58.610 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.173 * * * [progress]: [2/2] Setting up program.
0.176 * [progress]: [Phase 2 of 3] Improving.
0.176 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.176 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.176 * * [simplify]: iteration 0: 13 enodes
0.180 * * [simplify]: iteration 1: 31 enodes
0.189 * * [simplify]: iteration 2: 62 enodes
0.242 * * [simplify]: iteration 3: 124 enodes
0.307 * * [simplify]: iteration 4: 327 enodes
0.576 * * [simplify]: iteration 5: 929 enodes
0.909 * * [simplify]: iteration 6: 2011 enodes
1.329 * * [simplify]: iteration complete: 2011 enodes
1.330 * * [simplify]: Extracting #0: cost 1 inf + 0
1.338 * * [simplify]: Extracting #1: cost 89 inf + 0
1.339 * * [simplify]: Extracting #2: cost 322 inf + 1
1.340 * * [simplify]: Extracting #3: cost 468 inf + 46
1.342 * * [simplify]: Extracting #4: cost 453 inf + 3452
1.347 * * [simplify]: Extracting #5: cost 339 inf + 22215
1.362 * * [simplify]: Extracting #6: cost 152 inf + 141923
1.404 * * [simplify]: Extracting #7: cost 5 inf + 283438
1.457 * * [simplify]: Extracting #8: cost 0 inf + 285235
1.509 * * [simplify]: Extracting #9: cost 0 inf + 284972
1.572 * * [simplify]: Extracting #10: cost 0 inf + 284459
1.614 * [simplify]: Simplified to:
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1.624 * * [progress]: iteration 1 / 4
1.624 * * * [progress]: picking best candidate
1.634 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1.635 * * * [progress]: localizing error
1.682 * * * [progress]: generating rewritten candidates
1.682 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1.699 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1.717 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1.732 * * * [progress]: generating series expansions
1.732 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1.733 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1.733 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1.733 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1.733 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1.733 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1.733 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1.733 * [taylor]: Taking taylor expansion of 1/2 in k
1.733 * [backup-simplify]: Simplify 1/2 into 1/2
1.733 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1.733 * [taylor]: Taking taylor expansion of 1/2 in k
1.733 * [backup-simplify]: Simplify 1/2 into 1/2
1.733 * [taylor]: Taking taylor expansion of k in k
1.733 * [backup-simplify]: Simplify 0 into 0
1.733 * [backup-simplify]: Simplify 1 into 1
1.733 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.733 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.733 * [taylor]: Taking taylor expansion of 2 in k
1.733 * [backup-simplify]: Simplify 2 into 2
1.733 * [taylor]: Taking taylor expansion of (* n PI) in k
1.733 * [taylor]: Taking taylor expansion of n in k
1.733 * [backup-simplify]: Simplify n into n
1.733 * [taylor]: Taking taylor expansion of PI in k
1.733 * [backup-simplify]: Simplify PI into PI
1.733 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.733 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.733 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.734 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.734 * [backup-simplify]: Simplify (- 0) into 0
1.734 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.734 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.734 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.734 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1.734 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1.734 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1.734 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1.734 * [taylor]: Taking taylor expansion of 1/2 in n
1.734 * [backup-simplify]: Simplify 1/2 into 1/2
1.734 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1.734 * [taylor]: Taking taylor expansion of 1/2 in n
1.734 * [backup-simplify]: Simplify 1/2 into 1/2
1.734 * [taylor]: Taking taylor expansion of k in n
1.734 * [backup-simplify]: Simplify k into k
1.734 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.734 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.734 * [taylor]: Taking taylor expansion of 2 in n
1.734 * [backup-simplify]: Simplify 2 into 2
1.735 * [taylor]: Taking taylor expansion of (* n PI) in n
1.735 * [taylor]: Taking taylor expansion of n in n
1.735 * [backup-simplify]: Simplify 0 into 0
1.735 * [backup-simplify]: Simplify 1 into 1
1.735 * [taylor]: Taking taylor expansion of PI in n
1.735 * [backup-simplify]: Simplify PI into PI
1.735 * [backup-simplify]: Simplify (* 0 PI) into 0
1.735 * [backup-simplify]: Simplify (* 2 0) into 0
1.736 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.737 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.738 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.738 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1.738 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1.738 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1.739 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.740 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1.740 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1.740 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1.740 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1.740 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1.740 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1.740 * [taylor]: Taking taylor expansion of 1/2 in n
1.740 * [backup-simplify]: Simplify 1/2 into 1/2
1.741 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1.741 * [taylor]: Taking taylor expansion of 1/2 in n
1.741 * [backup-simplify]: Simplify 1/2 into 1/2
1.741 * [taylor]: Taking taylor expansion of k in n
1.741 * [backup-simplify]: Simplify k into k
1.741 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.741 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.741 * [taylor]: Taking taylor expansion of 2 in n
1.741 * [backup-simplify]: Simplify 2 into 2
1.741 * [taylor]: Taking taylor expansion of (* n PI) in n
1.741 * [taylor]: Taking taylor expansion of n in n
1.741 * [backup-simplify]: Simplify 0 into 0
1.741 * [backup-simplify]: Simplify 1 into 1
1.741 * [taylor]: Taking taylor expansion of PI in n
1.741 * [backup-simplify]: Simplify PI into PI
1.741 * [backup-simplify]: Simplify (* 0 PI) into 0
1.741 * [backup-simplify]: Simplify (* 2 0) into 0
1.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.743 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.744 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.744 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1.744 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1.744 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1.745 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.746 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1.746 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1.746 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1.746 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1.746 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1.746 * [taylor]: Taking taylor expansion of 1/2 in k
1.747 * [backup-simplify]: Simplify 1/2 into 1/2
1.747 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1.747 * [taylor]: Taking taylor expansion of 1/2 in k
1.747 * [backup-simplify]: Simplify 1/2 into 1/2
1.747 * [taylor]: Taking taylor expansion of k in k
1.747 * [backup-simplify]: Simplify 0 into 0
1.747 * [backup-simplify]: Simplify 1 into 1
1.747 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1.747 * [taylor]: Taking taylor expansion of (log n) in k
1.747 * [taylor]: Taking taylor expansion of n in k
1.747 * [backup-simplify]: Simplify n into n
1.747 * [backup-simplify]: Simplify (log n) into (log n)
1.747 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.747 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.747 * [taylor]: Taking taylor expansion of 2 in k
1.747 * [backup-simplify]: Simplify 2 into 2
1.747 * [taylor]: Taking taylor expansion of PI in k
1.747 * [backup-simplify]: Simplify PI into PI
1.747 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.748 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.748 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.748 * [backup-simplify]: Simplify (- 0) into 0
1.748 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.749 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.750 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1.751 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.751 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.756 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1.759 * [backup-simplify]: Simplify (- 0) into 0
1.759 * [backup-simplify]: Simplify (+ 0 0) into 0
1.761 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.762 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1.764 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.764 * [taylor]: Taking taylor expansion of 0 in k
1.764 * [backup-simplify]: Simplify 0 into 0
1.764 * [backup-simplify]: Simplify 0 into 0
1.765 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1.765 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.768 * [backup-simplify]: Simplify (+ 0 0) into 0
1.768 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.769 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.769 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1.774 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.777 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.780 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.783 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1.784 * [backup-simplify]: Simplify (- 0) into 0
1.785 * [backup-simplify]: Simplify (+ 0 0) into 0
1.786 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.788 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.791 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.791 * [taylor]: Taking taylor expansion of 0 in k
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify 0 into 0
1.792 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.797 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.798 * [backup-simplify]: Simplify (+ 0 0) into 0
1.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.799 * [backup-simplify]: Simplify (- 0) into 0
1.799 * [backup-simplify]: Simplify (+ 0 0) into 0
1.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.806 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1.811 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1.821 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1.822 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1.822 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1.822 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1.822 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1.822 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1.822 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1.822 * [taylor]: Taking taylor expansion of 1/2 in k
1.822 * [backup-simplify]: Simplify 1/2 into 1/2
1.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1.822 * [taylor]: Taking taylor expansion of 1/2 in k
1.822 * [backup-simplify]: Simplify 1/2 into 1/2
1.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.822 * [taylor]: Taking taylor expansion of k in k
1.822 * [backup-simplify]: Simplify 0 into 0
1.822 * [backup-simplify]: Simplify 1 into 1
1.822 * [backup-simplify]: Simplify (/ 1 1) into 1
1.823 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1.823 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1.823 * [taylor]: Taking taylor expansion of 2 in k
1.823 * [backup-simplify]: Simplify 2 into 2
1.823 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.823 * [taylor]: Taking taylor expansion of PI in k
1.823 * [backup-simplify]: Simplify PI into PI
1.823 * [taylor]: Taking taylor expansion of n in k
1.823 * [backup-simplify]: Simplify n into n
1.823 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.823 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1.823 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1.823 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.824 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.825 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1.825 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1.825 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1.825 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1.825 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.825 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.825 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1.825 * [taylor]: Taking taylor expansion of 1/2 in n
1.825 * [backup-simplify]: Simplify 1/2 into 1/2
1.825 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1.825 * [taylor]: Taking taylor expansion of 1/2 in n
1.825 * [backup-simplify]: Simplify 1/2 into 1/2
1.825 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.825 * [taylor]: Taking taylor expansion of k in n
1.825 * [backup-simplify]: Simplify k into k
1.826 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.826 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.826 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.826 * [taylor]: Taking taylor expansion of 2 in n
1.826 * [backup-simplify]: Simplify 2 into 2
1.826 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.826 * [taylor]: Taking taylor expansion of PI in n
1.826 * [backup-simplify]: Simplify PI into PI
1.826 * [taylor]: Taking taylor expansion of n in n
1.826 * [backup-simplify]: Simplify 0 into 0
1.826 * [backup-simplify]: Simplify 1 into 1
1.826 * [backup-simplify]: Simplify (/ PI 1) into PI
1.827 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.828 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.828 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1.828 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1.828 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1.830 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.831 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
1.832 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1.832 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1.832 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.832 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.832 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1.832 * [taylor]: Taking taylor expansion of 1/2 in n
1.832 * [backup-simplify]: Simplify 1/2 into 1/2
1.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1.832 * [taylor]: Taking taylor expansion of 1/2 in n
1.832 * [backup-simplify]: Simplify 1/2 into 1/2
1.832 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.832 * [taylor]: Taking taylor expansion of k in n
1.832 * [backup-simplify]: Simplify k into k
1.833 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.833 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.833 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.833 * [taylor]: Taking taylor expansion of 2 in n
1.833 * [backup-simplify]: Simplify 2 into 2
1.833 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.833 * [taylor]: Taking taylor expansion of PI in n
1.833 * [backup-simplify]: Simplify PI into PI
1.833 * [taylor]: Taking taylor expansion of n in n
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify 1 into 1
1.833 * [backup-simplify]: Simplify (/ PI 1) into PI
1.834 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.835 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.835 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1.835 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1.835 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1.837 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.838 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
1.839 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1.839 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1.839 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1.839 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1.839 * [taylor]: Taking taylor expansion of 1/2 in k
1.839 * [backup-simplify]: Simplify 1/2 into 1/2
1.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1.839 * [taylor]: Taking taylor expansion of 1/2 in k
1.839 * [backup-simplify]: Simplify 1/2 into 1/2
1.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.839 * [taylor]: Taking taylor expansion of k in k
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify 1 into 1
1.840 * [backup-simplify]: Simplify (/ 1 1) into 1
1.840 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1.840 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.840 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.840 * [taylor]: Taking taylor expansion of 2 in k
1.840 * [backup-simplify]: Simplify 2 into 2
1.840 * [taylor]: Taking taylor expansion of PI in k
1.840 * [backup-simplify]: Simplify PI into PI
1.841 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.842 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.842 * [taylor]: Taking taylor expansion of (log n) in k
1.842 * [taylor]: Taking taylor expansion of n in k
1.842 * [backup-simplify]: Simplify n into n
1.842 * [backup-simplify]: Simplify (log n) into (log n)
1.842 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.843 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.843 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1.843 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.844 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1.845 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1.846 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1.848 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.850 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1.852 * [backup-simplify]: Simplify (- 0) into 0
1.853 * [backup-simplify]: Simplify (+ 0 0) into 0
1.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.855 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1.857 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.857 * [taylor]: Taking taylor expansion of 0 in k
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1.864 * [backup-simplify]: Simplify (- 0) into 0
1.865 * [backup-simplify]: Simplify (+ 0 0) into 0
1.866 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.868 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1.870 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.871 * [taylor]: Taking taylor expansion of 0 in k
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.873 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.879 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1.881 * [backup-simplify]: Simplify (- 0) into 0
1.881 * [backup-simplify]: Simplify (+ 0 0) into 0
1.883 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.885 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1.887 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.888 * [taylor]: Taking taylor expansion of 0 in k
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1.889 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1.889 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1.889 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1.889 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1.889 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1.889 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1.889 * [taylor]: Taking taylor expansion of 1/2 in k
1.889 * [backup-simplify]: Simplify 1/2 into 1/2
1.889 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.889 * [taylor]: Taking taylor expansion of k in k
1.889 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify 1 into 1
1.890 * [backup-simplify]: Simplify (/ 1 1) into 1
1.890 * [taylor]: Taking taylor expansion of 1/2 in k
1.890 * [backup-simplify]: Simplify 1/2 into 1/2
1.890 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1.890 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1.890 * [taylor]: Taking taylor expansion of -2 in k
1.890 * [backup-simplify]: Simplify -2 into -2
1.890 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.890 * [taylor]: Taking taylor expansion of PI in k
1.890 * [backup-simplify]: Simplify PI into PI
1.890 * [taylor]: Taking taylor expansion of n in k
1.890 * [backup-simplify]: Simplify n into n
1.890 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.890 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1.890 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1.891 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.891 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.891 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1.891 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
1.892 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1.892 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1.892 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1.892 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1.892 * [taylor]: Taking taylor expansion of 1/2 in n
1.892 * [backup-simplify]: Simplify 1/2 into 1/2
1.892 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.892 * [taylor]: Taking taylor expansion of k in n
1.892 * [backup-simplify]: Simplify k into k
1.892 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.892 * [taylor]: Taking taylor expansion of 1/2 in n
1.892 * [backup-simplify]: Simplify 1/2 into 1/2
1.892 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.892 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.892 * [taylor]: Taking taylor expansion of -2 in n
1.892 * [backup-simplify]: Simplify -2 into -2
1.892 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.892 * [taylor]: Taking taylor expansion of PI in n
1.892 * [backup-simplify]: Simplify PI into PI
1.892 * [taylor]: Taking taylor expansion of n in n
1.892 * [backup-simplify]: Simplify 0 into 0
1.892 * [backup-simplify]: Simplify 1 into 1
1.893 * [backup-simplify]: Simplify (/ PI 1) into PI
1.893 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.894 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.894 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1.895 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1.896 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.898 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1.902 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1.902 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1.902 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1.902 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1.902 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1.902 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1.902 * [taylor]: Taking taylor expansion of 1/2 in n
1.902 * [backup-simplify]: Simplify 1/2 into 1/2
1.903 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.903 * [taylor]: Taking taylor expansion of k in n
1.903 * [backup-simplify]: Simplify k into k
1.903 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.903 * [taylor]: Taking taylor expansion of 1/2 in n
1.903 * [backup-simplify]: Simplify 1/2 into 1/2
1.903 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.903 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.903 * [taylor]: Taking taylor expansion of -2 in n
1.903 * [backup-simplify]: Simplify -2 into -2
1.903 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.903 * [taylor]: Taking taylor expansion of PI in n
1.903 * [backup-simplify]: Simplify PI into PI
1.903 * [taylor]: Taking taylor expansion of n in n
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 1 into 1
1.903 * [backup-simplify]: Simplify (/ PI 1) into PI
1.904 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.905 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.905 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1.905 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1.906 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.908 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1.909 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1.909 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1.909 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1.909 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1.909 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1.909 * [taylor]: Taking taylor expansion of 1/2 in k
1.909 * [backup-simplify]: Simplify 1/2 into 1/2
1.909 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.909 * [taylor]: Taking taylor expansion of k in k
1.909 * [backup-simplify]: Simplify 0 into 0
1.909 * [backup-simplify]: Simplify 1 into 1
1.910 * [backup-simplify]: Simplify (/ 1 1) into 1
1.910 * [taylor]: Taking taylor expansion of 1/2 in k
1.910 * [backup-simplify]: Simplify 1/2 into 1/2
1.910 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1.910 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1.910 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1.910 * [taylor]: Taking taylor expansion of -2 in k
1.910 * [backup-simplify]: Simplify -2 into -2
1.910 * [taylor]: Taking taylor expansion of PI in k
1.910 * [backup-simplify]: Simplify PI into PI
1.910 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.911 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.911 * [taylor]: Taking taylor expansion of (log n) in k
1.911 * [taylor]: Taking taylor expansion of n in k
1.912 * [backup-simplify]: Simplify n into n
1.912 * [backup-simplify]: Simplify (log n) into (log n)
1.912 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.912 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.912 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.914 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1.915 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1.916 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1.917 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.919 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1.922 * [backup-simplify]: Simplify (+ 0 0) into 0
1.924 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.925 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1.927 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1.927 * [taylor]: Taking taylor expansion of 0 in k
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.930 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1.933 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1.935 * [backup-simplify]: Simplify (+ 0 0) into 0
1.937 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.938 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1.941 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.941 * [taylor]: Taking taylor expansion of 0 in k
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.943 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.949 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
1.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1.952 * [backup-simplify]: Simplify (+ 0 0) into 0
1.953 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.955 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1.958 * [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
1.958 * [taylor]: Taking taylor expansion of 0 in k
1.958 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify 0 into 0
1.959 * [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)))))
1.959 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1.959 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1.959 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1.959 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.959 * [taylor]: Taking taylor expansion of 2 in n
1.959 * [backup-simplify]: Simplify 2 into 2
1.959 * [taylor]: Taking taylor expansion of (* n PI) in n
1.959 * [taylor]: Taking taylor expansion of n in n
1.959 * [backup-simplify]: Simplify 0 into 0
1.959 * [backup-simplify]: Simplify 1 into 1
1.959 * [taylor]: Taking taylor expansion of PI in n
1.960 * [backup-simplify]: Simplify PI into PI
1.960 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.960 * [taylor]: Taking taylor expansion of 2 in n
1.960 * [backup-simplify]: Simplify 2 into 2
1.960 * [taylor]: Taking taylor expansion of (* n PI) in n
1.960 * [taylor]: Taking taylor expansion of n in n
1.960 * [backup-simplify]: Simplify 0 into 0
1.960 * [backup-simplify]: Simplify 1 into 1
1.960 * [taylor]: Taking taylor expansion of PI in n
1.960 * [backup-simplify]: Simplify PI into PI
1.960 * [backup-simplify]: Simplify (* 0 PI) into 0
1.961 * [backup-simplify]: Simplify (* 2 0) into 0
1.961 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.964 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.964 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.965 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.966 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.969 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1.972 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1.972 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1.975 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1.979 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1.983 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1.984 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1.984 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1.984 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.984 * [taylor]: Taking taylor expansion of 2 in n
1.984 * [backup-simplify]: Simplify 2 into 2
1.984 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.984 * [taylor]: Taking taylor expansion of PI in n
1.984 * [backup-simplify]: Simplify PI into PI
1.984 * [taylor]: Taking taylor expansion of n in n
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify 1 into 1
1.985 * [backup-simplify]: Simplify (/ PI 1) into PI
1.985 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.985 * [taylor]: Taking taylor expansion of 2 in n
1.985 * [backup-simplify]: Simplify 2 into 2
1.985 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.985 * [taylor]: Taking taylor expansion of PI in n
1.985 * [backup-simplify]: Simplify PI into PI
1.985 * [taylor]: Taking taylor expansion of n in n
1.985 * [backup-simplify]: Simplify 0 into 0
1.985 * [backup-simplify]: Simplify 1 into 1
1.986 * [backup-simplify]: Simplify (/ PI 1) into PI
1.986 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.987 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.989 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.989 * [backup-simplify]: Simplify 0 into 0
1.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.990 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.992 * [backup-simplify]: Simplify 0 into 0
1.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.994 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.995 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1.995 * [backup-simplify]: Simplify 0 into 0
1.996 * [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
1.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1.997 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1.997 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1.997 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.997 * [taylor]: Taking taylor expansion of -2 in n
1.997 * [backup-simplify]: Simplify -2 into -2
1.997 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.997 * [taylor]: Taking taylor expansion of PI in n
1.997 * [backup-simplify]: Simplify PI into PI
1.997 * [taylor]: Taking taylor expansion of n in n
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify 1 into 1
1.998 * [backup-simplify]: Simplify (/ PI 1) into PI
1.998 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.998 * [taylor]: Taking taylor expansion of -2 in n
1.998 * [backup-simplify]: Simplify -2 into -2
1.998 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.998 * [taylor]: Taking taylor expansion of PI in n
1.998 * [backup-simplify]: Simplify PI into PI
1.998 * [taylor]: Taking taylor expansion of n in n
1.998 * [backup-simplify]: Simplify 0 into 0
1.998 * [backup-simplify]: Simplify 1 into 1
1.998 * [backup-simplify]: Simplify (/ PI 1) into PI
1.999 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.999 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.000 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.000 * [backup-simplify]: Simplify 0 into 0
2.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.001 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.001 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.002 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.002 * [backup-simplify]: Simplify 0 into 0
2.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.004 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.005 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.005 * [backup-simplify]: Simplify 0 into 0
2.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.007 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
2.007 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.008 * [backup-simplify]: Simplify (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
2.008 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
2.008 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
2.008 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.008 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.008 * [taylor]: Taking taylor expansion of k in k
2.008 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify 1 into 1
2.008 * [backup-simplify]: Simplify (/ 1 1) into 1
2.008 * [backup-simplify]: Simplify (sqrt 0) into 0
2.009 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.009 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
2.009 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
2.009 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
2.009 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.009 * [taylor]: Taking taylor expansion of 1/2 in k
2.009 * [backup-simplify]: Simplify 1/2 into 1/2
2.009 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.009 * [taylor]: Taking taylor expansion of 1/2 in k
2.009 * [backup-simplify]: Simplify 1/2 into 1/2
2.009 * [taylor]: Taking taylor expansion of k in k
2.009 * [backup-simplify]: Simplify 0 into 0
2.009 * [backup-simplify]: Simplify 1 into 1
2.009 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.009 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.009 * [taylor]: Taking taylor expansion of 2 in k
2.009 * [backup-simplify]: Simplify 2 into 2
2.009 * [taylor]: Taking taylor expansion of (* n PI) in k
2.009 * [taylor]: Taking taylor expansion of n in k
2.009 * [backup-simplify]: Simplify n into n
2.009 * [taylor]: Taking taylor expansion of PI in k
2.009 * [backup-simplify]: Simplify PI into PI
2.009 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.010 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.010 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.010 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.010 * [backup-simplify]: Simplify (- 0) into 0
2.010 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.010 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.011 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.011 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.011 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.011 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.011 * [taylor]: Taking taylor expansion of k in n
2.011 * [backup-simplify]: Simplify k into k
2.011 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.011 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.011 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.011 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.011 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.011 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.011 * [taylor]: Taking taylor expansion of 1/2 in n
2.011 * [backup-simplify]: Simplify 1/2 into 1/2
2.011 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.011 * [taylor]: Taking taylor expansion of 1/2 in n
2.011 * [backup-simplify]: Simplify 1/2 into 1/2
2.011 * [taylor]: Taking taylor expansion of k in n
2.011 * [backup-simplify]: Simplify k into k
2.011 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.011 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.011 * [taylor]: Taking taylor expansion of 2 in n
2.011 * [backup-simplify]: Simplify 2 into 2
2.011 * [taylor]: Taking taylor expansion of (* n PI) in n
2.011 * [taylor]: Taking taylor expansion of n in n
2.011 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify 1 into 1
2.011 * [taylor]: Taking taylor expansion of PI in n
2.011 * [backup-simplify]: Simplify PI into PI
2.011 * [backup-simplify]: Simplify (* 0 PI) into 0
2.012 * [backup-simplify]: Simplify (* 2 0) into 0
2.013 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.014 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.014 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.014 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.014 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.014 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.015 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.016 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.017 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.017 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.017 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.017 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.017 * [taylor]: Taking taylor expansion of k in n
2.017 * [backup-simplify]: Simplify k into k
2.017 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.017 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.017 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.017 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.017 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.017 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.017 * [taylor]: Taking taylor expansion of 1/2 in n
2.017 * [backup-simplify]: Simplify 1/2 into 1/2
2.017 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.017 * [taylor]: Taking taylor expansion of 1/2 in n
2.017 * [backup-simplify]: Simplify 1/2 into 1/2
2.017 * [taylor]: Taking taylor expansion of k in n
2.017 * [backup-simplify]: Simplify k into k
2.017 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.017 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.017 * [taylor]: Taking taylor expansion of 2 in n
2.017 * [backup-simplify]: Simplify 2 into 2
2.017 * [taylor]: Taking taylor expansion of (* n PI) in n
2.017 * [taylor]: Taking taylor expansion of n in n
2.017 * [backup-simplify]: Simplify 0 into 0
2.017 * [backup-simplify]: Simplify 1 into 1
2.017 * [taylor]: Taking taylor expansion of PI in n
2.017 * [backup-simplify]: Simplify PI into PI
2.017 * [backup-simplify]: Simplify (* 0 PI) into 0
2.018 * [backup-simplify]: Simplify (* 2 0) into 0
2.019 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.021 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.022 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.022 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.022 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.022 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.024 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.025 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.026 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.027 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k)))
2.027 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
2.027 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.027 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.027 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.027 * [taylor]: Taking taylor expansion of 1/2 in k
2.027 * [backup-simplify]: Simplify 1/2 into 1/2
2.028 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.028 * [taylor]: Taking taylor expansion of 1/2 in k
2.028 * [backup-simplify]: Simplify 1/2 into 1/2
2.028 * [taylor]: Taking taylor expansion of k in k
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify 1 into 1
2.028 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.028 * [taylor]: Taking taylor expansion of (log n) in k
2.028 * [taylor]: Taking taylor expansion of n in k
2.028 * [backup-simplify]: Simplify n into n
2.028 * [backup-simplify]: Simplify (log n) into (log n)
2.028 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.028 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.028 * [taylor]: Taking taylor expansion of 2 in k
2.028 * [backup-simplify]: Simplify 2 into 2
2.028 * [taylor]: Taking taylor expansion of PI in k
2.028 * [backup-simplify]: Simplify PI into PI
2.029 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.030 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.030 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.030 * [backup-simplify]: Simplify (- 0) into 0
2.031 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.035 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.036 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.037 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.037 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.037 * [taylor]: Taking taylor expansion of k in k
2.037 * [backup-simplify]: Simplify 0 into 0
2.037 * [backup-simplify]: Simplify 1 into 1
2.038 * [backup-simplify]: Simplify (/ 1 1) into 1
2.038 * [backup-simplify]: Simplify (sqrt 0) into 0
2.039 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.041 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
2.041 * [backup-simplify]: Simplify 0 into 0
2.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.043 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.046 * [backup-simplify]: Simplify (- 0) into 0
2.046 * [backup-simplify]: Simplify (+ 0 0) into 0
2.047 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.049 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.050 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.051 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
2.051 * [taylor]: Taking taylor expansion of 0 in k
2.051 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.052 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.053 * [backup-simplify]: Simplify (+ 0 0) into 0
2.054 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.054 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.054 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.057 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.059 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.060 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.063 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.064 * [backup-simplify]: Simplify (- 0) into 0
2.064 * [backup-simplify]: Simplify (+ 0 0) into 0
2.065 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.066 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.067 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.068 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
2.069 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
2.069 * [taylor]: Taking taylor expansion of 0 in k
2.069 * [backup-simplify]: Simplify 0 into 0
2.069 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.071 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.072 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.073 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.075 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.075 * [backup-simplify]: Simplify (+ 0 0) into 0
2.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.076 * [backup-simplify]: Simplify (- 0) into 0
2.076 * [backup-simplify]: Simplify (+ 0 0) into 0
2.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.080 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.088 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.092 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.101 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
2.103 * [backup-simplify]: Simplify (- 0) into 0
2.104 * [backup-simplify]: Simplify (+ 0 0) into 0
2.105 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.107 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.110 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
2.113 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
2.113 * [taylor]: Taking taylor expansion of 0 in k
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.121 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
2.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.128 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.129 * [backup-simplify]: Simplify (+ 0 0) into 0
2.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.131 * [backup-simplify]: Simplify (- 0) into 0
2.131 * [backup-simplify]: Simplify (+ 0 0) into 0
2.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.140 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.161 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.174 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.192 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
2.192 * [backup-simplify]: Simplify (/ (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
2.192 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
2.192 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
2.192 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.192 * [taylor]: Taking taylor expansion of k in k
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify 1 into 1
2.192 * [backup-simplify]: Simplify (sqrt 0) into 0
2.193 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.193 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.193 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.193 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.193 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.193 * [taylor]: Taking taylor expansion of 1/2 in k
2.193 * [backup-simplify]: Simplify 1/2 into 1/2
2.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.193 * [taylor]: Taking taylor expansion of 1/2 in k
2.193 * [backup-simplify]: Simplify 1/2 into 1/2
2.193 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.193 * [taylor]: Taking taylor expansion of k in k
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify 1 into 1
2.194 * [backup-simplify]: Simplify (/ 1 1) into 1
2.194 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.194 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.194 * [taylor]: Taking taylor expansion of 2 in k
2.194 * [backup-simplify]: Simplify 2 into 2
2.194 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.194 * [taylor]: Taking taylor expansion of PI in k
2.194 * [backup-simplify]: Simplify PI into PI
2.194 * [taylor]: Taking taylor expansion of n in k
2.194 * [backup-simplify]: Simplify n into n
2.194 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.194 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.194 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.194 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.194 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.195 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.195 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.195 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.195 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.195 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.195 * [taylor]: Taking taylor expansion of k in n
2.195 * [backup-simplify]: Simplify k into k
2.195 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.195 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.195 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.195 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.195 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.195 * [taylor]: Taking taylor expansion of 1/2 in n
2.195 * [backup-simplify]: Simplify 1/2 into 1/2
2.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.195 * [taylor]: Taking taylor expansion of 1/2 in n
2.195 * [backup-simplify]: Simplify 1/2 into 1/2
2.195 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.195 * [taylor]: Taking taylor expansion of k in n
2.195 * [backup-simplify]: Simplify k into k
2.195 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.195 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.195 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.195 * [taylor]: Taking taylor expansion of 2 in n
2.195 * [backup-simplify]: Simplify 2 into 2
2.195 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.195 * [taylor]: Taking taylor expansion of PI in n
2.195 * [backup-simplify]: Simplify PI into PI
2.195 * [taylor]: Taking taylor expansion of n in n
2.195 * [backup-simplify]: Simplify 0 into 0
2.195 * [backup-simplify]: Simplify 1 into 1
2.196 * [backup-simplify]: Simplify (/ PI 1) into PI
2.196 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.197 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.197 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.197 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.197 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.198 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.198 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.199 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.199 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.199 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.199 * [taylor]: Taking taylor expansion of k in n
2.199 * [backup-simplify]: Simplify k into k
2.199 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.199 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.199 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.199 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.199 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.199 * [taylor]: Taking taylor expansion of 1/2 in n
2.199 * [backup-simplify]: Simplify 1/2 into 1/2
2.199 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.199 * [taylor]: Taking taylor expansion of 1/2 in n
2.199 * [backup-simplify]: Simplify 1/2 into 1/2
2.199 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.199 * [taylor]: Taking taylor expansion of k in n
2.199 * [backup-simplify]: Simplify k into k
2.200 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.200 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.200 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.200 * [taylor]: Taking taylor expansion of 2 in n
2.200 * [backup-simplify]: Simplify 2 into 2
2.200 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.200 * [taylor]: Taking taylor expansion of PI in n
2.200 * [backup-simplify]: Simplify PI into PI
2.200 * [taylor]: Taking taylor expansion of n in n
2.200 * [backup-simplify]: Simplify 0 into 0
2.200 * [backup-simplify]: Simplify 1 into 1
2.200 * [backup-simplify]: Simplify (/ PI 1) into PI
2.200 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.201 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.201 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.201 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.201 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.202 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.203 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.203 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.204 * [backup-simplify]: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
2.204 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
2.204 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.204 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.204 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.204 * [taylor]: Taking taylor expansion of 1/2 in k
2.204 * [backup-simplify]: Simplify 1/2 into 1/2
2.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.204 * [taylor]: Taking taylor expansion of 1/2 in k
2.204 * [backup-simplify]: Simplify 1/2 into 1/2
2.204 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.204 * [taylor]: Taking taylor expansion of k in k
2.204 * [backup-simplify]: Simplify 0 into 0
2.204 * [backup-simplify]: Simplify 1 into 1
2.205 * [backup-simplify]: Simplify (/ 1 1) into 1
2.205 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.205 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.205 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.205 * [taylor]: Taking taylor expansion of 2 in k
2.205 * [backup-simplify]: Simplify 2 into 2
2.205 * [taylor]: Taking taylor expansion of PI in k
2.205 * [backup-simplify]: Simplify PI into PI
2.205 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.206 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.206 * [taylor]: Taking taylor expansion of (log n) in k
2.206 * [taylor]: Taking taylor expansion of n in k
2.206 * [backup-simplify]: Simplify n into n
2.206 * [backup-simplify]: Simplify (log n) into (log n)
2.206 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.206 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.207 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.207 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.207 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.208 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.209 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.209 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.209 * [taylor]: Taking taylor expansion of k in k
2.209 * [backup-simplify]: Simplify 0 into 0
2.209 * [backup-simplify]: Simplify 1 into 1
2.209 * [backup-simplify]: Simplify (sqrt 0) into 0
2.210 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.210 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
2.210 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.211 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.213 * [backup-simplify]: Simplify (- 0) into 0
2.213 * [backup-simplify]: Simplify (+ 0 0) into 0
2.214 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.215 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.216 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.217 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
2.217 * [taylor]: Taking taylor expansion of 0 in k
2.217 * [backup-simplify]: Simplify 0 into 0
2.217 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.219 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.220 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.223 * [backup-simplify]: Simplify (- 0) into 0
2.223 * [backup-simplify]: Simplify (+ 0 0) into 0
2.225 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.226 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.229 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.229 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
2.231 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
2.231 * [taylor]: Taking taylor expansion of 0 in k
2.231 * [backup-simplify]: Simplify 0 into 0
2.231 * [backup-simplify]: Simplify 0 into 0
2.231 * [backup-simplify]: Simplify 0 into 0
2.232 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.233 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.234 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.236 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.239 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.240 * [backup-simplify]: Simplify (- 0) into 0
2.240 * [backup-simplify]: Simplify (+ 0 0) into 0
2.241 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.242 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.244 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.246 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
2.246 * [taylor]: Taking taylor expansion of 0 in k
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.249 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.250 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.255 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
2.255 * [backup-simplify]: Simplify (/ (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
2.255 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
2.255 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
2.255 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.255 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.255 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.255 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.255 * [taylor]: Taking taylor expansion of 1/2 in k
2.255 * [backup-simplify]: Simplify 1/2 into 1/2
2.255 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.255 * [taylor]: Taking taylor expansion of k in k
2.255 * [backup-simplify]: Simplify 0 into 0
2.255 * [backup-simplify]: Simplify 1 into 1
2.255 * [backup-simplify]: Simplify (/ 1 1) into 1
2.256 * [taylor]: Taking taylor expansion of 1/2 in k
2.256 * [backup-simplify]: Simplify 1/2 into 1/2
2.256 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.256 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.256 * [taylor]: Taking taylor expansion of -2 in k
2.256 * [backup-simplify]: Simplify -2 into -2
2.256 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.256 * [taylor]: Taking taylor expansion of PI in k
2.256 * [backup-simplify]: Simplify PI into PI
2.256 * [taylor]: Taking taylor expansion of n in k
2.256 * [backup-simplify]: Simplify n into n
2.256 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.256 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.256 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.256 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.256 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.256 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.257 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
2.257 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.257 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.257 * [taylor]: Taking taylor expansion of -1 in k
2.257 * [backup-simplify]: Simplify -1 into -1
2.257 * [taylor]: Taking taylor expansion of k in k
2.257 * [backup-simplify]: Simplify 0 into 0
2.257 * [backup-simplify]: Simplify 1 into 1
2.257 * [backup-simplify]: Simplify (/ -1 1) into -1
2.257 * [backup-simplify]: Simplify (sqrt 0) into 0
2.258 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.258 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
2.258 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.258 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.258 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.258 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.258 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.259 * [taylor]: Taking taylor expansion of 1/2 in n
2.259 * [backup-simplify]: Simplify 1/2 into 1/2
2.259 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.259 * [taylor]: Taking taylor expansion of k in n
2.259 * [backup-simplify]: Simplify k into k
2.259 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.259 * [taylor]: Taking taylor expansion of 1/2 in n
2.259 * [backup-simplify]: Simplify 1/2 into 1/2
2.259 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.259 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.259 * [taylor]: Taking taylor expansion of -2 in n
2.259 * [backup-simplify]: Simplify -2 into -2
2.259 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.259 * [taylor]: Taking taylor expansion of PI in n
2.259 * [backup-simplify]: Simplify PI into PI
2.259 * [taylor]: Taking taylor expansion of n in n
2.259 * [backup-simplify]: Simplify 0 into 0
2.259 * [backup-simplify]: Simplify 1 into 1
2.260 * [backup-simplify]: Simplify (/ PI 1) into PI
2.260 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.261 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.261 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.261 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.263 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.264 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.265 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.265 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.265 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.265 * [taylor]: Taking taylor expansion of -1 in n
2.265 * [backup-simplify]: Simplify -1 into -1
2.265 * [taylor]: Taking taylor expansion of k in n
2.265 * [backup-simplify]: Simplify k into k
2.265 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.266 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.266 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.267 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.267 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.267 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.267 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.267 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.267 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.267 * [taylor]: Taking taylor expansion of 1/2 in n
2.267 * [backup-simplify]: Simplify 1/2 into 1/2
2.267 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.267 * [taylor]: Taking taylor expansion of k in n
2.267 * [backup-simplify]: Simplify k into k
2.267 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.268 * [taylor]: Taking taylor expansion of 1/2 in n
2.268 * [backup-simplify]: Simplify 1/2 into 1/2
2.268 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.268 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.268 * [taylor]: Taking taylor expansion of -2 in n
2.268 * [backup-simplify]: Simplify -2 into -2
2.268 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.268 * [taylor]: Taking taylor expansion of PI in n
2.268 * [backup-simplify]: Simplify PI into PI
2.268 * [taylor]: Taking taylor expansion of n in n
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.268 * [backup-simplify]: Simplify (/ PI 1) into PI
2.269 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.270 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.270 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.270 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.272 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.273 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.274 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.274 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.274 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.274 * [taylor]: Taking taylor expansion of -1 in n
2.274 * [backup-simplify]: Simplify -1 into -1
2.274 * [taylor]: Taking taylor expansion of k in n
2.274 * [backup-simplify]: Simplify k into k
2.274 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.274 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.274 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.276 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.276 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
2.276 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.276 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.276 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.276 * [taylor]: Taking taylor expansion of 1/2 in k
2.276 * [backup-simplify]: Simplify 1/2 into 1/2
2.276 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.276 * [taylor]: Taking taylor expansion of k in k
2.276 * [backup-simplify]: Simplify 0 into 0
2.276 * [backup-simplify]: Simplify 1 into 1
2.277 * [backup-simplify]: Simplify (/ 1 1) into 1
2.277 * [taylor]: Taking taylor expansion of 1/2 in k
2.277 * [backup-simplify]: Simplify 1/2 into 1/2
2.277 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.277 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.277 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.277 * [taylor]: Taking taylor expansion of -2 in k
2.277 * [backup-simplify]: Simplify -2 into -2
2.277 * [taylor]: Taking taylor expansion of PI in k
2.277 * [backup-simplify]: Simplify PI into PI
2.278 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.279 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.279 * [taylor]: Taking taylor expansion of (log n) in k
2.279 * [taylor]: Taking taylor expansion of n in k
2.279 * [backup-simplify]: Simplify n into n
2.279 * [backup-simplify]: Simplify (log n) into (log n)
2.279 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.280 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.280 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.281 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.282 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.283 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.283 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.283 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.283 * [taylor]: Taking taylor expansion of -1 in k
2.283 * [backup-simplify]: Simplify -1 into -1
2.283 * [taylor]: Taking taylor expansion of k in k
2.284 * [backup-simplify]: Simplify 0 into 0
2.284 * [backup-simplify]: Simplify 1 into 1
2.284 * [backup-simplify]: Simplify (/ -1 1) into -1
2.284 * [backup-simplify]: Simplify (sqrt 0) into 0
2.286 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.287 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
2.288 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
2.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.290 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.293 * [backup-simplify]: Simplify (+ 0 0) into 0
2.295 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.296 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.298 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.299 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
2.299 * [taylor]: Taking taylor expansion of 0 in k
2.299 * [backup-simplify]: Simplify 0 into 0
2.299 * [backup-simplify]: Simplify 0 into 0
2.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.303 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.305 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.306 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.308 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.312 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
2.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.313 * [backup-simplify]: Simplify (+ 0 0) into 0
2.315 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.316 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.319 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.319 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.320 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
2.321 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
2.321 * [taylor]: Taking taylor expansion of 0 in k
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 0 into 0
2.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.330 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.331 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.335 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
2.335 * * * [progress]: simplifying candidates
2.335 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.336 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.336 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.336 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.336 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.336 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.336 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.336 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
2.336 * * * * [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)))>
2.336 * * * * [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)))>
2.336 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.336 * * * * [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)))>
2.336 * * * * [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)))>
2.336 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.336 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
2.336 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
2.337 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
2.337 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.337 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.337 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.337 * * * * [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)))>
2.337 * * * * [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)))>
2.337 * * * * [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)))>
2.337 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))>
2.337 * * * * [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)))>
2.337 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.337 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.337 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.337 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.337 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.337 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.338 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.338 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.338 * * * * [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)))>
2.338 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.338 * * * * [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)))>
2.338 * * * * [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)))>
2.338 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.338 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.338 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.338 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.338 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2))) (sqrt k)))>
2.338 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.338 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.338 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
2.338 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1))>
2.338 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.339 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.339 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.339 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.339 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
2.339 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.339 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.339 * * * * [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)))))>
2.339 * * * * [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)))))>
2.339 * * * * [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)))))>
2.339 * * * * [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)))))>
2.339 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (sqrt k))))>
2.339 * * * * [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)))))>
2.339 * * * * [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)))))>
2.339 * * * * [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)))))>
2.339 * * * * [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))))>
2.339 * * * * [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)))))>
2.340 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.340 * * * * [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)))))>
2.340 * * * * [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)))))>
2.340 * * * * [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)))))>
2.340 * * * * [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))))>
2.340 * * * * [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)))))>
2.340 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.340 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
2.340 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
2.340 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.340 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
2.340 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.340 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
2.340 * * * * [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)))))>
2.340 * * * * [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)))))>
2.340 * * * * [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)))))>
2.341 * * * * [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))))>
2.341 * * * * [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)))))>
2.341 * * * * [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))))>
2.341 * * * * [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)))))>
2.341 * * * * [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)))))>
2.341 * * * * [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)))))>
2.341 * * * * [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))))>
2.341 * * * * [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)))))>
2.341 * * * * [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))))>
2.341 * * * * [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)))))>
2.341 * * * * [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)))))>
2.341 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.341 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.341 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.342 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.342 * * * * [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)))))>
2.342 * * * * [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)))))>
2.342 * * * * [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)))))>
2.342 * * * * [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))))>
2.342 * * * * [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)))))>
2.342 * * * * [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))))>
2.342 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.342 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
2.342 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
2.342 * * * * [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))))>
2.342 * * * * [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))))>
2.342 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.342 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
2.342 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.343 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.343 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
2.343 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
2.343 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
2.343 * * * * [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)))))))>
2.343 * * * * [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)))))))>
2.343 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
2.343 * * * * [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)))))>
2.343 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
2.343 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.343 * * * * [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)))>
2.343 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
2.343 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
2.343 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.343 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.344 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.344 * * * * [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)))))))))))))))))))))))>
2.344 * * * * [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)))))))))>
2.344 * * * * [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))))))))))))>
2.347 * [simplify]: Simplifying:
  (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (log n) (log 2)) (log PI))
  (+ (log (* n 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* n 2) (* (cbrt PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) 1)
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) 1)
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1)
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1)
  (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))
  (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))
  (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
2.352 * * [simplify]: iteration 0: 271 enodes
2.450 * * [simplify]: iteration 1: 662 enodes
2.650 * * [simplify]: iteration 2: 2001 enodes
3.145 * * [simplify]: iteration complete: 2001 enodes
3.145 * * [simplify]: Extracting #0: cost 99 inf + 0
3.146 * * [simplify]: Extracting #1: cost 342 inf + 1
3.148 * * [simplify]: Extracting #2: cost 590 inf + 1931
3.152 * * [simplify]: Extracting #3: cost 627 inf + 25636
3.173 * * [simplify]: Extracting #4: cost 438 inf + 90869
3.204 * * [simplify]: Extracting #5: cost 214 inf + 189941
3.236 * * [simplify]: Extracting #6: cost 112 inf + 249014
3.309 * * [simplify]: Extracting #7: cost 30 inf + 300427
3.381 * * [simplify]: Extracting #8: cost 3 inf + 322021
3.487 * * [simplify]: Extracting #9: cost 0 inf + 324899
3.576 * * [simplify]: Extracting #10: cost 0 inf + 324779
3.649 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* 2 PI) n) (sqrt (- 1/2 (/ k 2))))
  (* (* 2 PI) n)
  (pow (* (* 2 PI) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* 2 PI) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* 2 PI) n)
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (- (/ k 2)))
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (- (/ k 2)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (exp (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (log (* (* 2 PI) n))
  (log (* (* 2 PI) n))
  (log (* (* 2 PI) n))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* (* n (* n n)) 8) PI) (* PI PI))
  (* (* (* (* PI PI) PI) (* n 2)) (* (* n 2) (* n 2)))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* 2 PI) n) (* (* (* 2 PI) n) (* (* 2 PI) n)))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* (cbrt PI) (cbrt PI)) (* n 2))
  (* (* (sqrt PI) 2) n)
  (* n 2)
  (* 2 PI)
  (real->posit16 (* (* 2 PI) n))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (exp (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (/ (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (* (cbrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (/ (sqrt (* (* 2 PI) n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* 2 PI) n)) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (/ (sqrt (* (* 2 PI) n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* 2 PI) n)) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (fabs (cbrt k)))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt k))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- (/ k 2))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))))
  (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
  (real->posit16 (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (- (+ (+ (+ (* 1/4 (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* (* k k) (log n)) (log (* 2 PI))))) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* (* (log n) (log n)) (* k k)) 1/8))) (exp (* (log (* (* 2 PI) n)) 1/2))) (* (* (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (exp (* (log (* (* 2 PI) n)) 1/2))) (* k k))) (* 1/2 (* k (+ (* (exp (* (log (* (* 2 PI) n)) 1/2)) (log n)) (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/2)))))))
  (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (- (+ (- (* (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/2))) (* (* (* k k) (log n)) +nan.0)) (* (log (* 2 PI)) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* k k) +nan.0)))) (+ (- (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* +nan.0 (* (* (log n) (log n)) (* k k)))) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* +nan.0 k))) (+ (- (* (exp (* (log (* (* 2 PI) n)) 1/2)) +nan.0) (* (* (log (* 2 PI)) (log (* 2 PI))) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* k k) +nan.0)))) (+ (+ (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* (* k k) (log n)) +nan.0)) (- (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* k k) +nan.0)))) (- (* +nan.0 (* (* (log (* 2 PI)) k) (exp (* (log (* (* 2 PI) n)) 1/2)))) (* (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* +nan.0 k)) (log n))))))))
  (+ (/ (- (* +nan.0 (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2)))))) (* (* k k) k)) (* +nan.0 (- (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2)))) k) (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2)))) (* k k)))))
  (+ (* (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) k) (- +nan.0)) (* +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))))))))
3.659 * * * [progress]: adding candidates to table
5.063 * * [progress]: iteration 2 / 4
5.063 * * * [progress]: picking best candidate
5.113 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * [progress]: localizing error
5.163 * * * [progress]: generating rewritten candidates
5.163 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
5.194 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
5.211 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
5.216 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
5.251 * * * [progress]: generating series expansions
5.251 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
5.252 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
5.252 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
5.252 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
5.252 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
5.252 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
5.252 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
5.252 * [taylor]: Taking taylor expansion of 1/2 in k
5.252 * [backup-simplify]: Simplify 1/2 into 1/2
5.252 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.252 * [taylor]: Taking taylor expansion of 1 in k
5.252 * [backup-simplify]: Simplify 1 into 1
5.252 * [taylor]: Taking taylor expansion of k in k
5.252 * [backup-simplify]: Simplify 0 into 0
5.252 * [backup-simplify]: Simplify 1 into 1
5.252 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.252 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.252 * [taylor]: Taking taylor expansion of 2 in k
5.252 * [backup-simplify]: Simplify 2 into 2
5.252 * [taylor]: Taking taylor expansion of (* n PI) in k
5.252 * [taylor]: Taking taylor expansion of n in k
5.252 * [backup-simplify]: Simplify n into n
5.252 * [taylor]: Taking taylor expansion of PI in k
5.252 * [backup-simplify]: Simplify PI into PI
5.252 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.252 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.253 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.253 * [backup-simplify]: Simplify (- 0) into 0
5.253 * [backup-simplify]: Simplify (+ 1 0) into 1
5.253 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.254 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.254 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.254 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
5.254 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
5.254 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
5.254 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
5.254 * [taylor]: Taking taylor expansion of 1/2 in n
5.254 * [backup-simplify]: Simplify 1/2 into 1/2
5.254 * [taylor]: Taking taylor expansion of (- 1 k) in n
5.254 * [taylor]: Taking taylor expansion of 1 in n
5.254 * [backup-simplify]: Simplify 1 into 1
5.254 * [taylor]: Taking taylor expansion of k in n
5.254 * [backup-simplify]: Simplify k into k
5.254 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.254 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.254 * [taylor]: Taking taylor expansion of 2 in n
5.254 * [backup-simplify]: Simplify 2 into 2
5.254 * [taylor]: Taking taylor expansion of (* n PI) in n
5.254 * [taylor]: Taking taylor expansion of n in n
5.254 * [backup-simplify]: Simplify 0 into 0
5.254 * [backup-simplify]: Simplify 1 into 1
5.254 * [taylor]: Taking taylor expansion of PI in n
5.254 * [backup-simplify]: Simplify PI into PI
5.254 * [backup-simplify]: Simplify (* 0 PI) into 0
5.255 * [backup-simplify]: Simplify (* 2 0) into 0
5.256 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.257 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.257 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.257 * [backup-simplify]: Simplify (- k) into (- k)
5.257 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
5.257 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
5.258 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.259 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
5.260 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
5.260 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
5.260 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
5.260 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
5.260 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
5.260 * [taylor]: Taking taylor expansion of 1/2 in n
5.260 * [backup-simplify]: Simplify 1/2 into 1/2
5.260 * [taylor]: Taking taylor expansion of (- 1 k) in n
5.260 * [taylor]: Taking taylor expansion of 1 in n
5.260 * [backup-simplify]: Simplify 1 into 1
5.260 * [taylor]: Taking taylor expansion of k in n
5.260 * [backup-simplify]: Simplify k into k
5.260 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.260 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.260 * [taylor]: Taking taylor expansion of 2 in n
5.260 * [backup-simplify]: Simplify 2 into 2
5.260 * [taylor]: Taking taylor expansion of (* n PI) in n
5.260 * [taylor]: Taking taylor expansion of n in n
5.260 * [backup-simplify]: Simplify 0 into 0
5.260 * [backup-simplify]: Simplify 1 into 1
5.260 * [taylor]: Taking taylor expansion of PI in n
5.260 * [backup-simplify]: Simplify PI into PI
5.260 * [backup-simplify]: Simplify (* 0 PI) into 0
5.261 * [backup-simplify]: Simplify (* 2 0) into 0
5.262 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.263 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.263 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.263 * [backup-simplify]: Simplify (- k) into (- k)
5.263 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
5.263 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
5.264 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.265 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
5.266 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
5.266 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
5.266 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
5.266 * [taylor]: Taking taylor expansion of 1/2 in k
5.266 * [backup-simplify]: Simplify 1/2 into 1/2
5.266 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
5.266 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.266 * [taylor]: Taking taylor expansion of 1 in k
5.266 * [backup-simplify]: Simplify 1 into 1
5.266 * [taylor]: Taking taylor expansion of k in k
5.266 * [backup-simplify]: Simplify 0 into 0
5.266 * [backup-simplify]: Simplify 1 into 1
5.266 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
5.266 * [taylor]: Taking taylor expansion of (log n) in k
5.266 * [taylor]: Taking taylor expansion of n in k
5.266 * [backup-simplify]: Simplify n into n
5.266 * [backup-simplify]: Simplify (log n) into (log n)
5.266 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
5.266 * [taylor]: Taking taylor expansion of (* 2 PI) in k
5.266 * [taylor]: Taking taylor expansion of 2 in k
5.266 * [backup-simplify]: Simplify 2 into 2
5.266 * [taylor]: Taking taylor expansion of PI in k
5.266 * [backup-simplify]: Simplify PI into PI
5.266 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.267 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.267 * [backup-simplify]: Simplify (- 0) into 0
5.268 * [backup-simplify]: Simplify (+ 1 0) into 1
5.268 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.269 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
5.270 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
5.270 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
5.271 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
5.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.272 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.274 * [backup-simplify]: Simplify (- 0) into 0
5.274 * [backup-simplify]: Simplify (+ 0 0) into 0
5.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
5.275 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.276 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
5.277 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.277 * [taylor]: Taking taylor expansion of 0 in k
5.277 * [backup-simplify]: Simplify 0 into 0
5.277 * [backup-simplify]: Simplify 0 into 0
5.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
5.278 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.279 * [backup-simplify]: Simplify (+ 0 0) into 0
5.279 * [backup-simplify]: Simplify (- 1) into -1
5.280 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.281 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
5.282 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
5.284 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
5.286 * [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)))))))
5.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
5.288 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
5.290 * [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
5.290 * [backup-simplify]: Simplify (- 0) into 0
5.290 * [backup-simplify]: Simplify (+ 0 0) into 0
5.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
5.292 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.293 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.294 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.294 * [taylor]: Taking taylor expansion of 0 in k
5.294 * [backup-simplify]: Simplify 0 into 0
5.294 * [backup-simplify]: Simplify 0 into 0
5.294 * [backup-simplify]: Simplify 0 into 0
5.295 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
5.296 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.298 * [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
5.298 * [backup-simplify]: Simplify (+ 0 0) into 0
5.298 * [backup-simplify]: Simplify (- 0) into 0
5.299 * [backup-simplify]: Simplify (+ 0 0) into 0
5.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.304 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
5.307 * [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)))))
5.313 * [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)))))
5.313 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
5.313 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
5.313 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
5.313 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.313 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.313 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
5.313 * [taylor]: Taking taylor expansion of 1/2 in k
5.313 * [backup-simplify]: Simplify 1/2 into 1/2
5.313 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.313 * [taylor]: Taking taylor expansion of 1 in k
5.313 * [backup-simplify]: Simplify 1 into 1
5.313 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.313 * [taylor]: Taking taylor expansion of k in k
5.313 * [backup-simplify]: Simplify 0 into 0
5.313 * [backup-simplify]: Simplify 1 into 1
5.314 * [backup-simplify]: Simplify (/ 1 1) into 1
5.314 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.314 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.314 * [taylor]: Taking taylor expansion of 2 in k
5.314 * [backup-simplify]: Simplify 2 into 2
5.314 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.314 * [taylor]: Taking taylor expansion of PI in k
5.314 * [backup-simplify]: Simplify PI into PI
5.314 * [taylor]: Taking taylor expansion of n in k
5.314 * [backup-simplify]: Simplify n into n
5.314 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.314 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.314 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.314 * [backup-simplify]: Simplify (- 1) into -1
5.315 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.315 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
5.315 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.315 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
5.315 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
5.315 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.315 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.315 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
5.315 * [taylor]: Taking taylor expansion of 1/2 in n
5.315 * [backup-simplify]: Simplify 1/2 into 1/2
5.315 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.315 * [taylor]: Taking taylor expansion of 1 in n
5.315 * [backup-simplify]: Simplify 1 into 1
5.315 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.315 * [taylor]: Taking taylor expansion of k in n
5.315 * [backup-simplify]: Simplify k into k
5.315 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.315 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.315 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.316 * [taylor]: Taking taylor expansion of 2 in n
5.316 * [backup-simplify]: Simplify 2 into 2
5.316 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.316 * [taylor]: Taking taylor expansion of PI in n
5.316 * [backup-simplify]: Simplify PI into PI
5.316 * [taylor]: Taking taylor expansion of n in n
5.316 * [backup-simplify]: Simplify 0 into 0
5.316 * [backup-simplify]: Simplify 1 into 1
5.316 * [backup-simplify]: Simplify (/ PI 1) into PI
5.316 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.317 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.317 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.317 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.317 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
5.318 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.319 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.319 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.320 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
5.320 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.320 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.320 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
5.320 * [taylor]: Taking taylor expansion of 1/2 in n
5.320 * [backup-simplify]: Simplify 1/2 into 1/2
5.320 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.320 * [taylor]: Taking taylor expansion of 1 in n
5.320 * [backup-simplify]: Simplify 1 into 1
5.320 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.320 * [taylor]: Taking taylor expansion of k in n
5.320 * [backup-simplify]: Simplify k into k
5.320 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.320 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.320 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.320 * [taylor]: Taking taylor expansion of 2 in n
5.320 * [backup-simplify]: Simplify 2 into 2
5.320 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.320 * [taylor]: Taking taylor expansion of PI in n
5.320 * [backup-simplify]: Simplify PI into PI
5.320 * [taylor]: Taking taylor expansion of n in n
5.320 * [backup-simplify]: Simplify 0 into 0
5.320 * [backup-simplify]: Simplify 1 into 1
5.320 * [backup-simplify]: Simplify (/ PI 1) into PI
5.321 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.321 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.321 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.321 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.321 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
5.322 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.323 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.324 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.324 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
5.324 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
5.324 * [taylor]: Taking taylor expansion of 1/2 in k
5.324 * [backup-simplify]: Simplify 1/2 into 1/2
5.324 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
5.324 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.324 * [taylor]: Taking taylor expansion of 1 in k
5.324 * [backup-simplify]: Simplify 1 into 1
5.324 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.324 * [taylor]: Taking taylor expansion of k in k
5.324 * [backup-simplify]: Simplify 0 into 0
5.324 * [backup-simplify]: Simplify 1 into 1
5.324 * [backup-simplify]: Simplify (/ 1 1) into 1
5.324 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
5.324 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
5.324 * [taylor]: Taking taylor expansion of (* 2 PI) in k
5.324 * [taylor]: Taking taylor expansion of 2 in k
5.324 * [backup-simplify]: Simplify 2 into 2
5.324 * [taylor]: Taking taylor expansion of PI in k
5.324 * [backup-simplify]: Simplify PI into PI
5.325 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.325 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.325 * [taylor]: Taking taylor expansion of (log n) in k
5.325 * [taylor]: Taking taylor expansion of n in k
5.325 * [backup-simplify]: Simplify n into n
5.325 * [backup-simplify]: Simplify (log n) into (log n)
5.326 * [backup-simplify]: Simplify (- 1) into -1
5.326 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.326 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.327 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
5.332 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
5.334 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
5.335 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.335 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.337 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.339 * [backup-simplify]: Simplify (- 0) into 0
5.339 * [backup-simplify]: Simplify (+ 0 0) into 0
5.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
5.341 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.342 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
5.344 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.344 * [taylor]: Taking taylor expansion of 0 in k
5.345 * [backup-simplify]: Simplify 0 into 0
5.345 * [backup-simplify]: Simplify 0 into 0
5.345 * [backup-simplify]: Simplify 0 into 0
5.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.350 * [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
5.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.350 * [backup-simplify]: Simplify (- 0) into 0
5.351 * [backup-simplify]: Simplify (+ 0 0) into 0
5.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
5.352 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.353 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
5.355 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.355 * [taylor]: Taking taylor expansion of 0 in k
5.355 * [backup-simplify]: Simplify 0 into 0
5.355 * [backup-simplify]: Simplify 0 into 0
5.355 * [backup-simplify]: Simplify 0 into 0
5.355 * [backup-simplify]: Simplify 0 into 0
5.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.356 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.359 * [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
5.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.360 * [backup-simplify]: Simplify (- 0) into 0
5.360 * [backup-simplify]: Simplify (+ 0 0) into 0
5.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
5.362 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.363 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
5.365 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.365 * [taylor]: Taking taylor expansion of 0 in k
5.365 * [backup-simplify]: Simplify 0 into 0
5.365 * [backup-simplify]: Simplify 0 into 0
5.365 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
5.366 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
5.366 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
5.366 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.366 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.366 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.366 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.366 * [taylor]: Taking taylor expansion of 1/2 in k
5.366 * [backup-simplify]: Simplify 1/2 into 1/2
5.366 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.366 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.366 * [taylor]: Taking taylor expansion of k in k
5.366 * [backup-simplify]: Simplify 0 into 0
5.366 * [backup-simplify]: Simplify 1 into 1
5.366 * [backup-simplify]: Simplify (/ 1 1) into 1
5.366 * [taylor]: Taking taylor expansion of 1 in k
5.366 * [backup-simplify]: Simplify 1 into 1
5.366 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.366 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.366 * [taylor]: Taking taylor expansion of -2 in k
5.366 * [backup-simplify]: Simplify -2 into -2
5.366 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.366 * [taylor]: Taking taylor expansion of PI in k
5.366 * [backup-simplify]: Simplify PI into PI
5.366 * [taylor]: Taking taylor expansion of n in k
5.366 * [backup-simplify]: Simplify n into n
5.367 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.367 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.367 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.367 * [backup-simplify]: Simplify (+ 1 0) into 1
5.367 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.367 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.367 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.367 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.367 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.367 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.367 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.367 * [taylor]: Taking taylor expansion of 1/2 in n
5.367 * [backup-simplify]: Simplify 1/2 into 1/2
5.367 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.367 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.368 * [taylor]: Taking taylor expansion of k in n
5.368 * [backup-simplify]: Simplify k into k
5.368 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.368 * [taylor]: Taking taylor expansion of 1 in n
5.368 * [backup-simplify]: Simplify 1 into 1
5.368 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.368 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.368 * [taylor]: Taking taylor expansion of -2 in n
5.368 * [backup-simplify]: Simplify -2 into -2
5.368 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.368 * [taylor]: Taking taylor expansion of PI in n
5.368 * [backup-simplify]: Simplify PI into PI
5.368 * [taylor]: Taking taylor expansion of n in n
5.368 * [backup-simplify]: Simplify 0 into 0
5.368 * [backup-simplify]: Simplify 1 into 1
5.368 * [backup-simplify]: Simplify (/ PI 1) into PI
5.368 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.369 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.369 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.369 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.370 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.371 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.372 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.372 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.372 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.372 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.372 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.372 * [taylor]: Taking taylor expansion of 1/2 in n
5.372 * [backup-simplify]: Simplify 1/2 into 1/2
5.372 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.372 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.372 * [taylor]: Taking taylor expansion of k in n
5.372 * [backup-simplify]: Simplify k into k
5.372 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.372 * [taylor]: Taking taylor expansion of 1 in n
5.372 * [backup-simplify]: Simplify 1 into 1
5.372 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.372 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.372 * [taylor]: Taking taylor expansion of -2 in n
5.372 * [backup-simplify]: Simplify -2 into -2
5.372 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.372 * [taylor]: Taking taylor expansion of PI in n
5.372 * [backup-simplify]: Simplify PI into PI
5.372 * [taylor]: Taking taylor expansion of n in n
5.372 * [backup-simplify]: Simplify 0 into 0
5.372 * [backup-simplify]: Simplify 1 into 1
5.372 * [backup-simplify]: Simplify (/ PI 1) into PI
5.373 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.373 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.373 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.373 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.374 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.375 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.376 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.376 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
5.376 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
5.376 * [taylor]: Taking taylor expansion of 1/2 in k
5.376 * [backup-simplify]: Simplify 1/2 into 1/2
5.376 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
5.376 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.376 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.376 * [taylor]: Taking taylor expansion of k in k
5.376 * [backup-simplify]: Simplify 0 into 0
5.376 * [backup-simplify]: Simplify 1 into 1
5.376 * [backup-simplify]: Simplify (/ 1 1) into 1
5.376 * [taylor]: Taking taylor expansion of 1 in k
5.376 * [backup-simplify]: Simplify 1 into 1
5.376 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
5.376 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
5.376 * [taylor]: Taking taylor expansion of (* -2 PI) in k
5.376 * [taylor]: Taking taylor expansion of -2 in k
5.376 * [backup-simplify]: Simplify -2 into -2
5.376 * [taylor]: Taking taylor expansion of PI in k
5.376 * [backup-simplify]: Simplify PI into PI
5.377 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.377 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.377 * [taylor]: Taking taylor expansion of (log n) in k
5.377 * [taylor]: Taking taylor expansion of n in k
5.377 * [backup-simplify]: Simplify n into n
5.377 * [backup-simplify]: Simplify (log n) into (log n)
5.378 * [backup-simplify]: Simplify (+ 1 0) into 1
5.378 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.378 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
5.379 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
5.380 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
5.381 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.381 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.383 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
5.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.385 * [backup-simplify]: Simplify (+ 0 0) into 0
5.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
5.388 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.389 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
5.391 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.391 * [taylor]: Taking taylor expansion of 0 in k
5.391 * [backup-simplify]: Simplify 0 into 0
5.391 * [backup-simplify]: Simplify 0 into 0
5.391 * [backup-simplify]: Simplify 0 into 0
5.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.393 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
5.397 * [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
5.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.398 * [backup-simplify]: Simplify (+ 0 0) into 0
5.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
5.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.402 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
5.405 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.405 * [taylor]: Taking taylor expansion of 0 in k
5.405 * [backup-simplify]: Simplify 0 into 0
5.405 * [backup-simplify]: Simplify 0 into 0
5.405 * [backup-simplify]: Simplify 0 into 0
5.405 * [backup-simplify]: Simplify 0 into 0
5.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.408 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.414 * [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
5.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.415 * [backup-simplify]: Simplify (+ 0 0) into 0
5.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
5.418 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.420 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
5.424 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.424 * [taylor]: Taking taylor expansion of 0 in k
5.424 * [backup-simplify]: Simplify 0 into 0
5.424 * [backup-simplify]: Simplify 0 into 0
5.425 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
5.426 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
5.426 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
5.426 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
5.426 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.426 * [taylor]: Taking taylor expansion of 2 in n
5.426 * [backup-simplify]: Simplify 2 into 2
5.426 * [taylor]: Taking taylor expansion of (* n PI) in n
5.426 * [taylor]: Taking taylor expansion of n in n
5.426 * [backup-simplify]: Simplify 0 into 0
5.426 * [backup-simplify]: Simplify 1 into 1
5.426 * [taylor]: Taking taylor expansion of PI in n
5.427 * [backup-simplify]: Simplify PI into PI
5.427 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.427 * [taylor]: Taking taylor expansion of 2 in n
5.427 * [backup-simplify]: Simplify 2 into 2
5.427 * [taylor]: Taking taylor expansion of (* n PI) in n
5.427 * [taylor]: Taking taylor expansion of n in n
5.427 * [backup-simplify]: Simplify 0 into 0
5.427 * [backup-simplify]: Simplify 1 into 1
5.427 * [taylor]: Taking taylor expansion of PI in n
5.427 * [backup-simplify]: Simplify PI into PI
5.427 * [backup-simplify]: Simplify (* 0 PI) into 0
5.428 * [backup-simplify]: Simplify (* 2 0) into 0
5.428 * [backup-simplify]: Simplify 0 into 0
5.430 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.431 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.432 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.434 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.434 * [backup-simplify]: Simplify 0 into 0
5.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
5.437 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
5.437 * [backup-simplify]: Simplify 0 into 0
5.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
5.440 * [backup-simplify]: Simplify 0 into 0
5.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.444 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
5.444 * [backup-simplify]: Simplify 0 into 0
5.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
5.448 * [backup-simplify]: Simplify 0 into 0
5.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
5.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
5.452 * [backup-simplify]: Simplify 0 into 0
5.453 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
5.454 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
5.454 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
5.454 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.454 * [taylor]: Taking taylor expansion of 2 in n
5.454 * [backup-simplify]: Simplify 2 into 2
5.454 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.454 * [taylor]: Taking taylor expansion of PI in n
5.454 * [backup-simplify]: Simplify PI into PI
5.454 * [taylor]: Taking taylor expansion of n in n
5.454 * [backup-simplify]: Simplify 0 into 0
5.454 * [backup-simplify]: Simplify 1 into 1
5.455 * [backup-simplify]: Simplify (/ PI 1) into PI
5.455 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.455 * [taylor]: Taking taylor expansion of 2 in n
5.455 * [backup-simplify]: Simplify 2 into 2
5.455 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.455 * [taylor]: Taking taylor expansion of PI in n
5.455 * [backup-simplify]: Simplify PI into PI
5.455 * [taylor]: Taking taylor expansion of n in n
5.455 * [backup-simplify]: Simplify 0 into 0
5.455 * [backup-simplify]: Simplify 1 into 1
5.455 * [backup-simplify]: Simplify (/ PI 1) into PI
5.456 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.457 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.459 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.459 * [backup-simplify]: Simplify 0 into 0
5.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.461 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.464 * [backup-simplify]: Simplify 0 into 0
5.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.474 * [backup-simplify]: Simplify 0 into 0
5.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.477 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.477 * [backup-simplify]: Simplify 0 into 0
5.478 * [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
5.480 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.480 * [backup-simplify]: Simplify 0 into 0
5.480 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
5.481 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
5.481 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
5.481 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.481 * [taylor]: Taking taylor expansion of -2 in n
5.481 * [backup-simplify]: Simplify -2 into -2
5.481 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.481 * [taylor]: Taking taylor expansion of PI in n
5.481 * [backup-simplify]: Simplify PI into PI
5.481 * [taylor]: Taking taylor expansion of n in n
5.481 * [backup-simplify]: Simplify 0 into 0
5.481 * [backup-simplify]: Simplify 1 into 1
5.482 * [backup-simplify]: Simplify (/ PI 1) into PI
5.482 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.482 * [taylor]: Taking taylor expansion of -2 in n
5.482 * [backup-simplify]: Simplify -2 into -2
5.482 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.482 * [taylor]: Taking taylor expansion of PI in n
5.482 * [backup-simplify]: Simplify PI into PI
5.482 * [taylor]: Taking taylor expansion of n in n
5.482 * [backup-simplify]: Simplify 0 into 0
5.482 * [backup-simplify]: Simplify 1 into 1
5.482 * [backup-simplify]: Simplify (/ PI 1) into PI
5.483 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.483 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.485 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.485 * [backup-simplify]: Simplify 0 into 0
5.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.487 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
5.487 * [backup-simplify]: Simplify 0 into 0
5.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.489 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.489 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.492 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.492 * [backup-simplify]: Simplify 0 into 0
5.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.494 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.494 * [backup-simplify]: Simplify 0 into 0
5.496 * [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
5.497 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.497 * [backup-simplify]: Simplify 0 into 0
5.498 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
5.498 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
5.498 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
5.498 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
5.498 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.498 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.498 * [taylor]: Taking taylor expansion of k in k
5.498 * [backup-simplify]: Simplify 0 into 0
5.498 * [backup-simplify]: Simplify 1 into 1
5.499 * [backup-simplify]: Simplify (/ 1 1) into 1
5.499 * [backup-simplify]: Simplify (sqrt 0) into 0
5.501 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.501 * [taylor]: Taking taylor expansion of k in k
5.501 * [backup-simplify]: Simplify 0 into 0
5.501 * [backup-simplify]: Simplify 1 into 1
5.501 * [backup-simplify]: Simplify (/ 1 1) into 1
5.502 * [backup-simplify]: Simplify (sqrt 0) into 0
5.503 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.503 * [backup-simplify]: Simplify 0 into 0
5.503 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.506 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.506 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.509 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.509 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
5.509 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
5.509 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
5.509 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.510 * [taylor]: Taking taylor expansion of k in k
5.510 * [backup-simplify]: Simplify 0 into 0
5.510 * [backup-simplify]: Simplify 1 into 1
5.510 * [backup-simplify]: Simplify (sqrt 0) into 0
5.511 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.511 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.511 * [taylor]: Taking taylor expansion of k in k
5.511 * [backup-simplify]: Simplify 0 into 0
5.511 * [backup-simplify]: Simplify 1 into 1
5.511 * [backup-simplify]: Simplify (sqrt 0) into 0
5.512 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.512 * [backup-simplify]: Simplify 0 into 0
5.512 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.514 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.514 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.516 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.516 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
5.516 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
5.516 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
5.516 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
5.516 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.516 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.516 * [taylor]: Taking taylor expansion of -1 in k
5.516 * [backup-simplify]: Simplify -1 into -1
5.516 * [taylor]: Taking taylor expansion of k in k
5.516 * [backup-simplify]: Simplify 0 into 0
5.516 * [backup-simplify]: Simplify 1 into 1
5.517 * [backup-simplify]: Simplify (/ -1 1) into -1
5.517 * [backup-simplify]: Simplify (sqrt 0) into 0
5.518 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.518 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
5.518 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
5.518 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.518 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.518 * [taylor]: Taking taylor expansion of -1 in k
5.518 * [backup-simplify]: Simplify -1 into -1
5.518 * [taylor]: Taking taylor expansion of k in k
5.518 * [backup-simplify]: Simplify 0 into 0
5.518 * [backup-simplify]: Simplify 1 into 1
5.519 * [backup-simplify]: Simplify (/ -1 1) into -1
5.519 * [backup-simplify]: Simplify (sqrt 0) into 0
5.520 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.520 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
5.520 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.522 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.523 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
5.524 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.529 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
5.529 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.530 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
5.530 * * * * [progress]: [ 4 / 4 ] generating series at (2)
5.530 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
5.530 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
5.530 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
5.530 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
5.530 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
5.531 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
5.531 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
5.531 * [taylor]: Taking taylor expansion of 1/2 in n
5.531 * [backup-simplify]: Simplify 1/2 into 1/2
5.531 * [taylor]: Taking taylor expansion of (- 1 k) in n
5.531 * [taylor]: Taking taylor expansion of 1 in n
5.531 * [backup-simplify]: Simplify 1 into 1
5.531 * [taylor]: Taking taylor expansion of k in n
5.531 * [backup-simplify]: Simplify k into k
5.531 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.531 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.531 * [taylor]: Taking taylor expansion of 2 in n
5.531 * [backup-simplify]: Simplify 2 into 2
5.531 * [taylor]: Taking taylor expansion of (* n PI) in n
5.531 * [taylor]: Taking taylor expansion of n in n
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 1 into 1
5.531 * [taylor]: Taking taylor expansion of PI in n
5.531 * [backup-simplify]: Simplify PI into PI
5.531 * [backup-simplify]: Simplify (* 0 PI) into 0
5.531 * [backup-simplify]: Simplify (* 2 0) into 0
5.532 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.533 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.534 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.534 * [backup-simplify]: Simplify (- k) into (- k)
5.534 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
5.534 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
5.536 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.537 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
5.538 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
5.538 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
5.538 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.538 * [taylor]: Taking taylor expansion of k in n
5.538 * [backup-simplify]: Simplify k into k
5.538 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.538 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
5.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
5.538 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
5.538 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
5.538 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
5.538 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
5.539 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
5.539 * [taylor]: Taking taylor expansion of 1/2 in k
5.539 * [backup-simplify]: Simplify 1/2 into 1/2
5.539 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.539 * [taylor]: Taking taylor expansion of 1 in k
5.539 * [backup-simplify]: Simplify 1 into 1
5.539 * [taylor]: Taking taylor expansion of k in k
5.539 * [backup-simplify]: Simplify 0 into 0
5.539 * [backup-simplify]: Simplify 1 into 1
5.539 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.539 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.539 * [taylor]: Taking taylor expansion of 2 in k
5.539 * [backup-simplify]: Simplify 2 into 2
5.539 * [taylor]: Taking taylor expansion of (* n PI) in k
5.539 * [taylor]: Taking taylor expansion of n in k
5.539 * [backup-simplify]: Simplify n into n
5.539 * [taylor]: Taking taylor expansion of PI in k
5.539 * [backup-simplify]: Simplify PI into PI
5.539 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.539 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.539 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.539 * [backup-simplify]: Simplify (- 0) into 0
5.540 * [backup-simplify]: Simplify (+ 1 0) into 1
5.540 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.540 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.540 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.540 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.540 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.540 * [taylor]: Taking taylor expansion of k in k
5.541 * [backup-simplify]: Simplify 0 into 0
5.541 * [backup-simplify]: Simplify 1 into 1
5.541 * [backup-simplify]: Simplify (/ 1 1) into 1
5.541 * [backup-simplify]: Simplify (sqrt 0) into 0
5.542 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.542 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
5.543 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
5.543 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
5.543 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
5.543 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
5.543 * [taylor]: Taking taylor expansion of 1/2 in k
5.543 * [backup-simplify]: Simplify 1/2 into 1/2
5.543 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.543 * [taylor]: Taking taylor expansion of 1 in k
5.543 * [backup-simplify]: Simplify 1 into 1
5.543 * [taylor]: Taking taylor expansion of k in k
5.543 * [backup-simplify]: Simplify 0 into 0
5.543 * [backup-simplify]: Simplify 1 into 1
5.543 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.543 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.543 * [taylor]: Taking taylor expansion of 2 in k
5.543 * [backup-simplify]: Simplify 2 into 2
5.543 * [taylor]: Taking taylor expansion of (* n PI) in k
5.543 * [taylor]: Taking taylor expansion of n in k
5.543 * [backup-simplify]: Simplify n into n
5.543 * [taylor]: Taking taylor expansion of PI in k
5.543 * [backup-simplify]: Simplify PI into PI
5.543 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.543 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.543 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.544 * [backup-simplify]: Simplify (- 0) into 0
5.544 * [backup-simplify]: Simplify (+ 1 0) into 1
5.544 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.544 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.545 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.545 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.545 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.545 * [taylor]: Taking taylor expansion of k in k
5.545 * [backup-simplify]: Simplify 0 into 0
5.545 * [backup-simplify]: Simplify 1 into 1
5.545 * [backup-simplify]: Simplify (/ 1 1) into 1
5.545 * [backup-simplify]: Simplify (sqrt 0) into 0
5.547 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.547 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
5.547 * [taylor]: Taking taylor expansion of 0 in n
5.547 * [backup-simplify]: Simplify 0 into 0
5.547 * [backup-simplify]: Simplify 0 into 0
5.547 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
5.548 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
5.549 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
5.549 * [backup-simplify]: Simplify (- 1) into -1
5.549 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.550 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
5.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
5.551 * [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)))))
5.551 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
5.551 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
5.551 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
5.552 * [taylor]: Taking taylor expansion of +nan.0 in n
5.552 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.552 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
5.552 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.552 * [taylor]: Taking taylor expansion of 2 in n
5.552 * [backup-simplify]: Simplify 2 into 2
5.552 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.553 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.553 * [taylor]: Taking taylor expansion of (* n PI) in n
5.553 * [taylor]: Taking taylor expansion of n in n
5.553 * [backup-simplify]: Simplify 0 into 0
5.553 * [backup-simplify]: Simplify 1 into 1
5.553 * [taylor]: Taking taylor expansion of PI in n
5.553 * [backup-simplify]: Simplify PI into PI
5.554 * [backup-simplify]: Simplify (* 0 PI) into 0
5.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.555 * [backup-simplify]: Simplify (sqrt 0) into 0
5.556 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.556 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
5.556 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.557 * [backup-simplify]: Simplify (- 0) into 0
5.557 * [backup-simplify]: Simplify 0 into 0
5.557 * [backup-simplify]: Simplify 0 into 0
5.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.559 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.560 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
5.561 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
5.562 * [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
5.562 * [backup-simplify]: Simplify (- 0) into 0
5.562 * [backup-simplify]: Simplify (+ 0 0) into 0
5.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
5.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
5.564 * [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)))
5.564 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
5.564 * [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
5.564 * [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
5.564 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
5.564 * [taylor]: Taking taylor expansion of +nan.0 in n
5.564 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.565 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
5.565 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
5.565 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.565 * [taylor]: Taking taylor expansion of 2 in n
5.565 * [backup-simplify]: Simplify 2 into 2
5.565 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.565 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.565 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.565 * [taylor]: Taking taylor expansion of 2 in n
5.565 * [backup-simplify]: Simplify 2 into 2
5.565 * [taylor]: Taking taylor expansion of (* n PI) in n
5.565 * [taylor]: Taking taylor expansion of n in n
5.565 * [backup-simplify]: Simplify 0 into 0
5.565 * [backup-simplify]: Simplify 1 into 1
5.565 * [taylor]: Taking taylor expansion of PI in n
5.565 * [backup-simplify]: Simplify PI into PI
5.566 * [backup-simplify]: Simplify (* 0 PI) into 0
5.566 * [backup-simplify]: Simplify (* 2 0) into 0
5.567 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.568 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.569 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.569 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.569 * [taylor]: Taking taylor expansion of (* n PI) in n
5.569 * [taylor]: Taking taylor expansion of n in n
5.569 * [backup-simplify]: Simplify 0 into 0
5.569 * [backup-simplify]: Simplify 1 into 1
5.569 * [taylor]: Taking taylor expansion of PI in n
5.569 * [backup-simplify]: Simplify PI into PI
5.569 * [backup-simplify]: Simplify (* 0 PI) into 0
5.570 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.570 * [backup-simplify]: Simplify (sqrt 0) into 0
5.571 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.571 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
5.571 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
5.571 * [taylor]: Taking taylor expansion of +nan.0 in n
5.571 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.571 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
5.571 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.571 * [taylor]: Taking taylor expansion of 2 in n
5.571 * [backup-simplify]: Simplify 2 into 2
5.572 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.572 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.572 * [taylor]: Taking taylor expansion of (* n PI) in n
5.572 * [taylor]: Taking taylor expansion of n in n
5.572 * [backup-simplify]: Simplify 0 into 0
5.572 * [backup-simplify]: Simplify 1 into 1
5.572 * [taylor]: Taking taylor expansion of PI in n
5.572 * [backup-simplify]: Simplify PI into PI
5.572 * [backup-simplify]: Simplify (* 0 PI) into 0
5.573 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.574 * [backup-simplify]: Simplify (sqrt 0) into 0
5.574 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.575 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.576 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
5.577 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
5.577 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.578 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
5.578 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.578 * [backup-simplify]: Simplify (- 0) into 0
5.578 * [backup-simplify]: Simplify (+ 0 0) into 0
5.579 * [backup-simplify]: Simplify (- 0) into 0
5.579 * [backup-simplify]: Simplify 0 into 0
5.585 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
5.589 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
5.591 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
5.592 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
5.592 * [backup-simplify]: Simplify 0 into 0
5.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.598 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.599 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
5.602 * [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
5.602 * [backup-simplify]: Simplify (- 0) into 0
5.602 * [backup-simplify]: Simplify (+ 0 0) into 0
5.604 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
5.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
5.607 * [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)))
5.608 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
5.608 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
5.608 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
5.608 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
5.608 * [taylor]: Taking taylor expansion of +nan.0 in n
5.608 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.608 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
5.609 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
5.609 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.609 * [taylor]: Taking taylor expansion of 2 in n
5.609 * [backup-simplify]: Simplify 2 into 2
5.609 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.610 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.610 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.610 * [taylor]: Taking taylor expansion of 2 in n
5.610 * [backup-simplify]: Simplify 2 into 2
5.610 * [taylor]: Taking taylor expansion of (* n PI) in n
5.610 * [taylor]: Taking taylor expansion of n in n
5.610 * [backup-simplify]: Simplify 0 into 0
5.610 * [backup-simplify]: Simplify 1 into 1
5.611 * [taylor]: Taking taylor expansion of PI in n
5.611 * [backup-simplify]: Simplify PI into PI
5.611 * [backup-simplify]: Simplify (* 0 PI) into 0
5.612 * [backup-simplify]: Simplify (* 2 0) into 0
5.613 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.615 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.616 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.616 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.616 * [taylor]: Taking taylor expansion of (* n PI) in n
5.617 * [taylor]: Taking taylor expansion of n in n
5.617 * [backup-simplify]: Simplify 0 into 0
5.617 * [backup-simplify]: Simplify 1 into 1
5.617 * [taylor]: Taking taylor expansion of PI in n
5.617 * [backup-simplify]: Simplify PI into PI
5.617 * [backup-simplify]: Simplify (* 0 PI) into 0
5.619 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.619 * [backup-simplify]: Simplify (sqrt 0) into 0
5.621 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.621 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
5.621 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
5.621 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
5.621 * [taylor]: Taking taylor expansion of +nan.0 in n
5.621 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.621 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
5.621 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.621 * [taylor]: Taking taylor expansion of 2 in n
5.621 * [backup-simplify]: Simplify 2 into 2
5.622 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.622 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.622 * [taylor]: Taking taylor expansion of (* n PI) in n
5.622 * [taylor]: Taking taylor expansion of n in n
5.622 * [backup-simplify]: Simplify 0 into 0
5.622 * [backup-simplify]: Simplify 1 into 1
5.622 * [taylor]: Taking taylor expansion of PI in n
5.622 * [backup-simplify]: Simplify PI into PI
5.623 * [backup-simplify]: Simplify (* 0 PI) into 0
5.625 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.625 * [backup-simplify]: Simplify (sqrt 0) into 0
5.626 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.627 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
5.627 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
5.627 * [taylor]: Taking taylor expansion of +nan.0 in n
5.627 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.627 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
5.627 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
5.627 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.627 * [taylor]: Taking taylor expansion of 2 in n
5.627 * [backup-simplify]: Simplify 2 into 2
5.627 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.628 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
5.628 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.628 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.628 * [taylor]: Taking taylor expansion of 2 in n
5.628 * [backup-simplify]: Simplify 2 into 2
5.628 * [taylor]: Taking taylor expansion of (* n PI) in n
5.628 * [taylor]: Taking taylor expansion of n in n
5.628 * [backup-simplify]: Simplify 0 into 0
5.628 * [backup-simplify]: Simplify 1 into 1
5.628 * [taylor]: Taking taylor expansion of PI in n
5.628 * [backup-simplify]: Simplify PI into PI
5.629 * [backup-simplify]: Simplify (* 0 PI) into 0
5.629 * [backup-simplify]: Simplify (* 2 0) into 0
5.631 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.633 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.634 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.636 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.636 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.636 * [taylor]: Taking taylor expansion of (* n PI) in n
5.636 * [taylor]: Taking taylor expansion of n in n
5.636 * [backup-simplify]: Simplify 0 into 0
5.636 * [backup-simplify]: Simplify 1 into 1
5.636 * [taylor]: Taking taylor expansion of PI in n
5.636 * [backup-simplify]: Simplify PI into PI
5.636 * [backup-simplify]: Simplify (* 0 PI) into 0
5.638 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.638 * [backup-simplify]: Simplify (sqrt 0) into 0
5.640 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.641 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.643 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
5.644 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
5.645 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.645 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
5.646 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.648 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.649 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.651 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
5.653 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
5.655 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
5.655 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.655 * [backup-simplify]: Simplify (- 0) into 0
5.656 * [backup-simplify]: Simplify (+ 0 0) into 0
5.656 * [backup-simplify]: Simplify (- 0) into 0
5.657 * [backup-simplify]: Simplify (+ 0 0) into 0
5.657 * [backup-simplify]: Simplify (- 0) into 0
5.657 * [backup-simplify]: Simplify 0 into 0
5.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.663 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.665 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
5.668 * [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))))))))
5.675 * [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))))))))
5.679 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
5.685 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
5.689 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
5.698 * [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))))))))))
5.708 * [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)))))))
5.716 * [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)))))))
5.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.723 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
5.724 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
5.737 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
5.746 * [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))))
5.751 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
5.755 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
5.771 * [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)))))))))))))
5.772 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
5.772 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
5.772 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
5.772 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
5.772 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.772 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.772 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
5.772 * [taylor]: Taking taylor expansion of 1/2 in n
5.772 * [backup-simplify]: Simplify 1/2 into 1/2
5.772 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.772 * [taylor]: Taking taylor expansion of 1 in n
5.772 * [backup-simplify]: Simplify 1 into 1
5.772 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.772 * [taylor]: Taking taylor expansion of k in n
5.772 * [backup-simplify]: Simplify k into k
5.772 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.772 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.772 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.772 * [taylor]: Taking taylor expansion of 2 in n
5.772 * [backup-simplify]: Simplify 2 into 2
5.772 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.772 * [taylor]: Taking taylor expansion of PI in n
5.772 * [backup-simplify]: Simplify PI into PI
5.772 * [taylor]: Taking taylor expansion of n in n
5.772 * [backup-simplify]: Simplify 0 into 0
5.772 * [backup-simplify]: Simplify 1 into 1
5.773 * [backup-simplify]: Simplify (/ PI 1) into PI
5.774 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.775 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.775 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.775 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.775 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
5.777 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.778 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.778 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.778 * [taylor]: Taking taylor expansion of (sqrt k) in n
5.779 * [taylor]: Taking taylor expansion of k in n
5.779 * [backup-simplify]: Simplify k into k
5.779 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
5.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
5.779 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
5.779 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
5.779 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.779 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.779 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
5.779 * [taylor]: Taking taylor expansion of 1/2 in k
5.779 * [backup-simplify]: Simplify 1/2 into 1/2
5.779 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.779 * [taylor]: Taking taylor expansion of 1 in k
5.779 * [backup-simplify]: Simplify 1 into 1
5.779 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.779 * [taylor]: Taking taylor expansion of k in k
5.779 * [backup-simplify]: Simplify 0 into 0
5.779 * [backup-simplify]: Simplify 1 into 1
5.779 * [backup-simplify]: Simplify (/ 1 1) into 1
5.779 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.779 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.779 * [taylor]: Taking taylor expansion of 2 in k
5.779 * [backup-simplify]: Simplify 2 into 2
5.779 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.779 * [taylor]: Taking taylor expansion of PI in k
5.779 * [backup-simplify]: Simplify PI into PI
5.779 * [taylor]: Taking taylor expansion of n in k
5.779 * [backup-simplify]: Simplify n into n
5.779 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.779 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.779 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.780 * [backup-simplify]: Simplify (- 1) into -1
5.780 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.780 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
5.780 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.780 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
5.780 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.780 * [taylor]: Taking taylor expansion of k in k
5.780 * [backup-simplify]: Simplify 0 into 0
5.780 * [backup-simplify]: Simplify 1 into 1
5.781 * [backup-simplify]: Simplify (sqrt 0) into 0
5.782 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.782 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
5.782 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
5.782 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.782 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.782 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
5.782 * [taylor]: Taking taylor expansion of 1/2 in k
5.782 * [backup-simplify]: Simplify 1/2 into 1/2
5.782 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.782 * [taylor]: Taking taylor expansion of 1 in k
5.782 * [backup-simplify]: Simplify 1 into 1
5.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.782 * [taylor]: Taking taylor expansion of k in k
5.782 * [backup-simplify]: Simplify 0 into 0
5.782 * [backup-simplify]: Simplify 1 into 1
5.782 * [backup-simplify]: Simplify (/ 1 1) into 1
5.782 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.782 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.782 * [taylor]: Taking taylor expansion of 2 in k
5.782 * [backup-simplify]: Simplify 2 into 2
5.782 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.782 * [taylor]: Taking taylor expansion of PI in k
5.782 * [backup-simplify]: Simplify PI into PI
5.782 * [taylor]: Taking taylor expansion of n in k
5.782 * [backup-simplify]: Simplify n into n
5.782 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.782 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.782 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.783 * [backup-simplify]: Simplify (- 1) into -1
5.783 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.783 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
5.783 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.783 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
5.783 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.783 * [taylor]: Taking taylor expansion of k in k
5.783 * [backup-simplify]: Simplify 0 into 0
5.783 * [backup-simplify]: Simplify 1 into 1
5.784 * [backup-simplify]: Simplify (sqrt 0) into 0
5.784 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.785 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
5.785 * [taylor]: Taking taylor expansion of 0 in n
5.785 * [backup-simplify]: Simplify 0 into 0
5.785 * [backup-simplify]: Simplify 0 into 0
5.785 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
5.785 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
5.785 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
5.785 * [taylor]: Taking taylor expansion of +nan.0 in n
5.785 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.785 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
5.785 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
5.785 * [taylor]: Taking taylor expansion of 1/2 in n
5.785 * [backup-simplify]: Simplify 1/2 into 1/2
5.785 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
5.785 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.785 * [taylor]: Taking taylor expansion of 1 in n
5.785 * [backup-simplify]: Simplify 1 into 1
5.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.785 * [taylor]: Taking taylor expansion of k in n
5.785 * [backup-simplify]: Simplify k into k
5.785 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.785 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.785 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.785 * [taylor]: Taking taylor expansion of 2 in n
5.785 * [backup-simplify]: Simplify 2 into 2
5.785 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.785 * [taylor]: Taking taylor expansion of PI in n
5.785 * [backup-simplify]: Simplify PI into PI
5.785 * [taylor]: Taking taylor expansion of n in n
5.785 * [backup-simplify]: Simplify 0 into 0
5.785 * [backup-simplify]: Simplify 1 into 1
5.786 * [backup-simplify]: Simplify (/ PI 1) into PI
5.786 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.787 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.787 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.787 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.788 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.788 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
5.789 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.790 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.791 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.792 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.793 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.793 * [backup-simplify]: Simplify 0 into 0
5.794 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.795 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
5.795 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
5.795 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
5.795 * [taylor]: Taking taylor expansion of +nan.0 in n
5.795 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.795 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
5.795 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
5.795 * [taylor]: Taking taylor expansion of 1/2 in n
5.795 * [backup-simplify]: Simplify 1/2 into 1/2
5.795 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
5.795 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.795 * [taylor]: Taking taylor expansion of 1 in n
5.795 * [backup-simplify]: Simplify 1 into 1
5.795 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.795 * [taylor]: Taking taylor expansion of k in n
5.795 * [backup-simplify]: Simplify k into k
5.795 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.795 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.795 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.795 * [taylor]: Taking taylor expansion of 2 in n
5.795 * [backup-simplify]: Simplify 2 into 2
5.795 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.795 * [taylor]: Taking taylor expansion of PI in n
5.795 * [backup-simplify]: Simplify PI into PI
5.795 * [taylor]: Taking taylor expansion of n in n
5.795 * [backup-simplify]: Simplify 0 into 0
5.795 * [backup-simplify]: Simplify 1 into 1
5.796 * [backup-simplify]: Simplify (/ PI 1) into PI
5.796 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.797 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.797 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.797 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.798 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.798 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
5.799 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.800 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.801 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.801 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.802 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.803 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.804 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.805 * [backup-simplify]: Simplify (- 0) into 0
5.805 * [backup-simplify]: Simplify (+ 0 0) into 0
5.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.807 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
5.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
5.809 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.810 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
5.810 * [backup-simplify]: Simplify (- 0) into 0
5.810 * [backup-simplify]: Simplify 0 into 0
5.810 * [backup-simplify]: Simplify 0 into 0
5.814 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.815 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
5.815 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
5.815 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
5.816 * [taylor]: Taking taylor expansion of +nan.0 in n
5.816 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.816 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
5.816 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
5.816 * [taylor]: Taking taylor expansion of 1/2 in n
5.816 * [backup-simplify]: Simplify 1/2 into 1/2
5.816 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
5.816 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.816 * [taylor]: Taking taylor expansion of 1 in n
5.816 * [backup-simplify]: Simplify 1 into 1
5.816 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.816 * [taylor]: Taking taylor expansion of k in n
5.816 * [backup-simplify]: Simplify k into k
5.816 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.816 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.816 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.816 * [taylor]: Taking taylor expansion of 2 in n
5.816 * [backup-simplify]: Simplify 2 into 2
5.816 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.816 * [taylor]: Taking taylor expansion of PI in n
5.816 * [backup-simplify]: Simplify PI into PI
5.816 * [taylor]: Taking taylor expansion of n in n
5.816 * [backup-simplify]: Simplify 0 into 0
5.816 * [backup-simplify]: Simplify 1 into 1
5.817 * [backup-simplify]: Simplify (/ PI 1) into PI
5.817 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.818 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.818 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.819 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.822 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
5.823 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.824 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.825 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.827 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.828 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.833 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
5.834 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
5.834 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
5.834 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
5.834 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.834 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.834 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.834 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.834 * [taylor]: Taking taylor expansion of 1/2 in n
5.834 * [backup-simplify]: Simplify 1/2 into 1/2
5.834 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.834 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.834 * [taylor]: Taking taylor expansion of k in n
5.834 * [backup-simplify]: Simplify k into k
5.834 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.834 * [taylor]: Taking taylor expansion of 1 in n
5.834 * [backup-simplify]: Simplify 1 into 1
5.834 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.834 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.834 * [taylor]: Taking taylor expansion of -2 in n
5.834 * [backup-simplify]: Simplify -2 into -2
5.834 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.834 * [taylor]: Taking taylor expansion of PI in n
5.834 * [backup-simplify]: Simplify PI into PI
5.834 * [taylor]: Taking taylor expansion of n in n
5.834 * [backup-simplify]: Simplify 0 into 0
5.835 * [backup-simplify]: Simplify 1 into 1
5.835 * [backup-simplify]: Simplify (/ PI 1) into PI
5.836 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.837 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.837 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.837 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.839 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.840 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.841 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.841 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
5.841 * [taylor]: Taking taylor expansion of (/ -1 k) in n
5.841 * [taylor]: Taking taylor expansion of -1 in n
5.841 * [backup-simplify]: Simplify -1 into -1
5.841 * [taylor]: Taking taylor expansion of k in n
5.841 * [backup-simplify]: Simplify k into k
5.841 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
5.841 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
5.842 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
5.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
5.843 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
5.843 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
5.843 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.843 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.843 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.843 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.843 * [taylor]: Taking taylor expansion of 1/2 in k
5.843 * [backup-simplify]: Simplify 1/2 into 1/2
5.843 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.843 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.843 * [taylor]: Taking taylor expansion of k in k
5.843 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify 1 into 1
5.844 * [backup-simplify]: Simplify (/ 1 1) into 1
5.844 * [taylor]: Taking taylor expansion of 1 in k
5.844 * [backup-simplify]: Simplify 1 into 1
5.844 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.844 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.844 * [taylor]: Taking taylor expansion of -2 in k
5.844 * [backup-simplify]: Simplify -2 into -2
5.844 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.844 * [taylor]: Taking taylor expansion of PI in k
5.844 * [backup-simplify]: Simplify PI into PI
5.844 * [taylor]: Taking taylor expansion of n in k
5.844 * [backup-simplify]: Simplify n into n
5.844 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.844 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.844 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.845 * [backup-simplify]: Simplify (+ 1 0) into 1
5.845 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.845 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.845 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.846 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.846 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.846 * [taylor]: Taking taylor expansion of -1 in k
5.846 * [backup-simplify]: Simplify -1 into -1
5.846 * [taylor]: Taking taylor expansion of k in k
5.846 * [backup-simplify]: Simplify 0 into 0
5.846 * [backup-simplify]: Simplify 1 into 1
5.846 * [backup-simplify]: Simplify (/ -1 1) into -1
5.847 * [backup-simplify]: Simplify (sqrt 0) into 0
5.848 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.848 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
5.848 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
5.848 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.848 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.848 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.848 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.849 * [taylor]: Taking taylor expansion of 1/2 in k
5.849 * [backup-simplify]: Simplify 1/2 into 1/2
5.849 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.849 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.849 * [taylor]: Taking taylor expansion of k in k
5.849 * [backup-simplify]: Simplify 0 into 0
5.849 * [backup-simplify]: Simplify 1 into 1
5.849 * [backup-simplify]: Simplify (/ 1 1) into 1
5.849 * [taylor]: Taking taylor expansion of 1 in k
5.849 * [backup-simplify]: Simplify 1 into 1
5.849 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.849 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.849 * [taylor]: Taking taylor expansion of -2 in k
5.849 * [backup-simplify]: Simplify -2 into -2
5.849 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.849 * [taylor]: Taking taylor expansion of PI in k
5.849 * [backup-simplify]: Simplify PI into PI
5.849 * [taylor]: Taking taylor expansion of n in k
5.849 * [backup-simplify]: Simplify n into n
5.849 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.850 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.850 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.850 * [backup-simplify]: Simplify (+ 1 0) into 1
5.851 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.851 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.851 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.851 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.851 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.851 * [taylor]: Taking taylor expansion of -1 in k
5.851 * [backup-simplify]: Simplify -1 into -1
5.851 * [taylor]: Taking taylor expansion of k in k
5.851 * [backup-simplify]: Simplify 0 into 0
5.851 * [backup-simplify]: Simplify 1 into 1
5.852 * [backup-simplify]: Simplify (/ -1 1) into -1
5.852 * [backup-simplify]: Simplify (sqrt 0) into 0
5.853 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.854 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
5.854 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.854 * [taylor]: Taking taylor expansion of +nan.0 in n
5.854 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.854 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.854 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.854 * [taylor]: Taking taylor expansion of 1/2 in n
5.854 * [backup-simplify]: Simplify 1/2 into 1/2
5.854 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.854 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.854 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.854 * [taylor]: Taking taylor expansion of -2 in n
5.854 * [backup-simplify]: Simplify -2 into -2
5.854 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.854 * [taylor]: Taking taylor expansion of PI in n
5.854 * [backup-simplify]: Simplify PI into PI
5.854 * [taylor]: Taking taylor expansion of n in n
5.854 * [backup-simplify]: Simplify 0 into 0
5.854 * [backup-simplify]: Simplify 1 into 1
5.855 * [backup-simplify]: Simplify (/ PI 1) into PI
5.855 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.856 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.856 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.856 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.856 * [taylor]: Taking taylor expansion of k in n
5.856 * [backup-simplify]: Simplify k into k
5.856 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.856 * [taylor]: Taking taylor expansion of 1 in n
5.857 * [backup-simplify]: Simplify 1 into 1
5.858 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.858 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.859 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.867 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.868 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.870 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.871 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.876 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.877 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
5.877 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
5.877 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.877 * [taylor]: Taking taylor expansion of +nan.0 in n
5.877 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.877 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.877 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.877 * [taylor]: Taking taylor expansion of 1/2 in n
5.877 * [backup-simplify]: Simplify 1/2 into 1/2
5.877 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.877 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.877 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.877 * [taylor]: Taking taylor expansion of -2 in n
5.877 * [backup-simplify]: Simplify -2 into -2
5.877 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.877 * [taylor]: Taking taylor expansion of PI in n
5.877 * [backup-simplify]: Simplify PI into PI
5.877 * [taylor]: Taking taylor expansion of n in n
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify 1 into 1
5.878 * [backup-simplify]: Simplify (/ PI 1) into PI
5.878 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.879 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.879 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.880 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.880 * [taylor]: Taking taylor expansion of k in n
5.880 * [backup-simplify]: Simplify k into k
5.880 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.880 * [taylor]: Taking taylor expansion of 1 in n
5.880 * [backup-simplify]: Simplify 1 into 1
5.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.881 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.882 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.884 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.885 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.886 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.887 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.889 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.890 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.891 * [backup-simplify]: Simplify (+ 0 0) into 0
5.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.892 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
5.895 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
5.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
5.897 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.898 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
5.898 * [backup-simplify]: Simplify 0 into 0
5.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.902 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
5.902 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
5.902 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.902 * [taylor]: Taking taylor expansion of +nan.0 in n
5.902 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.902 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.902 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.902 * [taylor]: Taking taylor expansion of 1/2 in n
5.902 * [backup-simplify]: Simplify 1/2 into 1/2
5.902 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.902 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.902 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.902 * [taylor]: Taking taylor expansion of -2 in n
5.902 * [backup-simplify]: Simplify -2 into -2
5.902 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.902 * [taylor]: Taking taylor expansion of PI in n
5.902 * [backup-simplify]: Simplify PI into PI
5.902 * [taylor]: Taking taylor expansion of n in n
5.902 * [backup-simplify]: Simplify 0 into 0
5.902 * [backup-simplify]: Simplify 1 into 1
5.903 * [backup-simplify]: Simplify (/ PI 1) into PI
5.903 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.903 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.904 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.904 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.904 * [taylor]: Taking taylor expansion of k in n
5.904 * [backup-simplify]: Simplify k into k
5.904 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.904 * [taylor]: Taking taylor expansion of 1 in n
5.904 * [backup-simplify]: Simplify 1 into 1
5.905 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.905 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.905 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.906 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.907 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.907 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.908 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.909 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.912 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
5.912 * * * [progress]: simplifying candidates
5.912 * * * * [progress]: [ 1 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.912 * * * * [progress]: [ 2 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.912 * * * * [progress]: [ 3 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.912 * * * * [progress]: [ 4 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.912 * * * * [progress]: [ 5 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.912 * * * * [progress]: [ 6 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.912 * * * * [progress]: [ 7 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.912 * * * * [progress]: [ 8 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
5.912 * * * * [progress]: [ 9 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
5.912 * * * * [progress]: [ 10 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
5.912 * * * * [progress]: [ 11 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))>
5.912 * * * * [progress]: [ 12 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))>
5.912 * * * * [progress]: [ 13 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))>
5.912 * * * * [progress]: [ 14 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))>
5.912 * * * * [progress]: [ 15 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))>
5.912 * * * * [progress]: [ 16 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))>
5.912 * * * * [progress]: [ 17 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
5.912 * * * * [progress]: [ 18 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
5.912 * * * * [progress]: [ 19 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
5.913 * * * * [progress]: [ 20 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))>
5.913 * * * * [progress]: [ 21 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))>
5.913 * * * * [progress]: [ 22 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))>
5.913 * * * * [progress]: [ 23 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))>
5.913 * * * * [progress]: [ 24 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))>
5.913 * * * * [progress]: [ 25 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))>
5.913 * * * * [progress]: [ 26 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
5.913 * * * * [progress]: [ 27 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
5.913 * * * * [progress]: [ 28 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
5.913 * * * * [progress]: [ 29 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.913 * * * * [progress]: [ 30 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
5.913 * * * * [progress]: [ 31 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
5.913 * * * * [progress]: [ 32 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
5.913 * * * * [progress]: [ 33 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.913 * * * * [progress]: [ 34 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.913 * * * * [progress]: [ 35 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.913 * * * * [progress]: [ 36 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.913 * * * * [progress]: [ 37 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.913 * * * * [progress]: [ 38 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.913 * * * * [progress]: [ 39 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.913 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.913 * * * * [progress]: [ 41 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.913 * * * * [progress]: [ 42 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.913 * * * * [progress]: [ 43 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.913 * * * * [progress]: [ 44 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 45 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 46 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 47 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 48 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 49 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 50 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 51 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 52 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 53 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 54 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 55 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 56 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 57 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 58 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 59 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 60 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 61 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- 1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 62 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) (- 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 63 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- (/ 1 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 64 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 65 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 66 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- 0 (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 67 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log 1) (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 68 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 69 / 188 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.914 * * * * [progress]: [ 70 / 188 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 71 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 72 / 188 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 73 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 74 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1) (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 75 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 76 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 77 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 78 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 79 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 80 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 81 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 82 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 83 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 84 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 85 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 86 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 87 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 88 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 89 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.915 * * * * [progress]: [ 90 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
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5.915 * * * * [progress]: [ 92 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
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5.915 * * * * [progress]: [ 96 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.916 * * * * [progress]: [ 97 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.916 * * * * [progress]: [ 98 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
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5.916 * * * * [progress]: [ 104 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.916 * * * * [progress]: [ 105 / 188 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.916 * * * * [progress]: [ 106 / 188 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
5.916 * * * * [progress]: [ 107 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.916 * * * * [progress]: [ 108 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.916 * * * * [progress]: [ 109 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
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5.916 * * * * [progress]: [ 112 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.916 * * * * [progress]: [ 113 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.916 * * * * [progress]: [ 114 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
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5.916 * * * * [progress]: [ 118 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
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5.917 * * * * [progress]: [ 122 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.917 * * * * [progress]: [ 123 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
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5.917 * * * * [progress]: [ 128 / 188 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.917 * * * * [progress]: [ 129 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.917 * * * * [progress]: [ 130 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.917 * * * * [progress]: [ 131 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.917 * * * * [progress]: [ 132 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.917 * * * * [progress]: [ 133 / 188 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.917 * * * * [progress]: [ 134 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))>
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5.917 * * * * [progress]: [ 147 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 148 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 149 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.918 * * * * [progress]: [ 150 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))>
5.918 * * * * [progress]: [ 151 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 152 / 188 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 153 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 154 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 155 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 156 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 157 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 158 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 159 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 160 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 161 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 162 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt 1)) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 163 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 164 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 165 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 166 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 167 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 168 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 169 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 170 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.918 * * * * [progress]: [ 171 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.919 * * * * [progress]: [ 172 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.919 * * * * [progress]: [ 173 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
5.919 * * * * [progress]: [ 174 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))>
5.919 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.919 * * * * [progress]: [ 176 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
5.919 * * * * [progress]: [ 177 / 188 ] 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)))))))>
5.919 * * * * [progress]: [ 178 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
5.919 * * * * [progress]: [ 179 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
5.919 * * * * [progress]: [ 180 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.919 * * * * [progress]: [ 181 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.919 * * * * [progress]: [ 182 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.919 * * * * [progress]: [ 183 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.919 * * * * [progress]: [ 184 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.919 * * * * [progress]: [ 185 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.919 * * * * [progress]: [ 186 / 188 ] 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))))))))))))))>
5.919 * * * * [progress]: [ 187 / 188 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
5.919 * * * * [progress]: [ 188 / 188 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
5.921 * [simplify]: Simplifying:
  (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))
  (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* (* 2 PI) n) (/ 1 2))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) 1)
  (pow (* (* 2 PI) n) (- 1 k))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (+ (+ (log 2) (log PI)) (log n))
  (+ (log (* 2 PI)) (log n))
  (log (* (* 2 PI) n))
  (exp (* (* 2 PI) n))
  (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* 2 PI) (* (cbrt n) (cbrt n)))
  (* (* 2 PI) (sqrt n))
  (* (* 2 PI) 1)
  (* PI n)
  (real->posit16 (* (* 2 PI) n))
  (- 1/2)
  (- 1)
  (- (/ 1 2))
  (- (log (sqrt k)))
  (- 0 (log (sqrt k)))
  (- (log 1) (log (sqrt k)))
  (log (/ 1 (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (- 1)
  (- (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1) (cbrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1) (sqrt (cbrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (sqrt k))
  (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1) (cbrt (sqrt k)))
  (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1)
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ (sqrt k) (cbrt 1))
  (/ (sqrt k) (sqrt 1))
  (/ (sqrt k) 1)
  (real->posit16 (/ 1 (sqrt k)))
  (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* 1 (pow (* (* 2 PI) n) (/ 1 2)))
  (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt k)) 1)
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2)))
  (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
5.926 * * [simplify]: iteration 0: 345 enodes
6.086 * * [simplify]: iteration 1: 930 enodes
6.306 * * [simplify]: iteration 2: 2001 enodes
6.678 * * [simplify]: iteration complete: 2001 enodes
6.678 * * [simplify]: Extracting #0: cost 96 inf + 0
6.680 * * [simplify]: Extracting #1: cost 330 inf + 3
6.683 * * [simplify]: Extracting #2: cost 579 inf + 6154
6.702 * * [simplify]: Extracting #3: cost 533 inf + 43676
6.731 * * [simplify]: Extracting #4: cost 344 inf + 117720
6.764 * * [simplify]: Extracting #5: cost 155 inf + 185076
6.806 * * [simplify]: Extracting #6: cost 63 inf + 220369
6.858 * * [simplify]: Extracting #7: cost 15 inf + 248942
6.920 * * [simplify]: Extracting #8: cost 0 inf + 258292
6.960 * * [simplify]: Extracting #9: cost 0 inf + 256272
7.006 * [simplify]: Simplified to:
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (sqrt (* n (* 2 PI)))
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2)))
  (pow (* n (* 2 PI)) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* n (* 2 PI)) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* n (* 2 PI)) (sqrt (- 1 k)))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (* n (* 2 PI))
  (pow (* n (* 2 PI)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (+ (sqrt k) 1))
  (pow (* n (* 2 PI)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (+ (sqrt k) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (pow (* n (* 2 PI)) (- 1 k))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (* (/ (- 1 k) 2) (log (* n (* 2 PI))))
  (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 3)
  (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (pow (* n (* 2 PI)) (/ (- 1 k) 4))
  (pow (* n (* 2 PI)) (/ (- 1 k) 4))
  (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (log (* n (* 2 PI)))
  (log (* n (* 2 PI)))
  (log (* n (* 2 PI)))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* (* (* PI PI) PI) (* 2 4)) (* n n)) n)
  (* (* (* 2 PI) (* (* 2 PI) (* 2 PI))) (* (* n n) n))
  (* (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)))
  (* (* (cbrt n) (cbrt n)) (* 2 PI))
  (* (* 2 PI) (sqrt n))
  (* 2 PI)
  (* PI n)
  (real->posit16 (* n (* 2 PI)))
  -1/2
  -1
  -1/2
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ 1 (* k (sqrt k)))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (* (/ (/ 1 (sqrt k)) (sqrt k)) (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  -1
  (- (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (sqrt k)
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt (sqrt k)))
  1
  (sqrt k)
  (sqrt k)
  (sqrt k)
  (real->posit16 (/ 1 (sqrt k)))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))
  (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 3) (* k (sqrt k)))
  (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 3) (* (/ (/ 1 (sqrt k)) (sqrt k)) (/ 1 (sqrt k))))
  (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (* n (* 2 PI)))
  (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))
  (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))
  (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))
  (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))
  (* (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k))
  (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ 1 (sqrt k))))
  (* (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (sqrt (* n (* 2 PI))) (sqrt k))
  (pow (* n (* 2 PI)) (/ (- 1 k) 2))
  (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (- (+ (+ (* (* (log (* 2 PI)) (* (* (log n) (* k k)) (exp (* (log (* n (* 2 PI))) 1/2)))) 1/4) (* (* (exp (* (log (* n (* 2 PI))) 1/2)) (* (* (log n) (log n)) (* k k))) 1/8)) (+ (exp (* (log (* n (* 2 PI))) 1/2)) (* 1/8 (* (* (* (exp (* (log (* n (* 2 PI))) 1/2)) (* k k)) (log (* 2 PI))) (log (* 2 PI)))))) (* 1/2 (* k (+ (* (exp (* (log (* n (* 2 PI))) 1/2)) (log n)) (* (log (* 2 PI)) (exp (* (log (* n (* 2 PI))) 1/2)))))))
  (exp (* (* 1/2 (- 1 k)) (log (* n (* 2 PI)))))
  (exp (* (* 1/2 (- (log (* PI -2)) (log (/ -1 n)))) (- 1 k)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (- (+ (- (* (* k k) +nan.0) +nan.0) (* k +nan.0)))
  (+ (/ (- +nan.0) (* k k)) (- (/ +nan.0 k) (/ +nan.0 (* (* k k) k))))
  (- (- (/ +nan.0 (* k k)) (- (/ +nan.0 k) +nan.0)))
  (+ (* (* +nan.0 (sqrt 2)) (- (* (* PI n) k))) (+ (- (* (* +nan.0 (sqrt 2)) (* PI n)) (* +nan.0 (* (* (* (* PI n) k) (sqrt 2)) (log (* 2 PI))))) (* (* +nan.0 (sqrt 2)) (- (* (* PI n) (* k (log n))) (* (* PI n) (* PI n))))))
  (+ (* (- +nan.0) (/ (exp (* (* 1/2 (- 1 k)) (log (* n (* 2 PI))))) k)) (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (log (* n (* 2 PI)))))) (* k k)) (* (/ +nan.0 (* k k)) (/ (exp (* (* 1/2 (- 1 k)) (log (* n (* 2 PI))))) k))))
  (- (- (* +nan.0 (/ (exp (* (* 1/2 (- (log (* PI -2)) (log (/ -1 n)))) (- 1 k))) k)) (* +nan.0 (+ (- (exp (* (* 1/2 (- (log (* PI -2)) (log (/ -1 n)))) (- 1 k)))) (/ (exp (* (* 1/2 (- (log (* PI -2)) (log (/ -1 n)))) (- 1 k))) (* k k))))))
7.023 * * * [progress]: adding candidates to table
9.109 * * [progress]: iteration 3 / 4
9.109 * * * [progress]: picking best candidate
9.152 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
9.152 * * * [progress]: localizing error
9.175 * * * [progress]: generating rewritten candidates
9.175 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
9.209 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
9.237 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
9.257 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
9.307 * * * [progress]: generating series expansions
9.307 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
9.307 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
9.307 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
9.307 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
9.307 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
9.307 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
9.307 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
9.307 * [taylor]: Taking taylor expansion of 1/2 in k
9.307 * [backup-simplify]: Simplify 1/2 into 1/2
9.307 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
9.307 * [taylor]: Taking taylor expansion of 1/2 in k
9.307 * [backup-simplify]: Simplify 1/2 into 1/2
9.307 * [taylor]: Taking taylor expansion of k in k
9.307 * [backup-simplify]: Simplify 0 into 0
9.307 * [backup-simplify]: Simplify 1 into 1
9.307 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
9.307 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
9.307 * [taylor]: Taking taylor expansion of 2 in k
9.307 * [backup-simplify]: Simplify 2 into 2
9.307 * [taylor]: Taking taylor expansion of (* n PI) in k
9.307 * [taylor]: Taking taylor expansion of n in k
9.307 * [backup-simplify]: Simplify n into n
9.307 * [taylor]: Taking taylor expansion of PI in k
9.307 * [backup-simplify]: Simplify PI into PI
9.307 * [backup-simplify]: Simplify (* n PI) into (* n PI)
9.307 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
9.307 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
9.308 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.308 * [backup-simplify]: Simplify (- 0) into 0
9.308 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
9.309 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
9.309 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
9.309 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
9.309 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
9.309 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
9.309 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
9.309 * [taylor]: Taking taylor expansion of 1/2 in n
9.309 * [backup-simplify]: Simplify 1/2 into 1/2
9.309 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
9.309 * [taylor]: Taking taylor expansion of 1/2 in n
9.309 * [backup-simplify]: Simplify 1/2 into 1/2
9.309 * [taylor]: Taking taylor expansion of k in n
9.309 * [backup-simplify]: Simplify k into k
9.309 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.309 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.309 * [taylor]: Taking taylor expansion of 2 in n
9.309 * [backup-simplify]: Simplify 2 into 2
9.309 * [taylor]: Taking taylor expansion of (* n PI) in n
9.309 * [taylor]: Taking taylor expansion of n in n
9.309 * [backup-simplify]: Simplify 0 into 0
9.309 * [backup-simplify]: Simplify 1 into 1
9.309 * [taylor]: Taking taylor expansion of PI in n
9.309 * [backup-simplify]: Simplify PI into PI
9.309 * [backup-simplify]: Simplify (* 0 PI) into 0
9.310 * [backup-simplify]: Simplify (* 2 0) into 0
9.311 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.311 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.312 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.312 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
9.312 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
9.312 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
9.314 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.314 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
9.315 * [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)))))
9.315 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
9.315 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
9.315 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
9.315 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
9.315 * [taylor]: Taking taylor expansion of 1/2 in n
9.315 * [backup-simplify]: Simplify 1/2 into 1/2
9.315 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
9.315 * [taylor]: Taking taylor expansion of 1/2 in n
9.315 * [backup-simplify]: Simplify 1/2 into 1/2
9.315 * [taylor]: Taking taylor expansion of k in n
9.315 * [backup-simplify]: Simplify k into k
9.315 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.315 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.315 * [taylor]: Taking taylor expansion of 2 in n
9.315 * [backup-simplify]: Simplify 2 into 2
9.315 * [taylor]: Taking taylor expansion of (* n PI) in n
9.315 * [taylor]: Taking taylor expansion of n in n
9.315 * [backup-simplify]: Simplify 0 into 0
9.315 * [backup-simplify]: Simplify 1 into 1
9.315 * [taylor]: Taking taylor expansion of PI in n
9.316 * [backup-simplify]: Simplify PI into PI
9.316 * [backup-simplify]: Simplify (* 0 PI) into 0
9.316 * [backup-simplify]: Simplify (* 2 0) into 0
9.317 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.318 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.319 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.319 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
9.319 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
9.319 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
9.320 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.320 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
9.321 * [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)))))
9.321 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
9.321 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
9.321 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
9.321 * [taylor]: Taking taylor expansion of 1/2 in k
9.321 * [backup-simplify]: Simplify 1/2 into 1/2
9.321 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
9.321 * [taylor]: Taking taylor expansion of 1/2 in k
9.321 * [backup-simplify]: Simplify 1/2 into 1/2
9.321 * [taylor]: Taking taylor expansion of k in k
9.321 * [backup-simplify]: Simplify 0 into 0
9.321 * [backup-simplify]: Simplify 1 into 1
9.321 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
9.321 * [taylor]: Taking taylor expansion of (log n) in k
9.321 * [taylor]: Taking taylor expansion of n in k
9.321 * [backup-simplify]: Simplify n into n
9.321 * [backup-simplify]: Simplify (log n) into (log n)
9.321 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
9.321 * [taylor]: Taking taylor expansion of (* 2 PI) in k
9.321 * [taylor]: Taking taylor expansion of 2 in k
9.322 * [backup-simplify]: Simplify 2 into 2
9.322 * [taylor]: Taking taylor expansion of PI in k
9.322 * [backup-simplify]: Simplify PI into PI
9.322 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.323 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.323 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.323 * [backup-simplify]: Simplify (- 0) into 0
9.323 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
9.324 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.325 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
9.325 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
9.326 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
9.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
9.328 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
9.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
9.329 * [backup-simplify]: Simplify (- 0) into 0
9.330 * [backup-simplify]: Simplify (+ 0 0) into 0
9.330 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.331 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
9.332 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.332 * [taylor]: Taking taylor expansion of 0 in k
9.332 * [backup-simplify]: Simplify 0 into 0
9.332 * [backup-simplify]: Simplify 0 into 0
9.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
9.333 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
9.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.335 * [backup-simplify]: Simplify (+ 0 0) into 0
9.336 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
9.336 * [backup-simplify]: Simplify (- 1/2) into -1/2
9.337 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
9.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
9.341 * [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)))))))
9.345 * [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)))))))
9.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
9.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
9.351 * [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
9.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
9.352 * [backup-simplify]: Simplify (- 0) into 0
9.353 * [backup-simplify]: Simplify (+ 0 0) into 0
9.354 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.356 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
9.358 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.358 * [taylor]: Taking taylor expansion of 0 in k
9.358 * [backup-simplify]: Simplify 0 into 0
9.358 * [backup-simplify]: Simplify 0 into 0
9.358 * [backup-simplify]: Simplify 0 into 0
9.360 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
9.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
9.364 * [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
9.365 * [backup-simplify]: Simplify (+ 0 0) into 0
9.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
9.366 * [backup-simplify]: Simplify (- 0) into 0
9.366 * [backup-simplify]: Simplify (+ 0 0) into 0
9.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
9.372 * [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)))))
9.378 * [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)))))
9.388 * [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)))))
9.388 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
9.388 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
9.388 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
9.388 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
9.388 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
9.389 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
9.389 * [taylor]: Taking taylor expansion of 1/2 in k
9.389 * [backup-simplify]: Simplify 1/2 into 1/2
9.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
9.389 * [taylor]: Taking taylor expansion of 1/2 in k
9.389 * [backup-simplify]: Simplify 1/2 into 1/2
9.389 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.389 * [taylor]: Taking taylor expansion of k in k
9.389 * [backup-simplify]: Simplify 0 into 0
9.389 * [backup-simplify]: Simplify 1 into 1
9.389 * [backup-simplify]: Simplify (/ 1 1) into 1
9.389 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
9.389 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
9.389 * [taylor]: Taking taylor expansion of 2 in k
9.389 * [backup-simplify]: Simplify 2 into 2
9.389 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.389 * [taylor]: Taking taylor expansion of PI in k
9.389 * [backup-simplify]: Simplify PI into PI
9.389 * [taylor]: Taking taylor expansion of n in k
9.389 * [backup-simplify]: Simplify n into n
9.390 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.390 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
9.390 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
9.390 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.391 * [backup-simplify]: Simplify (- 1/2) into -1/2
9.391 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
9.391 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
9.391 * [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))))
9.391 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
9.391 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
9.392 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
9.392 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
9.392 * [taylor]: Taking taylor expansion of 1/2 in n
9.392 * [backup-simplify]: Simplify 1/2 into 1/2
9.392 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
9.392 * [taylor]: Taking taylor expansion of 1/2 in n
9.392 * [backup-simplify]: Simplify 1/2 into 1/2
9.392 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.392 * [taylor]: Taking taylor expansion of k in n
9.392 * [backup-simplify]: Simplify k into k
9.392 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.392 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
9.392 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.392 * [taylor]: Taking taylor expansion of 2 in n
9.392 * [backup-simplify]: Simplify 2 into 2
9.392 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.392 * [taylor]: Taking taylor expansion of PI in n
9.392 * [backup-simplify]: Simplify PI into PI
9.392 * [taylor]: Taking taylor expansion of n in n
9.392 * [backup-simplify]: Simplify 0 into 0
9.392 * [backup-simplify]: Simplify 1 into 1
9.393 * [backup-simplify]: Simplify (/ PI 1) into PI
9.393 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.394 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.394 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
9.395 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
9.395 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
9.396 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.398 * [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)))
9.399 * [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))))
9.399 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
9.399 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
9.399 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
9.399 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
9.399 * [taylor]: Taking taylor expansion of 1/2 in n
9.399 * [backup-simplify]: Simplify 1/2 into 1/2
9.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
9.399 * [taylor]: Taking taylor expansion of 1/2 in n
9.399 * [backup-simplify]: Simplify 1/2 into 1/2
9.399 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.399 * [taylor]: Taking taylor expansion of k in n
9.399 * [backup-simplify]: Simplify k into k
9.399 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.399 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
9.399 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.399 * [taylor]: Taking taylor expansion of 2 in n
9.399 * [backup-simplify]: Simplify 2 into 2
9.399 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.399 * [taylor]: Taking taylor expansion of PI in n
9.399 * [backup-simplify]: Simplify PI into PI
9.399 * [taylor]: Taking taylor expansion of n in n
9.399 * [backup-simplify]: Simplify 0 into 0
9.399 * [backup-simplify]: Simplify 1 into 1
9.400 * [backup-simplify]: Simplify (/ PI 1) into PI
9.400 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.401 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.402 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
9.402 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
9.402 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
9.403 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.405 * [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)))
9.406 * [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))))
9.406 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
9.406 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
9.406 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
9.406 * [taylor]: Taking taylor expansion of 1/2 in k
9.406 * [backup-simplify]: Simplify 1/2 into 1/2
9.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
9.406 * [taylor]: Taking taylor expansion of 1/2 in k
9.406 * [backup-simplify]: Simplify 1/2 into 1/2
9.406 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.406 * [taylor]: Taking taylor expansion of k in k
9.406 * [backup-simplify]: Simplify 0 into 0
9.406 * [backup-simplify]: Simplify 1 into 1
9.407 * [backup-simplify]: Simplify (/ 1 1) into 1
9.407 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
9.407 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
9.407 * [taylor]: Taking taylor expansion of (* 2 PI) in k
9.407 * [taylor]: Taking taylor expansion of 2 in k
9.407 * [backup-simplify]: Simplify 2 into 2
9.407 * [taylor]: Taking taylor expansion of PI in k
9.407 * [backup-simplify]: Simplify PI into PI
9.407 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.408 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.408 * [taylor]: Taking taylor expansion of (log n) in k
9.408 * [taylor]: Taking taylor expansion of n in k
9.409 * [backup-simplify]: Simplify n into n
9.409 * [backup-simplify]: Simplify (log n) into (log n)
9.409 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.409 * [backup-simplify]: Simplify (- 1/2) into -1/2
9.410 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
9.410 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
9.411 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
9.412 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
9.413 * [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))))
9.414 * [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))))
9.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.415 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
9.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
9.417 * [backup-simplify]: Simplify (- 0) into 0
9.417 * [backup-simplify]: Simplify (+ 0 0) into 0
9.418 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.419 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
9.420 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
9.420 * [taylor]: Taking taylor expansion of 0 in k
9.420 * [backup-simplify]: Simplify 0 into 0
9.420 * [backup-simplify]: Simplify 0 into 0
9.420 * [backup-simplify]: Simplify 0 into 0
9.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.421 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
9.428 * [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
9.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
9.429 * [backup-simplify]: Simplify (- 0) into 0
9.429 * [backup-simplify]: Simplify (+ 0 0) into 0
9.430 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.431 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
9.433 * [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
9.433 * [taylor]: Taking taylor expansion of 0 in k
9.433 * [backup-simplify]: Simplify 0 into 0
9.433 * [backup-simplify]: Simplify 0 into 0
9.433 * [backup-simplify]: Simplify 0 into 0
9.433 * [backup-simplify]: Simplify 0 into 0
9.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.434 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.437 * [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
9.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
9.439 * [backup-simplify]: Simplify (- 0) into 0
9.439 * [backup-simplify]: Simplify (+ 0 0) into 0
9.440 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.441 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
9.444 * [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
9.444 * [taylor]: Taking taylor expansion of 0 in k
9.444 * [backup-simplify]: Simplify 0 into 0
9.444 * [backup-simplify]: Simplify 0 into 0
9.445 * [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)))))
9.445 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
9.445 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
9.445 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
9.445 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
9.445 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
9.445 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
9.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
9.445 * [taylor]: Taking taylor expansion of 1/2 in k
9.445 * [backup-simplify]: Simplify 1/2 into 1/2
9.445 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.445 * [taylor]: Taking taylor expansion of k in k
9.445 * [backup-simplify]: Simplify 0 into 0
9.445 * [backup-simplify]: Simplify 1 into 1
9.446 * [backup-simplify]: Simplify (/ 1 1) into 1
9.446 * [taylor]: Taking taylor expansion of 1/2 in k
9.446 * [backup-simplify]: Simplify 1/2 into 1/2
9.446 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
9.446 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
9.446 * [taylor]: Taking taylor expansion of -2 in k
9.446 * [backup-simplify]: Simplify -2 into -2
9.446 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.446 * [taylor]: Taking taylor expansion of PI in k
9.446 * [backup-simplify]: Simplify PI into PI
9.446 * [taylor]: Taking taylor expansion of n in k
9.446 * [backup-simplify]: Simplify n into n
9.446 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.446 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
9.446 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
9.447 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.447 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
9.447 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
9.447 * [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)))
9.448 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
9.448 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
9.448 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
9.448 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
9.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
9.448 * [taylor]: Taking taylor expansion of 1/2 in n
9.448 * [backup-simplify]: Simplify 1/2 into 1/2
9.448 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.448 * [taylor]: Taking taylor expansion of k in n
9.448 * [backup-simplify]: Simplify k into k
9.448 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.448 * [taylor]: Taking taylor expansion of 1/2 in n
9.448 * [backup-simplify]: Simplify 1/2 into 1/2
9.448 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.448 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.448 * [taylor]: Taking taylor expansion of -2 in n
9.448 * [backup-simplify]: Simplify -2 into -2
9.448 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.448 * [taylor]: Taking taylor expansion of PI in n
9.448 * [backup-simplify]: Simplify PI into PI
9.448 * [taylor]: Taking taylor expansion of n in n
9.448 * [backup-simplify]: Simplify 0 into 0
9.448 * [backup-simplify]: Simplify 1 into 1
9.449 * [backup-simplify]: Simplify (/ PI 1) into PI
9.449 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.450 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.450 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
9.450 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
9.452 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.453 * [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)))
9.455 * [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))))
9.455 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
9.455 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
9.455 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
9.455 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
9.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
9.455 * [taylor]: Taking taylor expansion of 1/2 in n
9.455 * [backup-simplify]: Simplify 1/2 into 1/2
9.455 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.455 * [taylor]: Taking taylor expansion of k in n
9.455 * [backup-simplify]: Simplify k into k
9.455 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.455 * [taylor]: Taking taylor expansion of 1/2 in n
9.455 * [backup-simplify]: Simplify 1/2 into 1/2
9.455 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.455 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.455 * [taylor]: Taking taylor expansion of -2 in n
9.455 * [backup-simplify]: Simplify -2 into -2
9.455 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.455 * [taylor]: Taking taylor expansion of PI in n
9.455 * [backup-simplify]: Simplify PI into PI
9.455 * [taylor]: Taking taylor expansion of n in n
9.455 * [backup-simplify]: Simplify 0 into 0
9.455 * [backup-simplify]: Simplify 1 into 1
9.456 * [backup-simplify]: Simplify (/ PI 1) into PI
9.456 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.457 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.457 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
9.457 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
9.459 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.460 * [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)))
9.461 * [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))))
9.461 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
9.461 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
9.461 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
9.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
9.461 * [taylor]: Taking taylor expansion of 1/2 in k
9.461 * [backup-simplify]: Simplify 1/2 into 1/2
9.461 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.461 * [taylor]: Taking taylor expansion of k in k
9.461 * [backup-simplify]: Simplify 0 into 0
9.461 * [backup-simplify]: Simplify 1 into 1
9.461 * [backup-simplify]: Simplify (/ 1 1) into 1
9.461 * [taylor]: Taking taylor expansion of 1/2 in k
9.461 * [backup-simplify]: Simplify 1/2 into 1/2
9.461 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
9.461 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
9.461 * [taylor]: Taking taylor expansion of (* -2 PI) in k
9.461 * [taylor]: Taking taylor expansion of -2 in k
9.461 * [backup-simplify]: Simplify -2 into -2
9.461 * [taylor]: Taking taylor expansion of PI in k
9.461 * [backup-simplify]: Simplify PI into PI
9.461 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.462 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.462 * [taylor]: Taking taylor expansion of (log n) in k
9.462 * [taylor]: Taking taylor expansion of n in k
9.462 * [backup-simplify]: Simplify n into n
9.462 * [backup-simplify]: Simplify (log n) into (log n)
9.462 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.463 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
9.463 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
9.463 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
9.464 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
9.465 * [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))))
9.466 * [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))))
9.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.467 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
9.468 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
9.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
9.468 * [backup-simplify]: Simplify (+ 0 0) into 0
9.469 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.470 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
9.471 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
9.471 * [taylor]: Taking taylor expansion of 0 in k
9.471 * [backup-simplify]: Simplify 0 into 0
9.471 * [backup-simplify]: Simplify 0 into 0
9.471 * [backup-simplify]: Simplify 0 into 0
9.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.472 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
9.474 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
9.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
9.475 * [backup-simplify]: Simplify (+ 0 0) into 0
9.476 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.477 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
9.478 * [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
9.479 * [taylor]: Taking taylor expansion of 0 in k
9.479 * [backup-simplify]: Simplify 0 into 0
9.479 * [backup-simplify]: Simplify 0 into 0
9.479 * [backup-simplify]: Simplify 0 into 0
9.479 * [backup-simplify]: Simplify 0 into 0
9.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.480 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.483 * [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
9.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
9.484 * [backup-simplify]: Simplify (+ 0 0) into 0
9.485 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.487 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
9.490 * [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
9.490 * [taylor]: Taking taylor expansion of 0 in k
9.490 * [backup-simplify]: Simplify 0 into 0
9.490 * [backup-simplify]: Simplify 0 into 0
9.491 * [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)))))
9.491 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
9.492 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
9.492 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
9.492 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.492 * [taylor]: Taking taylor expansion of 2 in n
9.492 * [backup-simplify]: Simplify 2 into 2
9.492 * [taylor]: Taking taylor expansion of (* n PI) in n
9.492 * [taylor]: Taking taylor expansion of n in n
9.492 * [backup-simplify]: Simplify 0 into 0
9.492 * [backup-simplify]: Simplify 1 into 1
9.492 * [taylor]: Taking taylor expansion of PI in n
9.492 * [backup-simplify]: Simplify PI into PI
9.492 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.492 * [taylor]: Taking taylor expansion of 2 in n
9.492 * [backup-simplify]: Simplify 2 into 2
9.492 * [taylor]: Taking taylor expansion of (* n PI) in n
9.492 * [taylor]: Taking taylor expansion of n in n
9.492 * [backup-simplify]: Simplify 0 into 0
9.492 * [backup-simplify]: Simplify 1 into 1
9.492 * [taylor]: Taking taylor expansion of PI in n
9.492 * [backup-simplify]: Simplify PI into PI
9.492 * [backup-simplify]: Simplify (* 0 PI) into 0
9.493 * [backup-simplify]: Simplify (* 2 0) into 0
9.493 * [backup-simplify]: Simplify 0 into 0
9.494 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.495 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.495 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
9.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
9.497 * [backup-simplify]: Simplify 0 into 0
9.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
9.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
9.498 * [backup-simplify]: Simplify 0 into 0
9.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
9.500 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
9.500 * [backup-simplify]: Simplify 0 into 0
9.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
9.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
9.501 * [backup-simplify]: Simplify 0 into 0
9.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
9.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
9.503 * [backup-simplify]: Simplify 0 into 0
9.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
9.506 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
9.506 * [backup-simplify]: Simplify 0 into 0
9.506 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
9.506 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
9.506 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
9.506 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.506 * [taylor]: Taking taylor expansion of 2 in n
9.506 * [backup-simplify]: Simplify 2 into 2
9.506 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.506 * [taylor]: Taking taylor expansion of PI in n
9.506 * [backup-simplify]: Simplify PI into PI
9.506 * [taylor]: Taking taylor expansion of n in n
9.506 * [backup-simplify]: Simplify 0 into 0
9.506 * [backup-simplify]: Simplify 1 into 1
9.507 * [backup-simplify]: Simplify (/ PI 1) into PI
9.507 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.507 * [taylor]: Taking taylor expansion of 2 in n
9.507 * [backup-simplify]: Simplify 2 into 2
9.507 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.507 * [taylor]: Taking taylor expansion of PI in n
9.507 * [backup-simplify]: Simplify PI into PI
9.507 * [taylor]: Taking taylor expansion of n in n
9.507 * [backup-simplify]: Simplify 0 into 0
9.507 * [backup-simplify]: Simplify 1 into 1
9.507 * [backup-simplify]: Simplify (/ PI 1) into PI
9.508 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.508 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.509 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
9.509 * [backup-simplify]: Simplify 0 into 0
9.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.510 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
9.510 * [backup-simplify]: Simplify 0 into 0
9.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.512 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.512 * [backup-simplify]: Simplify 0 into 0
9.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.513 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
9.513 * [backup-simplify]: Simplify 0 into 0
9.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.515 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
9.515 * [backup-simplify]: Simplify 0 into 0
9.515 * [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
9.516 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
9.516 * [backup-simplify]: Simplify 0 into 0
9.517 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
9.517 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
9.517 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
9.517 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.517 * [taylor]: Taking taylor expansion of -2 in n
9.517 * [backup-simplify]: Simplify -2 into -2
9.517 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.517 * [taylor]: Taking taylor expansion of PI in n
9.517 * [backup-simplify]: Simplify PI into PI
9.517 * [taylor]: Taking taylor expansion of n in n
9.517 * [backup-simplify]: Simplify 0 into 0
9.517 * [backup-simplify]: Simplify 1 into 1
9.517 * [backup-simplify]: Simplify (/ PI 1) into PI
9.517 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.517 * [taylor]: Taking taylor expansion of -2 in n
9.517 * [backup-simplify]: Simplify -2 into -2
9.517 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.517 * [taylor]: Taking taylor expansion of PI in n
9.517 * [backup-simplify]: Simplify PI into PI
9.517 * [taylor]: Taking taylor expansion of n in n
9.517 * [backup-simplify]: Simplify 0 into 0
9.517 * [backup-simplify]: Simplify 1 into 1
9.518 * [backup-simplify]: Simplify (/ PI 1) into PI
9.518 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.518 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.519 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
9.519 * [backup-simplify]: Simplify 0 into 0
9.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.521 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
9.521 * [backup-simplify]: Simplify 0 into 0
9.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.923 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.924 * [backup-simplify]: Simplify 0 into 0
9.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.927 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
9.927 * [backup-simplify]: Simplify 0 into 0
9.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.929 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
9.929 * [backup-simplify]: Simplify 0 into 0
9.931 * [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
9.932 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
9.932 * [backup-simplify]: Simplify 0 into 0
9.933 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
9.934 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
9.934 * [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))
9.934 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
9.934 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
9.934 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
9.934 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
9.934 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
9.934 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
9.934 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
9.934 * [taylor]: Taking taylor expansion of 1/2 in n
9.934 * [backup-simplify]: Simplify 1/2 into 1/2
9.934 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
9.934 * [taylor]: Taking taylor expansion of 1/2 in n
9.934 * [backup-simplify]: Simplify 1/2 into 1/2
9.934 * [taylor]: Taking taylor expansion of k in n
9.934 * [backup-simplify]: Simplify k into k
9.934 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.934 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.934 * [taylor]: Taking taylor expansion of 2 in n
9.934 * [backup-simplify]: Simplify 2 into 2
9.934 * [taylor]: Taking taylor expansion of (* n PI) in n
9.934 * [taylor]: Taking taylor expansion of n in n
9.934 * [backup-simplify]: Simplify 0 into 0
9.934 * [backup-simplify]: Simplify 1 into 1
9.934 * [taylor]: Taking taylor expansion of PI in n
9.935 * [backup-simplify]: Simplify PI into PI
9.935 * [backup-simplify]: Simplify (* 0 PI) into 0
9.935 * [backup-simplify]: Simplify (* 2 0) into 0
9.936 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.937 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.938 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.938 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
9.938 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
9.938 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
9.939 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.940 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
9.940 * [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)))))
9.941 * [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))))))
9.941 * [taylor]: Taking taylor expansion of (sqrt k) in n
9.941 * [taylor]: Taking taylor expansion of k in n
9.941 * [backup-simplify]: Simplify k into k
9.941 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
9.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
9.941 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
9.941 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
9.941 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
9.941 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
9.941 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
9.941 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
9.941 * [taylor]: Taking taylor expansion of 1/2 in k
9.941 * [backup-simplify]: Simplify 1/2 into 1/2
9.941 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
9.941 * [taylor]: Taking taylor expansion of 1/2 in k
9.941 * [backup-simplify]: Simplify 1/2 into 1/2
9.941 * [taylor]: Taking taylor expansion of k in k
9.942 * [backup-simplify]: Simplify 0 into 0
9.942 * [backup-simplify]: Simplify 1 into 1
9.942 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
9.942 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
9.942 * [taylor]: Taking taylor expansion of 2 in k
9.942 * [backup-simplify]: Simplify 2 into 2
9.942 * [taylor]: Taking taylor expansion of (* n PI) in k
9.942 * [taylor]: Taking taylor expansion of n in k
9.942 * [backup-simplify]: Simplify n into n
9.942 * [taylor]: Taking taylor expansion of PI in k
9.942 * [backup-simplify]: Simplify PI into PI
9.942 * [backup-simplify]: Simplify (* n PI) into (* n PI)
9.942 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
9.942 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
9.942 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.942 * [backup-simplify]: Simplify (- 0) into 0
9.943 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
9.943 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
9.943 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
9.943 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
9.943 * [taylor]: Taking taylor expansion of (sqrt k) in k
9.943 * [taylor]: Taking taylor expansion of k in k
9.943 * [backup-simplify]: Simplify 0 into 0
9.943 * [backup-simplify]: Simplify 1 into 1
9.943 * [backup-simplify]: Simplify (sqrt 0) into 0
9.944 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.944 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
9.944 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
9.944 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
9.944 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
9.944 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
9.944 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
9.944 * [taylor]: Taking taylor expansion of 1/2 in k
9.944 * [backup-simplify]: Simplify 1/2 into 1/2
9.944 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
9.944 * [taylor]: Taking taylor expansion of 1/2 in k
9.944 * [backup-simplify]: Simplify 1/2 into 1/2
9.944 * [taylor]: Taking taylor expansion of k in k
9.944 * [backup-simplify]: Simplify 0 into 0
9.944 * [backup-simplify]: Simplify 1 into 1
9.944 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
9.944 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
9.944 * [taylor]: Taking taylor expansion of 2 in k
9.944 * [backup-simplify]: Simplify 2 into 2
9.944 * [taylor]: Taking taylor expansion of (* n PI) in k
9.944 * [taylor]: Taking taylor expansion of n in k
9.944 * [backup-simplify]: Simplify n into n
9.944 * [taylor]: Taking taylor expansion of PI in k
9.944 * [backup-simplify]: Simplify PI into PI
9.944 * [backup-simplify]: Simplify (* n PI) into (* n PI)
9.944 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
9.944 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
9.945 * [backup-simplify]: Simplify (* 1/2 0) into 0
9.945 * [backup-simplify]: Simplify (- 0) into 0
9.945 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
9.945 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
9.945 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
9.945 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
9.945 * [taylor]: Taking taylor expansion of (sqrt k) in k
9.946 * [taylor]: Taking taylor expansion of k in k
9.946 * [backup-simplify]: Simplify 0 into 0
9.946 * [backup-simplify]: Simplify 1 into 1
9.946 * [backup-simplify]: Simplify (sqrt 0) into 0
9.947 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.947 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
9.947 * [taylor]: Taking taylor expansion of 0 in n
9.947 * [backup-simplify]: Simplify 0 into 0
9.947 * [backup-simplify]: Simplify 0 into 0
9.947 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
9.947 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
9.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
9.948 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
9.949 * [backup-simplify]: Simplify (- 1/2) into -1/2
9.949 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
9.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
9.949 * [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)))))
9.950 * [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)))))
9.951 * [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))))
9.951 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
9.951 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
9.951 * [taylor]: Taking taylor expansion of +nan.0 in n
9.951 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.951 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
9.951 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
9.951 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
9.951 * [taylor]: Taking taylor expansion of (* n PI) in n
9.951 * [taylor]: Taking taylor expansion of n in n
9.951 * [backup-simplify]: Simplify 0 into 0
9.951 * [backup-simplify]: Simplify 1 into 1
9.951 * [taylor]: Taking taylor expansion of PI in n
9.951 * [backup-simplify]: Simplify PI into PI
9.951 * [backup-simplify]: Simplify (* 0 PI) into 0
9.952 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.953 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
9.953 * [backup-simplify]: Simplify (sqrt 0) into 0
9.954 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
9.954 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
9.954 * [taylor]: Taking taylor expansion of 1/2 in n
9.954 * [backup-simplify]: Simplify 1/2 into 1/2
9.954 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
9.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
9.957 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
9.957 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
9.960 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
9.964 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
9.967 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
9.967 * [backup-simplify]: Simplify 0 into 0
9.970 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.971 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
9.972 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
9.974 * [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
9.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
9.975 * [backup-simplify]: Simplify (- 0) into 0
9.976 * [backup-simplify]: Simplify (+ 0 0) into 0
9.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
9.978 * [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)))
9.981 * [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))))))
9.986 * [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))))))
9.986 * [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
9.987 * [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
9.987 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
9.987 * [taylor]: Taking taylor expansion of +nan.0 in n
9.987 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.987 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
9.987 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
9.987 * [taylor]: Taking taylor expansion of (sqrt 2) in n
9.987 * [taylor]: Taking taylor expansion of 2 in n
9.987 * [backup-simplify]: Simplify 2 into 2
9.987 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
9.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
9.988 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
9.988 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.988 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.988 * [taylor]: Taking taylor expansion of 2 in n
9.988 * [backup-simplify]: Simplify 2 into 2
9.988 * [taylor]: Taking taylor expansion of (* n PI) in n
9.988 * [taylor]: Taking taylor expansion of n in n
9.988 * [backup-simplify]: Simplify 0 into 0
9.988 * [backup-simplify]: Simplify 1 into 1
9.988 * [taylor]: Taking taylor expansion of PI in n
9.988 * [backup-simplify]: Simplify PI into PI
9.989 * [backup-simplify]: Simplify (* 0 PI) into 0
9.989 * [backup-simplify]: Simplify (* 2 0) into 0
9.991 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.992 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.993 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.993 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
9.993 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
9.993 * [taylor]: Taking taylor expansion of 1/2 in n
9.993 * [backup-simplify]: Simplify 1/2 into 1/2
9.994 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
9.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
9.995 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
9.995 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
9.995 * [taylor]: Taking taylor expansion of (* n PI) in n
9.995 * [taylor]: Taking taylor expansion of n in n
9.995 * [backup-simplify]: Simplify 0 into 0
9.995 * [backup-simplify]: Simplify 1 into 1
9.995 * [taylor]: Taking taylor expansion of PI in n
9.995 * [backup-simplify]: Simplify PI into PI
9.995 * [backup-simplify]: Simplify (* 0 PI) into 0
9.997 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.997 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
9.998 * [backup-simplify]: Simplify (sqrt 0) into 0
10.000 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
10.000 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
10.000 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
10.000 * [taylor]: Taking taylor expansion of +nan.0 in n
10.000 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.000 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
10.000 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
10.000 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
10.000 * [taylor]: Taking taylor expansion of (* n PI) in n
10.000 * [taylor]: Taking taylor expansion of n in n
10.000 * [backup-simplify]: Simplify 0 into 0
10.000 * [backup-simplify]: Simplify 1 into 1
10.000 * [taylor]: Taking taylor expansion of PI in n
10.000 * [backup-simplify]: Simplify PI into PI
10.001 * [backup-simplify]: Simplify (* 0 PI) into 0
10.002 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.003 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
10.003 * [backup-simplify]: Simplify (sqrt 0) into 0
10.005 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
10.005 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
10.005 * [taylor]: Taking taylor expansion of 1/2 in n
10.005 * [backup-simplify]: Simplify 1/2 into 1/2
10.005 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.008 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.009 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
10.011 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
10.013 * [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)))))
10.014 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.015 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
10.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
10.017 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
10.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.019 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
10.021 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
10.023 * [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)))))
10.025 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
10.032 * [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)))))
10.037 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
10.038 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
10.041 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
10.043 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
10.053 * [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)))))))
10.074 * [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)))))))
10.088 * [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)))))))
10.089 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
10.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
10.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
10.093 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
10.097 * [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))))
10.102 * [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))))
10.105 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
10.107 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
10.130 * [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)))))))))))
10.130 * [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)))
10.130 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
10.130 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
10.130 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.130 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.130 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.130 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.130 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.130 * [taylor]: Taking taylor expansion of 1/2 in n
10.130 * [backup-simplify]: Simplify 1/2 into 1/2
10.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.130 * [taylor]: Taking taylor expansion of 1/2 in n
10.130 * [backup-simplify]: Simplify 1/2 into 1/2
10.130 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.130 * [taylor]: Taking taylor expansion of k in n
10.130 * [backup-simplify]: Simplify k into k
10.130 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.130 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.130 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.131 * [taylor]: Taking taylor expansion of 2 in n
10.131 * [backup-simplify]: Simplify 2 into 2
10.131 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.131 * [taylor]: Taking taylor expansion of PI in n
10.131 * [backup-simplify]: Simplify PI into PI
10.131 * [taylor]: Taking taylor expansion of n in n
10.131 * [backup-simplify]: Simplify 0 into 0
10.131 * [backup-simplify]: Simplify 1 into 1
10.131 * [backup-simplify]: Simplify (/ PI 1) into PI
10.132 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.133 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.133 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.133 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.133 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.135 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.136 * [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)))
10.137 * [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))))
10.139 * [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)))))
10.139 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
10.139 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 k) into (/ 1 k)
10.139 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
10.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
10.139 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
10.139 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
10.139 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
10.139 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
10.139 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
10.139 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.139 * [taylor]: Taking taylor expansion of 1/2 in k
10.139 * [backup-simplify]: Simplify 1/2 into 1/2
10.139 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.139 * [taylor]: Taking taylor expansion of 1/2 in k
10.139 * [backup-simplify]: Simplify 1/2 into 1/2
10.139 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.139 * [taylor]: Taking taylor expansion of k in k
10.139 * [backup-simplify]: Simplify 0 into 0
10.139 * [backup-simplify]: Simplify 1 into 1
10.140 * [backup-simplify]: Simplify (/ 1 1) into 1
10.140 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
10.140 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
10.140 * [taylor]: Taking taylor expansion of 2 in k
10.140 * [backup-simplify]: Simplify 2 into 2
10.140 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.140 * [taylor]: Taking taylor expansion of PI in k
10.140 * [backup-simplify]: Simplify PI into PI
10.140 * [taylor]: Taking taylor expansion of n in k
10.140 * [backup-simplify]: Simplify n into n
10.140 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.140 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
10.140 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
10.141 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.141 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.142 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.142 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
10.142 * [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))))
10.142 * [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)))))
10.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
10.142 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.142 * [taylor]: Taking taylor expansion of k in k
10.142 * [backup-simplify]: Simplify 0 into 0
10.142 * [backup-simplify]: Simplify 1 into 1
10.142 * [backup-simplify]: Simplify (/ 1 1) into 1
10.143 * [backup-simplify]: Simplify (sqrt 0) into 0
10.143 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.143 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
10.143 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
10.143 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
10.143 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
10.144 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
10.144 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.144 * [taylor]: Taking taylor expansion of 1/2 in k
10.144 * [backup-simplify]: Simplify 1/2 into 1/2
10.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.144 * [taylor]: Taking taylor expansion of 1/2 in k
10.144 * [backup-simplify]: Simplify 1/2 into 1/2
10.144 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.144 * [taylor]: Taking taylor expansion of k in k
10.144 * [backup-simplify]: Simplify 0 into 0
10.144 * [backup-simplify]: Simplify 1 into 1
10.144 * [backup-simplify]: Simplify (/ 1 1) into 1
10.144 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
10.144 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
10.144 * [taylor]: Taking taylor expansion of 2 in k
10.144 * [backup-simplify]: Simplify 2 into 2
10.144 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.144 * [taylor]: Taking taylor expansion of PI in k
10.144 * [backup-simplify]: Simplify PI into PI
10.144 * [taylor]: Taking taylor expansion of n in k
10.144 * [backup-simplify]: Simplify n into n
10.144 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.144 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
10.144 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
10.147 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.147 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.148 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.148 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
10.148 * [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))))
10.148 * [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)))))
10.148 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
10.148 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.148 * [taylor]: Taking taylor expansion of k in k
10.148 * [backup-simplify]: Simplify 0 into 0
10.148 * [backup-simplify]: Simplify 1 into 1
10.148 * [backup-simplify]: Simplify (/ 1 1) into 1
10.149 * [backup-simplify]: Simplify (sqrt 0) into 0
10.150 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.150 * [backup-simplify]: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
10.150 * [taylor]: Taking taylor expansion of 0 in n
10.150 * [backup-simplify]: Simplify 0 into 0
10.150 * [backup-simplify]: Simplify 0 into 0
10.150 * [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
10.150 * [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)))))))
10.150 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
10.150 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
10.150 * [taylor]: Taking taylor expansion of +nan.0 in n
10.151 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.151 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.151 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.151 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.151 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.151 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.151 * [taylor]: Taking taylor expansion of 1/2 in n
10.151 * [backup-simplify]: Simplify 1/2 into 1/2
10.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.151 * [taylor]: Taking taylor expansion of 1/2 in n
10.151 * [backup-simplify]: Simplify 1/2 into 1/2
10.151 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.151 * [taylor]: Taking taylor expansion of k in n
10.151 * [backup-simplify]: Simplify k into k
10.151 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.151 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.151 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.151 * [taylor]: Taking taylor expansion of 2 in n
10.151 * [backup-simplify]: Simplify 2 into 2
10.151 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.151 * [taylor]: Taking taylor expansion of PI in n
10.151 * [backup-simplify]: Simplify PI into PI
10.151 * [taylor]: Taking taylor expansion of n in n
10.151 * [backup-simplify]: Simplify 0 into 0
10.151 * [backup-simplify]: Simplify 1 into 1
10.151 * [backup-simplify]: Simplify (/ PI 1) into PI
10.152 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.152 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.152 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.152 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.152 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.153 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.154 * [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)))
10.155 * [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))))
10.155 * [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)))))
10.156 * [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)))))
10.157 * [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)))))))
10.158 * [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)))))))
10.158 * [backup-simplify]: Simplify 0 into 0
10.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.160 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.160 * [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
10.161 * [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)))))))
10.161 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
10.161 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
10.161 * [taylor]: Taking taylor expansion of +nan.0 in n
10.161 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.161 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.161 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.161 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.161 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.161 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.161 * [taylor]: Taking taylor expansion of 1/2 in n
10.161 * [backup-simplify]: Simplify 1/2 into 1/2
10.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.161 * [taylor]: Taking taylor expansion of 1/2 in n
10.161 * [backup-simplify]: Simplify 1/2 into 1/2
10.161 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.161 * [taylor]: Taking taylor expansion of k in n
10.161 * [backup-simplify]: Simplify k into k
10.161 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.161 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.161 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.161 * [taylor]: Taking taylor expansion of 2 in n
10.161 * [backup-simplify]: Simplify 2 into 2
10.161 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.161 * [taylor]: Taking taylor expansion of PI in n
10.161 * [backup-simplify]: Simplify PI into PI
10.161 * [taylor]: Taking taylor expansion of n in n
10.161 * [backup-simplify]: Simplify 0 into 0
10.161 * [backup-simplify]: Simplify 1 into 1
10.162 * [backup-simplify]: Simplify (/ PI 1) into PI
10.162 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.163 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.163 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.163 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.163 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.164 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.164 * [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)))
10.165 * [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))))
10.166 * [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)))))
10.166 * [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)))))
10.167 * [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)))))))
10.168 * [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)))))))
10.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.169 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.171 * [backup-simplify]: Simplify (- 0) into 0
10.171 * [backup-simplify]: Simplify (+ 0 0) into 0
10.172 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.173 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
10.174 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.176 * [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
10.178 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
10.178 * [backup-simplify]: Simplify (- 0) into 0
10.178 * [backup-simplify]: Simplify 0 into 0
10.178 * [backup-simplify]: Simplify 0 into 0
10.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.184 * [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
10.185 * [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)))))))
10.185 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
10.185 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
10.185 * [taylor]: Taking taylor expansion of +nan.0 in n
10.185 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.185 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.185 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.185 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.185 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.185 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.185 * [taylor]: Taking taylor expansion of 1/2 in n
10.185 * [backup-simplify]: Simplify 1/2 into 1/2
10.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.185 * [taylor]: Taking taylor expansion of 1/2 in n
10.185 * [backup-simplify]: Simplify 1/2 into 1/2
10.185 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.185 * [taylor]: Taking taylor expansion of k in n
10.185 * [backup-simplify]: Simplify k into k
10.185 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.186 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.186 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.186 * [taylor]: Taking taylor expansion of 2 in n
10.186 * [backup-simplify]: Simplify 2 into 2
10.186 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.186 * [taylor]: Taking taylor expansion of PI in n
10.186 * [backup-simplify]: Simplify PI into PI
10.186 * [taylor]: Taking taylor expansion of n in n
10.186 * [backup-simplify]: Simplify 0 into 0
10.186 * [backup-simplify]: Simplify 1 into 1
10.186 * [backup-simplify]: Simplify (/ PI 1) into PI
10.187 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.188 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.188 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.188 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.188 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.189 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.191 * [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)))
10.192 * [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))))
10.193 * [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)))))
10.195 * [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)))))
10.197 * [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)))))))
10.198 * [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)))))))
10.202 * [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))))))))))))
10.203 * [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)))
10.203 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
10.203 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
10.203 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
10.203 * [taylor]: Taking taylor expansion of (/ -1 k) in n
10.203 * [taylor]: Taking taylor expansion of -1 in n
10.203 * [backup-simplify]: Simplify -1 into -1
10.203 * [taylor]: Taking taylor expansion of k in n
10.203 * [backup-simplify]: Simplify k into k
10.203 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
10.203 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
10.203 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
10.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
10.203 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.203 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
10.203 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
10.203 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.203 * [taylor]: Taking taylor expansion of 1/2 in n
10.203 * [backup-simplify]: Simplify 1/2 into 1/2
10.204 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.204 * [taylor]: Taking taylor expansion of k in n
10.204 * [backup-simplify]: Simplify k into k
10.204 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.204 * [taylor]: Taking taylor expansion of 1/2 in n
10.204 * [backup-simplify]: Simplify 1/2 into 1/2
10.204 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.204 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.204 * [taylor]: Taking taylor expansion of -2 in n
10.204 * [backup-simplify]: Simplify -2 into -2
10.204 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.204 * [taylor]: Taking taylor expansion of PI in n
10.204 * [backup-simplify]: Simplify PI into PI
10.204 * [taylor]: Taking taylor expansion of n in n
10.204 * [backup-simplify]: Simplify 0 into 0
10.204 * [backup-simplify]: Simplify 1 into 1
10.204 * [backup-simplify]: Simplify (/ PI 1) into PI
10.205 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.206 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.206 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.206 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.208 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.209 * [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)))
10.210 * [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))))
10.211 * [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)))))
10.211 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
10.211 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
10.211 * [taylor]: Taking taylor expansion of (/ -1 k) in k
10.211 * [taylor]: Taking taylor expansion of -1 in k
10.211 * [backup-simplify]: Simplify -1 into -1
10.211 * [taylor]: Taking taylor expansion of k in k
10.211 * [backup-simplify]: Simplify 0 into 0
10.211 * [backup-simplify]: Simplify 1 into 1
10.212 * [backup-simplify]: Simplify (/ -1 1) into -1
10.212 * [backup-simplify]: Simplify (sqrt 0) into 0
10.214 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
10.214 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.214 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
10.214 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
10.214 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.214 * [taylor]: Taking taylor expansion of 1/2 in k
10.214 * [backup-simplify]: Simplify 1/2 into 1/2
10.214 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.214 * [taylor]: Taking taylor expansion of k in k
10.214 * [backup-simplify]: Simplify 0 into 0
10.214 * [backup-simplify]: Simplify 1 into 1
10.214 * [backup-simplify]: Simplify (/ 1 1) into 1
10.214 * [taylor]: Taking taylor expansion of 1/2 in k
10.214 * [backup-simplify]: Simplify 1/2 into 1/2
10.214 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
10.214 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
10.214 * [taylor]: Taking taylor expansion of -2 in k
10.214 * [backup-simplify]: Simplify -2 into -2
10.214 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.214 * [taylor]: Taking taylor expansion of PI in k
10.214 * [backup-simplify]: Simplify PI into PI
10.214 * [taylor]: Taking taylor expansion of n in k
10.214 * [backup-simplify]: Simplify n into n
10.215 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.215 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
10.215 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
10.215 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.216 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.216 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
10.216 * [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)))
10.216 * [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))))
10.216 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
10.216 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
10.216 * [taylor]: Taking taylor expansion of (/ -1 k) in k
10.216 * [taylor]: Taking taylor expansion of -1 in k
10.216 * [backup-simplify]: Simplify -1 into -1
10.216 * [taylor]: Taking taylor expansion of k in k
10.216 * [backup-simplify]: Simplify 0 into 0
10.216 * [backup-simplify]: Simplify 1 into 1
10.217 * [backup-simplify]: Simplify (/ -1 1) into -1
10.217 * [backup-simplify]: Simplify (sqrt 0) into 0
10.218 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
10.219 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.219 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
10.219 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
10.219 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.219 * [taylor]: Taking taylor expansion of 1/2 in k
10.219 * [backup-simplify]: Simplify 1/2 into 1/2
10.219 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.219 * [taylor]: Taking taylor expansion of k in k
10.219 * [backup-simplify]: Simplify 0 into 0
10.219 * [backup-simplify]: Simplify 1 into 1
10.219 * [backup-simplify]: Simplify (/ 1 1) into 1
10.219 * [taylor]: Taking taylor expansion of 1/2 in k
10.219 * [backup-simplify]: Simplify 1/2 into 1/2
10.219 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
10.219 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
10.219 * [taylor]: Taking taylor expansion of -2 in k
10.219 * [backup-simplify]: Simplify -2 into -2
10.219 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.219 * [taylor]: Taking taylor expansion of PI in k
10.219 * [backup-simplify]: Simplify PI into PI
10.220 * [taylor]: Taking taylor expansion of n in k
10.220 * [backup-simplify]: Simplify n into n
10.220 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.220 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
10.220 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
10.220 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.221 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.221 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
10.221 * [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)))
10.221 * [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))))
10.221 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
10.221 * [taylor]: Taking taylor expansion of +nan.0 in n
10.221 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.221 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
10.221 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.221 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.222 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.222 * [taylor]: Taking taylor expansion of -2 in n
10.222 * [backup-simplify]: Simplify -2 into -2
10.222 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.222 * [taylor]: Taking taylor expansion of PI in n
10.222 * [backup-simplify]: Simplify PI into PI
10.222 * [taylor]: Taking taylor expansion of n in n
10.222 * [backup-simplify]: Simplify 0 into 0
10.222 * [backup-simplify]: Simplify 1 into 1
10.222 * [backup-simplify]: Simplify (/ PI 1) into PI
10.223 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.224 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.224 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.224 * [taylor]: Taking taylor expansion of 1/2 in n
10.224 * [backup-simplify]: Simplify 1/2 into 1/2
10.224 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.224 * [taylor]: Taking taylor expansion of k in n
10.224 * [backup-simplify]: Simplify k into k
10.224 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.224 * [taylor]: Taking taylor expansion of 1/2 in n
10.224 * [backup-simplify]: Simplify 1/2 into 1/2
10.226 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.226 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.226 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.227 * [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)))
10.228 * [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))))
10.229 * [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)))))
10.231 * [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)))))
10.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.234 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.235 * [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))))))
10.235 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
10.235 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
10.235 * [taylor]: Taking taylor expansion of +nan.0 in n
10.235 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.235 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
10.235 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
10.235 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.235 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.235 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.235 * [taylor]: Taking taylor expansion of -2 in n
10.235 * [backup-simplify]: Simplify -2 into -2
10.235 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.236 * [taylor]: Taking taylor expansion of PI in n
10.236 * [backup-simplify]: Simplify PI into PI
10.236 * [taylor]: Taking taylor expansion of n in n
10.236 * [backup-simplify]: Simplify 0 into 0
10.236 * [backup-simplify]: Simplify 1 into 1
10.236 * [backup-simplify]: Simplify (/ PI 1) into PI
10.237 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.238 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.238 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.238 * [taylor]: Taking taylor expansion of 1/2 in n
10.238 * [backup-simplify]: Simplify 1/2 into 1/2
10.238 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.238 * [taylor]: Taking taylor expansion of k in n
10.238 * [backup-simplify]: Simplify k into k
10.238 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.238 * [taylor]: Taking taylor expansion of 1/2 in n
10.238 * [backup-simplify]: Simplify 1/2 into 1/2
10.239 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.239 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.239 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.241 * [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)))
10.242 * [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))))
10.243 * [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)))))
10.244 * [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)))))
10.246 * [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)))))))
10.247 * [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)))))))
10.248 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.249 * [backup-simplify]: Simplify (+ 0 0) into 0
10.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.251 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
10.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
10.254 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
10.257 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.260 * [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
10.260 * [backup-simplify]: Simplify 0 into 0
10.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.267 * [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))))))
10.267 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
10.267 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
10.267 * [taylor]: Taking taylor expansion of +nan.0 in n
10.267 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.267 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
10.267 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
10.267 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.267 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.267 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.267 * [taylor]: Taking taylor expansion of -2 in n
10.267 * [backup-simplify]: Simplify -2 into -2
10.267 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.267 * [taylor]: Taking taylor expansion of PI in n
10.267 * [backup-simplify]: Simplify PI into PI
10.267 * [taylor]: Taking taylor expansion of n in n
10.267 * [backup-simplify]: Simplify 0 into 0
10.267 * [backup-simplify]: Simplify 1 into 1
10.268 * [backup-simplify]: Simplify (/ PI 1) into PI
10.269 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.270 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.270 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.270 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.270 * [taylor]: Taking taylor expansion of 1/2 in n
10.270 * [backup-simplify]: Simplify 1/2 into 1/2
10.270 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.270 * [taylor]: Taking taylor expansion of k in n
10.270 * [backup-simplify]: Simplify k into k
10.270 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.270 * [taylor]: Taking taylor expansion of 1/2 in n
10.270 * [backup-simplify]: Simplify 1/2 into 1/2
10.272 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.272 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.272 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.278 * [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)))
10.279 * [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))))
10.280 * [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)))))
10.282 * [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)))))
10.283 * [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)))))))
10.283 * [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)))))))
10.286 * [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))))))))))))
10.286 * * * * [progress]: [ 4 / 4 ] generating series at (2)
10.286 * [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))))
10.286 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0
10.286 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
10.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
10.286 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.286 * [taylor]: Taking taylor expansion of k in n
10.286 * [backup-simplify]: Simplify k into k
10.286 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.286 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
10.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
10.287 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
10.287 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
10.287 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
10.287 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.287 * [taylor]: Taking taylor expansion of 1/2 in n
10.287 * [backup-simplify]: Simplify 1/2 into 1/2
10.287 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.287 * [taylor]: Taking taylor expansion of 1/2 in n
10.287 * [backup-simplify]: Simplify 1/2 into 1/2
10.287 * [taylor]: Taking taylor expansion of k in n
10.287 * [backup-simplify]: Simplify k into k
10.287 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.287 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.287 * [taylor]: Taking taylor expansion of 2 in n
10.287 * [backup-simplify]: Simplify 2 into 2
10.287 * [taylor]: Taking taylor expansion of (* n PI) in n
10.287 * [taylor]: Taking taylor expansion of n in n
10.287 * [backup-simplify]: Simplify 0 into 0
10.287 * [backup-simplify]: Simplify 1 into 1
10.287 * [taylor]: Taking taylor expansion of PI in n
10.287 * [backup-simplify]: Simplify PI into PI
10.287 * [backup-simplify]: Simplify (* 0 PI) into 0
10.288 * [backup-simplify]: Simplify (* 2 0) into 0
10.288 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.289 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.290 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.290 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.290 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.290 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.291 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.292 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
10.293 * [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)))))
10.293 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
10.293 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
10.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.293 * [taylor]: Taking taylor expansion of k in k
10.293 * [backup-simplify]: Simplify 0 into 0
10.293 * [backup-simplify]: Simplify 1 into 1
10.293 * [backup-simplify]: Simplify (/ 1 1) into 1
10.293 * [backup-simplify]: Simplify (sqrt 0) into 0
10.294 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.294 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
10.294 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
10.294 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
10.294 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.294 * [taylor]: Taking taylor expansion of 1/2 in k
10.294 * [backup-simplify]: Simplify 1/2 into 1/2
10.294 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.294 * [taylor]: Taking taylor expansion of 1/2 in k
10.294 * [backup-simplify]: Simplify 1/2 into 1/2
10.294 * [taylor]: Taking taylor expansion of k in k
10.294 * [backup-simplify]: Simplify 0 into 0
10.294 * [backup-simplify]: Simplify 1 into 1
10.294 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
10.294 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
10.294 * [taylor]: Taking taylor expansion of 2 in k
10.294 * [backup-simplify]: Simplify 2 into 2
10.294 * [taylor]: Taking taylor expansion of (* n PI) in k
10.294 * [taylor]: Taking taylor expansion of n in k
10.294 * [backup-simplify]: Simplify n into n
10.294 * [taylor]: Taking taylor expansion of PI in k
10.294 * [backup-simplify]: Simplify PI into PI
10.294 * [backup-simplify]: Simplify (* n PI) into (* n PI)
10.294 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
10.294 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
10.295 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.295 * [backup-simplify]: Simplify (- 0) into 0
10.295 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.295 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
10.295 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
10.295 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
10.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
10.295 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.295 * [taylor]: Taking taylor expansion of k in k
10.295 * [backup-simplify]: Simplify 0 into 0
10.295 * [backup-simplify]: Simplify 1 into 1
10.296 * [backup-simplify]: Simplify (/ 1 1) into 1
10.296 * [backup-simplify]: Simplify (sqrt 0) into 0
10.297 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.297 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
10.297 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
10.297 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
10.297 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.297 * [taylor]: Taking taylor expansion of 1/2 in k
10.297 * [backup-simplify]: Simplify 1/2 into 1/2
10.297 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.297 * [taylor]: Taking taylor expansion of 1/2 in k
10.297 * [backup-simplify]: Simplify 1/2 into 1/2
10.297 * [taylor]: Taking taylor expansion of k in k
10.297 * [backup-simplify]: Simplify 0 into 0
10.297 * [backup-simplify]: Simplify 1 into 1
10.297 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
10.297 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
10.297 * [taylor]: Taking taylor expansion of 2 in k
10.297 * [backup-simplify]: Simplify 2 into 2
10.297 * [taylor]: Taking taylor expansion of (* n PI) in k
10.297 * [taylor]: Taking taylor expansion of n in k
10.297 * [backup-simplify]: Simplify n into n
10.297 * [taylor]: Taking taylor expansion of PI in k
10.297 * [backup-simplify]: Simplify PI into PI
10.297 * [backup-simplify]: Simplify (* n PI) into (* n PI)
10.297 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
10.297 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
10.297 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.298 * [backup-simplify]: Simplify (- 0) into 0
10.298 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.298 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
10.298 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
10.298 * [backup-simplify]: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0
10.298 * [taylor]: Taking taylor expansion of 0 in n
10.298 * [backup-simplify]: Simplify 0 into 0
10.298 * [backup-simplify]: Simplify 0 into 0
10.299 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
10.299 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
10.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
10.300 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.300 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.300 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
10.301 * [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)))))
10.301 * [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)))))
10.301 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
10.301 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
10.301 * [taylor]: Taking taylor expansion of +nan.0 in n
10.301 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.301 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
10.301 * [taylor]: Taking taylor expansion of (sqrt 2) in n
10.301 * [taylor]: Taking taylor expansion of 2 in n
10.301 * [backup-simplify]: Simplify 2 into 2
10.301 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
10.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
10.302 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
10.302 * [taylor]: Taking taylor expansion of (* n PI) in n
10.302 * [taylor]: Taking taylor expansion of n in n
10.302 * [backup-simplify]: Simplify 0 into 0
10.302 * [backup-simplify]: Simplify 1 into 1
10.302 * [taylor]: Taking taylor expansion of PI in n
10.302 * [backup-simplify]: Simplify PI into PI
10.302 * [backup-simplify]: Simplify (* 0 PI) into 0
10.303 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.304 * [backup-simplify]: Simplify (sqrt 0) into 0
10.305 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
10.305 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
10.305 * [backup-simplify]: Simplify (* +nan.0 0) into 0
10.306 * [backup-simplify]: Simplify (- 0) into 0
10.306 * [backup-simplify]: Simplify 0 into 0
10.306 * [backup-simplify]: Simplify 0 into 0
10.306 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
10.307 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
10.308 * [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
10.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.309 * [backup-simplify]: Simplify (- 0) into 0
10.309 * [backup-simplify]: Simplify (+ 0 0) into 0
10.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
10.310 * [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)))
10.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.313 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.313 * [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)))))))
10.313 * [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
10.313 * [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
10.313 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
10.313 * [taylor]: Taking taylor expansion of +nan.0 in n
10.313 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.313 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
10.313 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
10.313 * [taylor]: Taking taylor expansion of (sqrt 2) in n
10.313 * [taylor]: Taking taylor expansion of 2 in n
10.313 * [backup-simplify]: Simplify 2 into 2
10.313 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
10.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
10.314 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.314 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.314 * [taylor]: Taking taylor expansion of 2 in n
10.314 * [backup-simplify]: Simplify 2 into 2
10.314 * [taylor]: Taking taylor expansion of (* n PI) in n
10.314 * [taylor]: Taking taylor expansion of n in n
10.314 * [backup-simplify]: Simplify 0 into 0
10.314 * [backup-simplify]: Simplify 1 into 1
10.314 * [taylor]: Taking taylor expansion of PI in n
10.314 * [backup-simplify]: Simplify PI into PI
10.314 * [backup-simplify]: Simplify (* 0 PI) into 0
10.315 * [backup-simplify]: Simplify (* 2 0) into 0
10.315 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.316 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.317 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.317 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
10.317 * [taylor]: Taking taylor expansion of (* n PI) in n
10.317 * [taylor]: Taking taylor expansion of n in n
10.317 * [backup-simplify]: Simplify 0 into 0
10.317 * [backup-simplify]: Simplify 1 into 1
10.317 * [taylor]: Taking taylor expansion of PI in n
10.317 * [backup-simplify]: Simplify PI into PI
10.318 * [backup-simplify]: Simplify (* 0 PI) into 0
10.318 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.319 * [backup-simplify]: Simplify (sqrt 0) into 0
10.320 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
10.320 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
10.320 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
10.320 * [taylor]: Taking taylor expansion of +nan.0 in n
10.320 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.320 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
10.320 * [taylor]: Taking taylor expansion of (sqrt 2) in n
10.320 * [taylor]: Taking taylor expansion of 2 in n
10.320 * [backup-simplify]: Simplify 2 into 2
10.320 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
10.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
10.320 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
10.320 * [taylor]: Taking taylor expansion of (* n PI) in n
10.320 * [taylor]: Taking taylor expansion of n in n
10.320 * [backup-simplify]: Simplify 0 into 0
10.320 * [backup-simplify]: Simplify 1 into 1
10.320 * [taylor]: Taking taylor expansion of PI in n
10.320 * [backup-simplify]: Simplify PI into PI
10.321 * [backup-simplify]: Simplify (* 0 PI) into 0
10.322 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.322 * [backup-simplify]: Simplify (sqrt 0) into 0
10.323 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
10.324 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.325 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
10.326 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
10.326 * [backup-simplify]: Simplify (* +nan.0 0) into 0
10.326 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
10.326 * [backup-simplify]: Simplify (* +nan.0 0) into 0
10.327 * [backup-simplify]: Simplify (- 0) into 0
10.327 * [backup-simplify]: Simplify (+ 0 0) into 0
10.327 * [backup-simplify]: Simplify (- 0) into 0
10.327 * [backup-simplify]: Simplify 0 into 0
10.329 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
10.332 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
10.334 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
10.336 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
10.336 * [backup-simplify]: Simplify 0 into 0
10.337 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
10.337 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
10.339 * [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
10.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.340 * [backup-simplify]: Simplify (- 0) into 0
10.340 * [backup-simplify]: Simplify (+ 0 0) into 0
10.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
10.342 * [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)))
10.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.345 * [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)))))))))
10.345 * [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
10.346 * [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
10.346 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
10.346 * [taylor]: Taking taylor expansion of +nan.0 in n
10.346 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.346 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
10.346 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
10.346 * [taylor]: Taking taylor expansion of (sqrt 2) in n
10.346 * [taylor]: Taking taylor expansion of 2 in n
10.346 * [backup-simplify]: Simplify 2 into 2
10.346 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
10.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
10.346 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.346 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.346 * [taylor]: Taking taylor expansion of 2 in n
10.346 * [backup-simplify]: Simplify 2 into 2
10.346 * [taylor]: Taking taylor expansion of (* n PI) in n
10.346 * [taylor]: Taking taylor expansion of n in n
10.346 * [backup-simplify]: Simplify 0 into 0
10.346 * [backup-simplify]: Simplify 1 into 1
10.346 * [taylor]: Taking taylor expansion of PI in n
10.347 * [backup-simplify]: Simplify PI into PI
10.347 * [backup-simplify]: Simplify (* 0 PI) into 0
10.347 * [backup-simplify]: Simplify (* 2 0) into 0
10.348 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.349 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.350 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.350 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
10.350 * [taylor]: Taking taylor expansion of (* n PI) in n
10.350 * [taylor]: Taking taylor expansion of n in n
10.350 * [backup-simplify]: Simplify 0 into 0
10.350 * [backup-simplify]: Simplify 1 into 1
10.350 * [taylor]: Taking taylor expansion of PI in n
10.350 * [backup-simplify]: Simplify PI into PI
10.350 * [backup-simplify]: Simplify (* 0 PI) into 0
10.351 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.351 * [backup-simplify]: Simplify (sqrt 0) into 0
10.352 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
10.352 * [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
10.352 * [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
10.352 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
10.352 * [taylor]: Taking taylor expansion of +nan.0 in n
10.352 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.352 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
10.352 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
10.352 * [taylor]: Taking taylor expansion of (sqrt 2) in n
10.352 * [taylor]: Taking taylor expansion of 2 in n
10.352 * [backup-simplify]: Simplify 2 into 2
10.352 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
10.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
10.353 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
10.353 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.353 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.353 * [taylor]: Taking taylor expansion of 2 in n
10.353 * [backup-simplify]: Simplify 2 into 2
10.353 * [taylor]: Taking taylor expansion of (* n PI) in n
10.353 * [taylor]: Taking taylor expansion of n in n
10.353 * [backup-simplify]: Simplify 0 into 0
10.353 * [backup-simplify]: Simplify 1 into 1
10.353 * [taylor]: Taking taylor expansion of PI in n
10.353 * [backup-simplify]: Simplify PI into PI
10.353 * [backup-simplify]: Simplify (* 0 PI) into 0
10.354 * [backup-simplify]: Simplify (* 2 0) into 0
10.355 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.356 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.356 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.357 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.357 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
10.357 * [taylor]: Taking taylor expansion of (* n PI) in n
10.357 * [taylor]: Taking taylor expansion of n in n
10.357 * [backup-simplify]: Simplify 0 into 0
10.357 * [backup-simplify]: Simplify 1 into 1
10.357 * [taylor]: Taking taylor expansion of PI in n
10.357 * [backup-simplify]: Simplify PI into PI
10.358 * [backup-simplify]: Simplify (* 0 PI) into 0
10.359 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.359 * [backup-simplify]: Simplify (sqrt 0) into 0
10.360 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
10.360 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
10.360 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
10.360 * [taylor]: Taking taylor expansion of +nan.0 in n
10.360 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.360 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
10.360 * [taylor]: Taking taylor expansion of (sqrt 2) in n
10.360 * [taylor]: Taking taylor expansion of 2 in n
10.360 * [backup-simplify]: Simplify 2 into 2
10.360 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
10.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
10.361 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
10.361 * [taylor]: Taking taylor expansion of (* n PI) in n
10.361 * [taylor]: Taking taylor expansion of n in n
10.361 * [backup-simplify]: Simplify 0 into 0
10.361 * [backup-simplify]: Simplify 1 into 1
10.361 * [taylor]: Taking taylor expansion of PI in n
10.361 * [backup-simplify]: Simplify PI into PI
10.361 * [backup-simplify]: Simplify (* 0 PI) into 0
10.362 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.363 * [backup-simplify]: Simplify (sqrt 0) into 0
10.364 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
10.365 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.371 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
10.372 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
10.373 * [backup-simplify]: Simplify (* +nan.0 0) into 0
10.374 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.376 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.378 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
10.380 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
10.381 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
10.382 * [backup-simplify]: Simplify (* +nan.0 0) into 0
10.382 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
10.383 * [backup-simplify]: Simplify (* +nan.0 0) into 0
10.383 * [backup-simplify]: Simplify (- 0) into 0
10.384 * [backup-simplify]: Simplify (+ 0 0) into 0
10.384 * [backup-simplify]: Simplify (- 0) into 0
10.384 * [backup-simplify]: Simplify (+ 0 0) into 0
10.385 * [backup-simplify]: Simplify (- 0) into 0
10.385 * [backup-simplify]: Simplify 0 into 0
10.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
10.387 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
10.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.390 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.392 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
10.394 * [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))))))))
10.401 * [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))))))))
10.404 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
10.410 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
10.414 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
10.419 * [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))))))))))
10.424 * [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)))))))
10.429 * [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)))))))
10.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
10.432 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
10.432 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
10.436 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
10.441 * [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))))
10.444 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
10.446 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
10.455 * [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)))))))))))))
10.456 * [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)))))
10.456 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0
10.456 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.456 * [taylor]: Taking taylor expansion of (sqrt k) in n
10.456 * [taylor]: Taking taylor expansion of k in n
10.456 * [backup-simplify]: Simplify k into k
10.456 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
10.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
10.456 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.456 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.456 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.456 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.456 * [taylor]: Taking taylor expansion of 1/2 in n
10.456 * [backup-simplify]: Simplify 1/2 into 1/2
10.456 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.456 * [taylor]: Taking taylor expansion of 1/2 in n
10.456 * [backup-simplify]: Simplify 1/2 into 1/2
10.456 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.456 * [taylor]: Taking taylor expansion of k in n
10.456 * [backup-simplify]: Simplify k into k
10.456 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.456 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.456 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.456 * [taylor]: Taking taylor expansion of 2 in n
10.456 * [backup-simplify]: Simplify 2 into 2
10.456 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.456 * [taylor]: Taking taylor expansion of PI in n
10.456 * [backup-simplify]: Simplify PI into PI
10.456 * [taylor]: Taking taylor expansion of n in n
10.456 * [backup-simplify]: Simplify 0 into 0
10.456 * [backup-simplify]: Simplify 1 into 1
10.457 * [backup-simplify]: Simplify (/ PI 1) into PI
10.457 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.458 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.458 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.458 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.458 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.459 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.459 * [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)))
10.460 * [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))))
10.460 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
10.460 * [taylor]: Taking taylor expansion of (sqrt k) in k
10.460 * [taylor]: Taking taylor expansion of k in k
10.460 * [backup-simplify]: Simplify 0 into 0
10.460 * [backup-simplify]: Simplify 1 into 1
10.461 * [backup-simplify]: Simplify (sqrt 0) into 0
10.461 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.461 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
10.461 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
10.461 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
10.461 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.461 * [taylor]: Taking taylor expansion of 1/2 in k
10.461 * [backup-simplify]: Simplify 1/2 into 1/2
10.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.461 * [taylor]: Taking taylor expansion of 1/2 in k
10.461 * [backup-simplify]: Simplify 1/2 into 1/2
10.461 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.462 * [taylor]: Taking taylor expansion of k in k
10.462 * [backup-simplify]: Simplify 0 into 0
10.462 * [backup-simplify]: Simplify 1 into 1
10.462 * [backup-simplify]: Simplify (/ 1 1) into 1
10.462 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
10.462 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
10.462 * [taylor]: Taking taylor expansion of 2 in k
10.462 * [backup-simplify]: Simplify 2 into 2
10.462 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.462 * [taylor]: Taking taylor expansion of PI in k
10.462 * [backup-simplify]: Simplify PI into PI
10.462 * [taylor]: Taking taylor expansion of n in k
10.462 * [backup-simplify]: Simplify n into n
10.462 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.462 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
10.462 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
10.462 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.463 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.463 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.463 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
10.463 * [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))))
10.463 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
10.463 * [taylor]: Taking taylor expansion of (sqrt k) in k
10.463 * [taylor]: Taking taylor expansion of k in k
10.463 * [backup-simplify]: Simplify 0 into 0
10.463 * [backup-simplify]: Simplify 1 into 1
10.463 * [backup-simplify]: Simplify (sqrt 0) into 0
10.464 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.464 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
10.464 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
10.464 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
10.464 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.464 * [taylor]: Taking taylor expansion of 1/2 in k
10.464 * [backup-simplify]: Simplify 1/2 into 1/2
10.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.464 * [taylor]: Taking taylor expansion of 1/2 in k
10.464 * [backup-simplify]: Simplify 1/2 into 1/2
10.464 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.464 * [taylor]: Taking taylor expansion of k in k
10.464 * [backup-simplify]: Simplify 0 into 0
10.464 * [backup-simplify]: Simplify 1 into 1
10.465 * [backup-simplify]: Simplify (/ 1 1) into 1
10.465 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
10.465 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
10.465 * [taylor]: Taking taylor expansion of 2 in k
10.465 * [backup-simplify]: Simplify 2 into 2
10.465 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.465 * [taylor]: Taking taylor expansion of PI in k
10.465 * [backup-simplify]: Simplify PI into PI
10.465 * [taylor]: Taking taylor expansion of n in k
10.465 * [backup-simplify]: Simplify n into n
10.465 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.465 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
10.465 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
10.465 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.465 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.466 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.466 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
10.466 * [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))))
10.466 * [backup-simplify]: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
10.467 * [taylor]: Taking taylor expansion of 0 in n
10.467 * [backup-simplify]: Simplify 0 into 0
10.467 * [backup-simplify]: Simplify 0 into 0
10.467 * [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))))))
10.467 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
10.467 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.467 * [taylor]: Taking taylor expansion of +nan.0 in n
10.467 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.467 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.467 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.467 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.467 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.467 * [taylor]: Taking taylor expansion of 1/2 in n
10.467 * [backup-simplify]: Simplify 1/2 into 1/2
10.468 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.468 * [taylor]: Taking taylor expansion of 1/2 in n
10.468 * [backup-simplify]: Simplify 1/2 into 1/2
10.468 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.468 * [taylor]: Taking taylor expansion of k in n
10.468 * [backup-simplify]: Simplify k into k
10.468 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.468 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.468 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.468 * [taylor]: Taking taylor expansion of 2 in n
10.468 * [backup-simplify]: Simplify 2 into 2
10.468 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.468 * [taylor]: Taking taylor expansion of PI in n
10.468 * [backup-simplify]: Simplify PI into PI
10.468 * [taylor]: Taking taylor expansion of n in n
10.468 * [backup-simplify]: Simplify 0 into 0
10.468 * [backup-simplify]: Simplify 1 into 1
10.468 * [backup-simplify]: Simplify (/ PI 1) into PI
10.469 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.470 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.470 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.470 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.470 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.472 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.473 * [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)))
10.474 * [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))))
10.480 * [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)))))
10.481 * [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))))))
10.482 * [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))))))
10.483 * [backup-simplify]: Simplify 0 into 0
10.486 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.487 * [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))))))
10.487 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
10.487 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.487 * [taylor]: Taking taylor expansion of +nan.0 in n
10.487 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.487 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.487 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.487 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.487 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.487 * [taylor]: Taking taylor expansion of 1/2 in n
10.487 * [backup-simplify]: Simplify 1/2 into 1/2
10.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.487 * [taylor]: Taking taylor expansion of 1/2 in n
10.487 * [backup-simplify]: Simplify 1/2 into 1/2
10.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.487 * [taylor]: Taking taylor expansion of k in n
10.487 * [backup-simplify]: Simplify k into k
10.487 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.487 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.487 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.487 * [taylor]: Taking taylor expansion of 2 in n
10.487 * [backup-simplify]: Simplify 2 into 2
10.487 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.487 * [taylor]: Taking taylor expansion of PI in n
10.487 * [backup-simplify]: Simplify PI into PI
10.487 * [taylor]: Taking taylor expansion of n in n
10.487 * [backup-simplify]: Simplify 0 into 0
10.487 * [backup-simplify]: Simplify 1 into 1
10.488 * [backup-simplify]: Simplify (/ PI 1) into PI
10.488 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.489 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.490 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.490 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.490 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.491 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.492 * [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)))
10.493 * [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))))
10.495 * [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)))))
10.496 * [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))))))
10.497 * [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))))))
10.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.499 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.502 * [backup-simplify]: Simplify (- 0) into 0
10.502 * [backup-simplify]: Simplify (+ 0 0) into 0
10.503 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.504 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
10.505 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.506 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
10.506 * [backup-simplify]: Simplify (- 0) into 0
10.506 * [backup-simplify]: Simplify 0 into 0
10.506 * [backup-simplify]: Simplify 0 into 0
10.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.509 * [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))))))
10.510 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
10.510 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.510 * [taylor]: Taking taylor expansion of +nan.0 in n
10.510 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.510 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.510 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.510 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.510 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.510 * [taylor]: Taking taylor expansion of 1/2 in n
10.510 * [backup-simplify]: Simplify 1/2 into 1/2
10.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.510 * [taylor]: Taking taylor expansion of 1/2 in n
10.510 * [backup-simplify]: Simplify 1/2 into 1/2
10.510 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.510 * [taylor]: Taking taylor expansion of k in n
10.510 * [backup-simplify]: Simplify k into k
10.510 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.510 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.510 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.510 * [taylor]: Taking taylor expansion of 2 in n
10.510 * [backup-simplify]: Simplify 2 into 2
10.510 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.510 * [taylor]: Taking taylor expansion of PI in n
10.510 * [backup-simplify]: Simplify PI into PI
10.510 * [taylor]: Taking taylor expansion of n in n
10.510 * [backup-simplify]: Simplify 0 into 0
10.510 * [backup-simplify]: Simplify 1 into 1
10.510 * [backup-simplify]: Simplify (/ PI 1) into PI
10.511 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.511 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.511 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.511 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.512 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.512 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.513 * [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)))
10.514 * [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))))
10.515 * [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)))))
10.516 * [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))))))
10.517 * [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))))))
10.519 * [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))))))))
10.520 * [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)))
10.520 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
10.520 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
10.520 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.520 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
10.520 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
10.520 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.520 * [taylor]: Taking taylor expansion of 1/2 in n
10.520 * [backup-simplify]: Simplify 1/2 into 1/2
10.520 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.520 * [taylor]: Taking taylor expansion of k in n
10.520 * [backup-simplify]: Simplify k into k
10.520 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.520 * [taylor]: Taking taylor expansion of 1/2 in n
10.520 * [backup-simplify]: Simplify 1/2 into 1/2
10.520 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.520 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.520 * [taylor]: Taking taylor expansion of -2 in n
10.520 * [backup-simplify]: Simplify -2 into -2
10.520 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.520 * [taylor]: Taking taylor expansion of PI in n
10.520 * [backup-simplify]: Simplify PI into PI
10.520 * [taylor]: Taking taylor expansion of n in n
10.520 * [backup-simplify]: Simplify 0 into 0
10.520 * [backup-simplify]: Simplify 1 into 1
10.520 * [backup-simplify]: Simplify (/ PI 1) into PI
10.521 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.521 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.521 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.521 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.522 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.523 * [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)))
10.524 * [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))))
10.524 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
10.524 * [taylor]: Taking taylor expansion of (/ -1 k) in n
10.524 * [taylor]: Taking taylor expansion of -1 in n
10.524 * [backup-simplify]: Simplify -1 into -1
10.524 * [taylor]: Taking taylor expansion of k in n
10.524 * [backup-simplify]: Simplify k into k
10.524 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
10.524 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
10.524 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
10.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
10.525 * [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)))
10.525 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
10.525 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.525 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
10.525 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
10.525 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.525 * [taylor]: Taking taylor expansion of 1/2 in k
10.525 * [backup-simplify]: Simplify 1/2 into 1/2
10.525 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.525 * [taylor]: Taking taylor expansion of k in k
10.525 * [backup-simplify]: Simplify 0 into 0
10.525 * [backup-simplify]: Simplify 1 into 1
10.525 * [backup-simplify]: Simplify (/ 1 1) into 1
10.525 * [taylor]: Taking taylor expansion of 1/2 in k
10.525 * [backup-simplify]: Simplify 1/2 into 1/2
10.525 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
10.525 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
10.525 * [taylor]: Taking taylor expansion of -2 in k
10.525 * [backup-simplify]: Simplify -2 into -2
10.525 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.525 * [taylor]: Taking taylor expansion of PI in k
10.525 * [backup-simplify]: Simplify PI into PI
10.525 * [taylor]: Taking taylor expansion of n in k
10.526 * [backup-simplify]: Simplify n into n
10.526 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.526 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
10.526 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
10.526 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.526 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.526 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
10.526 * [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)))
10.526 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
10.526 * [taylor]: Taking taylor expansion of (/ -1 k) in k
10.526 * [taylor]: Taking taylor expansion of -1 in k
10.526 * [backup-simplify]: Simplify -1 into -1
10.526 * [taylor]: Taking taylor expansion of k in k
10.526 * [backup-simplify]: Simplify 0 into 0
10.527 * [backup-simplify]: Simplify 1 into 1
10.527 * [backup-simplify]: Simplify (/ -1 1) into -1
10.527 * [backup-simplify]: Simplify (sqrt 0) into 0
10.528 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
10.528 * [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))))
10.528 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
10.528 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.528 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
10.528 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
10.528 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.528 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.528 * [taylor]: Taking taylor expansion of 1/2 in k
10.528 * [backup-simplify]: Simplify 1/2 into 1/2
10.528 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.528 * [taylor]: Taking taylor expansion of k in k
10.528 * [backup-simplify]: Simplify 0 into 0
10.528 * [backup-simplify]: Simplify 1 into 1
10.529 * [backup-simplify]: Simplify (/ 1 1) into 1
10.529 * [taylor]: Taking taylor expansion of 1/2 in k
10.529 * [backup-simplify]: Simplify 1/2 into 1/2
10.529 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
10.529 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
10.529 * [taylor]: Taking taylor expansion of -2 in k
10.529 * [backup-simplify]: Simplify -2 into -2
10.529 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.529 * [taylor]: Taking taylor expansion of PI in k
10.529 * [backup-simplify]: Simplify PI into PI
10.529 * [taylor]: Taking taylor expansion of n in k
10.529 * [backup-simplify]: Simplify n into n
10.529 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.529 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
10.529 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
10.529 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.529 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.530 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
10.530 * [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)))
10.530 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
10.530 * [taylor]: Taking taylor expansion of (/ -1 k) in k
10.530 * [taylor]: Taking taylor expansion of -1 in k
10.530 * [backup-simplify]: Simplify -1 into -1
10.530 * [taylor]: Taking taylor expansion of k in k
10.530 * [backup-simplify]: Simplify 0 into 0
10.530 * [backup-simplify]: Simplify 1 into 1
10.530 * [backup-simplify]: Simplify (/ -1 1) into -1
10.530 * [backup-simplify]: Simplify (sqrt 0) into 0
10.531 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
10.531 * [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))))
10.531 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
10.531 * [taylor]: Taking taylor expansion of +nan.0 in n
10.531 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.531 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
10.531 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.531 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.531 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.531 * [taylor]: Taking taylor expansion of -2 in n
10.531 * [backup-simplify]: Simplify -2 into -2
10.531 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.531 * [taylor]: Taking taylor expansion of PI in n
10.531 * [backup-simplify]: Simplify PI into PI
10.531 * [taylor]: Taking taylor expansion of n in n
10.532 * [backup-simplify]: Simplify 0 into 0
10.532 * [backup-simplify]: Simplify 1 into 1
10.532 * [backup-simplify]: Simplify (/ PI 1) into PI
10.532 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.533 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.533 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.533 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.533 * [taylor]: Taking taylor expansion of 1/2 in n
10.533 * [backup-simplify]: Simplify 1/2 into 1/2
10.533 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.533 * [taylor]: Taking taylor expansion of k in n
10.533 * [backup-simplify]: Simplify k into k
10.533 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.533 * [taylor]: Taking taylor expansion of 1/2 in n
10.533 * [backup-simplify]: Simplify 1/2 into 1/2
10.534 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.534 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.534 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.535 * [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)))
10.537 * [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))))
10.538 * [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)))))
10.539 * [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)))))
10.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.543 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.544 * [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)))))
10.544 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
10.545 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
10.545 * [taylor]: Taking taylor expansion of +nan.0 in n
10.545 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.545 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
10.545 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.545 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.545 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.545 * [taylor]: Taking taylor expansion of -2 in n
10.545 * [backup-simplify]: Simplify -2 into -2
10.545 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.545 * [taylor]: Taking taylor expansion of PI in n
10.545 * [backup-simplify]: Simplify PI into PI
10.545 * [taylor]: Taking taylor expansion of n in n
10.545 * [backup-simplify]: Simplify 0 into 0
10.545 * [backup-simplify]: Simplify 1 into 1
10.546 * [backup-simplify]: Simplify (/ PI 1) into PI
10.546 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.547 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.547 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.547 * [taylor]: Taking taylor expansion of 1/2 in n
10.547 * [backup-simplify]: Simplify 1/2 into 1/2
10.547 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.547 * [taylor]: Taking taylor expansion of k in n
10.547 * [backup-simplify]: Simplify k into k
10.547 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.547 * [taylor]: Taking taylor expansion of 1/2 in n
10.547 * [backup-simplify]: Simplify 1/2 into 1/2
10.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.549 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.549 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.550 * [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)))
10.552 * [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))))
10.553 * [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)))))
10.554 * [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))))))
10.555 * [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))))))
10.556 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.556 * [backup-simplify]: Simplify (+ 0 0) into 0
10.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.558 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
10.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
10.559 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
10.561 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.562 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
10.562 * [backup-simplify]: Simplify 0 into 0
10.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.566 * [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)))))
10.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
10.566 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
10.566 * [taylor]: Taking taylor expansion of +nan.0 in n
10.566 * [backup-simplify]: Simplify +nan.0 into +nan.0
10.566 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
10.566 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.566 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.566 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.566 * [taylor]: Taking taylor expansion of -2 in n
10.566 * [backup-simplify]: Simplify -2 into -2
10.566 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.566 * [taylor]: Taking taylor expansion of PI in n
10.566 * [backup-simplify]: Simplify PI into PI
10.566 * [taylor]: Taking taylor expansion of n in n
10.566 * [backup-simplify]: Simplify 0 into 0
10.566 * [backup-simplify]: Simplify 1 into 1
10.566 * [backup-simplify]: Simplify (/ PI 1) into PI
10.567 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.567 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.567 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.568 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.568 * [taylor]: Taking taylor expansion of 1/2 in n
10.568 * [backup-simplify]: Simplify 1/2 into 1/2
10.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.568 * [taylor]: Taking taylor expansion of k in n
10.568 * [backup-simplify]: Simplify k into k
10.568 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.568 * [taylor]: Taking taylor expansion of 1/2 in n
10.568 * [backup-simplify]: Simplify 1/2 into 1/2
10.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.569 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.569 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.569 * [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)))
10.570 * [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))))
10.571 * [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)))))
10.572 * [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))))))
10.572 * [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))))))
10.575 * [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)))))))))))
10.575 * * * [progress]: simplifying candidates
10.575 * * * * [progress]: [ 1 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))))))>
10.575 * * * * [progress]: [ 2 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))))))>
10.575 * * * * [progress]: [ 3 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
10.575 * * * * [progress]: [ 4 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
10.575 * * * * [progress]: [ 5 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
10.575 * * * * [progress]: [ 6 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
10.575 * * * * [progress]: [ 7 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
10.575 * * * * [progress]: [ 8 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))>
10.576 * * * * [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)))))))>
10.576 * * * * [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)))))))>
10.576 * * * * [progress]: [ 11 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
10.576 * * * * [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)))))))>
10.576 * * * * [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)))))))>
10.576 * * * * [progress]: [ 14 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
10.576 * * * * [progress]: [ 15 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
10.576 * * * * [progress]: [ 16 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
10.576 * * * * [progress]: [ 17 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
10.576 * * * * [progress]: [ 18 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1))))>
10.576 * * * * [progress]: [ 19 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
10.576 * * * * [progress]: [ 20 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
10.576 * * * * [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))))))))>
10.576 * * * * [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))))))))>
10.576 * * * * [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))))))))>
10.576 * * * * [progress]: [ 24 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
10.576 * * * * [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))))))>
10.576 * * * * [progress]: [ 26 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
10.576 * * * * [progress]: [ 27 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
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10.576 * * * * [progress]: [ 30 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2))))))>
10.576 * * * * [progress]: [ 31 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2))))))>
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10.577 * * * * [progress]: [ 33 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
10.577 * * * * [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))))))>
10.577 * * * * [progress]: [ 35 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))))))>
10.577 * * * * [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))))))>
10.577 * * * * [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))))))>
10.577 * * * * [progress]: [ 38 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
10.577 * * * * [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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10.577 * * * * [progress]: [ 42 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2))))))>
10.577 * * * * [progress]: [ 43 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
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10.577 * * * * [progress]: [ 45 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
10.577 * * * * [progress]: [ 46 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
10.577 * * * * [progress]: [ 47 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))))))>
10.577 * * * * [progress]: [ 48 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))))))>
10.577 * * * * [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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10.577 * * * * [progress]: [ 52 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
10.577 * * * * [progress]: [ 53 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
10.577 * * * * [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))))))))>
10.577 * * * * [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))))))))>
10.577 * * * * [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))))))))>
10.577 * * * * [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))))))))>
10.578 * * * * [progress]: [ 58 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
10.578 * * * * [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)))))))>
10.578 * * * * [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)))))))>
10.578 * * * * [progress]: [ 61 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.578 * * * * [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))))))))>
10.578 * * * * [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))))))))>
10.578 * * * * [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)))))))>
10.578 * * * * [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))))))>
10.578 * * * * [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)))))))>
10.578 * * * * [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)))))))>
10.578 * * * * [progress]: [ 68 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.578 * * * * [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))))))))>
10.578 * * * * [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))))))))>
10.578 * * * * [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)))))))>
10.578 * * * * [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))))))>
10.578 * * * * [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)))))))>
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10.578 * * * * [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))))))))>
10.578 * * * * [progress]: [ 77 / 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))))))))>
10.578 * * * * [progress]: [ 78 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
10.578 * * * * [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))))))>
10.579 * * * * [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)))))))>
10.579 * * * * [progress]: [ 81 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
10.579 * * * * [progress]: [ 82 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
10.579 * * * * [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))))))))>
10.579 * * * * [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))))))))>
10.579 * * * * [progress]: [ 85 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
10.579 * * * * [progress]: [ 86 / 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))))))>
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10.579 * * * * [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))))))))>
10.579 * * * * [progress]: [ 92 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
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10.579 * * * * [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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10.579 * * * * [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))))))))>
10.579 * * * * [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))))))))>
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10.579 * * * * [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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10.580 * * * * [progress]: [ 105 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (- (/ k 2))))))>
10.580 * * * * [progress]: [ 106 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))>
10.580 * * * * [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)))))))>
10.580 * * * * [progress]: [ 108 / 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)))))))>
10.580 * * * * [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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10.580 * * * * [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))))))>
10.580 * * * * [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))))))>
10.580 * * * * [progress]: [ 113 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
10.580 * * * * [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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10.580 * * * * [progress]: [ 118 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
10.580 * * * * [progress]: [ 119 / 355 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) -1))>
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10.580 * * * * [progress]: [ 122 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))))))>
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10.581 * * * * [progress]: [ 132 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
10.581 * * * * [progress]: [ 133 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
10.581 * * * * [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)))))))>
10.581 * * * * [progress]: [ 135 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))))))>
10.581 * * * * [progress]: [ 136 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
10.581 * * * * [progress]: [ 137 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
10.581 * * * * [progress]: [ 138 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
10.581 * * * * [progress]: [ 139 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
10.581 * * * * [progress]: [ 140 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
10.581 * * * * [progress]: [ 141 / 355 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
10.581 * * * * [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))))))))>
10.581 * * * * [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))))))))>
10.581 * * * * [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))))))))>
10.581 * * * * [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))))))))>
10.581 * * * * [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))))))))>
10.581 * * * * [progress]: [ 147 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
10.581 * * * * [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))))))))>
10.581 * * * * [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))))))))>
10.581 * * * * [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)))))))>
10.581 * * * * [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)))))))>
10.581 * * * * [progress]: [ 152 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.581 * * * * [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))))))))>
10.582 * * * * [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))))))))>
10.582 * * * * [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)))))))>
10.582 * * * * [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))))))>
10.582 * * * * [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)))))))>
10.582 * * * * [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)))))))>
10.582 * * * * [progress]: [ 159 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.582 * * * * [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))))))))>
10.582 * * * * [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))))))))>
10.582 * * * * [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)))))))>
10.582 * * * * [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))))))>
10.582 * * * * [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)))))))>
10.582 * * * * [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)))))))>
10.582 * * * * [progress]: [ 166 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.582 * * * * [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))))))))>
10.582 * * * * [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))))))))>
10.582 * * * * [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)))))))>
10.582 * * * * [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))))))>
10.582 * * * * [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)))))))>
10.582 * * * * [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)))))))>
10.582 * * * * [progress]: [ 173 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
10.582 * * * * [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))))))))>
10.583 * * * * [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))))))))>
10.583 * * * * [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)))))))>
10.583 * * * * [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))))))>
10.583 * * * * [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)))))))>
10.583 * * * * [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)))))))>
10.583 * * * * [progress]: [ 180 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.583 * * * * [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))))))))>
10.583 * * * * [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))))))))>
10.583 * * * * [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)))))))>
10.583 * * * * [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))))))>
10.583 * * * * [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)))))))>
10.583 * * * * [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)))))))>
10.583 * * * * [progress]: [ 187 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
10.583 * * * * [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))))))))>
10.583 * * * * [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))))))))>
10.583 * * * * [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)))))))>
10.583 * * * * [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))))))>
10.583 * * * * [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)))))))>
10.583 * * * * [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)))))))>
10.583 * * * * [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)))))>
10.583 * * * * [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))))))))>
10.583 * * * * [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))))))))>
10.583 * * * * [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)))))))>
10.583 * * * * [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)))))))>
10.584 * * * * [progress]: [ 199 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.584 * * * * [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))))))))>
10.584 * * * * [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))))))))>
10.584 * * * * [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)))))))>
10.584 * * * * [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))))))>
10.584 * * * * [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)))))))>
10.584 * * * * [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)))))))>
10.584 * * * * [progress]: [ 206 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.584 * * * * [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))))))))>
10.584 * * * * [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))))))))>
10.584 * * * * [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)))))))>
10.584 * * * * [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))))))>
10.584 * * * * [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)))))))>
10.584 * * * * [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)))))))>
10.584 * * * * [progress]: [ 213 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.584 * * * * [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))))))))>
10.584 * * * * [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))))))))>
10.584 * * * * [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)))))))>
10.584 * * * * [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))))))>
10.584 * * * * [progress]: [ 218 / 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)))))))>
10.584 * * * * [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)))))))>
10.584 * * * * [progress]: [ 220 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
10.584 * * * * [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))))))))>
10.584 * * * * [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))))))))>
10.585 * * * * [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)))))))>
10.585 * * * * [progress]: [ 224 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
10.585 * * * * [progress]: [ 225 / 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)))))))>
10.585 * * * * [progress]: [ 226 / 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)))))))>
10.585 * * * * [progress]: [ 227 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.585 * * * * [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))))))))>
10.585 * * * * [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))))))))>
10.585 * * * * [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)))))))>
10.585 * * * * [progress]: [ 231 / 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))))))>
10.585 * * * * [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)))))))>
10.585 * * * * [progress]: [ 233 / 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)))))))>
10.585 * * * * [progress]: [ 234 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
10.585 * * * * [progress]: [ 235 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 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))))))))>
10.585 * * * * [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))))))))>
10.585 * * * * [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)))))))>
10.585 * * * * [progress]: [ 238 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))))>
10.585 * * * * [progress]: [ 239 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
10.585 * * * * [progress]: [ 240 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
10.585 * * * * [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)))))>
10.585 * * * * [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))))))))>
10.585 * * * * [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))))))))>
10.585 * * * * [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)))))))>
10.585 * * * * [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)))))))>
10.586 * * * * [progress]: [ 246 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.586 * * * * [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))))))))>
10.586 * * * * [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))))))))>
10.586 * * * * [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)))))))>
10.586 * * * * [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))))))>
10.586 * * * * [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)))))))>
10.586 * * * * [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)))))))>
10.586 * * * * [progress]: [ 253 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.586 * * * * [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))))))))>
10.586 * * * * [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))))))))>
10.586 * * * * [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)))))))>
10.586 * * * * [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))))))>
10.586 * * * * [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)))))))>
10.586 * * * * [progress]: [ 259 / 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)))))))>
10.586 * * * * [progress]: [ 260 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.586 * * * * [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))))))))>
10.586 * * * * [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))))))))>
10.586 * * * * [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)))))))>
10.586 * * * * [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))))))>
10.586 * * * * [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)))))))>
10.586 * * * * [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)))))))>
10.586 * * * * [progress]: [ 267 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
10.586 * * * * [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))))))))>
10.587 * * * * [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))))))))>
10.587 * * * * [progress]: [ 270 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
10.587 * * * * [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))))))>
10.587 * * * * [progress]: [ 272 / 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)))))))>
10.587 * * * * [progress]: [ 273 / 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)))))))>
10.587 * * * * [progress]: [ 274 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
10.587 * * * * [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))))))))>
10.587 * * * * [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))))))))>
10.587 * * * * [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)))))))>
10.587 * * * * [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))))))>
10.587 * * * * [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)))))))>
10.587 * * * * [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)))))))>
10.587 * * * * [progress]: [ 281 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
10.587 * * * * [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))))))))>
10.587 * * * * [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))))))))>
10.587 * * * * [progress]: [ 284 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
10.587 * * * * [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))))))>
10.587 * * * * [progress]: [ 286 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
10.587 * * * * [progress]: [ 287 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
10.587 * * * * [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)))))>
10.587 * * * * [progress]: [ 289 / 355 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
10.587 * * * * [progress]: [ 290 / 355 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
10.587 * * * * [progress]: [ 291 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
10.587 * * * * [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)))))))>
10.588 * * * * [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)))))))>
10.588 * * * * [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))))))>
10.588 * * * * [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))))))>
10.588 * * * * [progress]: [ 296 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
10.588 * * * * [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)))))))>
10.588 * * * * [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)))))))>
10.588 * * * * [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))))))>
10.588 * * * * [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)))))>
10.588 * * * * [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))))))>
10.588 * * * * [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))))))>
10.588 * * * * [progress]: [ 303 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))))>
10.588 * * * * [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)))))))>
10.588 * * * * [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)))))))>
10.588 * * * * [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))))))>
10.588 * * * * [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)))))>
10.588 * * * * [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))))))>
10.588 * * * * [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))))))>
10.588 * * * * [progress]: [ 310 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
10.588 * * * * [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)))))))>
10.588 * * * * [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)))))))>
10.588 * * * * [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))))))>
10.588 * * * * [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)))))>
10.588 * * * * [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))))))>
10.589 * * * * [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))))))>
10.589 * * * * [progress]: [ 317 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
10.589 * * * * [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)))))))>
10.589 * * * * [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)))))))>
10.589 * * * * [progress]: [ 320 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
10.589 * * * * [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)))))>
10.589 * * * * [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))))))>
10.589 * * * * [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))))))>
10.589 * * * * [progress]: [ 324 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
10.589 * * * * [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)))))))>
10.589 * * * * [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)))))))>
10.589 * * * * [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))))))>
10.589 * * * * [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)))))>
10.589 * * * * [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))))))>
10.589 * * * * [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))))))>
10.589 * * * * [progress]: [ 331 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
10.589 * * * * [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)))))))>
10.589 * * * * [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)))))))>
10.589 * * * * [progress]: [ 334 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
10.589 * * * * [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)))))>
10.589 * * * * [progress]: [ 336 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
10.589 * * * * [progress]: [ 337 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
10.589 * * * * [progress]: [ 338 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))>
10.589 * * * * [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))))>
10.590 * * * * [progress]: [ 340 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt 1) (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1))))>
10.590 * * * * [progress]: [ 341 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
10.590 * * * * [progress]: [ 342 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
10.590 * * * * [progress]: [ 343 / 355 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
10.590 * * * * [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))))))))>
10.590 * * * * [progress]: [ 345 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
10.590 * * * * [progress]: [ 346 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
10.590 * * * * [progress]: [ 347 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
10.590 * * * * [progress]: [ 348 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
10.590 * * * * [progress]: [ 349 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
10.590 * * * * [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)))))))))))))>
10.590 * * * * [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))))))))))))))>
10.590 * * * * [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))))))))))))))>
10.590 * * * * [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))))))))))))))>
10.590 * * * * [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)))))))))>
10.590 * * * * [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))))))))))))>
10.601 * [simplify]: Simplifying:
  (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (log n) (log 2)) (log PI))
  (+ (log (* n 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* n 2) (* (cbrt PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (- (log (sqrt k)) (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (log (/ (sqrt k) (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 2) (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow 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 2) (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow 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 2) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow 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 2) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow 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 2) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow 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)))))
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  (/ (sqrt 1) (/ (sqrt (sqrt k)) 1))
  (/ (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)) 2))))
  (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) 1/2)))
  (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) 1/2)))
  (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ (sqrt 1) (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (/ 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))))))
  (/ (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))))))
  (/ (sqrt 1) (/ 1 1))
  (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (/ (sqrt k) (pow (* (* n 2) PI) 1/2)))
  (/ (sqrt 1) (pow (* (* n 2) PI) (/ k 2)))
  (/ 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))))))
  (/ 1 (sqrt (/ (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)) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (cbrt (sqrt k)) (pow 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 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (cbrt k)) (pow 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 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow 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 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow 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 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow 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 2) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow 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 2) (- 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 2) (- 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 2) (- 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 2) (- 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 2) (- 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 2) (- 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)))))))))))
10.619 * * [simplify]: iteration 0: 536 enodes
10.882 * * [simplify]: iteration 1: 1455 enodes
11.248 * * [simplify]: iteration 2: 2001 enodes
11.576 * * [simplify]: iteration complete: 2001 enodes
11.577 * * [simplify]: Extracting #0: cost 174 inf + 0
11.578 * * [simplify]: Extracting #1: cost 436 inf + 2
11.582 * * [simplify]: Extracting #2: cost 561 inf + 4284
11.593 * * [simplify]: Extracting #3: cost 494 inf + 44677
11.621 * * [simplify]: Extracting #4: cost 267 inf + 128948
11.642 * * [simplify]: Extracting #5: cost 184 inf + 167902
11.683 * * [simplify]: Extracting #6: cost 132 inf + 190951
11.716 * * [simplify]: Extracting #7: cost 62 inf + 217124
11.774 * * [simplify]: Extracting #8: cost 25 inf + 237222
11.825 * * [simplify]: Extracting #9: cost 10 inf + 247432
11.875 * * [simplify]: Extracting #10: cost 6 inf + 248070
11.932 * * [simplify]: Extracting #11: cost 1 inf + 252559
12.004 * * [simplify]: Extracting #12: cost 0 inf + 253825
12.079 * [simplify]: Simplified to:
  (* (log (* PI (* 2 n))) (- 1/2 (/ k 2)))
  (* (log (* PI (* 2 n))) (- 1/2 (/ k 2)))
  (* (log (* PI (* 2 n))) (- 1/2 (/ k 2)))
  (* (log (* PI (* 2 n))) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* PI (* 2 n)))
  (pow (* PI (* 2 n)) (/ k 2))
  (pow (* PI (* 2 n)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* PI (* 2 n)) (sqrt (- 1/2 (/ k 2))))
  (* PI (* 2 n))
  (pow (* PI (* 2 n)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* PI (* 2 n)) (+ (/ (sqrt 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 (* 2 n) (- 1/2 (/ k 2)))
  (pow PI (- 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 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))) 3)
  (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (* PI (* 2 n))
  (* PI (* 2 n))
  (log (* PI (* 2 n)))
  (log (* PI (* 2 n)))
  (log (* PI (* 2 n)))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* PI PI) PI) (* (* n n) (* n 8)))
  (* (* (* PI PI) PI) (* (* (* n n) 4) (* 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 PI) (cbrt PI))))
  (* (sqrt PI) (* 2 n))
  (* 2 n)
  (* 2 PI)
  (real->posit16 (* PI (* 2 n)))
  (- (log (sqrt k)) (* (log (* PI (* 2 n))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* PI (* 2 n))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* PI (* 2 n))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* PI (* 2 n))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (- 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) k) (pow (pow (* PI (* 2 n)) (- 1/2 (/ k 2))) 3))
  (* (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 k))
  (- (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (/ (cbrt (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (/ (cbrt (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow PI (- 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))))))
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  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (sqrt (* PI (* 2 n)))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (pow (* 2 n) (- 1/2 (/ k 2)))
  (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  1
  (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  1
  (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt k))
  (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))
  (/ 1 (/ (sqrt k) (sqrt (* PI (* 2 n)))))
  (/ 1 (pow (* PI (* 2 n)) (/ k 2)))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))))
  (/ 1 (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (cbrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (cbrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))))
  (* (/ 1 (cbrt (sqrt k))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (* (/ 1 (cbrt (sqrt k))) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (cbrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (fabs (cbrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (cbrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (fabs (cbrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (cbrt k))) (pow PI (- 1/2 (/ k 2))))
  (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (* (/ 1 (sqrt (cbrt k))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (fabs (cbrt k)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (* (/ 1 (fabs (cbrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (* PI (* 2 n)))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (sqrt (* PI (* 2 n)))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (pow (* 2 n) (- 1/2 (/ k 2)))
  (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  1
  (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (* PI (* 2 n)))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (sqrt (* PI (* 2 n)))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- k) 2)))
  (pow (* 2 n) (- 1/2 (/ k 2)))
  (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  1
  (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  (* (/ 1 (sqrt k)) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  1
  (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt k))
  (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))
  (/ 1 (/ (sqrt k) (sqrt (* PI (* 2 n)))))
  (/ 1 (pow (* PI (* 2 n)) (/ k 2)))
  (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (fabs (cbrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (fabs (cbrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
  (/ 1 (fabs (cbrt k)))
  (* (/ 1 (fabs (cbrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (* PI (* 2 n)))
  (sqrt (* PI (* 2 n)))
  (pow (* 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 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  1
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (* PI (* 2 n)))
  (sqrt (* PI (* 2 n)))
  (pow (* 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 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))
  1
  (pow (* PI (* 2 n)) (/ (- 1/2 (/ k 2)) 2))
  1
  (/ 1 (sqrt k))
  (/ 1 (/ (sqrt k) (sqrt (* PI (* 2 n)))))
  (/ (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))))
  (/ 1 (sqrt k))
  (real->posit16 (/ 1 (/ (sqrt k) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
  (+ (* (* (* (log (* 2 PI)) (exp (* (log (* PI (* 2 n))) 1/2))) (* (log n) (* k k))) 1/4) (- (+ (* (* 1/8 (exp (* (log (* PI (* 2 n))) 1/2))) (* (* k k) (* (log n) (log n)))) (+ (exp (* (log (* PI (* 2 n))) 1/2)) (* (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (* (exp (* (log (* PI (* 2 n))) 1/2)) (* k k))))) (* 1/2 (+ (* (* (exp (* (log (* PI (* 2 n))) 1/2)) (log n)) k) (* (log (* 2 PI)) (* k (exp (* (log (* PI (* 2 n))) 1/2))))))))
  (exp (* (log (* PI (* 2 n))) (- 1/2 (* k 1/2))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* PI (* 2 n))
  (* PI (* 2 n))
  (* PI (* 2 n))
  (+ (* (- (/ (* (* (sqrt 2) (* k k)) (* (log (* 2 PI)) 1/2)) PI)) +nan.0) (- (/ (* +nan.0 (* (sqrt 1/2) (* k k))) PI) (- (* (/ (* (* k (sqrt 1/2)) n) (* PI PI)) +nan.0) (- (* (/ (* (log n) (* (* 1/2 (* k k)) (sqrt 2))) PI) +nan.0) (* (/ (* k (sqrt 1/2)) PI) +nan.0)))))
  (+ (- (/ +nan.0 (* (exp (* (log (* PI (* 2 n))) (- 1/2 (* k 1/2)))) k))) (- (/ +nan.0 (* (* k k) (exp (* (log (* PI (* 2 n))) (- 1/2 (* k 1/2)))))) (/ +nan.0 (exp (* (log (* PI (* 2 n))) (- 1/2 (* k 1/2)))))))
  (+ (- (/ +nan.0 (* (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) (* k k)))) (- (/ +nan.0 (* k (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))))) (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))))))
  (- (- (* (* +nan.0 (sqrt 2)) (* (* PI n) k)) (- (* (* +nan.0 (sqrt 2)) (* PI n)) (- (* (* +nan.0 (log (* 2 PI))) (* (sqrt 2) (* (* PI n) k))) (- (* +nan.0 (* (sqrt 2) (* (* PI n) (* (log n) k)))) (* (* (* (* PI n) (* PI n)) (sqrt 2)) +nan.0))))))
  (- (- (* +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))))) k) (* +nan.0 (/ (exp (* (log (* PI (* 2 n))) (- 1/2 (* k 1/2)))) (* k k))))))
  (+ (* (- +nan.0) (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (* (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) (* k k)) +nan.0) (* (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) +nan.0)))
12.117 * * * [progress]: adding candidates to table
16.376 * * [progress]: iteration 4 / 4
16.376 * * * [progress]: picking best candidate
16.400 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
16.400 * * * [progress]: localizing error
16.443 * * * [progress]: generating rewritten candidates
16.443 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
16.452 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2)
16.457 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
16.481 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
16.518 * * * [progress]: generating series expansions
16.518 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
16.518 * [backup-simplify]: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
16.518 * [approximate]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
16.518 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
16.518 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
16.518 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
16.518 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
16.518 * [taylor]: Taking taylor expansion of 1/2 in k
16.518 * [backup-simplify]: Simplify 1/2 into 1/2
16.518 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
16.518 * [taylor]: Taking taylor expansion of 1/2 in k
16.518 * [backup-simplify]: Simplify 1/2 into 1/2
16.518 * [taylor]: Taking taylor expansion of k in k
16.518 * [backup-simplify]: Simplify 0 into 0
16.518 * [backup-simplify]: Simplify 1 into 1
16.518 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
16.518 * [taylor]: Taking taylor expansion of (* 2 n) in k
16.518 * [taylor]: Taking taylor expansion of 2 in k
16.518 * [backup-simplify]: Simplify 2 into 2
16.518 * [taylor]: Taking taylor expansion of n in k
16.518 * [backup-simplify]: Simplify n into n
16.518 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
16.518 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
16.525 * [backup-simplify]: Simplify (* 1/2 0) into 0
16.525 * [backup-simplify]: Simplify (- 0) into 0
16.526 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.526 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
16.526 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
16.526 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
16.526 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
16.526 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
16.526 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
16.526 * [taylor]: Taking taylor expansion of 1/2 in n
16.526 * [backup-simplify]: Simplify 1/2 into 1/2
16.526 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
16.526 * [taylor]: Taking taylor expansion of 1/2 in n
16.526 * [backup-simplify]: Simplify 1/2 into 1/2
16.526 * [taylor]: Taking taylor expansion of k in n
16.526 * [backup-simplify]: Simplify k into k
16.526 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
16.526 * [taylor]: Taking taylor expansion of (* 2 n) in n
16.526 * [taylor]: Taking taylor expansion of 2 in n
16.526 * [backup-simplify]: Simplify 2 into 2
16.526 * [taylor]: Taking taylor expansion of n in n
16.526 * [backup-simplify]: Simplify 0 into 0
16.526 * [backup-simplify]: Simplify 1 into 1
16.526 * [backup-simplify]: Simplify (* 2 0) into 0
16.527 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
16.527 * [backup-simplify]: Simplify (log 2) into (log 2)
16.527 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
16.527 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
16.527 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
16.528 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
16.528 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
16.528 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
16.528 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
16.528 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
16.528 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
16.528 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
16.528 * [taylor]: Taking taylor expansion of 1/2 in n
16.528 * [backup-simplify]: Simplify 1/2 into 1/2
16.528 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
16.528 * [taylor]: Taking taylor expansion of 1/2 in n
16.528 * [backup-simplify]: Simplify 1/2 into 1/2
16.528 * [taylor]: Taking taylor expansion of k in n
16.528 * [backup-simplify]: Simplify k into k
16.528 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
16.528 * [taylor]: Taking taylor expansion of (* 2 n) in n
16.528 * [taylor]: Taking taylor expansion of 2 in n
16.529 * [backup-simplify]: Simplify 2 into 2
16.529 * [taylor]: Taking taylor expansion of n in n
16.529 * [backup-simplify]: Simplify 0 into 0
16.529 * [backup-simplify]: Simplify 1 into 1
16.529 * [backup-simplify]: Simplify (* 2 0) into 0
16.529 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
16.529 * [backup-simplify]: Simplify (log 2) into (log 2)
16.530 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
16.530 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
16.530 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
16.530 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
16.530 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
16.531 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
16.531 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
16.531 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
16.531 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
16.531 * [taylor]: Taking taylor expansion of (log 2) in k
16.531 * [taylor]: Taking taylor expansion of 2 in k
16.531 * [backup-simplify]: Simplify 2 into 2
16.531 * [backup-simplify]: Simplify (log 2) into (log 2)
16.531 * [taylor]: Taking taylor expansion of (log n) in k
16.531 * [taylor]: Taking taylor expansion of n in k
16.531 * [backup-simplify]: Simplify n into n
16.531 * [backup-simplify]: Simplify (log n) into (log n)
16.531 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
16.531 * [taylor]: Taking taylor expansion of 1/2 in k
16.531 * [backup-simplify]: Simplify 1/2 into 1/2
16.531 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
16.531 * [taylor]: Taking taylor expansion of 1/2 in k
16.531 * [backup-simplify]: Simplify 1/2 into 1/2
16.531 * [taylor]: Taking taylor expansion of k in k
16.531 * [backup-simplify]: Simplify 0 into 0
16.531 * [backup-simplify]: Simplify 1 into 1
16.532 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
16.532 * [backup-simplify]: Simplify (* 1/2 0) into 0
16.532 * [backup-simplify]: Simplify (- 0) into 0
16.532 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.533 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
16.533 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
16.533 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
16.534 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
16.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
16.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
16.535 * [backup-simplify]: Simplify (- 0) into 0
16.536 * [backup-simplify]: Simplify (+ 0 0) into 0
16.536 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
16.536 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
16.537 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
16.537 * [taylor]: Taking taylor expansion of 0 in k
16.537 * [backup-simplify]: Simplify 0 into 0
16.537 * [backup-simplify]: Simplify 0 into 0
16.538 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
16.538 * [backup-simplify]: Simplify (- 1/2) into -1/2
16.538 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
16.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
16.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
16.540 * [backup-simplify]: Simplify (+ 0 0) into 0
16.540 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
16.541 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
16.542 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
16.544 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
16.546 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
16.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
16.548 * [backup-simplify]: Simplify (- 0) into 0
16.548 * [backup-simplify]: Simplify (+ 0 0) into 0
16.549 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
16.550 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
16.551 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.552 * [taylor]: Taking taylor expansion of 0 in k
16.552 * [backup-simplify]: Simplify 0 into 0
16.552 * [backup-simplify]: Simplify 0 into 0
16.552 * [backup-simplify]: Simplify 0 into 0
16.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
16.553 * [backup-simplify]: Simplify (- 0) into 0
16.553 * [backup-simplify]: Simplify (+ 0 0) into 0
16.556 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
16.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
16.559 * [backup-simplify]: Simplify (+ 0 0) into 0
16.560 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
16.562 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
16.565 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
16.571 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
16.571 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
16.571 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
16.571 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
16.571 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
16.571 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
16.571 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
16.571 * [taylor]: Taking taylor expansion of 1/2 in k
16.571 * [backup-simplify]: Simplify 1/2 into 1/2
16.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
16.571 * [taylor]: Taking taylor expansion of 1/2 in k
16.571 * [backup-simplify]: Simplify 1/2 into 1/2
16.571 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.571 * [taylor]: Taking taylor expansion of k in k
16.571 * [backup-simplify]: Simplify 0 into 0
16.571 * [backup-simplify]: Simplify 1 into 1
16.572 * [backup-simplify]: Simplify (/ 1 1) into 1
16.572 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
16.572 * [taylor]: Taking taylor expansion of (/ 2 n) in k
16.572 * [taylor]: Taking taylor expansion of 2 in k
16.572 * [backup-simplify]: Simplify 2 into 2
16.572 * [taylor]: Taking taylor expansion of n in k
16.572 * [backup-simplify]: Simplify n into n
16.572 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
16.572 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
16.573 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
16.573 * [backup-simplify]: Simplify (- 1/2) into -1/2
16.574 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
16.574 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
16.574 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
16.574 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
16.574 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
16.574 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
16.574 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
16.574 * [taylor]: Taking taylor expansion of 1/2 in n
16.574 * [backup-simplify]: Simplify 1/2 into 1/2
16.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
16.574 * [taylor]: Taking taylor expansion of 1/2 in n
16.574 * [backup-simplify]: Simplify 1/2 into 1/2
16.574 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.574 * [taylor]: Taking taylor expansion of k in n
16.574 * [backup-simplify]: Simplify k into k
16.574 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.574 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
16.574 * [taylor]: Taking taylor expansion of (/ 2 n) in n
16.574 * [taylor]: Taking taylor expansion of 2 in n
16.574 * [backup-simplify]: Simplify 2 into 2
16.574 * [taylor]: Taking taylor expansion of n in n
16.574 * [backup-simplify]: Simplify 0 into 0
16.574 * [backup-simplify]: Simplify 1 into 1
16.575 * [backup-simplify]: Simplify (/ 2 1) into 2
16.575 * [backup-simplify]: Simplify (log 2) into (log 2)
16.575 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
16.575 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
16.576 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
16.576 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
16.577 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
16.577 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
16.577 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
16.578 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
16.578 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
16.578 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
16.578 * [taylor]: Taking taylor expansion of 1/2 in n
16.578 * [backup-simplify]: Simplify 1/2 into 1/2
16.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
16.578 * [taylor]: Taking taylor expansion of 1/2 in n
16.578 * [backup-simplify]: Simplify 1/2 into 1/2
16.578 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.578 * [taylor]: Taking taylor expansion of k in n
16.578 * [backup-simplify]: Simplify k into k
16.578 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.578 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
16.578 * [taylor]: Taking taylor expansion of (/ 2 n) in n
16.578 * [taylor]: Taking taylor expansion of 2 in n
16.578 * [backup-simplify]: Simplify 2 into 2
16.578 * [taylor]: Taking taylor expansion of n in n
16.578 * [backup-simplify]: Simplify 0 into 0
16.578 * [backup-simplify]: Simplify 1 into 1
16.578 * [backup-simplify]: Simplify (/ 2 1) into 2
16.579 * [backup-simplify]: Simplify (log 2) into (log 2)
16.579 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
16.579 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
16.579 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
16.580 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
16.580 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
16.581 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
16.581 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
16.581 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
16.581 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
16.581 * [taylor]: Taking taylor expansion of 1/2 in k
16.581 * [backup-simplify]: Simplify 1/2 into 1/2
16.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
16.581 * [taylor]: Taking taylor expansion of 1/2 in k
16.581 * [backup-simplify]: Simplify 1/2 into 1/2
16.581 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.581 * [taylor]: Taking taylor expansion of k in k
16.581 * [backup-simplify]: Simplify 0 into 0
16.581 * [backup-simplify]: Simplify 1 into 1
16.582 * [backup-simplify]: Simplify (/ 1 1) into 1
16.582 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
16.582 * [taylor]: Taking taylor expansion of (log 2) in k
16.582 * [taylor]: Taking taylor expansion of 2 in k
16.582 * [backup-simplify]: Simplify 2 into 2
16.583 * [backup-simplify]: Simplify (log 2) into (log 2)
16.583 * [taylor]: Taking taylor expansion of (log n) in k
16.583 * [taylor]: Taking taylor expansion of n in k
16.583 * [backup-simplify]: Simplify n into n
16.583 * [backup-simplify]: Simplify (log n) into (log n)
16.583 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
16.583 * [backup-simplify]: Simplify (- 1/2) into -1/2
16.584 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
16.584 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
16.584 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
16.585 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
16.585 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
16.586 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
16.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
16.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
16.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
16.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
16.589 * [backup-simplify]: Simplify (- 0) into 0
16.590 * [backup-simplify]: Simplify (+ 0 0) into 0
16.590 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
16.591 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
16.592 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
16.592 * [taylor]: Taking taylor expansion of 0 in k
16.592 * [backup-simplify]: Simplify 0 into 0
16.592 * [backup-simplify]: Simplify 0 into 0
16.592 * [backup-simplify]: Simplify 0 into 0
16.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
16.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
16.598 * [backup-simplify]: Simplify (- 0) into 0
16.598 * [backup-simplify]: Simplify (+ 0 0) into 0
16.599 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
16.600 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
16.602 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.602 * [taylor]: Taking taylor expansion of 0 in k
16.602 * [backup-simplify]: Simplify 0 into 0
16.602 * [backup-simplify]: Simplify 0 into 0
16.602 * [backup-simplify]: Simplify 0 into 0
16.602 * [backup-simplify]: Simplify 0 into 0
16.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.608 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
16.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
16.610 * [backup-simplify]: Simplify (- 0) into 0
16.611 * [backup-simplify]: Simplify (+ 0 0) into 0
16.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
16.612 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
16.613 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
16.613 * [taylor]: Taking taylor expansion of 0 in k
16.613 * [backup-simplify]: Simplify 0 into 0
16.613 * [backup-simplify]: Simplify 0 into 0
16.613 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
16.613 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
16.614 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
16.614 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
16.614 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
16.614 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
16.614 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
16.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
16.614 * [taylor]: Taking taylor expansion of 1/2 in k
16.614 * [backup-simplify]: Simplify 1/2 into 1/2
16.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.614 * [taylor]: Taking taylor expansion of k in k
16.614 * [backup-simplify]: Simplify 0 into 0
16.614 * [backup-simplify]: Simplify 1 into 1
16.614 * [backup-simplify]: Simplify (/ 1 1) into 1
16.614 * [taylor]: Taking taylor expansion of 1/2 in k
16.614 * [backup-simplify]: Simplify 1/2 into 1/2
16.614 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
16.614 * [taylor]: Taking taylor expansion of (/ -2 n) in k
16.614 * [taylor]: Taking taylor expansion of -2 in k
16.614 * [backup-simplify]: Simplify -2 into -2
16.614 * [taylor]: Taking taylor expansion of n in k
16.614 * [backup-simplify]: Simplify n into n
16.614 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
16.614 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
16.614 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
16.615 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.615 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
16.615 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
16.615 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
16.615 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
16.615 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
16.615 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
16.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
16.615 * [taylor]: Taking taylor expansion of 1/2 in n
16.615 * [backup-simplify]: Simplify 1/2 into 1/2
16.615 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.615 * [taylor]: Taking taylor expansion of k in n
16.615 * [backup-simplify]: Simplify k into k
16.615 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.615 * [taylor]: Taking taylor expansion of 1/2 in n
16.615 * [backup-simplify]: Simplify 1/2 into 1/2
16.615 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
16.615 * [taylor]: Taking taylor expansion of (/ -2 n) in n
16.615 * [taylor]: Taking taylor expansion of -2 in n
16.615 * [backup-simplify]: Simplify -2 into -2
16.615 * [taylor]: Taking taylor expansion of n in n
16.615 * [backup-simplify]: Simplify 0 into 0
16.615 * [backup-simplify]: Simplify 1 into 1
16.615 * [backup-simplify]: Simplify (/ -2 1) into -2
16.616 * [backup-simplify]: Simplify (log -2) into (log -2)
16.616 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
16.616 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
16.617 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
16.617 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
16.617 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
16.617 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
16.617 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
16.617 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
16.617 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
16.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
16.617 * [taylor]: Taking taylor expansion of 1/2 in n
16.617 * [backup-simplify]: Simplify 1/2 into 1/2
16.617 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.617 * [taylor]: Taking taylor expansion of k in n
16.617 * [backup-simplify]: Simplify k into k
16.617 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.617 * [taylor]: Taking taylor expansion of 1/2 in n
16.617 * [backup-simplify]: Simplify 1/2 into 1/2
16.617 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
16.617 * [taylor]: Taking taylor expansion of (/ -2 n) in n
16.617 * [taylor]: Taking taylor expansion of -2 in n
16.618 * [backup-simplify]: Simplify -2 into -2
16.618 * [taylor]: Taking taylor expansion of n in n
16.618 * [backup-simplify]: Simplify 0 into 0
16.618 * [backup-simplify]: Simplify 1 into 1
16.618 * [backup-simplify]: Simplify (/ -2 1) into -2
16.618 * [backup-simplify]: Simplify (log -2) into (log -2)
16.618 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
16.618 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
16.619 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
16.619 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
16.619 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
16.619 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
16.619 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
16.619 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
16.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
16.619 * [taylor]: Taking taylor expansion of 1/2 in k
16.619 * [backup-simplify]: Simplify 1/2 into 1/2
16.619 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.620 * [taylor]: Taking taylor expansion of k in k
16.620 * [backup-simplify]: Simplify 0 into 0
16.620 * [backup-simplify]: Simplify 1 into 1
16.620 * [backup-simplify]: Simplify (/ 1 1) into 1
16.620 * [taylor]: Taking taylor expansion of 1/2 in k
16.620 * [backup-simplify]: Simplify 1/2 into 1/2
16.620 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
16.620 * [taylor]: Taking taylor expansion of (log -2) in k
16.620 * [taylor]: Taking taylor expansion of -2 in k
16.620 * [backup-simplify]: Simplify -2 into -2
16.620 * [backup-simplify]: Simplify (log -2) into (log -2)
16.620 * [taylor]: Taking taylor expansion of (log n) in k
16.620 * [taylor]: Taking taylor expansion of n in k
16.620 * [backup-simplify]: Simplify n into n
16.620 * [backup-simplify]: Simplify (log n) into (log n)
16.620 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
16.621 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.621 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
16.621 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
16.621 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
16.622 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
16.622 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
16.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
16.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
16.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
16.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
16.624 * [backup-simplify]: Simplify (+ 0 0) into 0
16.624 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
16.625 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
16.626 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
16.626 * [taylor]: Taking taylor expansion of 0 in k
16.626 * [backup-simplify]: Simplify 0 into 0
16.626 * [backup-simplify]: Simplify 0 into 0
16.626 * [backup-simplify]: Simplify 0 into 0
16.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.628 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
16.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
16.629 * [backup-simplify]: Simplify (+ 0 0) into 0
16.629 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
16.630 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
16.631 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.631 * [taylor]: Taking taylor expansion of 0 in k
16.631 * [backup-simplify]: Simplify 0 into 0
16.631 * [backup-simplify]: Simplify 0 into 0
16.631 * [backup-simplify]: Simplify 0 into 0
16.631 * [backup-simplify]: Simplify 0 into 0
16.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.635 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0
16.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
16.636 * [backup-simplify]: Simplify (+ 0 0) into 0
16.637 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
16.638 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
16.644 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
16.644 * [taylor]: Taking taylor expansion of 0 in k
16.645 * [backup-simplify]: Simplify 0 into 0
16.645 * [backup-simplify]: Simplify 0 into 0
16.645 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
16.646 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2)
16.646 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k)))
16.646 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
16.646 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
16.646 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
16.646 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
16.646 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
16.646 * [taylor]: Taking taylor expansion of 1/2 in k
16.646 * [backup-simplify]: Simplify 1/2 into 1/2
16.646 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
16.646 * [taylor]: Taking taylor expansion of 1/2 in k
16.646 * [backup-simplify]: Simplify 1/2 into 1/2
16.646 * [taylor]: Taking taylor expansion of k in k
16.646 * [backup-simplify]: Simplify 0 into 0
16.646 * [backup-simplify]: Simplify 1 into 1
16.646 * [taylor]: Taking taylor expansion of (log PI) in k
16.646 * [taylor]: Taking taylor expansion of PI in k
16.646 * [backup-simplify]: Simplify PI into PI
16.647 * [backup-simplify]: Simplify (log PI) into (log PI)
16.647 * [backup-simplify]: Simplify (* 1/2 0) into 0
16.647 * [backup-simplify]: Simplify (- 0) into 0
16.648 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.649 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
16.651 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
16.651 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
16.651 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
16.651 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
16.651 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
16.651 * [taylor]: Taking taylor expansion of 1/2 in k
16.651 * [backup-simplify]: Simplify 1/2 into 1/2
16.651 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
16.651 * [taylor]: Taking taylor expansion of 1/2 in k
16.651 * [backup-simplify]: Simplify 1/2 into 1/2
16.651 * [taylor]: Taking taylor expansion of k in k
16.651 * [backup-simplify]: Simplify 0 into 0
16.651 * [backup-simplify]: Simplify 1 into 1
16.651 * [taylor]: Taking taylor expansion of (log PI) in k
16.651 * [taylor]: Taking taylor expansion of PI in k
16.651 * [backup-simplify]: Simplify PI into PI
16.651 * [backup-simplify]: Simplify (log PI) into (log PI)
16.652 * [backup-simplify]: Simplify (* 1/2 0) into 0
16.652 * [backup-simplify]: Simplify (- 0) into 0
16.653 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.654 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
16.655 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
16.655 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
16.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
16.656 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
16.657 * [backup-simplify]: Simplify (- 1/2) into -1/2
16.657 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
16.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
16.664 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
16.665 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
16.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
16.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
16.668 * [backup-simplify]: Simplify (- 0) into 0
16.668 * [backup-simplify]: Simplify (+ 0 0) into 0
16.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
16.677 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
16.681 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
16.688 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
16.688 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
16.688 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
16.688 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
16.688 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
16.688 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
16.688 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
16.688 * [taylor]: Taking taylor expansion of 1/2 in k
16.688 * [backup-simplify]: Simplify 1/2 into 1/2
16.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
16.688 * [taylor]: Taking taylor expansion of 1/2 in k
16.688 * [backup-simplify]: Simplify 1/2 into 1/2
16.688 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.688 * [taylor]: Taking taylor expansion of k in k
16.688 * [backup-simplify]: Simplify 0 into 0
16.688 * [backup-simplify]: Simplify 1 into 1
16.689 * [backup-simplify]: Simplify (/ 1 1) into 1
16.689 * [taylor]: Taking taylor expansion of (log PI) in k
16.689 * [taylor]: Taking taylor expansion of PI in k
16.689 * [backup-simplify]: Simplify PI into PI
16.689 * [backup-simplify]: Simplify (log PI) into (log PI)
16.690 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
16.690 * [backup-simplify]: Simplify (- 1/2) into -1/2
16.691 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
16.692 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
16.692 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
16.692 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
16.692 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
16.692 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
16.692 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
16.692 * [taylor]: Taking taylor expansion of 1/2 in k
16.693 * [backup-simplify]: Simplify 1/2 into 1/2
16.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
16.693 * [taylor]: Taking taylor expansion of 1/2 in k
16.693 * [backup-simplify]: Simplify 1/2 into 1/2
16.693 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.693 * [taylor]: Taking taylor expansion of k in k
16.693 * [backup-simplify]: Simplify 0 into 0
16.693 * [backup-simplify]: Simplify 1 into 1
16.693 * [backup-simplify]: Simplify (/ 1 1) into 1
16.693 * [taylor]: Taking taylor expansion of (log PI) in k
16.693 * [taylor]: Taking taylor expansion of PI in k
16.693 * [backup-simplify]: Simplify PI into PI
16.694 * [backup-simplify]: Simplify (log PI) into (log PI)
16.694 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
16.694 * [backup-simplify]: Simplify (- 1/2) into -1/2
16.695 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
16.696 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
16.697 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
16.697 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
16.697 * [backup-simplify]: Simplify 0 into 0
16.697 * [backup-simplify]: Simplify 0 into 0
16.697 * [backup-simplify]: Simplify 0 into 0
16.697 * [backup-simplify]: Simplify 0 into 0
16.697 * [backup-simplify]: Simplify 0 into 0
16.697 * [backup-simplify]: Simplify 0 into 0
16.697 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
16.697 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
16.697 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
16.698 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
16.698 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
16.698 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
16.698 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
16.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
16.698 * [taylor]: Taking taylor expansion of 1/2 in k
16.698 * [backup-simplify]: Simplify 1/2 into 1/2
16.698 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.698 * [taylor]: Taking taylor expansion of k in k
16.698 * [backup-simplify]: Simplify 0 into 0
16.698 * [backup-simplify]: Simplify 1 into 1
16.698 * [backup-simplify]: Simplify (/ 1 1) into 1
16.698 * [taylor]: Taking taylor expansion of 1/2 in k
16.698 * [backup-simplify]: Simplify 1/2 into 1/2
16.698 * [taylor]: Taking taylor expansion of (log PI) in k
16.698 * [taylor]: Taking taylor expansion of PI in k
16.698 * [backup-simplify]: Simplify PI into PI
16.699 * [backup-simplify]: Simplify (log PI) into (log PI)
16.699 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
16.700 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.701 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
16.702 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
16.702 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
16.702 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
16.702 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
16.702 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
16.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
16.702 * [taylor]: Taking taylor expansion of 1/2 in k
16.702 * [backup-simplify]: Simplify 1/2 into 1/2
16.702 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.702 * [taylor]: Taking taylor expansion of k in k
16.702 * [backup-simplify]: Simplify 0 into 0
16.702 * [backup-simplify]: Simplify 1 into 1
16.702 * [backup-simplify]: Simplify (/ 1 1) into 1
16.702 * [taylor]: Taking taylor expansion of 1/2 in k
16.702 * [backup-simplify]: Simplify 1/2 into 1/2
16.702 * [taylor]: Taking taylor expansion of (log PI) in k
16.702 * [taylor]: Taking taylor expansion of PI in k
16.702 * [backup-simplify]: Simplify PI into PI
16.703 * [backup-simplify]: Simplify (log PI) into (log PI)
16.703 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
16.704 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.705 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
16.705 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
16.706 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
16.706 * [backup-simplify]: Simplify 0 into 0
16.706 * [backup-simplify]: Simplify 0 into 0
16.706 * [backup-simplify]: Simplify 0 into 0
16.706 * [backup-simplify]: Simplify 0 into 0
16.706 * [backup-simplify]: Simplify 0 into 0
16.706 * [backup-simplify]: Simplify 0 into 0
16.706 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
16.706 * * * * [progress]: [ 3 / 4 ] generating series at (2)
16.707 * [backup-simplify]: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
16.707 * [approximate]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (n k) around 0
16.707 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
16.707 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
16.707 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
16.707 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
16.707 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
16.707 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
16.707 * [taylor]: Taking taylor expansion of 1/2 in k
16.707 * [backup-simplify]: Simplify 1/2 into 1/2
16.707 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
16.707 * [taylor]: Taking taylor expansion of 1/2 in k
16.707 * [backup-simplify]: Simplify 1/2 into 1/2
16.707 * [taylor]: Taking taylor expansion of k in k
16.707 * [backup-simplify]: Simplify 0 into 0
16.707 * [backup-simplify]: Simplify 1 into 1
16.707 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
16.707 * [taylor]: Taking taylor expansion of (* 2 n) in k
16.707 * [taylor]: Taking taylor expansion of 2 in k
16.707 * [backup-simplify]: Simplify 2 into 2
16.707 * [taylor]: Taking taylor expansion of n in k
16.707 * [backup-simplify]: Simplify n into n
16.707 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
16.708 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
16.708 * [backup-simplify]: Simplify (* 1/2 0) into 0
16.709 * [backup-simplify]: Simplify (- 0) into 0
16.710 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.710 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
16.710 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
16.710 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
16.710 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
16.710 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
16.710 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
16.710 * [taylor]: Taking taylor expansion of 1/2 in k
16.710 * [backup-simplify]: Simplify 1/2 into 1/2
16.710 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
16.710 * [taylor]: Taking taylor expansion of 1/2 in k
16.710 * [backup-simplify]: Simplify 1/2 into 1/2
16.710 * [taylor]: Taking taylor expansion of k in k
16.710 * [backup-simplify]: Simplify 0 into 0
16.710 * [backup-simplify]: Simplify 1 into 1
16.710 * [taylor]: Taking taylor expansion of (log PI) in k
16.710 * [taylor]: Taking taylor expansion of PI in k
16.711 * [backup-simplify]: Simplify PI into PI
16.711 * [backup-simplify]: Simplify (log PI) into (log PI)
16.712 * [backup-simplify]: Simplify (* 1/2 0) into 0
16.712 * [backup-simplify]: Simplify (- 0) into 0
16.713 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.714 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
16.716 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
16.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
16.716 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.716 * [taylor]: Taking taylor expansion of k in k
16.716 * [backup-simplify]: Simplify 0 into 0
16.716 * [backup-simplify]: Simplify 1 into 1
16.716 * [backup-simplify]: Simplify (/ 1 1) into 1
16.717 * [backup-simplify]: Simplify (sqrt 0) into 0
16.718 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
16.718 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
16.718 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
16.718 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
16.719 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
16.719 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
16.719 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
16.719 * [taylor]: Taking taylor expansion of 1/2 in n
16.719 * [backup-simplify]: Simplify 1/2 into 1/2
16.719 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
16.719 * [taylor]: Taking taylor expansion of 1/2 in n
16.719 * [backup-simplify]: Simplify 1/2 into 1/2
16.719 * [taylor]: Taking taylor expansion of k in n
16.719 * [backup-simplify]: Simplify k into k
16.719 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
16.719 * [taylor]: Taking taylor expansion of (* 2 n) in n
16.719 * [taylor]: Taking taylor expansion of 2 in n
16.719 * [backup-simplify]: Simplify 2 into 2
16.719 * [taylor]: Taking taylor expansion of n in n
16.719 * [backup-simplify]: Simplify 0 into 0
16.719 * [backup-simplify]: Simplify 1 into 1
16.719 * [backup-simplify]: Simplify (* 2 0) into 0
16.720 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
16.721 * [backup-simplify]: Simplify (log 2) into (log 2)
16.721 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
16.721 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
16.721 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
16.722 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
16.722 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
16.723 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
16.723 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
16.723 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
16.723 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
16.723 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
16.723 * [taylor]: Taking taylor expansion of 1/2 in n
16.723 * [backup-simplify]: Simplify 1/2 into 1/2
16.723 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
16.723 * [taylor]: Taking taylor expansion of 1/2 in n
16.723 * [backup-simplify]: Simplify 1/2 into 1/2
16.723 * [taylor]: Taking taylor expansion of k in n
16.723 * [backup-simplify]: Simplify k into k
16.723 * [taylor]: Taking taylor expansion of (log PI) in n
16.723 * [taylor]: Taking taylor expansion of PI in n
16.723 * [backup-simplify]: Simplify PI into PI
16.724 * [backup-simplify]: Simplify (log PI) into (log PI)
16.724 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
16.724 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
16.724 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
16.724 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
16.725 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
16.725 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
16.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.725 * [taylor]: Taking taylor expansion of k in n
16.725 * [backup-simplify]: Simplify k into k
16.725 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.725 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
16.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
16.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
16.726 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
16.726 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
16.726 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
16.726 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
16.726 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
16.726 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
16.726 * [taylor]: Taking taylor expansion of 1/2 in n
16.726 * [backup-simplify]: Simplify 1/2 into 1/2
16.726 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
16.726 * [taylor]: Taking taylor expansion of 1/2 in n
16.726 * [backup-simplify]: Simplify 1/2 into 1/2
16.726 * [taylor]: Taking taylor expansion of k in n
16.726 * [backup-simplify]: Simplify k into k
16.726 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
16.726 * [taylor]: Taking taylor expansion of (* 2 n) in n
16.726 * [taylor]: Taking taylor expansion of 2 in n
16.726 * [backup-simplify]: Simplify 2 into 2
16.726 * [taylor]: Taking taylor expansion of n in n
16.726 * [backup-simplify]: Simplify 0 into 0
16.726 * [backup-simplify]: Simplify 1 into 1
16.727 * [backup-simplify]: Simplify (* 2 0) into 0
16.727 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
16.728 * [backup-simplify]: Simplify (log 2) into (log 2)
16.728 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
16.729 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
16.729 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
16.730 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
16.730 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
16.731 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
16.731 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
16.731 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
16.731 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
16.731 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
16.731 * [taylor]: Taking taylor expansion of 1/2 in n
16.731 * [backup-simplify]: Simplify 1/2 into 1/2
16.731 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
16.731 * [taylor]: Taking taylor expansion of 1/2 in n
16.731 * [backup-simplify]: Simplify 1/2 into 1/2
16.731 * [taylor]: Taking taylor expansion of k in n
16.731 * [backup-simplify]: Simplify k into k
16.731 * [taylor]: Taking taylor expansion of (log PI) in n
16.731 * [taylor]: Taking taylor expansion of PI in n
16.731 * [backup-simplify]: Simplify PI into PI
16.732 * [backup-simplify]: Simplify (log PI) into (log PI)
16.732 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
16.732 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
16.732 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
16.733 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
16.733 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
16.733 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
16.733 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.733 * [taylor]: Taking taylor expansion of k in n
16.733 * [backup-simplify]: Simplify k into k
16.733 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.733 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
16.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
16.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
16.734 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
16.735 * [backup-simplify]: Simplify (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))
16.735 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) in k
16.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
16.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.735 * [taylor]: Taking taylor expansion of k in k
16.735 * [backup-simplify]: Simplify 0 into 0
16.735 * [backup-simplify]: Simplify 1 into 1
16.736 * [backup-simplify]: Simplify (/ 1 1) into 1
16.736 * [backup-simplify]: Simplify (sqrt 0) into 0
16.737 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
16.737 * [taylor]: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) in k
16.737 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
16.737 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
16.737 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
16.737 * [taylor]: Taking taylor expansion of (log 2) in k
16.737 * [taylor]: Taking taylor expansion of 2 in k
16.737 * [backup-simplify]: Simplify 2 into 2
16.738 * [backup-simplify]: Simplify (log 2) into (log 2)
16.738 * [taylor]: Taking taylor expansion of (log n) in k
16.738 * [taylor]: Taking taylor expansion of n in k
16.738 * [backup-simplify]: Simplify n into n
16.738 * [backup-simplify]: Simplify (log n) into (log n)
16.738 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
16.738 * [taylor]: Taking taylor expansion of 1/2 in k
16.738 * [backup-simplify]: Simplify 1/2 into 1/2
16.738 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
16.738 * [taylor]: Taking taylor expansion of 1/2 in k
16.738 * [backup-simplify]: Simplify 1/2 into 1/2
16.738 * [taylor]: Taking taylor expansion of k in k
16.738 * [backup-simplify]: Simplify 0 into 0
16.738 * [backup-simplify]: Simplify 1 into 1
16.739 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
16.739 * [backup-simplify]: Simplify (* 1/2 0) into 0
16.739 * [backup-simplify]: Simplify (- 0) into 0
16.740 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.740 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
16.741 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
16.741 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
16.741 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
16.741 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
16.741 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
16.741 * [taylor]: Taking taylor expansion of 1/2 in k
16.741 * [backup-simplify]: Simplify 1/2 into 1/2
16.741 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
16.741 * [taylor]: Taking taylor expansion of 1/2 in k
16.741 * [backup-simplify]: Simplify 1/2 into 1/2
16.741 * [taylor]: Taking taylor expansion of k in k
16.741 * [backup-simplify]: Simplify 0 into 0
16.741 * [backup-simplify]: Simplify 1 into 1
16.741 * [taylor]: Taking taylor expansion of (log PI) in k
16.741 * [taylor]: Taking taylor expansion of PI in k
16.741 * [backup-simplify]: Simplify PI into PI
16.742 * [backup-simplify]: Simplify (log PI) into (log PI)
16.742 * [backup-simplify]: Simplify (* 1/2 0) into 0
16.742 * [backup-simplify]: Simplify (- 0) into 0
16.743 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
16.744 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
16.746 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
16.747 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 1/2)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))
16.748 * [backup-simplify]: Simplify (* 0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) into 0
16.748 * [backup-simplify]: Simplify 0 into 0
16.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
16.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
16.750 * [backup-simplify]: Simplify (- 0) into 0
16.750 * [backup-simplify]: Simplify (+ 0 0) into 0
16.751 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
16.751 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
16.752 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
16.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
16.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
16.753 * [backup-simplify]: Simplify (- 0) into 0
16.754 * [backup-simplify]: Simplify (+ 0 0) into 0
16.754 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
16.754 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
16.755 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
16.756 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0
16.756 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0
16.756 * [taylor]: Taking taylor expansion of 0 in k
16.756 * [backup-simplify]: Simplify 0 into 0
16.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
16.757 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
16.758 * [backup-simplify]: Simplify (- 1/2) into -1/2
16.758 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
16.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
16.765 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
16.765 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
16.765 * [backup-simplify]: Simplify (- 1/2) into -1/2
16.766 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
16.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
16.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
16.767 * [backup-simplify]: Simplify (+ 0 0) into 0
16.768 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
16.774 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
16.777 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))
16.780 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
16.781 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
16.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.782 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
16.785 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
16.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
16.786 * [backup-simplify]: Simplify (- 0) into 0
16.787 * [backup-simplify]: Simplify (+ 0 0) into 0
16.788 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
16.790 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.791 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
16.794 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
16.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
16.796 * [backup-simplify]: Simplify (- 0) into 0
16.796 * [backup-simplify]: Simplify (+ 0 0) into 0
16.797 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
16.798 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
16.800 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.800 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0
16.801 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
16.802 * [taylor]: Taking taylor expansion of 0 in k
16.802 * [backup-simplify]: Simplify 0 into 0
16.802 * [backup-simplify]: Simplify 0 into 0
16.805 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
16.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
16.807 * [backup-simplify]: Simplify (- 0) into 0
16.807 * [backup-simplify]: Simplify (+ 0 0) into 0
16.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
16.821 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
16.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
16.822 * [backup-simplify]: Simplify (- 0) into 0
16.823 * [backup-simplify]: Simplify (+ 0 0) into 0
16.825 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
16.826 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
16.827 * [backup-simplify]: Simplify (+ 0 0) into 0
16.827 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
16.829 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
16.836 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow PI 1/2)))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))
16.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.839 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
16.848 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
16.852 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
16.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
16.856 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
16.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
16.857 * [backup-simplify]: Simplify (- 0) into 0
16.857 * [backup-simplify]: Simplify (+ 0 0) into 0
16.858 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
16.860 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
16.861 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
16.867 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
16.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
16.868 * [backup-simplify]: Simplify (- 0) into 0
16.869 * [backup-simplify]: Simplify (+ 0 0) into 0
16.869 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
16.871 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
16.873 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
16.874 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))))) into 0
16.876 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
16.876 * [taylor]: Taking taylor expansion of 0 in k
16.876 * [backup-simplify]: Simplify 0 into 0
16.876 * [backup-simplify]: Simplify 0 into 0
16.876 * [backup-simplify]: Simplify 0 into 0
16.882 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
16.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
16.884 * [backup-simplify]: Simplify (- 0) into 0
16.884 * [backup-simplify]: Simplify (+ 0 0) into 0
16.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
16.907 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
16.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
16.908 * [backup-simplify]: Simplify (- 0) into 0
16.908 * [backup-simplify]: Simplify (+ 0 0) into 0
16.911 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
16.913 * [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
16.913 * [backup-simplify]: Simplify (+ 0 0) into 0
16.914 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0
16.917 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n))))))
16.929 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) (pow PI 1/2))))) into (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))
16.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
16.969 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))) (+ (* +nan.0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
16.981 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
17.008 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
17.009 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow PI (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
17.009 * [approximate]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (n k) around 0
17.009 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
17.009 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
17.009 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
17.009 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
17.009 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
17.009 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.009 * [taylor]: Taking taylor expansion of 1/2 in k
17.009 * [backup-simplify]: Simplify 1/2 into 1/2
17.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.009 * [taylor]: Taking taylor expansion of 1/2 in k
17.009 * [backup-simplify]: Simplify 1/2 into 1/2
17.009 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.009 * [taylor]: Taking taylor expansion of k in k
17.009 * [backup-simplify]: Simplify 0 into 0
17.009 * [backup-simplify]: Simplify 1 into 1
17.009 * [backup-simplify]: Simplify (/ 1 1) into 1
17.010 * [taylor]: Taking taylor expansion of (log PI) in k
17.010 * [taylor]: Taking taylor expansion of PI in k
17.010 * [backup-simplify]: Simplify PI into PI
17.010 * [backup-simplify]: Simplify (log PI) into (log PI)
17.010 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.011 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.011 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.012 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
17.013 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
17.013 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
17.013 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
17.013 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
17.013 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.013 * [taylor]: Taking taylor expansion of 1/2 in k
17.013 * [backup-simplify]: Simplify 1/2 into 1/2
17.013 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.013 * [taylor]: Taking taylor expansion of 1/2 in k
17.013 * [backup-simplify]: Simplify 1/2 into 1/2
17.013 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.013 * [taylor]: Taking taylor expansion of k in k
17.013 * [backup-simplify]: Simplify 0 into 0
17.013 * [backup-simplify]: Simplify 1 into 1
17.013 * [backup-simplify]: Simplify (/ 1 1) into 1
17.014 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
17.014 * [taylor]: Taking taylor expansion of (/ 2 n) in k
17.014 * [taylor]: Taking taylor expansion of 2 in k
17.014 * [backup-simplify]: Simplify 2 into 2
17.014 * [taylor]: Taking taylor expansion of n in k
17.014 * [backup-simplify]: Simplify n into n
17.014 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
17.014 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
17.014 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.015 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.015 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.015 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
17.015 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
17.015 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.015 * [taylor]: Taking taylor expansion of k in k
17.015 * [backup-simplify]: Simplify 0 into 0
17.015 * [backup-simplify]: Simplify 1 into 1
17.016 * [backup-simplify]: Simplify (sqrt 0) into 0
17.017 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.017 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
17.017 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
17.017 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
17.017 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
17.017 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
17.017 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.017 * [taylor]: Taking taylor expansion of 1/2 in n
17.017 * [backup-simplify]: Simplify 1/2 into 1/2
17.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.017 * [taylor]: Taking taylor expansion of 1/2 in n
17.017 * [backup-simplify]: Simplify 1/2 into 1/2
17.017 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.017 * [taylor]: Taking taylor expansion of k in n
17.017 * [backup-simplify]: Simplify k into k
17.017 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.018 * [taylor]: Taking taylor expansion of (log PI) in n
17.018 * [taylor]: Taking taylor expansion of PI in n
17.018 * [backup-simplify]: Simplify PI into PI
17.018 * [backup-simplify]: Simplify (log PI) into (log PI)
17.018 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.018 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
17.018 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
17.019 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
17.019 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
17.019 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
17.019 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
17.019 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
17.019 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.019 * [taylor]: Taking taylor expansion of 1/2 in n
17.019 * [backup-simplify]: Simplify 1/2 into 1/2
17.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.019 * [taylor]: Taking taylor expansion of 1/2 in n
17.019 * [backup-simplify]: Simplify 1/2 into 1/2
17.020 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.020 * [taylor]: Taking taylor expansion of k in n
17.020 * [backup-simplify]: Simplify k into k
17.020 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.020 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
17.020 * [taylor]: Taking taylor expansion of (/ 2 n) in n
17.020 * [taylor]: Taking taylor expansion of 2 in n
17.020 * [backup-simplify]: Simplify 2 into 2
17.020 * [taylor]: Taking taylor expansion of n in n
17.020 * [backup-simplify]: Simplify 0 into 0
17.020 * [backup-simplify]: Simplify 1 into 1
17.020 * [backup-simplify]: Simplify (/ 2 1) into 2
17.021 * [backup-simplify]: Simplify (log 2) into (log 2)
17.021 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.021 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
17.021 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
17.022 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
17.022 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
17.023 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
17.023 * [taylor]: Taking taylor expansion of (sqrt k) in n
17.023 * [taylor]: Taking taylor expansion of k in n
17.023 * [backup-simplify]: Simplify k into k
17.023 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
17.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
17.023 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
17.023 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
17.023 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
17.023 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
17.023 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
17.023 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.023 * [taylor]: Taking taylor expansion of 1/2 in n
17.023 * [backup-simplify]: Simplify 1/2 into 1/2
17.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.023 * [taylor]: Taking taylor expansion of 1/2 in n
17.023 * [backup-simplify]: Simplify 1/2 into 1/2
17.023 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.023 * [taylor]: Taking taylor expansion of k in n
17.023 * [backup-simplify]: Simplify k into k
17.023 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.023 * [taylor]: Taking taylor expansion of (log PI) in n
17.023 * [taylor]: Taking taylor expansion of PI in n
17.023 * [backup-simplify]: Simplify PI into PI
17.024 * [backup-simplify]: Simplify (log PI) into (log PI)
17.024 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.024 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
17.024 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
17.025 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
17.025 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
17.025 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
17.025 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
17.025 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
17.025 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.025 * [taylor]: Taking taylor expansion of 1/2 in n
17.026 * [backup-simplify]: Simplify 1/2 into 1/2
17.026 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.026 * [taylor]: Taking taylor expansion of 1/2 in n
17.026 * [backup-simplify]: Simplify 1/2 into 1/2
17.026 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.026 * [taylor]: Taking taylor expansion of k in n
17.026 * [backup-simplify]: Simplify k into k
17.026 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.026 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
17.026 * [taylor]: Taking taylor expansion of (/ 2 n) in n
17.026 * [taylor]: Taking taylor expansion of 2 in n
17.026 * [backup-simplify]: Simplify 2 into 2
17.026 * [taylor]: Taking taylor expansion of n in n
17.026 * [backup-simplify]: Simplify 0 into 0
17.026 * [backup-simplify]: Simplify 1 into 1
17.026 * [backup-simplify]: Simplify (/ 2 1) into 2
17.027 * [backup-simplify]: Simplify (log 2) into (log 2)
17.027 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.027 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
17.027 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
17.028 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
17.028 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
17.029 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
17.029 * [taylor]: Taking taylor expansion of (sqrt k) in n
17.029 * [taylor]: Taking taylor expansion of k in n
17.029 * [backup-simplify]: Simplify k into k
17.029 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
17.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
17.030 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
17.031 * [backup-simplify]: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (sqrt k)) into (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
17.031 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k
17.031 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.031 * [taylor]: Taking taylor expansion of k in k
17.031 * [backup-simplify]: Simplify 0 into 0
17.031 * [backup-simplify]: Simplify 1 into 1
17.032 * [backup-simplify]: Simplify (sqrt 0) into 0
17.033 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.033 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k
17.033 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
17.033 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
17.033 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
17.033 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.033 * [taylor]: Taking taylor expansion of 1/2 in k
17.033 * [backup-simplify]: Simplify 1/2 into 1/2
17.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.033 * [taylor]: Taking taylor expansion of 1/2 in k
17.034 * [backup-simplify]: Simplify 1/2 into 1/2
17.034 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.034 * [taylor]: Taking taylor expansion of k in k
17.034 * [backup-simplify]: Simplify 0 into 0
17.034 * [backup-simplify]: Simplify 1 into 1
17.034 * [backup-simplify]: Simplify (/ 1 1) into 1
17.034 * [taylor]: Taking taylor expansion of (log PI) in k
17.034 * [taylor]: Taking taylor expansion of PI in k
17.034 * [backup-simplify]: Simplify PI into PI
17.035 * [backup-simplify]: Simplify (log PI) into (log PI)
17.035 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.036 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.036 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.037 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
17.038 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
17.038 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
17.038 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
17.038 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.038 * [taylor]: Taking taylor expansion of 1/2 in k
17.038 * [backup-simplify]: Simplify 1/2 into 1/2
17.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.038 * [taylor]: Taking taylor expansion of 1/2 in k
17.038 * [backup-simplify]: Simplify 1/2 into 1/2
17.038 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.038 * [taylor]: Taking taylor expansion of k in k
17.038 * [backup-simplify]: Simplify 0 into 0
17.038 * [backup-simplify]: Simplify 1 into 1
17.038 * [backup-simplify]: Simplify (/ 1 1) into 1
17.038 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
17.038 * [taylor]: Taking taylor expansion of (log 2) in k
17.039 * [taylor]: Taking taylor expansion of 2 in k
17.039 * [backup-simplify]: Simplify 2 into 2
17.039 * [backup-simplify]: Simplify (log 2) into (log 2)
17.039 * [taylor]: Taking taylor expansion of (log n) in k
17.039 * [taylor]: Taking taylor expansion of n in k
17.039 * [backup-simplify]: Simplify n into n
17.039 * [backup-simplify]: Simplify (log n) into (log n)
17.040 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.040 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.040 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.040 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.041 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
17.041 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
17.042 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
17.043 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
17.043 * [backup-simplify]: Simplify (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
17.043 * [backup-simplify]: Simplify 0 into 0
17.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
17.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
17.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
17.047 * [backup-simplify]: Simplify (- 0) into 0
17.048 * [backup-simplify]: Simplify (+ 0 0) into 0
17.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
17.050 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
17.052 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
17.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
17.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
17.054 * [backup-simplify]: Simplify (- 0) into 0
17.055 * [backup-simplify]: Simplify (+ 0 0) into 0
17.055 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
17.056 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
17.056 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
17.057 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (* 0 (sqrt k))) into 0
17.057 * [taylor]: Taking taylor expansion of 0 in k
17.057 * [backup-simplify]: Simplify 0 into 0
17.057 * [backup-simplify]: Simplify 0 into 0
17.057 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
17.058 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
17.058 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
17.059 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
17.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
17.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
17.062 * [backup-simplify]: Simplify (- 0) into 0
17.062 * [backup-simplify]: Simplify (+ 0 0) into 0
17.063 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
17.063 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
17.064 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.066 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
17.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
17.067 * [backup-simplify]: Simplify (- 0) into 0
17.067 * [backup-simplify]: Simplify (+ 0 0) into 0
17.068 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
17.069 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.069 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
17.070 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
17.070 * [taylor]: Taking taylor expansion of 0 in k
17.070 * [backup-simplify]: Simplify 0 into 0
17.070 * [backup-simplify]: Simplify 0 into 0
17.070 * [backup-simplify]: Simplify 0 into 0
17.071 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
17.072 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
17.074 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
17.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
17.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.077 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
17.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
17.078 * [backup-simplify]: Simplify (- 0) into 0
17.079 * [backup-simplify]: Simplify (+ 0 0) into 0
17.079 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
17.080 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
17.081 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.086 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
17.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
17.088 * [backup-simplify]: Simplify (- 0) into 0
17.089 * [backup-simplify]: Simplify (+ 0 0) into 0
17.090 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
17.093 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.094 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
17.095 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
17.096 * [taylor]: Taking taylor expansion of 0 in k
17.096 * [backup-simplify]: Simplify 0 into 0
17.096 * [backup-simplify]: Simplify 0 into 0
17.096 * [backup-simplify]: Simplify 0 into 0
17.096 * [backup-simplify]: Simplify 0 into 0
17.097 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
17.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
17.102 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
17.103 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
17.103 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow PI (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
17.103 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (n k) around 0
17.104 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
17.104 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
17.104 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
17.104 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
17.104 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
17.104 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.104 * [taylor]: Taking taylor expansion of 1/2 in k
17.104 * [backup-simplify]: Simplify 1/2 into 1/2
17.104 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.104 * [taylor]: Taking taylor expansion of k in k
17.104 * [backup-simplify]: Simplify 0 into 0
17.104 * [backup-simplify]: Simplify 1 into 1
17.104 * [backup-simplify]: Simplify (/ 1 1) into 1
17.104 * [taylor]: Taking taylor expansion of 1/2 in k
17.104 * [backup-simplify]: Simplify 1/2 into 1/2
17.104 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
17.104 * [taylor]: Taking taylor expansion of (/ -2 n) in k
17.104 * [taylor]: Taking taylor expansion of -2 in k
17.104 * [backup-simplify]: Simplify -2 into -2
17.104 * [taylor]: Taking taylor expansion of n in k
17.104 * [backup-simplify]: Simplify n into n
17.104 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
17.104 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
17.104 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.105 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.105 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
17.105 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
17.105 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
17.105 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
17.105 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
17.105 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.105 * [taylor]: Taking taylor expansion of 1/2 in k
17.105 * [backup-simplify]: Simplify 1/2 into 1/2
17.105 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.105 * [taylor]: Taking taylor expansion of k in k
17.105 * [backup-simplify]: Simplify 0 into 0
17.105 * [backup-simplify]: Simplify 1 into 1
17.105 * [backup-simplify]: Simplify (/ 1 1) into 1
17.105 * [taylor]: Taking taylor expansion of 1/2 in k
17.105 * [backup-simplify]: Simplify 1/2 into 1/2
17.105 * [taylor]: Taking taylor expansion of (log PI) in k
17.105 * [taylor]: Taking taylor expansion of PI in k
17.105 * [backup-simplify]: Simplify PI into PI
17.106 * [backup-simplify]: Simplify (log PI) into (log PI)
17.106 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.106 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.107 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
17.107 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
17.107 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.107 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.107 * [taylor]: Taking taylor expansion of -1 in k
17.107 * [backup-simplify]: Simplify -1 into -1
17.107 * [taylor]: Taking taylor expansion of k in k
17.107 * [backup-simplify]: Simplify 0 into 0
17.107 * [backup-simplify]: Simplify 1 into 1
17.111 * [backup-simplify]: Simplify (/ -1 1) into -1
17.112 * [backup-simplify]: Simplify (sqrt 0) into 0
17.112 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.113 * [backup-simplify]: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
17.113 * [backup-simplify]: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
17.113 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
17.113 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
17.113 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
17.113 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
17.113 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
17.113 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
17.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.113 * [taylor]: Taking taylor expansion of 1/2 in n
17.113 * [backup-simplify]: Simplify 1/2 into 1/2
17.113 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.113 * [taylor]: Taking taylor expansion of k in n
17.113 * [backup-simplify]: Simplify k into k
17.113 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.113 * [taylor]: Taking taylor expansion of 1/2 in n
17.113 * [backup-simplify]: Simplify 1/2 into 1/2
17.113 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
17.113 * [taylor]: Taking taylor expansion of (/ -2 n) in n
17.113 * [taylor]: Taking taylor expansion of -2 in n
17.113 * [backup-simplify]: Simplify -2 into -2
17.113 * [taylor]: Taking taylor expansion of n in n
17.113 * [backup-simplify]: Simplify 0 into 0
17.113 * [backup-simplify]: Simplify 1 into 1
17.113 * [backup-simplify]: Simplify (/ -2 1) into -2
17.114 * [backup-simplify]: Simplify (log -2) into (log -2)
17.114 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.114 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
17.114 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
17.115 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
17.115 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
17.115 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
17.115 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
17.115 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
17.115 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
17.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.115 * [taylor]: Taking taylor expansion of 1/2 in n
17.115 * [backup-simplify]: Simplify 1/2 into 1/2
17.115 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.115 * [taylor]: Taking taylor expansion of k in n
17.115 * [backup-simplify]: Simplify k into k
17.115 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.115 * [taylor]: Taking taylor expansion of 1/2 in n
17.115 * [backup-simplify]: Simplify 1/2 into 1/2
17.115 * [taylor]: Taking taylor expansion of (log PI) in n
17.115 * [taylor]: Taking taylor expansion of PI in n
17.115 * [backup-simplify]: Simplify PI into PI
17.115 * [backup-simplify]: Simplify (log PI) into (log PI)
17.116 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.116 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
17.116 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
17.116 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
17.116 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
17.116 * [taylor]: Taking taylor expansion of (/ -1 k) in n
17.116 * [taylor]: Taking taylor expansion of -1 in n
17.116 * [backup-simplify]: Simplify -1 into -1
17.116 * [taylor]: Taking taylor expansion of k in n
17.116 * [backup-simplify]: Simplify k into k
17.116 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
17.116 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
17.116 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
17.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
17.117 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
17.117 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
17.117 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
17.117 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
17.117 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
17.117 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
17.117 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
17.117 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
17.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.117 * [taylor]: Taking taylor expansion of 1/2 in n
17.117 * [backup-simplify]: Simplify 1/2 into 1/2
17.118 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.118 * [taylor]: Taking taylor expansion of k in n
17.118 * [backup-simplify]: Simplify k into k
17.118 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.118 * [taylor]: Taking taylor expansion of 1/2 in n
17.118 * [backup-simplify]: Simplify 1/2 into 1/2
17.118 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
17.118 * [taylor]: Taking taylor expansion of (/ -2 n) in n
17.118 * [taylor]: Taking taylor expansion of -2 in n
17.118 * [backup-simplify]: Simplify -2 into -2
17.118 * [taylor]: Taking taylor expansion of n in n
17.118 * [backup-simplify]: Simplify 0 into 0
17.118 * [backup-simplify]: Simplify 1 into 1
17.118 * [backup-simplify]: Simplify (/ -2 1) into -2
17.118 * [backup-simplify]: Simplify (log -2) into (log -2)
17.118 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.118 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
17.119 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
17.119 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
17.119 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
17.119 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
17.120 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
17.120 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
17.120 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
17.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.120 * [taylor]: Taking taylor expansion of 1/2 in n
17.120 * [backup-simplify]: Simplify 1/2 into 1/2
17.120 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.120 * [taylor]: Taking taylor expansion of k in n
17.120 * [backup-simplify]: Simplify k into k
17.120 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.120 * [taylor]: Taking taylor expansion of 1/2 in n
17.120 * [backup-simplify]: Simplify 1/2 into 1/2
17.120 * [taylor]: Taking taylor expansion of (log PI) in n
17.120 * [taylor]: Taking taylor expansion of PI in n
17.120 * [backup-simplify]: Simplify PI into PI
17.120 * [backup-simplify]: Simplify (log PI) into (log PI)
17.120 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.120 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
17.120 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
17.121 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
17.121 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
17.121 * [taylor]: Taking taylor expansion of (/ -1 k) in n
17.121 * [taylor]: Taking taylor expansion of -1 in n
17.121 * [backup-simplify]: Simplify -1 into -1
17.121 * [taylor]: Taking taylor expansion of k in n
17.121 * [backup-simplify]: Simplify k into k
17.121 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
17.121 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
17.121 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
17.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
17.121 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
17.122 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
17.122 * [taylor]: Taking taylor expansion of (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
17.122 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
17.122 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
17.122 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
17.122 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.122 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.122 * [taylor]: Taking taylor expansion of 1/2 in k
17.122 * [backup-simplify]: Simplify 1/2 into 1/2
17.122 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.122 * [taylor]: Taking taylor expansion of k in k
17.122 * [backup-simplify]: Simplify 0 into 0
17.122 * [backup-simplify]: Simplify 1 into 1
17.122 * [backup-simplify]: Simplify (/ 1 1) into 1
17.122 * [taylor]: Taking taylor expansion of 1/2 in k
17.122 * [backup-simplify]: Simplify 1/2 into 1/2
17.122 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
17.123 * [taylor]: Taking taylor expansion of (log -2) in k
17.123 * [taylor]: Taking taylor expansion of -2 in k
17.123 * [backup-simplify]: Simplify -2 into -2
17.123 * [backup-simplify]: Simplify (log -2) into (log -2)
17.123 * [taylor]: Taking taylor expansion of (log n) in k
17.123 * [taylor]: Taking taylor expansion of n in k
17.123 * [backup-simplify]: Simplify n into n
17.123 * [backup-simplify]: Simplify (log n) into (log n)
17.123 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.123 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.123 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.124 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
17.124 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
17.124 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
17.124 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
17.124 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
17.124 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
17.124 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.124 * [taylor]: Taking taylor expansion of 1/2 in k
17.124 * [backup-simplify]: Simplify 1/2 into 1/2
17.124 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.124 * [taylor]: Taking taylor expansion of k in k
17.124 * [backup-simplify]: Simplify 0 into 0
17.124 * [backup-simplify]: Simplify 1 into 1
17.125 * [backup-simplify]: Simplify (/ 1 1) into 1
17.125 * [taylor]: Taking taylor expansion of 1/2 in k
17.125 * [backup-simplify]: Simplify 1/2 into 1/2
17.125 * [taylor]: Taking taylor expansion of (log PI) in k
17.125 * [taylor]: Taking taylor expansion of PI in k
17.125 * [backup-simplify]: Simplify PI into PI
17.125 * [backup-simplify]: Simplify (log PI) into (log PI)
17.125 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.126 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.126 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
17.127 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
17.127 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.127 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.127 * [taylor]: Taking taylor expansion of -1 in k
17.127 * [backup-simplify]: Simplify -1 into -1
17.127 * [taylor]: Taking taylor expansion of k in k
17.127 * [backup-simplify]: Simplify 0 into 0
17.127 * [backup-simplify]: Simplify 1 into 1
17.127 * [backup-simplify]: Simplify (/ -1 1) into -1
17.127 * [backup-simplify]: Simplify (sqrt 0) into 0
17.128 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.128 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
17.129 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
17.129 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
17.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
17.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
17.132 * [backup-simplify]: Simplify (+ 0 0) into 0
17.132 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
17.134 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
17.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
17.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
17.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
17.137 * [backup-simplify]: Simplify (+ 0 0) into 0
17.138 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
17.138 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
17.140 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
17.140 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
17.141 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
17.141 * [taylor]: Taking taylor expansion of 0 in k
17.141 * [backup-simplify]: Simplify 0 into 0
17.141 * [backup-simplify]: Simplify 0 into 0
17.142 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
17.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.147 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.148 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
17.149 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
17.153 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
17.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
17.154 * [backup-simplify]: Simplify (+ 0 0) into 0
17.155 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
17.157 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
17.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
17.163 * [backup-simplify]: Simplify (+ 0 0) into 0
17.164 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
17.164 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
17.166 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.167 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
17.167 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.167 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
17.168 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
17.168 * [taylor]: Taking taylor expansion of 0 in k
17.168 * [backup-simplify]: Simplify 0 into 0
17.168 * [backup-simplify]: Simplify 0 into 0
17.168 * [backup-simplify]: Simplify 0 into 0
17.169 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
17.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.173 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
17.173 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
17.175 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
17.175 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
17.175 * [backup-simplify]: Simplify (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) into (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
17.175 * [approximate]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in (k) around 0
17.175 * [taylor]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in k
17.175 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 k)))) in k
17.175 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
17.175 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
17.175 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
17.175 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.175 * [taylor]: Taking taylor expansion of 1/2 in k
17.176 * [backup-simplify]: Simplify 1/2 into 1/2
17.176 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.176 * [taylor]: Taking taylor expansion of 1/2 in k
17.176 * [backup-simplify]: Simplify 1/2 into 1/2
17.176 * [taylor]: Taking taylor expansion of k in k
17.176 * [backup-simplify]: Simplify 0 into 0
17.176 * [backup-simplify]: Simplify 1 into 1
17.176 * [taylor]: Taking taylor expansion of (log PI) in k
17.176 * [taylor]: Taking taylor expansion of PI in k
17.176 * [backup-simplify]: Simplify PI into PI
17.176 * [backup-simplify]: Simplify (log PI) into (log PI)
17.176 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.176 * [backup-simplify]: Simplify (- 0) into 0
17.177 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.177 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
17.178 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
17.179 * [backup-simplify]: Simplify (/ 1 (pow PI 1/2)) into (sqrt (/ 1 PI))
17.179 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.179 * [taylor]: Taking taylor expansion of k in k
17.179 * [backup-simplify]: Simplify 0 into 0
17.179 * [backup-simplify]: Simplify 1 into 1
17.179 * [backup-simplify]: Simplify (sqrt 0) into 0
17.180 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.180 * [taylor]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in k
17.180 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 k)))) in k
17.180 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
17.180 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
17.180 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
17.180 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.180 * [taylor]: Taking taylor expansion of 1/2 in k
17.180 * [backup-simplify]: Simplify 1/2 into 1/2
17.180 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.180 * [taylor]: Taking taylor expansion of 1/2 in k
17.180 * [backup-simplify]: Simplify 1/2 into 1/2
17.180 * [taylor]: Taking taylor expansion of k in k
17.180 * [backup-simplify]: Simplify 0 into 0
17.180 * [backup-simplify]: Simplify 1 into 1
17.180 * [taylor]: Taking taylor expansion of (log PI) in k
17.180 * [taylor]: Taking taylor expansion of PI in k
17.180 * [backup-simplify]: Simplify PI into PI
17.181 * [backup-simplify]: Simplify (log PI) into (log PI)
17.181 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.181 * [backup-simplify]: Simplify (- 0) into 0
17.181 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.182 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
17.183 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
17.184 * [backup-simplify]: Simplify (/ 1 (pow PI 1/2)) into (sqrt (/ 1 PI))
17.184 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.184 * [taylor]: Taking taylor expansion of k in k
17.184 * [backup-simplify]: Simplify 0 into 0
17.184 * [backup-simplify]: Simplify 1 into 1
17.184 * [backup-simplify]: Simplify (sqrt 0) into 0
17.185 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.185 * [backup-simplify]: Simplify (* (sqrt (/ 1 PI)) 0) into 0
17.185 * [backup-simplify]: Simplify 0 into 0
17.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
17.188 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.188 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.189 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
17.201 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
17.213 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 PI)) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/2 (* (log PI) (sqrt (/ 1 PI))))
17.218 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 PI)) +nan.0) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) 0)) into (- (* +nan.0 (sqrt (/ 1 PI))))
17.221 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (/ 1 PI)))) into (- (* +nan.0 (sqrt (/ 1 PI))))
17.225 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.228 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
17.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
17.229 * [backup-simplify]: Simplify (- 0) into 0
17.230 * [backup-simplify]: Simplify (+ 0 0) into 0
17.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
17.249 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
17.265 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 PI)) (/ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow PI 1/2))) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI))))
17.275 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 PI)) +nan.0) (+ (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) +nan.0) (* (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) 0))) into (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI))))))
17.282 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))) into (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI))))))
17.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.292 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
17.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
17.294 * [backup-simplify]: Simplify (- 0) into 0
17.295 * [backup-simplify]: Simplify (+ 0 0) into 0
17.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
17.312 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
17.338 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 PI)) (/ (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (pow PI 1/2))) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (/ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow PI 1/2))) (* (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/48 (* (pow (log PI) 3) (sqrt (/ 1 PI))))
17.368 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 PI)) +nan.0) (+ (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) +nan.0) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) +nan.0) (* (* 1/48 (* (pow (log PI) 3) (sqrt (/ 1 PI)))) 0)))) into (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI))))))))
17.381 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))))) into (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI))))))))
17.410 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))) (pow k 2)) (* (- (* +nan.0 (sqrt (/ 1 PI)))) k))) into (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 3))) (- (+ (* +nan.0 (* (* (log PI) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 2))))))))))))))
17.410 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow PI (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
17.410 * [approximate]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k) around 0
17.410 * [taylor]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
17.410 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k
17.410 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
17.410 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
17.410 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
17.410 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.410 * [taylor]: Taking taylor expansion of 1/2 in k
17.410 * [backup-simplify]: Simplify 1/2 into 1/2
17.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.410 * [taylor]: Taking taylor expansion of 1/2 in k
17.411 * [backup-simplify]: Simplify 1/2 into 1/2
17.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.411 * [taylor]: Taking taylor expansion of k in k
17.411 * [backup-simplify]: Simplify 0 into 0
17.411 * [backup-simplify]: Simplify 1 into 1
17.411 * [backup-simplify]: Simplify (/ 1 1) into 1
17.411 * [taylor]: Taking taylor expansion of (log PI) in k
17.411 * [taylor]: Taking taylor expansion of PI in k
17.411 * [backup-simplify]: Simplify PI into PI
17.411 * [backup-simplify]: Simplify (log PI) into (log PI)
17.411 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.412 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.412 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.413 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
17.413 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
17.413 * [backup-simplify]: Simplify (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
17.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.413 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.413 * [taylor]: Taking taylor expansion of k in k
17.413 * [backup-simplify]: Simplify 0 into 0
17.413 * [backup-simplify]: Simplify 1 into 1
17.413 * [backup-simplify]: Simplify (/ 1 1) into 1
17.414 * [backup-simplify]: Simplify (sqrt 0) into 0
17.415 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.415 * [taylor]: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
17.415 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k
17.415 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
17.415 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
17.415 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
17.415 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.415 * [taylor]: Taking taylor expansion of 1/2 in k
17.415 * [backup-simplify]: Simplify 1/2 into 1/2
17.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.415 * [taylor]: Taking taylor expansion of 1/2 in k
17.415 * [backup-simplify]: Simplify 1/2 into 1/2
17.415 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.415 * [taylor]: Taking taylor expansion of k in k
17.415 * [backup-simplify]: Simplify 0 into 0
17.415 * [backup-simplify]: Simplify 1 into 1
17.415 * [backup-simplify]: Simplify (/ 1 1) into 1
17.415 * [taylor]: Taking taylor expansion of (log PI) in k
17.415 * [taylor]: Taking taylor expansion of PI in k
17.415 * [backup-simplify]: Simplify PI into PI
17.416 * [backup-simplify]: Simplify (log PI) into (log PI)
17.416 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.416 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.416 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.417 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
17.418 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
17.418 * [backup-simplify]: Simplify (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
17.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.418 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.418 * [taylor]: Taking taylor expansion of k in k
17.418 * [backup-simplify]: Simplify 0 into 0
17.418 * [backup-simplify]: Simplify 1 into 1
17.418 * [backup-simplify]: Simplify (/ 1 1) into 1
17.418 * [backup-simplify]: Simplify (sqrt 0) into 0
17.419 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.419 * [backup-simplify]: Simplify (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
17.419 * [backup-simplify]: Simplify 0 into 0
17.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
17.420 * [backup-simplify]: Simplify (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
17.420 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
17.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.423 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
17.423 * [backup-simplify]: Simplify (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
17.423 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
17.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
17.428 * [backup-simplify]: Simplify (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
17.428 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
17.428 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (/ 1 k)) (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))))) into (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))
17.429 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
17.429 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k) around 0
17.429 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
17.429 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.429 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.429 * [taylor]: Taking taylor expansion of -1 in k
17.429 * [backup-simplify]: Simplify -1 into -1
17.429 * [taylor]: Taking taylor expansion of k in k
17.429 * [backup-simplify]: Simplify 0 into 0
17.429 * [backup-simplify]: Simplify 1 into 1
17.429 * [backup-simplify]: Simplify (/ -1 1) into -1
17.429 * [backup-simplify]: Simplify (sqrt 0) into 0
17.430 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.430 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
17.430 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
17.430 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
17.430 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.430 * [taylor]: Taking taylor expansion of 1/2 in k
17.430 * [backup-simplify]: Simplify 1/2 into 1/2
17.430 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.430 * [taylor]: Taking taylor expansion of k in k
17.430 * [backup-simplify]: Simplify 0 into 0
17.430 * [backup-simplify]: Simplify 1 into 1
17.431 * [backup-simplify]: Simplify (/ 1 1) into 1
17.431 * [taylor]: Taking taylor expansion of 1/2 in k
17.431 * [backup-simplify]: Simplify 1/2 into 1/2
17.431 * [taylor]: Taking taylor expansion of (log PI) in k
17.431 * [taylor]: Taking taylor expansion of PI in k
17.431 * [backup-simplify]: Simplify PI into PI
17.431 * [backup-simplify]: Simplify (log PI) into (log PI)
17.431 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.432 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.433 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
17.433 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
17.433 * [backup-simplify]: Simplify (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
17.434 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
17.434 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.434 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.434 * [taylor]: Taking taylor expansion of -1 in k
17.434 * [backup-simplify]: Simplify -1 into -1
17.434 * [taylor]: Taking taylor expansion of k in k
17.434 * [backup-simplify]: Simplify 0 into 0
17.434 * [backup-simplify]: Simplify 1 into 1
17.434 * [backup-simplify]: Simplify (/ -1 1) into -1
17.434 * [backup-simplify]: Simplify (sqrt 0) into 0
17.435 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.435 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
17.435 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
17.435 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
17.435 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.435 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.435 * [taylor]: Taking taylor expansion of 1/2 in k
17.435 * [backup-simplify]: Simplify 1/2 into 1/2
17.435 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.435 * [taylor]: Taking taylor expansion of k in k
17.435 * [backup-simplify]: Simplify 0 into 0
17.435 * [backup-simplify]: Simplify 1 into 1
17.436 * [backup-simplify]: Simplify (/ 1 1) into 1
17.436 * [taylor]: Taking taylor expansion of 1/2 in k
17.436 * [backup-simplify]: Simplify 1/2 into 1/2
17.436 * [taylor]: Taking taylor expansion of (log PI) in k
17.436 * [taylor]: Taking taylor expansion of PI in k
17.436 * [backup-simplify]: Simplify PI into PI
17.436 * [backup-simplify]: Simplify (log PI) into (log PI)
17.436 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.437 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.437 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
17.438 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
17.438 * [backup-simplify]: Simplify (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
17.438 * [backup-simplify]: Simplify (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
17.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.440 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.440 * [backup-simplify]: Simplify (- (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
17.441 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
17.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.445 * [backup-simplify]: Simplify (- (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
17.445 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
17.445 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (/ 1 (- k))) (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) into (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))
17.445 * * * [progress]: simplifying candidates
17.445 * * * * [progress]: [ 1 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.445 * * * * [progress]: [ 2 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.445 * * * * [progress]: [ 3 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.445 * * * * [progress]: [ 4 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.445 * * * * [progress]: [ 5 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 6 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 7 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 8 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 9 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 10 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 11 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 12 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 13 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 14 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 15 / 655 ] 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))))))>
17.446 * * * * [progress]: [ 16 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 17 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 18 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 19 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 20 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 21 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 22 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 23 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 24 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.446 * * * * [progress]: [ 25 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log PI) (- 1/2 (/ k 2)))))))>
17.446 * * * * [progress]: [ 26 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log PI) (- 1/2 (/ k 2)))))))>
17.446 * * * * [progress]: [ 27 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (* 1 (- 1/2 (/ k 2)))))))>
17.446 * * * * [progress]: [ 28 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (/ (pow PI 1/2) (pow PI (/ k 2))))))>
17.447 * * * * [progress]: [ 29 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
17.447 * * * * [progress]: [ 30 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
17.447 * * * * [progress]: [ 31 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI 1) (- 1/2 (/ k 2))))))>
17.447 * * * * [progress]: [ 32 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))))>
17.447 * * * * [progress]: [ 33 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))))))>
17.447 * * * * [progress]: [ 34 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI 1) (- 1/2 (/ k 2))))))>
17.447 * * * * [progress]: [ 35 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow PI 1/2) (pow PI (- (/ k 2)))))))>
17.447 * * * * [progress]: [ 36 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow PI 1/2) (pow PI (- (/ k 2)))))))>
17.447 * * * * [progress]: [ 37 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.447 * * * * [progress]: [ 38 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.447 * * * * [progress]: [ 39 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow 1 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
17.447 * * * * [progress]: [ 40 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (- 1/2 (/ k 2))) 1))))>
17.447 * * * * [progress]: [ 41 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (exp (log (pow PI (- 1/2 (/ k 2))))))))>
17.447 * * * * [progress]: [ 42 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (log (exp (pow PI (- 1/2 (/ k 2))))))))>
17.447 * * * * [progress]: [ 43 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.447 * * * * [progress]: [ 44 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))))>
17.447 * * * * [progress]: [ 45 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.447 * * * * [progress]: [ 46 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* 1 (pow PI (- 1/2 (/ k 2)))))))>
17.447 * * * * [progress]: [ 47 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow PI (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.447 * * * * [progress]: [ 48 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (posit16->real (real->posit16 (pow PI (- 1/2 (/ k 2))))))))>
17.447 * * * * [progress]: [ 49 / 655 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1))>
17.447 * * * * [progress]: [ 50 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
17.447 * * * * [progress]: [ 51 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
17.447 * * * * [progress]: [ 52 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 53 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 54 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
17.448 * * * * [progress]: [ 55 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
17.448 * * * * [progress]: [ 56 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 57 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 58 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
17.448 * * * * [progress]: [ 59 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
17.448 * * * * [progress]: [ 60 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 61 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 62 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
17.448 * * * * [progress]: [ 63 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
17.448 * * * * [progress]: [ 64 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 65 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 66 / 655 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 67 / 655 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 68 / 655 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 69 / 655 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 70 / 655 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 71 / 655 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 72 / 655 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 73 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n 2) (- 1/2 (/ k 2)))) (- (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.448 * * * * [progress]: [ 74 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 75 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.448 * * * * [progress]: [ 76 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.449 * * * * [progress]: [ 77 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.449 * * * * [progress]: [ 78 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.449 * * * * [progress]: [ 79 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.449 * * * * [progress]: [ 80 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.449 * * * * [progress]: [ 81 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.449 * * * * [progress]: [ 82 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.449 * * * * [progress]: [ 83 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.449 * * * * [progress]: [ 84 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.449 * * * * [progress]: [ 85 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.449 * * * * [progress]: [ 86 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.449 * * * * [progress]: [ 87 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.449 * * * * [progress]: [ 88 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.449 * * * * [progress]: [ 89 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.449 * * * * [progress]: [ 90 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.449 * * * * [progress]: [ 91 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.449 * * * * [progress]: [ 92 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.449 * * * * [progress]: [ 93 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.449 * * * * [progress]: [ 94 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.449 * * * * [progress]: [ 95 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.449 * * * * [progress]: [ 96 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.449 * * * * [progress]: [ 97 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.450 * * * * [progress]: [ 98 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.450 * * * * [progress]: [ 99 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.450 * * * * [progress]: [ 100 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.450 * * * * [progress]: [ 101 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.450 * * * * [progress]: [ 102 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.450 * * * * [progress]: [ 103 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.450 * * * * [progress]: [ 104 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.450 * * * * [progress]: [ 105 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.450 * * * * [progress]: [ 106 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.450 * * * * [progress]: [ 107 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.450 * * * * [progress]: [ 108 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.450 * * * * [progress]: [ 109 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.450 * * * * [progress]: [ 110 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.450 * * * * [progress]: [ 111 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.450 * * * * [progress]: [ 112 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.450 * * * * [progress]: [ 113 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.450 * * * * [progress]: [ 114 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.450 * * * * [progress]: [ 115 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.450 * * * * [progress]: [ 116 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.450 * * * * [progress]: [ 117 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.450 * * * * [progress]: [ 118 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.451 * * * * [progress]: [ 119 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.451 * * * * [progress]: [ 120 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.451 * * * * [progress]: [ 121 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.451 * * * * [progress]: [ 122 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.451 * * * * [progress]: [ 123 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.451 * * * * [progress]: [ 124 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.451 * * * * [progress]: [ 125 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.451 * * * * [progress]: [ 126 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.451 * * * * [progress]: [ 127 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.451 * * * * [progress]: [ 128 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.451 * * * * [progress]: [ 129 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.451 * * * * [progress]: [ 130 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) 1) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.451 * * * * [progress]: [ 131 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
17.451 * * * * [progress]: [ 132 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt k) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2)))))>
17.451 * * * * [progress]: [ 133 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.451 * * * * [progress]: [ 134 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.451 * * * * [progress]: [ 135 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.451 * * * * [progress]: [ 136 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.451 * * * * [progress]: [ 137 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.451 * * * * [progress]: [ 138 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.451 * * * * [progress]: [ 139 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.451 * * * * [progress]: [ 140 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.451 * * * * [progress]: [ 141 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.452 * * * * [progress]: [ 142 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.452 * * * * [progress]: [ 143 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.452 * * * * [progress]: [ 144 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.452 * * * * [progress]: [ 145 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.452 * * * * [progress]: [ 146 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.452 * * * * [progress]: [ 147 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.452 * * * * [progress]: [ 148 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.452 * * * * [progress]: [ 149 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.452 * * * * [progress]: [ 150 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.452 * * * * [progress]: [ 151 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.452 * * * * [progress]: [ 152 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.452 * * * * [progress]: [ 153 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.452 * * * * [progress]: [ 154 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.452 * * * * [progress]: [ 155 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.452 * * * * [progress]: [ 156 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.452 * * * * [progress]: [ 157 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.452 * * * * [progress]: [ 158 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.452 * * * * [progress]: [ 159 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.452 * * * * [progress]: [ 160 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.452 * * * * [progress]: [ 161 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.452 * * * * [progress]: [ 162 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.453 * * * * [progress]: [ 163 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.453 * * * * [progress]: [ 164 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.453 * * * * [progress]: [ 165 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.453 * * * * [progress]: [ 166 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.453 * * * * [progress]: [ 167 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.453 * * * * [progress]: [ 168 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.453 * * * * [progress]: [ 169 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.453 * * * * [progress]: [ 170 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.453 * * * * [progress]: [ 171 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.453 * * * * [progress]: [ 172 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.453 * * * * [progress]: [ 173 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.453 * * * * [progress]: [ 174 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.453 * * * * [progress]: [ 175 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.453 * * * * [progress]: [ 176 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.453 * * * * [progress]: [ 177 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.453 * * * * [progress]: [ 178 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.453 * * * * [progress]: [ 179 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.453 * * * * [progress]: [ 180 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.453 * * * * [progress]: [ 181 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.453 * * * * [progress]: [ 182 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.453 * * * * [progress]: [ 183 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.453 * * * * [progress]: [ 184 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.454 * * * * [progress]: [ 185 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.454 * * * * [progress]: [ 186 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.454 * * * * [progress]: [ 187 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 1)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.454 * * * * [progress]: [ 188 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.454 * * * * [progress]: [ 189 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) 1) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.454 * * * * [progress]: [ 190 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
17.454 * * * * [progress]: [ 191 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (/ (sqrt k) (pow PI 1/2))) (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2)))))>
17.454 * * * * [progress]: [ 192 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.454 * * * * [progress]: [ 193 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.454 * * * * [progress]: [ 194 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.454 * * * * [progress]: [ 195 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.454 * * * * [progress]: [ 196 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.454 * * * * [progress]: [ 197 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.454 * * * * [progress]: [ 198 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.454 * * * * [progress]: [ 199 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.454 * * * * [progress]: [ 200 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.454 * * * * [progress]: [ 201 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.454 * * * * [progress]: [ 202 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.454 * * * * [progress]: [ 203 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.454 * * * * [progress]: [ 204 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.454 * * * * [progress]: [ 205 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.455 * * * * [progress]: [ 206 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.455 * * * * [progress]: [ 207 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.455 * * * * [progress]: [ 208 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.455 * * * * [progress]: [ 209 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.455 * * * * [progress]: [ 210 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.455 * * * * [progress]: [ 211 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.455 * * * * [progress]: [ 212 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.455 * * * * [progress]: [ 213 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.455 * * * * [progress]: [ 214 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.455 * * * * [progress]: [ 215 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.455 * * * * [progress]: [ 216 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.455 * * * * [progress]: [ 217 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.455 * * * * [progress]: [ 218 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.455 * * * * [progress]: [ 219 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.455 * * * * [progress]: [ 220 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.455 * * * * [progress]: [ 221 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.455 * * * * [progress]: [ 222 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.455 * * * * [progress]: [ 223 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.455 * * * * [progress]: [ 224 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.455 * * * * [progress]: [ 225 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.455 * * * * [progress]: [ 226 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.455 * * * * [progress]: [ 227 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.456 * * * * [progress]: [ 228 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.456 * * * * [progress]: [ 229 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.456 * * * * [progress]: [ 230 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.456 * * * * [progress]: [ 231 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.456 * * * * [progress]: [ 232 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.456 * * * * [progress]: [ 233 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.456 * * * * [progress]: [ 234 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.456 * * * * [progress]: [ 235 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.456 * * * * [progress]: [ 236 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.456 * * * * [progress]: [ 237 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.456 * * * * [progress]: [ 238 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.456 * * * * [progress]: [ 239 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.456 * * * * [progress]: [ 240 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.456 * * * * [progress]: [ 241 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.456 * * * * [progress]: [ 242 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.456 * * * * [progress]: [ 243 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.456 * * * * [progress]: [ 244 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.456 * * * * [progress]: [ 245 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.456 * * * * [progress]: [ 246 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.456 * * * * [progress]: [ 247 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.456 * * * * [progress]: [ 248 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) 1) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.456 * * * * [progress]: [ 249 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
17.457 * * * * [progress]: [ 250 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI 1/2))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
17.457 * * * * [progress]: [ 251 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.457 * * * * [progress]: [ 252 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.457 * * * * [progress]: [ 253 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.457 * * * * [progress]: [ 254 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.457 * * * * [progress]: [ 255 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.457 * * * * [progress]: [ 256 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.457 * * * * [progress]: [ 257 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.457 * * * * [progress]: [ 258 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.457 * * * * [progress]: [ 259 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.457 * * * * [progress]: [ 260 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.457 * * * * [progress]: [ 261 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.457 * * * * [progress]: [ 262 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.457 * * * * [progress]: [ 263 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.457 * * * * [progress]: [ 264 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.457 * * * * [progress]: [ 265 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.458 * * * * [progress]: [ 266 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.458 * * * * [progress]: [ 267 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.458 * * * * [progress]: [ 268 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.458 * * * * [progress]: [ 269 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.458 * * * * [progress]: [ 270 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.458 * * * * [progress]: [ 271 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.458 * * * * [progress]: [ 272 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.458 * * * * [progress]: [ 273 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.458 * * * * [progress]: [ 274 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.458 * * * * [progress]: [ 275 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.458 * * * * [progress]: [ 276 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.458 * * * * [progress]: [ 277 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.458 * * * * [progress]: [ 278 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.458 * * * * [progress]: [ 279 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.458 * * * * [progress]: [ 280 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.458 * * * * [progress]: [ 281 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.459 * * * * [progress]: [ 282 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.459 * * * * [progress]: [ 283 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.459 * * * * [progress]: [ 284 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.459 * * * * [progress]: [ 285 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.459 * * * * [progress]: [ 286 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.459 * * * * [progress]: [ 287 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.459 * * * * [progress]: [ 288 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.459 * * * * [progress]: [ 289 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.459 * * * * [progress]: [ 290 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.459 * * * * [progress]: [ 291 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.459 * * * * [progress]: [ 292 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.459 * * * * [progress]: [ 293 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.459 * * * * [progress]: [ 294 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.459 * * * * [progress]: [ 295 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.459 * * * * [progress]: [ 296 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.459 * * * * [progress]: [ 297 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.459 * * * * [progress]: [ 298 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.459 * * * * [progress]: [ 299 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.459 * * * * [progress]: [ 300 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.459 * * * * [progress]: [ 301 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.460 * * * * [progress]: [ 302 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.460 * * * * [progress]: [ 303 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.460 * * * * [progress]: [ 304 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.460 * * * * [progress]: [ 305 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.460 * * * * [progress]: [ 306 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.460 * * * * [progress]: [ 307 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.460 * * * * [progress]: [ 308 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
17.460 * * * * [progress]: [ 309 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI 1/2))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))))>
17.460 * * * * [progress]: [ 310 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.460 * * * * [progress]: [ 311 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.460 * * * * [progress]: [ 312 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.460 * * * * [progress]: [ 313 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.460 * * * * [progress]: [ 314 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.460 * * * * [progress]: [ 315 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.460 * * * * [progress]: [ 316 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.460 * * * * [progress]: [ 317 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.460 * * * * [progress]: [ 318 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.460 * * * * [progress]: [ 319 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.460 * * * * [progress]: [ 320 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.460 * * * * [progress]: [ 321 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.460 * * * * [progress]: [ 322 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.461 * * * * [progress]: [ 323 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.461 * * * * [progress]: [ 324 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.461 * * * * [progress]: [ 325 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.461 * * * * [progress]: [ 326 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.461 * * * * [progress]: [ 327 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.461 * * * * [progress]: [ 328 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.461 * * * * [progress]: [ 329 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.461 * * * * [progress]: [ 330 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.461 * * * * [progress]: [ 331 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.461 * * * * [progress]: [ 332 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.461 * * * * [progress]: [ 333 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.461 * * * * [progress]: [ 334 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.461 * * * * [progress]: [ 335 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.461 * * * * [progress]: [ 336 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.461 * * * * [progress]: [ 337 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.461 * * * * [progress]: [ 338 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.461 * * * * [progress]: [ 339 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.461 * * * * [progress]: [ 340 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.461 * * * * [progress]: [ 341 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.461 * * * * [progress]: [ 342 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.461 * * * * [progress]: [ 343 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.462 * * * * [progress]: [ 344 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.462 * * * * [progress]: [ 345 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.462 * * * * [progress]: [ 346 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.462 * * * * [progress]: [ 347 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.462 * * * * [progress]: [ 348 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.462 * * * * [progress]: [ 349 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.462 * * * * [progress]: [ 350 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.462 * * * * [progress]: [ 351 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.462 * * * * [progress]: [ 352 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.462 * * * * [progress]: [ 353 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.462 * * * * [progress]: [ 354 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.462 * * * * [progress]: [ 355 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.462 * * * * [progress]: [ 356 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.462 * * * * [progress]: [ 357 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.462 * * * * [progress]: [ 358 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.462 * * * * [progress]: [ 359 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.462 * * * * [progress]: [ 360 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.462 * * * * [progress]: [ 361 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.462 * * * * [progress]: [ 362 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.462 * * * * [progress]: [ 363 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.462 * * * * [progress]: [ 364 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.463 * * * * [progress]: [ 365 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.463 * * * * [progress]: [ 366 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.463 * * * * [progress]: [ 367 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
17.463 * * * * [progress]: [ 368 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI 1/2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))))>
17.463 * * * * [progress]: [ 369 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.463 * * * * [progress]: [ 370 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.463 * * * * [progress]: [ 371 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.463 * * * * [progress]: [ 372 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.463 * * * * [progress]: [ 373 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.463 * * * * [progress]: [ 374 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.463 * * * * [progress]: [ 375 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.463 * * * * [progress]: [ 376 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.463 * * * * [progress]: [ 377 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.463 * * * * [progress]: [ 378 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.463 * * * * [progress]: [ 379 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.463 * * * * [progress]: [ 380 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.463 * * * * [progress]: [ 381 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.463 * * * * [progress]: [ 382 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.463 * * * * [progress]: [ 383 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.463 * * * * [progress]: [ 384 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.463 * * * * [progress]: [ 385 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.464 * * * * [progress]: [ 386 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.464 * * * * [progress]: [ 387 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.464 * * * * [progress]: [ 388 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.464 * * * * [progress]: [ 389 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.464 * * * * [progress]: [ 390 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.464 * * * * [progress]: [ 391 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.464 * * * * [progress]: [ 392 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.464 * * * * [progress]: [ 393 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.464 * * * * [progress]: [ 394 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.464 * * * * [progress]: [ 395 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.464 * * * * [progress]: [ 396 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.464 * * * * [progress]: [ 397 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.464 * * * * [progress]: [ 398 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.464 * * * * [progress]: [ 399 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.464 * * * * [progress]: [ 400 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.464 * * * * [progress]: [ 401 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.464 * * * * [progress]: [ 402 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.464 * * * * [progress]: [ 403 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.464 * * * * [progress]: [ 404 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.464 * * * * [progress]: [ 405 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.464 * * * * [progress]: [ 406 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.464 * * * * [progress]: [ 407 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.465 * * * * [progress]: [ 408 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.465 * * * * [progress]: [ 409 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.465 * * * * [progress]: [ 410 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.465 * * * * [progress]: [ 411 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.465 * * * * [progress]: [ 412 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.465 * * * * [progress]: [ 413 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.465 * * * * [progress]: [ 414 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.465 * * * * [progress]: [ 415 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.465 * * * * [progress]: [ 416 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.465 * * * * [progress]: [ 417 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.465 * * * * [progress]: [ 418 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.465 * * * * [progress]: [ 419 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.465 * * * * [progress]: [ 420 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.465 * * * * [progress]: [ 421 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.465 * * * * [progress]: [ 422 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.465 * * * * [progress]: [ 423 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.465 * * * * [progress]: [ 424 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.465 * * * * [progress]: [ 425 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.465 * * * * [progress]: [ 426 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
17.465 * * * * [progress]: [ 427 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))))>
17.465 * * * * [progress]: [ 428 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.465 * * * * [progress]: [ 429 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.465 * * * * [progress]: [ 430 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.466 * * * * [progress]: [ 431 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.466 * * * * [progress]: [ 432 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.466 * * * * [progress]: [ 433 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.466 * * * * [progress]: [ 434 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.466 * * * * [progress]: [ 435 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.466 * * * * [progress]: [ 436 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.466 * * * * [progress]: [ 437 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.466 * * * * [progress]: [ 438 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.466 * * * * [progress]: [ 439 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.466 * * * * [progress]: [ 440 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.466 * * * * [progress]: [ 441 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.466 * * * * [progress]: [ 442 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.466 * * * * [progress]: [ 443 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.466 * * * * [progress]: [ 444 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.466 * * * * [progress]: [ 445 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.466 * * * * [progress]: [ 446 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.466 * * * * [progress]: [ 447 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.466 * * * * [progress]: [ 448 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.466 * * * * [progress]: [ 449 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.466 * * * * [progress]: [ 450 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.466 * * * * [progress]: [ 451 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.467 * * * * [progress]: [ 452 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.467 * * * * [progress]: [ 453 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.467 * * * * [progress]: [ 454 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.467 * * * * [progress]: [ 455 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.467 * * * * [progress]: [ 456 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.467 * * * * [progress]: [ 457 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.467 * * * * [progress]: [ 458 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.467 * * * * [progress]: [ 459 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.467 * * * * [progress]: [ 460 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.467 * * * * [progress]: [ 461 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.467 * * * * [progress]: [ 462 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.467 * * * * [progress]: [ 463 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.467 * * * * [progress]: [ 464 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.467 * * * * [progress]: [ 465 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.467 * * * * [progress]: [ 466 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.467 * * * * [progress]: [ 467 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.467 * * * * [progress]: [ 468 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.467 * * * * [progress]: [ 469 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.467 * * * * [progress]: [ 470 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.467 * * * * [progress]: [ 471 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.468 * * * * [progress]: [ 472 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.468 * * * * [progress]: [ 473 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.468 * * * * [progress]: [ 474 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.468 * * * * [progress]: [ 475 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.468 * * * * [progress]: [ 476 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.468 * * * * [progress]: [ 477 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.468 * * * * [progress]: [ 478 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.468 * * * * [progress]: [ 479 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.468 * * * * [progress]: [ 480 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.468 * * * * [progress]: [ 481 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.474 * * * * [progress]: [ 482 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 1)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.474 * * * * [progress]: [ 483 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.474 * * * * [progress]: [ 484 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.475 * * * * [progress]: [ 485 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt k)) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
17.475 * * * * [progress]: [ 486 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI 1/2))) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ k 2)))))>
17.475 * * * * [progress]: [ 487 / 655 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.475 * * * * [progress]: [ 488 / 655 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.475 * * * * [progress]: [ 489 / 655 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))>
17.475 * * * * [progress]: [ 490 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.475 * * * * [progress]: [ 491 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.475 * * * * [progress]: [ 492 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))>
17.475 * * * * [progress]: [ 493 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))>
17.475 * * * * [progress]: [ 494 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
17.475 * * * * [progress]: [ 495 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
17.475 * * * * [progress]: [ 496 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
17.475 * * * * [progress]: [ 497 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
17.476 * * * * [progress]: [ 498 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
17.476 * * * * [progress]: [ 499 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
17.476 * * * * [progress]: [ 500 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
17.476 * * * * [progress]: [ 501 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2))))))>
17.476 * * * * [progress]: [ 502 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2))))))>
17.476 * * * * [progress]: [ 503 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
17.476 * * * * [progress]: [ 504 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
17.476 * * * * [progress]: [ 505 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))))>
17.476 * * * * [progress]: [ 506 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
17.476 * * * * [progress]: [ 507 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
17.476 * * * * [progress]: [ 508 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))))>
17.476 * * * * [progress]: [ 509 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
17.477 * * * * [progress]: [ 510 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))>
17.477 * * * * [progress]: [ 511 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))>
17.477 * * * * [progress]: [ 512 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
17.477 * * * * [progress]: [ 513 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
17.477 * * * * [progress]: [ 514 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
17.477 * * * * [progress]: [ 515 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
17.477 * * * * [progress]: [ 516 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
17.477 * * * * [progress]: [ 517 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
17.478 * * * * [progress]: [ 518 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
17.478 * * * * [progress]: [ 519 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))>
17.478 * * * * [progress]: [ 520 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))>
17.478 * * * * [progress]: [ 521 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
17.478 * * * * [progress]: [ 522 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
17.478 * * * * [progress]: [ 523 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.478 * * * * [progress]: [ 524 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
17.478 * * * * [progress]: [ 525 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
17.478 * * * * [progress]: [ 526 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) 1)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.478 * * * * [progress]: [ 527 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
17.478 * * * * [progress]: [ 528 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))>
17.478 * * * * [progress]: [ 529 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))>
17.478 * * * * [progress]: [ 530 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
17.479 * * * * [progress]: [ 531 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
17.479 * * * * [progress]: [ 532 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
17.479 * * * * [progress]: [ 533 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
17.479 * * * * [progress]: [ 534 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
17.479 * * * * [progress]: [ 535 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
17.479 * * * * [progress]: [ 536 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
17.479 * * * * [progress]: [ 537 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))>
17.479 * * * * [progress]: [ 538 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))>
17.479 * * * * [progress]: [ 539 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
17.479 * * * * [progress]: [ 540 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
17.479 * * * * [progress]: [ 541 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow 1 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.479 * * * * [progress]: [ 542 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
17.479 * * * * [progress]: [ 543 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
17.480 * * * * [progress]: [ 544 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.480 * * * * [progress]: [ 545 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
17.480 * * * * [progress]: [ 546 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.480 * * * * [progress]: [ 547 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))>
17.480 * * * * [progress]: [ 548 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI 1/2))) (pow PI (/ k 2))))>
17.480 * * * * [progress]: [ 549 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) 1/2) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- (/ k 2))))))>
17.480 * * * * [progress]: [ 550 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) 1/2) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- (/ k 2))))))>
17.480 * * * * [progress]: [ 551 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))>
17.480 * * * * [progress]: [ 552 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))>
17.480 * * * * [progress]: [ 553 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))>
17.480 * * * * [progress]: [ 554 / 655 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))>
17.480 * * * * [progress]: [ 555 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)))))>
17.480 * * * * [progress]: [ 556 / 655 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))>
17.480 * * * * [progress]: [ 557 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) 1/2) (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2)))))>
17.481 * * * * [progress]: [ 558 / 655 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.481 * * * * [progress]: [ 559 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1)))>
17.481 * * * * [progress]: [ 560 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
17.481 * * * * [progress]: [ 561 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))))>
17.481 * * * * [progress]: [ 562 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))))>
17.481 * * * * [progress]: [ 563 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.481 * * * * [progress]: [ 564 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (log (exp (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.481 * * * * [progress]: [ 565 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))))>
17.481 * * * * [progress]: [ 566 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.481 * * * * [progress]: [ 567 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (* (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.481 * * * * [progress]: [ 568 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.481 * * * * [progress]: [ 569 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (- (sqrt k)) (- (pow PI (- 1/2 (/ k 2)))))))>
17.481 * * * * [progress]: [ 570 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.481 * * * * [progress]: [ 571 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.482 * * * * [progress]: [ 572 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.482 * * * * [progress]: [ 573 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.482 * * * * [progress]: [ 574 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.482 * * * * [progress]: [ 575 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.482 * * * * [progress]: [ 576 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.482 * * * * [progress]: [ 577 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.482 * * * * [progress]: [ 578 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.482 * * * * [progress]: [ 579 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2)) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.482 * * * * [progress]: [ 580 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2)) (/ (sqrt (cbrt k)) (pow PI (- (/ k 2)))))))>
17.482 * * * * [progress]: [ 581 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.482 * * * * [progress]: [ 582 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.482 * * * * [progress]: [ 583 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.483 * * * * [progress]: [ 584 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.483 * * * * [progress]: [ 585 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.483 * * * * [progress]: [ 586 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.483 * * * * [progress]: [ 587 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.483 * * * * [progress]: [ 588 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI 1/2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.483 * * * * [progress]: [ 589 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI 1/2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.483 * * * * [progress]: [ 590 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.483 * * * * [progress]: [ 591 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.483 * * * * [progress]: [ 592 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.483 * * * * [progress]: [ 593 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.483 * * * * [progress]: [ 594 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.483 * * * * [progress]: [ 595 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.483 * * * * [progress]: [ 596 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.484 * * * * [progress]: [ 597 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow PI 1/2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.484 * * * * [progress]: [ 598 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow PI 1/2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.484 * * * * [progress]: [ 599 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.484 * * * * [progress]: [ 600 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.484 * * * * [progress]: [ 601 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.484 * * * * [progress]: [ 602 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.484 * * * * [progress]: [ 603 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.484 * * * * [progress]: [ 604 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.484 * * * * [progress]: [ 605 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.484 * * * * [progress]: [ 606 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI 1/2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.484 * * * * [progress]: [ 607 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI 1/2)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))))))>
17.484 * * * * [progress]: [ 608 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.484 * * * * [progress]: [ 609 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.485 * * * * [progress]: [ 610 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.485 * * * * [progress]: [ 611 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.485 * * * * [progress]: [ 612 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.485 * * * * [progress]: [ 613 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
17.485 * * * * [progress]: [ 614 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.485 * * * * [progress]: [ 615 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow PI 1/2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.485 * * * * [progress]: [ 616 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow PI 1/2)) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
17.485 * * * * [progress]: [ 617 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
17.485 * * * * [progress]: [ 618 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
17.485 * * * * [progress]: [ 619 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.485 * * * * [progress]: [ 620 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
17.485 * * * * [progress]: [ 621 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
17.485 * * * * [progress]: [ 622 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.485 * * * * [progress]: [ 623 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2))) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
17.486 * * * * [progress]: [ 624 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
17.486 * * * * [progress]: [ 625 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt k) (/ 1 (pow PI (- 1/2 (/ k 2)))))))>
17.486 * * * * [progress]: [ 626 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
17.486 * * * * [progress]: [ 627 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI 1/2)) (pow PI (- (/ k 2))))))>
17.486 * * * * [progress]: [ 628 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI 1/2)) (pow PI (- (/ k 2))))))>
17.486 * * * * [progress]: [ 629 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (pow (cbrt PI) (- 1/2 (/ k 2))))))>
17.486 * * * * [progress]: [ 630 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))) (pow (sqrt PI) (- 1/2 (/ k 2))))))>
17.486 * * * * [progress]: [ 631 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow 1 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))>
17.486 * * * * [progress]: [ 632 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (pow PI (- 1/2 (/ k 2)))))))>
17.486 * * * * [progress]: [ 633 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))))>
17.486 * * * * [progress]: [ 634 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (pow PI (- 1/2 (/ k 2))))))>
17.486 * * * * [progress]: [ 635 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))) (pow PI (/ (- 1/2 (/ k 2)) 2)))))>
17.486 * * * * [progress]: [ 636 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
17.487 * * * * [progress]: [ 637 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
17.487 * * * * [progress]: [ 638 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
17.487 * * * * [progress]: [ 639 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
17.487 * * * * [progress]: [ 640 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
17.487 * * * * [progress]: [ 641 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
17.487 * * * * [progress]: [ 642 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow PI 1/2)) (pow PI (/ k 2)))))>
17.487 * * * * [progress]: [ 643 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (posit16->real (real->posit16 (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))>
17.487 * * * * [progress]: [ 644 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.487 * * * * [progress]: [ 645 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.487 * * * * [progress]: [ 646 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
17.487 * * * * [progress]: [ 647 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))))))>
17.487 * * * * [progress]: [ 648 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))))>
17.487 * * * * [progress]: [ 649 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))))>
17.487 * * * * [progress]: [ 650 / 655 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))))))))))))))))))))))))))))))>
17.488 * * * * [progress]: [ 651 / 655 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))))>
17.488 * * * * [progress]: [ 652 / 655 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))))>
17.488 * * * * [progress]: [ 653 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 3))) (- (+ (* +nan.0 (* (* (log PI) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 2))))))))))))))))>
17.488 * * * * [progress]: [ 654 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))))>
17.488 * * * * [progress]: [ 655 / 655 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))))>
17.509 * [simplify]: Simplifying:
  (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (pow (* n 2) 1)
  (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n 2) 1)
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (/ k 2)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (log (pow (* n 2) (- 1/2 (/ k 2))))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow PI 1/2)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  (pow PI 1)
  (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow 1 (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow PI (- 1/2 (/ k 2))))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))
  (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))))
  (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))))
  (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (exp (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))
  (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
  (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (pow (* n 2) (- 1/2 (/ k 2))))
  (- (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) 1/2) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
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  (/ (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI 1/2)))
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  (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2)))))
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  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
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  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2)))
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  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
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  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2)))))
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  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) 1))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 1 (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow 1 (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 1))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI 1/2)))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- (/ k 2))))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- (/ k 2))))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
  (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2)))
  (real->posit16 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2)))))
  (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (exp (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))
  (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
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  (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (- (pow PI (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))
  (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))
  (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 1 (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
  (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (cbrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))
  (/ (sqrt (cbrt k)) (pow PI (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI 1/2))
  (/ (sqrt (cbrt k)) (pow PI (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
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  (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* (cbrt k) (cbrt k))) 1)
  (/ (sqrt (cbrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))
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  (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
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  (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
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  (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt 1) (pow PI 1/2))
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  (/ (sqrt 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt 1) (pow (sqrt PI) (- 1/2 (/ k 2))))
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  (/ (sqrt 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt 1) 1)
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  (/ (sqrt 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2)))
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  (/ (sqrt (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
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  (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))
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  (/ (sqrt (sqrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (pow PI 1/2))
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  (/ 1 (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))
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  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ 1 1)
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
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  (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (pow PI (- 1/2 (/ k 2))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (sqrt k) (pow PI 1/2))
  (/ (sqrt k) (pow PI 1/2))
  (/ (sqrt k) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))
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  (/ (sqrt k) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
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  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
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  (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
  (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
  (pow PI (- 1/2 (* 1/2 k)))
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  (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
  (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 3))) (- (+ (* +nan.0 (* (* (log PI) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 2))))))))))))))
  (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))
  (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2)))))))))
17.547 * * [simplify]: iteration 0: 885 enodes
17.938 * * [simplify]: iteration 1: 2001 enodes
18.446 * * [simplify]: iteration complete: 2001 enodes
18.454 * * [simplify]: Extracting #0: cost 602 inf + 0
18.458 * * [simplify]: Extracting #1: cost 1039 inf + 206
18.461 * * [simplify]: Extracting #2: cost 1078 inf + 2352
18.466 * * [simplify]: Extracting #3: cost 1059 inf + 13549
18.474 * * [simplify]: Extracting #4: cost 927 inf + 66681
18.513 * * [simplify]: Extracting #5: cost 483 inf + 322805
18.598 * * [simplify]: Extracting #6: cost 168 inf + 543542
18.695 * * [simplify]: Extracting #7: cost 77 inf + 605261
18.770 * * [simplify]: Extracting #8: cost 52 inf + 624977
18.852 * * [simplify]: Extracting #9: cost 38 inf + 641703
18.926 * * [simplify]: Extracting #10: cost 38 inf + 643767
19.003 * * [simplify]: Extracting #11: cost 46 inf + 644345
19.109 * * [simplify]: Extracting #12: cost 48 inf + 645240
19.193 * * [simplify]: Extracting #13: cost 48 inf + 646538
19.289 * * [simplify]: Extracting #14: cost 43 inf + 651826
19.375 * * [simplify]: Extracting #15: cost 38 inf + 657432
19.458 * * [simplify]: Extracting #16: cost 32 inf + 664785
19.530 * * [simplify]: Extracting #17: cost 33 inf + 668011
19.599 * * [simplify]: Extracting #18: cost 36 inf + 669285
19.672 * * [simplify]: Extracting #19: cost 37 inf + 671145
19.743 * * [simplify]: Extracting #20: cost 35 inf + 673542
19.801 * * [simplify]: Extracting #21: cost 38 inf + 674493
19.875 * * [simplify]: Extracting #22: cost 42 inf + 674493
19.962 * * [simplify]: Extracting #23: cost 47 inf + 675018
20.068 * * [simplify]: Extracting #24: cost 45 inf + 677968
20.162 * * [simplify]: Extracting #25: cost 44 inf + 680333
20.229 * * [simplify]: Extracting #26: cost 48 inf + 680333
20.308 * * [simplify]: Extracting #27: cost 49 inf + 682947
20.382 * * [simplify]: Extracting #28: cost 47 inf + 685563
20.465 * * [simplify]: Extracting #29: cost 50 inf + 686372
20.557 * * [simplify]: Extracting #30: cost 43 inf + 692048
20.645 * * [simplify]: Extracting #31: cost 36 inf + 696935
20.738 * * [simplify]: Extracting #32: cost 33 inf + 700683
20.860 * * [simplify]: Extracting #33: cost 30 inf + 705181
20.954 * * [simplify]: Extracting #34: cost 27 inf + 710439
21.063 * * [simplify]: Extracting #35: cost 23 inf + 718623
21.143 * * [simplify]: Extracting #36: cost 16 inf + 736105
21.229 * * [simplify]: Extracting #37: cost 15 inf + 738631
21.314 * * [simplify]: Extracting #38: cost 13 inf + 744203
21.428 * * [simplify]: Extracting #39: cost 8 inf + 759833
21.573 * * [simplify]: Extracting #40: cost 6 inf + 766405
21.705 * * [simplify]: Extracting #41: cost 4 inf + 773177
21.843 * * [simplify]: Extracting #42: cost 1 inf + 784115
22.017 * * [simplify]: Extracting #43: cost 0 inf + 787801
22.161 * * [simplify]: Extracting #44: cost 0 inf + 787641
22.300 * * [simplify]: Extracting #45: cost 0 inf + 787601
22.459 * [simplify]: Simplified to:
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* n 2))
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (* n 2)
  (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (* n 2)
  (sqrt (* n 2))
  (pow (* n 2) (/ (- k) 2))
  (sqrt (* n 2))
  (pow (* n 2) (/ (- k) 2))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (sqrt PI)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  PI
  (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  PI
  (sqrt PI)
  (pow PI (/ (- k) 2))
  (sqrt PI)
  (pow PI (/ (- k) 2))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  1
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  (* (- 1/2 (/ k 2)) (log PI))
  (exp (pow PI (- 1/2 (/ k 2))))
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  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
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  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (+ (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
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  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (+ (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (+ (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log PI)))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log PI)))
  (+ (- (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log PI)))
  (exp (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ k (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
  (* (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))))
  (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))))
  (sqrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (sqrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
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  (/ (sqrt (* n 2)) (/ (cbrt (sqrt k)) (/ (sqrt PI) (cbrt (sqrt k)))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))))
  (/ (sqrt (* n 2)) (/ (cbrt (sqrt k)) (/ (sqrt PI) (cbrt (sqrt k)))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))))
  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (* n 2)) (/ (fabs (cbrt k)) (sqrt PI)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow PI (/ (- k) 2)))
  (/ (sqrt (* n 2)) (/ (fabs (cbrt k)) (sqrt PI)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow PI (/ (- k) 2)))
  (* (/ (sqrt (* n 2)) (fabs (cbrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (/ (fabs (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (fabs (cbrt k)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (/ (/ (fabs (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt (* n 2)) (/ (fabs (cbrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* n 2)) (fabs (cbrt k)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow PI (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (fabs (cbrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (/ (sqrt (* n 2)) (/ (sqrt (sqrt k)) (sqrt PI)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))
  (/ (sqrt (* n 2)) (/ (sqrt (sqrt k)) (sqrt PI)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))
  (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (sqrt (sqrt k)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (/ (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* n 2)) (sqrt (sqrt k)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (* (/ (sqrt (* n 2)) (sqrt 1)) (sqrt PI))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (pow PI (/ (- k) 2))))
  (* (/ (sqrt (* n 2)) (sqrt 1)) (sqrt PI))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (pow PI (/ (- k) 2))))
  (* (/ (sqrt (* n 2)) (sqrt 1)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (sqrt 1)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (sqrt 1))
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  (/ (sqrt (* n 2)) (/ (/ (sqrt 1) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))))
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  (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
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  (/ (sqrt (* n 2)) (sqrt (sqrt k)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
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  (* (/ (sqrt (* n 2)) 1) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
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  (/ (sqrt (* n 2)) (/ 1 1))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (* (/ (sqrt (* n 2)) 1) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (* (/ (sqrt (* n 2)) 1) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (sqrt (* n 2))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (* (/ (sqrt (* n 2)) 1) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))
  (sqrt (* n 2))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* n 2)) (sqrt k))
  (* (/ (pow (* n 2) (/ (- k) 2)) 1) (pow PI (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (sqrt k)) (sqrt PI))
  (/ (pow (* n 2) (/ (- k) 2)) (pow PI (/ k 2)))
  (/ (/ (sqrt (* n 2)) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
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  (/ (sqrt (* n 2)) (/ (cbrt (sqrt k)) (/ (sqrt PI) (cbrt (sqrt k)))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))))
  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
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  (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))
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  (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
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  (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow PI (/ (- 1/2 (/ k 2)) 2)))
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  (/ (sqrt (* n 2)) (/ (fabs (cbrt k)) (sqrt PI)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow PI (/ (- k) 2)))
  (/ (sqrt (* n 2)) (/ (fabs (cbrt k)) (sqrt PI)))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow PI (/ (- k) 2)))
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  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* n 2)) (/ (fabs (cbrt k)) (pow (sqrt PI) (- 1/2 (/ k 2)))))
  (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (cbrt k))) (pow (sqrt PI) (- 1/2 (/ k 2))))
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  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (* (* (log n) (log n)) (* k k)) (sqrt PI)))) (- (+ (* (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI)) (- (+ (* +nan.0 (* (* (* (log 2) (log 2)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* k k))) (sqrt PI))) (- (+ (* (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI)) (- (+ (* (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (* (log PI) (* k k)))) (sqrt PI)) (- (+ (* (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) k)) (sqrt PI)) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* k k))) (sqrt PI))) (- (+ (* +nan.0 (* (log 2) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* k k)) (sqrt PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (* (log n) (* k k))) (sqrt PI))) (- (+ (* (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* k k))) (sqrt PI)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (* (* (log PI) (log PI)) (* k k)) (sqrt PI)))) (- (+ (* +nan.0 (* (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (* k k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (* k k))) (sqrt PI))) (* +nan.0 (- (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* k k))) (- (+ (/ (* +nan.0 (* (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k))))) (* (* k k) k))))))))
  (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (/ k (pow PI (- 1/2 (* 1/2 k)))))) (* (- +nan.0) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (/ (* k k) (pow PI (- 1/2 (* 1/2 k))))))))))
  (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (* (* k k) k))) (- (+ (* +nan.0 (* (* (log PI) (* (* k k) k)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (log PI) (log PI)) (* (* (* k k) k) (sqrt (/ 1 PI))))) (- (+ (* (* +nan.0 (sqrt (/ 1 PI))) k) (- (+ (* (* +nan.0 (* (log PI) (* k k))) (sqrt (/ 1 PI))) (* (- +nan.0) (* (sqrt (/ 1 PI)) (* k k)))))))))))))
  (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (/ (* +nan.0 1) (* (pow PI (- 1/2 (* 1/2 k))) k)) (* (- +nan.0) (/ (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (* k k)))))))
  (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (/ (* +nan.0 1) (* (pow PI (- 1/2 (* 1/2 k))) k)) (* (- +nan.0) (/ (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (* k k)))))))
22.585 * * * [progress]: adding candidates to table
30.997 * [progress]: [Phase 3 of 3] Extracting.
30.997 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2))))))> #<alt (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (/ (sqrt (* (* 2 PI) n)) (pow (* (* 2 PI) n) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))> #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>)
30.998 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2 PI) n) n k)
30.998 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (#<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2))))))> #<alt (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (/ (sqrt (* (* 2 PI) n)) (pow (* (* 2 PI) n) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))> #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>)
31.048 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2))))))> #<alt (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (/ (sqrt (* (* 2 PI) n)) (pow (* (* 2 PI) n) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))> #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>)
31.120 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2))))))> #<alt (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (/ (sqrt (* (* 2 PI) n)) (pow (* (* 2 PI) n) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (sqrt (* PI (* 2 n)))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))> #<alt (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>)
31.194 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
31.194 * [simplify]: Simplifying:
  (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))
31.194 * * [simplify]: iteration 0: 17 enodes
31.196 * * [simplify]: iteration 1: 20 enodes
31.196 * * [simplify]: iteration complete: 20 enodes
31.196 * * [simplify]: Extracting #0: cost 1 inf + 0
31.196 * * [simplify]: Extracting #1: cost 3 inf + 0
31.196 * * [simplify]: Extracting #2: cost 7 inf + 0
31.196 * * [simplify]: Extracting #3: cost 12 inf + 0
31.197 * * [simplify]: Extracting #4: cost 14 inf + 43
31.197 * * [simplify]: Extracting #5: cost 9 inf + 89
31.197 * * [simplify]: Extracting #6: cost 3 inf + 1337
31.197 * * [simplify]: Extracting #7: cost 1 inf + 2378
31.197 * * [simplify]: Extracting #8: cost 0 inf + 3164
31.197 * [simplify]: Simplified to:
  (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow (sqrt PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))
39.215 * [regime-testing]: Baseline error score: 0.41137188054075946
39.217 * [regime-testing]: Oracle error score: 0.04989075022754189
39.222 * [regime-testing]: End program error score: 0.41137188054075946