67.572 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.190 * * * [progress]: [2/2] Setting up program.
0.193 * [progress]: [Phase 2 of 3] Improving.
0.194 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.194 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.194 * * [simplify]: iteration 1: (13 enodes)
0.197 * * [simplify]: iteration 2: (31 enodes)
0.208 * * [simplify]: iteration 3: (62 enodes)
0.260 * * [simplify]: iteration 4: (124 enodes)
0.332 * * [simplify]: iteration 5: (330 enodes)
0.509 * * [simplify]: iteration 6: (827 enodes)
1.351 * * [simplify]: iteration 7: (1992 enodes)
8.201 * * [simplify]: Extracting #0: cost 1 inf + 0
8.202 * * [simplify]: Extracting #1: cost 116 inf + 0
8.209 * * [simplify]: Extracting #2: cost 506 inf + 1
8.217 * * [simplify]: Extracting #3: cost 588 inf + 50
8.232 * * [simplify]: Extracting #4: cost 591 inf + 1270
8.252 * * [simplify]: Extracting #5: cost 475 inf + 39174
8.414 * * [simplify]: Extracting #6: cost 113 inf + 397134
8.611 * * [simplify]: Extracting #7: cost 0 inf + 509518
8.777 * * [simplify]: Extracting #8: cost 0 inf + 492512
9.008 * * [simplify]: Extracting #9: cost 0 inf + 481384
9.237 * * [simplify]: Extracting #10: cost 0 inf + 480399
9.417 * * [simplify]: Extracting #11: cost 0 inf + 480349
9.638 * [simplify]: Simplified to:
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
9.644 * * [progress]: iteration 1 / 4
9.644 * * * [progress]: picking best candidate
9.649 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
9.650 * * * [progress]: localizing error
9.675 * * * [progress]: generating rewritten candidates
9.675 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
9.706 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
9.731 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
9.757 * * * [progress]: generating series expansions
9.757 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
9.758 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
9.758 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
9.758 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
9.758 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
9.758 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
9.758 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
9.758 * [taylor]: Taking taylor expansion of 1/2 in k
9.758 * [backup-simplify]: Simplify 1/2 into 1/2
9.758 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
9.758 * [taylor]: Taking taylor expansion of 1/2 in k
9.758 * [backup-simplify]: Simplify 1/2 into 1/2
9.758 * [taylor]: Taking taylor expansion of k in k
9.758 * [backup-simplify]: Simplify 0 into 0
9.758 * [backup-simplify]: Simplify 1 into 1
9.758 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
9.758 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
9.758 * [taylor]: Taking taylor expansion of 2 in k
9.758 * [backup-simplify]: Simplify 2 into 2
9.758 * [taylor]: Taking taylor expansion of (* n PI) in k
9.758 * [taylor]: Taking taylor expansion of n in k
9.758 * [backup-simplify]: Simplify n into n
9.758 * [taylor]: Taking taylor expansion of PI in k
9.758 * [backup-simplify]: Simplify PI into PI
9.758 * [backup-simplify]: Simplify (* n PI) into (* n PI)
9.758 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
9.758 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
9.759 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.759 * [backup-simplify]: Simplify (- 0) into 0
9.759 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
9.760 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
9.760 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
9.760 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
9.760 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
9.760 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
9.760 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
9.760 * [taylor]: Taking taylor expansion of 1/2 in n
9.760 * [backup-simplify]: Simplify 1/2 into 1/2
9.760 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
9.760 * [taylor]: Taking taylor expansion of 1/2 in n
9.760 * [backup-simplify]: Simplify 1/2 into 1/2
9.760 * [taylor]: Taking taylor expansion of k in n
9.760 * [backup-simplify]: Simplify k into k
9.760 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.760 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.760 * [taylor]: Taking taylor expansion of 2 in n
9.760 * [backup-simplify]: Simplify 2 into 2
9.760 * [taylor]: Taking taylor expansion of (* n PI) in n
9.760 * [taylor]: Taking taylor expansion of n in n
9.760 * [backup-simplify]: Simplify 0 into 0
9.760 * [backup-simplify]: Simplify 1 into 1
9.760 * [taylor]: Taking taylor expansion of PI in n
9.760 * [backup-simplify]: Simplify PI into PI
9.761 * [backup-simplify]: Simplify (* 0 PI) into 0
9.761 * [backup-simplify]: Simplify (* 2 0) into 0
9.762 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.764 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.765 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.765 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
9.765 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
9.766 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
9.767 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.768 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
9.769 * [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)))))
9.769 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
9.769 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
9.769 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
9.769 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
9.769 * [taylor]: Taking taylor expansion of 1/2 in n
9.769 * [backup-simplify]: Simplify 1/2 into 1/2
9.769 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
9.769 * [taylor]: Taking taylor expansion of 1/2 in n
9.769 * [backup-simplify]: Simplify 1/2 into 1/2
9.769 * [taylor]: Taking taylor expansion of k in n
9.769 * [backup-simplify]: Simplify k into k
9.769 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.769 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.769 * [taylor]: Taking taylor expansion of 2 in n
9.769 * [backup-simplify]: Simplify 2 into 2
9.769 * [taylor]: Taking taylor expansion of (* n PI) in n
9.769 * [taylor]: Taking taylor expansion of n in n
9.769 * [backup-simplify]: Simplify 0 into 0
9.769 * [backup-simplify]: Simplify 1 into 1
9.769 * [taylor]: Taking taylor expansion of PI in n
9.769 * [backup-simplify]: Simplify PI into PI
9.770 * [backup-simplify]: Simplify (* 0 PI) into 0
9.770 * [backup-simplify]: Simplify (* 2 0) into 0
9.772 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.773 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.774 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.774 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
9.774 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
9.774 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
9.776 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.777 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
9.778 * [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)))))
9.778 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
9.778 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
9.778 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
9.778 * [taylor]: Taking taylor expansion of 1/2 in k
9.778 * [backup-simplify]: Simplify 1/2 into 1/2
9.778 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
9.778 * [taylor]: Taking taylor expansion of 1/2 in k
9.778 * [backup-simplify]: Simplify 1/2 into 1/2
9.778 * [taylor]: Taking taylor expansion of k in k
9.778 * [backup-simplify]: Simplify 0 into 0
9.778 * [backup-simplify]: Simplify 1 into 1
9.778 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
9.778 * [taylor]: Taking taylor expansion of (log n) in k
9.778 * [taylor]: Taking taylor expansion of n in k
9.778 * [backup-simplify]: Simplify n into n
9.778 * [backup-simplify]: Simplify (log n) into (log n)
9.779 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
9.779 * [taylor]: Taking taylor expansion of (* 2 PI) in k
9.779 * [taylor]: Taking taylor expansion of 2 in k
9.779 * [backup-simplify]: Simplify 2 into 2
9.779 * [taylor]: Taking taylor expansion of PI in k
9.779 * [backup-simplify]: Simplify PI into PI
9.779 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.780 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.780 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.781 * [backup-simplify]: Simplify (- 0) into 0
9.781 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
9.782 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.783 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
9.784 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
9.785 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
9.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
9.791 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
9.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
9.794 * [backup-simplify]: Simplify (- 0) into 0
9.794 * [backup-simplify]: Simplify (+ 0 0) into 0
9.795 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.796 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
9.798 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.798 * [taylor]: Taking taylor expansion of 0 in k
9.798 * [backup-simplify]: Simplify 0 into 0
9.798 * [backup-simplify]: Simplify 0 into 0
9.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
9.800 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
9.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.802 * [backup-simplify]: Simplify (+ 0 0) into 0
9.803 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
9.803 * [backup-simplify]: Simplify (- 1/2) into -1/2
9.804 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
9.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
9.808 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
9.811 * [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)))))))
9.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
9.814 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
9.817 * [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
9.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
9.819 * [backup-simplify]: Simplify (- 0) into 0
9.819 * [backup-simplify]: Simplify (+ 0 0) into 0
9.820 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.822 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
9.824 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.824 * [taylor]: Taking taylor expansion of 0 in k
9.824 * [backup-simplify]: Simplify 0 into 0
9.824 * [backup-simplify]: Simplify 0 into 0
9.824 * [backup-simplify]: Simplify 0 into 0
9.826 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
9.827 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
9.830 * [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
9.831 * [backup-simplify]: Simplify (+ 0 0) into 0
9.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
9.832 * [backup-simplify]: Simplify (- 0) into 0
9.833 * [backup-simplify]: Simplify (+ 0 0) into 0
9.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
9.838 * [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)))))
9.842 * [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)))))
9.852 * [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)))))
9.853 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
9.853 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
9.853 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
9.853 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
9.853 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
9.853 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
9.853 * [taylor]: Taking taylor expansion of 1/2 in k
9.854 * [backup-simplify]: Simplify 1/2 into 1/2
9.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
9.854 * [taylor]: Taking taylor expansion of 1/2 in k
9.854 * [backup-simplify]: Simplify 1/2 into 1/2
9.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.854 * [taylor]: Taking taylor expansion of k in k
9.854 * [backup-simplify]: Simplify 0 into 0
9.854 * [backup-simplify]: Simplify 1 into 1
9.854 * [backup-simplify]: Simplify (/ 1 1) into 1
9.854 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
9.854 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
9.854 * [taylor]: Taking taylor expansion of 2 in k
9.854 * [backup-simplify]: Simplify 2 into 2
9.854 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.854 * [taylor]: Taking taylor expansion of PI in k
9.854 * [backup-simplify]: Simplify PI into PI
9.854 * [taylor]: Taking taylor expansion of n in k
9.854 * [backup-simplify]: Simplify n into n
9.854 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.854 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
9.854 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
9.855 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.855 * [backup-simplify]: Simplify (- 1/2) into -1/2
9.856 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
9.856 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
9.856 * [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))))
9.856 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
9.856 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
9.856 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
9.856 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
9.856 * [taylor]: Taking taylor expansion of 1/2 in n
9.856 * [backup-simplify]: Simplify 1/2 into 1/2
9.856 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
9.856 * [taylor]: Taking taylor expansion of 1/2 in n
9.856 * [backup-simplify]: Simplify 1/2 into 1/2
9.856 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.856 * [taylor]: Taking taylor expansion of k in n
9.856 * [backup-simplify]: Simplify k into k
9.856 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.856 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
9.856 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.856 * [taylor]: Taking taylor expansion of 2 in n
9.857 * [backup-simplify]: Simplify 2 into 2
9.857 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.857 * [taylor]: Taking taylor expansion of PI in n
9.857 * [backup-simplify]: Simplify PI into PI
9.857 * [taylor]: Taking taylor expansion of n in n
9.857 * [backup-simplify]: Simplify 0 into 0
9.857 * [backup-simplify]: Simplify 1 into 1
9.857 * [backup-simplify]: Simplify (/ PI 1) into PI
9.858 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.859 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.859 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
9.859 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
9.859 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
9.860 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.861 * [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)))
9.862 * [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))))
9.862 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
9.862 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
9.862 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
9.862 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
9.862 * [taylor]: Taking taylor expansion of 1/2 in n
9.862 * [backup-simplify]: Simplify 1/2 into 1/2
9.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
9.862 * [taylor]: Taking taylor expansion of 1/2 in n
9.863 * [backup-simplify]: Simplify 1/2 into 1/2
9.863 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.863 * [taylor]: Taking taylor expansion of k in n
9.863 * [backup-simplify]: Simplify k into k
9.863 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.863 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
9.863 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.863 * [taylor]: Taking taylor expansion of 2 in n
9.863 * [backup-simplify]: Simplify 2 into 2
9.863 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.863 * [taylor]: Taking taylor expansion of PI in n
9.863 * [backup-simplify]: Simplify PI into PI
9.863 * [taylor]: Taking taylor expansion of n in n
9.863 * [backup-simplify]: Simplify 0 into 0
9.863 * [backup-simplify]: Simplify 1 into 1
9.863 * [backup-simplify]: Simplify (/ PI 1) into PI
9.864 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.865 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.865 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
9.865 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
9.865 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
9.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.868 * [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)))
9.869 * [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))))
9.869 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
9.869 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
9.869 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
9.869 * [taylor]: Taking taylor expansion of 1/2 in k
9.869 * [backup-simplify]: Simplify 1/2 into 1/2
9.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
9.869 * [taylor]: Taking taylor expansion of 1/2 in k
9.869 * [backup-simplify]: Simplify 1/2 into 1/2
9.869 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.869 * [taylor]: Taking taylor expansion of k in k
9.869 * [backup-simplify]: Simplify 0 into 0
9.869 * [backup-simplify]: Simplify 1 into 1
9.869 * [backup-simplify]: Simplify (/ 1 1) into 1
9.869 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
9.869 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
9.869 * [taylor]: Taking taylor expansion of (* 2 PI) in k
9.870 * [taylor]: Taking taylor expansion of 2 in k
9.870 * [backup-simplify]: Simplify 2 into 2
9.870 * [taylor]: Taking taylor expansion of PI in k
9.870 * [backup-simplify]: Simplify PI into PI
9.870 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.871 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.871 * [taylor]: Taking taylor expansion of (log n) in k
9.871 * [taylor]: Taking taylor expansion of n in k
9.871 * [backup-simplify]: Simplify n into n
9.871 * [backup-simplify]: Simplify (log n) into (log n)
9.871 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.872 * [backup-simplify]: Simplify (- 1/2) into -1/2
9.872 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
9.872 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
9.873 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
9.874 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
9.874 * [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))))
9.875 * [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))))
9.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.876 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
9.877 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
9.878 * [backup-simplify]: Simplify (- 0) into 0
9.878 * [backup-simplify]: Simplify (+ 0 0) into 0
9.879 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.880 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
9.881 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
9.881 * [taylor]: Taking taylor expansion of 0 in k
9.881 * [backup-simplify]: Simplify 0 into 0
9.881 * [backup-simplify]: Simplify 0 into 0
9.881 * [backup-simplify]: Simplify 0 into 0
9.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.882 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
9.884 * [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
9.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
9.885 * [backup-simplify]: Simplify (- 0) into 0
9.885 * [backup-simplify]: Simplify (+ 0 0) into 0
9.886 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.887 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
9.888 * [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
9.888 * [taylor]: Taking taylor expansion of 0 in k
9.888 * [backup-simplify]: Simplify 0 into 0
9.888 * [backup-simplify]: Simplify 0 into 0
9.888 * [backup-simplify]: Simplify 0 into 0
9.888 * [backup-simplify]: Simplify 0 into 0
9.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.890 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.893 * [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
9.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
9.895 * [backup-simplify]: Simplify (- 0) into 0
9.895 * [backup-simplify]: Simplify (+ 0 0) into 0
9.896 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.897 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
9.898 * [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
9.898 * [taylor]: Taking taylor expansion of 0 in k
9.898 * [backup-simplify]: Simplify 0 into 0
9.898 * [backup-simplify]: Simplify 0 into 0
9.899 * [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)))))
9.899 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
9.899 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
9.900 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
9.900 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
9.900 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
9.900 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
9.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
9.900 * [taylor]: Taking taylor expansion of 1/2 in k
9.900 * [backup-simplify]: Simplify 1/2 into 1/2
9.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.900 * [taylor]: Taking taylor expansion of k in k
9.900 * [backup-simplify]: Simplify 0 into 0
9.900 * [backup-simplify]: Simplify 1 into 1
9.900 * [backup-simplify]: Simplify (/ 1 1) into 1
9.900 * [taylor]: Taking taylor expansion of 1/2 in k
9.900 * [backup-simplify]: Simplify 1/2 into 1/2
9.900 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
9.900 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
9.900 * [taylor]: Taking taylor expansion of -2 in k
9.900 * [backup-simplify]: Simplify -2 into -2
9.900 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.900 * [taylor]: Taking taylor expansion of PI in k
9.900 * [backup-simplify]: Simplify PI into PI
9.900 * [taylor]: Taking taylor expansion of n in k
9.900 * [backup-simplify]: Simplify n into n
9.900 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.900 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
9.900 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
9.901 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.901 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
9.901 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
9.901 * [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)))
9.901 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
9.901 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
9.901 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
9.901 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
9.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
9.901 * [taylor]: Taking taylor expansion of 1/2 in n
9.901 * [backup-simplify]: Simplify 1/2 into 1/2
9.901 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.901 * [taylor]: Taking taylor expansion of k in n
9.901 * [backup-simplify]: Simplify k into k
9.901 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.901 * [taylor]: Taking taylor expansion of 1/2 in n
9.901 * [backup-simplify]: Simplify 1/2 into 1/2
9.901 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.901 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.901 * [taylor]: Taking taylor expansion of -2 in n
9.901 * [backup-simplify]: Simplify -2 into -2
9.901 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.901 * [taylor]: Taking taylor expansion of PI in n
9.901 * [backup-simplify]: Simplify PI into PI
9.901 * [taylor]: Taking taylor expansion of n in n
9.901 * [backup-simplify]: Simplify 0 into 0
9.901 * [backup-simplify]: Simplify 1 into 1
9.902 * [backup-simplify]: Simplify (/ PI 1) into PI
9.902 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.903 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.903 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
9.903 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
9.903 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.904 * [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)))
9.905 * [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))))
9.905 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
9.905 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
9.905 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
9.905 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
9.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
9.905 * [taylor]: Taking taylor expansion of 1/2 in n
9.905 * [backup-simplify]: Simplify 1/2 into 1/2
9.905 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.905 * [taylor]: Taking taylor expansion of k in n
9.905 * [backup-simplify]: Simplify k into k
9.905 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.905 * [taylor]: Taking taylor expansion of 1/2 in n
9.905 * [backup-simplify]: Simplify 1/2 into 1/2
9.905 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.905 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.905 * [taylor]: Taking taylor expansion of -2 in n
9.905 * [backup-simplify]: Simplify -2 into -2
9.905 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.905 * [taylor]: Taking taylor expansion of PI in n
9.905 * [backup-simplify]: Simplify PI into PI
9.905 * [taylor]: Taking taylor expansion of n in n
9.905 * [backup-simplify]: Simplify 0 into 0
9.905 * [backup-simplify]: Simplify 1 into 1
9.905 * [backup-simplify]: Simplify (/ PI 1) into PI
9.906 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.908 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.908 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
9.908 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
9.909 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.910 * [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)))
9.910 * [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))))
9.910 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
9.911 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
9.911 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
9.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
9.911 * [taylor]: Taking taylor expansion of 1/2 in k
9.911 * [backup-simplify]: Simplify 1/2 into 1/2
9.911 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.911 * [taylor]: Taking taylor expansion of k in k
9.911 * [backup-simplify]: Simplify 0 into 0
9.911 * [backup-simplify]: Simplify 1 into 1
9.911 * [backup-simplify]: Simplify (/ 1 1) into 1
9.911 * [taylor]: Taking taylor expansion of 1/2 in k
9.911 * [backup-simplify]: Simplify 1/2 into 1/2
9.911 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
9.911 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
9.911 * [taylor]: Taking taylor expansion of (* -2 PI) in k
9.911 * [taylor]: Taking taylor expansion of -2 in k
9.911 * [backup-simplify]: Simplify -2 into -2
9.911 * [taylor]: Taking taylor expansion of PI in k
9.911 * [backup-simplify]: Simplify PI into PI
9.911 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.912 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.912 * [taylor]: Taking taylor expansion of (log n) in k
9.912 * [taylor]: Taking taylor expansion of n in k
9.912 * [backup-simplify]: Simplify n into n
9.912 * [backup-simplify]: Simplify (log n) into (log n)
9.912 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.913 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
9.913 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
9.913 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
9.914 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
9.915 * [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))))
9.915 * [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))))
9.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.916 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
9.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
9.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
9.918 * [backup-simplify]: Simplify (+ 0 0) into 0
9.919 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.920 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
9.921 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
9.921 * [taylor]: Taking taylor expansion of 0 in k
9.921 * [backup-simplify]: Simplify 0 into 0
9.921 * [backup-simplify]: Simplify 0 into 0
9.921 * [backup-simplify]: Simplify 0 into 0
9.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.922 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
9.924 * [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
9.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
9.925 * [backup-simplify]: Simplify (+ 0 0) into 0
9.926 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.927 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
9.928 * [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
9.928 * [taylor]: Taking taylor expansion of 0 in k
9.928 * [backup-simplify]: Simplify 0 into 0
9.928 * [backup-simplify]: Simplify 0 into 0
9.928 * [backup-simplify]: Simplify 0 into 0
9.928 * [backup-simplify]: Simplify 0 into 0
9.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.930 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.933 * [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
9.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
9.935 * [backup-simplify]: Simplify (+ 0 0) into 0
9.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.938 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
9.941 * [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
9.941 * [taylor]: Taking taylor expansion of 0 in k
9.941 * [backup-simplify]: Simplify 0 into 0
9.941 * [backup-simplify]: Simplify 0 into 0
9.942 * [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)))))
9.942 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
9.943 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
9.943 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
9.943 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.943 * [taylor]: Taking taylor expansion of 2 in n
9.943 * [backup-simplify]: Simplify 2 into 2
9.943 * [taylor]: Taking taylor expansion of (* n PI) in n
9.943 * [taylor]: Taking taylor expansion of n in n
9.943 * [backup-simplify]: Simplify 0 into 0
9.943 * [backup-simplify]: Simplify 1 into 1
9.943 * [taylor]: Taking taylor expansion of PI in n
9.943 * [backup-simplify]: Simplify PI into PI
9.943 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.943 * [taylor]: Taking taylor expansion of 2 in n
9.943 * [backup-simplify]: Simplify 2 into 2
9.943 * [taylor]: Taking taylor expansion of (* n PI) in n
9.943 * [taylor]: Taking taylor expansion of n in n
9.943 * [backup-simplify]: Simplify 0 into 0
9.943 * [backup-simplify]: Simplify 1 into 1
9.943 * [taylor]: Taking taylor expansion of PI in n
9.943 * [backup-simplify]: Simplify PI into PI
9.944 * [backup-simplify]: Simplify (* 0 PI) into 0
9.944 * [backup-simplify]: Simplify (* 2 0) into 0
9.944 * [backup-simplify]: Simplify 0 into 0
9.946 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.947 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.948 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.949 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
9.950 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
9.950 * [backup-simplify]: Simplify 0 into 0
9.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
9.952 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
9.952 * [backup-simplify]: Simplify 0 into 0
9.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
9.955 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
9.955 * [backup-simplify]: Simplify 0 into 0
9.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
9.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
9.958 * [backup-simplify]: Simplify 0 into 0
9.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
9.961 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
9.962 * [backup-simplify]: Simplify 0 into 0
9.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
9.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
9.964 * [backup-simplify]: Simplify 0 into 0
9.964 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
9.965 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
9.965 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
9.965 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.965 * [taylor]: Taking taylor expansion of 2 in n
9.965 * [backup-simplify]: Simplify 2 into 2
9.965 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.965 * [taylor]: Taking taylor expansion of PI in n
9.965 * [backup-simplify]: Simplify PI into PI
9.965 * [taylor]: Taking taylor expansion of n in n
9.965 * [backup-simplify]: Simplify 0 into 0
9.965 * [backup-simplify]: Simplify 1 into 1
9.965 * [backup-simplify]: Simplify (/ PI 1) into PI
9.965 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.965 * [taylor]: Taking taylor expansion of 2 in n
9.965 * [backup-simplify]: Simplify 2 into 2
9.965 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.965 * [taylor]: Taking taylor expansion of PI in n
9.965 * [backup-simplify]: Simplify PI into PI
9.965 * [taylor]: Taking taylor expansion of n in n
9.965 * [backup-simplify]: Simplify 0 into 0
9.965 * [backup-simplify]: Simplify 1 into 1
9.966 * [backup-simplify]: Simplify (/ PI 1) into PI
9.966 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.966 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.967 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
9.967 * [backup-simplify]: Simplify 0 into 0
9.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
9.969 * [backup-simplify]: Simplify 0 into 0
9.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.970 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.970 * [backup-simplify]: Simplify 0 into 0
9.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.971 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
9.971 * [backup-simplify]: Simplify 0 into 0
9.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
9.973 * [backup-simplify]: Simplify 0 into 0
9.973 * [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
9.974 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
9.974 * [backup-simplify]: Simplify 0 into 0
9.975 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
9.975 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
9.975 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
9.975 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.975 * [taylor]: Taking taylor expansion of -2 in n
9.975 * [backup-simplify]: Simplify -2 into -2
9.975 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.975 * [taylor]: Taking taylor expansion of PI in n
9.975 * [backup-simplify]: Simplify PI into PI
9.975 * [taylor]: Taking taylor expansion of n in n
9.975 * [backup-simplify]: Simplify 0 into 0
9.975 * [backup-simplify]: Simplify 1 into 1
9.976 * [backup-simplify]: Simplify (/ PI 1) into PI
9.976 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.976 * [taylor]: Taking taylor expansion of -2 in n
9.976 * [backup-simplify]: Simplify -2 into -2
9.976 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.976 * [taylor]: Taking taylor expansion of PI in n
9.976 * [backup-simplify]: Simplify PI into PI
9.976 * [taylor]: Taking taylor expansion of n in n
9.976 * [backup-simplify]: Simplify 0 into 0
9.976 * [backup-simplify]: Simplify 1 into 1
9.976 * [backup-simplify]: Simplify (/ PI 1) into PI
9.976 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.977 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.978 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
9.978 * [backup-simplify]: Simplify 0 into 0
9.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.979 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
9.979 * [backup-simplify]: Simplify 0 into 0
9.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.980 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.980 * [backup-simplify]: Simplify 0 into 0
9.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.981 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
9.981 * [backup-simplify]: Simplify 0 into 0
9.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.983 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
9.983 * [backup-simplify]: Simplify 0 into 0
9.983 * [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
9.984 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
9.984 * [backup-simplify]: Simplify 0 into 0
9.985 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
9.985 * * * * [progress]: [ 3 / 3 ] generating series at (2)
9.985 * [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))))
9.985 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
9.985 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
9.985 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
9.985 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.985 * [taylor]: Taking taylor expansion of k in k
9.985 * [backup-simplify]: Simplify 0 into 0
9.985 * [backup-simplify]: Simplify 1 into 1
9.986 * [backup-simplify]: Simplify (/ 1 1) into 1
9.986 * [backup-simplify]: Simplify (sqrt 0) into 0
9.987 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.987 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
9.987 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
9.987 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
9.987 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
9.987 * [taylor]: Taking taylor expansion of 1/2 in k
9.987 * [backup-simplify]: Simplify 1/2 into 1/2
9.987 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
9.987 * [taylor]: Taking taylor expansion of 1/2 in k
9.987 * [backup-simplify]: Simplify 1/2 into 1/2
9.987 * [taylor]: Taking taylor expansion of k in k
9.987 * [backup-simplify]: Simplify 0 into 0
9.987 * [backup-simplify]: Simplify 1 into 1
9.987 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
9.987 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
9.987 * [taylor]: Taking taylor expansion of 2 in k
9.987 * [backup-simplify]: Simplify 2 into 2
9.987 * [taylor]: Taking taylor expansion of (* n PI) in k
9.987 * [taylor]: Taking taylor expansion of n in k
9.987 * [backup-simplify]: Simplify n into n
9.987 * [taylor]: Taking taylor expansion of PI in k
9.987 * [backup-simplify]: Simplify PI into PI
9.987 * [backup-simplify]: Simplify (* n PI) into (* n PI)
9.987 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
9.987 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
9.988 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.988 * [backup-simplify]: Simplify (- 0) into 0
9.988 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
9.988 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
9.988 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
9.988 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
9.988 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
9.988 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.988 * [taylor]: Taking taylor expansion of k in n
9.988 * [backup-simplify]: Simplify k into k
9.988 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.988 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
9.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
9.988 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
9.989 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
9.989 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
9.989 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
9.989 * [taylor]: Taking taylor expansion of 1/2 in n
9.989 * [backup-simplify]: Simplify 1/2 into 1/2
9.989 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
9.989 * [taylor]: Taking taylor expansion of 1/2 in n
9.989 * [backup-simplify]: Simplify 1/2 into 1/2
9.989 * [taylor]: Taking taylor expansion of k in n
9.989 * [backup-simplify]: Simplify k into k
9.989 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.989 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.989 * [taylor]: Taking taylor expansion of 2 in n
9.989 * [backup-simplify]: Simplify 2 into 2
9.989 * [taylor]: Taking taylor expansion of (* n PI) in n
9.989 * [taylor]: Taking taylor expansion of n in n
9.989 * [backup-simplify]: Simplify 0 into 0
9.989 * [backup-simplify]: Simplify 1 into 1
9.989 * [taylor]: Taking taylor expansion of PI in n
9.989 * [backup-simplify]: Simplify PI into PI
9.989 * [backup-simplify]: Simplify (* 0 PI) into 0
9.990 * [backup-simplify]: Simplify (* 2 0) into 0
9.991 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.993 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.994 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.994 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
9.994 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
9.994 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
9.996 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.997 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
9.998 * [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)))))
9.998 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
9.998 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
9.998 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.998 * [taylor]: Taking taylor expansion of k in n
9.998 * [backup-simplify]: Simplify k into k
9.998 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.998 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
9.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
9.998 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
9.998 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
9.998 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
9.998 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
9.998 * [taylor]: Taking taylor expansion of 1/2 in n
9.998 * [backup-simplify]: Simplify 1/2 into 1/2
9.998 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
9.998 * [taylor]: Taking taylor expansion of 1/2 in n
9.998 * [backup-simplify]: Simplify 1/2 into 1/2
9.998 * [taylor]: Taking taylor expansion of k in n
9.998 * [backup-simplify]: Simplify k into k
9.999 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.999 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.999 * [taylor]: Taking taylor expansion of 2 in n
9.999 * [backup-simplify]: Simplify 2 into 2
9.999 * [taylor]: Taking taylor expansion of (* n PI) in n
9.999 * [taylor]: Taking taylor expansion of n in n
9.999 * [backup-simplify]: Simplify 0 into 0
9.999 * [backup-simplify]: Simplify 1 into 1
9.999 * [taylor]: Taking taylor expansion of PI in n
9.999 * [backup-simplify]: Simplify PI into PI
9.999 * [backup-simplify]: Simplify (* 0 PI) into 0
10.000 * [backup-simplify]: Simplify (* 2 0) into 0
10.001 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.003 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.004 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.004 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.004 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.004 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.005 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.006 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
10.007 * [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)))))
10.008 * [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)))
10.008 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
10.008 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
10.009 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
10.009 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.009 * [taylor]: Taking taylor expansion of 1/2 in k
10.009 * [backup-simplify]: Simplify 1/2 into 1/2
10.009 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.009 * [taylor]: Taking taylor expansion of 1/2 in k
10.009 * [backup-simplify]: Simplify 1/2 into 1/2
10.009 * [taylor]: Taking taylor expansion of k in k
10.009 * [backup-simplify]: Simplify 0 into 0
10.009 * [backup-simplify]: Simplify 1 into 1
10.009 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
10.009 * [taylor]: Taking taylor expansion of (log n) in k
10.009 * [taylor]: Taking taylor expansion of n in k
10.009 * [backup-simplify]: Simplify n into n
10.009 * [backup-simplify]: Simplify (log n) into (log n)
10.009 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
10.009 * [taylor]: Taking taylor expansion of (* 2 PI) in k
10.009 * [taylor]: Taking taylor expansion of 2 in k
10.009 * [backup-simplify]: Simplify 2 into 2
10.009 * [taylor]: Taking taylor expansion of PI in k
10.009 * [backup-simplify]: Simplify PI into PI
10.010 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.010 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.011 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.011 * [backup-simplify]: Simplify (- 0) into 0
10.012 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.013 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.014 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
10.015 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
10.015 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
10.015 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.015 * [taylor]: Taking taylor expansion of k in k
10.015 * [backup-simplify]: Simplify 0 into 0
10.015 * [backup-simplify]: Simplify 1 into 1
10.015 * [backup-simplify]: Simplify (/ 1 1) into 1
10.016 * [backup-simplify]: Simplify (sqrt 0) into 0
10.019 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.020 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
10.020 * [backup-simplify]: Simplify 0 into 0
10.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
10.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
10.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
10.024 * [backup-simplify]: Simplify (- 0) into 0
10.025 * [backup-simplify]: Simplify (+ 0 0) into 0
10.026 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.027 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
10.029 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.030 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
10.030 * [taylor]: Taking taylor expansion of 0 in k
10.030 * [backup-simplify]: Simplify 0 into 0
10.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
10.031 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.033 * [backup-simplify]: Simplify (+ 0 0) into 0
10.033 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.033 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.034 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
10.036 * [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)))))))
10.039 * [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)))))))
10.039 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
10.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
10.041 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
10.043 * [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
10.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
10.044 * [backup-simplify]: Simplify (- 0) into 0
10.044 * [backup-simplify]: Simplify (+ 0 0) into 0
10.045 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.046 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.047 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.048 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
10.049 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
10.049 * [taylor]: Taking taylor expansion of 0 in k
10.049 * [backup-simplify]: Simplify 0 into 0
10.049 * [backup-simplify]: Simplify 0 into 0
10.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.051 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.052 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
10.053 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
10.054 * [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
10.055 * [backup-simplify]: Simplify (+ 0 0) into 0
10.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.056 * [backup-simplify]: Simplify (- 0) into 0
10.056 * [backup-simplify]: Simplify (+ 0 0) into 0
10.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.059 * [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)))))
10.064 * [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))))))))
10.067 * [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))))))))
10.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
10.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
10.072 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
10.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
10.073 * [backup-simplify]: Simplify (- 0) into 0
10.073 * [backup-simplify]: Simplify (+ 0 0) into 0
10.074 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.075 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
10.076 * [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
10.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
10.078 * [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
10.078 * [taylor]: Taking taylor expansion of 0 in k
10.078 * [backup-simplify]: Simplify 0 into 0
10.078 * [backup-simplify]: Simplify 0 into 0
10.078 * [backup-simplify]: Simplify 0 into 0
10.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.084 * [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
10.085 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
10.091 * [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
10.091 * [backup-simplify]: Simplify (+ 0 0) into 0
10.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.093 * [backup-simplify]: Simplify (- 0) into 0
10.093 * [backup-simplify]: Simplify (+ 0 0) into 0
10.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
10.100 * [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)))))))
10.110 * [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))))))))))))))
10.118 * [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))))))))))))))
10.134 * [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))))))))))))))))))))))
10.135 * [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)))))
10.135 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
10.135 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
10.135 * [taylor]: Taking taylor expansion of (sqrt k) in k
10.135 * [taylor]: Taking taylor expansion of k in k
10.135 * [backup-simplify]: Simplify 0 into 0
10.135 * [backup-simplify]: Simplify 1 into 1
10.135 * [backup-simplify]: Simplify (sqrt 0) into 0
10.137 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.137 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
10.137 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
10.137 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
10.137 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.137 * [taylor]: Taking taylor expansion of 1/2 in k
10.137 * [backup-simplify]: Simplify 1/2 into 1/2
10.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.137 * [taylor]: Taking taylor expansion of 1/2 in k
10.137 * [backup-simplify]: Simplify 1/2 into 1/2
10.137 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.137 * [taylor]: Taking taylor expansion of k in k
10.137 * [backup-simplify]: Simplify 0 into 0
10.137 * [backup-simplify]: Simplify 1 into 1
10.137 * [backup-simplify]: Simplify (/ 1 1) into 1
10.137 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
10.137 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
10.137 * [taylor]: Taking taylor expansion of 2 in k
10.137 * [backup-simplify]: Simplify 2 into 2
10.137 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.137 * [taylor]: Taking taylor expansion of PI in k
10.138 * [backup-simplify]: Simplify PI into PI
10.138 * [taylor]: Taking taylor expansion of n in k
10.138 * [backup-simplify]: Simplify n into n
10.138 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.138 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
10.138 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
10.138 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.139 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.139 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.139 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
10.139 * [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))))
10.139 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.139 * [taylor]: Taking taylor expansion of (sqrt k) in n
10.139 * [taylor]: Taking taylor expansion of k in n
10.139 * [backup-simplify]: Simplify k into k
10.139 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
10.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
10.140 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.140 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.140 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.140 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.140 * [taylor]: Taking taylor expansion of 1/2 in n
10.140 * [backup-simplify]: Simplify 1/2 into 1/2
10.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.140 * [taylor]: Taking taylor expansion of 1/2 in n
10.140 * [backup-simplify]: Simplify 1/2 into 1/2
10.140 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.140 * [taylor]: Taking taylor expansion of k in n
10.140 * [backup-simplify]: Simplify k into k
10.140 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.140 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.140 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.140 * [taylor]: Taking taylor expansion of 2 in n
10.140 * [backup-simplify]: Simplify 2 into 2
10.140 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.140 * [taylor]: Taking taylor expansion of PI in n
10.140 * [backup-simplify]: Simplify PI into PI
10.140 * [taylor]: Taking taylor expansion of n in n
10.140 * [backup-simplify]: Simplify 0 into 0
10.140 * [backup-simplify]: Simplify 1 into 1
10.141 * [backup-simplify]: Simplify (/ PI 1) into PI
10.141 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.142 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.142 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.142 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.142 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.143 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.144 * [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)))
10.145 * [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))))
10.145 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.145 * [taylor]: Taking taylor expansion of (sqrt k) in n
10.145 * [taylor]: Taking taylor expansion of k in n
10.145 * [backup-simplify]: Simplify k into k
10.145 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
10.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
10.145 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.145 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.145 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.145 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.145 * [taylor]: Taking taylor expansion of 1/2 in n
10.145 * [backup-simplify]: Simplify 1/2 into 1/2
10.145 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.145 * [taylor]: Taking taylor expansion of 1/2 in n
10.145 * [backup-simplify]: Simplify 1/2 into 1/2
10.145 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.145 * [taylor]: Taking taylor expansion of k in n
10.145 * [backup-simplify]: Simplify k into k
10.145 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.145 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.145 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.145 * [taylor]: Taking taylor expansion of 2 in n
10.145 * [backup-simplify]: Simplify 2 into 2
10.145 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.145 * [taylor]: Taking taylor expansion of PI in n
10.145 * [backup-simplify]: Simplify PI into PI
10.145 * [taylor]: Taking taylor expansion of n in n
10.145 * [backup-simplify]: Simplify 0 into 0
10.145 * [backup-simplify]: Simplify 1 into 1
10.145 * [backup-simplify]: Simplify (/ PI 1) into PI
10.146 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.146 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.146 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.146 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.146 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.147 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.148 * [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)))
10.149 * [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))))
10.149 * [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))
10.149 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
10.150 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
10.150 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
10.150 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.150 * [taylor]: Taking taylor expansion of 1/2 in k
10.150 * [backup-simplify]: Simplify 1/2 into 1/2
10.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.150 * [taylor]: Taking taylor expansion of 1/2 in k
10.150 * [backup-simplify]: Simplify 1/2 into 1/2
10.150 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.150 * [taylor]: Taking taylor expansion of k in k
10.150 * [backup-simplify]: Simplify 0 into 0
10.150 * [backup-simplify]: Simplify 1 into 1
10.150 * [backup-simplify]: Simplify (/ 1 1) into 1
10.150 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
10.150 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
10.150 * [taylor]: Taking taylor expansion of (* 2 PI) in k
10.150 * [taylor]: Taking taylor expansion of 2 in k
10.150 * [backup-simplify]: Simplify 2 into 2
10.150 * [taylor]: Taking taylor expansion of PI in k
10.150 * [backup-simplify]: Simplify PI into PI
10.150 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.151 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.151 * [taylor]: Taking taylor expansion of (log n) in k
10.151 * [taylor]: Taking taylor expansion of n in k
10.151 * [backup-simplify]: Simplify n into n
10.151 * [backup-simplify]: Simplify (log n) into (log n)
10.151 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.152 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.152 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.152 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.152 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
10.153 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
10.154 * [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))))
10.154 * [taylor]: Taking taylor expansion of (sqrt k) in k
10.154 * [taylor]: Taking taylor expansion of k in k
10.154 * [backup-simplify]: Simplify 0 into 0
10.154 * [backup-simplify]: Simplify 1 into 1
10.154 * [backup-simplify]: Simplify (sqrt 0) into 0
10.155 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.156 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
10.156 * [backup-simplify]: Simplify 0 into 0
10.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.157 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.159 * [backup-simplify]: Simplify (- 0) into 0
10.159 * [backup-simplify]: Simplify (+ 0 0) into 0
10.160 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.161 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
10.162 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.162 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
10.162 * [taylor]: Taking taylor expansion of 0 in k
10.162 * [backup-simplify]: Simplify 0 into 0
10.162 * [backup-simplify]: Simplify 0 into 0
10.163 * [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))))))
10.164 * [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))))))
10.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.165 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
10.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
10.168 * [backup-simplify]: Simplify (- 0) into 0
10.168 * [backup-simplify]: Simplify (+ 0 0) into 0
10.169 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.170 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
10.171 * [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
10.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
10.173 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
10.173 * [taylor]: Taking taylor expansion of 0 in k
10.173 * [backup-simplify]: Simplify 0 into 0
10.173 * [backup-simplify]: Simplify 0 into 0
10.173 * [backup-simplify]: Simplify 0 into 0
10.175 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.176 * [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))))))
10.177 * [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))))))
10.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.178 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
10.181 * [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
10.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
10.182 * [backup-simplify]: Simplify (- 0) into 0
10.182 * [backup-simplify]: Simplify (+ 0 0) into 0
10.183 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.184 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
10.187 * [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
10.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
10.190 * [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
10.190 * [taylor]: Taking taylor expansion of 0 in k
10.190 * [backup-simplify]: Simplify 0 into 0
10.190 * [backup-simplify]: Simplify 0 into 0
10.190 * [backup-simplify]: Simplify 0 into 0
10.190 * [backup-simplify]: Simplify 0 into 0
10.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.197 * [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))))))
10.198 * [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))))))
10.203 * [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))))))))
10.204 * [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)))
10.204 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
10.204 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
10.204 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.204 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
10.204 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
10.204 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.204 * [taylor]: Taking taylor expansion of 1/2 in k
10.204 * [backup-simplify]: Simplify 1/2 into 1/2
10.204 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.204 * [taylor]: Taking taylor expansion of k in k
10.204 * [backup-simplify]: Simplify 0 into 0
10.204 * [backup-simplify]: Simplify 1 into 1
10.204 * [backup-simplify]: Simplify (/ 1 1) into 1
10.204 * [taylor]: Taking taylor expansion of 1/2 in k
10.205 * [backup-simplify]: Simplify 1/2 into 1/2
10.205 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
10.205 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
10.205 * [taylor]: Taking taylor expansion of -2 in k
10.205 * [backup-simplify]: Simplify -2 into -2
10.205 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.205 * [taylor]: Taking taylor expansion of PI in k
10.205 * [backup-simplify]: Simplify PI into PI
10.205 * [taylor]: Taking taylor expansion of n in k
10.205 * [backup-simplify]: Simplify n into n
10.205 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.205 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
10.205 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
10.205 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.206 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.206 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
10.206 * [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)))
10.206 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
10.206 * [taylor]: Taking taylor expansion of (/ -1 k) in k
10.206 * [taylor]: Taking taylor expansion of -1 in k
10.206 * [backup-simplify]: Simplify -1 into -1
10.206 * [taylor]: Taking taylor expansion of k in k
10.206 * [backup-simplify]: Simplify 0 into 0
10.206 * [backup-simplify]: Simplify 1 into 1
10.207 * [backup-simplify]: Simplify (/ -1 1) into -1
10.207 * [backup-simplify]: Simplify (sqrt 0) into 0
10.209 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
10.209 * [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))))
10.209 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
10.209 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.209 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
10.209 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
10.209 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.209 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.209 * [taylor]: Taking taylor expansion of 1/2 in n
10.209 * [backup-simplify]: Simplify 1/2 into 1/2
10.209 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.209 * [taylor]: Taking taylor expansion of k in n
10.209 * [backup-simplify]: Simplify k into k
10.209 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.209 * [taylor]: Taking taylor expansion of 1/2 in n
10.209 * [backup-simplify]: Simplify 1/2 into 1/2
10.209 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.209 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.209 * [taylor]: Taking taylor expansion of -2 in n
10.209 * [backup-simplify]: Simplify -2 into -2
10.209 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.209 * [taylor]: Taking taylor expansion of PI in n
10.209 * [backup-simplify]: Simplify PI into PI
10.209 * [taylor]: Taking taylor expansion of n in n
10.209 * [backup-simplify]: Simplify 0 into 0
10.210 * [backup-simplify]: Simplify 1 into 1
10.210 * [backup-simplify]: Simplify (/ PI 1) into PI
10.210 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.211 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.212 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.212 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.213 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.216 * [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)))
10.218 * [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))))
10.218 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
10.218 * [taylor]: Taking taylor expansion of (/ -1 k) in n
10.218 * [taylor]: Taking taylor expansion of -1 in n
10.218 * [backup-simplify]: Simplify -1 into -1
10.218 * [taylor]: Taking taylor expansion of k in n
10.218 * [backup-simplify]: Simplify k into k
10.218 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
10.218 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
10.218 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
10.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
10.219 * [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)))
10.219 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
10.220 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.220 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
10.220 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
10.220 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.220 * [taylor]: Taking taylor expansion of 1/2 in n
10.220 * [backup-simplify]: Simplify 1/2 into 1/2
10.220 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.220 * [taylor]: Taking taylor expansion of k in n
10.220 * [backup-simplify]: Simplify k into k
10.220 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.220 * [taylor]: Taking taylor expansion of 1/2 in n
10.220 * [backup-simplify]: Simplify 1/2 into 1/2
10.220 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.220 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.220 * [taylor]: Taking taylor expansion of -2 in n
10.220 * [backup-simplify]: Simplify -2 into -2
10.220 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.220 * [taylor]: Taking taylor expansion of PI in n
10.220 * [backup-simplify]: Simplify PI into PI
10.220 * [taylor]: Taking taylor expansion of n in n
10.220 * [backup-simplify]: Simplify 0 into 0
10.220 * [backup-simplify]: Simplify 1 into 1
10.221 * [backup-simplify]: Simplify (/ PI 1) into PI
10.221 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.222 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.222 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.222 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.224 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.225 * [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)))
10.226 * [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))))
10.226 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
10.226 * [taylor]: Taking taylor expansion of (/ -1 k) in n
10.226 * [taylor]: Taking taylor expansion of -1 in n
10.226 * [backup-simplify]: Simplify -1 into -1
10.226 * [taylor]: Taking taylor expansion of k in n
10.226 * [backup-simplify]: Simplify k into k
10.226 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
10.226 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
10.226 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
10.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
10.228 * [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)))
10.228 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
10.228 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
10.228 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
10.228 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.228 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.228 * [taylor]: Taking taylor expansion of 1/2 in k
10.228 * [backup-simplify]: Simplify 1/2 into 1/2
10.228 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.228 * [taylor]: Taking taylor expansion of k in k
10.228 * [backup-simplify]: Simplify 0 into 0
10.228 * [backup-simplify]: Simplify 1 into 1
10.228 * [backup-simplify]: Simplify (/ 1 1) into 1
10.228 * [taylor]: Taking taylor expansion of 1/2 in k
10.228 * [backup-simplify]: Simplify 1/2 into 1/2
10.228 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
10.228 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
10.229 * [taylor]: Taking taylor expansion of (* -2 PI) in k
10.229 * [taylor]: Taking taylor expansion of -2 in k
10.229 * [backup-simplify]: Simplify -2 into -2
10.229 * [taylor]: Taking taylor expansion of PI in k
10.229 * [backup-simplify]: Simplify PI into PI
10.229 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.230 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.230 * [taylor]: Taking taylor expansion of (log n) in k
10.230 * [taylor]: Taking taylor expansion of n in k
10.230 * [backup-simplify]: Simplify n into n
10.230 * [backup-simplify]: Simplify (log n) into (log n)
10.231 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.231 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.231 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.232 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
10.233 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
10.234 * [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))))
10.234 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
10.234 * [taylor]: Taking taylor expansion of (/ -1 k) in k
10.234 * [taylor]: Taking taylor expansion of -1 in k
10.234 * [backup-simplify]: Simplify -1 into -1
10.234 * [taylor]: Taking taylor expansion of k in k
10.234 * [backup-simplify]: Simplify 0 into 0
10.234 * [backup-simplify]: Simplify 1 into 1
10.234 * [backup-simplify]: Simplify (/ -1 1) into -1
10.234 * [backup-simplify]: Simplify (sqrt 0) into 0
10.235 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
10.236 * [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)))))
10.237 * [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)))))
10.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.238 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
10.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
10.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.239 * [backup-simplify]: Simplify (+ 0 0) into 0
10.240 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.241 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
10.242 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.243 * [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
10.243 * [taylor]: Taking taylor expansion of 0 in k
10.243 * [backup-simplify]: Simplify 0 into 0
10.243 * [backup-simplify]: Simplify 0 into 0
10.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.245 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.246 * [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))))))
10.247 * [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))))))
10.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.249 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
10.251 * [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
10.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
10.251 * [backup-simplify]: Simplify (+ 0 0) into 0
10.252 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.253 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
10.255 * [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
10.255 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.255 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
10.256 * [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
10.256 * [taylor]: Taking taylor expansion of 0 in k
10.256 * [backup-simplify]: Simplify 0 into 0
10.256 * [backup-simplify]: Simplify 0 into 0
10.256 * [backup-simplify]: Simplify 0 into 0
10.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.261 * [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))))))
10.262 * [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))))))
10.264 * [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)))))))))))
10.264 * * * [progress]: simplifying candidates
10.265 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
10.265 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
10.265 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
10.265 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))>
10.265 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
10.265 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
10.265 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
10.265 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
10.265 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
10.265 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
10.265 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
10.266 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
10.266 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))>
10.266 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) 1))>
10.266 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
10.266 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
10.266 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
10.266 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
10.267 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
10.267 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
10.267 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
10.267 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
10.267 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
10.267 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
10.267 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
10.267 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (- (sqrt k))))>
10.267 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))>
10.267 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))>
10.267 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
10.267 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
10.267 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
10.267 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
10.267 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))>
10.267 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))>
10.267 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
10.267 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
10.267 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
10.267 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
10.267 * * * * [progress]: [ 71 / 127 ] 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)))))>
10.267 * * * * [progress]: [ 72 / 127 ] 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)))))>
10.267 * * * * [progress]: [ 73 / 127 ] 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)))))>
10.267 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
10.267 * * * * [progress]: [ 75 / 127 ] 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)))))>
10.268 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
10.268 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
10.268 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
10.268 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
10.268 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
10.268 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
10.268 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
10.268 * * * * [progress]: [ 83 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
10.268 * * * * [progress]: [ 84 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
10.268 * * * * [progress]: [ 85 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
10.268 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
10.268 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
10.268 * * * * [progress]: [ 88 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
10.268 * * * * [progress]: [ 89 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
10.268 * * * * [progress]: [ 90 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
10.268 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
10.268 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
10.268 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
10.268 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
10.268 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))>
10.268 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))>
10.268 * * * * [progress]: [ 97 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
10.268 * * * * [progress]: [ 98 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
10.268 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
10.268 * * * * [progress]: [ 100 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
10.269 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
10.269 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
10.269 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
10.269 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
10.269 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
10.269 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
10.269 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
10.269 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
10.269 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
10.269 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
10.269 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
10.269 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
10.269 * * * * [progress]: [ 113 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
10.269 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
10.269 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
10.269 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
10.269 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
10.269 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
10.269 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
10.269 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
10.269 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
10.269 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
10.269 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
10.269 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
10.269 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
10.270 * * * * [progress]: [ 126 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
10.270 * * * * [progress]: [ 127 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
10.271 * [simplify]: Simplifying:
  (* (+ (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)) 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))))
  (* 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)))
  (- (* (+ (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)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) 1)
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) 1)
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))
  (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) 1)
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1)
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1)
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1)
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ 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)))))))))))
10.274 * * [simplify]: iteration 1: (267 enodes)
10.365 * * [simplify]: iteration 2: (645 enodes)
10.846 * * [simplify]: Extracting #0: cost 97 inf + 0
10.847 * * [simplify]: Extracting #1: cost 377 inf + 1
10.853 * * [simplify]: Extracting #2: cost 524 inf + 14272
10.871 * * [simplify]: Extracting #3: cost 450 inf + 67790
10.897 * * [simplify]: Extracting #4: cost 250 inf + 153269
10.937 * * [simplify]: Extracting #5: cost 139 inf + 201974
10.981 * * [simplify]: Extracting #6: cost 93 inf + 229429
11.045 * * [simplify]: Extracting #7: cost 31 inf + 262243
11.104 * * [simplify]: Extracting #8: cost 6 inf + 282585
11.200 * * [simplify]: Extracting #9: cost 0 inf + 289225
11.280 * * [simplify]: Extracting #10: cost 0 inf + 289105
11.386 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ k 2))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* PI 2) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* PI 2) n)
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (- (/ k 2)))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* PI 2) (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* (* n n) (* n 8)) PI) (* PI PI))
  (* (* (* 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)
  (* 2 (* PI (cbrt n)))
  (* (sqrt n) (* PI 2))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (exp (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (/ (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k)) k)
  (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k))
  (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (/ k 2)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (/ k 2)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt k))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ 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) (- (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2))))
  (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (sqrt k) (pow (* (* PI 2) n) (/ k 2)))
  (real->posit16 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (+ (+ (* (* 1/4 (log (* PI 2))) (* (* (sqrt (* (* PI 2) n)) (log n)) (* k k))) (* (* 1/8 (* (* (log n) (log n)) (sqrt (* (* PI 2) n)))) (* k k))) (- (+ (* (* (* k k) (* (log (* PI 2)) (* (sqrt (* (* PI 2) n)) (log (* PI 2))))) 1/8) (sqrt (* (* PI 2) n))) (* 1/2 (* k (+ (* (sqrt (* (* PI 2) n)) (log n)) (* (sqrt (* (* PI 2) n)) (log (* PI 2))))))))
  (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2))))
  (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (+ (* (- (* (log (* PI 2)) +nan.0)) (* (* (sqrt (* (* PI 2) n)) (log n)) (* k k))) (- (* +nan.0 (* (* (sqrt (* (* PI 2) n)) (log (* PI 2))) (* k k))) (- (* (* (sqrt (* (* PI 2) n)) +nan.0) (* (* k (log n)) (* k (log n)))) (+ (- (* (* k (sqrt (* (* PI 2) n))) +nan.0) (* (sqrt (* (* PI 2) n)) +nan.0)) (+ (- (* (* (* k k) (* (log (* PI 2)) (* (sqrt (* (* PI 2) n)) (log (* PI 2))))) +nan.0) (* +nan.0 (* (* (sqrt (* (* PI 2) n)) (log n)) (* k k)))) (+ (- (* (* k k) (* (sqrt (* (* PI 2) n)) +nan.0)) (* +nan.0 (* k (* (sqrt (* (* PI 2) n)) (log (* PI 2)))))) (* (* (log n) k) (* (sqrt (* (* PI 2) n)) +nan.0))))))))
  (- (+ (- (* (/ (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2)))) (* k (* k k))) +nan.0) (/ (* (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2)))) +nan.0) k)) (/ (* (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2)))) +nan.0) (* k k))))
  (- (- (* +nan.0 (/ (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2)))) k)) (* +nan.0 (- (/ (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2)))) (* k k)) (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2))))))))
11.405 * * * [progress]: adding candidates to table
12.762 * * [progress]: iteration 2 / 4
12.762 * * * [progress]: picking best candidate
12.792 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
12.792 * * * [progress]: localizing error
12.821 * * * [progress]: generating rewritten candidates
12.821 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
12.836 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
12.848 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
12.868 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
12.915 * * * [progress]: generating series expansions
12.915 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
12.916 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
12.916 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
12.916 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
12.916 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
12.916 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
12.916 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
12.916 * [taylor]: Taking taylor expansion of 1/2 in k
12.916 * [backup-simplify]: Simplify 1/2 into 1/2
12.917 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
12.917 * [taylor]: Taking taylor expansion of 1/2 in k
12.917 * [backup-simplify]: Simplify 1/2 into 1/2
12.917 * [taylor]: Taking taylor expansion of k in k
12.917 * [backup-simplify]: Simplify 0 into 0
12.917 * [backup-simplify]: Simplify 1 into 1
12.917 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
12.917 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
12.917 * [taylor]: Taking taylor expansion of 2 in k
12.917 * [backup-simplify]: Simplify 2 into 2
12.917 * [taylor]: Taking taylor expansion of (* n PI) in k
12.917 * [taylor]: Taking taylor expansion of n in k
12.917 * [backup-simplify]: Simplify n into n
12.917 * [taylor]: Taking taylor expansion of PI in k
12.917 * [backup-simplify]: Simplify PI into PI
12.917 * [backup-simplify]: Simplify (* n PI) into (* n PI)
12.917 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
12.917 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
12.918 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.918 * [backup-simplify]: Simplify (- 0) into 0
12.918 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.918 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
12.919 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
12.919 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
12.919 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
12.919 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
12.919 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
12.919 * [taylor]: Taking taylor expansion of 1/2 in n
12.919 * [backup-simplify]: Simplify 1/2 into 1/2
12.919 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
12.919 * [taylor]: Taking taylor expansion of 1/2 in n
12.919 * [backup-simplify]: Simplify 1/2 into 1/2
12.919 * [taylor]: Taking taylor expansion of k in n
12.919 * [backup-simplify]: Simplify k into k
12.919 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
12.919 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.919 * [taylor]: Taking taylor expansion of 2 in n
12.919 * [backup-simplify]: Simplify 2 into 2
12.919 * [taylor]: Taking taylor expansion of (* n PI) in n
12.919 * [taylor]: Taking taylor expansion of n in n
12.919 * [backup-simplify]: Simplify 0 into 0
12.919 * [backup-simplify]: Simplify 1 into 1
12.919 * [taylor]: Taking taylor expansion of PI in n
12.919 * [backup-simplify]: Simplify PI into PI
12.920 * [backup-simplify]: Simplify (* 0 PI) into 0
12.920 * [backup-simplify]: Simplify (* 2 0) into 0
12.922 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.923 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
12.924 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.924 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
12.924 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
12.924 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
12.926 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.927 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
12.928 * [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)))))
12.928 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
12.928 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
12.928 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
12.928 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
12.928 * [taylor]: Taking taylor expansion of 1/2 in n
12.928 * [backup-simplify]: Simplify 1/2 into 1/2
12.928 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
12.929 * [taylor]: Taking taylor expansion of 1/2 in n
12.929 * [backup-simplify]: Simplify 1/2 into 1/2
12.929 * [taylor]: Taking taylor expansion of k in n
12.929 * [backup-simplify]: Simplify k into k
12.929 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
12.929 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
12.929 * [taylor]: Taking taylor expansion of 2 in n
12.929 * [backup-simplify]: Simplify 2 into 2
12.929 * [taylor]: Taking taylor expansion of (* n PI) in n
12.929 * [taylor]: Taking taylor expansion of n in n
12.929 * [backup-simplify]: Simplify 0 into 0
12.929 * [backup-simplify]: Simplify 1 into 1
12.929 * [taylor]: Taking taylor expansion of PI in n
12.929 * [backup-simplify]: Simplify PI into PI
12.930 * [backup-simplify]: Simplify (* 0 PI) into 0
12.930 * [backup-simplify]: Simplify (* 2 0) into 0
12.932 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
12.933 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
12.934 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.934 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
12.934 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
12.934 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
12.936 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.937 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
12.938 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
12.938 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
12.938 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
12.938 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
12.938 * [taylor]: Taking taylor expansion of 1/2 in k
12.938 * [backup-simplify]: Simplify 1/2 into 1/2
12.938 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
12.938 * [taylor]: Taking taylor expansion of 1/2 in k
12.938 * [backup-simplify]: Simplify 1/2 into 1/2
12.938 * [taylor]: Taking taylor expansion of k in k
12.938 * [backup-simplify]: Simplify 0 into 0
12.938 * [backup-simplify]: Simplify 1 into 1
12.938 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
12.938 * [taylor]: Taking taylor expansion of (log n) in k
12.938 * [taylor]: Taking taylor expansion of n in k
12.938 * [backup-simplify]: Simplify n into n
12.938 * [backup-simplify]: Simplify (log n) into (log n)
12.939 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
12.939 * [taylor]: Taking taylor expansion of (* 2 PI) in k
12.939 * [taylor]: Taking taylor expansion of 2 in k
12.939 * [backup-simplify]: Simplify 2 into 2
12.939 * [taylor]: Taking taylor expansion of PI in k
12.939 * [backup-simplify]: Simplify PI into PI
12.939 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
12.940 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
12.940 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.941 * [backup-simplify]: Simplify (- 0) into 0
12.941 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
12.942 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.943 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
12.944 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
12.945 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
12.946 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
12.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
12.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
12.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
12.949 * [backup-simplify]: Simplify (- 0) into 0
12.950 * [backup-simplify]: Simplify (+ 0 0) into 0
12.951 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.952 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
12.954 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.954 * [taylor]: Taking taylor expansion of 0 in k
12.954 * [backup-simplify]: Simplify 0 into 0
12.954 * [backup-simplify]: Simplify 0 into 0
12.955 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
12.955 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
12.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
12.957 * [backup-simplify]: Simplify (+ 0 0) into 0
12.958 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.958 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.958 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
12.961 * [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)))))))
12.963 * [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)))))))
12.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
12.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
12.966 * [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
12.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
12.967 * [backup-simplify]: Simplify (- 0) into 0
12.967 * [backup-simplify]: Simplify (+ 0 0) into 0
12.968 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
12.969 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
12.970 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.971 * [taylor]: Taking taylor expansion of 0 in k
12.971 * [backup-simplify]: Simplify 0 into 0
12.971 * [backup-simplify]: Simplify 0 into 0
12.971 * [backup-simplify]: Simplify 0 into 0
12.972 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
12.972 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
12.978 * [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
12.978 * [backup-simplify]: Simplify (+ 0 0) into 0
12.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
12.979 * [backup-simplify]: Simplify (- 0) into 0
12.979 * [backup-simplify]: Simplify (+ 0 0) into 0
12.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
12.983 * [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)))))
12.986 * [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)))))
12.995 * [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)))))
12.995 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
12.995 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
12.995 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
12.995 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
12.995 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
12.996 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
12.996 * [taylor]: Taking taylor expansion of 1/2 in k
12.996 * [backup-simplify]: Simplify 1/2 into 1/2
12.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
12.996 * [taylor]: Taking taylor expansion of 1/2 in k
12.996 * [backup-simplify]: Simplify 1/2 into 1/2
12.996 * [taylor]: Taking taylor expansion of (/ 1 k) in k
12.996 * [taylor]: Taking taylor expansion of k in k
12.996 * [backup-simplify]: Simplify 0 into 0
12.996 * [backup-simplify]: Simplify 1 into 1
12.996 * [backup-simplify]: Simplify (/ 1 1) into 1
12.996 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
12.996 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
12.996 * [taylor]: Taking taylor expansion of 2 in k
12.996 * [backup-simplify]: Simplify 2 into 2
12.996 * [taylor]: Taking taylor expansion of (/ PI n) in k
12.996 * [taylor]: Taking taylor expansion of PI in k
12.996 * [backup-simplify]: Simplify PI into PI
12.996 * [taylor]: Taking taylor expansion of n in k
12.996 * [backup-simplify]: Simplify n into n
12.996 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
12.996 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
12.996 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
12.997 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
12.997 * [backup-simplify]: Simplify (- 1/2) into -1/2
12.998 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
12.998 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
12.998 * [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))))
12.998 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
12.998 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
12.998 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
12.998 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
12.998 * [taylor]: Taking taylor expansion of 1/2 in n
12.998 * [backup-simplify]: Simplify 1/2 into 1/2
12.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
12.998 * [taylor]: Taking taylor expansion of 1/2 in n
12.998 * [backup-simplify]: Simplify 1/2 into 1/2
12.998 * [taylor]: Taking taylor expansion of (/ 1 k) in n
12.998 * [taylor]: Taking taylor expansion of k in n
12.998 * [backup-simplify]: Simplify k into k
12.998 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
12.998 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
12.998 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
12.998 * [taylor]: Taking taylor expansion of 2 in n
12.998 * [backup-simplify]: Simplify 2 into 2
12.998 * [taylor]: Taking taylor expansion of (/ PI n) in n
12.998 * [taylor]: Taking taylor expansion of PI in n
12.998 * [backup-simplify]: Simplify PI into PI
12.998 * [taylor]: Taking taylor expansion of n in n
12.998 * [backup-simplify]: Simplify 0 into 0
12.998 * [backup-simplify]: Simplify 1 into 1
12.999 * [backup-simplify]: Simplify (/ PI 1) into PI
12.999 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.000 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.000 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.000 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
13.000 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
13.002 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.003 * [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)))
13.004 * [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))))
13.004 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
13.004 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.004 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.004 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
13.004 * [taylor]: Taking taylor expansion of 1/2 in n
13.004 * [backup-simplify]: Simplify 1/2 into 1/2
13.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.004 * [taylor]: Taking taylor expansion of 1/2 in n
13.004 * [backup-simplify]: Simplify 1/2 into 1/2
13.004 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.004 * [taylor]: Taking taylor expansion of k in n
13.004 * [backup-simplify]: Simplify k into k
13.004 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.004 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.004 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.004 * [taylor]: Taking taylor expansion of 2 in n
13.004 * [backup-simplify]: Simplify 2 into 2
13.004 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.004 * [taylor]: Taking taylor expansion of PI in n
13.004 * [backup-simplify]: Simplify PI into PI
13.004 * [taylor]: Taking taylor expansion of n in n
13.004 * [backup-simplify]: Simplify 0 into 0
13.004 * [backup-simplify]: Simplify 1 into 1
13.005 * [backup-simplify]: Simplify (/ PI 1) into PI
13.005 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.006 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.006 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.006 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
13.006 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
13.008 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.009 * [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)))
13.010 * [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))))
13.010 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
13.010 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
13.010 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
13.010 * [taylor]: Taking taylor expansion of 1/2 in k
13.010 * [backup-simplify]: Simplify 1/2 into 1/2
13.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.010 * [taylor]: Taking taylor expansion of 1/2 in k
13.010 * [backup-simplify]: Simplify 1/2 into 1/2
13.010 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.010 * [taylor]: Taking taylor expansion of k in k
13.010 * [backup-simplify]: Simplify 0 into 0
13.010 * [backup-simplify]: Simplify 1 into 1
13.010 * [backup-simplify]: Simplify (/ 1 1) into 1
13.010 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
13.010 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
13.010 * [taylor]: Taking taylor expansion of (* 2 PI) in k
13.010 * [taylor]: Taking taylor expansion of 2 in k
13.010 * [backup-simplify]: Simplify 2 into 2
13.010 * [taylor]: Taking taylor expansion of PI in k
13.011 * [backup-simplify]: Simplify PI into PI
13.011 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.012 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.012 * [taylor]: Taking taylor expansion of (log n) in k
13.012 * [taylor]: Taking taylor expansion of n in k
13.012 * [backup-simplify]: Simplify n into n
13.012 * [backup-simplify]: Simplify (log n) into (log n)
13.012 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.013 * [backup-simplify]: Simplify (- 1/2) into -1/2
13.013 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
13.013 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
13.014 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
13.015 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
13.016 * [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))))
13.017 * [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))))
13.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.019 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
13.021 * [backup-simplify]: Simplify (- 0) into 0
13.022 * [backup-simplify]: Simplify (+ 0 0) into 0
13.023 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.024 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
13.026 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.026 * [taylor]: Taking taylor expansion of 0 in k
13.026 * [backup-simplify]: Simplify 0 into 0
13.026 * [backup-simplify]: Simplify 0 into 0
13.026 * [backup-simplify]: Simplify 0 into 0
13.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.028 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
13.031 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
13.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
13.033 * [backup-simplify]: Simplify (- 0) into 0
13.033 * [backup-simplify]: Simplify (+ 0 0) into 0
13.034 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.036 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
13.039 * [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
13.039 * [taylor]: Taking taylor expansion of 0 in k
13.039 * [backup-simplify]: Simplify 0 into 0
13.039 * [backup-simplify]: Simplify 0 into 0
13.039 * [backup-simplify]: Simplify 0 into 0
13.039 * [backup-simplify]: Simplify 0 into 0
13.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.041 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.046 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
13.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
13.048 * [backup-simplify]: Simplify (- 0) into 0
13.048 * [backup-simplify]: Simplify (+ 0 0) into 0
13.050 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.052 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
13.054 * [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
13.054 * [taylor]: Taking taylor expansion of 0 in k
13.054 * [backup-simplify]: Simplify 0 into 0
13.054 * [backup-simplify]: Simplify 0 into 0
13.056 * [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)))))
13.056 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
13.056 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
13.056 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
13.056 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
13.056 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
13.056 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
13.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.056 * [taylor]: Taking taylor expansion of 1/2 in k
13.056 * [backup-simplify]: Simplify 1/2 into 1/2
13.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.056 * [taylor]: Taking taylor expansion of k in k
13.056 * [backup-simplify]: Simplify 0 into 0
13.057 * [backup-simplify]: Simplify 1 into 1
13.057 * [backup-simplify]: Simplify (/ 1 1) into 1
13.057 * [taylor]: Taking taylor expansion of 1/2 in k
13.057 * [backup-simplify]: Simplify 1/2 into 1/2
13.057 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
13.057 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
13.057 * [taylor]: Taking taylor expansion of -2 in k
13.057 * [backup-simplify]: Simplify -2 into -2
13.057 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.057 * [taylor]: Taking taylor expansion of PI in k
13.057 * [backup-simplify]: Simplify PI into PI
13.057 * [taylor]: Taking taylor expansion of n in k
13.057 * [backup-simplify]: Simplify n into n
13.057 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.057 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
13.057 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
13.058 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.058 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.058 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
13.058 * [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)))
13.058 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
13.059 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
13.059 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
13.059 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
13.059 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.059 * [taylor]: Taking taylor expansion of 1/2 in n
13.059 * [backup-simplify]: Simplify 1/2 into 1/2
13.059 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.059 * [taylor]: Taking taylor expansion of k in n
13.059 * [backup-simplify]: Simplify k into k
13.059 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.059 * [taylor]: Taking taylor expansion of 1/2 in n
13.059 * [backup-simplify]: Simplify 1/2 into 1/2
13.059 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.059 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.059 * [taylor]: Taking taylor expansion of -2 in n
13.059 * [backup-simplify]: Simplify -2 into -2
13.059 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.059 * [taylor]: Taking taylor expansion of PI in n
13.059 * [backup-simplify]: Simplify PI into PI
13.059 * [taylor]: Taking taylor expansion of n in n
13.059 * [backup-simplify]: Simplify 0 into 0
13.059 * [backup-simplify]: Simplify 1 into 1
13.059 * [backup-simplify]: Simplify (/ PI 1) into PI
13.060 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.061 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.061 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.061 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
13.062 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.063 * [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)))
13.064 * [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))))
13.064 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
13.064 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
13.064 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
13.064 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
13.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.064 * [taylor]: Taking taylor expansion of 1/2 in n
13.064 * [backup-simplify]: Simplify 1/2 into 1/2
13.064 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.064 * [taylor]: Taking taylor expansion of k in n
13.064 * [backup-simplify]: Simplify k into k
13.065 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.065 * [taylor]: Taking taylor expansion of 1/2 in n
13.065 * [backup-simplify]: Simplify 1/2 into 1/2
13.065 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.065 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.065 * [taylor]: Taking taylor expansion of -2 in n
13.065 * [backup-simplify]: Simplify -2 into -2
13.065 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.065 * [taylor]: Taking taylor expansion of PI in n
13.065 * [backup-simplify]: Simplify PI into PI
13.065 * [taylor]: Taking taylor expansion of n in n
13.065 * [backup-simplify]: Simplify 0 into 0
13.065 * [backup-simplify]: Simplify 1 into 1
13.065 * [backup-simplify]: Simplify (/ PI 1) into PI
13.065 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.066 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.066 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.066 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
13.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.068 * [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)))
13.068 * [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))))
13.068 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
13.068 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
13.068 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
13.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.068 * [taylor]: Taking taylor expansion of 1/2 in k
13.068 * [backup-simplify]: Simplify 1/2 into 1/2
13.068 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.068 * [taylor]: Taking taylor expansion of k in k
13.068 * [backup-simplify]: Simplify 0 into 0
13.068 * [backup-simplify]: Simplify 1 into 1
13.069 * [backup-simplify]: Simplify (/ 1 1) into 1
13.069 * [taylor]: Taking taylor expansion of 1/2 in k
13.069 * [backup-simplify]: Simplify 1/2 into 1/2
13.069 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
13.069 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
13.069 * [taylor]: Taking taylor expansion of (* -2 PI) in k
13.069 * [taylor]: Taking taylor expansion of -2 in k
13.069 * [backup-simplify]: Simplify -2 into -2
13.069 * [taylor]: Taking taylor expansion of PI in k
13.069 * [backup-simplify]: Simplify PI into PI
13.069 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.070 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.070 * [taylor]: Taking taylor expansion of (log n) in k
13.070 * [taylor]: Taking taylor expansion of n in k
13.070 * [backup-simplify]: Simplify n into n
13.070 * [backup-simplify]: Simplify (log n) into (log n)
13.070 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.070 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.070 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
13.071 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
13.072 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
13.072 * [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))))
13.073 * [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))))
13.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.074 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
13.075 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
13.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
13.076 * [backup-simplify]: Simplify (+ 0 0) into 0
13.076 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.077 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
13.078 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.078 * [taylor]: Taking taylor expansion of 0 in k
13.078 * [backup-simplify]: Simplify 0 into 0
13.078 * [backup-simplify]: Simplify 0 into 0
13.078 * [backup-simplify]: Simplify 0 into 0
13.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.080 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
13.082 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
13.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
13.083 * [backup-simplify]: Simplify (+ 0 0) into 0
13.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.084 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
13.086 * [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
13.086 * [taylor]: Taking taylor expansion of 0 in k
13.086 * [backup-simplify]: Simplify 0 into 0
13.086 * [backup-simplify]: Simplify 0 into 0
13.086 * [backup-simplify]: Simplify 0 into 0
13.086 * [backup-simplify]: Simplify 0 into 0
13.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.087 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.092 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
13.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
13.093 * [backup-simplify]: Simplify (+ 0 0) into 0
13.095 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.096 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
13.099 * [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
13.099 * [taylor]: Taking taylor expansion of 0 in k
13.099 * [backup-simplify]: Simplify 0 into 0
13.099 * [backup-simplify]: Simplify 0 into 0
13.100 * [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)))))
13.100 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
13.100 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
13.100 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
13.100 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.101 * [taylor]: Taking taylor expansion of 2 in n
13.101 * [backup-simplify]: Simplify 2 into 2
13.101 * [taylor]: Taking taylor expansion of (* n PI) in n
13.101 * [taylor]: Taking taylor expansion of n in n
13.101 * [backup-simplify]: Simplify 0 into 0
13.101 * [backup-simplify]: Simplify 1 into 1
13.101 * [taylor]: Taking taylor expansion of PI in n
13.101 * [backup-simplify]: Simplify PI into PI
13.101 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.101 * [taylor]: Taking taylor expansion of 2 in n
13.101 * [backup-simplify]: Simplify 2 into 2
13.101 * [taylor]: Taking taylor expansion of (* n PI) in n
13.101 * [taylor]: Taking taylor expansion of n in n
13.101 * [backup-simplify]: Simplify 0 into 0
13.101 * [backup-simplify]: Simplify 1 into 1
13.101 * [taylor]: Taking taylor expansion of PI in n
13.101 * [backup-simplify]: Simplify PI into PI
13.101 * [backup-simplify]: Simplify (* 0 PI) into 0
13.102 * [backup-simplify]: Simplify (* 2 0) into 0
13.102 * [backup-simplify]: Simplify 0 into 0
13.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.105 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.105 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.107 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
13.107 * [backup-simplify]: Simplify 0 into 0
13.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
13.109 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
13.109 * [backup-simplify]: Simplify 0 into 0
13.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
13.110 * [backup-simplify]: Simplify 0 into 0
13.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.112 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
13.112 * [backup-simplify]: Simplify 0 into 0
13.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.114 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
13.114 * [backup-simplify]: Simplify 0 into 0
13.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
13.116 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
13.116 * [backup-simplify]: Simplify 0 into 0
13.116 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
13.117 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
13.117 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
13.117 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.117 * [taylor]: Taking taylor expansion of 2 in n
13.117 * [backup-simplify]: Simplify 2 into 2
13.117 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.117 * [taylor]: Taking taylor expansion of PI in n
13.117 * [backup-simplify]: Simplify PI into PI
13.117 * [taylor]: Taking taylor expansion of n in n
13.117 * [backup-simplify]: Simplify 0 into 0
13.117 * [backup-simplify]: Simplify 1 into 1
13.117 * [backup-simplify]: Simplify (/ PI 1) into PI
13.117 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.117 * [taylor]: Taking taylor expansion of 2 in n
13.117 * [backup-simplify]: Simplify 2 into 2
13.117 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.117 * [taylor]: Taking taylor expansion of PI in n
13.117 * [backup-simplify]: Simplify PI into PI
13.117 * [taylor]: Taking taylor expansion of n in n
13.117 * [backup-simplify]: Simplify 0 into 0
13.117 * [backup-simplify]: Simplify 1 into 1
13.118 * [backup-simplify]: Simplify (/ PI 1) into PI
13.118 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.118 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.119 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.119 * [backup-simplify]: Simplify 0 into 0
13.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.120 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
13.120 * [backup-simplify]: Simplify 0 into 0
13.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.122 * [backup-simplify]: Simplify 0 into 0
13.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.123 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.123 * [backup-simplify]: Simplify 0 into 0
13.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.125 * [backup-simplify]: Simplify 0 into 0
13.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.126 * [backup-simplify]: Simplify 0 into 0
13.126 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
13.127 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
13.127 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
13.127 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.127 * [taylor]: Taking taylor expansion of -2 in n
13.127 * [backup-simplify]: Simplify -2 into -2
13.127 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.127 * [taylor]: Taking taylor expansion of PI in n
13.127 * [backup-simplify]: Simplify PI into PI
13.127 * [taylor]: Taking taylor expansion of n in n
13.127 * [backup-simplify]: Simplify 0 into 0
13.127 * [backup-simplify]: Simplify 1 into 1
13.127 * [backup-simplify]: Simplify (/ PI 1) into PI
13.127 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.127 * [taylor]: Taking taylor expansion of -2 in n
13.127 * [backup-simplify]: Simplify -2 into -2
13.127 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.127 * [taylor]: Taking taylor expansion of PI in n
13.127 * [backup-simplify]: Simplify PI into PI
13.127 * [taylor]: Taking taylor expansion of n in n
13.127 * [backup-simplify]: Simplify 0 into 0
13.127 * [backup-simplify]: Simplify 1 into 1
13.128 * [backup-simplify]: Simplify (/ PI 1) into PI
13.128 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.128 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.129 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
13.129 * [backup-simplify]: Simplify 0 into 0
13.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.131 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
13.131 * [backup-simplify]: Simplify 0 into 0
13.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.132 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.132 * [backup-simplify]: Simplify 0 into 0
13.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.134 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.134 * [backup-simplify]: Simplify 0 into 0
13.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.135 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.135 * [backup-simplify]: Simplify 0 into 0
13.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.137 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.137 * [backup-simplify]: Simplify 0 into 0
13.137 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
13.138 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
13.138 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k))
13.138 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
13.139 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
13.139 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
13.139 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
13.139 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
13.139 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
13.139 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
13.139 * [taylor]: Taking taylor expansion of 1/2 in n
13.139 * [backup-simplify]: Simplify 1/2 into 1/2
13.139 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
13.139 * [taylor]: Taking taylor expansion of 1/2 in n
13.139 * [backup-simplify]: Simplify 1/2 into 1/2
13.139 * [taylor]: Taking taylor expansion of k in n
13.139 * [backup-simplify]: Simplify k into k
13.139 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.139 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.139 * [taylor]: Taking taylor expansion of 2 in n
13.139 * [backup-simplify]: Simplify 2 into 2
13.139 * [taylor]: Taking taylor expansion of (* n PI) in n
13.139 * [taylor]: Taking taylor expansion of n in n
13.139 * [backup-simplify]: Simplify 0 into 0
13.139 * [backup-simplify]: Simplify 1 into 1
13.139 * [taylor]: Taking taylor expansion of PI in n
13.139 * [backup-simplify]: Simplify PI into PI
13.140 * [backup-simplify]: Simplify (* 0 PI) into 0
13.140 * [backup-simplify]: Simplify (* 2 0) into 0
13.141 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.143 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.144 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.144 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
13.144 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
13.144 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
13.146 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.147 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
13.148 * [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)))))
13.149 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
13.149 * [taylor]: Taking taylor expansion of (sqrt k) in n
13.149 * [taylor]: Taking taylor expansion of k in n
13.149 * [backup-simplify]: Simplify k into k
13.149 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
13.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
13.149 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
13.149 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
13.149 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
13.149 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
13.149 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
13.149 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
13.149 * [taylor]: Taking taylor expansion of 1/2 in k
13.149 * [backup-simplify]: Simplify 1/2 into 1/2
13.150 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
13.150 * [taylor]: Taking taylor expansion of 1/2 in k
13.150 * [backup-simplify]: Simplify 1/2 into 1/2
13.150 * [taylor]: Taking taylor expansion of k in k
13.150 * [backup-simplify]: Simplify 0 into 0
13.150 * [backup-simplify]: Simplify 1 into 1
13.150 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
13.150 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
13.150 * [taylor]: Taking taylor expansion of 2 in k
13.150 * [backup-simplify]: Simplify 2 into 2
13.150 * [taylor]: Taking taylor expansion of (* n PI) in k
13.150 * [taylor]: Taking taylor expansion of n in k
13.150 * [backup-simplify]: Simplify n into n
13.150 * [taylor]: Taking taylor expansion of PI in k
13.150 * [backup-simplify]: Simplify PI into PI
13.150 * [backup-simplify]: Simplify (* n PI) into (* n PI)
13.150 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
13.150 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
13.151 * [backup-simplify]: Simplify (* 1/2 0) into 0
13.151 * [backup-simplify]: Simplify (- 0) into 0
13.151 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.151 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
13.152 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
13.152 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
13.152 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.152 * [taylor]: Taking taylor expansion of k in k
13.152 * [backup-simplify]: Simplify 0 into 0
13.152 * [backup-simplify]: Simplify 1 into 1
13.153 * [backup-simplify]: Simplify (sqrt 0) into 0
13.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.154 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
13.154 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
13.154 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
13.154 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
13.154 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
13.154 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
13.154 * [taylor]: Taking taylor expansion of 1/2 in k
13.154 * [backup-simplify]: Simplify 1/2 into 1/2
13.155 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
13.155 * [taylor]: Taking taylor expansion of 1/2 in k
13.155 * [backup-simplify]: Simplify 1/2 into 1/2
13.155 * [taylor]: Taking taylor expansion of k in k
13.155 * [backup-simplify]: Simplify 0 into 0
13.155 * [backup-simplify]: Simplify 1 into 1
13.155 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
13.155 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
13.155 * [taylor]: Taking taylor expansion of 2 in k
13.155 * [backup-simplify]: Simplify 2 into 2
13.155 * [taylor]: Taking taylor expansion of (* n PI) in k
13.155 * [taylor]: Taking taylor expansion of n in k
13.155 * [backup-simplify]: Simplify n into n
13.155 * [taylor]: Taking taylor expansion of PI in k
13.155 * [backup-simplify]: Simplify PI into PI
13.155 * [backup-simplify]: Simplify (* n PI) into (* n PI)
13.155 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
13.155 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
13.156 * [backup-simplify]: Simplify (* 1/2 0) into 0
13.156 * [backup-simplify]: Simplify (- 0) into 0
13.156 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.157 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
13.157 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
13.157 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
13.157 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.157 * [taylor]: Taking taylor expansion of k in k
13.157 * [backup-simplify]: Simplify 0 into 0
13.157 * [backup-simplify]: Simplify 1 into 1
13.157 * [backup-simplify]: Simplify (sqrt 0) into 0
13.158 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.159 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
13.159 * [taylor]: Taking taylor expansion of 0 in n
13.159 * [backup-simplify]: Simplify 0 into 0
13.159 * [backup-simplify]: Simplify 0 into 0
13.159 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
13.160 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
13.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
13.161 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
13.161 * [backup-simplify]: Simplify (- 1/2) into -1/2
13.161 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
13.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
13.162 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
13.162 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))
13.163 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))
13.163 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
13.163 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
13.163 * [taylor]: Taking taylor expansion of +nan.0 in n
13.163 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.163 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
13.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
13.163 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
13.163 * [taylor]: Taking taylor expansion of (* n PI) in n
13.163 * [taylor]: Taking taylor expansion of n in n
13.163 * [backup-simplify]: Simplify 0 into 0
13.163 * [backup-simplify]: Simplify 1 into 1
13.163 * [taylor]: Taking taylor expansion of PI in n
13.163 * [backup-simplify]: Simplify PI into PI
13.164 * [backup-simplify]: Simplify (* 0 PI) into 0
13.165 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.165 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
13.165 * [backup-simplify]: Simplify (sqrt 0) into 0
13.167 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
13.167 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
13.167 * [taylor]: Taking taylor expansion of 1/2 in n
13.167 * [backup-simplify]: Simplify 1/2 into 1/2
13.167 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.169 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
13.169 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
13.172 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
13.174 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
13.176 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
13.176 * [backup-simplify]: Simplify 0 into 0
13.178 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.178 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
13.179 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
13.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
13.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
13.181 * [backup-simplify]: Simplify (- 0) into 0
13.181 * [backup-simplify]: Simplify (+ 0 0) into 0
13.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
13.182 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
13.184 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))
13.189 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))))
13.189 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n
13.189 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n
13.189 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
13.189 * [taylor]: Taking taylor expansion of +nan.0 in n
13.189 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.189 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
13.189 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
13.189 * [taylor]: Taking taylor expansion of (sqrt 2) in n
13.189 * [taylor]: Taking taylor expansion of 2 in n
13.189 * [backup-simplify]: Simplify 2 into 2
13.190 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
13.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
13.191 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
13.191 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.191 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.191 * [taylor]: Taking taylor expansion of 2 in n
13.191 * [backup-simplify]: Simplify 2 into 2
13.191 * [taylor]: Taking taylor expansion of (* n PI) in n
13.191 * [taylor]: Taking taylor expansion of n in n
13.191 * [backup-simplify]: Simplify 0 into 0
13.191 * [backup-simplify]: Simplify 1 into 1
13.191 * [taylor]: Taking taylor expansion of PI in n
13.191 * [backup-simplify]: Simplify PI into PI
13.191 * [backup-simplify]: Simplify (* 0 PI) into 0
13.192 * [backup-simplify]: Simplify (* 2 0) into 0
13.193 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.196 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.196 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.197 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
13.197 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
13.197 * [taylor]: Taking taylor expansion of 1/2 in n
13.197 * [backup-simplify]: Simplify 1/2 into 1/2
13.197 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.197 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
13.197 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
13.197 * [taylor]: Taking taylor expansion of (* n PI) in n
13.197 * [taylor]: Taking taylor expansion of n in n
13.197 * [backup-simplify]: Simplify 0 into 0
13.197 * [backup-simplify]: Simplify 1 into 1
13.197 * [taylor]: Taking taylor expansion of PI in n
13.197 * [backup-simplify]: Simplify PI into PI
13.198 * [backup-simplify]: Simplify (* 0 PI) into 0
13.199 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.199 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
13.199 * [backup-simplify]: Simplify (sqrt 0) into 0
13.200 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
13.200 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
13.200 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
13.200 * [taylor]: Taking taylor expansion of +nan.0 in n
13.200 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.200 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
13.200 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
13.200 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
13.201 * [taylor]: Taking taylor expansion of (* n PI) in n
13.201 * [taylor]: Taking taylor expansion of n in n
13.201 * [backup-simplify]: Simplify 0 into 0
13.201 * [backup-simplify]: Simplify 1 into 1
13.201 * [taylor]: Taking taylor expansion of PI in n
13.201 * [backup-simplify]: Simplify PI into PI
13.201 * [backup-simplify]: Simplify (* 0 PI) into 0
13.202 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.202 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
13.203 * [backup-simplify]: Simplify (sqrt 0) into 0
13.204 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
13.204 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
13.204 * [taylor]: Taking taylor expansion of 1/2 in n
13.204 * [backup-simplify]: Simplify 1/2 into 1/2
13.204 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.205 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.206 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
13.207 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
13.209 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))
13.210 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.210 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
13.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.211 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
13.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.213 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
13.215 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
13.217 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
13.218 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
13.229 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
13.232 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
13.233 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
13.238 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
13.242 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
13.258 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
13.270 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
13.280 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
13.281 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
13.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
13.285 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
13.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
13.298 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
13.306 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
13.309 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
13.330 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
13.331 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
13.331 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
13.331 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
13.331 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
13.331 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
13.331 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.331 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.331 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
13.331 * [taylor]: Taking taylor expansion of 1/2 in n
13.331 * [backup-simplify]: Simplify 1/2 into 1/2
13.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.331 * [taylor]: Taking taylor expansion of 1/2 in n
13.331 * [backup-simplify]: Simplify 1/2 into 1/2
13.331 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.331 * [taylor]: Taking taylor expansion of k in n
13.331 * [backup-simplify]: Simplify k into k
13.331 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.331 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.331 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.331 * [taylor]: Taking taylor expansion of 2 in n
13.331 * [backup-simplify]: Simplify 2 into 2
13.331 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.331 * [taylor]: Taking taylor expansion of PI in n
13.331 * [backup-simplify]: Simplify PI into PI
13.331 * [taylor]: Taking taylor expansion of n in n
13.331 * [backup-simplify]: Simplify 0 into 0
13.331 * [backup-simplify]: Simplify 1 into 1
13.332 * [backup-simplify]: Simplify (/ PI 1) into PI
13.332 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.333 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.333 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.333 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
13.333 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
13.334 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.334 * [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)))
13.335 * [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))))
13.336 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
13.336 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
13.336 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.336 * [taylor]: Taking taylor expansion of k in n
13.336 * [backup-simplify]: Simplify k into k
13.336 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.336 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
13.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
13.336 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
13.336 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
13.336 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
13.336 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
13.336 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
13.336 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
13.336 * [taylor]: Taking taylor expansion of 1/2 in k
13.336 * [backup-simplify]: Simplify 1/2 into 1/2
13.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.336 * [taylor]: Taking taylor expansion of 1/2 in k
13.336 * [backup-simplify]: Simplify 1/2 into 1/2
13.336 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.336 * [taylor]: Taking taylor expansion of k in k
13.336 * [backup-simplify]: Simplify 0 into 0
13.336 * [backup-simplify]: Simplify 1 into 1
13.336 * [backup-simplify]: Simplify (/ 1 1) into 1
13.336 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
13.337 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
13.337 * [taylor]: Taking taylor expansion of 2 in k
13.337 * [backup-simplify]: Simplify 2 into 2
13.337 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.337 * [taylor]: Taking taylor expansion of PI in k
13.337 * [backup-simplify]: Simplify PI into PI
13.337 * [taylor]: Taking taylor expansion of n in k
13.337 * [backup-simplify]: Simplify n into n
13.337 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.337 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
13.337 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
13.337 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.337 * [backup-simplify]: Simplify (- 1/2) into -1/2
13.338 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
13.338 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
13.338 * [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))))
13.338 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
13.338 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.338 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.338 * [taylor]: Taking taylor expansion of k in k
13.338 * [backup-simplify]: Simplify 0 into 0
13.338 * [backup-simplify]: Simplify 1 into 1
13.338 * [backup-simplify]: Simplify (/ 1 1) into 1
13.338 * [backup-simplify]: Simplify (sqrt 0) into 0
13.339 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.339 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
13.339 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
13.339 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
13.339 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
13.339 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
13.339 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
13.339 * [taylor]: Taking taylor expansion of 1/2 in k
13.339 * [backup-simplify]: Simplify 1/2 into 1/2
13.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.340 * [taylor]: Taking taylor expansion of 1/2 in k
13.340 * [backup-simplify]: Simplify 1/2 into 1/2
13.340 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.340 * [taylor]: Taking taylor expansion of k in k
13.340 * [backup-simplify]: Simplify 0 into 0
13.340 * [backup-simplify]: Simplify 1 into 1
13.340 * [backup-simplify]: Simplify (/ 1 1) into 1
13.340 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
13.340 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
13.340 * [taylor]: Taking taylor expansion of 2 in k
13.340 * [backup-simplify]: Simplify 2 into 2
13.340 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.340 * [taylor]: Taking taylor expansion of PI in k
13.340 * [backup-simplify]: Simplify PI into PI
13.340 * [taylor]: Taking taylor expansion of n in k
13.340 * [backup-simplify]: Simplify n into n
13.340 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.340 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
13.340 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
13.340 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.341 * [backup-simplify]: Simplify (- 1/2) into -1/2
13.341 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
13.341 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
13.341 * [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))))
13.341 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
13.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.341 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.341 * [taylor]: Taking taylor expansion of k in k
13.341 * [backup-simplify]: Simplify 0 into 0
13.341 * [backup-simplify]: Simplify 1 into 1
13.342 * [backup-simplify]: Simplify (/ 1 1) into 1
13.342 * [backup-simplify]: Simplify (sqrt 0) into 0
13.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.343 * [backup-simplify]: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
13.343 * [taylor]: Taking taylor expansion of 0 in n
13.343 * [backup-simplify]: Simplify 0 into 0
13.343 * [backup-simplify]: Simplify 0 into 0
13.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
13.343 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
13.344 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
13.344 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
13.344 * [taylor]: Taking taylor expansion of +nan.0 in n
13.344 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.344 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
13.344 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
13.344 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.344 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.344 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
13.344 * [taylor]: Taking taylor expansion of 1/2 in n
13.344 * [backup-simplify]: Simplify 1/2 into 1/2
13.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.344 * [taylor]: Taking taylor expansion of 1/2 in n
13.344 * [backup-simplify]: Simplify 1/2 into 1/2
13.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.344 * [taylor]: Taking taylor expansion of k in n
13.344 * [backup-simplify]: Simplify k into k
13.344 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.344 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.344 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.344 * [taylor]: Taking taylor expansion of 2 in n
13.344 * [backup-simplify]: Simplify 2 into 2
13.344 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.344 * [taylor]: Taking taylor expansion of PI in n
13.344 * [backup-simplify]: Simplify PI into PI
13.344 * [taylor]: Taking taylor expansion of n in n
13.344 * [backup-simplify]: Simplify 0 into 0
13.344 * [backup-simplify]: Simplify 1 into 1
13.344 * [backup-simplify]: Simplify (/ PI 1) into PI
13.345 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.345 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.345 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.345 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
13.345 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
13.346 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.347 * [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)))
13.348 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
13.348 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
13.349 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
13.350 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
13.352 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
13.352 * [backup-simplify]: Simplify 0 into 0
13.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.355 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
13.357 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
13.357 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
13.357 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
13.357 * [taylor]: Taking taylor expansion of +nan.0 in n
13.357 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.357 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
13.357 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
13.357 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.357 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.357 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
13.357 * [taylor]: Taking taylor expansion of 1/2 in n
13.357 * [backup-simplify]: Simplify 1/2 into 1/2
13.357 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.357 * [taylor]: Taking taylor expansion of 1/2 in n
13.357 * [backup-simplify]: Simplify 1/2 into 1/2
13.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.357 * [taylor]: Taking taylor expansion of k in n
13.357 * [backup-simplify]: Simplify k into k
13.357 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.357 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.357 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.357 * [taylor]: Taking taylor expansion of 2 in n
13.357 * [backup-simplify]: Simplify 2 into 2
13.357 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.358 * [taylor]: Taking taylor expansion of PI in n
13.358 * [backup-simplify]: Simplify PI into PI
13.358 * [taylor]: Taking taylor expansion of n in n
13.358 * [backup-simplify]: Simplify 0 into 0
13.358 * [backup-simplify]: Simplify 1 into 1
13.358 * [backup-simplify]: Simplify (/ PI 1) into PI
13.359 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.359 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.360 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.360 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
13.360 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
13.361 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.362 * [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)))
13.363 * [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))))
13.364 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
13.366 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
13.367 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
13.368 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
13.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.370 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.371 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
13.372 * [backup-simplify]: Simplify (- 0) into 0
13.373 * [backup-simplify]: Simplify (+ 0 0) into 0
13.374 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.375 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
13.377 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
13.381 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
13.381 * [backup-simplify]: Simplify (- 0) into 0
13.381 * [backup-simplify]: Simplify 0 into 0
13.381 * [backup-simplify]: Simplify 0 into 0
13.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
13.388 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
13.388 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
13.388 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
13.388 * [taylor]: Taking taylor expansion of +nan.0 in n
13.388 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.388 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
13.388 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
13.388 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.388 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.388 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
13.388 * [taylor]: Taking taylor expansion of 1/2 in n
13.388 * [backup-simplify]: Simplify 1/2 into 1/2
13.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.388 * [taylor]: Taking taylor expansion of 1/2 in n
13.388 * [backup-simplify]: Simplify 1/2 into 1/2
13.388 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.388 * [taylor]: Taking taylor expansion of k in n
13.388 * [backup-simplify]: Simplify k into k
13.388 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.388 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.388 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.388 * [taylor]: Taking taylor expansion of 2 in n
13.388 * [backup-simplify]: Simplify 2 into 2
13.388 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.388 * [taylor]: Taking taylor expansion of PI in n
13.388 * [backup-simplify]: Simplify PI into PI
13.389 * [taylor]: Taking taylor expansion of n in n
13.389 * [backup-simplify]: Simplify 0 into 0
13.389 * [backup-simplify]: Simplify 1 into 1
13.389 * [backup-simplify]: Simplify (/ PI 1) into PI
13.389 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.390 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.390 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.390 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
13.390 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
13.391 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.391 * [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)))
13.392 * [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))))
13.393 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
13.394 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
13.394 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
13.395 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
13.397 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
13.398 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
13.398 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
13.398 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
13.398 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
13.398 * [taylor]: Taking taylor expansion of (/ -1 k) in n
13.398 * [taylor]: Taking taylor expansion of -1 in n
13.398 * [backup-simplify]: Simplify -1 into -1
13.398 * [taylor]: Taking taylor expansion of k in n
13.398 * [backup-simplify]: Simplify k into k
13.398 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
13.398 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
13.398 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
13.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
13.398 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
13.398 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
13.398 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
13.398 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
13.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.398 * [taylor]: Taking taylor expansion of 1/2 in n
13.398 * [backup-simplify]: Simplify 1/2 into 1/2
13.398 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.398 * [taylor]: Taking taylor expansion of k in n
13.398 * [backup-simplify]: Simplify k into k
13.398 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.398 * [taylor]: Taking taylor expansion of 1/2 in n
13.398 * [backup-simplify]: Simplify 1/2 into 1/2
13.398 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.398 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.398 * [taylor]: Taking taylor expansion of -2 in n
13.398 * [backup-simplify]: Simplify -2 into -2
13.398 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.398 * [taylor]: Taking taylor expansion of PI in n
13.398 * [backup-simplify]: Simplify PI into PI
13.398 * [taylor]: Taking taylor expansion of n in n
13.398 * [backup-simplify]: Simplify 0 into 0
13.399 * [backup-simplify]: Simplify 1 into 1
13.399 * [backup-simplify]: Simplify (/ PI 1) into PI
13.399 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.400 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.400 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.400 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
13.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.401 * [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)))
13.402 * [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))))
13.403 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
13.403 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
13.403 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
13.403 * [taylor]: Taking taylor expansion of (/ -1 k) in k
13.403 * [taylor]: Taking taylor expansion of -1 in k
13.403 * [backup-simplify]: Simplify -1 into -1
13.403 * [taylor]: Taking taylor expansion of k in k
13.403 * [backup-simplify]: Simplify 0 into 0
13.403 * [backup-simplify]: Simplify 1 into 1
13.403 * [backup-simplify]: Simplify (/ -1 1) into -1
13.403 * [backup-simplify]: Simplify (sqrt 0) into 0
13.404 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
13.404 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
13.404 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
13.404 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
13.404 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
13.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.404 * [taylor]: Taking taylor expansion of 1/2 in k
13.404 * [backup-simplify]: Simplify 1/2 into 1/2
13.404 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.404 * [taylor]: Taking taylor expansion of k in k
13.404 * [backup-simplify]: Simplify 0 into 0
13.404 * [backup-simplify]: Simplify 1 into 1
13.405 * [backup-simplify]: Simplify (/ 1 1) into 1
13.405 * [taylor]: Taking taylor expansion of 1/2 in k
13.405 * [backup-simplify]: Simplify 1/2 into 1/2
13.405 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
13.405 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
13.405 * [taylor]: Taking taylor expansion of -2 in k
13.405 * [backup-simplify]: Simplify -2 into -2
13.405 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.405 * [taylor]: Taking taylor expansion of PI in k
13.405 * [backup-simplify]: Simplify PI into PI
13.405 * [taylor]: Taking taylor expansion of n in k
13.405 * [backup-simplify]: Simplify n into n
13.405 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.405 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
13.405 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
13.405 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.405 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.406 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
13.406 * [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)))
13.406 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
13.406 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
13.406 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
13.406 * [taylor]: Taking taylor expansion of (/ -1 k) in k
13.406 * [taylor]: Taking taylor expansion of -1 in k
13.406 * [backup-simplify]: Simplify -1 into -1
13.406 * [taylor]: Taking taylor expansion of k in k
13.406 * [backup-simplify]: Simplify 0 into 0
13.406 * [backup-simplify]: Simplify 1 into 1
13.406 * [backup-simplify]: Simplify (/ -1 1) into -1
13.406 * [backup-simplify]: Simplify (sqrt 0) into 0
13.407 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
13.407 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
13.407 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
13.407 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
13.407 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
13.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.407 * [taylor]: Taking taylor expansion of 1/2 in k
13.407 * [backup-simplify]: Simplify 1/2 into 1/2
13.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.407 * [taylor]: Taking taylor expansion of k in k
13.407 * [backup-simplify]: Simplify 0 into 0
13.407 * [backup-simplify]: Simplify 1 into 1
13.408 * [backup-simplify]: Simplify (/ 1 1) into 1
13.408 * [taylor]: Taking taylor expansion of 1/2 in k
13.408 * [backup-simplify]: Simplify 1/2 into 1/2
13.408 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
13.408 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
13.408 * [taylor]: Taking taylor expansion of -2 in k
13.408 * [backup-simplify]: Simplify -2 into -2
13.408 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.408 * [taylor]: Taking taylor expansion of PI in k
13.408 * [backup-simplify]: Simplify PI into PI
13.408 * [taylor]: Taking taylor expansion of n in k
13.408 * [backup-simplify]: Simplify n into n
13.408 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.408 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
13.408 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
13.408 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.409 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.409 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
13.409 * [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)))
13.409 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
13.409 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
13.409 * [taylor]: Taking taylor expansion of +nan.0 in n
13.409 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.409 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
13.409 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
13.409 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.409 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.409 * [taylor]: Taking taylor expansion of -2 in n
13.409 * [backup-simplify]: Simplify -2 into -2
13.409 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.409 * [taylor]: Taking taylor expansion of PI in n
13.409 * [backup-simplify]: Simplify PI into PI
13.409 * [taylor]: Taking taylor expansion of n in n
13.409 * [backup-simplify]: Simplify 0 into 0
13.409 * [backup-simplify]: Simplify 1 into 1
13.411 * [backup-simplify]: Simplify (/ PI 1) into PI
13.412 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.412 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.412 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
13.412 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.412 * [taylor]: Taking taylor expansion of 1/2 in n
13.412 * [backup-simplify]: Simplify 1/2 into 1/2
13.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.412 * [taylor]: Taking taylor expansion of k in n
13.412 * [backup-simplify]: Simplify k into k
13.412 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.412 * [taylor]: Taking taylor expansion of 1/2 in n
13.412 * [backup-simplify]: Simplify 1/2 into 1/2
13.413 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.413 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.413 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
13.414 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
13.415 * [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))))
13.416 * [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)))))
13.416 * [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)))))
13.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.420 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.421 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
13.421 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
13.421 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
13.421 * [taylor]: Taking taylor expansion of +nan.0 in n
13.421 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.421 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
13.421 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
13.421 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
13.421 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.421 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.421 * [taylor]: Taking taylor expansion of -2 in n
13.421 * [backup-simplify]: Simplify -2 into -2
13.421 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.421 * [taylor]: Taking taylor expansion of PI in n
13.421 * [backup-simplify]: Simplify PI into PI
13.421 * [taylor]: Taking taylor expansion of n in n
13.422 * [backup-simplify]: Simplify 0 into 0
13.422 * [backup-simplify]: Simplify 1 into 1
13.422 * [backup-simplify]: Simplify (/ PI 1) into PI
13.422 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.423 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.423 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
13.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.424 * [taylor]: Taking taylor expansion of 1/2 in n
13.424 * [backup-simplify]: Simplify 1/2 into 1/2
13.424 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.424 * [taylor]: Taking taylor expansion of k in n
13.424 * [backup-simplify]: Simplify k into k
13.424 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.424 * [taylor]: Taking taylor expansion of 1/2 in n
13.424 * [backup-simplify]: Simplify 1/2 into 1/2
13.425 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.425 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.425 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
13.426 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
13.428 * [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))))
13.429 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
13.430 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
13.431 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
13.432 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
13.434 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
13.435 * [backup-simplify]: Simplify (+ 0 0) into 0
13.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.436 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
13.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
13.439 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
13.441 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.444 * [backup-simplify]: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
13.445 * [backup-simplify]: Simplify 0 into 0
13.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.451 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
13.452 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
13.452 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
13.452 * [taylor]: Taking taylor expansion of +nan.0 in n
13.452 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.452 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
13.452 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
13.452 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
13.452 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.452 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.452 * [taylor]: Taking taylor expansion of -2 in n
13.452 * [backup-simplify]: Simplify -2 into -2
13.452 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.452 * [taylor]: Taking taylor expansion of PI in n
13.452 * [backup-simplify]: Simplify PI into PI
13.452 * [taylor]: Taking taylor expansion of n in n
13.452 * [backup-simplify]: Simplify 0 into 0
13.452 * [backup-simplify]: Simplify 1 into 1
13.453 * [backup-simplify]: Simplify (/ PI 1) into PI
13.453 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.454 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.454 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
13.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.454 * [taylor]: Taking taylor expansion of 1/2 in n
13.454 * [backup-simplify]: Simplify 1/2 into 1/2
13.454 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.454 * [taylor]: Taking taylor expansion of k in n
13.454 * [backup-simplify]: Simplify k into k
13.454 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.454 * [taylor]: Taking taylor expansion of 1/2 in n
13.454 * [backup-simplify]: Simplify 1/2 into 1/2
13.456 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.456 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.456 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
13.457 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
13.458 * [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))))
13.460 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
13.461 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
13.462 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
13.463 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
13.467 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
13.468 * * * * [progress]: [ 4 / 4 ] generating series at (2)
13.468 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
13.468 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0
13.469 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
13.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
13.469 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.469 * [taylor]: Taking taylor expansion of k in n
13.469 * [backup-simplify]: Simplify k into k
13.469 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.469 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
13.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
13.469 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
13.469 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
13.469 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
13.469 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
13.469 * [taylor]: Taking taylor expansion of 1/2 in n
13.469 * [backup-simplify]: Simplify 1/2 into 1/2
13.469 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
13.469 * [taylor]: Taking taylor expansion of 1/2 in n
13.469 * [backup-simplify]: Simplify 1/2 into 1/2
13.469 * [taylor]: Taking taylor expansion of k in n
13.469 * [backup-simplify]: Simplify k into k
13.469 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.469 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.469 * [taylor]: Taking taylor expansion of 2 in n
13.469 * [backup-simplify]: Simplify 2 into 2
13.469 * [taylor]: Taking taylor expansion of (* n PI) in n
13.469 * [taylor]: Taking taylor expansion of n in n
13.469 * [backup-simplify]: Simplify 0 into 0
13.470 * [backup-simplify]: Simplify 1 into 1
13.470 * [taylor]: Taking taylor expansion of PI in n
13.470 * [backup-simplify]: Simplify PI into PI
13.470 * [backup-simplify]: Simplify (* 0 PI) into 0
13.470 * [backup-simplify]: Simplify (* 2 0) into 0
13.472 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.473 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.474 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.475 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
13.475 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
13.475 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
13.476 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.477 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
13.478 * [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)))))
13.478 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
13.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.478 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.478 * [taylor]: Taking taylor expansion of k in k
13.478 * [backup-simplify]: Simplify 0 into 0
13.478 * [backup-simplify]: Simplify 1 into 1
13.479 * [backup-simplify]: Simplify (/ 1 1) into 1
13.479 * [backup-simplify]: Simplify (sqrt 0) into 0
13.481 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.481 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
13.481 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
13.481 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
13.481 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
13.481 * [taylor]: Taking taylor expansion of 1/2 in k
13.481 * [backup-simplify]: Simplify 1/2 into 1/2
13.481 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
13.481 * [taylor]: Taking taylor expansion of 1/2 in k
13.481 * [backup-simplify]: Simplify 1/2 into 1/2
13.481 * [taylor]: Taking taylor expansion of k in k
13.481 * [backup-simplify]: Simplify 0 into 0
13.481 * [backup-simplify]: Simplify 1 into 1
13.481 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
13.481 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
13.481 * [taylor]: Taking taylor expansion of 2 in k
13.481 * [backup-simplify]: Simplify 2 into 2
13.481 * [taylor]: Taking taylor expansion of (* n PI) in k
13.481 * [taylor]: Taking taylor expansion of n in k
13.481 * [backup-simplify]: Simplify n into n
13.481 * [taylor]: Taking taylor expansion of PI in k
13.481 * [backup-simplify]: Simplify PI into PI
13.481 * [backup-simplify]: Simplify (* n PI) into (* n PI)
13.481 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
13.481 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
13.482 * [backup-simplify]: Simplify (* 1/2 0) into 0
13.482 * [backup-simplify]: Simplify (- 0) into 0
13.483 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.483 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
13.483 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
13.483 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
13.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
13.483 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.483 * [taylor]: Taking taylor expansion of k in k
13.483 * [backup-simplify]: Simplify 0 into 0
13.483 * [backup-simplify]: Simplify 1 into 1
13.483 * [backup-simplify]: Simplify (/ 1 1) into 1
13.484 * [backup-simplify]: Simplify (sqrt 0) into 0
13.485 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.485 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
13.485 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
13.485 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
13.485 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
13.485 * [taylor]: Taking taylor expansion of 1/2 in k
13.485 * [backup-simplify]: Simplify 1/2 into 1/2
13.485 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
13.485 * [taylor]: Taking taylor expansion of 1/2 in k
13.486 * [backup-simplify]: Simplify 1/2 into 1/2
13.486 * [taylor]: Taking taylor expansion of k in k
13.486 * [backup-simplify]: Simplify 0 into 0
13.486 * [backup-simplify]: Simplify 1 into 1
13.486 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
13.486 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
13.486 * [taylor]: Taking taylor expansion of 2 in k
13.486 * [backup-simplify]: Simplify 2 into 2
13.486 * [taylor]: Taking taylor expansion of (* n PI) in k
13.486 * [taylor]: Taking taylor expansion of n in k
13.486 * [backup-simplify]: Simplify n into n
13.486 * [taylor]: Taking taylor expansion of PI in k
13.486 * [backup-simplify]: Simplify PI into PI
13.486 * [backup-simplify]: Simplify (* n PI) into (* n PI)
13.486 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
13.486 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
13.486 * [backup-simplify]: Simplify (* 1/2 0) into 0
13.487 * [backup-simplify]: Simplify (- 0) into 0
13.487 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.487 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
13.487 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
13.488 * [backup-simplify]: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0
13.488 * [taylor]: Taking taylor expansion of 0 in n
13.488 * [backup-simplify]: Simplify 0 into 0
13.488 * [backup-simplify]: Simplify 0 into 0
13.488 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
13.489 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
13.490 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
13.490 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
13.491 * [backup-simplify]: Simplify (- 1/2) into -1/2
13.491 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
13.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
13.492 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
13.492 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
13.492 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
13.492 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
13.493 * [taylor]: Taking taylor expansion of +nan.0 in n
13.493 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.493 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
13.493 * [taylor]: Taking taylor expansion of (sqrt 2) in n
13.493 * [taylor]: Taking taylor expansion of 2 in n
13.493 * [backup-simplify]: Simplify 2 into 2
13.493 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
13.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
13.493 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
13.493 * [taylor]: Taking taylor expansion of (* n PI) in n
13.493 * [taylor]: Taking taylor expansion of n in n
13.493 * [backup-simplify]: Simplify 0 into 0
13.493 * [backup-simplify]: Simplify 1 into 1
13.493 * [taylor]: Taking taylor expansion of PI in n
13.493 * [backup-simplify]: Simplify PI into PI
13.494 * [backup-simplify]: Simplify (* 0 PI) into 0
13.495 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.495 * [backup-simplify]: Simplify (sqrt 0) into 0
13.496 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
13.496 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
13.496 * [backup-simplify]: Simplify (* +nan.0 0) into 0
13.496 * [backup-simplify]: Simplify (- 0) into 0
13.496 * [backup-simplify]: Simplify 0 into 0
13.496 * [backup-simplify]: Simplify 0 into 0
13.497 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
13.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
13.498 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
13.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
13.499 * [backup-simplify]: Simplify (- 0) into 0
13.499 * [backup-simplify]: Simplify (+ 0 0) into 0
13.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
13.501 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
13.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.503 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.503 * [backup-simplify]: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
13.503 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
13.503 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
13.503 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
13.503 * [taylor]: Taking taylor expansion of +nan.0 in n
13.503 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.503 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
13.503 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
13.503 * [taylor]: Taking taylor expansion of (sqrt 2) in n
13.503 * [taylor]: Taking taylor expansion of 2 in n
13.503 * [backup-simplify]: Simplify 2 into 2
13.504 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
13.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
13.504 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.504 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.504 * [taylor]: Taking taylor expansion of 2 in n
13.504 * [backup-simplify]: Simplify 2 into 2
13.504 * [taylor]: Taking taylor expansion of (* n PI) in n
13.504 * [taylor]: Taking taylor expansion of n in n
13.504 * [backup-simplify]: Simplify 0 into 0
13.504 * [backup-simplify]: Simplify 1 into 1
13.504 * [taylor]: Taking taylor expansion of PI in n
13.504 * [backup-simplify]: Simplify PI into PI
13.505 * [backup-simplify]: Simplify (* 0 PI) into 0
13.505 * [backup-simplify]: Simplify (* 2 0) into 0
13.506 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.507 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.507 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.507 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
13.507 * [taylor]: Taking taylor expansion of (* n PI) in n
13.507 * [taylor]: Taking taylor expansion of n in n
13.507 * [backup-simplify]: Simplify 0 into 0
13.507 * [backup-simplify]: Simplify 1 into 1
13.507 * [taylor]: Taking taylor expansion of PI in n
13.507 * [backup-simplify]: Simplify PI into PI
13.508 * [backup-simplify]: Simplify (* 0 PI) into 0
13.508 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.509 * [backup-simplify]: Simplify (sqrt 0) into 0
13.510 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
13.510 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
13.510 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
13.510 * [taylor]: Taking taylor expansion of +nan.0 in n
13.510 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.510 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
13.510 * [taylor]: Taking taylor expansion of (sqrt 2) in n
13.510 * [taylor]: Taking taylor expansion of 2 in n
13.510 * [backup-simplify]: Simplify 2 into 2
13.510 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
13.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
13.510 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
13.510 * [taylor]: Taking taylor expansion of (* n PI) in n
13.510 * [taylor]: Taking taylor expansion of n in n
13.510 * [backup-simplify]: Simplify 0 into 0
13.510 * [backup-simplify]: Simplify 1 into 1
13.510 * [taylor]: Taking taylor expansion of PI in n
13.510 * [backup-simplify]: Simplify PI into PI
13.511 * [backup-simplify]: Simplify (* 0 PI) into 0
13.512 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.512 * [backup-simplify]: Simplify (sqrt 0) into 0
13.513 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
13.513 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.514 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
13.515 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
13.516 * [backup-simplify]: Simplify (* +nan.0 0) into 0
13.516 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
13.516 * [backup-simplify]: Simplify (* +nan.0 0) into 0
13.517 * [backup-simplify]: Simplify (- 0) into 0
13.517 * [backup-simplify]: Simplify (+ 0 0) into 0
13.517 * [backup-simplify]: Simplify (- 0) into 0
13.517 * [backup-simplify]: Simplify 0 into 0
13.519 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
13.522 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
13.526 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
13.528 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
13.528 * [backup-simplify]: Simplify 0 into 0
13.531 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.533 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
13.536 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
13.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
13.538 * [backup-simplify]: Simplify (- 0) into 0
13.538 * [backup-simplify]: Simplify (+ 0 0) into 0
13.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
13.541 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
13.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.547 * [backup-simplify]: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))))
13.547 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n
13.547 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n
13.547 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
13.547 * [taylor]: Taking taylor expansion of +nan.0 in n
13.547 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.547 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
13.547 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
13.547 * [taylor]: Taking taylor expansion of (sqrt 2) in n
13.547 * [taylor]: Taking taylor expansion of 2 in n
13.547 * [backup-simplify]: Simplify 2 into 2
13.548 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
13.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
13.549 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.549 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.549 * [taylor]: Taking taylor expansion of 2 in n
13.549 * [backup-simplify]: Simplify 2 into 2
13.549 * [taylor]: Taking taylor expansion of (* n PI) in n
13.549 * [taylor]: Taking taylor expansion of n in n
13.549 * [backup-simplify]: Simplify 0 into 0
13.549 * [backup-simplify]: Simplify 1 into 1
13.549 * [taylor]: Taking taylor expansion of PI in n
13.549 * [backup-simplify]: Simplify PI into PI
13.549 * [backup-simplify]: Simplify (* 0 PI) into 0
13.550 * [backup-simplify]: Simplify (* 2 0) into 0
13.551 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.553 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.553 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.553 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
13.554 * [taylor]: Taking taylor expansion of (* n PI) in n
13.554 * [taylor]: Taking taylor expansion of n in n
13.554 * [backup-simplify]: Simplify 0 into 0
13.554 * [backup-simplify]: Simplify 1 into 1
13.554 * [taylor]: Taking taylor expansion of PI in n
13.554 * [backup-simplify]: Simplify PI into PI
13.554 * [backup-simplify]: Simplify (* 0 PI) into 0
13.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.556 * [backup-simplify]: Simplify (sqrt 0) into 0
13.557 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
13.557 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
13.557 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
13.557 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
13.557 * [taylor]: Taking taylor expansion of +nan.0 in n
13.557 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.557 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
13.557 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
13.557 * [taylor]: Taking taylor expansion of (sqrt 2) in n
13.557 * [taylor]: Taking taylor expansion of 2 in n
13.557 * [backup-simplify]: Simplify 2 into 2
13.558 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
13.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
13.558 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
13.558 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.558 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.558 * [taylor]: Taking taylor expansion of 2 in n
13.558 * [backup-simplify]: Simplify 2 into 2
13.558 * [taylor]: Taking taylor expansion of (* n PI) in n
13.558 * [taylor]: Taking taylor expansion of n in n
13.558 * [backup-simplify]: Simplify 0 into 0
13.559 * [backup-simplify]: Simplify 1 into 1
13.559 * [taylor]: Taking taylor expansion of PI in n
13.559 * [backup-simplify]: Simplify PI into PI
13.559 * [backup-simplify]: Simplify (* 0 PI) into 0
13.559 * [backup-simplify]: Simplify (* 2 0) into 0
13.561 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.562 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.563 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.564 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.565 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
13.565 * [taylor]: Taking taylor expansion of (* n PI) in n
13.565 * [taylor]: Taking taylor expansion of n in n
13.565 * [backup-simplify]: Simplify 0 into 0
13.565 * [backup-simplify]: Simplify 1 into 1
13.565 * [taylor]: Taking taylor expansion of PI in n
13.565 * [backup-simplify]: Simplify PI into PI
13.565 * [backup-simplify]: Simplify (* 0 PI) into 0
13.567 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.567 * [backup-simplify]: Simplify (sqrt 0) into 0
13.569 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
13.569 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
13.569 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
13.569 * [taylor]: Taking taylor expansion of +nan.0 in n
13.569 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.569 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
13.569 * [taylor]: Taking taylor expansion of (sqrt 2) in n
13.569 * [taylor]: Taking taylor expansion of 2 in n
13.569 * [backup-simplify]: Simplify 2 into 2
13.569 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
13.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
13.570 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
13.570 * [taylor]: Taking taylor expansion of (* n PI) in n
13.570 * [taylor]: Taking taylor expansion of n in n
13.570 * [backup-simplify]: Simplify 0 into 0
13.570 * [backup-simplify]: Simplify 1 into 1
13.570 * [taylor]: Taking taylor expansion of PI in n
13.570 * [backup-simplify]: Simplify PI into PI
13.570 * [backup-simplify]: Simplify (* 0 PI) into 0
13.572 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.572 * [backup-simplify]: Simplify (sqrt 0) into 0
13.573 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
13.575 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.576 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
13.577 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
13.578 * [backup-simplify]: Simplify (* +nan.0 0) into 0
13.579 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.580 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.582 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
13.583 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
13.585 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
13.586 * [backup-simplify]: Simplify (* +nan.0 0) into 0
13.586 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
13.586 * [backup-simplify]: Simplify (* +nan.0 0) into 0
13.587 * [backup-simplify]: Simplify (- 0) into 0
13.587 * [backup-simplify]: Simplify (+ 0 0) into 0
13.587 * [backup-simplify]: Simplify (- 0) into 0
13.588 * [backup-simplify]: Simplify (+ 0 0) into 0
13.588 * [backup-simplify]: Simplify (- 0) into 0
13.588 * [backup-simplify]: Simplify 0 into 0
13.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.590 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
13.592 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.593 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.594 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
13.596 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
13.602 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
13.605 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
13.610 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
13.613 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
13.621 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
13.626 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
13.630 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
13.631 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.633 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
13.634 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
13.636 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
13.641 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
13.644 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
13.647 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
13.661 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
13.662 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
13.662 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0
13.662 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
13.662 * [taylor]: Taking taylor expansion of (sqrt k) in n
13.662 * [taylor]: Taking taylor expansion of k in n
13.662 * [backup-simplify]: Simplify k into k
13.662 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
13.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
13.662 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
13.662 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.662 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.662 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
13.662 * [taylor]: Taking taylor expansion of 1/2 in n
13.662 * [backup-simplify]: Simplify 1/2 into 1/2
13.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.662 * [taylor]: Taking taylor expansion of 1/2 in n
13.662 * [backup-simplify]: Simplify 1/2 into 1/2
13.662 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.662 * [taylor]: Taking taylor expansion of k in n
13.662 * [backup-simplify]: Simplify k into k
13.663 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.663 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.663 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.663 * [taylor]: Taking taylor expansion of 2 in n
13.663 * [backup-simplify]: Simplify 2 into 2
13.663 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.663 * [taylor]: Taking taylor expansion of PI in n
13.663 * [backup-simplify]: Simplify PI into PI
13.663 * [taylor]: Taking taylor expansion of n in n
13.663 * [backup-simplify]: Simplify 0 into 0
13.663 * [backup-simplify]: Simplify 1 into 1
13.663 * [backup-simplify]: Simplify (/ PI 1) into PI
13.664 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.665 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.665 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.665 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
13.665 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
13.666 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.666 * [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)))
13.667 * [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))))
13.667 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
13.667 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.667 * [taylor]: Taking taylor expansion of k in k
13.667 * [backup-simplify]: Simplify 0 into 0
13.667 * [backup-simplify]: Simplify 1 into 1
13.667 * [backup-simplify]: Simplify (sqrt 0) into 0
13.668 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.668 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
13.668 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
13.668 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
13.668 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
13.668 * [taylor]: Taking taylor expansion of 1/2 in k
13.668 * [backup-simplify]: Simplify 1/2 into 1/2
13.668 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.668 * [taylor]: Taking taylor expansion of 1/2 in k
13.668 * [backup-simplify]: Simplify 1/2 into 1/2
13.668 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.668 * [taylor]: Taking taylor expansion of k in k
13.668 * [backup-simplify]: Simplify 0 into 0
13.668 * [backup-simplify]: Simplify 1 into 1
13.669 * [backup-simplify]: Simplify (/ 1 1) into 1
13.669 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
13.669 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
13.669 * [taylor]: Taking taylor expansion of 2 in k
13.669 * [backup-simplify]: Simplify 2 into 2
13.669 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.669 * [taylor]: Taking taylor expansion of PI in k
13.669 * [backup-simplify]: Simplify PI into PI
13.669 * [taylor]: Taking taylor expansion of n in k
13.669 * [backup-simplify]: Simplify n into n
13.669 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.669 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
13.669 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
13.669 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.670 * [backup-simplify]: Simplify (- 1/2) into -1/2
13.670 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
13.670 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
13.670 * [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))))
13.670 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
13.670 * [taylor]: Taking taylor expansion of (sqrt k) in k
13.670 * [taylor]: Taking taylor expansion of k in k
13.670 * [backup-simplify]: Simplify 0 into 0
13.670 * [backup-simplify]: Simplify 1 into 1
13.670 * [backup-simplify]: Simplify (sqrt 0) into 0
13.671 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.671 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
13.671 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
13.671 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
13.671 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
13.671 * [taylor]: Taking taylor expansion of 1/2 in k
13.671 * [backup-simplify]: Simplify 1/2 into 1/2
13.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.671 * [taylor]: Taking taylor expansion of 1/2 in k
13.671 * [backup-simplify]: Simplify 1/2 into 1/2
13.671 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.671 * [taylor]: Taking taylor expansion of k in k
13.671 * [backup-simplify]: Simplify 0 into 0
13.672 * [backup-simplify]: Simplify 1 into 1
13.672 * [backup-simplify]: Simplify (/ 1 1) into 1
13.672 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
13.672 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
13.672 * [taylor]: Taking taylor expansion of 2 in k
13.672 * [backup-simplify]: Simplify 2 into 2
13.672 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.672 * [taylor]: Taking taylor expansion of PI in k
13.672 * [backup-simplify]: Simplify PI into PI
13.672 * [taylor]: Taking taylor expansion of n in k
13.672 * [backup-simplify]: Simplify n into n
13.672 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.672 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
13.672 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
13.672 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.673 * [backup-simplify]: Simplify (- 1/2) into -1/2
13.673 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
13.673 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
13.673 * [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))))
13.673 * [backup-simplify]: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
13.673 * [taylor]: Taking taylor expansion of 0 in n
13.673 * [backup-simplify]: Simplify 0 into 0
13.673 * [backup-simplify]: Simplify 0 into 0
13.674 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
13.674 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
13.674 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
13.674 * [taylor]: Taking taylor expansion of +nan.0 in n
13.674 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.674 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
13.674 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.674 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.674 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
13.674 * [taylor]: Taking taylor expansion of 1/2 in n
13.674 * [backup-simplify]: Simplify 1/2 into 1/2
13.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.674 * [taylor]: Taking taylor expansion of 1/2 in n
13.674 * [backup-simplify]: Simplify 1/2 into 1/2
13.674 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.674 * [taylor]: Taking taylor expansion of k in n
13.674 * [backup-simplify]: Simplify k into k
13.674 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.674 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.674 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.674 * [taylor]: Taking taylor expansion of 2 in n
13.674 * [backup-simplify]: Simplify 2 into 2
13.674 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.674 * [taylor]: Taking taylor expansion of PI in n
13.674 * [backup-simplify]: Simplify PI into PI
13.674 * [taylor]: Taking taylor expansion of n in n
13.674 * [backup-simplify]: Simplify 0 into 0
13.674 * [backup-simplify]: Simplify 1 into 1
13.674 * [backup-simplify]: Simplify (/ PI 1) into PI
13.675 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.676 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.676 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.676 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
13.676 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
13.677 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.678 * [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)))
13.678 * [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))))
13.679 * [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)))))
13.680 * [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))))))
13.680 * [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))))))
13.680 * [backup-simplify]: Simplify 0 into 0
13.682 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
13.683 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
13.683 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
13.683 * [taylor]: Taking taylor expansion of +nan.0 in n
13.683 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.683 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
13.683 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.683 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.683 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
13.683 * [taylor]: Taking taylor expansion of 1/2 in n
13.683 * [backup-simplify]: Simplify 1/2 into 1/2
13.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.683 * [taylor]: Taking taylor expansion of 1/2 in n
13.683 * [backup-simplify]: Simplify 1/2 into 1/2
13.683 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.683 * [taylor]: Taking taylor expansion of k in n
13.683 * [backup-simplify]: Simplify k into k
13.683 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.683 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.683 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.683 * [taylor]: Taking taylor expansion of 2 in n
13.683 * [backup-simplify]: Simplify 2 into 2
13.683 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.683 * [taylor]: Taking taylor expansion of PI in n
13.683 * [backup-simplify]: Simplify PI into PI
13.683 * [taylor]: Taking taylor expansion of n in n
13.683 * [backup-simplify]: Simplify 0 into 0
13.683 * [backup-simplify]: Simplify 1 into 1
13.684 * [backup-simplify]: Simplify (/ PI 1) into PI
13.684 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.684 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.684 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.685 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
13.685 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
13.685 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.686 * [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)))
13.687 * [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))))
13.688 * [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)))))
13.688 * [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))))))
13.689 * [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))))))
13.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.690 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
13.692 * [backup-simplify]: Simplify (- 0) into 0
13.692 * [backup-simplify]: Simplify (+ 0 0) into 0
13.693 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.694 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
13.696 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.698 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
13.698 * [backup-simplify]: Simplify (- 0) into 0
13.698 * [backup-simplify]: Simplify 0 into 0
13.698 * [backup-simplify]: Simplify 0 into 0
13.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
13.703 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
13.704 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
13.704 * [taylor]: Taking taylor expansion of +nan.0 in n
13.704 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.704 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
13.704 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.704 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.704 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
13.704 * [taylor]: Taking taylor expansion of 1/2 in n
13.704 * [backup-simplify]: Simplify 1/2 into 1/2
13.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.704 * [taylor]: Taking taylor expansion of 1/2 in n
13.704 * [backup-simplify]: Simplify 1/2 into 1/2
13.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.704 * [taylor]: Taking taylor expansion of k in n
13.704 * [backup-simplify]: Simplify k into k
13.704 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.704 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.704 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.704 * [taylor]: Taking taylor expansion of 2 in n
13.704 * [backup-simplify]: Simplify 2 into 2
13.704 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.704 * [taylor]: Taking taylor expansion of PI in n
13.704 * [backup-simplify]: Simplify PI into PI
13.704 * [taylor]: Taking taylor expansion of n in n
13.704 * [backup-simplify]: Simplify 0 into 0
13.704 * [backup-simplify]: Simplify 1 into 1
13.705 * [backup-simplify]: Simplify (/ PI 1) into PI
13.705 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.706 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.706 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.706 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
13.707 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
13.708 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.709 * [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)))
13.710 * [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))))
13.711 * [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)))))
13.713 * [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))))))
13.714 * [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))))))
13.718 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) 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))))))))
13.719 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
13.719 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
13.719 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
13.719 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
13.719 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
13.719 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
13.719 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
13.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.719 * [taylor]: Taking taylor expansion of 1/2 in n
13.719 * [backup-simplify]: Simplify 1/2 into 1/2
13.719 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.719 * [taylor]: Taking taylor expansion of k in n
13.719 * [backup-simplify]: Simplify k into k
13.719 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.719 * [taylor]: Taking taylor expansion of 1/2 in n
13.719 * [backup-simplify]: Simplify 1/2 into 1/2
13.719 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.719 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.719 * [taylor]: Taking taylor expansion of -2 in n
13.719 * [backup-simplify]: Simplify -2 into -2
13.719 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.719 * [taylor]: Taking taylor expansion of PI in n
13.719 * [backup-simplify]: Simplify PI into PI
13.719 * [taylor]: Taking taylor expansion of n in n
13.719 * [backup-simplify]: Simplify 0 into 0
13.719 * [backup-simplify]: Simplify 1 into 1
13.720 * [backup-simplify]: Simplify (/ PI 1) into PI
13.720 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.721 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.722 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.722 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
13.723 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.725 * [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)))
13.727 * [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))))
13.727 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
13.727 * [taylor]: Taking taylor expansion of (/ -1 k) in n
13.727 * [taylor]: Taking taylor expansion of -1 in n
13.727 * [backup-simplify]: Simplify -1 into -1
13.727 * [taylor]: Taking taylor expansion of k in n
13.727 * [backup-simplify]: Simplify k into k
13.727 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
13.727 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
13.727 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
13.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
13.729 * [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)))
13.729 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
13.729 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
13.729 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
13.729 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
13.729 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
13.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.729 * [taylor]: Taking taylor expansion of 1/2 in k
13.729 * [backup-simplify]: Simplify 1/2 into 1/2
13.729 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.729 * [taylor]: Taking taylor expansion of k in k
13.729 * [backup-simplify]: Simplify 0 into 0
13.729 * [backup-simplify]: Simplify 1 into 1
13.729 * [backup-simplify]: Simplify (/ 1 1) into 1
13.729 * [taylor]: Taking taylor expansion of 1/2 in k
13.729 * [backup-simplify]: Simplify 1/2 into 1/2
13.729 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
13.730 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
13.730 * [taylor]: Taking taylor expansion of -2 in k
13.730 * [backup-simplify]: Simplify -2 into -2
13.730 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.730 * [taylor]: Taking taylor expansion of PI in k
13.730 * [backup-simplify]: Simplify PI into PI
13.730 * [taylor]: Taking taylor expansion of n in k
13.730 * [backup-simplify]: Simplify n into n
13.730 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.730 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
13.730 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
13.730 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.731 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.731 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
13.731 * [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)))
13.731 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
13.731 * [taylor]: Taking taylor expansion of (/ -1 k) in k
13.731 * [taylor]: Taking taylor expansion of -1 in k
13.731 * [backup-simplify]: Simplify -1 into -1
13.731 * [taylor]: Taking taylor expansion of k in k
13.731 * [backup-simplify]: Simplify 0 into 0
13.731 * [backup-simplify]: Simplify 1 into 1
13.732 * [backup-simplify]: Simplify (/ -1 1) into -1
13.732 * [backup-simplify]: Simplify (sqrt 0) into 0
13.734 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
13.734 * [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))))
13.734 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
13.734 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
13.734 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
13.734 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
13.734 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
13.734 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.734 * [taylor]: Taking taylor expansion of 1/2 in k
13.734 * [backup-simplify]: Simplify 1/2 into 1/2
13.734 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.734 * [taylor]: Taking taylor expansion of k in k
13.734 * [backup-simplify]: Simplify 0 into 0
13.734 * [backup-simplify]: Simplify 1 into 1
13.735 * [backup-simplify]: Simplify (/ 1 1) into 1
13.735 * [taylor]: Taking taylor expansion of 1/2 in k
13.735 * [backup-simplify]: Simplify 1/2 into 1/2
13.735 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
13.735 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
13.735 * [taylor]: Taking taylor expansion of -2 in k
13.735 * [backup-simplify]: Simplify -2 into -2
13.735 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.735 * [taylor]: Taking taylor expansion of PI in k
13.735 * [backup-simplify]: Simplify PI into PI
13.735 * [taylor]: Taking taylor expansion of n in k
13.735 * [backup-simplify]: Simplify n into n
13.735 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.735 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
13.735 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
13.736 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.736 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.736 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
13.736 * [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)))
13.736 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
13.737 * [taylor]: Taking taylor expansion of (/ -1 k) in k
13.737 * [taylor]: Taking taylor expansion of -1 in k
13.737 * [backup-simplify]: Simplify -1 into -1
13.737 * [taylor]: Taking taylor expansion of k in k
13.737 * [backup-simplify]: Simplify 0 into 0
13.737 * [backup-simplify]: Simplify 1 into 1
13.737 * [backup-simplify]: Simplify (/ -1 1) into -1
13.737 * [backup-simplify]: Simplify (sqrt 0) into 0
13.739 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
13.739 * [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))))
13.739 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
13.739 * [taylor]: Taking taylor expansion of +nan.0 in n
13.739 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.739 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
13.739 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
13.739 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.739 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.739 * [taylor]: Taking taylor expansion of -2 in n
13.739 * [backup-simplify]: Simplify -2 into -2
13.739 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.739 * [taylor]: Taking taylor expansion of PI in n
13.739 * [backup-simplify]: Simplify PI into PI
13.740 * [taylor]: Taking taylor expansion of n in n
13.740 * [backup-simplify]: Simplify 0 into 0
13.740 * [backup-simplify]: Simplify 1 into 1
13.740 * [backup-simplify]: Simplify (/ PI 1) into PI
13.740 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.742 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.742 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
13.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.742 * [taylor]: Taking taylor expansion of 1/2 in n
13.742 * [backup-simplify]: Simplify 1/2 into 1/2
13.742 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.742 * [taylor]: Taking taylor expansion of k in n
13.742 * [backup-simplify]: Simplify k into k
13.742 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.742 * [taylor]: Taking taylor expansion of 1/2 in n
13.742 * [backup-simplify]: Simplify 1/2 into 1/2
13.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.743 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.743 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
13.744 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
13.746 * [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))))
13.747 * [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)))))
13.748 * [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)))))
13.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.752 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.753 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
13.753 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
13.753 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
13.753 * [taylor]: Taking taylor expansion of +nan.0 in n
13.753 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.753 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
13.753 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
13.753 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.753 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.753 * [taylor]: Taking taylor expansion of -2 in n
13.753 * [backup-simplify]: Simplify -2 into -2
13.753 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.753 * [taylor]: Taking taylor expansion of PI in n
13.754 * [backup-simplify]: Simplify PI into PI
13.754 * [taylor]: Taking taylor expansion of n in n
13.754 * [backup-simplify]: Simplify 0 into 0
13.754 * [backup-simplify]: Simplify 1 into 1
13.754 * [backup-simplify]: Simplify (/ PI 1) into PI
13.754 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.755 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.756 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
13.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.756 * [taylor]: Taking taylor expansion of 1/2 in n
13.756 * [backup-simplify]: Simplify 1/2 into 1/2
13.756 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.756 * [taylor]: Taking taylor expansion of k in n
13.756 * [backup-simplify]: Simplify k into k
13.756 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.756 * [taylor]: Taking taylor expansion of 1/2 in n
13.756 * [backup-simplify]: Simplify 1/2 into 1/2
13.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.757 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.757 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
13.758 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
13.759 * [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))))
13.759 * [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)))))
13.760 * [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))))))
13.761 * [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))))))
13.762 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
13.762 * [backup-simplify]: Simplify (+ 0 0) into 0
13.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.763 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
13.764 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
13.767 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
13.768 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.769 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
13.769 * [backup-simplify]: Simplify 0 into 0
13.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.773 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
13.773 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
13.774 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
13.774 * [taylor]: Taking taylor expansion of +nan.0 in n
13.774 * [backup-simplify]: Simplify +nan.0 into +nan.0
13.774 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
13.774 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
13.774 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.774 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.774 * [taylor]: Taking taylor expansion of -2 in n
13.774 * [backup-simplify]: Simplify -2 into -2
13.774 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.774 * [taylor]: Taking taylor expansion of PI in n
13.774 * [backup-simplify]: Simplify PI into PI
13.774 * [taylor]: Taking taylor expansion of n in n
13.774 * [backup-simplify]: Simplify 0 into 0
13.774 * [backup-simplify]: Simplify 1 into 1
13.774 * [backup-simplify]: Simplify (/ PI 1) into PI
13.774 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.775 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.775 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
13.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.775 * [taylor]: Taking taylor expansion of 1/2 in n
13.775 * [backup-simplify]: Simplify 1/2 into 1/2
13.775 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.775 * [taylor]: Taking taylor expansion of k in n
13.775 * [backup-simplify]: Simplify k into k
13.775 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.775 * [taylor]: Taking taylor expansion of 1/2 in n
13.775 * [backup-simplify]: Simplify 1/2 into 1/2
13.776 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.776 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.776 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
13.777 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
13.778 * [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))))
13.778 * [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)))))
13.779 * [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))))))
13.780 * [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))))))
13.782 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +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)))))))))))
13.782 * * * [progress]: simplifying candidates
13.782 * * * * [progress]: [ 1 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
13.782 * * * * [progress]: [ 2 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
13.783 * * * * [progress]: [ 3 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
13.783 * * * * [progress]: [ 4 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
13.783 * * * * [progress]: [ 5 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))))))>
13.783 * * * * [progress]: [ 6 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))))))>
13.783 * * * * [progress]: [ 7 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))))))>
13.783 * * * * [progress]: [ 8 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))))))>
13.783 * * * * [progress]: [ 9 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
13.783 * * * * [progress]: [ 10 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
13.783 * * * * [progress]: [ 11 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))))))>
13.783 * * * * [progress]: [ 12 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))))>
13.783 * * * * [progress]: [ 13 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))))))>
13.783 * * * * [progress]: [ 14 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))))))>
13.783 * * * * [progress]: [ 15 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.783 * * * * [progress]: [ 16 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.783 * * * * [progress]: [ 17 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.783 * * * * [progress]: [ 18 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1))))>
13.783 * * * * [progress]: [ 19 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.783 * * * * [progress]: [ 20 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.783 * * * * [progress]: [ 21 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (* (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))))))))>
13.783 * * * * [progress]: [ 22 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (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))))))))>
13.783 * * * * [progress]: [ 23 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.783 * * * * [progress]: [ 24 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.783 * * * * [progress]: [ 25 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.783 * * * * [progress]: [ 26 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
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13.784 * * * * [progress]: [ 31 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2))))))>
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13.784 * * * * [progress]: [ 33 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2))))))>
13.784 * * * * [progress]: [ 34 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2))))))>
13.784 * * * * [progress]: [ 35 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2))))))>
13.784 * * * * [progress]: [ 36 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2))))))>
13.784 * * * * [progress]: [ 37 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2))))))>
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13.784 * * * * [progress]: [ 39 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))))))>
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13.784 * * * * [progress]: [ 44 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2))))))>
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13.784 * * * * [progress]: [ 46 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)))>
13.784 * * * * [progress]: [ 47 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
13.784 * * * * [progress]: [ 48 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
13.784 * * * * [progress]: [ 49 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
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13.784 * * * * [progress]: [ 51 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.785 * * * * [progress]: [ 52 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.785 * * * * [progress]: [ 53 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.785 * * * * [progress]: [ 54 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (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))))))))>
13.785 * * * * [progress]: [ 55 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.785 * * * * [progress]: [ 56 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (/ (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))))))))>
13.785 * * * * [progress]: [ 57 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.785 * * * * [progress]: [ 58 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.785 * * * * [progress]: [ 59 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2)) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.785 * * * * [progress]: [ 60 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2)) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.785 * * * * [progress]: [ 61 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.785 * * * * [progress]: [ 62 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.785 * * * * [progress]: [ 63 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 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))))))))>
13.785 * * * * [progress]: [ 64 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.785 * * * * [progress]: [ 65 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.785 * * * * [progress]: [ 66 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.785 * * * * [progress]: [ 67 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.785 * * * * [progress]: [ 68 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.785 * * * * [progress]: [ 69 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.785 * * * * [progress]: [ 70 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 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))))))))>
13.785 * * * * [progress]: [ 71 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.785 * * * * [progress]: [ 72 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.785 * * * * [progress]: [ 73 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.785 * * * * [progress]: [ 74 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.786 * * * * [progress]: [ 75 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.786 * * * * [progress]: [ 76 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
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13.786 * * * * [progress]: [ 79 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.786 * * * * [progress]: [ 80 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
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13.786 * * * * [progress]: [ 83 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (* (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))))))))>
13.786 * * * * [progress]: [ 84 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
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13.787 * * * * [progress]: [ 89 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.787 * * * * [progress]: [ 90 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.787 * * * * [progress]: [ 91 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 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))))))))>
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13.787 * * * * [progress]: [ 93 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.787 * * * * [progress]: [ 94 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) 1/2)) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
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13.787 * * * * [progress]: [ 97 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (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))))))))>
13.787 * * * * [progress]: [ 98 / 355 ] 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))))))))>
13.787 * * * * [progress]: [ 99 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
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13.787 * * * * [progress]: [ 102 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.787 * * * * [progress]: [ 103 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
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13.787 * * * * [progress]: [ 107 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (* (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)))))))>
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13.787 * * * * [progress]: [ 109 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
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13.787 * * * * [progress]: [ 111 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
13.788 * * * * [progress]: [ 112 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
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13.788 * * * * [progress]: [ 114 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt 1) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
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13.788 * * * * [progress]: [ 118 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
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13.788 * * * * [progress]: [ 134 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
13.788 * * * * [progress]: [ 135 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
13.789 * * * * [progress]: [ 136 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
13.789 * * * * [progress]: [ 137 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
13.789 * * * * [progress]: [ 138 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.789 * * * * [progress]: [ 139 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (log (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.789 * * * * [progress]: [ 140 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.789 * * * * [progress]: [ 141 / 355 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.789 * * * * [progress]: [ 142 / 355 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (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))))))))>
13.789 * * * * [progress]: [ 143 / 355 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (* (* (/ (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))))))))>
13.789 * * * * [progress]: [ 144 / 355 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.789 * * * * [progress]: [ 145 / 355 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.789 * * * * [progress]: [ 146 / 355 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.789 * * * * [progress]: [ 147 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.789 * * * * [progress]: [ 148 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.789 * * * * [progress]: [ 149 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.789 * * * * [progress]: [ 150 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.789 * * * * [progress]: [ 151 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.789 * * * * [progress]: [ 152 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.789 * * * * [progress]: [ 153 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.789 * * * * [progress]: [ 154 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.789 * * * * [progress]: [ 155 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.789 * * * * [progress]: [ 156 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.790 * * * * [progress]: [ 157 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.790 * * * * [progress]: [ 158 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.790 * * * * [progress]: [ 159 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.790 * * * * [progress]: [ 160 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.790 * * * * [progress]: [ 161 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.790 * * * * [progress]: [ 162 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.790 * * * * [progress]: [ 163 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.790 * * * * [progress]: [ 164 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.790 * * * * [progress]: [ 165 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.790 * * * * [progress]: [ 166 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.790 * * * * [progress]: [ 167 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.790 * * * * [progress]: [ 168 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.790 * * * * [progress]: [ 169 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.790 * * * * [progress]: [ 170 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.790 * * * * [progress]: [ 171 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.790 * * * * [progress]: [ 172 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.790 * * * * [progress]: [ 173 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.790 * * * * [progress]: [ 174 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.790 * * * * [progress]: [ 175 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.791 * * * * [progress]: [ 176 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.791 * * * * [progress]: [ 177 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.791 * * * * [progress]: [ 178 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.791 * * * * [progress]: [ 179 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.791 * * * * [progress]: [ 180 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.791 * * * * [progress]: [ 181 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.791 * * * * [progress]: [ 182 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.791 * * * * [progress]: [ 183 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.791 * * * * [progress]: [ 184 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.791 * * * * [progress]: [ 185 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.791 * * * * [progress]: [ 186 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.791 * * * * [progress]: [ 187 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.791 * * * * [progress]: [ 188 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.791 * * * * [progress]: [ 189 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.791 * * * * [progress]: [ 190 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.791 * * * * [progress]: [ 191 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.792 * * * * [progress]: [ 192 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.792 * * * * [progress]: [ 193 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.792 * * * * [progress]: [ 194 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2)))))>
13.792 * * * * [progress]: [ 195 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.792 * * * * [progress]: [ 196 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.792 * * * * [progress]: [ 197 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.792 * * * * [progress]: [ 198 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.792 * * * * [progress]: [ 199 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.792 * * * * [progress]: [ 200 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.792 * * * * [progress]: [ 201 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.792 * * * * [progress]: [ 202 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.792 * * * * [progress]: [ 203 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.792 * * * * [progress]: [ 204 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.792 * * * * [progress]: [ 205 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.792 * * * * [progress]: [ 206 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.793 * * * * [progress]: [ 207 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.793 * * * * [progress]: [ 208 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.793 * * * * [progress]: [ 209 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.793 * * * * [progress]: [ 210 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.793 * * * * [progress]: [ 211 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.793 * * * * [progress]: [ 212 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.793 * * * * [progress]: [ 213 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.793 * * * * [progress]: [ 214 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.793 * * * * [progress]: [ 215 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.793 * * * * [progress]: [ 216 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.793 * * * * [progress]: [ 217 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
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13.793 * * * * [progress]: [ 219 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
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13.793 * * * * [progress]: [ 221 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.793 * * * * [progress]: [ 222 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.793 * * * * [progress]: [ 223 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
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13.793 * * * * [progress]: [ 228 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.794 * * * * [progress]: [ 229 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.794 * * * * [progress]: [ 230 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
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13.794 * * * * [progress]: [ 232 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
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13.794 * * * * [progress]: [ 236 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.794 * * * * [progress]: [ 237 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
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13.794 * * * * [progress]: [ 239 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.794 * * * * [progress]: [ 240 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.794 * * * * [progress]: [ 241 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2)))))>
13.794 * * * * [progress]: [ 242 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.794 * * * * [progress]: [ 243 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.794 * * * * [progress]: [ 244 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.794 * * * * [progress]: [ 245 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.794 * * * * [progress]: [ 246 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.794 * * * * [progress]: [ 247 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.794 * * * * [progress]: [ 248 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.794 * * * * [progress]: [ 249 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.794 * * * * [progress]: [ 250 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.794 * * * * [progress]: [ 251 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.795 * * * * [progress]: [ 252 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.795 * * * * [progress]: [ 253 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.795 * * * * [progress]: [ 254 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.795 * * * * [progress]: [ 255 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.795 * * * * [progress]: [ 256 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.795 * * * * [progress]: [ 257 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.795 * * * * [progress]: [ 258 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
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13.795 * * * * [progress]: [ 261 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.795 * * * * [progress]: [ 262 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.795 * * * * [progress]: [ 263 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.795 * * * * [progress]: [ 264 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.795 * * * * [progress]: [ 265 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.795 * * * * [progress]: [ 266 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.795 * * * * [progress]: [ 267 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.795 * * * * [progress]: [ 268 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.795 * * * * [progress]: [ 269 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.795 * * * * [progress]: [ 270 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.795 * * * * [progress]: [ 271 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
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13.796 * * * * [progress]: [ 275 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.796 * * * * [progress]: [ 276 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.796 * * * * [progress]: [ 277 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.796 * * * * [progress]: [ 278 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.796 * * * * [progress]: [ 279 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.796 * * * * [progress]: [ 280 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
13.796 * * * * [progress]: [ 281 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
13.796 * * * * [progress]: [ 282 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.796 * * * * [progress]: [ 283 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.796 * * * * [progress]: [ 284 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.796 * * * * [progress]: [ 285 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
13.796 * * * * [progress]: [ 286 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.796 * * * * [progress]: [ 287 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.796 * * * * [progress]: [ 288 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))) (/ 1 (pow (* n (* 2 PI)) (/ k 2)))))>
13.796 * * * * [progress]: [ 289 / 355 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.796 * * * * [progress]: [ 290 / 355 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.796 * * * * [progress]: [ 291 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)))>
13.796 * * * * [progress]: [ 292 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.796 * * * * [progress]: [ 293 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.796 * * * * [progress]: [ 294 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
13.796 * * * * [progress]: [ 295 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
13.796 * * * * [progress]: [ 296 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
13.796 * * * * [progress]: [ 297 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.797 * * * * [progress]: [ 298 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 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)))))))>
13.797 * * * * [progress]: [ 299 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
13.797 * * * * [progress]: [ 300 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
13.797 * * * * [progress]: [ 301 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
13.797 * * * * [progress]: [ 302 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
13.797 * * * * [progress]: [ 303 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
13.797 * * * * [progress]: [ 304 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.797 * * * * [progress]: [ 305 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 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)))))))>
13.797 * * * * [progress]: [ 306 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
13.797 * * * * [progress]: [ 307 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
13.797 * * * * [progress]: [ 308 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
13.797 * * * * [progress]: [ 309 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
13.797 * * * * [progress]: [ 310 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
13.797 * * * * [progress]: [ 311 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.797 * * * * [progress]: [ 312 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 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)))))))>
13.797 * * * * [progress]: [ 313 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
13.797 * * * * [progress]: [ 314 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
13.797 * * * * [progress]: [ 315 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
13.797 * * * * [progress]: [ 316 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
13.797 * * * * [progress]: [ 317 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
13.797 * * * * [progress]: [ 318 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (* (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)))))))>
13.797 * * * * [progress]: [ 319 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.797 * * * * [progress]: [ 320 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
13.798 * * * * [progress]: [ 321 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
13.798 * * * * [progress]: [ 322 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
13.798 * * * * [progress]: [ 323 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
13.798 * * * * [progress]: [ 324 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
13.798 * * * * [progress]: [ 325 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
13.798 * * * * [progress]: [ 326 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 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)))))))>
13.798 * * * * [progress]: [ 327 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
13.798 * * * * [progress]: [ 328 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
13.798 * * * * [progress]: [ 329 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
13.798 * * * * [progress]: [ 330 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
13.798 * * * * [progress]: [ 331 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
13.798 * * * * [progress]: [ 332 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (* (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)))))))>
13.798 * * * * [progress]: [ 333 / 355 ] 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)))))))>
13.798 * * * * [progress]: [ 334 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
13.798 * * * * [progress]: [ 335 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
13.798 * * * * [progress]: [ 336 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
13.798 * * * * [progress]: [ 337 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
13.798 * * * * [progress]: [ 338 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))) (pow (* n (* 2 PI)) (/ k 2))))>
13.798 * * * * [progress]: [ 339 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt 1))))>
13.798 * * * * [progress]: [ 340 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt 1) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))))>
13.798 * * * * [progress]: [ 341 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)))>
13.798 * * * * [progress]: [ 342 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))>
13.798 * * * * [progress]: [ 343 / 355 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
13.798 * * * * [progress]: [ 344 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))))))>
13.799 * * * * [progress]: [ 345 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
13.799 * * * * [progress]: [ 346 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
13.799 * * * * [progress]: [ 347 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
13.799 * * * * [progress]: [ 348 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
13.799 * * * * [progress]: [ 349 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
13.799 * * * * [progress]: [ 350 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
13.799 * * * * [progress]: [ 351 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))))>
13.799 * * * * [progress]: [ 352 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))))>
13.799 * * * * [progress]: [ 353 / 355 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
13.799 * * * * [progress]: [ 354 / 355 ] 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)))))))))>
13.799 * * * * [progress]: [ 355 / 355 ] 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))))))))))))>
13.803 * [simplify]: Simplifying:
  (* (+ (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)) 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))))
  (* 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)))
  (- (log (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) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (exp (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (* (sqrt k) (sqrt k)) (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)))))
  (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (cbrt (/ (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 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))
  (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))
  (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
  (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (* (cbrt k) (cbrt k))) 1)
  (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt 1) (* (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)))))
  (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) 1)
  (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ 1 (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ 1 (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ 1 (* (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)))))
  (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 1)
  (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) 1)
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
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  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ 1 (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 1))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 1)
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt k))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (pow (* n (* 2 PI)) (/ k 2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ 1 (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 1))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) 1/2)))
  (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt 1))
  (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)
  (/ 1 (sqrt k))
  (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 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 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
  (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
  (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
  (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
  (- (+ (* +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)))))))))))
13.811 * * [simplify]: iteration 1: (532 enodes)
14.100 * * [simplify]: iteration 2: (1425 enodes)
14.983 * * [simplify]: Extracting #0: cost 162 inf + 0
14.986 * * [simplify]: Extracting #1: cost 806 inf + 2
14.994 * * [simplify]: Extracting #2: cost 1129 inf + 5964
15.012 * * [simplify]: Extracting #3: cost 1079 inf + 52086
15.052 * * [simplify]: Extracting #4: cost 759 inf + 178242
15.145 * * [simplify]: Extracting #5: cost 332 inf + 353923
15.258 * * [simplify]: Extracting #6: cost 118 inf + 448450
15.353 * * [simplify]: Extracting #7: cost 32 inf + 487613
15.516 * * [simplify]: Extracting #8: cost 0 inf + 505298
15.642 * * [simplify]: Extracting #9: cost 0 inf + 504778
15.745 * * [simplify]: Extracting #10: cost 0 inf + 504618
15.861 * [simplify]: Simplified to:
  (* (log (* (* n PI) 2)) (- 1/2 (/ k 2)))
  (* (log (* (* n PI) 2)) (- 1/2 (/ k 2)))
  (* (log (* (* n PI) 2)) (- 1/2 (/ k 2)))
  (* (log (* (* n PI) 2)) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* n PI) 2))
  (pow (* (* n PI) 2) (/ k 2))
  (pow (* (* n PI) 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* n PI) 2) (sqrt (- 1/2 (/ k 2))))
  (* (* n PI) 2)
  (pow (* (* n PI) 2) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* n PI) 2) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* n PI) 2)
  (sqrt (* (* n PI) 2))
  (pow (* (* n PI) 2) (- (/ k 2)))
  (sqrt (* (* n PI) 2))
  (pow (* (* n PI) 2) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* PI 2) (- 1/2 (/ k 2)))
  (* (log (* (* n PI) 2)) (- 1/2 (/ k 2)))
  (exp (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (* (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (* (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (pow (* (* n PI) 2) (- 1/4 (/ k 4)))
  (pow (* (* n PI) 2) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (* (* n PI) 2)
  (* (* n PI) 2)
  (log (* (* n PI) 2))
  (log (* (* n PI) 2))
  (log (* (* n PI) 2))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* (* n (* n n)) 8) PI) (* PI PI))
  (* 2 (* (* PI n) (* 4 (* (* PI n) (* PI n)))))
  (* (cbrt (* (* n PI) 2)) (cbrt (* (* n PI) 2)))
  (cbrt (* (* n PI) 2))
  (* 2 (* (* PI n) (* 4 (* (* PI n) (* PI n)))))
  (sqrt (* (* n PI) 2))
  (sqrt (* (* n PI) 2))
  (* n 2)
  (* 2 (* PI (cbrt n)))
  (* (sqrt n) (* PI 2))
  (* (* n PI) 2)
  (real->posit16 (* (* n PI) 2))
  (- (log (sqrt k)) (* (log (* (* n PI) 2)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* n PI) 2)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* n PI) 2)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* n PI) 2)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* n PI) 2)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* n PI) 2)) (- 1/2 (/ k 2))))
  (exp (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (* (/ k (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))
  (* (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))
  (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (* (* (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (- (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n PI) 2)))
  (/ (cbrt (sqrt k)) (pow (* (* n PI) 2) (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n PI) 2)))
  (/ (cbrt (sqrt k)) (pow (* (* n PI) 2) (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (/ (cbrt (sqrt k)) (/ (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (* (cbrt (sqrt k)) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (* (/ (cbrt (sqrt k)) (pow (* (* n PI) 2) (- 1/4 (/ k 4)))) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow (* (* n PI) 2) (- 1/4 (/ k 4))))
  (/ (fabs (cbrt k)) (sqrt (* (* n PI) 2)))
  (/ (sqrt (cbrt k)) (pow (* (* n PI) 2) (- (/ k 2))))
  (/ (fabs (cbrt k)) (sqrt (* (* n PI) 2)))
  (/ (sqrt (cbrt k)) (pow (* (* n PI) 2) (- (/ k 2))))
  (/ (fabs (cbrt k)) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ (fabs (cbrt k)) (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (/ (fabs (cbrt k)) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt k)) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (fabs (cbrt k))
  (/ (sqrt (cbrt k)) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (/ (fabs (cbrt k)) (pow (* (* n PI) 2) (- 1/4 (/ k 4))))
  (/ (sqrt (cbrt k)) (pow (* (* n PI) 2) (- 1/4 (/ k 4))))
  (/ (sqrt (sqrt k)) (sqrt (* (* n PI) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (sqrt (* (* n PI) 2)))
  (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (- 1/4 (/ k 4))))
  (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (- 1/4 (/ k 4))))
  (/ 1 (sqrt (* (* n PI) 2)))
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  (/ 1 (sqrt (* (* n PI) 2)))
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  (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (pow (* (* n PI) 2) (- 1/4 (/ k 4))))
  (/ (pow (* (* n PI) 2) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
  (/ (sqrt (* (* n PI) 2)) (fabs (cbrt k)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* n PI) 2) (- (/ k 2))))
  (/ (sqrt (* (* n PI) 2)) (fabs (cbrt k)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* n PI) 2) (- (/ k 2))))
  (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (* (pow (* PI 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (cbrt k))))
  (* (* (/ 1 (fabs (cbrt k))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (cbrt k))))
  (* (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ 1 (fabs (cbrt k))))
  (/ (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (* (/ 1 (fabs (cbrt k))) (pow (* (* n PI) 2) (- 1/4 (/ k 4))))
  (* (pow (* (* n PI) 2) (- 1/4 (/ k 4))) (/ 1 (sqrt (cbrt k))))
  (/ (* 1 (sqrt (* (* n PI) 2))) (sqrt (sqrt k)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (- (/ k 2)))))
  (/ (* 1 (sqrt (* (* n PI) 2))) (sqrt (sqrt k)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI 2) (- 1/2 (/ k 2))))
  (* (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt k))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))
  (* (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))
  (* (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (/ (* 1 (pow (* (* n PI) 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (/ (* 1 (pow (* (* n PI) 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (sqrt (* (* n PI) 2))
  (/ (* 1 (pow (* (* n PI) 2) (- (/ k 2)))) (sqrt k))
  (sqrt (* (* n PI) 2))
  (/ (* 1 (pow (* (* n PI) 2) (- (/ k 2)))) (sqrt k))
  (pow n (- 1/2 (/ k 2)))
  (* (/ 1 (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))
  1
  (* (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (pow (* (* n PI) 2) (- 1/4 (/ k 4)))
  (* (pow (* (* n PI) 2) (- 1/4 (/ k 4))) (/ 1 (sqrt k)))
  (/ (* 1 (sqrt (* (* n PI) 2))) (sqrt (sqrt k)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (- (/ k 2)))))
  (/ (* 1 (sqrt (* (* n PI) 2))) (sqrt (sqrt k)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI 2) (- 1/2 (/ k 2))))
  (* (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt k))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))
  (* (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))
  (* (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (/ (* 1 (pow (* (* n PI) 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (/ (* 1 (pow (* (* n PI) 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (sqrt (* (* n PI) 2))
  (/ (* 1 (pow (* (* n PI) 2) (- (/ k 2)))) (sqrt k))
  (sqrt (* (* n PI) 2))
  (/ (* 1 (pow (* (* n PI) 2) (- (/ k 2)))) (sqrt k))
  (pow n (- 1/2 (/ k 2)))
  (* (/ 1 (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))
  1
  (* (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (pow (* (* n PI) 2) (- 1/4 (/ k 4)))
  (* (pow (* (* n PI) 2) (- 1/4 (/ k 4))) (/ 1 (sqrt k)))
  1
  (* (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (/ 1 (sqrt k))
  (pow (* (* n PI) 2) (- 1/2 (/ k 2)))
  (* (/ 1 (sqrt k)) (sqrt (* (* n PI) 2)))
  (/ 1 (pow (* (* n PI) 2) (/ k 2)))
  (* (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))
  (/ (* 1 (sqrt (* (* n PI) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* 1 (sqrt (* (* n PI) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))
  (* (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (pow (* (* n PI) 2) (- 1/4 (/ k 4))))
  (/ (sqrt (* (* n PI) 2)) (fabs (cbrt k)))
  (/ (sqrt (* (* n PI) 2)) (fabs (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (* (* (/ 1 (fabs (cbrt k))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ 1 (fabs (cbrt k))))
  (/ 1 (fabs (cbrt k)))
  (* (/ 1 (fabs (cbrt k))) (pow (* (* n PI) 2) (- 1/4 (/ k 4))))
  (/ (* 1 (sqrt (* (* n PI) 2))) (sqrt (sqrt k)))
  (/ (* 1 (sqrt (* (* n PI) 2))) (sqrt (sqrt k)))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (* (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt k))))
  (* (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))
  (/ 1 (sqrt (sqrt k)))
  (/ (* 1 (pow (* (* n PI) 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (sqrt (* (* n PI) 2))
  (sqrt (* (* n PI) 2))
  (pow n (- 1/2 (/ k 2)))
  (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  1
  (pow (* (* n PI) 2) (- 1/4 (/ k 4)))
  (/ (* 1 (sqrt (* (* n PI) 2))) (sqrt (sqrt k)))
  (/ (* 1 (sqrt (* (* n PI) 2))) (sqrt (sqrt k)))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (* (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt k))))
  (* (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))
  (/ 1 (sqrt (sqrt k)))
  (/ (* 1 (pow (* (* n PI) 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (sqrt (* (* n PI) 2))
  (sqrt (* (* n PI) 2))
  (pow n (- 1/2 (/ k 2)))
  (* (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  1
  (pow (* (* n PI) 2) (- 1/4 (/ k 4)))
  1
  (/ 1 (sqrt k))
  (* (/ 1 (sqrt k)) (sqrt (* (* n PI) 2)))
  (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))
  (/ 1 (sqrt k))
  (real->posit16 (* (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))
  (+ (+ (* (* 1/8 (* (sqrt (* (* n PI) 2)) (* k k))) (* (log (* PI 2)) (log (* PI 2)))) (+ (sqrt (* (* n PI) 2)) (* (* (* (log n) (log n)) (sqrt (* (* n PI) 2))) (* (* k k) 1/8)))) (+ (* (* (log (* PI 2)) (sqrt (* (* n PI) 2))) (* (* (* k k) (log n)) 1/4)) (* -1/2 (* k (+ (* (sqrt (* (* n PI) 2)) (log n)) (* (log (* PI 2)) (sqrt (* (* n PI) 2))))))))
  (exp (* (- 1/2 (* k 1/2)) (log (* (* n PI) 2))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))
  (* (* n PI) 2)
  (* (* n PI) 2)
  (* (* n PI) 2)
  (+ (/ (- (* +nan.0 (* (* (* (log (* PI 2)) 1/2) (* k k)) (sqrt 2)))) PI) (+ (- (* +nan.0 (/ (* (sqrt 1/2) (* k k)) PI)) (* (/ (* (* n k) (sqrt 1/2)) (* PI PI)) +nan.0)) (* +nan.0 (- (/ (* (log n) (* (* (sqrt 2) (* k k)) 1/2)) PI) (* (/ (sqrt 1/2) PI) k)))))
  (- (+ (- (/ +nan.0 (* (exp (* (- 1/2 (* k 1/2)) (log (* (* n PI) 2)))) k)) (/ +nan.0 (* (* k k) (exp (* (- 1/2 (* k 1/2)) (log (* (* n PI) 2))))))) (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (log (* (* n PI) 2)))))))
  (- (- (/ (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))) (* k k)) (- (/ (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))) k) (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))))))
  (+ (* (* (sqrt 2) +nan.0) (- (* (* n PI) k))) (- (* (* PI n) (* (sqrt 2) +nan.0)) (- (* (* (sqrt 2) (* (* n PI) k)) (* +nan.0 (log (* PI 2)))) (* (* (sqrt 2) +nan.0) (- (* (* (* (log n) k) PI) n) (* (* n PI) (* n PI)))))))
  (- (- (* (/ +nan.0 k) (/ (/ (exp (* (- 1/2 (* k 1/2)) (log (* (* n PI) 2)))) k) k)) (* +nan.0 (- (/ (exp (* (- 1/2 (* k 1/2)) (log (* (* n PI) 2)))) k) (/ (/ (exp (* (- 1/2 (* k 1/2)) (log (* (* n PI) 2)))) k) k)))))
  (+ (* (- +nan.0) (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) k)) (* +nan.0 (- (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))))))
15.904 * * * [progress]: adding candidates to table
20.049 * * [progress]: iteration 3 / 4
20.049 * * * [progress]: picking best candidate
20.080 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
20.080 * * * [progress]: localizing error
20.110 * * * [progress]: generating rewritten candidates
20.110 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
20.132 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1)
20.144 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
20.198 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
20.231 * * * [progress]: generating series expansions
20.231 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
20.232 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
20.232 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
20.232 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
20.232 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
20.232 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
20.232 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.232 * [taylor]: Taking taylor expansion of 1/2 in k
20.232 * [backup-simplify]: Simplify 1/2 into 1/2
20.232 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.232 * [taylor]: Taking taylor expansion of 1/2 in k
20.232 * [backup-simplify]: Simplify 1/2 into 1/2
20.232 * [taylor]: Taking taylor expansion of k in k
20.232 * [backup-simplify]: Simplify 0 into 0
20.232 * [backup-simplify]: Simplify 1 into 1
20.232 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
20.232 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
20.232 * [taylor]: Taking taylor expansion of 2 in k
20.232 * [backup-simplify]: Simplify 2 into 2
20.232 * [taylor]: Taking taylor expansion of (* n PI) in k
20.232 * [taylor]: Taking taylor expansion of n in k
20.233 * [backup-simplify]: Simplify n into n
20.233 * [taylor]: Taking taylor expansion of PI in k
20.233 * [backup-simplify]: Simplify PI into PI
20.233 * [backup-simplify]: Simplify (* n PI) into (* n PI)
20.233 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
20.233 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
20.233 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.234 * [backup-simplify]: Simplify (- 0) into 0
20.234 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.234 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
20.234 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
20.234 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
20.234 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
20.235 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
20.235 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
20.235 * [taylor]: Taking taylor expansion of 1/2 in n
20.235 * [backup-simplify]: Simplify 1/2 into 1/2
20.235 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
20.235 * [taylor]: Taking taylor expansion of 1/2 in n
20.235 * [backup-simplify]: Simplify 1/2 into 1/2
20.235 * [taylor]: Taking taylor expansion of k in n
20.235 * [backup-simplify]: Simplify k into k
20.235 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
20.235 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
20.235 * [taylor]: Taking taylor expansion of 2 in n
20.235 * [backup-simplify]: Simplify 2 into 2
20.235 * [taylor]: Taking taylor expansion of (* n PI) in n
20.235 * [taylor]: Taking taylor expansion of n in n
20.235 * [backup-simplify]: Simplify 0 into 0
20.235 * [backup-simplify]: Simplify 1 into 1
20.235 * [taylor]: Taking taylor expansion of PI in n
20.235 * [backup-simplify]: Simplify PI into PI
20.235 * [backup-simplify]: Simplify (* 0 PI) into 0
20.236 * [backup-simplify]: Simplify (* 2 0) into 0
20.237 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.239 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
20.240 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.240 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
20.240 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
20.240 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
20.242 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.243 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
20.244 * [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)))))
20.244 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
20.244 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
20.244 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
20.244 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
20.244 * [taylor]: Taking taylor expansion of 1/2 in n
20.244 * [backup-simplify]: Simplify 1/2 into 1/2
20.244 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
20.244 * [taylor]: Taking taylor expansion of 1/2 in n
20.244 * [backup-simplify]: Simplify 1/2 into 1/2
20.244 * [taylor]: Taking taylor expansion of k in n
20.244 * [backup-simplify]: Simplify k into k
20.244 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
20.244 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
20.244 * [taylor]: Taking taylor expansion of 2 in n
20.244 * [backup-simplify]: Simplify 2 into 2
20.244 * [taylor]: Taking taylor expansion of (* n PI) in n
20.244 * [taylor]: Taking taylor expansion of n in n
20.244 * [backup-simplify]: Simplify 0 into 0
20.244 * [backup-simplify]: Simplify 1 into 1
20.244 * [taylor]: Taking taylor expansion of PI in n
20.244 * [backup-simplify]: Simplify PI into PI
20.245 * [backup-simplify]: Simplify (* 0 PI) into 0
20.245 * [backup-simplify]: Simplify (* 2 0) into 0
20.246 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.247 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
20.247 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.247 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
20.247 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
20.247 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
20.248 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.249 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
20.250 * [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)))))
20.250 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
20.250 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
20.250 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.250 * [taylor]: Taking taylor expansion of 1/2 in k
20.250 * [backup-simplify]: Simplify 1/2 into 1/2
20.250 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.250 * [taylor]: Taking taylor expansion of 1/2 in k
20.250 * [backup-simplify]: Simplify 1/2 into 1/2
20.250 * [taylor]: Taking taylor expansion of k in k
20.250 * [backup-simplify]: Simplify 0 into 0
20.250 * [backup-simplify]: Simplify 1 into 1
20.250 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
20.250 * [taylor]: Taking taylor expansion of (log n) in k
20.250 * [taylor]: Taking taylor expansion of n in k
20.250 * [backup-simplify]: Simplify n into n
20.250 * [backup-simplify]: Simplify (log n) into (log n)
20.250 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
20.250 * [taylor]: Taking taylor expansion of (* 2 PI) in k
20.250 * [taylor]: Taking taylor expansion of 2 in k
20.250 * [backup-simplify]: Simplify 2 into 2
20.250 * [taylor]: Taking taylor expansion of PI in k
20.250 * [backup-simplify]: Simplify PI into PI
20.250 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.251 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.251 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.251 * [backup-simplify]: Simplify (- 0) into 0
20.252 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.252 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.253 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
20.254 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
20.254 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
20.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
20.255 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
20.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
20.257 * [backup-simplify]: Simplify (- 0) into 0
20.257 * [backup-simplify]: Simplify (+ 0 0) into 0
20.258 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.259 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
20.260 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.260 * [taylor]: Taking taylor expansion of 0 in k
20.260 * [backup-simplify]: Simplify 0 into 0
20.260 * [backup-simplify]: Simplify 0 into 0
20.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
20.261 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
20.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.262 * [backup-simplify]: Simplify (+ 0 0) into 0
20.263 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.263 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.263 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
20.266 * [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)))))))
20.268 * [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)))))))
20.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
20.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
20.271 * [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
20.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
20.272 * [backup-simplify]: Simplify (- 0) into 0
20.272 * [backup-simplify]: Simplify (+ 0 0) into 0
20.273 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.274 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
20.276 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.276 * [taylor]: Taking taylor expansion of 0 in k
20.276 * [backup-simplify]: Simplify 0 into 0
20.276 * [backup-simplify]: Simplify 0 into 0
20.276 * [backup-simplify]: Simplify 0 into 0
20.277 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
20.278 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
20.279 * [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
20.280 * [backup-simplify]: Simplify (+ 0 0) into 0
20.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
20.281 * [backup-simplify]: Simplify (- 0) into 0
20.281 * [backup-simplify]: Simplify (+ 0 0) into 0
20.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
20.284 * [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)))))
20.287 * [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)))))
20.293 * [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)))))
20.293 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
20.293 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
20.293 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
20.293 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
20.293 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
20.293 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.293 * [taylor]: Taking taylor expansion of 1/2 in k
20.293 * [backup-simplify]: Simplify 1/2 into 1/2
20.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.293 * [taylor]: Taking taylor expansion of 1/2 in k
20.293 * [backup-simplify]: Simplify 1/2 into 1/2
20.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.293 * [taylor]: Taking taylor expansion of k in k
20.293 * [backup-simplify]: Simplify 0 into 0
20.294 * [backup-simplify]: Simplify 1 into 1
20.294 * [backup-simplify]: Simplify (/ 1 1) into 1
20.294 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
20.294 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
20.294 * [taylor]: Taking taylor expansion of 2 in k
20.294 * [backup-simplify]: Simplify 2 into 2
20.294 * [taylor]: Taking taylor expansion of (/ PI n) in k
20.294 * [taylor]: Taking taylor expansion of PI in k
20.294 * [backup-simplify]: Simplify PI into PI
20.294 * [taylor]: Taking taylor expansion of n in k
20.294 * [backup-simplify]: Simplify n into n
20.294 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
20.294 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
20.294 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
20.294 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.295 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.295 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.295 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
20.295 * [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))))
20.295 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.295 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.295 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.295 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.295 * [taylor]: Taking taylor expansion of 1/2 in n
20.295 * [backup-simplify]: Simplify 1/2 into 1/2
20.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.295 * [taylor]: Taking taylor expansion of 1/2 in n
20.295 * [backup-simplify]: Simplify 1/2 into 1/2
20.295 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.295 * [taylor]: Taking taylor expansion of k in n
20.295 * [backup-simplify]: Simplify k into k
20.295 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.296 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.296 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.296 * [taylor]: Taking taylor expansion of 2 in n
20.296 * [backup-simplify]: Simplify 2 into 2
20.296 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.296 * [taylor]: Taking taylor expansion of PI in n
20.296 * [backup-simplify]: Simplify PI into PI
20.296 * [taylor]: Taking taylor expansion of n in n
20.296 * [backup-simplify]: Simplify 0 into 0
20.296 * [backup-simplify]: Simplify 1 into 1
20.296 * [backup-simplify]: Simplify (/ PI 1) into PI
20.296 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.297 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.297 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.297 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.297 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.298 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.299 * [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)))
20.299 * [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))))
20.299 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.299 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.299 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.299 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.299 * [taylor]: Taking taylor expansion of 1/2 in n
20.299 * [backup-simplify]: Simplify 1/2 into 1/2
20.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.299 * [taylor]: Taking taylor expansion of 1/2 in n
20.299 * [backup-simplify]: Simplify 1/2 into 1/2
20.299 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.299 * [taylor]: Taking taylor expansion of k in n
20.299 * [backup-simplify]: Simplify k into k
20.299 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.299 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.300 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.300 * [taylor]: Taking taylor expansion of 2 in n
20.300 * [backup-simplify]: Simplify 2 into 2
20.300 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.300 * [taylor]: Taking taylor expansion of PI in n
20.300 * [backup-simplify]: Simplify PI into PI
20.300 * [taylor]: Taking taylor expansion of n in n
20.300 * [backup-simplify]: Simplify 0 into 0
20.300 * [backup-simplify]: Simplify 1 into 1
20.300 * [backup-simplify]: Simplify (/ PI 1) into PI
20.300 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.301 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.301 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.301 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.301 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.303 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.304 * [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)))
20.305 * [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))))
20.305 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
20.305 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
20.305 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.305 * [taylor]: Taking taylor expansion of 1/2 in k
20.305 * [backup-simplify]: Simplify 1/2 into 1/2
20.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.305 * [taylor]: Taking taylor expansion of 1/2 in k
20.305 * [backup-simplify]: Simplify 1/2 into 1/2
20.305 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.306 * [taylor]: Taking taylor expansion of k in k
20.306 * [backup-simplify]: Simplify 0 into 0
20.306 * [backup-simplify]: Simplify 1 into 1
20.306 * [backup-simplify]: Simplify (/ 1 1) into 1
20.306 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
20.306 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
20.306 * [taylor]: Taking taylor expansion of (* 2 PI) in k
20.306 * [taylor]: Taking taylor expansion of 2 in k
20.306 * [backup-simplify]: Simplify 2 into 2
20.306 * [taylor]: Taking taylor expansion of PI in k
20.306 * [backup-simplify]: Simplify PI into PI
20.307 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.308 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.308 * [taylor]: Taking taylor expansion of (log n) in k
20.308 * [taylor]: Taking taylor expansion of n in k
20.308 * [backup-simplify]: Simplify n into n
20.308 * [backup-simplify]: Simplify (log n) into (log n)
20.308 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.309 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.309 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.309 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
20.310 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
20.311 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
20.312 * [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))))
20.314 * [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))))
20.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.316 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
20.318 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
20.319 * [backup-simplify]: Simplify (- 0) into 0
20.319 * [backup-simplify]: Simplify (+ 0 0) into 0
20.321 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.322 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
20.324 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.324 * [taylor]: Taking taylor expansion of 0 in k
20.324 * [backup-simplify]: Simplify 0 into 0
20.324 * [backup-simplify]: Simplify 0 into 0
20.324 * [backup-simplify]: Simplify 0 into 0
20.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
20.331 * [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
20.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
20.332 * [backup-simplify]: Simplify (- 0) into 0
20.333 * [backup-simplify]: Simplify (+ 0 0) into 0
20.334 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.334 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
20.336 * [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
20.336 * [taylor]: Taking taylor expansion of 0 in k
20.336 * [backup-simplify]: Simplify 0 into 0
20.336 * [backup-simplify]: Simplify 0 into 0
20.336 * [backup-simplify]: Simplify 0 into 0
20.336 * [backup-simplify]: Simplify 0 into 0
20.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.337 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.340 * [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
20.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
20.341 * [backup-simplify]: Simplify (- 0) into 0
20.342 * [backup-simplify]: Simplify (+ 0 0) into 0
20.343 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.344 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
20.345 * [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
20.345 * [taylor]: Taking taylor expansion of 0 in k
20.345 * [backup-simplify]: Simplify 0 into 0
20.345 * [backup-simplify]: Simplify 0 into 0
20.346 * [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)))))
20.346 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
20.346 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
20.346 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
20.346 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
20.346 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
20.346 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.346 * [taylor]: Taking taylor expansion of 1/2 in k
20.346 * [backup-simplify]: Simplify 1/2 into 1/2
20.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.347 * [taylor]: Taking taylor expansion of k in k
20.347 * [backup-simplify]: Simplify 0 into 0
20.347 * [backup-simplify]: Simplify 1 into 1
20.347 * [backup-simplify]: Simplify (/ 1 1) into 1
20.347 * [taylor]: Taking taylor expansion of 1/2 in k
20.347 * [backup-simplify]: Simplify 1/2 into 1/2
20.347 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
20.347 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
20.347 * [taylor]: Taking taylor expansion of -2 in k
20.347 * [backup-simplify]: Simplify -2 into -2
20.347 * [taylor]: Taking taylor expansion of (/ PI n) in k
20.347 * [taylor]: Taking taylor expansion of PI in k
20.347 * [backup-simplify]: Simplify PI into PI
20.347 * [taylor]: Taking taylor expansion of n in k
20.347 * [backup-simplify]: Simplify n into n
20.347 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
20.347 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
20.347 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
20.347 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.348 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.348 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
20.348 * [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)))
20.348 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.348 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
20.348 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
20.348 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.348 * [taylor]: Taking taylor expansion of 1/2 in n
20.348 * [backup-simplify]: Simplify 1/2 into 1/2
20.348 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.348 * [taylor]: Taking taylor expansion of k in n
20.348 * [backup-simplify]: Simplify k into k
20.348 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.348 * [taylor]: Taking taylor expansion of 1/2 in n
20.348 * [backup-simplify]: Simplify 1/2 into 1/2
20.348 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
20.348 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.348 * [taylor]: Taking taylor expansion of -2 in n
20.348 * [backup-simplify]: Simplify -2 into -2
20.348 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.348 * [taylor]: Taking taylor expansion of PI in n
20.348 * [backup-simplify]: Simplify PI into PI
20.348 * [taylor]: Taking taylor expansion of n in n
20.348 * [backup-simplify]: Simplify 0 into 0
20.348 * [backup-simplify]: Simplify 1 into 1
20.348 * [backup-simplify]: Simplify (/ PI 1) into PI
20.349 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.349 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.350 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.350 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.350 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.351 * [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)))
20.352 * [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))))
20.352 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.352 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
20.352 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
20.352 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.352 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.352 * [taylor]: Taking taylor expansion of 1/2 in n
20.352 * [backup-simplify]: Simplify 1/2 into 1/2
20.352 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.352 * [taylor]: Taking taylor expansion of k in n
20.352 * [backup-simplify]: Simplify k into k
20.352 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.352 * [taylor]: Taking taylor expansion of 1/2 in n
20.352 * [backup-simplify]: Simplify 1/2 into 1/2
20.352 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
20.352 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.352 * [taylor]: Taking taylor expansion of -2 in n
20.352 * [backup-simplify]: Simplify -2 into -2
20.352 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.352 * [taylor]: Taking taylor expansion of PI in n
20.352 * [backup-simplify]: Simplify PI into PI
20.352 * [taylor]: Taking taylor expansion of n in n
20.352 * [backup-simplify]: Simplify 0 into 0
20.352 * [backup-simplify]: Simplify 1 into 1
20.353 * [backup-simplify]: Simplify (/ PI 1) into PI
20.353 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.353 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.353 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.354 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.354 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.355 * [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)))
20.356 * [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))))
20.356 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
20.356 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
20.356 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.356 * [taylor]: Taking taylor expansion of 1/2 in k
20.356 * [backup-simplify]: Simplify 1/2 into 1/2
20.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.356 * [taylor]: Taking taylor expansion of k in k
20.356 * [backup-simplify]: Simplify 0 into 0
20.356 * [backup-simplify]: Simplify 1 into 1
20.356 * [backup-simplify]: Simplify (/ 1 1) into 1
20.356 * [taylor]: Taking taylor expansion of 1/2 in k
20.356 * [backup-simplify]: Simplify 1/2 into 1/2
20.356 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
20.356 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
20.356 * [taylor]: Taking taylor expansion of (* -2 PI) in k
20.356 * [taylor]: Taking taylor expansion of -2 in k
20.356 * [backup-simplify]: Simplify -2 into -2
20.356 * [taylor]: Taking taylor expansion of PI in k
20.356 * [backup-simplify]: Simplify PI into PI
20.357 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.358 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.358 * [taylor]: Taking taylor expansion of (log n) in k
20.358 * [taylor]: Taking taylor expansion of n in k
20.358 * [backup-simplify]: Simplify n into n
20.358 * [backup-simplify]: Simplify (log n) into (log n)
20.358 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.359 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.359 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
20.360 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
20.361 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
20.362 * [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))))
20.363 * [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))))
20.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.365 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
20.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
20.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
20.368 * [backup-simplify]: Simplify (+ 0 0) into 0
20.370 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.371 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
20.373 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.373 * [taylor]: Taking taylor expansion of 0 in k
20.373 * [backup-simplify]: Simplify 0 into 0
20.373 * [backup-simplify]: Simplify 0 into 0
20.373 * [backup-simplify]: Simplify 0 into 0
20.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.375 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
20.379 * [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
20.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
20.380 * [backup-simplify]: Simplify (+ 0 0) into 0
20.382 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.383 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
20.385 * [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
20.385 * [taylor]: Taking taylor expansion of 0 in k
20.385 * [backup-simplify]: Simplify 0 into 0
20.385 * [backup-simplify]: Simplify 0 into 0
20.385 * [backup-simplify]: Simplify 0 into 0
20.385 * [backup-simplify]: Simplify 0 into 0
20.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.387 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.390 * [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
20.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
20.391 * [backup-simplify]: Simplify (+ 0 0) into 0
20.392 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.393 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
20.394 * [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
20.394 * [taylor]: Taking taylor expansion of 0 in k
20.394 * [backup-simplify]: Simplify 0 into 0
20.394 * [backup-simplify]: Simplify 0 into 0
20.395 * [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)))))
20.395 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1)
20.396 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
20.396 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
20.396 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
20.396 * [taylor]: Taking taylor expansion of 2 in n
20.396 * [backup-simplify]: Simplify 2 into 2
20.396 * [taylor]: Taking taylor expansion of (* n PI) in n
20.396 * [taylor]: Taking taylor expansion of n in n
20.396 * [backup-simplify]: Simplify 0 into 0
20.396 * [backup-simplify]: Simplify 1 into 1
20.396 * [taylor]: Taking taylor expansion of PI in n
20.396 * [backup-simplify]: Simplify PI into PI
20.396 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
20.396 * [taylor]: Taking taylor expansion of 2 in n
20.396 * [backup-simplify]: Simplify 2 into 2
20.396 * [taylor]: Taking taylor expansion of (* n PI) in n
20.396 * [taylor]: Taking taylor expansion of n in n
20.396 * [backup-simplify]: Simplify 0 into 0
20.396 * [backup-simplify]: Simplify 1 into 1
20.396 * [taylor]: Taking taylor expansion of PI in n
20.396 * [backup-simplify]: Simplify PI into PI
20.396 * [backup-simplify]: Simplify (* 0 PI) into 0
20.396 * [backup-simplify]: Simplify (* 2 0) into 0
20.396 * [backup-simplify]: Simplify 0 into 0
20.397 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.398 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
20.399 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
20.400 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
20.400 * [backup-simplify]: Simplify 0 into 0
20.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
20.401 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
20.401 * [backup-simplify]: Simplify 0 into 0
20.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
20.402 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
20.403 * [backup-simplify]: Simplify 0 into 0
20.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
20.404 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
20.404 * [backup-simplify]: Simplify 0 into 0
20.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
20.406 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
20.406 * [backup-simplify]: Simplify 0 into 0
20.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
20.408 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
20.408 * [backup-simplify]: Simplify 0 into 0
20.408 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
20.409 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
20.409 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
20.409 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.409 * [taylor]: Taking taylor expansion of 2 in n
20.409 * [backup-simplify]: Simplify 2 into 2
20.409 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.409 * [taylor]: Taking taylor expansion of PI in n
20.409 * [backup-simplify]: Simplify PI into PI
20.409 * [taylor]: Taking taylor expansion of n in n
20.409 * [backup-simplify]: Simplify 0 into 0
20.409 * [backup-simplify]: Simplify 1 into 1
20.409 * [backup-simplify]: Simplify (/ PI 1) into PI
20.409 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.409 * [taylor]: Taking taylor expansion of 2 in n
20.409 * [backup-simplify]: Simplify 2 into 2
20.409 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.409 * [taylor]: Taking taylor expansion of PI in n
20.409 * [backup-simplify]: Simplify PI into PI
20.409 * [taylor]: Taking taylor expansion of n in n
20.409 * [backup-simplify]: Simplify 0 into 0
20.409 * [backup-simplify]: Simplify 1 into 1
20.410 * [backup-simplify]: Simplify (/ PI 1) into PI
20.410 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.410 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.411 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
20.411 * [backup-simplify]: Simplify 0 into 0
20.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.412 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
20.412 * [backup-simplify]: Simplify 0 into 0
20.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.414 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.414 * [backup-simplify]: Simplify 0 into 0
20.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.415 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
20.415 * [backup-simplify]: Simplify 0 into 0
20.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
20.417 * [backup-simplify]: Simplify 0 into 0
20.418 * [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
20.420 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
20.420 * [backup-simplify]: Simplify 0 into 0
20.420 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
20.421 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
20.421 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
20.421 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.421 * [taylor]: Taking taylor expansion of -2 in n
20.421 * [backup-simplify]: Simplify -2 into -2
20.421 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.421 * [taylor]: Taking taylor expansion of PI in n
20.421 * [backup-simplify]: Simplify PI into PI
20.421 * [taylor]: Taking taylor expansion of n in n
20.421 * [backup-simplify]: Simplify 0 into 0
20.422 * [backup-simplify]: Simplify 1 into 1
20.422 * [backup-simplify]: Simplify (/ PI 1) into PI
20.422 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.422 * [taylor]: Taking taylor expansion of -2 in n
20.422 * [backup-simplify]: Simplify -2 into -2
20.422 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.422 * [taylor]: Taking taylor expansion of PI in n
20.422 * [backup-simplify]: Simplify PI into PI
20.422 * [taylor]: Taking taylor expansion of n in n
20.422 * [backup-simplify]: Simplify 0 into 0
20.422 * [backup-simplify]: Simplify 1 into 1
20.423 * [backup-simplify]: Simplify (/ PI 1) into PI
20.423 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.424 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.425 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
20.425 * [backup-simplify]: Simplify 0 into 0
20.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.427 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
20.427 * [backup-simplify]: Simplify 0 into 0
20.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.430 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.430 * [backup-simplify]: Simplify 0 into 0
20.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.432 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
20.432 * [backup-simplify]: Simplify 0 into 0
20.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.437 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
20.437 * [backup-simplify]: Simplify 0 into 0
20.438 * [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
20.439 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
20.439 * [backup-simplify]: Simplify 0 into 0
20.440 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
20.440 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
20.441 * [backup-simplify]: Simplify (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k))
20.441 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
20.441 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
20.441 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
20.441 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
20.441 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
20.441 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
20.441 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
20.441 * [taylor]: Taking taylor expansion of 1/2 in n
20.441 * [backup-simplify]: Simplify 1/2 into 1/2
20.441 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
20.441 * [taylor]: Taking taylor expansion of 1/2 in n
20.441 * [backup-simplify]: Simplify 1/2 into 1/2
20.441 * [taylor]: Taking taylor expansion of k in n
20.441 * [backup-simplify]: Simplify k into k
20.441 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
20.441 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
20.441 * [taylor]: Taking taylor expansion of 2 in n
20.441 * [backup-simplify]: Simplify 2 into 2
20.441 * [taylor]: Taking taylor expansion of (* n PI) in n
20.441 * [taylor]: Taking taylor expansion of n in n
20.441 * [backup-simplify]: Simplify 0 into 0
20.441 * [backup-simplify]: Simplify 1 into 1
20.441 * [taylor]: Taking taylor expansion of PI in n
20.441 * [backup-simplify]: Simplify PI into PI
20.442 * [backup-simplify]: Simplify (* 0 PI) into 0
20.442 * [backup-simplify]: Simplify (* 2 0) into 0
20.443 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.445 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
20.446 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.446 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
20.446 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
20.446 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
20.447 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.448 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
20.449 * [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)))))
20.450 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
20.450 * [taylor]: Taking taylor expansion of (sqrt k) in n
20.450 * [taylor]: Taking taylor expansion of k in n
20.450 * [backup-simplify]: Simplify k into k
20.450 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
20.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
20.451 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
20.451 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
20.451 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
20.451 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
20.451 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
20.451 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.451 * [taylor]: Taking taylor expansion of 1/2 in k
20.451 * [backup-simplify]: Simplify 1/2 into 1/2
20.451 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.451 * [taylor]: Taking taylor expansion of 1/2 in k
20.451 * [backup-simplify]: Simplify 1/2 into 1/2
20.451 * [taylor]: Taking taylor expansion of k in k
20.451 * [backup-simplify]: Simplify 0 into 0
20.451 * [backup-simplify]: Simplify 1 into 1
20.451 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
20.451 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
20.451 * [taylor]: Taking taylor expansion of 2 in k
20.451 * [backup-simplify]: Simplify 2 into 2
20.451 * [taylor]: Taking taylor expansion of (* n PI) in k
20.451 * [taylor]: Taking taylor expansion of n in k
20.451 * [backup-simplify]: Simplify n into n
20.451 * [taylor]: Taking taylor expansion of PI in k
20.451 * [backup-simplify]: Simplify PI into PI
20.451 * [backup-simplify]: Simplify (* n PI) into (* n PI)
20.451 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
20.451 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
20.452 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.452 * [backup-simplify]: Simplify (- 0) into 0
20.452 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.452 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
20.453 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
20.453 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
20.453 * [taylor]: Taking taylor expansion of (sqrt k) in k
20.453 * [taylor]: Taking taylor expansion of k in k
20.453 * [backup-simplify]: Simplify 0 into 0
20.453 * [backup-simplify]: Simplify 1 into 1
20.453 * [backup-simplify]: Simplify (sqrt 0) into 0
20.454 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
20.455 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
20.455 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
20.455 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
20.455 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
20.455 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
20.455 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.455 * [taylor]: Taking taylor expansion of 1/2 in k
20.455 * [backup-simplify]: Simplify 1/2 into 1/2
20.455 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.455 * [taylor]: Taking taylor expansion of 1/2 in k
20.455 * [backup-simplify]: Simplify 1/2 into 1/2
20.455 * [taylor]: Taking taylor expansion of k in k
20.455 * [backup-simplify]: Simplify 0 into 0
20.455 * [backup-simplify]: Simplify 1 into 1
20.455 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
20.455 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
20.455 * [taylor]: Taking taylor expansion of 2 in k
20.455 * [backup-simplify]: Simplify 2 into 2
20.455 * [taylor]: Taking taylor expansion of (* n PI) in k
20.455 * [taylor]: Taking taylor expansion of n in k
20.455 * [backup-simplify]: Simplify n into n
20.455 * [taylor]: Taking taylor expansion of PI in k
20.455 * [backup-simplify]: Simplify PI into PI
20.455 * [backup-simplify]: Simplify (* n PI) into (* n PI)
20.455 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
20.455 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
20.456 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.456 * [backup-simplify]: Simplify (- 0) into 0
20.456 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.456 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
20.457 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
20.457 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
20.457 * [taylor]: Taking taylor expansion of (sqrt k) in k
20.457 * [taylor]: Taking taylor expansion of k in k
20.457 * [backup-simplify]: Simplify 0 into 0
20.457 * [backup-simplify]: Simplify 1 into 1
20.457 * [backup-simplify]: Simplify (sqrt 0) into 0
20.458 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
20.458 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
20.459 * [taylor]: Taking taylor expansion of 0 in n
20.459 * [backup-simplify]: Simplify 0 into 0
20.459 * [backup-simplify]: Simplify 0 into 0
20.459 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
20.459 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
20.460 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
20.461 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.461 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.462 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
20.462 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
20.463 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))
20.465 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))
20.465 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
20.465 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
20.465 * [taylor]: Taking taylor expansion of +nan.0 in n
20.465 * [backup-simplify]: Simplify +nan.0 into +nan.0
20.465 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
20.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
20.465 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
20.465 * [taylor]: Taking taylor expansion of (* n PI) in n
20.465 * [taylor]: Taking taylor expansion of n in n
20.465 * [backup-simplify]: Simplify 0 into 0
20.465 * [backup-simplify]: Simplify 1 into 1
20.465 * [taylor]: Taking taylor expansion of PI in n
20.465 * [backup-simplify]: Simplify PI into PI
20.465 * [backup-simplify]: Simplify (* 0 PI) into 0
20.467 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.467 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
20.468 * [backup-simplify]: Simplify (sqrt 0) into 0
20.469 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
20.470 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
20.470 * [taylor]: Taking taylor expansion of 1/2 in n
20.470 * [backup-simplify]: Simplify 1/2 into 1/2
20.470 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
20.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
20.473 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
20.474 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
20.478 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
20.481 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
20.483 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
20.484 * [backup-simplify]: Simplify 0 into 0
20.486 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
20.487 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
20.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
20.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
20.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
20.490 * [backup-simplify]: Simplify (- 0) into 0
20.491 * [backup-simplify]: Simplify (+ 0 0) into 0
20.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
20.493 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
20.495 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))
20.500 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))))
20.501 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n
20.501 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n
20.501 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
20.501 * [taylor]: Taking taylor expansion of +nan.0 in n
20.501 * [backup-simplify]: Simplify +nan.0 into +nan.0
20.501 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
20.501 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
20.501 * [taylor]: Taking taylor expansion of (sqrt 2) in n
20.501 * [taylor]: Taking taylor expansion of 2 in n
20.501 * [backup-simplify]: Simplify 2 into 2
20.501 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.502 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
20.502 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
20.502 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
20.502 * [taylor]: Taking taylor expansion of 2 in n
20.502 * [backup-simplify]: Simplify 2 into 2
20.502 * [taylor]: Taking taylor expansion of (* n PI) in n
20.502 * [taylor]: Taking taylor expansion of n in n
20.502 * [backup-simplify]: Simplify 0 into 0
20.502 * [backup-simplify]: Simplify 1 into 1
20.502 * [taylor]: Taking taylor expansion of PI in n
20.502 * [backup-simplify]: Simplify PI into PI
20.502 * [backup-simplify]: Simplify (* 0 PI) into 0
20.503 * [backup-simplify]: Simplify (* 2 0) into 0
20.504 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.505 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
20.506 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.506 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
20.506 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
20.506 * [taylor]: Taking taylor expansion of 1/2 in n
20.506 * [backup-simplify]: Simplify 1/2 into 1/2
20.507 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
20.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
20.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
20.508 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
20.508 * [taylor]: Taking taylor expansion of (* n PI) in n
20.508 * [taylor]: Taking taylor expansion of n in n
20.508 * [backup-simplify]: Simplify 0 into 0
20.508 * [backup-simplify]: Simplify 1 into 1
20.508 * [taylor]: Taking taylor expansion of PI in n
20.508 * [backup-simplify]: Simplify PI into PI
20.508 * [backup-simplify]: Simplify (* 0 PI) into 0
20.509 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.510 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
20.510 * [backup-simplify]: Simplify (sqrt 0) into 0
20.512 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
20.512 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
20.512 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
20.512 * [taylor]: Taking taylor expansion of +nan.0 in n
20.512 * [backup-simplify]: Simplify +nan.0 into +nan.0
20.512 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
20.512 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
20.512 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
20.512 * [taylor]: Taking taylor expansion of (* n PI) in n
20.512 * [taylor]: Taking taylor expansion of n in n
20.512 * [backup-simplify]: Simplify 0 into 0
20.512 * [backup-simplify]: Simplify 1 into 1
20.512 * [taylor]: Taking taylor expansion of PI in n
20.512 * [backup-simplify]: Simplify PI into PI
20.513 * [backup-simplify]: Simplify (* 0 PI) into 0
20.514 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.514 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
20.515 * [backup-simplify]: Simplify (sqrt 0) into 0
20.516 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
20.516 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
20.517 * [taylor]: Taking taylor expansion of 1/2 in n
20.517 * [backup-simplify]: Simplify 1/2 into 1/2
20.517 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
20.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
20.519 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.520 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
20.522 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
20.524 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))
20.525 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.526 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
20.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
20.528 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
20.529 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.531 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
20.533 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
20.536 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
20.538 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
20.549 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
20.552 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
20.552 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
20.557 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
20.562 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
20.575 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
20.592 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
20.604 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
20.605 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
20.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
20.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
20.609 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
20.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
20.618 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
20.620 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
20.622 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
20.647 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
20.648 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (/ 1 (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
20.648 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
20.648 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
20.648 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
20.648 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.648 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.648 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.648 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.648 * [taylor]: Taking taylor expansion of 1/2 in n
20.648 * [backup-simplify]: Simplify 1/2 into 1/2
20.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.648 * [taylor]: Taking taylor expansion of 1/2 in n
20.648 * [backup-simplify]: Simplify 1/2 into 1/2
20.648 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.648 * [taylor]: Taking taylor expansion of k in n
20.648 * [backup-simplify]: Simplify k into k
20.649 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.649 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.649 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.649 * [taylor]: Taking taylor expansion of 2 in n
20.649 * [backup-simplify]: Simplify 2 into 2
20.649 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.649 * [taylor]: Taking taylor expansion of PI in n
20.649 * [backup-simplify]: Simplify PI into PI
20.649 * [taylor]: Taking taylor expansion of n in n
20.649 * [backup-simplify]: Simplify 0 into 0
20.649 * [backup-simplify]: Simplify 1 into 1
20.649 * [backup-simplify]: Simplify (/ PI 1) into PI
20.650 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.651 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.651 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.651 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.651 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.652 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.653 * [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)))
20.654 * [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))))
20.655 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
20.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
20.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.656 * [taylor]: Taking taylor expansion of k in n
20.656 * [backup-simplify]: Simplify k into k
20.656 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.656 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
20.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
20.656 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
20.656 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
20.656 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
20.656 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
20.656 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
20.656 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.656 * [taylor]: Taking taylor expansion of 1/2 in k
20.656 * [backup-simplify]: Simplify 1/2 into 1/2
20.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.656 * [taylor]: Taking taylor expansion of 1/2 in k
20.656 * [backup-simplify]: Simplify 1/2 into 1/2
20.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.656 * [taylor]: Taking taylor expansion of k in k
20.656 * [backup-simplify]: Simplify 0 into 0
20.656 * [backup-simplify]: Simplify 1 into 1
20.657 * [backup-simplify]: Simplify (/ 1 1) into 1
20.657 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
20.657 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
20.657 * [taylor]: Taking taylor expansion of 2 in k
20.657 * [backup-simplify]: Simplify 2 into 2
20.657 * [taylor]: Taking taylor expansion of (/ PI n) in k
20.657 * [taylor]: Taking taylor expansion of PI in k
20.657 * [backup-simplify]: Simplify PI into PI
20.657 * [taylor]: Taking taylor expansion of n in k
20.657 * [backup-simplify]: Simplify n into n
20.657 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
20.657 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
20.657 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
20.658 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.658 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.659 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.659 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
20.659 * [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))))
20.659 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
20.659 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
20.659 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.659 * [taylor]: Taking taylor expansion of k in k
20.659 * [backup-simplify]: Simplify 0 into 0
20.659 * [backup-simplify]: Simplify 1 into 1
20.660 * [backup-simplify]: Simplify (/ 1 1) into 1
20.660 * [backup-simplify]: Simplify (sqrt 0) into 0
20.661 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
20.662 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
20.662 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
20.662 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
20.662 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
20.662 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
20.662 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.662 * [taylor]: Taking taylor expansion of 1/2 in k
20.662 * [backup-simplify]: Simplify 1/2 into 1/2
20.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.662 * [taylor]: Taking taylor expansion of 1/2 in k
20.662 * [backup-simplify]: Simplify 1/2 into 1/2
20.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.662 * [taylor]: Taking taylor expansion of k in k
20.662 * [backup-simplify]: Simplify 0 into 0
20.662 * [backup-simplify]: Simplify 1 into 1
20.662 * [backup-simplify]: Simplify (/ 1 1) into 1
20.662 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
20.662 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
20.662 * [taylor]: Taking taylor expansion of 2 in k
20.662 * [backup-simplify]: Simplify 2 into 2
20.662 * [taylor]: Taking taylor expansion of (/ PI n) in k
20.662 * [taylor]: Taking taylor expansion of PI in k
20.662 * [backup-simplify]: Simplify PI into PI
20.662 * [taylor]: Taking taylor expansion of n in k
20.663 * [backup-simplify]: Simplify n into n
20.663 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
20.663 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
20.663 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
20.663 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.664 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.664 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.664 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
20.664 * [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))))
20.665 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
20.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
20.665 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.665 * [taylor]: Taking taylor expansion of k in k
20.665 * [backup-simplify]: Simplify 0 into 0
20.665 * [backup-simplify]: Simplify 1 into 1
20.665 * [backup-simplify]: Simplify (/ 1 1) into 1
20.665 * [backup-simplify]: Simplify (sqrt 0) into 0
20.667 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
20.667 * [backup-simplify]: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
20.667 * [taylor]: Taking taylor expansion of 0 in n
20.667 * [backup-simplify]: Simplify 0 into 0
20.667 * [backup-simplify]: Simplify 0 into 0
20.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
20.668 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
20.668 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
20.668 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
20.668 * [taylor]: Taking taylor expansion of +nan.0 in n
20.668 * [backup-simplify]: Simplify +nan.0 into +nan.0
20.668 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
20.669 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.669 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.669 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.669 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.669 * [taylor]: Taking taylor expansion of 1/2 in n
20.669 * [backup-simplify]: Simplify 1/2 into 1/2
20.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.669 * [taylor]: Taking taylor expansion of 1/2 in n
20.669 * [backup-simplify]: Simplify 1/2 into 1/2
20.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.669 * [taylor]: Taking taylor expansion of k in n
20.669 * [backup-simplify]: Simplify k into k
20.669 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.669 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.669 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.669 * [taylor]: Taking taylor expansion of 2 in n
20.669 * [backup-simplify]: Simplify 2 into 2
20.669 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.669 * [taylor]: Taking taylor expansion of PI in n
20.669 * [backup-simplify]: Simplify PI into PI
20.669 * [taylor]: Taking taylor expansion of n in n
20.669 * [backup-simplify]: Simplify 0 into 0
20.669 * [backup-simplify]: Simplify 1 into 1
20.670 * [backup-simplify]: Simplify (/ PI 1) into PI
20.670 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.671 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.671 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.671 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.671 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.673 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.676 * [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)))
20.677 * [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))))
20.679 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
20.680 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
20.681 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
20.682 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
20.682 * [backup-simplify]: Simplify 0 into 0
20.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
20.686 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
20.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
20.688 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
20.688 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
20.688 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
20.688 * [taylor]: Taking taylor expansion of +nan.0 in n
20.688 * [backup-simplify]: Simplify +nan.0 into +nan.0
20.688 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
20.688 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.688 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.688 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.688 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.688 * [taylor]: Taking taylor expansion of 1/2 in n
20.688 * [backup-simplify]: Simplify 1/2 into 1/2
20.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.688 * [taylor]: Taking taylor expansion of 1/2 in n
20.688 * [backup-simplify]: Simplify 1/2 into 1/2
20.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.688 * [taylor]: Taking taylor expansion of k in n
20.688 * [backup-simplify]: Simplify k into k
20.688 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.688 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.688 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.688 * [taylor]: Taking taylor expansion of 2 in n
20.688 * [backup-simplify]: Simplify 2 into 2
20.688 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.688 * [taylor]: Taking taylor expansion of PI in n
20.688 * [backup-simplify]: Simplify PI into PI
20.688 * [taylor]: Taking taylor expansion of n in n
20.688 * [backup-simplify]: Simplify 0 into 0
20.688 * [backup-simplify]: Simplify 1 into 1
20.689 * [backup-simplify]: Simplify (/ PI 1) into PI
20.689 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.690 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.690 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.690 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.690 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.692 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.693 * [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)))
20.694 * [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))))
20.695 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
20.696 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
20.697 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
20.698 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
20.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.700 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
20.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
20.703 * [backup-simplify]: Simplify (- 0) into 0
20.703 * [backup-simplify]: Simplify (+ 0 0) into 0
20.705 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.706 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
20.707 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
20.711 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
20.712 * [backup-simplify]: Simplify (- 0) into 0
20.712 * [backup-simplify]: Simplify 0 into 0
20.712 * [backup-simplify]: Simplify 0 into 0
20.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.716 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
20.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
20.718 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
20.718 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
20.718 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
20.718 * [taylor]: Taking taylor expansion of +nan.0 in n
20.718 * [backup-simplify]: Simplify +nan.0 into +nan.0
20.718 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
20.718 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.718 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.718 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.718 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.718 * [taylor]: Taking taylor expansion of 1/2 in n
20.718 * [backup-simplify]: Simplify 1/2 into 1/2
20.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.718 * [taylor]: Taking taylor expansion of 1/2 in n
20.718 * [backup-simplify]: Simplify 1/2 into 1/2
20.718 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.719 * [taylor]: Taking taylor expansion of k in n
20.719 * [backup-simplify]: Simplify k into k
20.719 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.719 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.719 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.719 * [taylor]: Taking taylor expansion of 2 in n
20.719 * [backup-simplify]: Simplify 2 into 2
20.719 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.719 * [taylor]: Taking taylor expansion of PI in n
20.719 * [backup-simplify]: Simplify PI into PI
20.719 * [taylor]: Taking taylor expansion of n in n
20.719 * [backup-simplify]: Simplify 0 into 0
20.719 * [backup-simplify]: Simplify 1 into 1
20.719 * [backup-simplify]: Simplify (/ PI 1) into PI
20.720 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.721 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.721 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.721 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.721 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.722 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.723 * [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)))
20.725 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
20.726 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
20.727 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
20.728 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
20.730 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
20.734 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
20.734 * [backup-simplify]: Simplify (* (sqrt (/ 1 (- k))) (/ 1 (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
20.735 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
20.735 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
20.735 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
20.735 * [taylor]: Taking taylor expansion of (/ -1 k) in n
20.735 * [taylor]: Taking taylor expansion of -1 in n
20.735 * [backup-simplify]: Simplify -1 into -1
20.735 * [taylor]: Taking taylor expansion of k in n
20.735 * [backup-simplify]: Simplify k into k
20.735 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
20.735 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
20.735 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
20.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
20.735 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.735 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
20.735 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
20.735 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.735 * [taylor]: Taking taylor expansion of 1/2 in n
20.735 * [backup-simplify]: Simplify 1/2 into 1/2
20.735 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.735 * [taylor]: Taking taylor expansion of k in n
20.735 * [backup-simplify]: Simplify k into k
20.735 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.736 * [taylor]: Taking taylor expansion of 1/2 in n
20.736 * [backup-simplify]: Simplify 1/2 into 1/2
20.736 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
20.736 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.736 * [taylor]: Taking taylor expansion of -2 in n
20.736 * [backup-simplify]: Simplify -2 into -2
20.736 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.736 * [taylor]: Taking taylor expansion of PI in n
20.736 * [backup-simplify]: Simplify PI into PI
20.736 * [taylor]: Taking taylor expansion of n in n
20.736 * [backup-simplify]: Simplify 0 into 0
20.736 * [backup-simplify]: Simplify 1 into 1
20.736 * [backup-simplify]: Simplify (/ PI 1) into PI
20.737 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.738 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.738 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.738 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.740 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.741 * [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)))
20.742 * [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))))
20.743 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
20.743 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
20.743 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
20.743 * [taylor]: Taking taylor expansion of (/ -1 k) in k
20.743 * [taylor]: Taking taylor expansion of -1 in k
20.743 * [backup-simplify]: Simplify -1 into -1
20.743 * [taylor]: Taking taylor expansion of k in k
20.743 * [backup-simplify]: Simplify 0 into 0
20.743 * [backup-simplify]: Simplify 1 into 1
20.743 * [backup-simplify]: Simplify (/ -1 1) into -1
20.744 * [backup-simplify]: Simplify (sqrt 0) into 0
20.745 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
20.745 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
20.745 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
20.745 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
20.745 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.745 * [taylor]: Taking taylor expansion of 1/2 in k
20.745 * [backup-simplify]: Simplify 1/2 into 1/2
20.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.745 * [taylor]: Taking taylor expansion of k in k
20.745 * [backup-simplify]: Simplify 0 into 0
20.745 * [backup-simplify]: Simplify 1 into 1
20.746 * [backup-simplify]: Simplify (/ 1 1) into 1
20.746 * [taylor]: Taking taylor expansion of 1/2 in k
20.746 * [backup-simplify]: Simplify 1/2 into 1/2
20.746 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
20.746 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
20.746 * [taylor]: Taking taylor expansion of -2 in k
20.746 * [backup-simplify]: Simplify -2 into -2
20.746 * [taylor]: Taking taylor expansion of (/ PI n) in k
20.746 * [taylor]: Taking taylor expansion of PI in k
20.746 * [backup-simplify]: Simplify PI into PI
20.746 * [taylor]: Taking taylor expansion of n in k
20.746 * [backup-simplify]: Simplify n into n
20.746 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
20.746 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
20.746 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
20.747 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.747 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.747 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
20.747 * [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)))
20.748 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
20.748 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
20.748 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
20.748 * [taylor]: Taking taylor expansion of (/ -1 k) in k
20.748 * [taylor]: Taking taylor expansion of -1 in k
20.748 * [backup-simplify]: Simplify -1 into -1
20.748 * [taylor]: Taking taylor expansion of k in k
20.748 * [backup-simplify]: Simplify 0 into 0
20.748 * [backup-simplify]: Simplify 1 into 1
20.748 * [backup-simplify]: Simplify (/ -1 1) into -1
20.749 * [backup-simplify]: Simplify (sqrt 0) into 0
20.750 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
20.750 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
20.750 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
20.750 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
20.750 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.750 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.750 * [taylor]: Taking taylor expansion of 1/2 in k
20.750 * [backup-simplify]: Simplify 1/2 into 1/2
20.750 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.750 * [taylor]: Taking taylor expansion of k in k
20.750 * [backup-simplify]: Simplify 0 into 0
20.750 * [backup-simplify]: Simplify 1 into 1
20.750 * [backup-simplify]: Simplify (/ 1 1) into 1
20.750 * [taylor]: Taking taylor expansion of 1/2 in k
20.751 * [backup-simplify]: Simplify 1/2 into 1/2
20.751 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
20.751 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
20.751 * [taylor]: Taking taylor expansion of -2 in k
20.751 * [backup-simplify]: Simplify -2 into -2
20.751 * [taylor]: Taking taylor expansion of (/ PI n) in k
20.751 * [taylor]: Taking taylor expansion of PI in k
20.751 * [backup-simplify]: Simplify PI into PI
20.751 * [taylor]: Taking taylor expansion of n in k
20.751 * [backup-simplify]: Simplify n into n
20.751 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
20.751 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
20.751 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
20.751 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.752 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.752 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
20.752 * [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)))
20.752 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
20.752 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
20.752 * [taylor]: Taking taylor expansion of +nan.0 in n
20.753 * [backup-simplify]: Simplify +nan.0 into +nan.0
20.753 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
20.753 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.753 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
20.753 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.753 * [taylor]: Taking taylor expansion of -2 in n
20.753 * [backup-simplify]: Simplify -2 into -2
20.753 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.753 * [taylor]: Taking taylor expansion of PI in n
20.753 * [backup-simplify]: Simplify PI into PI
20.753 * [taylor]: Taking taylor expansion of n in n
20.753 * [backup-simplify]: Simplify 0 into 0
20.753 * [backup-simplify]: Simplify 1 into 1
20.753 * [backup-simplify]: Simplify (/ PI 1) into PI
20.754 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.755 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.755 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.755 * [taylor]: Taking taylor expansion of 1/2 in n
20.755 * [backup-simplify]: Simplify 1/2 into 1/2
20.755 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.755 * [taylor]: Taking taylor expansion of k in n
20.755 * [backup-simplify]: Simplify k into k
20.755 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.755 * [taylor]: Taking taylor expansion of 1/2 in n
20.755 * [backup-simplify]: Simplify 1/2 into 1/2
20.756 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.756 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.756 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.757 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
20.758 * [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))))
20.759 * [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)))))
20.760 * [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)))))
20.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
20.764 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
20.764 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
20.764 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
20.764 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
20.764 * [taylor]: Taking taylor expansion of +nan.0 in n
20.764 * [backup-simplify]: Simplify +nan.0 into +nan.0
20.764 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
20.764 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
20.764 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.765 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
20.765 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.765 * [taylor]: Taking taylor expansion of -2 in n
20.765 * [backup-simplify]: Simplify -2 into -2
20.765 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.765 * [taylor]: Taking taylor expansion of PI in n
20.765 * [backup-simplify]: Simplify PI into PI
20.765 * [taylor]: Taking taylor expansion of n in n
20.765 * [backup-simplify]: Simplify 0 into 0
20.765 * [backup-simplify]: Simplify 1 into 1
20.765 * [backup-simplify]: Simplify (/ PI 1) into PI
20.766 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.767 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.767 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.767 * [taylor]: Taking taylor expansion of 1/2 in n
20.767 * [backup-simplify]: Simplify 1/2 into 1/2
20.767 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.767 * [taylor]: Taking taylor expansion of k in n
20.767 * [backup-simplify]: Simplify k into k
20.767 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.767 * [taylor]: Taking taylor expansion of 1/2 in n
20.767 * [backup-simplify]: Simplify 1/2 into 1/2
20.768 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.768 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.768 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.770 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
20.771 * [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))))
20.772 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
20.773 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
20.774 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
20.775 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
20.776 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
20.777 * [backup-simplify]: Simplify (+ 0 0) into 0
20.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.778 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
20.780 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
20.781 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
20.783 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.785 * [backup-simplify]: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
20.786 * [backup-simplify]: Simplify 0 into 0
20.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
20.792 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
20.792 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
20.792 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
20.792 * [taylor]: Taking taylor expansion of +nan.0 in n
20.792 * [backup-simplify]: Simplify +nan.0 into +nan.0
20.792 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
20.792 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
20.792 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.792 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
20.792 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.792 * [taylor]: Taking taylor expansion of -2 in n
20.792 * [backup-simplify]: Simplify -2 into -2
20.792 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.792 * [taylor]: Taking taylor expansion of PI in n
20.792 * [backup-simplify]: Simplify PI into PI
20.792 * [taylor]: Taking taylor expansion of n in n
20.792 * [backup-simplify]: Simplify 0 into 0
20.792 * [backup-simplify]: Simplify 1 into 1
20.792 * [backup-simplify]: Simplify (/ PI 1) into PI
20.793 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.794 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.794 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.794 * [taylor]: Taking taylor expansion of 1/2 in n
20.794 * [backup-simplify]: Simplify 1/2 into 1/2
20.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.794 * [taylor]: Taking taylor expansion of k in n
20.794 * [backup-simplify]: Simplify k into k
20.794 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.794 * [taylor]: Taking taylor expansion of 1/2 in n
20.794 * [backup-simplify]: Simplify 1/2 into 1/2
20.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.796 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.796 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.799 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
20.800 * [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))))
20.801 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
20.802 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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)))))
20.803 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
20.804 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
20.809 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
20.809 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
20.809 * [backup-simplify]: Simplify (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) into (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
20.810 * [approximate]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
20.810 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
20.810 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
20.810 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
20.810 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
20.810 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.810 * [taylor]: Taking taylor expansion of 1/2 in k
20.810 * [backup-simplify]: Simplify 1/2 into 1/2
20.810 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.810 * [taylor]: Taking taylor expansion of 1/2 in k
20.810 * [backup-simplify]: Simplify 1/2 into 1/2
20.810 * [taylor]: Taking taylor expansion of k in k
20.810 * [backup-simplify]: Simplify 0 into 0
20.810 * [backup-simplify]: Simplify 1 into 1
20.810 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
20.810 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
20.810 * [taylor]: Taking taylor expansion of 2 in k
20.810 * [backup-simplify]: Simplify 2 into 2
20.810 * [taylor]: Taking taylor expansion of (* n PI) in k
20.810 * [taylor]: Taking taylor expansion of n in k
20.810 * [backup-simplify]: Simplify n into n
20.810 * [taylor]: Taking taylor expansion of PI in k
20.810 * [backup-simplify]: Simplify PI into PI
20.810 * [backup-simplify]: Simplify (* n PI) into (* n PI)
20.810 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
20.810 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
20.814 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.815 * [backup-simplify]: Simplify (- 0) into 0
20.815 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.815 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
20.815 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
20.816 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
20.816 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
20.816 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
20.816 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
20.816 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
20.816 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
20.816 * [taylor]: Taking taylor expansion of 1/2 in n
20.816 * [backup-simplify]: Simplify 1/2 into 1/2
20.816 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
20.816 * [taylor]: Taking taylor expansion of 1/2 in n
20.816 * [backup-simplify]: Simplify 1/2 into 1/2
20.816 * [taylor]: Taking taylor expansion of k in n
20.816 * [backup-simplify]: Simplify k into k
20.816 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
20.816 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
20.816 * [taylor]: Taking taylor expansion of 2 in n
20.816 * [backup-simplify]: Simplify 2 into 2
20.816 * [taylor]: Taking taylor expansion of (* n PI) in n
20.816 * [taylor]: Taking taylor expansion of n in n
20.816 * [backup-simplify]: Simplify 0 into 0
20.816 * [backup-simplify]: Simplify 1 into 1
20.816 * [taylor]: Taking taylor expansion of PI in n
20.816 * [backup-simplify]: Simplify PI into PI
20.817 * [backup-simplify]: Simplify (* 0 PI) into 0
20.817 * [backup-simplify]: Simplify (* 2 0) into 0
20.819 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.820 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
20.821 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.822 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
20.822 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
20.822 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
20.823 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.824 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
20.826 * [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)))))
20.827 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
20.827 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
20.827 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
20.827 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
20.827 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
20.827 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
20.827 * [taylor]: Taking taylor expansion of 1/2 in n
20.827 * [backup-simplify]: Simplify 1/2 into 1/2
20.827 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
20.827 * [taylor]: Taking taylor expansion of 1/2 in n
20.827 * [backup-simplify]: Simplify 1/2 into 1/2
20.827 * [taylor]: Taking taylor expansion of k in n
20.827 * [backup-simplify]: Simplify k into k
20.827 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
20.828 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
20.828 * [taylor]: Taking taylor expansion of 2 in n
20.828 * [backup-simplify]: Simplify 2 into 2
20.828 * [taylor]: Taking taylor expansion of (* n PI) in n
20.828 * [taylor]: Taking taylor expansion of n in n
20.828 * [backup-simplify]: Simplify 0 into 0
20.828 * [backup-simplify]: Simplify 1 into 1
20.828 * [taylor]: Taking taylor expansion of PI in n
20.828 * [backup-simplify]: Simplify PI into PI
20.828 * [backup-simplify]: Simplify (* 0 PI) into 0
20.829 * [backup-simplify]: Simplify (* 2 0) into 0
20.830 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.832 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
20.833 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.833 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
20.833 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
20.833 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
20.835 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.836 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
20.837 * [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)))))
20.838 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
20.838 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) in k
20.839 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
20.839 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
20.839 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.839 * [taylor]: Taking taylor expansion of 1/2 in k
20.839 * [backup-simplify]: Simplify 1/2 into 1/2
20.839 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.839 * [taylor]: Taking taylor expansion of 1/2 in k
20.839 * [backup-simplify]: Simplify 1/2 into 1/2
20.839 * [taylor]: Taking taylor expansion of k in k
20.839 * [backup-simplify]: Simplify 0 into 0
20.839 * [backup-simplify]: Simplify 1 into 1
20.839 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
20.839 * [taylor]: Taking taylor expansion of (log n) in k
20.839 * [taylor]: Taking taylor expansion of n in k
20.839 * [backup-simplify]: Simplify n into n
20.839 * [backup-simplify]: Simplify (log n) into (log n)
20.839 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
20.839 * [taylor]: Taking taylor expansion of (* 2 PI) in k
20.839 * [taylor]: Taking taylor expansion of 2 in k
20.839 * [backup-simplify]: Simplify 2 into 2
20.839 * [taylor]: Taking taylor expansion of PI in k
20.839 * [backup-simplify]: Simplify PI into PI
20.840 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.841 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.841 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.842 * [backup-simplify]: Simplify (- 0) into 0
20.842 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.843 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.845 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
20.846 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
20.847 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))
20.848 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))
20.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
20.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
20.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
20.853 * [backup-simplify]: Simplify (- 0) into 0
20.854 * [backup-simplify]: Simplify (+ 0 0) into 0
20.855 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.856 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
20.858 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) (/ 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
20.861 * [taylor]: Taking taylor expansion of 0 in k
20.861 * [backup-simplify]: Simplify 0 into 0
20.861 * [backup-simplify]: Simplify 0 into 0
20.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
20.863 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
20.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.865 * [backup-simplify]: Simplify (+ 0 0) into 0
20.866 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.866 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.867 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
20.871 * [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)))))))
20.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (/ (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (+ (* 1/2 (/ (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/2 (/ (log n) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))
20.877 * [backup-simplify]: Simplify (+ (* 1/2 (/ (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/2 (/ (log n) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) into (+ (* 1/2 (/ (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/2 (/ (log n) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))
20.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
20.878 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
20.880 * [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
20.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
20.881 * [backup-simplify]: Simplify (- 0) into 0
20.881 * [backup-simplify]: Simplify (+ 0 0) into 0
20.882 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.883 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
20.884 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) (/ 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
20.886 * [taylor]: Taking taylor expansion of 0 in k
20.887 * [backup-simplify]: Simplify 0 into 0
20.887 * [backup-simplify]: Simplify 0 into 0
20.887 * [backup-simplify]: Simplify 0 into 0
20.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
20.888 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
20.890 * [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
20.890 * [backup-simplify]: Simplify (+ 0 0) into 0
20.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
20.891 * [backup-simplify]: Simplify (- 0) into 0
20.891 * [backup-simplify]: Simplify (+ 0 0) into 0
20.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
20.895 * [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)))))
20.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (/ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* (+ (* 1/2 (/ (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/2 (/ (log n) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (/ (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (+ (* 1/4 (/ (* (log n) (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/8 (/ (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/8 (/ (pow (log n) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))))
20.907 * [backup-simplify]: Simplify (+ (* 1/4 (/ (* (log n) (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/8 (/ (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/8 (/ (pow (log n) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (+ (* 1/4 (/ (* (log n) (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/8 (/ (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/8 (/ (pow (log n) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))))
20.914 * [backup-simplify]: Simplify (+ (* (+ (* 1/4 (/ (* (log n) (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/8 (/ (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/8 (/ (pow (log n) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) (pow (* k 1) 2)) (+ (* (+ (* 1/2 (/ (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/2 (/ (log n) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* k 1)) (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (/ (* (pow (log (* 2 PI)) 2) (pow k 2)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/2 (/ (* k (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/2 (/ (* (log n) k) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/4 (/ (* (log (* 2 PI)) (* (log n) (pow k 2))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* 1/8 (/ (* (pow (log n) 2) (pow k 2)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))))))
20.914 * [backup-simplify]: Simplify (/ 1 (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2)))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
20.914 * [approximate]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
20.914 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
20.914 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
20.914 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
20.914 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
20.914 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.914 * [taylor]: Taking taylor expansion of 1/2 in k
20.914 * [backup-simplify]: Simplify 1/2 into 1/2
20.914 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.914 * [taylor]: Taking taylor expansion of 1/2 in k
20.914 * [backup-simplify]: Simplify 1/2 into 1/2
20.914 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.914 * [taylor]: Taking taylor expansion of k in k
20.914 * [backup-simplify]: Simplify 0 into 0
20.914 * [backup-simplify]: Simplify 1 into 1
20.915 * [backup-simplify]: Simplify (/ 1 1) into 1
20.915 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
20.915 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
20.915 * [taylor]: Taking taylor expansion of 2 in k
20.915 * [backup-simplify]: Simplify 2 into 2
20.915 * [taylor]: Taking taylor expansion of (/ PI n) in k
20.915 * [taylor]: Taking taylor expansion of PI in k
20.915 * [backup-simplify]: Simplify PI into PI
20.915 * [taylor]: Taking taylor expansion of n in k
20.915 * [backup-simplify]: Simplify n into n
20.915 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
20.915 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
20.915 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
20.915 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.915 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.916 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.916 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
20.916 * [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))))
20.916 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
20.916 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
20.916 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.916 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.916 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.916 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.916 * [taylor]: Taking taylor expansion of 1/2 in n
20.916 * [backup-simplify]: Simplify 1/2 into 1/2
20.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.916 * [taylor]: Taking taylor expansion of 1/2 in n
20.916 * [backup-simplify]: Simplify 1/2 into 1/2
20.916 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.916 * [taylor]: Taking taylor expansion of k in n
20.916 * [backup-simplify]: Simplify k into k
20.916 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.916 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.916 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.916 * [taylor]: Taking taylor expansion of 2 in n
20.916 * [backup-simplify]: Simplify 2 into 2
20.916 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.916 * [taylor]: Taking taylor expansion of PI in n
20.916 * [backup-simplify]: Simplify PI into PI
20.916 * [taylor]: Taking taylor expansion of n in n
20.916 * [backup-simplify]: Simplify 0 into 0
20.916 * [backup-simplify]: Simplify 1 into 1
20.917 * [backup-simplify]: Simplify (/ PI 1) into PI
20.917 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.917 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.918 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.918 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.918 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.918 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.919 * [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)))
20.920 * [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))))
20.920 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
20.921 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
20.921 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.921 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.921 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.921 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.921 * [taylor]: Taking taylor expansion of 1/2 in n
20.921 * [backup-simplify]: Simplify 1/2 into 1/2
20.921 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.921 * [taylor]: Taking taylor expansion of 1/2 in n
20.921 * [backup-simplify]: Simplify 1/2 into 1/2
20.921 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.921 * [taylor]: Taking taylor expansion of k in n
20.921 * [backup-simplify]: Simplify k into k
20.921 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.921 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.921 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.921 * [taylor]: Taking taylor expansion of 2 in n
20.921 * [backup-simplify]: Simplify 2 into 2
20.921 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.921 * [taylor]: Taking taylor expansion of PI in n
20.921 * [backup-simplify]: Simplify PI into PI
20.921 * [taylor]: Taking taylor expansion of n in n
20.921 * [backup-simplify]: Simplify 0 into 0
20.921 * [backup-simplify]: Simplify 1 into 1
20.921 * [backup-simplify]: Simplify (/ PI 1) into PI
20.922 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.924 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.924 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.924 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.924 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.925 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.926 * [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)))
20.927 * [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))))
20.927 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
20.927 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k
20.927 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
20.927 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
20.927 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.927 * [taylor]: Taking taylor expansion of 1/2 in k
20.927 * [backup-simplify]: Simplify 1/2 into 1/2
20.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.927 * [taylor]: Taking taylor expansion of 1/2 in k
20.927 * [backup-simplify]: Simplify 1/2 into 1/2
20.927 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.927 * [taylor]: Taking taylor expansion of k in k
20.928 * [backup-simplify]: Simplify 0 into 0
20.928 * [backup-simplify]: Simplify 1 into 1
20.928 * [backup-simplify]: Simplify (/ 1 1) into 1
20.928 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
20.928 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
20.928 * [taylor]: Taking taylor expansion of (* 2 PI) in k
20.928 * [taylor]: Taking taylor expansion of 2 in k
20.928 * [backup-simplify]: Simplify 2 into 2
20.928 * [taylor]: Taking taylor expansion of PI in k
20.928 * [backup-simplify]: Simplify PI into PI
20.928 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.929 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.929 * [taylor]: Taking taylor expansion of (log n) in k
20.929 * [taylor]: Taking taylor expansion of n in k
20.929 * [backup-simplify]: Simplify n into n
20.929 * [backup-simplify]: Simplify (log n) into (log n)
20.929 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.929 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.930 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.930 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
20.930 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
20.931 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
20.932 * [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))))
20.932 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
20.933 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
20.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.935 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
20.937 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
20.938 * [backup-simplify]: Simplify (- 0) into 0
20.938 * [backup-simplify]: Simplify (+ 0 0) into 0
20.939 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.941 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
20.942 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
20.945 * [taylor]: Taking taylor expansion of 0 in k
20.945 * [backup-simplify]: Simplify 0 into 0
20.945 * [backup-simplify]: Simplify 0 into 0
20.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
20.947 * [backup-simplify]: Simplify 0 into 0
20.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.949 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
20.952 * [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
20.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
20.954 * [backup-simplify]: Simplify (- 0) into 0
20.954 * [backup-simplify]: Simplify (+ 0 0) into 0
20.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.957 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
20.959 * [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
20.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (* 0 (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
20.963 * [taylor]: Taking taylor expansion of 0 in k
20.963 * [backup-simplify]: Simplify 0 into 0
20.963 * [backup-simplify]: Simplify 0 into 0
20.963 * [backup-simplify]: Simplify 0 into 0
20.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (* 0 (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
20.966 * [backup-simplify]: Simplify 0 into 0
20.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.974 * [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
20.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
20.976 * [backup-simplify]: Simplify (- 0) into 0
20.976 * [backup-simplify]: Simplify (+ 0 0) into 0
20.978 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.980 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
20.983 * [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
20.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (* 0 (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (* 0 (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
20.987 * [taylor]: Taking taylor expansion of 0 in k
20.987 * [backup-simplify]: Simplify 0 into 0
20.987 * [backup-simplify]: Simplify 0 into 0
20.988 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))
20.989 * [backup-simplify]: Simplify (/ 1 (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
20.989 * [approximate]: Taking taylor expansion of (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0
20.989 * [taylor]: Taking taylor expansion of (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
20.989 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
20.989 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
20.989 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
20.989 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.990 * [taylor]: Taking taylor expansion of 1/2 in k
20.990 * [backup-simplify]: Simplify 1/2 into 1/2
20.990 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.990 * [taylor]: Taking taylor expansion of k in k
20.990 * [backup-simplify]: Simplify 0 into 0
20.990 * [backup-simplify]: Simplify 1 into 1
20.991 * [backup-simplify]: Simplify (/ 1 1) into 1
20.991 * [taylor]: Taking taylor expansion of 1/2 in k
20.991 * [backup-simplify]: Simplify 1/2 into 1/2
20.991 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
20.991 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
20.991 * [taylor]: Taking taylor expansion of -2 in k
20.991 * [backup-simplify]: Simplify -2 into -2
20.991 * [taylor]: Taking taylor expansion of (/ PI n) in k
20.991 * [taylor]: Taking taylor expansion of PI in k
20.991 * [backup-simplify]: Simplify PI into PI
20.991 * [taylor]: Taking taylor expansion of n in k
20.991 * [backup-simplify]: Simplify n into n
20.991 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
20.991 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
20.991 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
20.992 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.992 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.992 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
20.992 * [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)))
20.993 * [backup-simplify]: Simplify (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
20.993 * [taylor]: Taking taylor expansion of (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
20.993 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.993 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
20.993 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
20.993 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.993 * [taylor]: Taking taylor expansion of 1/2 in n
20.993 * [backup-simplify]: Simplify 1/2 into 1/2
20.993 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.993 * [taylor]: Taking taylor expansion of k in n
20.993 * [backup-simplify]: Simplify k into k
20.993 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.993 * [taylor]: Taking taylor expansion of 1/2 in n
20.993 * [backup-simplify]: Simplify 1/2 into 1/2
20.993 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
20.993 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.993 * [taylor]: Taking taylor expansion of -2 in n
20.993 * [backup-simplify]: Simplify -2 into -2
20.993 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.993 * [taylor]: Taking taylor expansion of PI in n
20.993 * [backup-simplify]: Simplify PI into PI
20.993 * [taylor]: Taking taylor expansion of n in n
20.993 * [backup-simplify]: Simplify 0 into 0
20.993 * [backup-simplify]: Simplify 1 into 1
20.994 * [backup-simplify]: Simplify (/ PI 1) into PI
20.994 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.995 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.995 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.995 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.997 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.998 * [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)))
20.999 * [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))))
21.000 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
21.001 * [taylor]: Taking taylor expansion of (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
21.001 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
21.001 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
21.001 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
21.001 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
21.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
21.001 * [taylor]: Taking taylor expansion of 1/2 in n
21.001 * [backup-simplify]: Simplify 1/2 into 1/2
21.001 * [taylor]: Taking taylor expansion of (/ 1 k) in n
21.001 * [taylor]: Taking taylor expansion of k in n
21.001 * [backup-simplify]: Simplify k into k
21.001 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
21.001 * [taylor]: Taking taylor expansion of 1/2 in n
21.001 * [backup-simplify]: Simplify 1/2 into 1/2
21.001 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
21.001 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
21.001 * [taylor]: Taking taylor expansion of -2 in n
21.001 * [backup-simplify]: Simplify -2 into -2
21.001 * [taylor]: Taking taylor expansion of (/ PI n) in n
21.001 * [taylor]: Taking taylor expansion of PI in n
21.002 * [backup-simplify]: Simplify PI into PI
21.002 * [taylor]: Taking taylor expansion of n in n
21.002 * [backup-simplify]: Simplify 0 into 0
21.002 * [backup-simplify]: Simplify 1 into 1
21.002 * [backup-simplify]: Simplify (/ PI 1) into PI
21.003 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.004 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.004 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
21.004 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
21.005 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.006 * [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)))
21.007 * [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))))
21.009 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
21.009 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) in k
21.009 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
21.009 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
21.009 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
21.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
21.009 * [taylor]: Taking taylor expansion of 1/2 in k
21.009 * [backup-simplify]: Simplify 1/2 into 1/2
21.009 * [taylor]: Taking taylor expansion of (/ 1 k) in k
21.009 * [taylor]: Taking taylor expansion of k in k
21.009 * [backup-simplify]: Simplify 0 into 0
21.009 * [backup-simplify]: Simplify 1 into 1
21.009 * [backup-simplify]: Simplify (/ 1 1) into 1
21.009 * [taylor]: Taking taylor expansion of 1/2 in k
21.009 * [backup-simplify]: Simplify 1/2 into 1/2
21.009 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
21.009 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
21.009 * [taylor]: Taking taylor expansion of (* -2 PI) in k
21.009 * [taylor]: Taking taylor expansion of -2 in k
21.010 * [backup-simplify]: Simplify -2 into -2
21.010 * [taylor]: Taking taylor expansion of PI in k
21.010 * [backup-simplify]: Simplify PI into PI
21.010 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
21.011 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
21.011 * [taylor]: Taking taylor expansion of (log n) in k
21.011 * [taylor]: Taking taylor expansion of n in k
21.011 * [backup-simplify]: Simplify n into n
21.011 * [backup-simplify]: Simplify (log n) into (log n)
21.012 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
21.012 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
21.012 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
21.013 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
21.014 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
21.015 * [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))))
21.016 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
21.017 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
21.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
21.019 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
21.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
21.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
21.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
21.022 * [backup-simplify]: Simplify (+ 0 0) into 0
21.023 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.024 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
21.026 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
21.028 * [taylor]: Taking taylor expansion of 0 in k
21.028 * [backup-simplify]: Simplify 0 into 0
21.028 * [backup-simplify]: Simplify 0 into 0
21.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
21.031 * [backup-simplify]: Simplify 0 into 0
21.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.033 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
21.036 * [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
21.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
21.038 * [backup-simplify]: Simplify (+ 0 0) into 0
21.039 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.041 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
21.044 * [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
21.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (* 0 (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
21.046 * [taylor]: Taking taylor expansion of 0 in k
21.046 * [backup-simplify]: Simplify 0 into 0
21.046 * [backup-simplify]: Simplify 0 into 0
21.046 * [backup-simplify]: Simplify 0 into 0
21.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (* 0 (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
21.049 * [backup-simplify]: Simplify 0 into 0
21.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
21.050 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
21.055 * [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
21.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
21.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
21.057 * [backup-simplify]: Simplify (+ 0 0) into 0
21.058 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
21.059 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
21.060 * [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
21.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (* 0 (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (* 0 (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
21.064 * [taylor]: Taking taylor expansion of 0 in k
21.064 * [backup-simplify]: Simplify 0 into 0
21.064 * [backup-simplify]: Simplify 0 into 0
21.065 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))
21.065 * * * [progress]: simplifying candidates
21.065 * * * * [progress]: [ 1 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))))))))>
21.065 * * * * [progress]: [ 2 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.065 * * * * [progress]: [ 3 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.065 * * * * [progress]: [ 4 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.065 * * * * [progress]: [ 5 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2))))))))>
21.065 * * * * [progress]: [ 6 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2))))))))>
21.065 * * * * [progress]: [ 7 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2))))))))>
21.065 * * * * [progress]: [ 8 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2)))))))>
21.065 * * * * [progress]: [ 9 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))))>
21.065 * * * * [progress]: [ 10 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))))>
21.065 * * * * [progress]: [ 11 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))))))>
21.066 * * * * [progress]: [ 12 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))))))>
21.066 * * * * [progress]: [ 13 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))))))))>
21.066 * * * * [progress]: [ 14 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))))))>
21.066 * * * * [progress]: [ 15 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2))))))))>
21.066 * * * * [progress]: [ 16 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2))))))))>
21.066 * * * * [progress]: [ 17 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2))))))))>
21.066 * * * * [progress]: [ 18 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1)))))>
21.066 * * * * [progress]: [ 19 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.066 * * * * [progress]: [ 20 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.066 * * * * [progress]: [ 21 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (* (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)))))))))>
21.066 * * * * [progress]: [ 22 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (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)))))))))>
21.066 * * * * [progress]: [ 23 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.066 * * * * [progress]: [ 24 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.066 * * * * [progress]: [ 25 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))))>
21.066 * * * * [progress]: [ 26 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.066 * * * * [progress]: [ 27 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))))))>
21.066 * * * * [progress]: [ 28 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))))))>
21.066 * * * * [progress]: [ 29 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2)))))))>
21.066 * * * * [progress]: [ 30 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2)))))))>
21.066 * * * * [progress]: [ 31 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 32 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 33 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 34 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 35 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 36 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 37 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 38 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 39 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 40 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 41 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 42 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 43 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 44 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 45 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))>
21.067 * * * * [progress]: [ 46 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1)))>
21.067 * * * * [progress]: [ 47 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1)))>
21.067 * * * * [progress]: [ 48 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))))))))>
21.067 * * * * [progress]: [ 49 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.067 * * * * [progress]: [ 50 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.067 * * * * [progress]: [ 51 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.067 * * * * [progress]: [ 52 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.067 * * * * [progress]: [ 53 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- 0 (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))))))))>
21.067 * * * * [progress]: [ 54 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- 0 (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.068 * * * * [progress]: [ 55 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.068 * * * * [progress]: [ 56 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.068 * * * * [progress]: [ 57 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- 0 (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.068 * * * * [progress]: [ 58 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (log 1) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))))))))>
21.068 * * * * [progress]: [ 59 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (log 1) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.068 * * * * [progress]: [ 60 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.068 * * * * [progress]: [ 61 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.068 * * * * [progress]: [ 62 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (log 1) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.068 * * * * [progress]: [ 63 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (log (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.068 * * * * [progress]: [ 64 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.068 * * * * [progress]: [ 65 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.068 * * * * [progress]: [ 66 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (/ (* (* 1 1) 1) (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.068 * * * * [progress]: [ 67 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.068 * * * * [progress]: [ 68 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (cbrt (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.068 * * * * [progress]: [ 69 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.068 * * * * [progress]: [ 70 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.068 * * * * [progress]: [ 71 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.068 * * * * [progress]: [ 72 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
21.068 * * * * [progress]: [ 73 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (* (sqrt (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.068 * * * * [progress]: [ 74 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (* (sqrt (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.068 * * * * [progress]: [ 75 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (* (sqrt (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))))>
21.068 * * * * [progress]: [ 76 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (* (sqrt (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.068 * * * * [progress]: [ 77 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (* (sqrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))))>
21.068 * * * * [progress]: [ 78 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (* (sqrt (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.069 * * * * [progress]: [ 79 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (* (sqrt (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.069 * * * * [progress]: [ 80 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (* (sqrt (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))))>
21.069 * * * * [progress]: [ 81 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (* (sqrt (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.069 * * * * [progress]: [ 82 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (* (sqrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))))>
21.069 * * * * [progress]: [ 83 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.069 * * * * [progress]: [ 84 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.069 * * * * [progress]: [ 85 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
21.069 * * * * [progress]: [ 86 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
21.069 * * * * [progress]: [ 87 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
21.069 * * * * [progress]: [ 88 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.069 * * * * [progress]: [ 89 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.069 * * * * [progress]: [ 90 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
21.069 * * * * [progress]: [ 91 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
21.069 * * * * [progress]: [ 92 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
21.069 * * * * [progress]: [ 93 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
21.069 * * * * [progress]: [ 94 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
21.069 * * * * [progress]: [ 95 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (sqrt 1) (* (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))))))))>
21.069 * * * * [progress]: [ 96 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.069 * * * * [progress]: [ 97 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (sqrt 1) 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
21.069 * * * * [progress]: [ 98 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
21.069 * * * * [progress]: [ 99 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
21.069 * * * * [progress]: [ 100 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
21.069 * * * * [progress]: [ 101 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
21.070 * * * * [progress]: [ 102 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (* (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))))))))>
21.070 * * * * [progress]: [ 103 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.070 * * * * [progress]: [ 104 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 1)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
21.070 * * * * [progress]: [ 105 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
21.070 * * * * [progress]: [ 106 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
21.070 * * * * [progress]: [ 107 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
21.070 * * * * [progress]: [ 108 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) 1/2))) (pow (* n (* 2 PI)) (/ k 2)))))>
21.070 * * * * [progress]: [ 109 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.070 * * * * [progress]: [ 110 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (* (cbrt k) (cbrt k))) (* (sqrt (cbrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.070 * * * * [progress]: [ 111 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (sqrt k)) (* (sqrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.070 * * * * [progress]: [ 112 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt 1) (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.070 * * * * [progress]: [ 113 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (sqrt k)) (* (sqrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.070 * * * * [progress]: [ 114 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.070 * * * * [progress]: [ 115 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (sqrt k) 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
21.070 * * * * [progress]: [ 116 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.070 * * * * [progress]: [ 117 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
21.070 * * * * [progress]: [ 118 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) -1))))>
21.070 * * * * [progress]: [ 119 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (pow (* n (* 2 PI)) (- (- 1/2 (/ k 2)))))))>
21.070 * * * * [progress]: [ 120 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (pow (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1))))>
21.070 * * * * [progress]: [ 121 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))))))))>
21.070 * * * * [progress]: [ 122 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.070 * * * * [progress]: [ 123 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.070 * * * * [progress]: [ 124 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.070 * * * * [progress]: [ 125 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.070 * * * * [progress]: [ 126 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- 0 (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))))))))>
21.071 * * * * [progress]: [ 127 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- 0 (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.071 * * * * [progress]: [ 128 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.071 * * * * [progress]: [ 129 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.071 * * * * [progress]: [ 130 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- 0 (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.071 * * * * [progress]: [ 131 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- (log 1) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))))))))>
21.071 * * * * [progress]: [ 132 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- (log 1) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.071 * * * * [progress]: [ 133 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.071 * * * * [progress]: [ 134 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))))>
21.071 * * * * [progress]: [ 135 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (- (log 1) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.071 * * * * [progress]: [ 136 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (exp (log (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.071 * * * * [progress]: [ 137 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (log (exp (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.071 * * * * [progress]: [ 138 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (cbrt (/ (* (* 1 1) 1) (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.071 * * * * [progress]: [ 139 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.071 * * * * [progress]: [ 140 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (cbrt (* (* (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.071 * * * * [progress]: [ 141 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.071 * * * * [progress]: [ 142 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ (- 1) (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.071 * * * * [progress]: [ 143 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2))))))))>
21.071 * * * * [progress]: [ 144 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2))))))))>
21.071 * * * * [progress]: [ 145 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2)))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2))))))))>
21.071 * * * * [progress]: [ 146 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.071 * * * * [progress]: [ 147 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.071 * * * * [progress]: [ 148 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.071 * * * * [progress]: [ 149 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))))>
21.071 * * * * [progress]: [ 150 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2))))))))>
21.072 * * * * [progress]: [ 151 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2))))))))>
21.072 * * * * [progress]: [ 152 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (sqrt 1) (pow n (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2))))))))>
21.072 * * * * [progress]: [ 153 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (sqrt 1) (* (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)))))))))>
21.072 * * * * [progress]: [ 154 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.072 * * * * [progress]: [ 155 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (sqrt 1) 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.072 * * * * [progress]: [ 156 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))))>
21.072 * * * * [progress]: [ 157 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 (pow (* n (* 2 PI)) 1/2)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2))))))))>
21.072 * * * * [progress]: [ 158 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 (pow (* n (* 2 PI)) 1/2)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2))))))))>
21.072 * * * * [progress]: [ 159 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2))))))))>
21.072 * * * * [progress]: [ 160 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 (* (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)))))))))>
21.072 * * * * [progress]: [ 161 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.072 * * * * [progress]: [ 162 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 1) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.072 * * * * [progress]: [ 163 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))))>
21.072 * * * * [progress]: [ 164 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* 1 (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.072 * * * * [progress]: [ 165 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* 1 (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.072 * * * * [progress]: [ 166 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1)))))>
21.072 * * * * [progress]: [ 167 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ (/ 1 (pow (* n (* 2 PI)) 1/2)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
21.072 * * * * [progress]: [ 168 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ (/ 1 (pow (* n (* 2 PI)) 1/2)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
21.072 * * * * [progress]: [ 169 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ (/ 1 (pow n (- 1/2 (/ k 2)))) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
21.072 * * * * [progress]: [ 170 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ (/ 1 (* (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))))))))>
21.072 * * * * [progress]: [ 171 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
21.072 * * * * [progress]: [ 172 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ (/ 1 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
21.072 * * * * [progress]: [ 173 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
21.072 * * * * [progress]: [ 174 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt 1))))))>
21.073 * * * * [progress]: [ 175 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ (sqrt 1) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1))))))>
21.073 * * * * [progress]: [ 176 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1)))))>
21.073 * * * * [progress]: [ 177 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 (pow (* n (* 2 PI)) 1/2)) (pow (* n (* 2 PI)) (/ k 2))))))>
21.073 * * * * [progress]: [ 178 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (posit16->real (real->posit16 (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))))>
21.073 * * * * [progress]: [ 179 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (- (+ (* 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)))))))))>
21.073 * * * * [progress]: [ 180 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
21.073 * * * * [progress]: [ 181 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
21.073 * * * * [progress]: [ 182 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))>
21.073 * * * * [progress]: [ 183 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))>
21.073 * * * * [progress]: [ 184 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))>
21.073 * * * * [progress]: [ 185 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
21.073 * * * * [progress]: [ 186 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))))>
21.073 * * * * [progress]: [ 187 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))))>
21.073 * * * * [progress]: [ 188 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (+ (* 1/8 (/ (* (pow (log (* 2 PI)) 2) (pow k 2)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/2 (/ (* k (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/2 (/ (* (log n) k) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/4 (/ (* (log (* 2 PI)) (* (log n) (pow k 2))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* 1/8 (/ (* (pow (log n) 2) (pow k 2)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))))))))))>
21.073 * * * * [progress]: [ 189 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
21.073 * * * * [progress]: [ 190 / 190 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
21.075 * [simplify]: Simplifying:
  (* (+ (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)) 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))))
  (* 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)))
  (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (+ (log (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)) (- 0 (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (+ (log (sqrt k)) (- 0 (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (+ (log (sqrt k)) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (+ (log (sqrt k)) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (+ (log (sqrt k)) (- 0 (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (+ (log (sqrt k)) (- (log 1) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (+ (log (sqrt k)) (- (log 1) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (+ (log (sqrt k)) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (+ (log (sqrt k)) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (+ (log (sqrt k)) (- (log 1) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (+ (log (sqrt k)) (log (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (log (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (exp (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (/ (* (* 1 1) 1) (* (* (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)) (* (* (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (cbrt (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (cbrt (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (* (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (sqrt (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (sqrt (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (* (sqrt (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (* (sqrt (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (* (sqrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (* (sqrt (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (* (sqrt (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (* (sqrt (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (* (sqrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (* (sqrt k) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (* (sqrt k) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2)))
  (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2)))
  (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2)))))
  (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) 1))
  (* (sqrt k) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (* (sqrt k) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (* (sqrt k) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (* (sqrt k) (/ (sqrt 1) (pow n (- 1/2 (/ k 2)))))
  (* (sqrt k) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (* (sqrt k) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt k) (/ (sqrt 1) 1))
  (* (sqrt k) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (* (sqrt k) (/ 1 (pow n (- 1/2 (/ k 2)))))
  (* (sqrt k) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (* (sqrt k) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (sqrt k) (/ 1 1))
  (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (* (sqrt k) 1)
  (* (sqrt k) 1)
  (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (* (cbrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (sqrt (cbrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (sqrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (sqrt (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (sqrt k) 1)
  (real->posit16 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (- 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))))
  (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (- 0 (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))))
  (- 0 (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))))
  (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))
  (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))
  (- 0 (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (- (log 1) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))))
  (- (log 1) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))))
  (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))
  (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))
  (- (log 1) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (log (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (exp (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (* 1 1) 1) (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (* (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (- 1)
  (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))
  (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))
  (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))
  (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt 1) (* (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 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (pow (* n (* 2 PI)) 1/2))
  (/ 1 (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ 1 (pow (* n (* 2 PI)) 1/2))
  (/ 1 (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ 1 (pow n (- 1/2 (/ k 2))))
  (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ 1 (* (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)))))
  (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 1)
  (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1)
  (/ 1 (pow (* n (* 2 PI)) 1/2))
  (/ 1 (pow (* n (* 2 PI)) 1/2))
  (/ 1 (pow n (- 1/2 (/ k 2))))
  (/ 1 (* (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)))))
  (/ 1 1)
  (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt 1))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1)
  (/ 1 (pow (* n (* 2 PI)) 1/2))
  (real->posit16 (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 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 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
  (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
  (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
  (+ (* 1/8 (/ (* (pow (log (* 2 PI)) 2) (pow k 2)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/2 (/ (* k (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/2 (/ (* (log n) k) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/4 (/ (* (log (* 2 PI)) (* (log n) (pow k 2))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* 1/8 (/ (* (pow (log n) 2) (pow k 2)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))))))
  (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))
  (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))
21.079 * * [simplify]: iteration 1: (325 enodes)
21.214 * * [simplify]: iteration 2: (872 enodes)
21.940 * * [simplify]: Extracting #0: cost 82 inf + 0
21.942 * * [simplify]: Extracting #1: cost 465 inf + 2
21.949 * * [simplify]: Extracting #2: cost 690 inf + 11658
21.977 * * [simplify]: Extracting #3: cost 513 inf + 96142
22.024 * * [simplify]: Extracting #4: cost 340 inf + 174668
22.077 * * [simplify]: Extracting #5: cost 176 inf + 232712
22.138 * * [simplify]: Extracting #6: cost 76 inf + 278204
22.244 * * [simplify]: Extracting #7: cost 19 inf + 303975
22.324 * * [simplify]: Extracting #8: cost 0 inf + 315590
22.434 * * [simplify]: Extracting #9: cost 0 inf + 313240
22.513 * * [simplify]: Extracting #10: cost 0 inf + 312810
22.590 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ k 2))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* PI 2) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* PI 2) n)
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (- (/ k 2)))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* PI 2) (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* n (* n n)) (* (* (* PI PI) 8) PI))
  (* (* (* 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))
  (* (sqrt n) (* PI 2))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))))
  (exp (/ (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) (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)))))
  (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (cbrt (/ (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) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (* (cbrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (sqrt k))
  (* (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))
  (/ (sqrt k) (sqrt (* (* PI 2) n)))
  (/ (sqrt k) (sqrt (* (* PI 2) n)))
  (/ (sqrt k) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt k)
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (sqrt k) (sqrt (* (* PI 2) n)))
  (/ (sqrt k) (sqrt (* (* PI 2) n)))
  (/ (sqrt k) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt k)
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (sqrt k) (sqrt (* (* PI 2) n)))
  (/ (sqrt k) (sqrt (* (* PI 2) n)))
  (/ (sqrt k) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt k)
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (sqrt k)
  (sqrt k)
  (/ (sqrt k) (sqrt (* (* PI 2) n)))
  (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (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 2))))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt k)
  (real->posit16 (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (- (- 1/2 (/ k 2)))
  (* (- (- 1/2 (/ k 2))) (log (* (* PI 2) n)))
  (* (- (- 1/2 (/ k 2))) (log (* (* PI 2) n)))
  (* (- (- 1/2 (/ k 2))) (log (* (* PI 2) n)))
  (* (- (- 1/2 (/ k 2))) (log (* (* PI 2) n)))
  (* (- (- 1/2 (/ k 2))) (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))) (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))) (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)))
  (exp (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (* (cbrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (cbrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (* (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 (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  -1
  (- (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ 1 (sqrt (* (* PI 2) n)))
  (/ 1 (pow (* (* PI 2) n) (- (/ k 2))))
  (/ 1 (sqrt (* (* PI 2) n)))
  (/ 1 (pow (* (* PI 2) n) (- (/ k 2))))
  (/ 1 (pow n (- 1/2 (/ k 2))))
  (/ 1 (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  1
  (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ 1 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (sqrt (* (* PI 2) n)))
  (/ 1 (pow (* (* PI 2) n) (- (/ k 2))))
  (/ 1 (sqrt (* (* PI 2) n)))
  (/ 1 (pow (* (* PI 2) n) (- (/ k 2))))
  (/ 1 (pow n (- 1/2 (/ k 2))))
  (/ 1 (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  1
  (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ 1 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (sqrt (* (* PI 2) n)))
  (/ 1 (pow (* (* PI 2) n) (- (/ k 2))))
  (/ 1 (sqrt (* (* PI 2) n)))
  (/ 1 (pow (* (* PI 2) n) (- (/ k 2))))
  (/ 1 (pow n (- 1/2 (/ k 2))))
  (/ 1 (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  1
  (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ 1 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (/ 1 (sqrt (* (* PI 2) n)))
  (/ 1 (sqrt (* (* PI 2) n)))
  (/ 1 (pow n (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  1
  (/ 1 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (/ 1 (sqrt (* (* PI 2) n)))
  (real->posit16 (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (- (+ (+ (+ (* (* (sqrt (* (* PI 2) n)) (log (* PI 2))) (* (* (* k k) (log n)) 1/4)) (* (* 1/8 (sqrt (* (* PI 2) n))) (* (log n) (* (* k k) (log n))))) (sqrt (* (* PI 2) n))) (* 1/8 (* (* (* k (log (* PI 2))) (* k (log (* PI 2)))) (sqrt (* (* PI 2) n))))) (* 1/2 (* k (+ (* (log n) (sqrt (* (* PI 2) n))) (* (sqrt (* (* PI 2) n)) (log (* PI 2)))))))
  (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2))))
  (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (+ (- (/ (* (sqrt 2) +nan.0) (/ PI (* (* (* 1/2 k) (log (* PI 2))) k)))) (- (* (/ (sqrt 1/2) (/ PI (* k k))) +nan.0) (- (* +nan.0 (/ n (/ (/ (* PI PI) (sqrt 1/2)) k))) (* +nan.0 (- (* (/ (log n) PI) (* (* (sqrt 2) (* k k)) 1/2)) (/ (sqrt 1/2) (/ PI k)))))))
  (- (/ (- +nan.0) (* (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2)))) k)) (+ (/ (- +nan.0) (* (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2)))) (* k k))) (/ +nan.0 (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2)))))))
  (- (+ (- (/ (/ +nan.0 (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2))))) (* k k)) (/ (/ +nan.0 (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2))))) k)) (/ +nan.0 (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2)))))))
  (+ (+ (/ (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (/ (sqrt (* (* PI 2) n)) (* k k))) (* 1/2 (+ (/ k (/ (sqrt (* (* PI 2) n)) (log (* PI 2)))) (/ (* (log n) k) (sqrt (* (* PI 2) n)))))) (+ (+ (/ (* (log (* PI 2)) 1/4) (/ (sqrt (* (* PI 2) n)) (* (* k k) (log n)))) (/ (* 1/8 (* (log n) (* (* k k) (log n)))) (sqrt (* (* PI 2) n)))) (/ 1 (sqrt (* (* PI 2) n)))))
  (exp (* (- (log (* (* PI 2) n))) (- 1/2 (* k 1/2))))
  (exp (* (- (- 1/2 (* k 1/2))) (- (log (* PI -2)) (log (/ -1 n)))))
22.621 * * * [progress]: adding candidates to table
24.709 * * [progress]: iteration 4 / 4
24.709 * * * [progress]: picking best candidate
24.740 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
24.740 * * * [progress]: localizing error
24.774 * * * [progress]: generating rewritten candidates
24.774 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
24.786 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
24.798 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
24.807 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
24.836 * * * [progress]: generating series expansions
24.836 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
24.837 * [backup-simplify]: Simplify (pow n (- 1/2 (/ k 2))) into (pow n (- 1/2 (* 1/2 k)))
24.837 * [approximate]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in (n k) around 0
24.837 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
24.837 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
24.837 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
24.837 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.837 * [taylor]: Taking taylor expansion of 1/2 in k
24.837 * [backup-simplify]: Simplify 1/2 into 1/2
24.837 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.837 * [taylor]: Taking taylor expansion of 1/2 in k
24.837 * [backup-simplify]: Simplify 1/2 into 1/2
24.837 * [taylor]: Taking taylor expansion of k in k
24.837 * [backup-simplify]: Simplify 0 into 0
24.837 * [backup-simplify]: Simplify 1 into 1
24.837 * [taylor]: Taking taylor expansion of (log n) in k
24.837 * [taylor]: Taking taylor expansion of n in k
24.837 * [backup-simplify]: Simplify n into n
24.837 * [backup-simplify]: Simplify (log n) into (log n)
24.838 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.839 * [backup-simplify]: Simplify (- 0) into 0
24.839 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.839 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
24.839 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
24.839 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
24.839 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
24.839 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
24.839 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
24.839 * [taylor]: Taking taylor expansion of 1/2 in n
24.839 * [backup-simplify]: Simplify 1/2 into 1/2
24.839 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
24.839 * [taylor]: Taking taylor expansion of 1/2 in n
24.839 * [backup-simplify]: Simplify 1/2 into 1/2
24.839 * [taylor]: Taking taylor expansion of k in n
24.839 * [backup-simplify]: Simplify k into k
24.840 * [taylor]: Taking taylor expansion of (log n) in n
24.840 * [taylor]: Taking taylor expansion of n in n
24.840 * [backup-simplify]: Simplify 0 into 0
24.840 * [backup-simplify]: Simplify 1 into 1
24.840 * [backup-simplify]: Simplify (log 1) into 0
24.840 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
24.840 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
24.840 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
24.841 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
24.841 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
24.841 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
24.841 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
24.841 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
24.841 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
24.841 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
24.841 * [taylor]: Taking taylor expansion of 1/2 in n
24.841 * [backup-simplify]: Simplify 1/2 into 1/2
24.841 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
24.841 * [taylor]: Taking taylor expansion of 1/2 in n
24.841 * [backup-simplify]: Simplify 1/2 into 1/2
24.841 * [taylor]: Taking taylor expansion of k in n
24.841 * [backup-simplify]: Simplify k into k
24.841 * [taylor]: Taking taylor expansion of (log n) in n
24.841 * [taylor]: Taking taylor expansion of n in n
24.842 * [backup-simplify]: Simplify 0 into 0
24.842 * [backup-simplify]: Simplify 1 into 1
24.842 * [backup-simplify]: Simplify (log 1) into 0
24.842 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
24.842 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
24.842 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
24.843 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
24.843 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
24.843 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
24.843 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
24.843 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
24.843 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
24.843 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.843 * [taylor]: Taking taylor expansion of 1/2 in k
24.843 * [backup-simplify]: Simplify 1/2 into 1/2
24.843 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.843 * [taylor]: Taking taylor expansion of 1/2 in k
24.843 * [backup-simplify]: Simplify 1/2 into 1/2
24.843 * [taylor]: Taking taylor expansion of k in k
24.843 * [backup-simplify]: Simplify 0 into 0
24.843 * [backup-simplify]: Simplify 1 into 1
24.843 * [taylor]: Taking taylor expansion of (log n) in k
24.843 * [taylor]: Taking taylor expansion of n in k
24.843 * [backup-simplify]: Simplify n into n
24.843 * [backup-simplify]: Simplify (log n) into (log n)
24.844 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.844 * [backup-simplify]: Simplify (- 0) into 0
24.845 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.845 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
24.845 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
24.845 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2)
24.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
24.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
24.847 * [backup-simplify]: Simplify (- 0) into 0
24.848 * [backup-simplify]: Simplify (+ 0 0) into 0
24.848 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
24.848 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0
24.849 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
24.849 * [taylor]: Taking taylor expansion of 0 in k
24.849 * [backup-simplify]: Simplify 0 into 0
24.849 * [backup-simplify]: Simplify 0 into 0
24.850 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
24.851 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
24.851 * [backup-simplify]: Simplify (- 1/2) into -1/2
24.852 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
24.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n)))
24.853 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
24.853 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n)))
24.861 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
24.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
24.862 * [backup-simplify]: Simplify (- 0) into 0
24.862 * [backup-simplify]: Simplify (+ 0 0) into 0
24.862 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
24.863 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
24.864 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
24.864 * [taylor]: Taking taylor expansion of 0 in k
24.864 * [backup-simplify]: Simplify 0 into 0
24.864 * [backup-simplify]: Simplify 0 into 0
24.864 * [backup-simplify]: Simplify 0 into 0
24.865 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
24.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
24.866 * [backup-simplify]: Simplify (- 0) into 0
24.866 * [backup-simplify]: Simplify (+ 0 0) into 0
24.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0
24.867 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
24.867 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
24.867 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
24.868 * [backup-simplify]: Simplify (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
24.868 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
24.868 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
24.868 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k
24.868 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k
24.868 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
24.868 * [taylor]: Taking taylor expansion of 1/2 in k
24.868 * [backup-simplify]: Simplify 1/2 into 1/2
24.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
24.868 * [taylor]: Taking taylor expansion of 1/2 in k
24.868 * [backup-simplify]: Simplify 1/2 into 1/2
24.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.868 * [taylor]: Taking taylor expansion of k in k
24.868 * [backup-simplify]: Simplify 0 into 0
24.868 * [backup-simplify]: Simplify 1 into 1
24.868 * [backup-simplify]: Simplify (/ 1 1) into 1
24.868 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
24.868 * [taylor]: Taking taylor expansion of (/ 1 n) in k
24.868 * [taylor]: Taking taylor expansion of n in k
24.868 * [backup-simplify]: Simplify n into n
24.868 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
24.868 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
24.869 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
24.869 * [backup-simplify]: Simplify (- 1/2) into -1/2
24.869 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
24.869 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
24.869 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
24.869 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
24.869 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
24.869 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
24.869 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
24.869 * [taylor]: Taking taylor expansion of 1/2 in n
24.869 * [backup-simplify]: Simplify 1/2 into 1/2
24.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
24.869 * [taylor]: Taking taylor expansion of 1/2 in n
24.869 * [backup-simplify]: Simplify 1/2 into 1/2
24.869 * [taylor]: Taking taylor expansion of (/ 1 k) in n
24.869 * [taylor]: Taking taylor expansion of k in n
24.869 * [backup-simplify]: Simplify k into k
24.869 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
24.869 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
24.869 * [taylor]: Taking taylor expansion of (/ 1 n) in n
24.869 * [taylor]: Taking taylor expansion of n in n
24.869 * [backup-simplify]: Simplify 0 into 0
24.870 * [backup-simplify]: Simplify 1 into 1
24.870 * [backup-simplify]: Simplify (/ 1 1) into 1
24.870 * [backup-simplify]: Simplify (log 1) into 0
24.870 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
24.870 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
24.870 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
24.871 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
24.871 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
24.871 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
24.871 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
24.871 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
24.871 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
24.871 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
24.871 * [taylor]: Taking taylor expansion of 1/2 in n
24.871 * [backup-simplify]: Simplify 1/2 into 1/2
24.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
24.871 * [taylor]: Taking taylor expansion of 1/2 in n
24.871 * [backup-simplify]: Simplify 1/2 into 1/2
24.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n
24.871 * [taylor]: Taking taylor expansion of k in n
24.871 * [backup-simplify]: Simplify k into k
24.871 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
24.871 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
24.871 * [taylor]: Taking taylor expansion of (/ 1 n) in n
24.871 * [taylor]: Taking taylor expansion of n in n
24.871 * [backup-simplify]: Simplify 0 into 0
24.871 * [backup-simplify]: Simplify 1 into 1
24.871 * [backup-simplify]: Simplify (/ 1 1) into 1
24.872 * [backup-simplify]: Simplify (log 1) into 0
24.872 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
24.872 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
24.872 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
24.872 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
24.872 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
24.872 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
24.872 * [taylor]: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k
24.872 * [taylor]: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k
24.872 * [taylor]: Taking taylor expansion of -1 in k
24.872 * [backup-simplify]: Simplify -1 into -1
24.872 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k
24.872 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
24.872 * [taylor]: Taking taylor expansion of 1/2 in k
24.872 * [backup-simplify]: Simplify 1/2 into 1/2
24.872 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
24.872 * [taylor]: Taking taylor expansion of 1/2 in k
24.872 * [backup-simplify]: Simplify 1/2 into 1/2
24.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.873 * [taylor]: Taking taylor expansion of k in k
24.873 * [backup-simplify]: Simplify 0 into 0
24.873 * [backup-simplify]: Simplify 1 into 1
24.873 * [backup-simplify]: Simplify (/ 1 1) into 1
24.873 * [taylor]: Taking taylor expansion of (log n) in k
24.873 * [taylor]: Taking taylor expansion of n in k
24.873 * [backup-simplify]: Simplify n into n
24.873 * [backup-simplify]: Simplify (log n) into (log n)
24.873 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
24.873 * [backup-simplify]: Simplify (- 1/2) into -1/2
24.874 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
24.874 * [backup-simplify]: Simplify (* -1/2 (log n)) into (* -1/2 (log n))
24.874 * [backup-simplify]: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n))
24.874 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
24.874 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
24.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
24.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
24.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
24.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
24.876 * [backup-simplify]: Simplify (- 0) into 0
24.876 * [backup-simplify]: Simplify (+ 0 0) into 0
24.876 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
24.877 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
24.877 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
24.877 * [taylor]: Taking taylor expansion of 0 in k
24.877 * [backup-simplify]: Simplify 0 into 0
24.877 * [backup-simplify]: Simplify 0 into 0
24.877 * [backup-simplify]: Simplify 0 into 0
24.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
24.879 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
24.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
24.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
24.880 * [backup-simplify]: Simplify (- 0) into 0
24.880 * [backup-simplify]: Simplify (+ 0 0) into 0
24.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
24.881 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
24.882 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
24.882 * [taylor]: Taking taylor expansion of 0 in k
24.882 * [backup-simplify]: Simplify 0 into 0
24.882 * [backup-simplify]: Simplify 0 into 0
24.882 * [backup-simplify]: Simplify 0 into 0
24.882 * [backup-simplify]: Simplify 0 into 0
24.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
24.885 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
24.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
24.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
24.886 * [backup-simplify]: Simplify (- 0) into 0
24.887 * [backup-simplify]: Simplify (+ 0 0) into 0
24.887 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
24.888 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
24.889 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
24.889 * [taylor]: Taking taylor expansion of 0 in k
24.889 * [backup-simplify]: Simplify 0 into 0
24.889 * [backup-simplify]: Simplify 0 into 0
24.889 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n)))))
24.889 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
24.889 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
24.889 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
24.889 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k
24.889 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k
24.889 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
24.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
24.889 * [taylor]: Taking taylor expansion of 1/2 in k
24.889 * [backup-simplify]: Simplify 1/2 into 1/2
24.889 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.889 * [taylor]: Taking taylor expansion of k in k
24.889 * [backup-simplify]: Simplify 0 into 0
24.889 * [backup-simplify]: Simplify 1 into 1
24.890 * [backup-simplify]: Simplify (/ 1 1) into 1
24.890 * [taylor]: Taking taylor expansion of 1/2 in k
24.890 * [backup-simplify]: Simplify 1/2 into 1/2
24.890 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
24.890 * [taylor]: Taking taylor expansion of (/ -1 n) in k
24.890 * [taylor]: Taking taylor expansion of -1 in k
24.890 * [backup-simplify]: Simplify -1 into -1
24.890 * [taylor]: Taking taylor expansion of n in k
24.890 * [backup-simplify]: Simplify n into n
24.890 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
24.890 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
24.891 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
24.891 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.891 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
24.891 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
24.891 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
24.891 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
24.891 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
24.891 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
24.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
24.891 * [taylor]: Taking taylor expansion of 1/2 in n
24.892 * [backup-simplify]: Simplify 1/2 into 1/2
24.892 * [taylor]: Taking taylor expansion of (/ 1 k) in n
24.892 * [taylor]: Taking taylor expansion of k in n
24.892 * [backup-simplify]: Simplify k into k
24.892 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
24.892 * [taylor]: Taking taylor expansion of 1/2 in n
24.892 * [backup-simplify]: Simplify 1/2 into 1/2
24.892 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
24.892 * [taylor]: Taking taylor expansion of (/ -1 n) in n
24.892 * [taylor]: Taking taylor expansion of -1 in n
24.892 * [backup-simplify]: Simplify -1 into -1
24.892 * [taylor]: Taking taylor expansion of n in n
24.892 * [backup-simplify]: Simplify 0 into 0
24.892 * [backup-simplify]: Simplify 1 into 1
24.892 * [backup-simplify]: Simplify (/ -1 1) into -1
24.893 * [backup-simplify]: Simplify (log -1) into (log -1)
24.893 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
24.893 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
24.894 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
24.894 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
24.895 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
24.895 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
24.895 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
24.895 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
24.895 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
24.895 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
24.895 * [taylor]: Taking taylor expansion of 1/2 in n
24.895 * [backup-simplify]: Simplify 1/2 into 1/2
24.895 * [taylor]: Taking taylor expansion of (/ 1 k) in n
24.895 * [taylor]: Taking taylor expansion of k in n
24.895 * [backup-simplify]: Simplify k into k
24.895 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
24.895 * [taylor]: Taking taylor expansion of 1/2 in n
24.895 * [backup-simplify]: Simplify 1/2 into 1/2
24.895 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
24.895 * [taylor]: Taking taylor expansion of (/ -1 n) in n
24.895 * [taylor]: Taking taylor expansion of -1 in n
24.895 * [backup-simplify]: Simplify -1 into -1
24.895 * [taylor]: Taking taylor expansion of n in n
24.895 * [backup-simplify]: Simplify 0 into 0
24.895 * [backup-simplify]: Simplify 1 into 1
24.896 * [backup-simplify]: Simplify (/ -1 1) into -1
24.896 * [backup-simplify]: Simplify (log -1) into (log -1)
24.896 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
24.896 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
24.897 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
24.898 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
24.898 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
24.898 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k
24.898 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k
24.899 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
24.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
24.899 * [taylor]: Taking taylor expansion of 1/2 in k
24.899 * [backup-simplify]: Simplify 1/2 into 1/2
24.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k
24.899 * [taylor]: Taking taylor expansion of k in k
24.899 * [backup-simplify]: Simplify 0 into 0
24.899 * [backup-simplify]: Simplify 1 into 1
24.899 * [backup-simplify]: Simplify (/ 1 1) into 1
24.899 * [taylor]: Taking taylor expansion of 1/2 in k
24.899 * [backup-simplify]: Simplify 1/2 into 1/2
24.899 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k
24.899 * [taylor]: Taking taylor expansion of (log -1) in k
24.899 * [taylor]: Taking taylor expansion of -1 in k
24.899 * [backup-simplify]: Simplify -1 into -1
24.900 * [backup-simplify]: Simplify (log -1) into (log -1)
24.900 * [taylor]: Taking taylor expansion of (log n) in k
24.900 * [taylor]: Taking taylor expansion of n in k
24.900 * [backup-simplify]: Simplify n into n
24.900 * [backup-simplify]: Simplify (log n) into (log n)
24.900 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
24.901 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.901 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
24.901 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
24.902 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
24.902 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
24.903 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
24.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
24.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
24.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
24.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
24.907 * [backup-simplify]: Simplify (+ 0 0) into 0
24.908 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
24.908 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0
24.909 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
24.910 * [taylor]: Taking taylor expansion of 0 in k
24.910 * [backup-simplify]: Simplify 0 into 0
24.910 * [backup-simplify]: Simplify 0 into 0
24.910 * [backup-simplify]: Simplify 0 into 0
24.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
24.914 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
24.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
24.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
24.915 * [backup-simplify]: Simplify (+ 0 0) into 0
24.916 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
24.917 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
24.919 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
24.919 * [taylor]: Taking taylor expansion of 0 in k
24.919 * [backup-simplify]: Simplify 0 into 0
24.919 * [backup-simplify]: Simplify 0 into 0
24.919 * [backup-simplify]: Simplify 0 into 0
24.919 * [backup-simplify]: Simplify 0 into 0
24.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
24.926 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
24.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
24.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
24.928 * [backup-simplify]: Simplify (+ 0 0) into 0
24.929 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
24.931 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
24.933 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
24.933 * [taylor]: Taking taylor expansion of 0 in k
24.933 * [backup-simplify]: Simplify 0 into 0
24.933 * [backup-simplify]: Simplify 0 into 0
24.934 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n)))))
24.934 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
24.934 * [backup-simplify]: Simplify (pow (* 2 PI) (- 1/2 (/ k 2))) into (pow (* 2 PI) (- 1/2 (* 1/2 k)))
24.934 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 k))) in (k) around 0
24.934 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 k))) in k
24.934 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) in k
24.934 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) in k
24.935 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.935 * [taylor]: Taking taylor expansion of 1/2 in k
24.935 * [backup-simplify]: Simplify 1/2 into 1/2
24.935 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.935 * [taylor]: Taking taylor expansion of 1/2 in k
24.935 * [backup-simplify]: Simplify 1/2 into 1/2
24.935 * [taylor]: Taking taylor expansion of k in k
24.935 * [backup-simplify]: Simplify 0 into 0
24.935 * [backup-simplify]: Simplify 1 into 1
24.935 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
24.935 * [taylor]: Taking taylor expansion of (* 2 PI) in k
24.935 * [taylor]: Taking taylor expansion of 2 in k
24.935 * [backup-simplify]: Simplify 2 into 2
24.935 * [taylor]: Taking taylor expansion of PI in k
24.935 * [backup-simplify]: Simplify PI into PI
24.935 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
24.936 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
24.937 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.937 * [backup-simplify]: Simplify (- 0) into 0
24.937 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.939 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
24.941 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
24.941 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 k))) in k
24.941 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) in k
24.941 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) in k
24.941 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
24.941 * [taylor]: Taking taylor expansion of 1/2 in k
24.941 * [backup-simplify]: Simplify 1/2 into 1/2
24.941 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
24.941 * [taylor]: Taking taylor expansion of 1/2 in k
24.941 * [backup-simplify]: Simplify 1/2 into 1/2
24.941 * [taylor]: Taking taylor expansion of k in k
24.941 * [backup-simplify]: Simplify 0 into 0
24.941 * [backup-simplify]: Simplify 1 into 1
24.941 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
24.941 * [taylor]: Taking taylor expansion of (* 2 PI) in k
24.942 * [taylor]: Taking taylor expansion of 2 in k
24.942 * [backup-simplify]: Simplify 2 into 2
24.942 * [taylor]: Taking taylor expansion of PI in k
24.942 * [backup-simplify]: Simplify PI into PI
24.942 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
24.943 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
24.943 * [backup-simplify]: Simplify (* 1/2 0) into 0
24.944 * [backup-simplify]: Simplify (- 0) into 0
24.944 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
24.945 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
24.948 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
24.949 * [backup-simplify]: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2)
24.950 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
24.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
24.952 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
24.952 * [backup-simplify]: Simplify (- 1/2) into -1/2
24.953 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
24.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI))))
24.967 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))
24.971 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))
24.972 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
24.976 * [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
24.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
24.977 * [backup-simplify]: Simplify (- 0) into 0
24.978 * [backup-simplify]: Simplify (+ 0 0) into 0
24.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0
25.000 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))
25.005 * [backup-simplify]: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))
25.018 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))))
25.018 * [backup-simplify]: Simplify (pow (* 2 PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))
25.019 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
25.019 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) in k
25.019 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) in k
25.019 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) in k
25.019 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.019 * [taylor]: Taking taylor expansion of 1/2 in k
25.019 * [backup-simplify]: Simplify 1/2 into 1/2
25.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.019 * [taylor]: Taking taylor expansion of 1/2 in k
25.019 * [backup-simplify]: Simplify 1/2 into 1/2
25.019 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.019 * [taylor]: Taking taylor expansion of k in k
25.019 * [backup-simplify]: Simplify 0 into 0
25.019 * [backup-simplify]: Simplify 1 into 1
25.019 * [backup-simplify]: Simplify (/ 1 1) into 1
25.019 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.019 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.019 * [taylor]: Taking taylor expansion of 2 in k
25.019 * [backup-simplify]: Simplify 2 into 2
25.019 * [taylor]: Taking taylor expansion of PI in k
25.019 * [backup-simplify]: Simplify PI into PI
25.020 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.021 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.021 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.022 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.022 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.024 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
25.025 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))
25.025 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) in k
25.025 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) in k
25.025 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) in k
25.025 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.025 * [taylor]: Taking taylor expansion of 1/2 in k
25.026 * [backup-simplify]: Simplify 1/2 into 1/2
25.026 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.026 * [taylor]: Taking taylor expansion of 1/2 in k
25.026 * [backup-simplify]: Simplify 1/2 into 1/2
25.026 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.026 * [taylor]: Taking taylor expansion of k in k
25.026 * [backup-simplify]: Simplify 0 into 0
25.026 * [backup-simplify]: Simplify 1 into 1
25.026 * [backup-simplify]: Simplify (/ 1 1) into 1
25.026 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.026 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.026 * [taylor]: Taking taylor expansion of 2 in k
25.026 * [backup-simplify]: Simplify 2 into 2
25.026 * [taylor]: Taking taylor expansion of PI in k
25.026 * [backup-simplify]: Simplify PI into PI
25.027 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.028 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.028 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.028 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.029 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.031 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
25.032 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))
25.032 * [backup-simplify]: Simplify (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))
25.032 * [backup-simplify]: Simplify 0 into 0
25.032 * [backup-simplify]: Simplify 0 into 0
25.032 * [backup-simplify]: Simplify 0 into 0
25.032 * [backup-simplify]: Simplify 0 into 0
25.033 * [backup-simplify]: Simplify 0 into 0
25.033 * [backup-simplify]: Simplify 0 into 0
25.033 * [backup-simplify]: Simplify (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow (* 2 PI) (- 1/2 (* 1/2 k)))
25.034 * [backup-simplify]: Simplify (pow (* 2 PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))
25.034 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
25.034 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) in k
25.034 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) in k
25.034 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) in k
25.034 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.034 * [taylor]: Taking taylor expansion of 1/2 in k
25.034 * [backup-simplify]: Simplify 1/2 into 1/2
25.034 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.034 * [taylor]: Taking taylor expansion of k in k
25.034 * [backup-simplify]: Simplify 0 into 0
25.034 * [backup-simplify]: Simplify 1 into 1
25.035 * [backup-simplify]: Simplify (/ 1 1) into 1
25.035 * [taylor]: Taking taylor expansion of 1/2 in k
25.035 * [backup-simplify]: Simplify 1/2 into 1/2
25.035 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.035 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.035 * [taylor]: Taking taylor expansion of 2 in k
25.035 * [backup-simplify]: Simplify 2 into 2
25.035 * [taylor]: Taking taylor expansion of PI in k
25.035 * [backup-simplify]: Simplify PI into PI
25.035 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.036 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.037 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.037 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.039 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
25.040 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))
25.040 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) in k
25.040 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) in k
25.040 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) in k
25.040 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.040 * [taylor]: Taking taylor expansion of 1/2 in k
25.040 * [backup-simplify]: Simplify 1/2 into 1/2
25.040 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.041 * [taylor]: Taking taylor expansion of k in k
25.041 * [backup-simplify]: Simplify 0 into 0
25.041 * [backup-simplify]: Simplify 1 into 1
25.041 * [backup-simplify]: Simplify (/ 1 1) into 1
25.041 * [taylor]: Taking taylor expansion of 1/2 in k
25.041 * [backup-simplify]: Simplify 1/2 into 1/2
25.041 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.041 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.041 * [taylor]: Taking taylor expansion of 2 in k
25.041 * [backup-simplify]: Simplify 2 into 2
25.041 * [taylor]: Taking taylor expansion of PI in k
25.041 * [backup-simplify]: Simplify PI into PI
25.042 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.043 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.043 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.043 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.045 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
25.046 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))
25.047 * [backup-simplify]: Simplify (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))
25.047 * [backup-simplify]: Simplify 0 into 0
25.047 * [backup-simplify]: Simplify 0 into 0
25.047 * [backup-simplify]: Simplify 0 into 0
25.047 * [backup-simplify]: Simplify 0 into 0
25.047 * [backup-simplify]: Simplify 0 into 0
25.047 * [backup-simplify]: Simplify 0 into 0
25.048 * [backup-simplify]: Simplify (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow (* 2 PI) (- 1/2 (* 1/2 k)))
25.048 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
25.049 * [backup-simplify]: Simplify (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) into (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k)))
25.049 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (k) around 0
25.049 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k
25.049 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 k))) in k
25.049 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) in k
25.049 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) in k
25.049 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
25.049 * [taylor]: Taking taylor expansion of 1/2 in k
25.049 * [backup-simplify]: Simplify 1/2 into 1/2
25.049 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
25.049 * [taylor]: Taking taylor expansion of 1/2 in k
25.049 * [backup-simplify]: Simplify 1/2 into 1/2
25.049 * [taylor]: Taking taylor expansion of k in k
25.049 * [backup-simplify]: Simplify 0 into 0
25.049 * [backup-simplify]: Simplify 1 into 1
25.049 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.049 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.049 * [taylor]: Taking taylor expansion of 2 in k
25.049 * [backup-simplify]: Simplify 2 into 2
25.049 * [taylor]: Taking taylor expansion of PI in k
25.049 * [backup-simplify]: Simplify PI into PI
25.050 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.051 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.051 * [backup-simplify]: Simplify (* 1/2 0) into 0
25.051 * [backup-simplify]: Simplify (- 0) into 0
25.052 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.054 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
25.056 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
25.056 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
25.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.056 * [taylor]: Taking taylor expansion of k in k
25.056 * [backup-simplify]: Simplify 0 into 0
25.056 * [backup-simplify]: Simplify 1 into 1
25.057 * [backup-simplify]: Simplify (/ 1 1) into 1
25.057 * [backup-simplify]: Simplify (sqrt 0) into 0
25.059 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.059 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k
25.059 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 k))) in k
25.059 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) in k
25.059 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) in k
25.059 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
25.059 * [taylor]: Taking taylor expansion of 1/2 in k
25.059 * [backup-simplify]: Simplify 1/2 into 1/2
25.059 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
25.059 * [taylor]: Taking taylor expansion of 1/2 in k
25.059 * [backup-simplify]: Simplify 1/2 into 1/2
25.059 * [taylor]: Taking taylor expansion of k in k
25.059 * [backup-simplify]: Simplify 0 into 0
25.059 * [backup-simplify]: Simplify 1 into 1
25.059 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.059 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.059 * [taylor]: Taking taylor expansion of 2 in k
25.059 * [backup-simplify]: Simplify 2 into 2
25.059 * [taylor]: Taking taylor expansion of PI in k
25.059 * [backup-simplify]: Simplify PI into PI
25.060 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.061 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.061 * [backup-simplify]: Simplify (* 1/2 0) into 0
25.061 * [backup-simplify]: Simplify (- 0) into 0
25.062 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.064 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
25.066 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
25.066 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
25.066 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.066 * [taylor]: Taking taylor expansion of k in k
25.066 * [backup-simplify]: Simplify 0 into 0
25.066 * [backup-simplify]: Simplify 1 into 1
25.067 * [backup-simplify]: Simplify (/ 1 1) into 1
25.067 * [backup-simplify]: Simplify (sqrt 0) into 0
25.068 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.069 * [backup-simplify]: Simplify (* (pow (* 2 PI) 1/2) 0) into 0
25.069 * [backup-simplify]: Simplify 0 into 0
25.070 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
25.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
25.073 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
25.073 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.074 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI))))
25.090 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))
25.096 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt PI))))
25.099 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI))))
25.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.103 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
25.104 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
25.107 * [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
25.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
25.109 * [backup-simplify]: Simplify (- 0) into 0
25.110 * [backup-simplify]: Simplify (+ 0 0) into 0
25.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0
25.124 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))
25.147 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) +nan.0) (* (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))))
25.160 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))))
25.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
25.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
25.172 * [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
25.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
25.173 * [backup-simplify]: Simplify (- 0) into 0
25.174 * [backup-simplify]: Simplify (+ 0 0) into 0
25.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0
25.189 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))
25.206 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 0)))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))))))))
25.221 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))))))))
25.632 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))))) k) (- (* +nan.0 (* (sqrt 2) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI))))))))))))))
25.633 * [backup-simplify]: Simplify (/ (pow (* 2 PI) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k))
25.633 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k) around 0
25.633 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
25.633 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) in k
25.633 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) in k
25.633 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) in k
25.633 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.633 * [taylor]: Taking taylor expansion of 1/2 in k
25.633 * [backup-simplify]: Simplify 1/2 into 1/2
25.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.633 * [taylor]: Taking taylor expansion of 1/2 in k
25.633 * [backup-simplify]: Simplify 1/2 into 1/2
25.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.633 * [taylor]: Taking taylor expansion of k in k
25.633 * [backup-simplify]: Simplify 0 into 0
25.633 * [backup-simplify]: Simplify 1 into 1
25.634 * [backup-simplify]: Simplify (/ 1 1) into 1
25.634 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.634 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.634 * [taylor]: Taking taylor expansion of 2 in k
25.634 * [backup-simplify]: Simplify 2 into 2
25.634 * [taylor]: Taking taylor expansion of PI in k
25.634 * [backup-simplify]: Simplify PI into PI
25.634 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.635 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.636 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.636 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.637 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.638 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
25.638 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))
25.638 * [taylor]: Taking taylor expansion of (sqrt k) in k
25.638 * [taylor]: Taking taylor expansion of k in k
25.638 * [backup-simplify]: Simplify 0 into 0
25.638 * [backup-simplify]: Simplify 1 into 1
25.639 * [backup-simplify]: Simplify (sqrt 0) into 0
25.640 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.640 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
25.640 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) in k
25.640 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) in k
25.640 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) in k
25.640 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.640 * [taylor]: Taking taylor expansion of 1/2 in k
25.640 * [backup-simplify]: Simplify 1/2 into 1/2
25.640 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.640 * [taylor]: Taking taylor expansion of 1/2 in k
25.640 * [backup-simplify]: Simplify 1/2 into 1/2
25.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.640 * [taylor]: Taking taylor expansion of k in k
25.640 * [backup-simplify]: Simplify 0 into 0
25.640 * [backup-simplify]: Simplify 1 into 1
25.640 * [backup-simplify]: Simplify (/ 1 1) into 1
25.640 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.640 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.640 * [taylor]: Taking taylor expansion of 2 in k
25.640 * [backup-simplify]: Simplify 2 into 2
25.640 * [taylor]: Taking taylor expansion of PI in k
25.640 * [backup-simplify]: Simplify PI into PI
25.640 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.641 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.641 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.642 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.642 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.643 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
25.644 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))
25.644 * [taylor]: Taking taylor expansion of (sqrt k) in k
25.644 * [taylor]: Taking taylor expansion of k in k
25.644 * [backup-simplify]: Simplify 0 into 0
25.644 * [backup-simplify]: Simplify 1 into 1
25.644 * [backup-simplify]: Simplify (sqrt 0) into 0
25.645 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.645 * [backup-simplify]: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
25.645 * [backup-simplify]: Simplify 0 into 0
25.646 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))
25.646 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))
25.648 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
25.649 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))
25.649 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))
25.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
25.652 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))
25.652 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))
25.654 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow k 3))) (- (+ (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) k)) (- (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow k 2))))))))
25.654 * [backup-simplify]: Simplify (/ (pow (* 2 PI) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
25.654 * [approximate]: Taking taylor expansion of (/ (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k) around 0
25.654 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
25.654 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) in k
25.654 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) in k
25.654 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) in k
25.654 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.654 * [taylor]: Taking taylor expansion of 1/2 in k
25.654 * [backup-simplify]: Simplify 1/2 into 1/2
25.654 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.654 * [taylor]: Taking taylor expansion of k in k
25.654 * [backup-simplify]: Simplify 0 into 0
25.654 * [backup-simplify]: Simplify 1 into 1
25.655 * [backup-simplify]: Simplify (/ 1 1) into 1
25.655 * [taylor]: Taking taylor expansion of 1/2 in k
25.655 * [backup-simplify]: Simplify 1/2 into 1/2
25.655 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.655 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.655 * [taylor]: Taking taylor expansion of 2 in k
25.655 * [backup-simplify]: Simplify 2 into 2
25.655 * [taylor]: Taking taylor expansion of PI in k
25.655 * [backup-simplify]: Simplify PI into PI
25.655 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.656 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.656 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.656 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.657 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
25.658 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))
25.658 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
25.658 * [taylor]: Taking taylor expansion of (/ -1 k) in k
25.658 * [taylor]: Taking taylor expansion of -1 in k
25.658 * [backup-simplify]: Simplify -1 into -1
25.658 * [taylor]: Taking taylor expansion of k in k
25.658 * [backup-simplify]: Simplify 0 into 0
25.658 * [backup-simplify]: Simplify 1 into 1
25.658 * [backup-simplify]: Simplify (/ -1 1) into -1
25.658 * [backup-simplify]: Simplify (sqrt 0) into 0
25.659 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
25.660 * [backup-simplify]: Simplify (/ (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))
25.660 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
25.660 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) in k
25.660 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) in k
25.660 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) in k
25.660 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
25.660 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.660 * [taylor]: Taking taylor expansion of 1/2 in k
25.660 * [backup-simplify]: Simplify 1/2 into 1/2
25.660 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.660 * [taylor]: Taking taylor expansion of k in k
25.660 * [backup-simplify]: Simplify 0 into 0
25.660 * [backup-simplify]: Simplify 1 into 1
25.660 * [backup-simplify]: Simplify (/ 1 1) into 1
25.660 * [taylor]: Taking taylor expansion of 1/2 in k
25.660 * [backup-simplify]: Simplify 1/2 into 1/2
25.660 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.660 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.660 * [taylor]: Taking taylor expansion of 2 in k
25.660 * [backup-simplify]: Simplify 2 into 2
25.660 * [taylor]: Taking taylor expansion of PI in k
25.660 * [backup-simplify]: Simplify PI into PI
25.661 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.661 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.661 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.662 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.663 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
25.663 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))
25.663 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
25.663 * [taylor]: Taking taylor expansion of (/ -1 k) in k
25.663 * [taylor]: Taking taylor expansion of -1 in k
25.663 * [backup-simplify]: Simplify -1 into -1
25.663 * [taylor]: Taking taylor expansion of k in k
25.663 * [backup-simplify]: Simplify 0 into 0
25.663 * [backup-simplify]: Simplify 1 into 1
25.664 * [backup-simplify]: Simplify (/ -1 1) into -1
25.664 * [backup-simplify]: Simplify (sqrt 0) into 0
25.665 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
25.665 * [backup-simplify]: Simplify (/ (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))
25.665 * [backup-simplify]: Simplify (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))
25.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
25.668 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
25.669 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))))
25.669 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into (- (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))))
25.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
25.677 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))))
25.677 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into (- (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))))
25.679 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) (/ 1 (- k))) (* +nan.0 (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) into (- (+ (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (- (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow k 2))))))))
25.680 * * * * [progress]: [ 4 / 4 ] generating series at (2)
25.680 * [backup-simplify]: Simplify (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) into (* (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
25.680 * [approximate]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (n k) around 0
25.680 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
25.680 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) in k
25.680 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
25.680 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
25.680 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
25.681 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
25.681 * [taylor]: Taking taylor expansion of 1/2 in k
25.681 * [backup-simplify]: Simplify 1/2 into 1/2
25.681 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
25.681 * [taylor]: Taking taylor expansion of 1/2 in k
25.681 * [backup-simplify]: Simplify 1/2 into 1/2
25.681 * [taylor]: Taking taylor expansion of k in k
25.681 * [backup-simplify]: Simplify 0 into 0
25.681 * [backup-simplify]: Simplify 1 into 1
25.681 * [taylor]: Taking taylor expansion of (log n) in k
25.681 * [taylor]: Taking taylor expansion of n in k
25.681 * [backup-simplify]: Simplify n into n
25.681 * [backup-simplify]: Simplify (log n) into (log n)
25.681 * [backup-simplify]: Simplify (* 1/2 0) into 0
25.682 * [backup-simplify]: Simplify (- 0) into 0
25.682 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.682 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
25.682 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
25.682 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 k))) in k
25.683 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) in k
25.683 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) in k
25.683 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
25.683 * [taylor]: Taking taylor expansion of 1/2 in k
25.683 * [backup-simplify]: Simplify 1/2 into 1/2
25.683 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
25.683 * [taylor]: Taking taylor expansion of 1/2 in k
25.683 * [backup-simplify]: Simplify 1/2 into 1/2
25.683 * [taylor]: Taking taylor expansion of k in k
25.683 * [backup-simplify]: Simplify 0 into 0
25.683 * [backup-simplify]: Simplify 1 into 1
25.683 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.683 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.683 * [taylor]: Taking taylor expansion of 2 in k
25.683 * [backup-simplify]: Simplify 2 into 2
25.683 * [taylor]: Taking taylor expansion of PI in k
25.683 * [backup-simplify]: Simplify PI into PI
25.683 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.684 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.685 * [backup-simplify]: Simplify (* 1/2 0) into 0
25.685 * [backup-simplify]: Simplify (- 0) into 0
25.686 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.687 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
25.690 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
25.690 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
25.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.690 * [taylor]: Taking taylor expansion of k in k
25.690 * [backup-simplify]: Simplify 0 into 0
25.690 * [backup-simplify]: Simplify 1 into 1
25.690 * [backup-simplify]: Simplify (/ 1 1) into 1
25.691 * [backup-simplify]: Simplify (sqrt 0) into 0
25.692 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.692 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
25.692 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) in n
25.692 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
25.692 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
25.692 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
25.692 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
25.693 * [taylor]: Taking taylor expansion of 1/2 in n
25.693 * [backup-simplify]: Simplify 1/2 into 1/2
25.693 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
25.693 * [taylor]: Taking taylor expansion of 1/2 in n
25.693 * [backup-simplify]: Simplify 1/2 into 1/2
25.693 * [taylor]: Taking taylor expansion of k in n
25.693 * [backup-simplify]: Simplify k into k
25.693 * [taylor]: Taking taylor expansion of (log n) in n
25.693 * [taylor]: Taking taylor expansion of n in n
25.693 * [backup-simplify]: Simplify 0 into 0
25.693 * [backup-simplify]: Simplify 1 into 1
25.693 * [backup-simplify]: Simplify (log 1) into 0
25.693 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
25.693 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
25.693 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
25.694 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.694 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
25.694 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
25.694 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 k))) in n
25.694 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) in n
25.694 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) in n
25.694 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
25.694 * [taylor]: Taking taylor expansion of 1/2 in n
25.694 * [backup-simplify]: Simplify 1/2 into 1/2
25.694 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
25.694 * [taylor]: Taking taylor expansion of 1/2 in n
25.694 * [backup-simplify]: Simplify 1/2 into 1/2
25.694 * [taylor]: Taking taylor expansion of k in n
25.695 * [backup-simplify]: Simplify k into k
25.695 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n
25.695 * [taylor]: Taking taylor expansion of (* 2 PI) in n
25.695 * [taylor]: Taking taylor expansion of 2 in n
25.695 * [backup-simplify]: Simplify 2 into 2
25.695 * [taylor]: Taking taylor expansion of PI in n
25.695 * [backup-simplify]: Simplify PI into PI
25.695 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.696 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.696 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
25.696 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
25.696 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
25.697 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))
25.699 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k)))
25.699 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
25.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.699 * [taylor]: Taking taylor expansion of k in n
25.699 * [backup-simplify]: Simplify k into k
25.699 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.699 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
25.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
25.699 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
25.699 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) in n
25.699 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
25.699 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
25.699 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
25.699 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
25.699 * [taylor]: Taking taylor expansion of 1/2 in n
25.699 * [backup-simplify]: Simplify 1/2 into 1/2
25.699 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
25.699 * [taylor]: Taking taylor expansion of 1/2 in n
25.699 * [backup-simplify]: Simplify 1/2 into 1/2
25.699 * [taylor]: Taking taylor expansion of k in n
25.699 * [backup-simplify]: Simplify k into k
25.699 * [taylor]: Taking taylor expansion of (log n) in n
25.699 * [taylor]: Taking taylor expansion of n in n
25.700 * [backup-simplify]: Simplify 0 into 0
25.700 * [backup-simplify]: Simplify 1 into 1
25.700 * [backup-simplify]: Simplify (log 1) into 0
25.700 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
25.700 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
25.700 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
25.701 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.701 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
25.701 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
25.701 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 k))) in n
25.701 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) in n
25.701 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) in n
25.701 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
25.701 * [taylor]: Taking taylor expansion of 1/2 in n
25.701 * [backup-simplify]: Simplify 1/2 into 1/2
25.701 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
25.701 * [taylor]: Taking taylor expansion of 1/2 in n
25.701 * [backup-simplify]: Simplify 1/2 into 1/2
25.701 * [taylor]: Taking taylor expansion of k in n
25.701 * [backup-simplify]: Simplify k into k
25.701 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n
25.701 * [taylor]: Taking taylor expansion of (* 2 PI) in n
25.701 * [taylor]: Taking taylor expansion of 2 in n
25.701 * [backup-simplify]: Simplify 2 into 2
25.701 * [taylor]: Taking taylor expansion of PI in n
25.701 * [backup-simplify]: Simplify PI into PI
25.702 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.703 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.703 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
25.703 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
25.703 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
25.704 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))
25.705 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k)))
25.705 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
25.705 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.705 * [taylor]: Taking taylor expansion of k in n
25.705 * [backup-simplify]: Simplify k into k
25.706 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.706 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
25.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
25.707 * [backup-simplify]: Simplify (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) into (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k))))
25.707 * [backup-simplify]: Simplify (* (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
25.707 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
25.707 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) in k
25.707 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
25.707 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
25.707 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
25.708 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
25.708 * [taylor]: Taking taylor expansion of 1/2 in k
25.708 * [backup-simplify]: Simplify 1/2 into 1/2
25.708 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
25.708 * [taylor]: Taking taylor expansion of 1/2 in k
25.708 * [backup-simplify]: Simplify 1/2 into 1/2
25.708 * [taylor]: Taking taylor expansion of k in k
25.708 * [backup-simplify]: Simplify 0 into 0
25.708 * [backup-simplify]: Simplify 1 into 1
25.708 * [taylor]: Taking taylor expansion of (log n) in k
25.708 * [taylor]: Taking taylor expansion of n in k
25.708 * [backup-simplify]: Simplify n into n
25.708 * [backup-simplify]: Simplify (log n) into (log n)
25.708 * [backup-simplify]: Simplify (* 1/2 0) into 0
25.709 * [backup-simplify]: Simplify (- 0) into 0
25.709 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.709 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
25.709 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
25.709 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 k))) in k
25.709 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) in k
25.709 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) in k
25.709 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
25.709 * [taylor]: Taking taylor expansion of 1/2 in k
25.709 * [backup-simplify]: Simplify 1/2 into 1/2
25.709 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
25.709 * [taylor]: Taking taylor expansion of 1/2 in k
25.710 * [backup-simplify]: Simplify 1/2 into 1/2
25.710 * [taylor]: Taking taylor expansion of k in k
25.710 * [backup-simplify]: Simplify 0 into 0
25.710 * [backup-simplify]: Simplify 1 into 1
25.710 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.710 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.710 * [taylor]: Taking taylor expansion of 2 in k
25.710 * [backup-simplify]: Simplify 2 into 2
25.710 * [taylor]: Taking taylor expansion of PI in k
25.710 * [backup-simplify]: Simplify PI into PI
25.710 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.711 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.711 * [backup-simplify]: Simplify (* 1/2 0) into 0
25.712 * [backup-simplify]: Simplify (- 0) into 0
25.712 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
25.714 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
25.716 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
25.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
25.717 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.717 * [taylor]: Taking taylor expansion of k in k
25.717 * [backup-simplify]: Simplify 0 into 0
25.717 * [backup-simplify]: Simplify 1 into 1
25.717 * [backup-simplify]: Simplify (/ 1 1) into 1
25.717 * [backup-simplify]: Simplify (sqrt 0) into 0
25.719 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.720 * [backup-simplify]: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2)))
25.720 * [backup-simplify]: Simplify (* (sqrt (* PI (* n 2))) 0) into 0
25.720 * [backup-simplify]: Simplify 0 into 0
25.721 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
25.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
25.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
25.722 * [backup-simplify]: Simplify (- 0) into 0
25.723 * [backup-simplify]: Simplify (+ 0 0) into 0
25.723 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log (* 2 PI)))) into 0
25.724 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0
25.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
25.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
25.726 * [backup-simplify]: Simplify (- 0) into 0
25.726 * [backup-simplify]: Simplify (+ 0 0) into 0
25.726 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.726 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0
25.727 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
25.727 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (* 0 (pow (* 2 PI) (- 1/2 (* 1/2 k))))) into 0
25.728 * [backup-simplify]: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0
25.728 * [taylor]: Taking taylor expansion of 0 in k
25.728 * [backup-simplify]: Simplify 0 into 0
25.728 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
25.729 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
25.729 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
25.730 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.733 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI))))
25.742 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))
25.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
25.743 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
25.744 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.744 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n)))
25.744 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
25.747 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))
25.750 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
25.750 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
25.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.751 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
25.752 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
25.755 * [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
25.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
25.757 * [backup-simplify]: Simplify (- 0) into 0
25.757 * [backup-simplify]: Simplify (+ 0 0) into 0
25.758 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0
25.761 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
25.764 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
25.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
25.765 * [backup-simplify]: Simplify (- 0) into 0
25.765 * [backup-simplify]: Simplify (+ 0 0) into 0
25.766 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.766 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
25.768 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
25.769 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (- 1/2 (* 1/2 k)))))) into 0
25.770 * [backup-simplify]: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
25.770 * [taylor]: Taking taylor expansion of 0 in k
25.770 * [backup-simplify]: Simplify 0 into 0
25.770 * [backup-simplify]: Simplify 0 into 0
25.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.774 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
25.775 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
25.779 * [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
25.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
25.780 * [backup-simplify]: Simplify (- 0) into 0
25.781 * [backup-simplify]: Simplify (+ 0 0) into 0
25.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0
25.790 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))
25.791 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
25.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
25.792 * [backup-simplify]: Simplify (- 0) into 0
25.792 * [backup-simplify]: Simplify (+ 0 0) into 0
25.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0
25.793 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
25.799 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))
25.804 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))))
25.806 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))))
25.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
25.808 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
25.813 * [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
25.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
25.815 * [backup-simplify]: Simplify (- 0) into 0
25.815 * [backup-simplify]: Simplify (+ 0 0) into 0
25.817 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0
25.819 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
25.825 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
25.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
25.826 * [backup-simplify]: Simplify (- 0) into 0
25.827 * [backup-simplify]: Simplify (+ 0 0) into 0
25.827 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.828 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0
25.830 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
25.832 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (- 1/2 (* 1/2 k))))))) into 0
25.833 * [backup-simplify]: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
25.833 * [taylor]: Taking taylor expansion of 0 in k
25.833 * [backup-simplify]: Simplify 0 into 0
25.833 * [backup-simplify]: Simplify 0 into 0
25.833 * [backup-simplify]: Simplify 0 into 0
25.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
25.837 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
25.842 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
25.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
25.843 * [backup-simplify]: Simplify (- 0) into 0
25.843 * [backup-simplify]: Simplify (+ 0 0) into 0
25.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0
25.854 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))
25.856 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
25.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
25.857 * [backup-simplify]: Simplify (- 0) into 0
25.857 * [backup-simplify]: Simplify (+ 0 0) into 0
25.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0
25.859 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3)))
25.875 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI))))))))
25.894 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))))))))))))
25.906 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))))))))))))
25.922 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) (* k 1)) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))))))))))))))))))))))
25.923 * [backup-simplify]: Simplify (* (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) (/ (pow (* 2 PI) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
25.924 * [approximate]: Taking taylor expansion of (* (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (n k) around 0
25.924 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
25.924 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
25.924 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) in k
25.924 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) in k
25.924 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) in k
25.924 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.924 * [taylor]: Taking taylor expansion of 1/2 in k
25.924 * [backup-simplify]: Simplify 1/2 into 1/2
25.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.924 * [taylor]: Taking taylor expansion of 1/2 in k
25.924 * [backup-simplify]: Simplify 1/2 into 1/2
25.924 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.924 * [taylor]: Taking taylor expansion of k in k
25.924 * [backup-simplify]: Simplify 0 into 0
25.924 * [backup-simplify]: Simplify 1 into 1
25.924 * [backup-simplify]: Simplify (/ 1 1) into 1
25.924 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.924 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.924 * [taylor]: Taking taylor expansion of 2 in k
25.924 * [backup-simplify]: Simplify 2 into 2
25.925 * [taylor]: Taking taylor expansion of PI in k
25.925 * [backup-simplify]: Simplify PI into PI
25.925 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.926 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.926 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.927 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.927 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.929 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
25.930 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))
25.930 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
25.930 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k
25.930 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k
25.930 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.930 * [taylor]: Taking taylor expansion of 1/2 in k
25.930 * [backup-simplify]: Simplify 1/2 into 1/2
25.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.930 * [taylor]: Taking taylor expansion of 1/2 in k
25.930 * [backup-simplify]: Simplify 1/2 into 1/2
25.930 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.930 * [taylor]: Taking taylor expansion of k in k
25.930 * [backup-simplify]: Simplify 0 into 0
25.930 * [backup-simplify]: Simplify 1 into 1
25.931 * [backup-simplify]: Simplify (/ 1 1) into 1
25.931 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
25.931 * [taylor]: Taking taylor expansion of (/ 1 n) in k
25.931 * [taylor]: Taking taylor expansion of n in k
25.931 * [backup-simplify]: Simplify n into n
25.931 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
25.931 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
25.931 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.932 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.932 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.932 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
25.932 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
25.933 * [taylor]: Taking taylor expansion of (sqrt k) in k
25.933 * [taylor]: Taking taylor expansion of k in k
25.933 * [backup-simplify]: Simplify 0 into 0
25.933 * [backup-simplify]: Simplify 1 into 1
25.933 * [backup-simplify]: Simplify (sqrt 0) into 0
25.934 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.934 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
25.934 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
25.935 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) in n
25.935 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) in n
25.935 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) in n
25.935 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.935 * [taylor]: Taking taylor expansion of 1/2 in n
25.935 * [backup-simplify]: Simplify 1/2 into 1/2
25.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.935 * [taylor]: Taking taylor expansion of 1/2 in n
25.935 * [backup-simplify]: Simplify 1/2 into 1/2
25.935 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.935 * [taylor]: Taking taylor expansion of k in n
25.935 * [backup-simplify]: Simplify k into k
25.935 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.935 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n
25.935 * [taylor]: Taking taylor expansion of (* 2 PI) in n
25.935 * [taylor]: Taking taylor expansion of 2 in n
25.935 * [backup-simplify]: Simplify 2 into 2
25.935 * [taylor]: Taking taylor expansion of PI in n
25.935 * [backup-simplify]: Simplify PI into PI
25.936 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.936 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.937 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.937 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.937 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.938 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))
25.939 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))
25.939 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
25.939 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
25.939 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
25.939 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.939 * [taylor]: Taking taylor expansion of 1/2 in n
25.939 * [backup-simplify]: Simplify 1/2 into 1/2
25.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.939 * [taylor]: Taking taylor expansion of 1/2 in n
25.939 * [backup-simplify]: Simplify 1/2 into 1/2
25.939 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.939 * [taylor]: Taking taylor expansion of k in n
25.939 * [backup-simplify]: Simplify k into k
25.939 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.939 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
25.939 * [taylor]: Taking taylor expansion of (/ 1 n) in n
25.939 * [taylor]: Taking taylor expansion of n in n
25.939 * [backup-simplify]: Simplify 0 into 0
25.939 * [backup-simplify]: Simplify 1 into 1
25.940 * [backup-simplify]: Simplify (/ 1 1) into 1
25.940 * [backup-simplify]: Simplify (log 1) into 0
25.940 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.940 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.941 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.941 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.941 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
25.941 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
25.941 * [taylor]: Taking taylor expansion of (sqrt k) in n
25.941 * [taylor]: Taking taylor expansion of k in n
25.941 * [backup-simplify]: Simplify k into k
25.941 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
25.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
25.941 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
25.941 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
25.941 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) in n
25.941 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) in n
25.941 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) in n
25.941 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.941 * [taylor]: Taking taylor expansion of 1/2 in n
25.941 * [backup-simplify]: Simplify 1/2 into 1/2
25.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.941 * [taylor]: Taking taylor expansion of 1/2 in n
25.941 * [backup-simplify]: Simplify 1/2 into 1/2
25.941 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.941 * [taylor]: Taking taylor expansion of k in n
25.941 * [backup-simplify]: Simplify k into k
25.941 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.942 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n
25.942 * [taylor]: Taking taylor expansion of (* 2 PI) in n
25.942 * [taylor]: Taking taylor expansion of 2 in n
25.942 * [backup-simplify]: Simplify 2 into 2
25.942 * [taylor]: Taking taylor expansion of PI in n
25.942 * [backup-simplify]: Simplify PI into PI
25.942 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.942 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.943 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.943 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.943 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.943 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))
25.944 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))
25.944 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
25.944 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
25.944 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
25.944 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
25.944 * [taylor]: Taking taylor expansion of 1/2 in n
25.944 * [backup-simplify]: Simplify 1/2 into 1/2
25.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
25.944 * [taylor]: Taking taylor expansion of 1/2 in n
25.944 * [backup-simplify]: Simplify 1/2 into 1/2
25.944 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.944 * [taylor]: Taking taylor expansion of k in n
25.944 * [backup-simplify]: Simplify k into k
25.944 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.944 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
25.944 * [taylor]: Taking taylor expansion of (/ 1 n) in n
25.944 * [taylor]: Taking taylor expansion of n in n
25.944 * [backup-simplify]: Simplify 0 into 0
25.944 * [backup-simplify]: Simplify 1 into 1
25.945 * [backup-simplify]: Simplify (/ 1 1) into 1
25.945 * [backup-simplify]: Simplify (log 1) into 0
25.945 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
25.945 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
25.945 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
25.945 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.945 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
25.945 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
25.945 * [taylor]: Taking taylor expansion of (sqrt k) in n
25.945 * [taylor]: Taking taylor expansion of k in n
25.946 * [backup-simplify]: Simplify k into k
25.946 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
25.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
25.946 * [backup-simplify]: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))
25.947 * [backup-simplify]: Simplify (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) into (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
25.947 * [taylor]: Taking taylor expansion of (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
25.947 * [taylor]: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) in k
25.947 * [taylor]: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k
25.947 * [taylor]: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k
25.947 * [taylor]: Taking taylor expansion of -1 in k
25.947 * [backup-simplify]: Simplify -1 into -1
25.947 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k
25.947 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.947 * [taylor]: Taking taylor expansion of 1/2 in k
25.947 * [backup-simplify]: Simplify 1/2 into 1/2
25.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.947 * [taylor]: Taking taylor expansion of 1/2 in k
25.947 * [backup-simplify]: Simplify 1/2 into 1/2
25.947 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.947 * [taylor]: Taking taylor expansion of k in k
25.947 * [backup-simplify]: Simplify 0 into 0
25.947 * [backup-simplify]: Simplify 1 into 1
25.947 * [backup-simplify]: Simplify (/ 1 1) into 1
25.947 * [taylor]: Taking taylor expansion of (log n) in k
25.947 * [taylor]: Taking taylor expansion of n in k
25.947 * [backup-simplify]: Simplify n into n
25.947 * [backup-simplify]: Simplify (log n) into (log n)
25.948 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.948 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.948 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.948 * [backup-simplify]: Simplify (* -1/2 (log n)) into (* -1/2 (log n))
25.948 * [backup-simplify]: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n))
25.948 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
25.948 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) in k
25.948 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) in k
25.949 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) in k
25.949 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
25.949 * [taylor]: Taking taylor expansion of 1/2 in k
25.949 * [backup-simplify]: Simplify 1/2 into 1/2
25.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
25.949 * [taylor]: Taking taylor expansion of 1/2 in k
25.949 * [backup-simplify]: Simplify 1/2 into 1/2
25.949 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.949 * [taylor]: Taking taylor expansion of k in k
25.949 * [backup-simplify]: Simplify 0 into 0
25.949 * [backup-simplify]: Simplify 1 into 1
25.949 * [backup-simplify]: Simplify (/ 1 1) into 1
25.949 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
25.949 * [taylor]: Taking taylor expansion of (* 2 PI) in k
25.949 * [taylor]: Taking taylor expansion of 2 in k
25.949 * [backup-simplify]: Simplify 2 into 2
25.949 * [taylor]: Taking taylor expansion of PI in k
25.949 * [backup-simplify]: Simplify PI into PI
25.949 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
25.950 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
25.950 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
25.950 * [backup-simplify]: Simplify (- 1/2) into -1/2
25.951 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
25.952 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
25.952 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))
25.953 * [taylor]: Taking taylor expansion of (sqrt k) in k
25.953 * [taylor]: Taking taylor expansion of k in k
25.953 * [backup-simplify]: Simplify 0 into 0
25.953 * [backup-simplify]: Simplify 1 into 1
25.953 * [backup-simplify]: Simplify (sqrt 0) into 0
25.954 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.955 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))
25.955 * [backup-simplify]: Simplify (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
25.955 * [backup-simplify]: Simplify 0 into 0
25.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
25.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
25.959 * [backup-simplify]: Simplify (- 0) into 0
25.959 * [backup-simplify]: Simplify (+ 0 0) into 0
25.960 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.960 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
25.960 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
25.961 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
25.962 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
25.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
25.962 * [backup-simplify]: Simplify (- 0) into 0
25.963 * [backup-simplify]: Simplify (+ 0 0) into 0
25.963 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0
25.964 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0
25.965 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0
25.965 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (sqrt k))) into 0
25.965 * [taylor]: Taking taylor expansion of 0 in k
25.965 * [backup-simplify]: Simplify 0 into 0
25.965 * [backup-simplify]: Simplify 0 into 0
25.966 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into 0
25.966 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))
25.967 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))
25.967 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
25.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
25.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
25.970 * [backup-simplify]: Simplify (- 0) into 0
25.971 * [backup-simplify]: Simplify (+ 0 0) into 0
25.971 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.971 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
25.972 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
25.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
25.974 * [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
25.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
25.975 * [backup-simplify]: Simplify (- 0) into 0
25.975 * [backup-simplify]: Simplify (+ 0 0) into 0
25.976 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0
25.977 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
25.978 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0
25.979 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
25.979 * [taylor]: Taking taylor expansion of 0 in k
25.979 * [backup-simplify]: Simplify 0 into 0
25.979 * [backup-simplify]: Simplify 0 into 0
25.979 * [backup-simplify]: Simplify 0 into 0
25.981 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
25.981 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into 0
25.982 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))
25.983 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))
25.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
25.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.986 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
25.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
25.987 * [backup-simplify]: Simplify (- 0) into 0
25.988 * [backup-simplify]: Simplify (+ 0 0) into 0
25.988 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.989 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
25.990 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
25.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
25.993 * [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
25.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
25.994 * [backup-simplify]: Simplify (- 0) into 0
25.995 * [backup-simplify]: Simplify (+ 0 0) into 0
25.995 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0
25.997 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
25.998 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))))) into 0
25.999 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
25.999 * [taylor]: Taking taylor expansion of 0 in k
25.999 * [backup-simplify]: Simplify 0 into 0
25.999 * [backup-simplify]: Simplify 0 into 0
25.999 * [backup-simplify]: Simplify 0 into 0
25.999 * [backup-simplify]: Simplify 0 into 0
26.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
26.002 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
26.003 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))
26.004 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))))
26.006 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3))))))))
26.007 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) (/ (pow (* 2 PI) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
26.007 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (n k) around 0
26.007 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
26.007 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) in k
26.007 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
26.007 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k
26.007 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k
26.007 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
26.007 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.007 * [taylor]: Taking taylor expansion of 1/2 in k
26.007 * [backup-simplify]: Simplify 1/2 into 1/2
26.007 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.007 * [taylor]: Taking taylor expansion of k in k
26.007 * [backup-simplify]: Simplify 0 into 0
26.007 * [backup-simplify]: Simplify 1 into 1
26.008 * [backup-simplify]: Simplify (/ 1 1) into 1
26.008 * [taylor]: Taking taylor expansion of 1/2 in k
26.008 * [backup-simplify]: Simplify 1/2 into 1/2
26.008 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
26.008 * [taylor]: Taking taylor expansion of (/ -1 n) in k
26.008 * [taylor]: Taking taylor expansion of -1 in k
26.008 * [backup-simplify]: Simplify -1 into -1
26.008 * [taylor]: Taking taylor expansion of n in k
26.008 * [backup-simplify]: Simplify n into n
26.008 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
26.008 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
26.009 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.009 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.009 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
26.009 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
26.009 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) in k
26.009 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) in k
26.009 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) in k
26.009 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
26.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.009 * [taylor]: Taking taylor expansion of 1/2 in k
26.009 * [backup-simplify]: Simplify 1/2 into 1/2
26.009 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.009 * [taylor]: Taking taylor expansion of k in k
26.009 * [backup-simplify]: Simplify 0 into 0
26.010 * [backup-simplify]: Simplify 1 into 1
26.010 * [backup-simplify]: Simplify (/ 1 1) into 1
26.010 * [taylor]: Taking taylor expansion of 1/2 in k
26.010 * [backup-simplify]: Simplify 1/2 into 1/2
26.010 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
26.010 * [taylor]: Taking taylor expansion of (* 2 PI) in k
26.010 * [taylor]: Taking taylor expansion of 2 in k
26.010 * [backup-simplify]: Simplify 2 into 2
26.010 * [taylor]: Taking taylor expansion of PI in k
26.010 * [backup-simplify]: Simplify PI into PI
26.011 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
26.011 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
26.012 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.012 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.014 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
26.015 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))
26.015 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
26.015 * [taylor]: Taking taylor expansion of (/ -1 k) in k
26.015 * [taylor]: Taking taylor expansion of -1 in k
26.015 * [backup-simplify]: Simplify -1 into -1
26.015 * [taylor]: Taking taylor expansion of k in k
26.015 * [backup-simplify]: Simplify 0 into 0
26.015 * [backup-simplify]: Simplify 1 into 1
26.016 * [backup-simplify]: Simplify (/ -1 1) into -1
26.016 * [backup-simplify]: Simplify (sqrt 0) into 0
26.017 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
26.018 * [backup-simplify]: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))
26.019 * [backup-simplify]: Simplify (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))))
26.019 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
26.019 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) in n
26.019 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
26.019 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
26.019 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
26.019 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
26.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
26.019 * [taylor]: Taking taylor expansion of 1/2 in n
26.019 * [backup-simplify]: Simplify 1/2 into 1/2
26.019 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.019 * [taylor]: Taking taylor expansion of k in n
26.019 * [backup-simplify]: Simplify k into k
26.019 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.019 * [taylor]: Taking taylor expansion of 1/2 in n
26.019 * [backup-simplify]: Simplify 1/2 into 1/2
26.019 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
26.019 * [taylor]: Taking taylor expansion of (/ -1 n) in n
26.019 * [taylor]: Taking taylor expansion of -1 in n
26.019 * [backup-simplify]: Simplify -1 into -1
26.019 * [taylor]: Taking taylor expansion of n in n
26.019 * [backup-simplify]: Simplify 0 into 0
26.019 * [backup-simplify]: Simplify 1 into 1
26.020 * [backup-simplify]: Simplify (/ -1 1) into -1
26.020 * [backup-simplify]: Simplify (log -1) into (log -1)
26.020 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
26.020 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
26.021 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
26.022 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
26.022 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
26.022 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) in n
26.022 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) in n
26.022 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) in n
26.022 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
26.022 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
26.022 * [taylor]: Taking taylor expansion of 1/2 in n
26.022 * [backup-simplify]: Simplify 1/2 into 1/2
26.022 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.022 * [taylor]: Taking taylor expansion of k in n
26.022 * [backup-simplify]: Simplify k into k
26.022 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.022 * [taylor]: Taking taylor expansion of 1/2 in n
26.022 * [backup-simplify]: Simplify 1/2 into 1/2
26.022 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n
26.022 * [taylor]: Taking taylor expansion of (* 2 PI) in n
26.023 * [taylor]: Taking taylor expansion of 2 in n
26.023 * [backup-simplify]: Simplify 2 into 2
26.023 * [taylor]: Taking taylor expansion of PI in n
26.023 * [backup-simplify]: Simplify PI into PI
26.023 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
26.024 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
26.024 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
26.024 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
26.025 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))
26.026 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))
26.026 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
26.026 * [taylor]: Taking taylor expansion of (/ -1 k) in n
26.026 * [taylor]: Taking taylor expansion of -1 in n
26.026 * [backup-simplify]: Simplify -1 into -1
26.026 * [taylor]: Taking taylor expansion of k in n
26.026 * [backup-simplify]: Simplify k into k
26.027 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
26.027 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
26.027 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
26.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
26.028 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))
26.029 * [backup-simplify]: Simplify (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) into (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k)))
26.029 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
26.029 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) in n
26.029 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
26.029 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
26.029 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
26.029 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
26.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
26.030 * [taylor]: Taking taylor expansion of 1/2 in n
26.030 * [backup-simplify]: Simplify 1/2 into 1/2
26.030 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.030 * [taylor]: Taking taylor expansion of k in n
26.030 * [backup-simplify]: Simplify k into k
26.030 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.030 * [taylor]: Taking taylor expansion of 1/2 in n
26.030 * [backup-simplify]: Simplify 1/2 into 1/2
26.030 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
26.030 * [taylor]: Taking taylor expansion of (/ -1 n) in n
26.030 * [taylor]: Taking taylor expansion of -1 in n
26.030 * [backup-simplify]: Simplify -1 into -1
26.030 * [taylor]: Taking taylor expansion of n in n
26.030 * [backup-simplify]: Simplify 0 into 0
26.030 * [backup-simplify]: Simplify 1 into 1
26.030 * [backup-simplify]: Simplify (/ -1 1) into -1
26.031 * [backup-simplify]: Simplify (log -1) into (log -1)
26.031 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
26.031 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
26.032 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
26.032 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
26.033 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
26.033 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) in n
26.033 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) in n
26.033 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) in n
26.033 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
26.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
26.033 * [taylor]: Taking taylor expansion of 1/2 in n
26.033 * [backup-simplify]: Simplify 1/2 into 1/2
26.033 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.033 * [taylor]: Taking taylor expansion of k in n
26.033 * [backup-simplify]: Simplify k into k
26.033 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.033 * [taylor]: Taking taylor expansion of 1/2 in n
26.033 * [backup-simplify]: Simplify 1/2 into 1/2
26.033 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n
26.033 * [taylor]: Taking taylor expansion of (* 2 PI) in n
26.033 * [taylor]: Taking taylor expansion of 2 in n
26.033 * [backup-simplify]: Simplify 2 into 2
26.033 * [taylor]: Taking taylor expansion of PI in n
26.033 * [backup-simplify]: Simplify PI into PI
26.033 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
26.034 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
26.034 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
26.034 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
26.035 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))
26.035 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))
26.035 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
26.035 * [taylor]: Taking taylor expansion of (/ -1 k) in n
26.035 * [taylor]: Taking taylor expansion of -1 in n
26.035 * [backup-simplify]: Simplify -1 into -1
26.035 * [taylor]: Taking taylor expansion of k in n
26.035 * [backup-simplify]: Simplify k into k
26.035 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
26.035 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
26.036 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
26.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
26.036 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))
26.037 * [backup-simplify]: Simplify (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) into (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k)))
26.037 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) in k
26.037 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) in k
26.037 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) in k
26.037 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) in k
26.037 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) in k
26.037 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
26.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.037 * [taylor]: Taking taylor expansion of 1/2 in k
26.037 * [backup-simplify]: Simplify 1/2 into 1/2
26.037 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.037 * [taylor]: Taking taylor expansion of k in k
26.037 * [backup-simplify]: Simplify 0 into 0
26.037 * [backup-simplify]: Simplify 1 into 1
26.038 * [backup-simplify]: Simplify (/ 1 1) into 1
26.038 * [taylor]: Taking taylor expansion of 1/2 in k
26.038 * [backup-simplify]: Simplify 1/2 into 1/2
26.038 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
26.038 * [taylor]: Taking taylor expansion of (* 2 PI) in k
26.038 * [taylor]: Taking taylor expansion of 2 in k
26.038 * [backup-simplify]: Simplify 2 into 2
26.038 * [taylor]: Taking taylor expansion of PI in k
26.038 * [backup-simplify]: Simplify PI into PI
26.038 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
26.039 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
26.039 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.039 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.040 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
26.041 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))
26.041 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k
26.041 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k
26.041 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
26.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.041 * [taylor]: Taking taylor expansion of 1/2 in k
26.041 * [backup-simplify]: Simplify 1/2 into 1/2
26.041 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.041 * [taylor]: Taking taylor expansion of k in k
26.041 * [backup-simplify]: Simplify 0 into 0
26.041 * [backup-simplify]: Simplify 1 into 1
26.041 * [backup-simplify]: Simplify (/ 1 1) into 1
26.041 * [taylor]: Taking taylor expansion of 1/2 in k
26.041 * [backup-simplify]: Simplify 1/2 into 1/2
26.041 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k
26.041 * [taylor]: Taking taylor expansion of (log -1) in k
26.041 * [taylor]: Taking taylor expansion of -1 in k
26.041 * [backup-simplify]: Simplify -1 into -1
26.041 * [backup-simplify]: Simplify (log -1) into (log -1)
26.041 * [taylor]: Taking taylor expansion of (log n) in k
26.041 * [taylor]: Taking taylor expansion of n in k
26.041 * [backup-simplify]: Simplify n into n
26.042 * [backup-simplify]: Simplify (log n) into (log n)
26.042 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.042 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.042 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
26.042 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
26.043 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
26.043 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
26.043 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
26.043 * [taylor]: Taking taylor expansion of (/ -1 k) in k
26.043 * [taylor]: Taking taylor expansion of -1 in k
26.043 * [backup-simplify]: Simplify -1 into -1
26.043 * [taylor]: Taking taylor expansion of k in k
26.043 * [backup-simplify]: Simplify 0 into 0
26.043 * [backup-simplify]: Simplify 1 into 1
26.043 * [backup-simplify]: Simplify (/ -1 1) into -1
26.044 * [backup-simplify]: Simplify (sqrt 0) into 0
26.044 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
26.045 * [backup-simplify]: Simplify (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))
26.046 * [backup-simplify]: Simplify (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) +nan.0) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))
26.047 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))
26.047 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
26.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
26.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
26.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
26.049 * [backup-simplify]: Simplify (+ 0 0) into 0
26.049 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log (* 2 PI)))) into 0
26.052 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0
26.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
26.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
26.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
26.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
26.054 * [backup-simplify]: Simplify (+ 0 0) into 0
26.055 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
26.055 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0
26.056 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
26.057 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
26.057 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
26.057 * [taylor]: Taking taylor expansion of 0 in k
26.057 * [backup-simplify]: Simplify 0 into 0
26.057 * [backup-simplify]: Simplify 0 into 0
26.058 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into 0
26.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
26.061 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
26.062 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))
26.063 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))
26.063 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
26.065 * [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
26.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
26.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
26.066 * [backup-simplify]: Simplify (+ 0 0) into 0
26.068 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0
26.070 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
26.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.074 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
26.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
26.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
26.075 * [backup-simplify]: Simplify (+ 0 0) into 0
26.076 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
26.077 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
26.079 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
26.080 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
26.080 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
26.081 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
26.083 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
26.083 * [taylor]: Taking taylor expansion of 0 in k
26.083 * [backup-simplify]: Simplify 0 into 0
26.083 * [backup-simplify]: Simplify 0 into 0
26.083 * [backup-simplify]: Simplify 0 into 0
26.084 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0
26.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
26.093 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))
26.094 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))
26.099 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k))))))))))
26.099 * * * [progress]: simplifying candidates
26.099 * * * * [progress]: [ 1 / 231 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log n) (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.099 * * * * [progress]: [ 2 / 231 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log n) (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.099 * * * * [progress]: [ 3 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (* 1 (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.099 * * * * [progress]: [ 4 / 231 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n 1/2) (pow n (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.099 * * * * [progress]: [ 5 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow n (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.099 * * * * [progress]: [ 6 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow n (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.099 * * * * [progress]: [ 7 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow n 1) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.099 * * * * [progress]: [ 8 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow n (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.099 * * * * [progress]: [ 9 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow n (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 10 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow n 1) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 11 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n 1/2) (pow n (- (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 12 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n 1/2) (pow n (- (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 13 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 14 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt n) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 15 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow 1 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 16 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow n (- 1/2 (/ k 2))) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 17 / 231 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow n (- 1/2 (/ k 2))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 18 / 231 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow n (- 1/2 (/ k 2))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 19 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 20 / 231 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 21 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 22 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.100 * * * * [progress]: [ 23 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (- 1/2 (/ k 2)) 2)) (pow n (/ (- 1/2 (/ k 2)) 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.101 * * * * [progress]: [ 24 / 231 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow n (- 1/2 (/ k 2))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.101 * * * * [progress]: [ 25 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (exp (* (+ (log 2) (log PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
26.101 * * * * [progress]: [ 26 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (exp (* (log (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
26.101 * * * * [progress]: [ 27 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (exp (* (log (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
26.101 * * * * [progress]: [ 28 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))))>
26.101 * * * * [progress]: [ 29 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))))>
26.101 * * * * [progress]: [ 30 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ (pow (* 2 PI) 1/2) (pow (* 2 PI) (/ k 2))) (sqrt k))))>
26.101 * * * * [progress]: [ 31 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (pow (* 2 PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))))>
26.101 * * * * [progress]: [ 32 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (pow (* 2 PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))))>
26.101 * * * * [progress]: [ 33 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (pow (* 2 PI) 1) (- 1/2 (/ k 2))) (sqrt k))))>
26.101 * * * * [progress]: [ 34 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (pow (* 2 PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
26.101 * * * * [progress]: [ 35 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (pow (* 2 PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k))))>
26.101 * * * * [progress]: [ 36 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (pow (* 2 PI) 1) (- 1/2 (/ k 2))) (sqrt k))))>
26.102 * * * * [progress]: [ 37 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow (* 2 PI) 1/2) (pow (* 2 PI) (- (/ k 2)))) (sqrt k))))>
26.102 * * * * [progress]: [ 38 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow (* 2 PI) 1/2) (pow (* 2 PI) (- (/ k 2)))) (sqrt k))))>
26.102 * * * * [progress]: [ 39 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.102 * * * * [progress]: [ 40 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (pow (* 2 PI) (- 1/2 (/ k 2))) 1) (sqrt k))))>
26.102 * * * * [progress]: [ 41 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (exp (log (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt k))))>
26.102 * * * * [progress]: [ 42 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (log (exp (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt k))))>
26.102 * * * * [progress]: [ 43 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt k))))>
26.102 * * * * [progress]: [ 44 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (cbrt (* (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt k))))>
26.102 * * * * [progress]: [ 45 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt k))))>
26.102 * * * * [progress]: [ 46 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* 1 (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))))>
26.102 * * * * [progress]: [ 47 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt k))))>
26.102 * * * * [progress]: [ 48 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (posit16->real (real->posit16 (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt k))))>
26.102 * * * * [progress]: [ 49 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (pow (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 1)))>
26.102 * * * * [progress]: [ 50 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (exp (- (* (+ (log 2) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))))>
26.103 * * * * [progress]: [ 51 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (exp (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))))>
26.103 * * * * [progress]: [ 52 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (exp (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))))>
26.103 * * * * [progress]: [ 53 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (exp (- (log (pow (* 2 PI) (- 1/2 (/ k 2)))) (log (sqrt k))))))>
26.103 * * * * [progress]: [ 54 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (exp (log (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.103 * * * * [progress]: [ 55 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (log (exp (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.103 * * * * [progress]: [ 56 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (cbrt (/ (* (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
26.103 * * * * [progress]: [ 57 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (* (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.103 * * * * [progress]: [ 58 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (cbrt (* (* (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.103 * * * * [progress]: [ 59 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.103 * * * * [progress]: [ 60 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (- (pow (* 2 PI) (- 1/2 (/ k 2)))) (- (sqrt k)))))>
26.103 * * * * [progress]: [ 61 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- (/ k 2))) (cbrt (sqrt k))))))>
26.103 * * * * [progress]: [ 62 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (cbrt k))))))>
26.103 * * * * [progress]: [ 63 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k))))))>
26.103 * * * * [progress]: [ 64 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) 1/2) (sqrt 1)) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k)))))>
26.104 * * * * [progress]: [ 65 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k))))))>
26.104 * * * * [progress]: [ 66 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) 1/2) 1) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k)))))>
26.104 * * * * [progress]: [ 67 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- (/ k 2))) (cbrt (sqrt k))))))>
26.104 * * * * [progress]: [ 68 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (cbrt k))))))>
26.104 * * * * [progress]: [ 69 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k))))))>
26.104 * * * * [progress]: [ 70 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) 1/2) (sqrt 1)) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k)))))>
26.104 * * * * [progress]: [ 71 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k))))))>
26.104 * * * * [progress]: [ 72 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) 1/2) 1) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k)))))>
26.104 * * * * [progress]: [ 73 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
26.104 * * * * [progress]: [ 74 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
26.104 * * * * [progress]: [ 75 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
26.104 * * * * [progress]: [ 76 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
26.104 * * * * [progress]: [ 77 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
26.104 * * * * [progress]: [ 78 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow 2 (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
26.105 * * * * [progress]: [ 79 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))>
26.105 * * * * [progress]: [ 80 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))>
26.105 * * * * [progress]: [ 81 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
26.105 * * * * [progress]: [ 82 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
26.105 * * * * [progress]: [ 83 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
26.105 * * * * [progress]: [ 84 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
26.105 * * * * [progress]: [ 85 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))>
26.105 * * * * [progress]: [ 86 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))>
26.105 * * * * [progress]: [ 87 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
26.105 * * * * [progress]: [ 88 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
26.105 * * * * [progress]: [ 89 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
26.105 * * * * [progress]: [ 90 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
26.105 * * * * [progress]: [ 91 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
26.105 * * * * [progress]: [ 92 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
26.106 * * * * [progress]: [ 93 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
26.106 * * * * [progress]: [ 94 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ 1 (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.106 * * * * [progress]: [ 95 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
26.106 * * * * [progress]: [ 96 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ 1 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.106 * * * * [progress]: [ 97 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k))))))>
26.106 * * * * [progress]: [ 98 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k))))))>
26.106 * * * * [progress]: [ 99 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
26.106 * * * * [progress]: [ 100 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k)))))>
26.106 * * * * [progress]: [ 101 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
26.106 * * * * [progress]: [ 102 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k)))))>
26.106 * * * * [progress]: [ 103 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* 1 (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.106 * * * * [progress]: [ 104 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (pow (* 2 PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))))>
26.106 * * * * [progress]: [ 105 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
26.106 * * * * [progress]: [ 106 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))>
26.107 * * * * [progress]: [ 107 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))))>
26.107 * * * * [progress]: [ 108 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
26.107 * * * * [progress]: [ 109 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k))))>
26.107 * * * * [progress]: [ 110 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
26.107 * * * * [progress]: [ 111 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) 1) (sqrt k))))>
26.107 * * * * [progress]: [ 112 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (/ (sqrt k) (pow (* 2 PI) (- (/ k 2)))))))>
26.107 * * * * [progress]: [ 113 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (/ (sqrt k) (pow (* 2 PI) (- (/ k 2)))))))>
26.107 * * * * [progress]: [ 114 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
26.107 * * * * [progress]: [ 115 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))))))>
26.107 * * * * [progress]: [ 116 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2))))))))>
26.107 * * * * [progress]: [ 117 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
26.107 * * * * [progress]: [ 118 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2))))))>
26.107 * * * * [progress]: [ 119 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (* (sqrt k) (pow (* 2 PI) (/ k 2))))))>
26.107 * * * * [progress]: [ 120 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (posit16->real (real->posit16 (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.108 * * * * [progress]: [ 121 / 231 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) 1))>
26.108 * * * * [progress]: [ 122 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (/ k 2))) (- (* (+ (log 2) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))))>
26.108 * * * * [progress]: [ 123 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (/ k 2))) (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))))>
26.108 * * * * [progress]: [ 124 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (/ k 2))) (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))))>
26.108 * * * * [progress]: [ 125 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (/ k 2))) (- (log (pow (* 2 PI) (- 1/2 (/ k 2)))) (log (sqrt k))))))>
26.108 * * * * [progress]: [ 126 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (/ k 2))) (log (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.108 * * * * [progress]: [ 127 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (/ k 2))) (- (* (+ (log 2) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))))>
26.108 * * * * [progress]: [ 128 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (/ k 2))) (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))))>
26.108 * * * * [progress]: [ 129 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (/ k 2))) (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))))>
26.108 * * * * [progress]: [ 130 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (/ k 2))) (- (log (pow (* 2 PI) (- 1/2 (/ k 2)))) (log (sqrt k))))))>
26.108 * * * * [progress]: [ 131 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (/ k 2))) (log (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.108 * * * * [progress]: [ 132 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (/ k 2)))) (- (* (+ (log 2) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))))>
26.108 * * * * [progress]: [ 133 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (/ k 2)))) (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))))>
26.108 * * * * [progress]: [ 134 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (/ k 2)))) (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))))>
26.109 * * * * [progress]: [ 135 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (/ k 2)))) (- (log (pow (* 2 PI) (- 1/2 (/ k 2)))) (log (sqrt k))))))>
26.109 * * * * [progress]: [ 136 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (/ k 2)))) (log (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.109 * * * * [progress]: [ 137 / 231 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.109 * * * * [progress]: [ 138 / 231 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.109 * * * * [progress]: [ 139 / 231 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
26.109 * * * * [progress]: [ 140 / 231 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.109 * * * * [progress]: [ 141 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.109 * * * * [progress]: [ 142 / 231 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.109 * * * * [progress]: [ 143 / 231 ] 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 (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.109 * * * * [progress]: [ 144 / 231 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n 1/2) (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (pow n (/ k 2)) (sqrt k))))>
26.109 * * * * [progress]: [ 145 / 231 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.109 * * * * [progress]: [ 146 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) (* (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.109 * * * * [progress]: [ 147 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
26.109 * * * * [progress]: [ 148 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
26.110 * * * * [progress]: [ 149 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
26.110 * * * * [progress]: [ 150 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
26.110 * * * * [progress]: [ 151 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.110 * * * * [progress]: [ 152 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
26.110 * * * * [progress]: [ 153 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
26.110 * * * * [progress]: [ 154 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
26.110 * * * * [progress]: [ 155 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
26.110 * * * * [progress]: [ 156 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) (* (pow n (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.110 * * * * [progress]: [ 157 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
26.110 * * * * [progress]: [ 158 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
26.110 * * * * [progress]: [ 159 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
26.110 * * * * [progress]: [ 160 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
26.110 * * * * [progress]: [ 161 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.111 * * * * [progress]: [ 162 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.111 * * * * [progress]: [ 163 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* 2 PI) (- (/ k 2))) (cbrt (sqrt k)))))>
26.111 * * * * [progress]: [ 164 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (cbrt k)))))>
26.111 * * * * [progress]: [ 165 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k)))))>
26.111 * * * * [progress]: [ 166 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt 1))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k))))>
26.111 * * * * [progress]: [ 167 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k)))))>
26.111 * * * * [progress]: [ 168 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) 1)) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k))))>
26.111 * * * * [progress]: [ 169 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* 2 PI) (- (/ k 2))) (cbrt (sqrt k)))))>
26.111 * * * * [progress]: [ 170 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (cbrt k)))))>
26.111 * * * * [progress]: [ 171 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k)))))>
26.111 * * * * [progress]: [ 172 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt 1))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k))))>
26.111 * * * * [progress]: [ 173 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k)))))>
26.111 * * * * [progress]: [ 174 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) 1)) (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k))))>
26.111 * * * * [progress]: [ 175 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
26.112 * * * * [progress]: [ 176 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
26.112 * * * * [progress]: [ 177 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
26.112 * * * * [progress]: [ 178 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt 1))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
26.112 * * * * [progress]: [ 179 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
26.112 * * * * [progress]: [ 180 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
26.112 * * * * [progress]: [ 181 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
26.112 * * * * [progress]: [ 182 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
26.112 * * * * [progress]: [ 183 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
26.112 * * * * [progress]: [ 184 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt 1))) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))))>
26.112 * * * * [progress]: [ 185 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
26.112 * * * * [progress]: [ 186 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) 1)) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))))>
26.112 * * * * [progress]: [ 187 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
26.112 * * * * [progress]: [ 188 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
26.113 * * * * [progress]: [ 189 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
26.113 * * * * [progress]: [ 190 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt 1))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))))>
26.113 * * * * [progress]: [ 191 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
26.113 * * * * [progress]: [ 192 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))))>
26.113 * * * * [progress]: [ 193 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
26.113 * * * * [progress]: [ 194 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
26.113 * * * * [progress]: [ 195 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
26.113 * * * * [progress]: [ 196 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt 1))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.113 * * * * [progress]: [ 197 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
26.113 * * * * [progress]: [ 198 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.113 * * * * [progress]: [ 199 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))>
26.113 * * * * [progress]: [ 200 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))>
26.113 * * * * [progress]: [ 201 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
26.113 * * * * [progress]: [ 202 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
26.113 * * * * [progress]: [ 203 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
26.113 * * * * [progress]: [ 204 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) 1)) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
26.113 * * * * [progress]: [ 205 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.113 * * * * [progress]: [ 206 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
26.113 * * * * [progress]: [ 207 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n 1/2) (* (pow n (- (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.113 * * * * [progress]: [ 208 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n 1/2) (* (pow n (- (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.113 * * * * [progress]: [ 209 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (* (pow (cbrt n) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.113 * * * * [progress]: [ 210 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt n) (- 1/2 (/ k 2))) (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.114 * * * * [progress]: [ 211 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow 1 (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.114 * * * * [progress]: [ 212 / 231 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.114 * * * * [progress]: [ 213 / 231 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.114 * * * * [progress]: [ 214 / 231 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.114 * * * * [progress]: [ 215 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (/ (- 1/2 (/ k 2)) 2)) (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
26.114 * * * * [progress]: [ 216 / 231 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))>
26.114 * * * * [progress]: [ 217 / 231 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n 1/2) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (pow n (/ k 2))))>
26.114 * * * * [progress]: [ 218 / 231 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
26.114 * * * * [progress]: [ 219 / 231 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) (pow n (- 1/2 (/ k 2)))))>
26.114 * * * * [progress]: [ 220 / 231 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.114 * * * * [progress]: [ 221 / 231 ] simplifiying candidate #<alt (λ (k n) (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.114 * * * * [progress]: [ 222 / 231 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
26.114 * * * * [progress]: [ 223 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) (sqrt k))))>
26.114 * * * * [progress]: [ 224 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (sqrt k))))>
26.114 * * * * [progress]: [ 225 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (sqrt k))))>
26.114 * * * * [progress]: [ 226 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI))))))))))))))))>
26.114 * * * * [progress]: [ 227 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow k 3))) (- (+ (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) k)) (- (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow k 2))))))))))>
26.114 * * * * [progress]: [ 228 / 231 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (- (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow k 2))))))))))>
26.114 * * * * [progress]: [ 229 / 231 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))))>
26.114 * * * * [progress]: [ 230 / 231 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))))>
26.114 * * * * [progress]: [ 231 / 231 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))))>
26.117 * [simplify]: Simplifying:
  (* (log n) (- 1/2 (/ k 2)))
  (* (log n) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow n 1/2)
  (pow n (/ k 2))
  (pow n (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow n (sqrt (- 1/2 (/ k 2))))
  (pow n 1)
  (pow n (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow n (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow n 1)
  (pow n 1/2)
  (pow n (- (/ k 2)))
  (pow n 1/2)
  (pow n (- (/ k 2)))
  (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2)))
  (pow (cbrt n) (- 1/2 (/ k 2)))
  (pow (sqrt n) (- 1/2 (/ k 2)))
  (pow (sqrt n) (- 1/2 (/ k 2)))
  (pow 1 (- 1/2 (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (log (pow n (- 1/2 (/ k 2))))
  (exp (pow n (- 1/2 (/ k 2))))
  (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))
  (cbrt (pow n (- 1/2 (/ k 2))))
  (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))
  (sqrt (pow n (- 1/2 (/ k 2))))
  (sqrt (pow n (- 1/2 (/ k 2))))
  (pow n (/ (- 1/2 (/ k 2)) 2))
  (pow n (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow n (- 1/2 (/ k 2))))
  (* (+ (log 2) (log PI)) (- 1/2 (/ k 2)))
  (* (log (* 2 PI)) (- 1/2 (/ k 2)))
  (* (log (* 2 PI)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* 2 PI) 1/2)
  (pow (* 2 PI) (/ k 2))
  (pow (* 2 PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* 2 PI) (sqrt (- 1/2 (/ k 2))))
  (pow (* 2 PI) 1)
  (pow (* 2 PI) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* 2 PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* 2 PI) 1)
  (pow (* 2 PI) 1/2)
  (pow (* 2 PI) (- (/ k 2)))
  (pow (* 2 PI) 1/2)
  (pow (* 2 PI) (- (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow (* 2 PI) (- 1/2 (/ k 2))))
  (exp (pow (* 2 PI) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))
  (* (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* 2 PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* 2 PI) (- 1/2 (/ k 2))))
  (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2))
  (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* 2 PI) (- 1/2 (/ k 2))))
  (- (* (+ (log 2) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (log (pow (* 2 PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (log (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (exp (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* 2 PI) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (pow (* 2 PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* 2 PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) 1/2) (sqrt 1))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) 1/2) 1)
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* 2 PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* 2 PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) 1/2) (sqrt 1))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) 1/2) 1)
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k))
  (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow 2 (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow 2 (- 1/2 (/ k 2))) 1)
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) 1)
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* 2 PI) (- 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)))) (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 (sqrt k)))
  (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 PI) (- 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 (sqrt k)))
  (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) 1)
  (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))
  (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))
  (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))
  (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) 1)
  (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) 1)
  (/ (sqrt k) (pow (* 2 PI) (- (/ k 2))))
  (/ (sqrt k) (pow (* 2 PI) (- (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)))
  (* (sqrt k) (pow (* 2 PI) (/ k 2)))
  (real->posit16 (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (+ (* (log n) (- 1/2 (/ k 2))) (- (* (+ (log 2) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (/ k 2))) (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (/ k 2))) (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (/ k 2))) (- (log (pow (* 2 PI) (- 1/2 (/ k 2)))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (/ k 2))) (log (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (+ (* (log n) (- 1/2 (/ k 2))) (- (* (+ (log 2) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (/ k 2))) (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (/ k 2))) (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (/ k 2))) (- (log (pow (* 2 PI) (- 1/2 (/ k 2)))) (log (sqrt k))))
  (+ (* (log n) (- 1/2 (/ k 2))) (log (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (+ (log (pow n (- 1/2 (/ k 2)))) (- (* (+ (log 2) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))
  (+ (log (pow n (- 1/2 (/ k 2)))) (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))
  (+ (log (pow n (- 1/2 (/ k 2)))) (- (* (log (* 2 PI)) (- 1/2 (/ k 2))) (log (sqrt k))))
  (+ (log (pow n (- 1/2 (/ k 2)))) (- (log (pow (* 2 PI) (- 1/2 (/ k 2)))) (log (sqrt k))))
  (+ (log (pow n (- 1/2 (/ k 2)))) (log (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (log (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (exp (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))
  (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))
  (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (* (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (pow n 1/2) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (* (pow n (/ k 2)) (sqrt k))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (pow n (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt 1)))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) 1))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt 1)))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) 1/2) 1))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt 1)))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) 1))
  (* (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt 1)))
  (* (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) 1))
  (* (pow n (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt 1)))
  (* (pow n (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) 1))
  (* (pow n (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt 1)))
  (* (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ 1 1))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) 1))
  (* (pow n (- 1/2 (/ k 2))) 1)
  (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (* (pow n (- (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (pow n (- (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (pow (cbrt n) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (pow n (/ (- 1/2 (/ k 2)) 2)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (* (pow n 1/2) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (real->posit16 (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
  (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n)))))
  (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))))
  (pow (* 2 PI) (- 1/2 (* 1/2 k)))
  (pow (* 2 PI) (- 1/2 (* 1/2 k)))
  (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI))))))))))))))
  (- (+ (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow k 3))) (- (+ (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) k)) (- (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (- (* +nan.0 (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow k 2))))))))
  (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k))))))))))
26.122 * * [simplify]: iteration 1: (387 enodes)
26.262 * * [simplify]: iteration 2: (1054 enodes)
26.890 * * [simplify]: Extracting #0: cost 167 inf + 0
26.891 * * [simplify]: Extracting #1: cost 619 inf + 2
26.895 * * [simplify]: Extracting #2: cost 873 inf + 8283
26.905 * * [simplify]: Extracting #3: cost 871 inf + 97883
26.973 * * [simplify]: Extracting #4: cost 462 inf + 306166
27.084 * * [simplify]: Extracting #5: cost 190 inf + 456181
27.172 * * [simplify]: Extracting #6: cost 83 inf + 517127
27.322 * * [simplify]: Extracting #7: cost 22 inf + 555469
27.447 * * [simplify]: Extracting #8: cost 3 inf + 578936
27.599 * * [simplify]: Extracting #9: cost 0 inf + 580571
27.718 * * [simplify]: Extracting #10: cost 0 inf + 579051
27.822 * * [simplify]: Extracting #11: cost 0 inf + 578971
27.935 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log n))
  (* (- 1/2 (/ k 2)) (log n))
  (- 1/2 (/ k 2))
  (sqrt n)
  (pow n (/ k 2))
  (pow n (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow n (sqrt (- 1/2 (/ k 2))))
  n
  (pow n (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow n (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  n
  (sqrt n)
  (pow n (- (/ k 2)))
  (sqrt n)
  (pow n (- (/ k 2)))
  (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2)))
  (pow (cbrt n) (- 1/2 (/ k 2)))
  (pow (sqrt n) (- 1/2 (/ k 2)))
  (pow (sqrt n) (- 1/2 (/ k 2)))
  1
  (pow n (- 1/2 (/ k 2)))
  (* (log n) (- 1/2 (/ k 2)))
  (exp (pow n (- 1/2 (/ k 2))))
  (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))
  (cbrt (pow n (- 1/2 (/ k 2))))
  (pow (pow n (- 1/2 (/ k 2))) 3)
  (sqrt (pow n (- 1/2 (/ k 2))))
  (sqrt (pow n (- 1/2 (/ k 2))))
  (pow n (- 1/4 (/ k 4)))
  (pow n (- 1/4 (/ k 4)))
  (real->posit16 (pow n (- 1/2 (/ k 2))))
  (* (- 1/2 (/ k 2)) (log (* 2 PI)))
  (* (- 1/2 (/ k 2)) (log (* 2 PI)))
  (* (- 1/2 (/ k 2)) (log (* 2 PI)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* 2 PI))
  (pow (* 2 PI) (/ k 2))
  (pow (* 2 PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* 2 PI) (sqrt (- 1/2 (/ k 2))))
  (* 2 PI)
  (pow (* 2 PI) (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow (* 2 PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (* 2 PI)
  (sqrt (* 2 PI))
  (pow (* 2 PI) (- (/ k 2)))
  (sqrt (* 2 PI))
  (pow (* 2 PI) (- (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* 2 PI)))
  (exp (pow (* 2 PI) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))
  (* (pow (* 2 PI) (- 1/2 (/ k 2))) (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (sqrt (pow (* 2 PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* 2 PI) (- 1/2 (/ k 2))))
  (pow (* 2 PI) (- 1/4 (/ k 4)))
  (pow (* 2 PI) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* 2 PI) (- 1/2 (/ k 2))))
  (- (* (- 1/2 (/ k 2)) (log (* 2 PI))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* 2 PI))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* 2 PI))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* 2 PI))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* 2 PI))) (log (sqrt k)))
  (exp (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (/ (* k (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (* (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* 2 PI) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (sqrt (* 2 PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* 2 PI)) (fabs (cbrt k)))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* 2 PI)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* 2 PI))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* 2 PI)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* 2 PI))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* 2 PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* 2 PI)) (fabs (cbrt k)))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* 2 PI)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* 2 PI))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* 2 PI)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* 2 PI))
  (/ (pow (* 2 PI) (- (/ k 2))) (sqrt k))
  (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow 2 (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow 2 (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow 2 (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (* (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))))
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))))
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* 2 PI) (- 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)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* 2 PI) (- 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 (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* 2 PI) (- 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 (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (fabs (cbrt k)))
  (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
  (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* 2 PI) (- 1/4 (/ k 4)))
  (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (sqrt k))
  (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* 2 PI) (- 1/4 (/ k 4)))
  (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* 2 PI) (- 1/2 (/ k 2)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* 2 PI) (- 1/2 (/ k 2)))
  (/ (sqrt k) (pow (* 2 PI) (- (/ k 2))))
  (/ (sqrt k) (pow (* 2 PI) (- (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4))))
  (* (pow (* 2 PI) (/ k 2)) (sqrt k))
  (real->posit16 (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))
  (exp (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))
  (* (pow n (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow n (- 1/2 (/ k 2))) (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2))))) (/ (* k (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))
  (* (* (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)) (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))) (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))
  (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))))
  (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))
  (* (* (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)) (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))) (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))
  (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))
  (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))
  (* (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt n))
  (* (pow n (/ k 2)) (sqrt k))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (pow (sqrt n) (- 1/2 (/ k 2))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (pow (sqrt n) (- 1/2 (/ k 2))))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (/ (* (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))
  (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))
  (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))
  (* (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))
  (* (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))
  (* (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))
  (* (pow n (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (pow n (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (pow n (/ (- 1/2 (/ k 2)) 2)))
  (* (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (pow n (/ (- 1/2 (/ k 2)) 2)))
  (* (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (pow n (/ (- 1/2 (/ k 2)) 2)))
  (* (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (pow n (/ (- 1/2 (/ k 2)) 2)))
  (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (* (* (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) (pow n (- 1/2 (/ k 2))))
  (* (pow n (- 1/2 (/ k 2))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
  (* (/ (sqrt (* 2 PI)) (cbrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (fabs (cbrt k)) (sqrt (* 2 PI))))
  (/ (* (pow n (- 1/2 (/ k 2))) (sqrt (* 2 PI))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (/ k 2))) (sqrt (* 2 PI)))
  (/ (* (pow n (- 1/2 (/ k 2))) (sqrt (* 2 PI))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (/ k 2))) (sqrt (* 2 PI)))
  (* (/ (sqrt (* 2 PI)) (cbrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (fabs (cbrt k)) (sqrt (* 2 PI))))
  (/ (* (pow n (- 1/2 (/ k 2))) (sqrt (* 2 PI))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (/ k 2))) (sqrt (* 2 PI)))
  (/ (* (pow n (- 1/2 (/ k 2))) (sqrt (* 2 PI))) (sqrt (sqrt k)))
  (* (pow n (- 1/2 (/ k 2))) (sqrt (* 2 PI)))
  (/ (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))
  (* (* (pow n (- 1/2 (/ k 2))) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (fabs (cbrt k)) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))
  (* (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) (pow n (- 1/2 (/ k 2))))
  (* (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (pow n (- 1/2 (/ k 2))))
  (* (/ (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) (pow n (- 1/2 (/ k 2))))
  (* (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (pow n (- 1/2 (/ k 2))))
  (* (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))) (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2))))))
  (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))
  (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))
  (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (/ k 2)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (/ k 2)))
  (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (/ (* (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)) (pow n (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2))))
  (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)))
  (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2))))
  (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (/ (- 1/2 (/ k 2)) 2)))
  (pow n (- 1/2 (/ k 2)))
  (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))
  (/ (* (pow n (- (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (pow n (- (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (sqrt k))
  (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow n (/ (- 1/2 (/ k 2)) 2))) (sqrt k))
  (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))
  (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt n)) (sqrt k))
  (real->posit16 (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))
  (+ (- (* (* 1/8 (* (* (sqrt n) (log n)) (log n))) (* k k)) (* (* (sqrt n) (log n)) (* 1/2 k))) (sqrt n))
  (exp (* (- (- 1/2 (* 1/2 k))) (- (log n))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (- (log -1) (log n)))))
  (+ (* (* (sqrt 2) (* (* k (log (* 2 PI))) (* k (log (* 2 PI))))) (* (sqrt PI) 1/8)) (- (sqrt (* 2 PI)) (* (* 1/2 (sqrt PI)) (* (log (* 2 PI)) (* k (sqrt 2))))))
  (pow (* 2 PI) (- 1/2 (* 1/2 k)))
  (pow (* 2 PI) (- 1/2 (* 1/2 k)))
  (- (- (- (* +nan.0 (* (sqrt 2) (* (sqrt PI) (* k k)))) (* (* +nan.0 (sqrt 2)) (sqrt PI))) (+ (- (* (* +nan.0 (sqrt 2)) (* (sqrt PI) (* (* k (log (* 2 PI))) (* k (log (* 2 PI)))))) (* +nan.0 (- (* (* (* (sqrt PI) (sqrt 2)) k) (log (* 2 PI))) (* (* (sqrt PI) (sqrt 2)) k)))) (* (- +nan.0) (* (* (sqrt 2) (* (sqrt PI) (* k k))) (log (* 2 PI)))))))
  (- (- (* (/ +nan.0 (* k k)) (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) k)) (* +nan.0 (- (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) k) (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (* k k))))))
  (- (* (- +nan.0) (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) k)) (+ (* (- +nan.0) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (* (/ +nan.0 k) (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) k))))
  (- (+ (- (* (sqrt (* PI n)) (* (* +nan.0 (* k k)) (sqrt 2))) (* (* k (sqrt 2)) (* (sqrt (* PI n)) +nan.0))) (+ (- (* (* (* +nan.0 (sqrt 2)) (* (* k (log (* 2 PI))) (* k (log (* 2 PI))))) (sqrt (* PI n))) (* (* (* (* (log n) k) (* (log n) k)) (sqrt 2)) (* (sqrt (* PI n)) +nan.0))) (+ (- (* (sqrt 2) (* (* (sqrt (* PI n)) (* k (log n))) +nan.0)) (* (* (* (sqrt 2) (log n)) (* k k)) (* (sqrt (* PI n)) +nan.0))) (+ (- (* (* +nan.0 (sqrt (* PI n))) (* (* (* (sqrt 2) (log n)) (* k k)) (log (* 2 PI)))) (* (* +nan.0 (sqrt (* PI n))) (sqrt 2))) (* +nan.0 (- (* (* (log (* 2 PI)) (* k (sqrt 2))) (sqrt (* PI n))) (* (sqrt (* PI n)) (* (* (log (* 2 PI)) (* k (sqrt 2))) k)))))))))
  (+ (* (/ (exp (* (- (- 1/2 (* 1/2 k))) (- (log n)))) (/ k (pow (* 2 PI) (- 1/2 (* 1/2 k))))) (- +nan.0)) (* +nan.0 (- (/ (exp (* (- (- 1/2 (* 1/2 k))) (- (log n)))) (/ (* k k) (pow (* 2 PI) (- 1/2 (* 1/2 k))))) (/ (* (exp (* (- (- 1/2 (* 1/2 k))) (- (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (* (* k k) k)))))
  (+ (- (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (- (log -1) (log n))))) +nan.0) (/ k (pow (* 2 PI) (- 1/2 (* 1/2 k)))))) (* +nan.0 (- (* (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) k) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (- (log -1) (log n))))) k)) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (- (log -1) (log n)))))))))
27.958 * * * [progress]: adding candidates to table
30.661 * [progress]: [Phase 3 of 3] Extracting.
30.661 * * [regime]: Finding splitpoints for: (#<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))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))> #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))> #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>)
30.662 * * * [regime-changes]: Trying 2 branch expressions: (n k)
30.662 * * * * [regimes]: Trying to branch on n from (#<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))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))> #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))> #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>)
30.716 * * * * [regimes]: Trying to branch on k from (#<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))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))> #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))> #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>)
30.774 * * * [regime]: Found split indices: #<option (#s(si 6 255))>
30.774 * [simplify]: Simplifying:
  (* (pow n (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
30.774 * * [simplify]: iteration 1: (14 enodes)
30.775 * * [simplify]: iteration 2: (16 enodes)
30.775 * * [simplify]: Extracting #0: cost 1 inf + 0
30.775 * * [simplify]: Extracting #1: cost 3 inf + 0
30.775 * * [simplify]: Extracting #2: cost 7 inf + 0
30.775 * * [simplify]: Extracting #3: cost 11 inf + 1
30.775 * * [simplify]: Extracting #4: cost 11 inf + 3
30.775 * * [simplify]: Extracting #5: cost 3 inf + 1132
30.776 * * [simplify]: Extracting #6: cost 0 inf + 2925
30.776 * [simplify]: Simplified to:
  (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))
38.655 * [regime-testing]: Baseline error score: 0.4339793468069403
38.659 * [regime-testing]: Oracle error score: 0.03471430178844471
38.667 * [regime-testing]: End program error score: 0.4339793468069403