56.318 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.117 * * * [progress]: [2/2] Setting up program.
0.120 * [progress]: [Phase 2 of 3] Improving.
0.120 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.120 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.120 * * [simplify]: iteration 0: 13 enodes
0.124 * * [simplify]: iteration 1: 31 enodes
0.161 * * [simplify]: iteration 2: 62 enodes
0.189 * * [simplify]: iteration 3: 124 enodes
0.228 * * [simplify]: iteration 4: 327 enodes
0.550 * * [simplify]: iteration 5: 929 enodes
1.747 * * [simplify]: iteration 6: 2719 enodes
2.576 * * [simplify]: iteration complete: 5000 enodes
2.576 * * [simplify]: Extracting #0: cost 1 inf + 0
2.576 * * [simplify]: Extracting #1: cost 61 inf + 0
2.578 * * [simplify]: Extracting #2: cost 488 inf + 1
2.581 * * [simplify]: Extracting #3: cost 953 inf + 92
2.587 * * [simplify]: Extracting #4: cost 921 inf + 18841
2.973 * * [simplify]: Extracting #5: cost 645 inf + 66373
3.029 * * [simplify]: Extracting #6: cost 241 inf + 329522
3.155 * * [simplify]: Extracting #7: cost 5 inf + 560024
3.283 * * [simplify]: Extracting #8: cost 0 inf + 561759
3.402 * * [simplify]: Extracting #9: cost 0 inf + 561250
3.490 * [simplify]: Simplified to:
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
3.495 * * [progress]: iteration 1 / 4
3.495 * * * [progress]: picking best candidate
3.501 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
3.501 * * * [progress]: localizing error
3.527 * * * [progress]: generating rewritten candidates
3.527 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
3.551 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
3.580 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
3.618 * * * [progress]: generating series expansions
3.618 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
3.618 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
3.619 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
3.619 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
3.619 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
3.619 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
3.619 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
3.619 * [taylor]: Taking taylor expansion of 1/2 in k
3.619 * [backup-simplify]: Simplify 1/2 into 1/2
3.619 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
3.619 * [taylor]: Taking taylor expansion of 1/2 in k
3.619 * [backup-simplify]: Simplify 1/2 into 1/2
3.619 * [taylor]: Taking taylor expansion of k in k
3.619 * [backup-simplify]: Simplify 0 into 0
3.619 * [backup-simplify]: Simplify 1 into 1
3.619 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
3.619 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
3.619 * [taylor]: Taking taylor expansion of 2 in k
3.619 * [backup-simplify]: Simplify 2 into 2
3.619 * [taylor]: Taking taylor expansion of (* n PI) in k
3.619 * [taylor]: Taking taylor expansion of n in k
3.619 * [backup-simplify]: Simplify n into n
3.619 * [taylor]: Taking taylor expansion of PI in k
3.619 * [backup-simplify]: Simplify PI into PI
3.619 * [backup-simplify]: Simplify (* n PI) into (* n PI)
3.619 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
3.619 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
3.620 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.621 * [backup-simplify]: Simplify (- 0) into 0
3.621 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.621 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
3.621 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
3.621 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
3.621 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
3.621 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
3.621 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
3.621 * [taylor]: Taking taylor expansion of 1/2 in n
3.621 * [backup-simplify]: Simplify 1/2 into 1/2
3.621 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
3.621 * [taylor]: Taking taylor expansion of 1/2 in n
3.621 * [backup-simplify]: Simplify 1/2 into 1/2
3.621 * [taylor]: Taking taylor expansion of k in n
3.622 * [backup-simplify]: Simplify k into k
3.622 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
3.622 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.622 * [taylor]: Taking taylor expansion of 2 in n
3.622 * [backup-simplify]: Simplify 2 into 2
3.622 * [taylor]: Taking taylor expansion of (* n PI) in n
3.622 * [taylor]: Taking taylor expansion of n in n
3.622 * [backup-simplify]: Simplify 0 into 0
3.622 * [backup-simplify]: Simplify 1 into 1
3.622 * [taylor]: Taking taylor expansion of PI in n
3.622 * [backup-simplify]: Simplify PI into PI
3.622 * [backup-simplify]: Simplify (* 0 PI) into 0
3.623 * [backup-simplify]: Simplify (* 2 0) into 0
3.627 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.629 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.630 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.630 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
3.630 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
3.631 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
3.632 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.633 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
3.634 * [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)))))
3.634 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
3.634 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
3.635 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
3.635 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
3.635 * [taylor]: Taking taylor expansion of 1/2 in n
3.635 * [backup-simplify]: Simplify 1/2 into 1/2
3.635 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
3.635 * [taylor]: Taking taylor expansion of 1/2 in n
3.635 * [backup-simplify]: Simplify 1/2 into 1/2
3.635 * [taylor]: Taking taylor expansion of k in n
3.635 * [backup-simplify]: Simplify k into k
3.635 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
3.635 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.635 * [taylor]: Taking taylor expansion of 2 in n
3.635 * [backup-simplify]: Simplify 2 into 2
3.635 * [taylor]: Taking taylor expansion of (* n PI) in n
3.635 * [taylor]: Taking taylor expansion of n in n
3.635 * [backup-simplify]: Simplify 0 into 0
3.635 * [backup-simplify]: Simplify 1 into 1
3.635 * [taylor]: Taking taylor expansion of PI in n
3.635 * [backup-simplify]: Simplify PI into PI
3.635 * [backup-simplify]: Simplify (* 0 PI) into 0
3.636 * [backup-simplify]: Simplify (* 2 0) into 0
3.638 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.639 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.640 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.641 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
3.641 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
3.641 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
3.642 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.643 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
3.644 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
3.644 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
3.644 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
3.644 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
3.644 * [taylor]: Taking taylor expansion of 1/2 in k
3.644 * [backup-simplify]: Simplify 1/2 into 1/2
3.644 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
3.644 * [taylor]: Taking taylor expansion of 1/2 in k
3.644 * [backup-simplify]: Simplify 1/2 into 1/2
3.644 * [taylor]: Taking taylor expansion of k in k
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [backup-simplify]: Simplify 1 into 1
3.644 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
3.644 * [taylor]: Taking taylor expansion of (log n) in k
3.644 * [taylor]: Taking taylor expansion of n in k
3.644 * [backup-simplify]: Simplify n into n
3.644 * [backup-simplify]: Simplify (log n) into (log n)
3.644 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
3.644 * [taylor]: Taking taylor expansion of (* 2 PI) in k
3.644 * [taylor]: Taking taylor expansion of 2 in k
3.644 * [backup-simplify]: Simplify 2 into 2
3.644 * [taylor]: Taking taylor expansion of PI in k
3.644 * [backup-simplify]: Simplify PI into PI
3.644 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.645 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.645 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.646 * [backup-simplify]: Simplify (- 0) into 0
3.646 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.646 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.647 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
3.648 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
3.649 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
3.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
3.650 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
3.651 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
3.651 * [backup-simplify]: Simplify (- 0) into 0
3.652 * [backup-simplify]: Simplify (+ 0 0) into 0
3.653 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.653 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
3.654 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.655 * [taylor]: Taking taylor expansion of 0 in k
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
3.656 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.657 * [backup-simplify]: Simplify (+ 0 0) into 0
3.657 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.658 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.658 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
3.661 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
3.663 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
3.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
3.665 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
3.667 * [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
3.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
3.667 * [backup-simplify]: Simplify (- 0) into 0
3.668 * [backup-simplify]: Simplify (+ 0 0) into 0
3.669 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.670 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
3.672 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.672 * [taylor]: Taking taylor expansion of 0 in k
3.672 * [backup-simplify]: Simplify 0 into 0
3.672 * [backup-simplify]: Simplify 0 into 0
3.672 * [backup-simplify]: Simplify 0 into 0
3.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
3.675 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.679 * [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
3.679 * [backup-simplify]: Simplify (+ 0 0) into 0
3.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.681 * [backup-simplify]: Simplify (- 0) into 0
3.681 * [backup-simplify]: Simplify (+ 0 0) into 0
3.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
3.687 * [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)))))
3.693 * [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)))))
3.704 * [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)))))
3.704 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
3.704 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
3.704 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
3.704 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
3.704 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
3.705 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
3.705 * [taylor]: Taking taylor expansion of 1/2 in k
3.705 * [backup-simplify]: Simplify 1/2 into 1/2
3.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.705 * [taylor]: Taking taylor expansion of 1/2 in k
3.705 * [backup-simplify]: Simplify 1/2 into 1/2
3.705 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.705 * [taylor]: Taking taylor expansion of k in k
3.705 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify 1 into 1
3.705 * [backup-simplify]: Simplify (/ 1 1) into 1
3.705 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
3.705 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
3.705 * [taylor]: Taking taylor expansion of 2 in k
3.705 * [backup-simplify]: Simplify 2 into 2
3.705 * [taylor]: Taking taylor expansion of (/ PI n) in k
3.705 * [taylor]: Taking taylor expansion of PI in k
3.705 * [backup-simplify]: Simplify PI into PI
3.705 * [taylor]: Taking taylor expansion of n in k
3.705 * [backup-simplify]: Simplify n into n
3.706 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
3.706 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
3.706 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
3.706 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.707 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.707 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.707 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
3.707 * [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))))
3.707 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
3.707 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
3.707 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
3.708 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
3.708 * [taylor]: Taking taylor expansion of 1/2 in n
3.708 * [backup-simplify]: Simplify 1/2 into 1/2
3.708 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.708 * [taylor]: Taking taylor expansion of 1/2 in n
3.708 * [backup-simplify]: Simplify 1/2 into 1/2
3.708 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.708 * [taylor]: Taking taylor expansion of k in n
3.708 * [backup-simplify]: Simplify k into k
3.708 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.708 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
3.708 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.708 * [taylor]: Taking taylor expansion of 2 in n
3.708 * [backup-simplify]: Simplify 2 into 2
3.708 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.708 * [taylor]: Taking taylor expansion of PI in n
3.708 * [backup-simplify]: Simplify PI into PI
3.708 * [taylor]: Taking taylor expansion of n in n
3.708 * [backup-simplify]: Simplify 0 into 0
3.708 * [backup-simplify]: Simplify 1 into 1
3.708 * [backup-simplify]: Simplify (/ PI 1) into PI
3.709 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.710 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.710 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.710 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
3.711 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
3.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.713 * [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)))
3.714 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
3.715 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
3.715 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
3.715 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
3.715 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
3.715 * [taylor]: Taking taylor expansion of 1/2 in n
3.715 * [backup-simplify]: Simplify 1/2 into 1/2
3.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.715 * [taylor]: Taking taylor expansion of 1/2 in n
3.715 * [backup-simplify]: Simplify 1/2 into 1/2
3.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.715 * [taylor]: Taking taylor expansion of k in n
3.715 * [backup-simplify]: Simplify k into k
3.715 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.715 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
3.715 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.715 * [taylor]: Taking taylor expansion of 2 in n
3.715 * [backup-simplify]: Simplify 2 into 2
3.715 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.715 * [taylor]: Taking taylor expansion of PI in n
3.715 * [backup-simplify]: Simplify PI into PI
3.715 * [taylor]: Taking taylor expansion of n in n
3.715 * [backup-simplify]: Simplify 0 into 0
3.715 * [backup-simplify]: Simplify 1 into 1
3.716 * [backup-simplify]: Simplify (/ PI 1) into PI
3.716 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.717 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.717 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.717 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
3.718 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
3.719 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.720 * [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)))
3.722 * [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))))
3.722 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
3.722 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
3.722 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
3.722 * [taylor]: Taking taylor expansion of 1/2 in k
3.722 * [backup-simplify]: Simplify 1/2 into 1/2
3.722 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.722 * [taylor]: Taking taylor expansion of 1/2 in k
3.722 * [backup-simplify]: Simplify 1/2 into 1/2
3.722 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.722 * [taylor]: Taking taylor expansion of k in k
3.722 * [backup-simplify]: Simplify 0 into 0
3.722 * [backup-simplify]: Simplify 1 into 1
3.723 * [backup-simplify]: Simplify (/ 1 1) into 1
3.723 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
3.723 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
3.723 * [taylor]: Taking taylor expansion of (* 2 PI) in k
3.723 * [taylor]: Taking taylor expansion of 2 in k
3.723 * [backup-simplify]: Simplify 2 into 2
3.723 * [taylor]: Taking taylor expansion of PI in k
3.723 * [backup-simplify]: Simplify PI into PI
3.723 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.724 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.724 * [taylor]: Taking taylor expansion of (log n) in k
3.724 * [taylor]: Taking taylor expansion of n in k
3.724 * [backup-simplify]: Simplify n into n
3.724 * [backup-simplify]: Simplify (log n) into (log n)
3.725 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.725 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.726 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.726 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
3.727 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
3.728 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
3.729 * [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))))
3.731 * [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))))
3.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.732 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
3.735 * [backup-simplify]: Simplify (- 0) into 0
3.736 * [backup-simplify]: Simplify (+ 0 0) into 0
3.737 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.739 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
3.741 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.741 * [taylor]: Taking taylor expansion of 0 in k
3.741 * [backup-simplify]: Simplify 0 into 0
3.741 * [backup-simplify]: Simplify 0 into 0
3.741 * [backup-simplify]: Simplify 0 into 0
3.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.743 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.747 * [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
3.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
3.748 * [backup-simplify]: Simplify (- 0) into 0
3.749 * [backup-simplify]: Simplify (+ 0 0) into 0
3.750 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.752 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
3.754 * [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
3.754 * [taylor]: Taking taylor expansion of 0 in k
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 0 into 0
3.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.758 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.761 * [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
3.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
3.762 * [backup-simplify]: Simplify (- 0) into 0
3.763 * [backup-simplify]: Simplify (+ 0 0) into 0
3.764 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
3.765 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
3.766 * [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
3.766 * [taylor]: Taking taylor expansion of 0 in k
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [backup-simplify]: Simplify 0 into 0
3.767 * [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)))))
3.767 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
3.767 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
3.767 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
3.767 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
3.768 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
3.768 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
3.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.768 * [taylor]: Taking taylor expansion of 1/2 in k
3.768 * [backup-simplify]: Simplify 1/2 into 1/2
3.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.768 * [taylor]: Taking taylor expansion of k in k
3.768 * [backup-simplify]: Simplify 0 into 0
3.768 * [backup-simplify]: Simplify 1 into 1
3.768 * [backup-simplify]: Simplify (/ 1 1) into 1
3.768 * [taylor]: Taking taylor expansion of 1/2 in k
3.768 * [backup-simplify]: Simplify 1/2 into 1/2
3.768 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
3.768 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
3.768 * [taylor]: Taking taylor expansion of -2 in k
3.768 * [backup-simplify]: Simplify -2 into -2
3.768 * [taylor]: Taking taylor expansion of (/ PI n) in k
3.768 * [taylor]: Taking taylor expansion of PI in k
3.768 * [backup-simplify]: Simplify PI into PI
3.768 * [taylor]: Taking taylor expansion of n in k
3.768 * [backup-simplify]: Simplify n into n
3.768 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
3.768 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
3.768 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
3.768 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.769 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.769 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
3.769 * [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)))
3.769 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
3.769 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
3.769 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
3.769 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
3.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.769 * [taylor]: Taking taylor expansion of 1/2 in n
3.769 * [backup-simplify]: Simplify 1/2 into 1/2
3.769 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.769 * [taylor]: Taking taylor expansion of k in n
3.769 * [backup-simplify]: Simplify k into k
3.769 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.769 * [taylor]: Taking taylor expansion of 1/2 in n
3.769 * [backup-simplify]: Simplify 1/2 into 1/2
3.769 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
3.769 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.769 * [taylor]: Taking taylor expansion of -2 in n
3.769 * [backup-simplify]: Simplify -2 into -2
3.769 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.769 * [taylor]: Taking taylor expansion of PI in n
3.769 * [backup-simplify]: Simplify PI into PI
3.769 * [taylor]: Taking taylor expansion of n in n
3.769 * [backup-simplify]: Simplify 0 into 0
3.769 * [backup-simplify]: Simplify 1 into 1
3.770 * [backup-simplify]: Simplify (/ PI 1) into PI
3.770 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.771 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.771 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.771 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
3.772 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.772 * [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)))
3.773 * [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))))
3.773 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
3.773 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
3.773 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
3.773 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
3.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
3.773 * [taylor]: Taking taylor expansion of 1/2 in n
3.773 * [backup-simplify]: Simplify 1/2 into 1/2
3.773 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.773 * [taylor]: Taking taylor expansion of k in n
3.773 * [backup-simplify]: Simplify k into k
3.773 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.773 * [taylor]: Taking taylor expansion of 1/2 in n
3.773 * [backup-simplify]: Simplify 1/2 into 1/2
3.773 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
3.774 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.774 * [taylor]: Taking taylor expansion of -2 in n
3.774 * [backup-simplify]: Simplify -2 into -2
3.774 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.774 * [taylor]: Taking taylor expansion of PI in n
3.774 * [backup-simplify]: Simplify PI into PI
3.774 * [taylor]: Taking taylor expansion of n in n
3.774 * [backup-simplify]: Simplify 0 into 0
3.774 * [backup-simplify]: Simplify 1 into 1
3.774 * [backup-simplify]: Simplify (/ PI 1) into PI
3.774 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.775 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.775 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
3.775 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
3.776 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.777 * [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)))
3.777 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
3.777 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
3.777 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
3.778 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
3.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
3.778 * [taylor]: Taking taylor expansion of 1/2 in k
3.778 * [backup-simplify]: Simplify 1/2 into 1/2
3.778 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.778 * [taylor]: Taking taylor expansion of k in k
3.778 * [backup-simplify]: Simplify 0 into 0
3.778 * [backup-simplify]: Simplify 1 into 1
3.778 * [backup-simplify]: Simplify (/ 1 1) into 1
3.778 * [taylor]: Taking taylor expansion of 1/2 in k
3.778 * [backup-simplify]: Simplify 1/2 into 1/2
3.778 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
3.778 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
3.778 * [taylor]: Taking taylor expansion of (* -2 PI) in k
3.778 * [taylor]: Taking taylor expansion of -2 in k
3.778 * [backup-simplify]: Simplify -2 into -2
3.778 * [taylor]: Taking taylor expansion of PI in k
3.778 * [backup-simplify]: Simplify PI into PI
3.778 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.779 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
3.779 * [taylor]: Taking taylor expansion of (log n) in k
3.779 * [taylor]: Taking taylor expansion of n in k
3.779 * [backup-simplify]: Simplify n into n
3.779 * [backup-simplify]: Simplify (log n) into (log n)
3.779 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.780 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.780 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
3.780 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
3.781 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
3.782 * [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))))
3.783 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
3.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.785 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
3.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
3.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
3.787 * [backup-simplify]: Simplify (+ 0 0) into 0
3.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.790 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
3.792 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.792 * [taylor]: Taking taylor expansion of 0 in k
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify 0 into 0
3.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.794 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
3.798 * [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
3.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
3.800 * [backup-simplify]: Simplify (+ 0 0) into 0
3.801 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.803 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
3.805 * [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
3.805 * [taylor]: Taking taylor expansion of 0 in k
3.805 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.808 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.814 * [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
3.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
3.815 * [backup-simplify]: Simplify (+ 0 0) into 0
3.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
3.817 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
3.819 * [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
3.819 * [taylor]: Taking taylor expansion of 0 in k
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify 0 into 0
3.820 * [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)))))
3.820 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
3.820 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
3.820 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
3.820 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.820 * [taylor]: Taking taylor expansion of 2 in n
3.820 * [backup-simplify]: Simplify 2 into 2
3.820 * [taylor]: Taking taylor expansion of (* n PI) in n
3.820 * [taylor]: Taking taylor expansion of n in n
3.820 * [backup-simplify]: Simplify 0 into 0
3.820 * [backup-simplify]: Simplify 1 into 1
3.820 * [taylor]: Taking taylor expansion of PI in n
3.820 * [backup-simplify]: Simplify PI into PI
3.820 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.820 * [taylor]: Taking taylor expansion of 2 in n
3.820 * [backup-simplify]: Simplify 2 into 2
3.820 * [taylor]: Taking taylor expansion of (* n PI) in n
3.820 * [taylor]: Taking taylor expansion of n in n
3.820 * [backup-simplify]: Simplify 0 into 0
3.820 * [backup-simplify]: Simplify 1 into 1
3.820 * [taylor]: Taking taylor expansion of PI in n
3.820 * [backup-simplify]: Simplify PI into PI
3.821 * [backup-simplify]: Simplify (* 0 PI) into 0
3.821 * [backup-simplify]: Simplify (* 2 0) into 0
3.821 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.823 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.823 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
3.824 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
3.826 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
3.826 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
3.827 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
3.827 * [backup-simplify]: Simplify 0 into 0
3.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
3.829 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
3.829 * [backup-simplify]: Simplify 0 into 0
3.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
3.831 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
3.831 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
3.833 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
3.833 * [backup-simplify]: Simplify 0 into 0
3.834 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
3.834 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
3.834 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
3.834 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.834 * [taylor]: Taking taylor expansion of 2 in n
3.834 * [backup-simplify]: Simplify 2 into 2
3.834 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.834 * [taylor]: Taking taylor expansion of PI in n
3.834 * [backup-simplify]: Simplify PI into PI
3.834 * [taylor]: Taking taylor expansion of n in n
3.834 * [backup-simplify]: Simplify 0 into 0
3.834 * [backup-simplify]: Simplify 1 into 1
3.834 * [backup-simplify]: Simplify (/ PI 1) into PI
3.834 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
3.834 * [taylor]: Taking taylor expansion of 2 in n
3.834 * [backup-simplify]: Simplify 2 into 2
3.834 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.834 * [taylor]: Taking taylor expansion of PI in n
3.834 * [backup-simplify]: Simplify PI into PI
3.834 * [taylor]: Taking taylor expansion of n in n
3.834 * [backup-simplify]: Simplify 0 into 0
3.834 * [backup-simplify]: Simplify 1 into 1
3.835 * [backup-simplify]: Simplify (/ PI 1) into PI
3.835 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.835 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.836 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.836 * [backup-simplify]: Simplify 0 into 0
3.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.838 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.838 * [backup-simplify]: Simplify 0 into 0
3.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.839 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.839 * [backup-simplify]: Simplify 0 into 0
3.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
3.841 * [backup-simplify]: Simplify 0 into 0
3.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.842 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
3.842 * [backup-simplify]: Simplify 0 into 0
3.843 * [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
3.845 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
3.845 * [backup-simplify]: Simplify 0 into 0
3.846 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
3.846 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
3.846 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
3.846 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.846 * [taylor]: Taking taylor expansion of -2 in n
3.846 * [backup-simplify]: Simplify -2 into -2
3.846 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.846 * [taylor]: Taking taylor expansion of PI in n
3.846 * [backup-simplify]: Simplify PI into PI
3.846 * [taylor]: Taking taylor expansion of n in n
3.846 * [backup-simplify]: Simplify 0 into 0
3.846 * [backup-simplify]: Simplify 1 into 1
3.847 * [backup-simplify]: Simplify (/ PI 1) into PI
3.847 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
3.847 * [taylor]: Taking taylor expansion of -2 in n
3.847 * [backup-simplify]: Simplify -2 into -2
3.847 * [taylor]: Taking taylor expansion of (/ PI n) in n
3.847 * [taylor]: Taking taylor expansion of PI in n
3.847 * [backup-simplify]: Simplify PI into PI
3.847 * [taylor]: Taking taylor expansion of n in n
3.847 * [backup-simplify]: Simplify 0 into 0
3.847 * [backup-simplify]: Simplify 1 into 1
3.848 * [backup-simplify]: Simplify (/ PI 1) into PI
3.848 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.849 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
3.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
3.850 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
3.850 * [backup-simplify]: Simplify 0 into 0
3.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.853 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
3.853 * [backup-simplify]: Simplify 0 into 0
3.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.855 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
3.855 * [backup-simplify]: Simplify 0 into 0
3.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.858 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
3.858 * [backup-simplify]: Simplify 0 into 0
3.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.860 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
3.860 * [backup-simplify]: Simplify 0 into 0
3.862 * [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
3.863 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
3.863 * [backup-simplify]: Simplify 0 into 0
3.864 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
3.864 * * * * [progress]: [ 3 / 3 ] generating series at (2)
3.864 * [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))))
3.864 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
3.864 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
3.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
3.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.865 * [taylor]: Taking taylor expansion of k in k
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify 1 into 1
3.865 * [backup-simplify]: Simplify (/ 1 1) into 1
3.865 * [backup-simplify]: Simplify (sqrt 0) into 0
3.867 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.867 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
3.867 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
3.867 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
3.867 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
3.867 * [taylor]: Taking taylor expansion of 1/2 in k
3.867 * [backup-simplify]: Simplify 1/2 into 1/2
3.867 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
3.867 * [taylor]: Taking taylor expansion of 1/2 in k
3.867 * [backup-simplify]: Simplify 1/2 into 1/2
3.867 * [taylor]: Taking taylor expansion of k in k
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 1 into 1
3.867 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
3.867 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
3.867 * [taylor]: Taking taylor expansion of 2 in k
3.867 * [backup-simplify]: Simplify 2 into 2
3.868 * [taylor]: Taking taylor expansion of (* n PI) in k
3.868 * [taylor]: Taking taylor expansion of n in k
3.868 * [backup-simplify]: Simplify n into n
3.868 * [taylor]: Taking taylor expansion of PI in k
3.868 * [backup-simplify]: Simplify PI into PI
3.868 * [backup-simplify]: Simplify (* n PI) into (* n PI)
3.868 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
3.868 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
3.868 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.869 * [backup-simplify]: Simplify (- 0) into 0
3.872 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.872 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
3.872 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
3.872 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
3.872 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
3.872 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.872 * [taylor]: Taking taylor expansion of k in n
3.872 * [backup-simplify]: Simplify k into k
3.872 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.872 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
3.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
3.873 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
3.873 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
3.873 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
3.873 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
3.873 * [taylor]: Taking taylor expansion of 1/2 in n
3.873 * [backup-simplify]: Simplify 1/2 into 1/2
3.873 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
3.873 * [taylor]: Taking taylor expansion of 1/2 in n
3.873 * [backup-simplify]: Simplify 1/2 into 1/2
3.873 * [taylor]: Taking taylor expansion of k in n
3.873 * [backup-simplify]: Simplify k into k
3.873 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
3.873 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.873 * [taylor]: Taking taylor expansion of 2 in n
3.873 * [backup-simplify]: Simplify 2 into 2
3.873 * [taylor]: Taking taylor expansion of (* n PI) in n
3.873 * [taylor]: Taking taylor expansion of n in n
3.873 * [backup-simplify]: Simplify 0 into 0
3.873 * [backup-simplify]: Simplify 1 into 1
3.873 * [taylor]: Taking taylor expansion of PI in n
3.873 * [backup-simplify]: Simplify PI into PI
3.874 * [backup-simplify]: Simplify (* 0 PI) into 0
3.874 * [backup-simplify]: Simplify (* 2 0) into 0
3.876 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.878 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.879 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.879 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
3.879 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
3.879 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
3.881 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.882 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
3.883 * [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)))))
3.883 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
3.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
3.883 * [taylor]: Taking taylor expansion of (/ 1 k) in n
3.883 * [taylor]: Taking taylor expansion of k in n
3.883 * [backup-simplify]: Simplify k into k
3.883 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
3.883 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
3.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
3.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
3.884 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
3.884 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
3.884 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
3.884 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
3.884 * [taylor]: Taking taylor expansion of 1/2 in n
3.884 * [backup-simplify]: Simplify 1/2 into 1/2
3.884 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
3.884 * [taylor]: Taking taylor expansion of 1/2 in n
3.884 * [backup-simplify]: Simplify 1/2 into 1/2
3.884 * [taylor]: Taking taylor expansion of k in n
3.884 * [backup-simplify]: Simplify k into k
3.884 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
3.884 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
3.884 * [taylor]: Taking taylor expansion of 2 in n
3.884 * [backup-simplify]: Simplify 2 into 2
3.884 * [taylor]: Taking taylor expansion of (* n PI) in n
3.884 * [taylor]: Taking taylor expansion of n in n
3.884 * [backup-simplify]: Simplify 0 into 0
3.884 * [backup-simplify]: Simplify 1 into 1
3.884 * [taylor]: Taking taylor expansion of PI in n
3.884 * [backup-simplify]: Simplify PI into PI
3.885 * [backup-simplify]: Simplify (* 0 PI) into 0
3.885 * [backup-simplify]: Simplify (* 2 0) into 0
3.887 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
3.888 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
3.889 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.889 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
3.890 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
3.890 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
3.891 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.893 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
3.894 * [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)))))
3.895 * [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)))
3.895 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
3.895 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
3.895 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
3.895 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
3.895 * [taylor]: Taking taylor expansion of 1/2 in k
3.895 * [backup-simplify]: Simplify 1/2 into 1/2
3.895 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
3.895 * [taylor]: Taking taylor expansion of 1/2 in k
3.895 * [backup-simplify]: Simplify 1/2 into 1/2
3.895 * [taylor]: Taking taylor expansion of k in k
3.895 * [backup-simplify]: Simplify 0 into 0
3.895 * [backup-simplify]: Simplify 1 into 1
3.895 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
3.896 * [taylor]: Taking taylor expansion of (log n) in k
3.896 * [taylor]: Taking taylor expansion of n in k
3.896 * [backup-simplify]: Simplify n into n
3.896 * [backup-simplify]: Simplify (log n) into (log n)
3.896 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
3.896 * [taylor]: Taking taylor expansion of (* 2 PI) in k
3.896 * [taylor]: Taking taylor expansion of 2 in k
3.896 * [backup-simplify]: Simplify 2 into 2
3.896 * [taylor]: Taking taylor expansion of PI in k
3.896 * [backup-simplify]: Simplify PI into PI
3.896 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
3.898 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
3.898 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.898 * [backup-simplify]: Simplify (- 0) into 0
3.899 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.900 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.901 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
3.902 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
3.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
3.902 * [taylor]: Taking taylor expansion of (/ 1 k) in k
3.902 * [taylor]: Taking taylor expansion of k in k
3.902 * [backup-simplify]: Simplify 0 into 0
3.902 * [backup-simplify]: Simplify 1 into 1
3.903 * [backup-simplify]: Simplify (/ 1 1) into 1
3.903 * [backup-simplify]: Simplify (sqrt 0) into 0
3.905 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.906 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
3.906 * [backup-simplify]: Simplify 0 into 0
3.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
3.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
3.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
3.911 * [backup-simplify]: Simplify (- 0) into 0
3.911 * [backup-simplify]: Simplify (+ 0 0) into 0
3.913 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.914 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
3.916 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.917 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
3.917 * [taylor]: Taking taylor expansion of 0 in k
3.917 * [backup-simplify]: Simplify 0 into 0
3.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
3.919 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
3.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
3.921 * [backup-simplify]: Simplify (+ 0 0) into 0
3.922 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.922 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.923 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
3.927 * [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)))))))
3.931 * [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)))))))
3.933 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
3.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
3.936 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
3.939 * [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
3.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
3.941 * [backup-simplify]: Simplify (- 0) into 0
3.941 * [backup-simplify]: Simplify (+ 0 0) into 0
3.943 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.944 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
3.947 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
3.948 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
3.949 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
3.949 * [taylor]: Taking taylor expansion of 0 in k
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.953 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
3.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
3.959 * [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
3.960 * [backup-simplify]: Simplify (+ 0 0) into 0
3.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.961 * [backup-simplify]: Simplify (- 0) into 0
3.961 * [backup-simplify]: Simplify (+ 0 0) into 0
3.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
3.967 * [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)))))
3.977 * [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))))))))
3.982 * [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))))))))
3.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
3.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
3.991 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
3.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
3.993 * [backup-simplify]: Simplify (- 0) into 0
3.993 * [backup-simplify]: Simplify (+ 0 0) into 0
3.995 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
3.997 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
4.000 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
4.003 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
4.003 * [taylor]: Taking taylor expansion of 0 in k
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 0 into 0
4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.011 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
4.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.021 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
4.022 * [backup-simplify]: Simplify (+ 0 0) into 0
4.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.023 * [backup-simplify]: Simplify (- 0) into 0
4.023 * [backup-simplify]: Simplify (+ 0 0) into 0
4.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
4.033 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
4.050 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
4.061 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
4.073 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
4.073 * [backup-simplify]: Simplify (/ (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
4.073 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
4.073 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
4.073 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.073 * [taylor]: Taking taylor expansion of k in k
4.073 * [backup-simplify]: Simplify 0 into 0
4.073 * [backup-simplify]: Simplify 1 into 1
4.073 * [backup-simplify]: Simplify (sqrt 0) into 0
4.074 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.074 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
4.074 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
4.074 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
4.074 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
4.074 * [taylor]: Taking taylor expansion of 1/2 in k
4.074 * [backup-simplify]: Simplify 1/2 into 1/2
4.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.074 * [taylor]: Taking taylor expansion of 1/2 in k
4.074 * [backup-simplify]: Simplify 1/2 into 1/2
4.074 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.074 * [taylor]: Taking taylor expansion of k in k
4.074 * [backup-simplify]: Simplify 0 into 0
4.074 * [backup-simplify]: Simplify 1 into 1
4.075 * [backup-simplify]: Simplify (/ 1 1) into 1
4.075 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
4.075 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
4.075 * [taylor]: Taking taylor expansion of 2 in k
4.075 * [backup-simplify]: Simplify 2 into 2
4.075 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.075 * [taylor]: Taking taylor expansion of PI in k
4.075 * [backup-simplify]: Simplify PI into PI
4.075 * [taylor]: Taking taylor expansion of n in k
4.075 * [backup-simplify]: Simplify n into n
4.075 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.075 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
4.075 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
4.075 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.075 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.076 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
4.076 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
4.076 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
4.076 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
4.076 * [taylor]: Taking taylor expansion of (sqrt k) in n
4.076 * [taylor]: Taking taylor expansion of k in n
4.076 * [backup-simplify]: Simplify k into k
4.076 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
4.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
4.076 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
4.076 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.076 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.076 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
4.076 * [taylor]: Taking taylor expansion of 1/2 in n
4.076 * [backup-simplify]: Simplify 1/2 into 1/2
4.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.076 * [taylor]: Taking taylor expansion of 1/2 in n
4.076 * [backup-simplify]: Simplify 1/2 into 1/2
4.076 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.076 * [taylor]: Taking taylor expansion of k in n
4.076 * [backup-simplify]: Simplify k into k
4.076 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.076 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.076 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.076 * [taylor]: Taking taylor expansion of 2 in n
4.076 * [backup-simplify]: Simplify 2 into 2
4.076 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.076 * [taylor]: Taking taylor expansion of PI in n
4.076 * [backup-simplify]: Simplify PI into PI
4.076 * [taylor]: Taking taylor expansion of n in n
4.076 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify 1 into 1
4.077 * [backup-simplify]: Simplify (/ PI 1) into PI
4.077 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.078 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.078 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.078 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
4.078 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
4.079 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.079 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
4.080 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
4.080 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
4.080 * [taylor]: Taking taylor expansion of (sqrt k) in n
4.080 * [taylor]: Taking taylor expansion of k in n
4.080 * [backup-simplify]: Simplify k into k
4.080 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
4.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
4.080 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
4.080 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.080 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.080 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
4.080 * [taylor]: Taking taylor expansion of 1/2 in n
4.080 * [backup-simplify]: Simplify 1/2 into 1/2
4.080 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.080 * [taylor]: Taking taylor expansion of 1/2 in n
4.080 * [backup-simplify]: Simplify 1/2 into 1/2
4.080 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.080 * [taylor]: Taking taylor expansion of k in n
4.081 * [backup-simplify]: Simplify k into k
4.081 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.081 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.081 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.081 * [taylor]: Taking taylor expansion of 2 in n
4.081 * [backup-simplify]: Simplify 2 into 2
4.081 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.081 * [taylor]: Taking taylor expansion of PI in n
4.081 * [backup-simplify]: Simplify PI into PI
4.081 * [taylor]: Taking taylor expansion of n in n
4.081 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify 1 into 1
4.081 * [backup-simplify]: Simplify (/ PI 1) into PI
4.081 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.082 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.082 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.082 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
4.082 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
4.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.084 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
4.085 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
4.087 * [backup-simplify]: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
4.087 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
4.087 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
4.087 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
4.087 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
4.087 * [taylor]: Taking taylor expansion of 1/2 in k
4.087 * [backup-simplify]: Simplify 1/2 into 1/2
4.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.087 * [taylor]: Taking taylor expansion of 1/2 in k
4.087 * [backup-simplify]: Simplify 1/2 into 1/2
4.087 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.087 * [taylor]: Taking taylor expansion of k in k
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify 1 into 1
4.087 * [backup-simplify]: Simplify (/ 1 1) into 1
4.087 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
4.087 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
4.087 * [taylor]: Taking taylor expansion of (* 2 PI) in k
4.087 * [taylor]: Taking taylor expansion of 2 in k
4.087 * [backup-simplify]: Simplify 2 into 2
4.087 * [taylor]: Taking taylor expansion of PI in k
4.087 * [backup-simplify]: Simplify PI into PI
4.088 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.089 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.089 * [taylor]: Taking taylor expansion of (log n) in k
4.089 * [taylor]: Taking taylor expansion of n in k
4.089 * [backup-simplify]: Simplify n into n
4.089 * [backup-simplify]: Simplify (log n) into (log n)
4.089 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.090 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.090 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
4.090 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
4.091 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
4.092 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
4.093 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
4.094 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.094 * [taylor]: Taking taylor expansion of k in k
4.094 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify 1 into 1
4.094 * [backup-simplify]: Simplify (sqrt 0) into 0
4.095 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.096 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
4.096 * [backup-simplify]: Simplify 0 into 0
4.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.098 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
4.100 * [backup-simplify]: Simplify (- 0) into 0
4.101 * [backup-simplify]: Simplify (+ 0 0) into 0
4.102 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.103 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
4.105 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.106 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
4.106 * [taylor]: Taking taylor expansion of 0 in k
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
4.109 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
4.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.113 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
4.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
4.115 * [backup-simplify]: Simplify (- 0) into 0
4.115 * [backup-simplify]: Simplify (+ 0 0) into 0
4.116 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.118 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
4.120 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.121 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
4.122 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
4.122 * [taylor]: Taking taylor expansion of 0 in k
4.122 * [backup-simplify]: Simplify 0 into 0
4.122 * [backup-simplify]: Simplify 0 into 0
4.122 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.126 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
4.128 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
4.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.130 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.137 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
4.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
4.138 * [backup-simplify]: Simplify (- 0) into 0
4.138 * [backup-simplify]: Simplify (+ 0 0) into 0
4.139 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.140 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
4.142 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
4.144 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
4.144 * [taylor]: Taking taylor expansion of 0 in k
4.144 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.147 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
4.148 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
4.151 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
4.151 * [backup-simplify]: Simplify (/ (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
4.151 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
4.151 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
4.151 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
4.151 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
4.151 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
4.151 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
4.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.151 * [taylor]: Taking taylor expansion of 1/2 in k
4.151 * [backup-simplify]: Simplify 1/2 into 1/2
4.151 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.151 * [taylor]: Taking taylor expansion of k in k
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify 1 into 1
4.152 * [backup-simplify]: Simplify (/ 1 1) into 1
4.152 * [taylor]: Taking taylor expansion of 1/2 in k
4.152 * [backup-simplify]: Simplify 1/2 into 1/2
4.152 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
4.152 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
4.152 * [taylor]: Taking taylor expansion of -2 in k
4.152 * [backup-simplify]: Simplify -2 into -2
4.152 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.152 * [taylor]: Taking taylor expansion of PI in k
4.152 * [backup-simplify]: Simplify PI into PI
4.152 * [taylor]: Taking taylor expansion of n in k
4.152 * [backup-simplify]: Simplify n into n
4.152 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.152 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
4.152 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
4.152 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.153 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.153 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
4.153 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
4.153 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
4.153 * [taylor]: Taking taylor expansion of (/ -1 k) in k
4.153 * [taylor]: Taking taylor expansion of -1 in k
4.153 * [backup-simplify]: Simplify -1 into -1
4.153 * [taylor]: Taking taylor expansion of k in k
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify 1 into 1
4.153 * [backup-simplify]: Simplify (/ -1 1) into -1
4.154 * [backup-simplify]: Simplify (sqrt 0) into 0
4.154 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
4.154 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
4.154 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
4.155 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
4.155 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
4.155 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
4.155 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
4.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.155 * [taylor]: Taking taylor expansion of 1/2 in n
4.155 * [backup-simplify]: Simplify 1/2 into 1/2
4.155 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.155 * [taylor]: Taking taylor expansion of k in n
4.155 * [backup-simplify]: Simplify k into k
4.155 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.155 * [taylor]: Taking taylor expansion of 1/2 in n
4.155 * [backup-simplify]: Simplify 1/2 into 1/2
4.155 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
4.155 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.155 * [taylor]: Taking taylor expansion of -2 in n
4.155 * [backup-simplify]: Simplify -2 into -2
4.155 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.155 * [taylor]: Taking taylor expansion of PI in n
4.155 * [backup-simplify]: Simplify PI into PI
4.155 * [taylor]: Taking taylor expansion of n in n
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 1 into 1
4.155 * [backup-simplify]: Simplify (/ PI 1) into PI
4.155 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.156 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.156 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.156 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
4.157 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.158 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
4.159 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
4.159 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
4.159 * [taylor]: Taking taylor expansion of (/ -1 k) in n
4.159 * [taylor]: Taking taylor expansion of -1 in n
4.159 * [backup-simplify]: Simplify -1 into -1
4.159 * [taylor]: Taking taylor expansion of k in n
4.159 * [backup-simplify]: Simplify k into k
4.159 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
4.159 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
4.159 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
4.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
4.160 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
4.160 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
4.160 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
4.160 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
4.160 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
4.160 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
4.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.160 * [taylor]: Taking taylor expansion of 1/2 in n
4.160 * [backup-simplify]: Simplify 1/2 into 1/2
4.160 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.160 * [taylor]: Taking taylor expansion of k in n
4.160 * [backup-simplify]: Simplify k into k
4.160 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.160 * [taylor]: Taking taylor expansion of 1/2 in n
4.160 * [backup-simplify]: Simplify 1/2 into 1/2
4.160 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
4.160 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.160 * [taylor]: Taking taylor expansion of -2 in n
4.160 * [backup-simplify]: Simplify -2 into -2
4.160 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.160 * [taylor]: Taking taylor expansion of PI in n
4.160 * [backup-simplify]: Simplify PI into PI
4.160 * [taylor]: Taking taylor expansion of n in n
4.160 * [backup-simplify]: Simplify 0 into 0
4.160 * [backup-simplify]: Simplify 1 into 1
4.160 * [backup-simplify]: Simplify (/ PI 1) into PI
4.161 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.161 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.161 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.161 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
4.162 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.164 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
4.165 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
4.165 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
4.165 * [taylor]: Taking taylor expansion of (/ -1 k) in n
4.165 * [taylor]: Taking taylor expansion of -1 in n
4.165 * [backup-simplify]: Simplify -1 into -1
4.165 * [taylor]: Taking taylor expansion of k in n
4.165 * [backup-simplify]: Simplify k into k
4.165 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
4.165 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
4.165 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
4.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
4.166 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
4.167 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
4.167 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
4.167 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
4.167 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
4.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.167 * [taylor]: Taking taylor expansion of 1/2 in k
4.167 * [backup-simplify]: Simplify 1/2 into 1/2
4.167 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.167 * [taylor]: Taking taylor expansion of k in k
4.167 * [backup-simplify]: Simplify 0 into 0
4.167 * [backup-simplify]: Simplify 1 into 1
4.167 * [backup-simplify]: Simplify (/ 1 1) into 1
4.167 * [taylor]: Taking taylor expansion of 1/2 in k
4.167 * [backup-simplify]: Simplify 1/2 into 1/2
4.167 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
4.167 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
4.167 * [taylor]: Taking taylor expansion of (* -2 PI) in k
4.167 * [taylor]: Taking taylor expansion of -2 in k
4.167 * [backup-simplify]: Simplify -2 into -2
4.167 * [taylor]: Taking taylor expansion of PI in k
4.167 * [backup-simplify]: Simplify PI into PI
4.168 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.169 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.169 * [taylor]: Taking taylor expansion of (log n) in k
4.169 * [taylor]: Taking taylor expansion of n in k
4.169 * [backup-simplify]: Simplify n into n
4.169 * [backup-simplify]: Simplify (log n) into (log n)
4.169 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.170 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.170 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
4.171 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
4.172 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
4.173 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
4.173 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
4.173 * [taylor]: Taking taylor expansion of (/ -1 k) in k
4.173 * [taylor]: Taking taylor expansion of -1 in k
4.173 * [backup-simplify]: Simplify -1 into -1
4.173 * [taylor]: Taking taylor expansion of k in k
4.173 * [backup-simplify]: Simplify 0 into 0
4.173 * [backup-simplify]: Simplify 1 into 1
4.174 * [backup-simplify]: Simplify (/ -1 1) into -1
4.174 * [backup-simplify]: Simplify (sqrt 0) into 0
4.175 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
4.176 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
4.177 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
4.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.179 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
4.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
4.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
4.182 * [backup-simplify]: Simplify (+ 0 0) into 0
4.183 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.185 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
4.186 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.188 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
4.188 * [taylor]: Taking taylor expansion of 0 in k
4.188 * [backup-simplify]: Simplify 0 into 0
4.188 * [backup-simplify]: Simplify 0 into 0
4.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.192 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.194 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
4.196 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
4.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.198 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
4.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
4.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
4.204 * [backup-simplify]: Simplify (+ 0 0) into 0
4.205 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.207 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
4.210 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.210 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.211 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
4.212 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
4.212 * [taylor]: Taking taylor expansion of 0 in k
4.212 * [backup-simplify]: Simplify 0 into 0
4.212 * [backup-simplify]: Simplify 0 into 0
4.212 * [backup-simplify]: Simplify 0 into 0
4.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.222 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
4.223 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
4.227 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
4.227 * * * [progress]: simplifying candidates
4.228 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
4.228 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
4.228 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
4.228 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
4.228 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
4.228 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
4.228 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
4.228 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
4.228 * * * * [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)))>
4.228 * * * * [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)))>
4.228 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
4.228 * * * * [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)))>
4.228 * * * * [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)))>
4.228 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
4.228 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
4.228 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
4.229 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
4.229 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
4.229 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
4.229 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
4.229 * * * * [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)))>
4.229 * * * * [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)))>
4.229 * * * * [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)))>
4.229 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))>
4.229 * * * * [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)))>
4.229 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
4.229 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
4.229 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
4.229 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
4.229 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.229 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.229 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.229 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.230 * * * * [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)))>
4.230 * * * * [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)))>
4.230 * * * * [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)))>
4.230 * * * * [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)))>
4.230 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.230 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.230 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.230 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.230 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2))) (sqrt k)))>
4.230 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.230 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
4.230 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
4.230 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1))>
4.230 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
4.230 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
4.230 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
4.231 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
4.231 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
4.231 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
4.231 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
4.231 * * * * [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)))))>
4.231 * * * * [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)))))>
4.231 * * * * [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)))))>
4.231 * * * * [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)))))>
4.231 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (sqrt k))))>
4.231 * * * * [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)))))>
4.231 * * * * [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)))))>
4.231 * * * * [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)))))>
4.231 * * * * [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))))>
4.231 * * * * [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)))))>
4.231 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
4.231 * * * * [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)))))>
4.231 * * * * [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)))))>
4.232 * * * * [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)))))>
4.232 * * * * [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))))>
4.232 * * * * [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)))))>
4.232 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
4.232 * * * * [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)))))>
4.232 * * * * [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)))))>
4.232 * * * * [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)))))>
4.232 * * * * [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))))>
4.232 * * * * [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)))))>
4.232 * * * * [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))))>
4.232 * * * * [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)))))>
4.232 * * * * [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)))))>
4.232 * * * * [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)))))>
4.232 * * * * [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))))>
4.232 * * * * [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)))))>
4.233 * * * * [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))))>
4.233 * * * * [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)))))>
4.233 * * * * [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)))))>
4.233 * * * * [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)))))>
4.233 * * * * [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))))>
4.233 * * * * [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)))))>
4.233 * * * * [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))))>
4.233 * * * * [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)))))>
4.233 * * * * [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)))))>
4.233 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
4.233 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
4.233 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
4.233 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
4.233 * * * * [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)))))>
4.233 * * * * [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)))))>
4.233 * * * * [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)))))>
4.234 * * * * [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))))>
4.234 * * * * [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)))))>
4.234 * * * * [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))))>
4.234 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
4.234 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
4.234 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
4.234 * * * * [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))))>
4.234 * * * * [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))))>
4.234 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
4.234 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
4.234 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
4.234 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
4.234 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
4.234 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
4.234 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
4.234 * * * * [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)))))))>
4.235 * * * * [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)))))))>
4.235 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
4.235 * * * * [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)))))>
4.235 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
4.235 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
4.235 * * * * [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)))>
4.235 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
4.235 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
4.235 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.235 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.235 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
4.235 * * * * [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)))))))))))))))))))))))>
4.235 * * * * [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)))))))))>
4.235 * * * * [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))))))))))))>
4.238 * [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)))))))))))
4.244 * * [simplify]: iteration 0: 271 enodes
4.360 * * [simplify]: iteration 1: 662 enodes
4.640 * * [simplify]: iteration 2: 2241 enodes
5.515 * * [simplify]: iteration complete: 5008 enodes
5.515 * * [simplify]: Extracting #0: cost 96 inf + 0
5.517 * * [simplify]: Extracting #1: cost 556 inf + 1
5.524 * * [simplify]: Extracting #2: cost 1197 inf + 932
5.538 * * [simplify]: Extracting #3: cost 1527 inf + 33350
5.572 * * [simplify]: Extracting #4: cost 1063 inf + 205576
5.681 * * [simplify]: Extracting #5: cost 381 inf + 501395
5.863 * * [simplify]: Extracting #6: cost 148 inf + 646155
6.098 * * [simplify]: Extracting #7: cost 56 inf + 693103
6.329 * * [simplify]: Extracting #8: cost 3 inf + 723366
6.535 * * [simplify]: Extracting #9: cost 0 inf + 713906
6.737 * * [simplify]: Extracting #10: cost 0 inf + 709106
6.912 * * [simplify]: Extracting #11: cost 0 inf + 708436
7.091 * [simplify]: Simplified to:
  (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))
  (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))
  (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))
  (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))
  (- 1/2 (* 1/2 k))
  (- 1/2 (* 1/2 k))
  (- 1/2 (* 1/2 k))
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow (* (* 2 PI) n) (sqrt (- 1/2 (* 1/2 k))))
  (* (* 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) (* -1/2 k))
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (* -1/2 k))
  (pow (* n 2) (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))
  (exp (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (* (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (* (* (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))
  (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))
  (real->posit16 (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (log (* (* 2 PI) n))
  (log (* (* 2 PI) n))
  (log (* (* 2 PI) n))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* 2 PI) n) (* (* (* 2 PI) n) (* (* 2 PI) n)))
  (* (* (* 2 PI) n) (* (* (* 2 PI) n) (* (* 2 PI) n)))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* 2 PI) n) (* (* (* 2 PI) n) (* (* 2 PI) n)))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* (cbrt PI) (* n 2)) (cbrt PI))
  (* 2 (* n (sqrt PI)))
  (* n 2)
  (* 2 PI)
  (real->posit16 (* (* 2 PI) n))
  (- (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (exp (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (* (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) k) (* (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k))))
  (* (cbrt (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k))) (cbrt (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k))))
  (cbrt (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (* (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)) (* (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)) (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k))))
  (sqrt (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (sqrt (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (- (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (- (sqrt k))
  (/ (/ (sqrt (* (* 2 PI) n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (cbrt (sqrt k)))
  (/ (sqrt (* (* 2 PI) n)) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt (cbrt k)))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt k))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt k))
  (/ (/ (sqrt (* (* 2 PI) n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (cbrt (sqrt k)))
  (/ (sqrt (* (* 2 PI) n)) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt (cbrt k)))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt k))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (* -1/2 k)) (sqrt k))
  (/ (/ (pow (* n 2) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (* 1/2 k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (* 1/2 k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))
  (* (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (sqrt k))) (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (sqrt k))))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (sqrt k)))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (/ (fabs (cbrt k)) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (cbrt k)))
  (* (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (* (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt k))
  (* (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (* (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (/ (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt k))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (cbrt (sqrt k)))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (fabs (cbrt k)))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (cbrt k)))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt k))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
  (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (/ (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  1
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  1
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt k))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (/ (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (fabs (cbrt k)))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))
  (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (* -1/2 k)))
  (/ (sqrt k) (pow (* (* 2 PI) n) (* -1/2 k)))
  (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (cbrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (/ (sqrt k) (sqrt (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))))
  (/ (sqrt k) (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))
  (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
  (real->posit16 (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
  (- (+ (+ (* (log (* 2 PI)) (* (* (* (* k k) (log n)) (sqrt (* (* 2 PI) n))) 1/4)) (sqrt (* (* 2 PI) n))) (* (* (* k k) 1/8) (+ (* (sqrt (* (* 2 PI) n)) (* (log (* 2 PI)) (log (* 2 PI)))) (* (sqrt (* (* 2 PI) n)) (* (log n) (log n)))))) (/ (* (* k (sqrt (* (* 2 PI) n))) (log (* (* 2 PI) n))) 2))
  (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* PI -2)) (log (/ -1 n)))))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (+ (+ (* (- (log (* 2 PI))) (* (* (* k k) (* +nan.0 (sqrt (* (* 2 PI) n)))) (log n))) (* (* (* k k) (* +nan.0 (sqrt (* (* 2 PI) n)))) (- (log (* 2 PI)) (* (log n) (log n))))) (+ (+ (- (* k (* +nan.0 (sqrt (* (* 2 PI) n)))) (* +nan.0 (sqrt (* (* 2 PI) n)))) (* (* (* k k) (* +nan.0 (sqrt (* (* 2 PI) n)))) (- (* (log (* 2 PI)) (log (* 2 PI))) (log n)))) (- (* (* k k) (* +nan.0 (sqrt (* (* 2 PI) n)))) (* +nan.0 (* (* k (sqrt (* (* 2 PI) n))) (- (log (* 2 PI)) (log n)))))))
  (+ (/ (* (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (- +nan.0)) (* (* k k) k)) (* +nan.0 (- (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) k) (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* 1/2 k)))) (* k k)))))
  (+ (- (* (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* PI -2)) (log (/ -1 n))))) k) +nan.0)) (* +nan.0 (- (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) (exp (* (- 1/2 (* 1/2 k)) (- (log (* PI -2)) (log (/ -1 n))))))))
7.101 * * * [progress]: adding candidates to table
7.677 * * [progress]: iteration 2 / 4
7.677 * * * [progress]: picking best candidate
7.725 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
7.725 * * * [progress]: localizing error
7.757 * * * [progress]: generating rewritten candidates
7.757 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
7.776 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
7.781 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
7.826 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
7.865 * * * [progress]: generating series expansions
7.865 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
7.865 * [backup-simplify]: Simplify (pow (* n 2) (- 1/2 (* 1/2 k))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
7.865 * [approximate]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
7.865 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
7.865 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
7.865 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
7.866 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.866 * [taylor]: Taking taylor expansion of 1/2 in k
7.866 * [backup-simplify]: Simplify 1/2 into 1/2
7.866 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.866 * [taylor]: Taking taylor expansion of 1/2 in k
7.866 * [backup-simplify]: Simplify 1/2 into 1/2
7.866 * [taylor]: Taking taylor expansion of k in k
7.866 * [backup-simplify]: Simplify 0 into 0
7.866 * [backup-simplify]: Simplify 1 into 1
7.866 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
7.866 * [taylor]: Taking taylor expansion of (* 2 n) in k
7.866 * [taylor]: Taking taylor expansion of 2 in k
7.866 * [backup-simplify]: Simplify 2 into 2
7.866 * [taylor]: Taking taylor expansion of n in k
7.866 * [backup-simplify]: Simplify n into n
7.866 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
7.866 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
7.867 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.867 * [backup-simplify]: Simplify (- 0) into 0
7.868 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.868 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
7.868 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
7.868 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
7.868 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
7.868 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
7.868 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
7.868 * [taylor]: Taking taylor expansion of 1/2 in n
7.868 * [backup-simplify]: Simplify 1/2 into 1/2
7.868 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
7.868 * [taylor]: Taking taylor expansion of 1/2 in n
7.868 * [backup-simplify]: Simplify 1/2 into 1/2
7.868 * [taylor]: Taking taylor expansion of k in n
7.868 * [backup-simplify]: Simplify k into k
7.868 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
7.868 * [taylor]: Taking taylor expansion of (* 2 n) in n
7.868 * [taylor]: Taking taylor expansion of 2 in n
7.868 * [backup-simplify]: Simplify 2 into 2
7.868 * [taylor]: Taking taylor expansion of n in n
7.868 * [backup-simplify]: Simplify 0 into 0
7.868 * [backup-simplify]: Simplify 1 into 1
7.869 * [backup-simplify]: Simplify (* 2 0) into 0
7.869 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
7.870 * [backup-simplify]: Simplify (log 2) into (log 2)
7.870 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
7.870 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
7.870 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
7.871 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
7.871 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
7.872 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
7.872 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
7.872 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
7.872 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
7.872 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
7.872 * [taylor]: Taking taylor expansion of 1/2 in n
7.872 * [backup-simplify]: Simplify 1/2 into 1/2
7.872 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
7.872 * [taylor]: Taking taylor expansion of 1/2 in n
7.872 * [backup-simplify]: Simplify 1/2 into 1/2
7.872 * [taylor]: Taking taylor expansion of k in n
7.872 * [backup-simplify]: Simplify k into k
7.872 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
7.872 * [taylor]: Taking taylor expansion of (* 2 n) in n
7.872 * [taylor]: Taking taylor expansion of 2 in n
7.872 * [backup-simplify]: Simplify 2 into 2
7.872 * [taylor]: Taking taylor expansion of n in n
7.872 * [backup-simplify]: Simplify 0 into 0
7.872 * [backup-simplify]: Simplify 1 into 1
7.872 * [backup-simplify]: Simplify (* 2 0) into 0
7.873 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
7.874 * [backup-simplify]: Simplify (log 2) into (log 2)
7.874 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
7.874 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
7.874 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
7.875 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
7.875 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
7.876 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
7.876 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
7.876 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
7.876 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
7.876 * [taylor]: Taking taylor expansion of (log 2) in k
7.876 * [taylor]: Taking taylor expansion of 2 in k
7.876 * [backup-simplify]: Simplify 2 into 2
7.877 * [backup-simplify]: Simplify (log 2) into (log 2)
7.877 * [taylor]: Taking taylor expansion of (log n) in k
7.877 * [taylor]: Taking taylor expansion of n in k
7.877 * [backup-simplify]: Simplify n into n
7.877 * [backup-simplify]: Simplify (log n) into (log n)
7.877 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.877 * [taylor]: Taking taylor expansion of 1/2 in k
7.877 * [backup-simplify]: Simplify 1/2 into 1/2
7.877 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.877 * [taylor]: Taking taylor expansion of 1/2 in k
7.877 * [backup-simplify]: Simplify 1/2 into 1/2
7.877 * [taylor]: Taking taylor expansion of k in k
7.877 * [backup-simplify]: Simplify 0 into 0
7.877 * [backup-simplify]: Simplify 1 into 1
7.877 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
7.878 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.878 * [backup-simplify]: Simplify (- 0) into 0
7.879 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.879 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
7.880 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
7.880 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
7.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
7.882 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
7.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
7.883 * [backup-simplify]: Simplify (- 0) into 0
7.884 * [backup-simplify]: Simplify (+ 0 0) into 0
7.885 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
7.885 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
7.886 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.886 * [taylor]: Taking taylor expansion of 0 in k
7.886 * [backup-simplify]: Simplify 0 into 0
7.886 * [backup-simplify]: Simplify 0 into 0
7.887 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.887 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.888 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
7.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
7.890 * [backup-simplify]: Simplify (+ 0 0) into 0
7.891 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
7.893 * [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)))))
7.894 * [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)))))
7.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.898 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
7.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
7.900 * [backup-simplify]: Simplify (- 0) into 0
7.900 * [backup-simplify]: Simplify (+ 0 0) into 0
7.901 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
7.902 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
7.903 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.903 * [taylor]: Taking taylor expansion of 0 in k
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 0 into 0
7.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.905 * [backup-simplify]: Simplify (- 0) into 0
7.905 * [backup-simplify]: Simplify (+ 0 0) into 0
7.907 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
7.908 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
7.909 * [backup-simplify]: Simplify (+ 0 0) into 0
7.909 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
7.911 * [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)))))
7.912 * [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)))))
7.915 * [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)))))
7.916 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2) (- 1/2 (* 1/2 (/ 1 k)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
7.916 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
7.916 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
7.916 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
7.916 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
7.916 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
7.916 * [taylor]: Taking taylor expansion of 1/2 in k
7.916 * [backup-simplify]: Simplify 1/2 into 1/2
7.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.916 * [taylor]: Taking taylor expansion of 1/2 in k
7.916 * [backup-simplify]: Simplify 1/2 into 1/2
7.916 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.916 * [taylor]: Taking taylor expansion of k in k
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify 1 into 1
7.916 * [backup-simplify]: Simplify (/ 1 1) into 1
7.916 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
7.916 * [taylor]: Taking taylor expansion of (/ 2 n) in k
7.916 * [taylor]: Taking taylor expansion of 2 in k
7.916 * [backup-simplify]: Simplify 2 into 2
7.916 * [taylor]: Taking taylor expansion of n in k
7.916 * [backup-simplify]: Simplify n into n
7.916 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
7.916 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
7.917 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.917 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.917 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.917 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
7.917 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
7.917 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.918 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
7.918 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
7.918 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.918 * [taylor]: Taking taylor expansion of 1/2 in n
7.918 * [backup-simplify]: Simplify 1/2 into 1/2
7.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.918 * [taylor]: Taking taylor expansion of 1/2 in n
7.918 * [backup-simplify]: Simplify 1/2 into 1/2
7.918 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.918 * [taylor]: Taking taylor expansion of k in n
7.918 * [backup-simplify]: Simplify k into k
7.918 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.918 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
7.918 * [taylor]: Taking taylor expansion of (/ 2 n) in n
7.918 * [taylor]: Taking taylor expansion of 2 in n
7.918 * [backup-simplify]: Simplify 2 into 2
7.918 * [taylor]: Taking taylor expansion of n in n
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 1 into 1
7.918 * [backup-simplify]: Simplify (/ 2 1) into 2
7.918 * [backup-simplify]: Simplify (log 2) into (log 2)
7.918 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.919 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.919 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.919 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
7.919 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
7.920 * [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))))
7.920 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
7.920 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
7.920 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
7.920 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
7.920 * [taylor]: Taking taylor expansion of 1/2 in n
7.920 * [backup-simplify]: Simplify 1/2 into 1/2
7.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.920 * [taylor]: Taking taylor expansion of 1/2 in n
7.920 * [backup-simplify]: Simplify 1/2 into 1/2
7.920 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.920 * [taylor]: Taking taylor expansion of k in n
7.920 * [backup-simplify]: Simplify k into k
7.920 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.920 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
7.920 * [taylor]: Taking taylor expansion of (/ 2 n) in n
7.920 * [taylor]: Taking taylor expansion of 2 in n
7.920 * [backup-simplify]: Simplify 2 into 2
7.920 * [taylor]: Taking taylor expansion of n in n
7.920 * [backup-simplify]: Simplify 0 into 0
7.920 * [backup-simplify]: Simplify 1 into 1
7.921 * [backup-simplify]: Simplify (/ 2 1) into 2
7.921 * [backup-simplify]: Simplify (log 2) into (log 2)
7.921 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.921 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
7.921 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
7.922 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
7.922 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
7.922 * [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))))
7.922 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
7.922 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
7.922 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
7.922 * [taylor]: Taking taylor expansion of 1/2 in k
7.922 * [backup-simplify]: Simplify 1/2 into 1/2
7.922 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.922 * [taylor]: Taking taylor expansion of 1/2 in k
7.923 * [backup-simplify]: Simplify 1/2 into 1/2
7.923 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.923 * [taylor]: Taking taylor expansion of k in k
7.923 * [backup-simplify]: Simplify 0 into 0
7.923 * [backup-simplify]: Simplify 1 into 1
7.923 * [backup-simplify]: Simplify (/ 1 1) into 1
7.923 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
7.923 * [taylor]: Taking taylor expansion of (log 2) in k
7.923 * [taylor]: Taking taylor expansion of 2 in k
7.923 * [backup-simplify]: Simplify 2 into 2
7.923 * [backup-simplify]: Simplify (log 2) into (log 2)
7.923 * [taylor]: Taking taylor expansion of (log n) in k
7.923 * [taylor]: Taking taylor expansion of n in k
7.923 * [backup-simplify]: Simplify n into n
7.923 * [backup-simplify]: Simplify (log n) into (log n)
7.924 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.924 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.924 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.924 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.925 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
7.925 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
7.925 * [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))))
7.926 * [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))))
7.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
7.927 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
7.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
7.928 * [backup-simplify]: Simplify (- 0) into 0
7.928 * [backup-simplify]: Simplify (+ 0 0) into 0
7.929 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
7.929 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
7.930 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.930 * [taylor]: Taking taylor expansion of 0 in k
7.930 * [backup-simplify]: Simplify 0 into 0
7.930 * [backup-simplify]: Simplify 0 into 0
7.930 * [backup-simplify]: Simplify 0 into 0
7.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.932 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
7.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
7.933 * [backup-simplify]: Simplify (- 0) into 0
7.933 * [backup-simplify]: Simplify (+ 0 0) into 0
7.934 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
7.934 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
7.935 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.935 * [taylor]: Taking taylor expansion of 0 in k
7.935 * [backup-simplify]: Simplify 0 into 0
7.935 * [backup-simplify]: Simplify 0 into 0
7.936 * [backup-simplify]: Simplify 0 into 0
7.936 * [backup-simplify]: Simplify 0 into 0
7.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.939 * [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
7.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
7.940 * [backup-simplify]: Simplify (- 0) into 0
7.940 * [backup-simplify]: Simplify (+ 0 0) into 0
7.941 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
7.942 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
7.943 * [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
7.943 * [taylor]: Taking taylor expansion of 0 in k
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [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))))
7.944 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (* 1/2 (/ 1 (- k))))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
7.944 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
7.944 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
7.944 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
7.944 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
7.944 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
7.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.944 * [taylor]: Taking taylor expansion of 1/2 in k
7.944 * [backup-simplify]: Simplify 1/2 into 1/2
7.944 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.944 * [taylor]: Taking taylor expansion of k in k
7.944 * [backup-simplify]: Simplify 0 into 0
7.944 * [backup-simplify]: Simplify 1 into 1
7.944 * [backup-simplify]: Simplify (/ 1 1) into 1
7.944 * [taylor]: Taking taylor expansion of 1/2 in k
7.944 * [backup-simplify]: Simplify 1/2 into 1/2
7.944 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
7.944 * [taylor]: Taking taylor expansion of (/ -2 n) in k
7.944 * [taylor]: Taking taylor expansion of -2 in k
7.944 * [backup-simplify]: Simplify -2 into -2
7.944 * [taylor]: Taking taylor expansion of n in k
7.944 * [backup-simplify]: Simplify n into n
7.944 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
7.944 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
7.945 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.945 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.945 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
7.945 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
7.945 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
7.945 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
7.945 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
7.945 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
7.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.945 * [taylor]: Taking taylor expansion of 1/2 in n
7.945 * [backup-simplify]: Simplify 1/2 into 1/2
7.945 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.945 * [taylor]: Taking taylor expansion of k in n
7.945 * [backup-simplify]: Simplify k into k
7.945 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.945 * [taylor]: Taking taylor expansion of 1/2 in n
7.945 * [backup-simplify]: Simplify 1/2 into 1/2
7.945 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
7.945 * [taylor]: Taking taylor expansion of (/ -2 n) in n
7.945 * [taylor]: Taking taylor expansion of -2 in n
7.945 * [backup-simplify]: Simplify -2 into -2
7.945 * [taylor]: Taking taylor expansion of n in n
7.945 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify 1 into 1
7.946 * [backup-simplify]: Simplify (/ -2 1) into -2
7.946 * [backup-simplify]: Simplify (log -2) into (log -2)
7.946 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.946 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
7.946 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
7.947 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
7.947 * [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))))
7.947 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
7.947 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
7.947 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
7.947 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
7.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
7.947 * [taylor]: Taking taylor expansion of 1/2 in n
7.947 * [backup-simplify]: Simplify 1/2 into 1/2
7.947 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.947 * [taylor]: Taking taylor expansion of k in n
7.947 * [backup-simplify]: Simplify k into k
7.947 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.947 * [taylor]: Taking taylor expansion of 1/2 in n
7.947 * [backup-simplify]: Simplify 1/2 into 1/2
7.947 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
7.947 * [taylor]: Taking taylor expansion of (/ -2 n) in n
7.947 * [taylor]: Taking taylor expansion of -2 in n
7.947 * [backup-simplify]: Simplify -2 into -2
7.947 * [taylor]: Taking taylor expansion of n in n
7.947 * [backup-simplify]: Simplify 0 into 0
7.947 * [backup-simplify]: Simplify 1 into 1
7.948 * [backup-simplify]: Simplify (/ -2 1) into -2
7.948 * [backup-simplify]: Simplify (log -2) into (log -2)
7.948 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
7.948 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
7.949 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
7.949 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
7.949 * [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))))
7.949 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
7.949 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
7.949 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
7.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
7.949 * [taylor]: Taking taylor expansion of 1/2 in k
7.949 * [backup-simplify]: Simplify 1/2 into 1/2
7.949 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.949 * [taylor]: Taking taylor expansion of k in k
7.950 * [backup-simplify]: Simplify 0 into 0
7.950 * [backup-simplify]: Simplify 1 into 1
7.950 * [backup-simplify]: Simplify (/ 1 1) into 1
7.950 * [taylor]: Taking taylor expansion of 1/2 in k
7.950 * [backup-simplify]: Simplify 1/2 into 1/2
7.950 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
7.950 * [taylor]: Taking taylor expansion of (log -2) in k
7.950 * [taylor]: Taking taylor expansion of -2 in k
7.950 * [backup-simplify]: Simplify -2 into -2
7.950 * [backup-simplify]: Simplify (log -2) into (log -2)
7.950 * [taylor]: Taking taylor expansion of (log n) in k
7.950 * [taylor]: Taking taylor expansion of n in k
7.950 * [backup-simplify]: Simplify n into n
7.950 * [backup-simplify]: Simplify (log n) into (log n)
7.954 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.955 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.955 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.956 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
7.956 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
7.957 * [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))))
7.957 * [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))))
7.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
7.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
7.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
7.961 * [backup-simplify]: Simplify (+ 0 0) into 0
7.962 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
7.962 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
7.963 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.963 * [taylor]: Taking taylor expansion of 0 in k
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify 0 into 0
7.964 * [backup-simplify]: Simplify 0 into 0
7.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.968 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
7.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
7.969 * [backup-simplify]: Simplify (+ 0 0) into 0
7.970 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
7.971 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
7.973 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.973 * [taylor]: Taking taylor expansion of 0 in k
7.973 * [backup-simplify]: Simplify 0 into 0
7.973 * [backup-simplify]: Simplify 0 into 0
7.973 * [backup-simplify]: Simplify 0 into 0
7.973 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.980 * [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
7.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
7.982 * [backup-simplify]: Simplify (+ 0 0) into 0
7.983 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
7.983 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
7.984 * [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
7.984 * [taylor]: Taking taylor expansion of 0 in k
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [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)))))
7.985 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
7.985 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 k))) into (pow PI (- 1/2 (* 1/2 k)))
7.985 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
7.985 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
7.985 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
7.985 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
7.985 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.985 * [taylor]: Taking taylor expansion of 1/2 in k
7.985 * [backup-simplify]: Simplify 1/2 into 1/2
7.985 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.985 * [taylor]: Taking taylor expansion of 1/2 in k
7.985 * [backup-simplify]: Simplify 1/2 into 1/2
7.985 * [taylor]: Taking taylor expansion of k in k
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify 1 into 1
7.985 * [taylor]: Taking taylor expansion of (log PI) in k
7.985 * [taylor]: Taking taylor expansion of PI in k
7.985 * [backup-simplify]: Simplify PI into PI
7.986 * [backup-simplify]: Simplify (log PI) into (log PI)
7.986 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.986 * [backup-simplify]: Simplify (- 0) into 0
7.986 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.987 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
7.988 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
7.988 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
7.988 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
7.988 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
7.988 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
7.988 * [taylor]: Taking taylor expansion of 1/2 in k
7.988 * [backup-simplify]: Simplify 1/2 into 1/2
7.988 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
7.988 * [taylor]: Taking taylor expansion of 1/2 in k
7.988 * [backup-simplify]: Simplify 1/2 into 1/2
7.988 * [taylor]: Taking taylor expansion of k in k
7.988 * [backup-simplify]: Simplify 0 into 0
7.988 * [backup-simplify]: Simplify 1 into 1
7.988 * [taylor]: Taking taylor expansion of (log PI) in k
7.988 * [taylor]: Taking taylor expansion of PI in k
7.988 * [backup-simplify]: Simplify PI into PI
7.989 * [backup-simplify]: Simplify (log PI) into (log PI)
7.989 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.989 * [backup-simplify]: Simplify (- 0) into 0
7.989 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.990 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
7.991 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
7.991 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
7.992 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
7.993 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.993 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.993 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
8.000 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
8.002 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
8.003 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
8.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
8.004 * [backup-simplify]: Simplify (- 0) into 0
8.005 * [backup-simplify]: Simplify (+ 0 0) into 0
8.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
8.014 * [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)))
8.017 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
8.024 * [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))))
8.025 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
8.025 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
8.025 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
8.025 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
8.025 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
8.025 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
8.025 * [taylor]: Taking taylor expansion of 1/2 in k
8.025 * [backup-simplify]: Simplify 1/2 into 1/2
8.025 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.025 * [taylor]: Taking taylor expansion of 1/2 in k
8.025 * [backup-simplify]: Simplify 1/2 into 1/2
8.025 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.025 * [taylor]: Taking taylor expansion of k in k
8.025 * [backup-simplify]: Simplify 0 into 0
8.025 * [backup-simplify]: Simplify 1 into 1
8.025 * [backup-simplify]: Simplify (/ 1 1) into 1
8.025 * [taylor]: Taking taylor expansion of (log PI) in k
8.026 * [taylor]: Taking taylor expansion of PI in k
8.026 * [backup-simplify]: Simplify PI into PI
8.026 * [backup-simplify]: Simplify (log PI) into (log PI)
8.026 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.027 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.027 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.028 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
8.029 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
8.029 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
8.029 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
8.029 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
8.029 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
8.029 * [taylor]: Taking taylor expansion of 1/2 in k
8.029 * [backup-simplify]: Simplify 1/2 into 1/2
8.029 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.029 * [taylor]: Taking taylor expansion of 1/2 in k
8.029 * [backup-simplify]: Simplify 1/2 into 1/2
8.029 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.029 * [taylor]: Taking taylor expansion of k in k
8.029 * [backup-simplify]: Simplify 0 into 0
8.029 * [backup-simplify]: Simplify 1 into 1
8.030 * [backup-simplify]: Simplify (/ 1 1) into 1
8.030 * [taylor]: Taking taylor expansion of (log PI) in k
8.030 * [taylor]: Taking taylor expansion of PI in k
8.030 * [backup-simplify]: Simplify PI into PI
8.030 * [backup-simplify]: Simplify (log PI) into (log PI)
8.031 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.031 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.032 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.033 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
8.033 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
8.033 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [backup-simplify]: Simplify 0 into 0
8.034 * [backup-simplify]: Simplify 0 into 0
8.034 * [backup-simplify]: Simplify 0 into 0
8.034 * [backup-simplify]: Simplify 0 into 0
8.034 * [backup-simplify]: Simplify 0 into 0
8.034 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
8.034 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (- k))))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
8.034 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
8.034 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
8.034 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
8.034 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
8.034 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
8.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.034 * [taylor]: Taking taylor expansion of 1/2 in k
8.034 * [backup-simplify]: Simplify 1/2 into 1/2
8.034 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.034 * [taylor]: Taking taylor expansion of k in k
8.034 * [backup-simplify]: Simplify 0 into 0
8.034 * [backup-simplify]: Simplify 1 into 1
8.035 * [backup-simplify]: Simplify (/ 1 1) into 1
8.035 * [taylor]: Taking taylor expansion of 1/2 in k
8.035 * [backup-simplify]: Simplify 1/2 into 1/2
8.035 * [taylor]: Taking taylor expansion of (log PI) in k
8.035 * [taylor]: Taking taylor expansion of PI in k
8.035 * [backup-simplify]: Simplify PI into PI
8.035 * [backup-simplify]: Simplify (log PI) into (log PI)
8.036 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.036 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.038 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
8.038 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
8.038 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
8.038 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
8.038 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
8.038 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
8.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.039 * [taylor]: Taking taylor expansion of 1/2 in k
8.039 * [backup-simplify]: Simplify 1/2 into 1/2
8.039 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.039 * [taylor]: Taking taylor expansion of k in k
8.039 * [backup-simplify]: Simplify 0 into 0
8.039 * [backup-simplify]: Simplify 1 into 1
8.039 * [backup-simplify]: Simplify (/ 1 1) into 1
8.039 * [taylor]: Taking taylor expansion of 1/2 in k
8.039 * [backup-simplify]: Simplify 1/2 into 1/2
8.039 * [taylor]: Taking taylor expansion of (log PI) in k
8.039 * [taylor]: Taking taylor expansion of PI in k
8.039 * [backup-simplify]: Simplify PI into PI
8.040 * [backup-simplify]: Simplify (log PI) into (log PI)
8.040 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.041 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.042 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
8.042 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
8.042 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
8.043 * * * * [progress]: [ 3 / 4 ] generating series at (2)
8.044 * [backup-simplify]: Simplify (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
8.044 * [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
8.044 * [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
8.044 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
8.044 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
8.044 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
8.044 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
8.044 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
8.044 * [taylor]: Taking taylor expansion of 1/2 in k
8.044 * [backup-simplify]: Simplify 1/2 into 1/2
8.044 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
8.044 * [taylor]: Taking taylor expansion of 1/2 in k
8.044 * [backup-simplify]: Simplify 1/2 into 1/2
8.044 * [taylor]: Taking taylor expansion of k in k
8.044 * [backup-simplify]: Simplify 0 into 0
8.044 * [backup-simplify]: Simplify 1 into 1
8.044 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
8.044 * [taylor]: Taking taylor expansion of (* 2 n) in k
8.044 * [taylor]: Taking taylor expansion of 2 in k
8.044 * [backup-simplify]: Simplify 2 into 2
8.044 * [taylor]: Taking taylor expansion of n in k
8.044 * [backup-simplify]: Simplify n into n
8.044 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
8.044 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
8.045 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.045 * [backup-simplify]: Simplify (- 0) into 0
8.046 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.046 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
8.046 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
8.046 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
8.046 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
8.046 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
8.046 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
8.046 * [taylor]: Taking taylor expansion of 1/2 in k
8.046 * [backup-simplify]: Simplify 1/2 into 1/2
8.046 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
8.046 * [taylor]: Taking taylor expansion of 1/2 in k
8.046 * [backup-simplify]: Simplify 1/2 into 1/2
8.046 * [taylor]: Taking taylor expansion of k in k
8.046 * [backup-simplify]: Simplify 0 into 0
8.046 * [backup-simplify]: Simplify 1 into 1
8.046 * [taylor]: Taking taylor expansion of (log PI) in k
8.046 * [taylor]: Taking taylor expansion of PI in k
8.046 * [backup-simplify]: Simplify PI into PI
8.047 * [backup-simplify]: Simplify (log PI) into (log PI)
8.047 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.048 * [backup-simplify]: Simplify (- 0) into 0
8.048 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.049 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
8.051 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
8.051 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
8.051 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.051 * [taylor]: Taking taylor expansion of k in k
8.051 * [backup-simplify]: Simplify 0 into 0
8.051 * [backup-simplify]: Simplify 1 into 1
8.051 * [backup-simplify]: Simplify (/ 1 1) into 1
8.052 * [backup-simplify]: Simplify (sqrt 0) into 0
8.053 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.053 * [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
8.053 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
8.053 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
8.053 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
8.054 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
8.054 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
8.054 * [taylor]: Taking taylor expansion of 1/2 in n
8.054 * [backup-simplify]: Simplify 1/2 into 1/2
8.054 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
8.054 * [taylor]: Taking taylor expansion of 1/2 in n
8.054 * [backup-simplify]: Simplify 1/2 into 1/2
8.054 * [taylor]: Taking taylor expansion of k in n
8.054 * [backup-simplify]: Simplify k into k
8.054 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
8.054 * [taylor]: Taking taylor expansion of (* 2 n) in n
8.054 * [taylor]: Taking taylor expansion of 2 in n
8.054 * [backup-simplify]: Simplify 2 into 2
8.054 * [taylor]: Taking taylor expansion of n in n
8.054 * [backup-simplify]: Simplify 0 into 0
8.054 * [backup-simplify]: Simplify 1 into 1
8.054 * [backup-simplify]: Simplify (* 2 0) into 0
8.055 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
8.056 * [backup-simplify]: Simplify (log 2) into (log 2)
8.056 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
8.056 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
8.056 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
8.057 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
8.057 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
8.058 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
8.058 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
8.058 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
8.058 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
8.058 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
8.058 * [taylor]: Taking taylor expansion of 1/2 in n
8.058 * [backup-simplify]: Simplify 1/2 into 1/2
8.058 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
8.058 * [taylor]: Taking taylor expansion of 1/2 in n
8.058 * [backup-simplify]: Simplify 1/2 into 1/2
8.058 * [taylor]: Taking taylor expansion of k in n
8.058 * [backup-simplify]: Simplify k into k
8.058 * [taylor]: Taking taylor expansion of (log PI) in n
8.058 * [taylor]: Taking taylor expansion of PI in n
8.058 * [backup-simplify]: Simplify PI into PI
8.059 * [backup-simplify]: Simplify (log PI) into (log PI)
8.059 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
8.059 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
8.059 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
8.060 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
8.060 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
8.060 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
8.060 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.060 * [taylor]: Taking taylor expansion of k in n
8.060 * [backup-simplify]: Simplify k into k
8.060 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.060 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
8.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
8.061 * [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
8.061 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
8.061 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
8.061 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
8.061 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
8.061 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
8.061 * [taylor]: Taking taylor expansion of 1/2 in n
8.061 * [backup-simplify]: Simplify 1/2 into 1/2
8.061 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
8.061 * [taylor]: Taking taylor expansion of 1/2 in n
8.061 * [backup-simplify]: Simplify 1/2 into 1/2
8.061 * [taylor]: Taking taylor expansion of k in n
8.061 * [backup-simplify]: Simplify k into k
8.061 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
8.061 * [taylor]: Taking taylor expansion of (* 2 n) in n
8.061 * [taylor]: Taking taylor expansion of 2 in n
8.061 * [backup-simplify]: Simplify 2 into 2
8.061 * [taylor]: Taking taylor expansion of n in n
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify 1 into 1
8.062 * [backup-simplify]: Simplify (* 2 0) into 0
8.062 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
8.063 * [backup-simplify]: Simplify (log 2) into (log 2)
8.063 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
8.063 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
8.063 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
8.064 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
8.065 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
8.065 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
8.065 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
8.065 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
8.065 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
8.065 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
8.065 * [taylor]: Taking taylor expansion of 1/2 in n
8.065 * [backup-simplify]: Simplify 1/2 into 1/2
8.065 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
8.065 * [taylor]: Taking taylor expansion of 1/2 in n
8.065 * [backup-simplify]: Simplify 1/2 into 1/2
8.065 * [taylor]: Taking taylor expansion of k in n
8.065 * [backup-simplify]: Simplify k into k
8.066 * [taylor]: Taking taylor expansion of (log PI) in n
8.066 * [taylor]: Taking taylor expansion of PI in n
8.066 * [backup-simplify]: Simplify PI into PI
8.066 * [backup-simplify]: Simplify (log PI) into (log PI)
8.066 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
8.066 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
8.066 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
8.067 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
8.067 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
8.067 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
8.067 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.067 * [taylor]: Taking taylor expansion of k in n
8.067 * [backup-simplify]: Simplify k into k
8.067 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.068 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
8.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
8.069 * [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))))
8.069 * [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)))))
8.069 * [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
8.069 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
8.069 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.069 * [taylor]: Taking taylor expansion of k in k
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify 1 into 1
8.070 * [backup-simplify]: Simplify (/ 1 1) into 1
8.070 * [backup-simplify]: Simplify (sqrt 0) into 0
8.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.072 * [taylor]: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) in k
8.072 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
8.072 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
8.072 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
8.072 * [taylor]: Taking taylor expansion of (log 2) in k
8.072 * [taylor]: Taking taylor expansion of 2 in k
8.072 * [backup-simplify]: Simplify 2 into 2
8.072 * [backup-simplify]: Simplify (log 2) into (log 2)
8.072 * [taylor]: Taking taylor expansion of (log n) in k
8.072 * [taylor]: Taking taylor expansion of n in k
8.072 * [backup-simplify]: Simplify n into n
8.072 * [backup-simplify]: Simplify (log n) into (log n)
8.073 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
8.073 * [taylor]: Taking taylor expansion of 1/2 in k
8.073 * [backup-simplify]: Simplify 1/2 into 1/2
8.073 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
8.073 * [taylor]: Taking taylor expansion of 1/2 in k
8.073 * [backup-simplify]: Simplify 1/2 into 1/2
8.073 * [taylor]: Taking taylor expansion of k in k
8.073 * [backup-simplify]: Simplify 0 into 0
8.073 * [backup-simplify]: Simplify 1 into 1
8.073 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
8.074 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.074 * [backup-simplify]: Simplify (- 0) into 0
8.074 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.075 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
8.075 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
8.075 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
8.075 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
8.075 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
8.075 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
8.075 * [taylor]: Taking taylor expansion of 1/2 in k
8.075 * [backup-simplify]: Simplify 1/2 into 1/2
8.076 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
8.076 * [taylor]: Taking taylor expansion of 1/2 in k
8.076 * [backup-simplify]: Simplify 1/2 into 1/2
8.076 * [taylor]: Taking taylor expansion of k in k
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify 1 into 1
8.076 * [taylor]: Taking taylor expansion of (log PI) in k
8.076 * [taylor]: Taking taylor expansion of PI in k
8.076 * [backup-simplify]: Simplify PI into PI
8.076 * [backup-simplify]: Simplify (log PI) into (log PI)
8.077 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.077 * [backup-simplify]: Simplify (- 0) into 0
8.077 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.078 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
8.080 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
8.081 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 1/2)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))
8.082 * [backup-simplify]: Simplify (* 0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) into 0
8.082 * [backup-simplify]: Simplify 0 into 0
8.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
8.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
8.088 * [backup-simplify]: Simplify (- 0) into 0
8.088 * [backup-simplify]: Simplify (+ 0 0) into 0
8.089 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
8.090 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
8.091 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
8.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
8.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
8.094 * [backup-simplify]: Simplify (- 0) into 0
8.094 * [backup-simplify]: Simplify (+ 0 0) into 0
8.095 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
8.095 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
8.097 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.098 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0
8.098 * [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
8.099 * [taylor]: Taking taylor expansion of 0 in k
8.099 * [backup-simplify]: Simplify 0 into 0
8.100 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
8.101 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
8.101 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.102 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
8.114 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
8.115 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
8.115 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.116 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
8.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
8.118 * [backup-simplify]: Simplify (+ 0 0) into 0
8.119 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
8.121 * [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)))))
8.126 * [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))))))
8.131 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
8.132 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
8.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.133 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
8.136 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
8.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
8.138 * [backup-simplify]: Simplify (- 0) into 0
8.138 * [backup-simplify]: Simplify (+ 0 0) into 0
8.139 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
8.141 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.142 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.145 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
8.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
8.146 * [backup-simplify]: Simplify (- 0) into 0
8.147 * [backup-simplify]: Simplify (+ 0 0) into 0
8.147 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
8.148 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
8.150 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.151 * [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
8.152 * [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
8.152 * [taylor]: Taking taylor expansion of 0 in k
8.152 * [backup-simplify]: Simplify 0 into 0
8.152 * [backup-simplify]: Simplify 0 into 0
8.156 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
8.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
8.157 * [backup-simplify]: Simplify (- 0) into 0
8.158 * [backup-simplify]: Simplify (+ 0 0) into 0
8.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
8.172 * [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)))
8.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
8.174 * [backup-simplify]: Simplify (- 0) into 0
8.174 * [backup-simplify]: Simplify (+ 0 0) into 0
8.177 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
8.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
8.180 * [backup-simplify]: Simplify (+ 0 0) into 0
8.181 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
8.183 * [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)))))
8.195 * [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))))))))
8.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.199 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.215 * [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))))))))))
8.219 * [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))))))))))
8.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
8.225 * [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
8.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
8.226 * [backup-simplify]: Simplify (- 0) into 0
8.226 * [backup-simplify]: Simplify (+ 0 0) into 0
8.227 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
8.228 * [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
8.229 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
8.232 * [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
8.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
8.233 * [backup-simplify]: Simplify (- 0) into 0
8.233 * [backup-simplify]: Simplify (+ 0 0) into 0
8.234 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
8.235 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
8.236 * [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
8.237 * [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
8.238 * [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
8.238 * [taylor]: Taking taylor expansion of 0 in k
8.238 * [backup-simplify]: Simplify 0 into 0
8.238 * [backup-simplify]: Simplify 0 into 0
8.238 * [backup-simplify]: Simplify 0 into 0
8.241 * [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
8.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.242 * [backup-simplify]: Simplify (- 0) into 0
8.242 * [backup-simplify]: Simplify (+ 0 0) into 0
8.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
8.251 * [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)))
8.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.252 * [backup-simplify]: Simplify (- 0) into 0
8.253 * [backup-simplify]: Simplify (+ 0 0) into 0
8.255 * [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
8.257 * [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
8.257 * [backup-simplify]: Simplify (+ 0 0) into 0
8.259 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0
8.261 * [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))))))
8.273 * [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)))))))))))))
8.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.313 * [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))))))))))))))))))))))
8.327 * [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))))))))))))))))))))))
8.345 * [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))))))))))))))))))))))))))))))))
8.345 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) 2) (- 1/2 (* 1/2 (/ 1 k)))) (/ (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt (/ 1 k)))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
8.345 * [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
8.345 * [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
8.345 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
8.345 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
8.345 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
8.345 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
8.345 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
8.345 * [taylor]: Taking taylor expansion of 1/2 in k
8.345 * [backup-simplify]: Simplify 1/2 into 1/2
8.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.345 * [taylor]: Taking taylor expansion of 1/2 in k
8.345 * [backup-simplify]: Simplify 1/2 into 1/2
8.345 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.345 * [taylor]: Taking taylor expansion of k in k
8.345 * [backup-simplify]: Simplify 0 into 0
8.345 * [backup-simplify]: Simplify 1 into 1
8.346 * [backup-simplify]: Simplify (/ 1 1) into 1
8.346 * [taylor]: Taking taylor expansion of (log PI) in k
8.346 * [taylor]: Taking taylor expansion of PI in k
8.346 * [backup-simplify]: Simplify PI into PI
8.346 * [backup-simplify]: Simplify (log PI) into (log PI)
8.346 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.346 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.347 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.347 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
8.348 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
8.348 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
8.348 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
8.348 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
8.348 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
8.348 * [taylor]: Taking taylor expansion of 1/2 in k
8.348 * [backup-simplify]: Simplify 1/2 into 1/2
8.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.348 * [taylor]: Taking taylor expansion of 1/2 in k
8.348 * [backup-simplify]: Simplify 1/2 into 1/2
8.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.348 * [taylor]: Taking taylor expansion of k in k
8.348 * [backup-simplify]: Simplify 0 into 0
8.348 * [backup-simplify]: Simplify 1 into 1
8.348 * [backup-simplify]: Simplify (/ 1 1) into 1
8.348 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
8.348 * [taylor]: Taking taylor expansion of (/ 2 n) in k
8.348 * [taylor]: Taking taylor expansion of 2 in k
8.348 * [backup-simplify]: Simplify 2 into 2
8.348 * [taylor]: Taking taylor expansion of n in k
8.348 * [backup-simplify]: Simplify n into n
8.348 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
8.348 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
8.349 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.349 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.349 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.349 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
8.349 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
8.349 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.349 * [taylor]: Taking taylor expansion of k in k
8.349 * [backup-simplify]: Simplify 0 into 0
8.349 * [backup-simplify]: Simplify 1 into 1
8.350 * [backup-simplify]: Simplify (sqrt 0) into 0
8.351 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.351 * [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
8.351 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
8.351 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
8.351 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
8.351 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
8.351 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
8.351 * [taylor]: Taking taylor expansion of 1/2 in n
8.351 * [backup-simplify]: Simplify 1/2 into 1/2
8.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.351 * [taylor]: Taking taylor expansion of 1/2 in n
8.351 * [backup-simplify]: Simplify 1/2 into 1/2
8.351 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.351 * [taylor]: Taking taylor expansion of k in n
8.351 * [backup-simplify]: Simplify k into k
8.351 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.351 * [taylor]: Taking taylor expansion of (log PI) in n
8.351 * [taylor]: Taking taylor expansion of PI in n
8.351 * [backup-simplify]: Simplify PI into PI
8.351 * [backup-simplify]: Simplify (log PI) into (log PI)
8.351 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.351 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
8.351 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
8.352 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
8.352 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
8.352 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
8.352 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
8.352 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
8.352 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
8.352 * [taylor]: Taking taylor expansion of 1/2 in n
8.352 * [backup-simplify]: Simplify 1/2 into 1/2
8.352 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.352 * [taylor]: Taking taylor expansion of 1/2 in n
8.352 * [backup-simplify]: Simplify 1/2 into 1/2
8.352 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.352 * [taylor]: Taking taylor expansion of k in n
8.352 * [backup-simplify]: Simplify k into k
8.352 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.352 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
8.352 * [taylor]: Taking taylor expansion of (/ 2 n) in n
8.352 * [taylor]: Taking taylor expansion of 2 in n
8.352 * [backup-simplify]: Simplify 2 into 2
8.352 * [taylor]: Taking taylor expansion of n in n
8.352 * [backup-simplify]: Simplify 0 into 0
8.352 * [backup-simplify]: Simplify 1 into 1
8.353 * [backup-simplify]: Simplify (/ 2 1) into 2
8.353 * [backup-simplify]: Simplify (log 2) into (log 2)
8.353 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.353 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
8.353 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
8.353 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
8.354 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
8.354 * [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))))
8.354 * [taylor]: Taking taylor expansion of (sqrt k) in n
8.354 * [taylor]: Taking taylor expansion of k in n
8.354 * [backup-simplify]: Simplify k into k
8.354 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
8.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
8.354 * [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
8.354 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
8.354 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
8.354 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
8.354 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
8.354 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
8.354 * [taylor]: Taking taylor expansion of 1/2 in n
8.355 * [backup-simplify]: Simplify 1/2 into 1/2
8.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.355 * [taylor]: Taking taylor expansion of 1/2 in n
8.355 * [backup-simplify]: Simplify 1/2 into 1/2
8.355 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.355 * [taylor]: Taking taylor expansion of k in n
8.355 * [backup-simplify]: Simplify k into k
8.355 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.355 * [taylor]: Taking taylor expansion of (log PI) in n
8.355 * [taylor]: Taking taylor expansion of PI in n
8.355 * [backup-simplify]: Simplify PI into PI
8.355 * [backup-simplify]: Simplify (log PI) into (log PI)
8.355 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.355 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
8.355 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
8.356 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
8.356 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
8.356 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
8.357 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
8.357 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
8.357 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
8.357 * [taylor]: Taking taylor expansion of 1/2 in n
8.357 * [backup-simplify]: Simplify 1/2 into 1/2
8.357 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.357 * [taylor]: Taking taylor expansion of 1/2 in n
8.357 * [backup-simplify]: Simplify 1/2 into 1/2
8.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.357 * [taylor]: Taking taylor expansion of k in n
8.357 * [backup-simplify]: Simplify k into k
8.357 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.357 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
8.357 * [taylor]: Taking taylor expansion of (/ 2 n) in n
8.357 * [taylor]: Taking taylor expansion of 2 in n
8.357 * [backup-simplify]: Simplify 2 into 2
8.357 * [taylor]: Taking taylor expansion of n in n
8.357 * [backup-simplify]: Simplify 0 into 0
8.357 * [backup-simplify]: Simplify 1 into 1
8.357 * [backup-simplify]: Simplify (/ 2 1) into 2
8.358 * [backup-simplify]: Simplify (log 2) into (log 2)
8.358 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.358 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
8.358 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
8.359 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
8.360 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
8.360 * [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))))
8.360 * [taylor]: Taking taylor expansion of (sqrt k) in n
8.360 * [taylor]: Taking taylor expansion of k in n
8.360 * [backup-simplify]: Simplify k into k
8.360 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
8.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
8.361 * [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)))))
8.362 * [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))))))
8.362 * [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
8.362 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.362 * [taylor]: Taking taylor expansion of k in k
8.362 * [backup-simplify]: Simplify 0 into 0
8.362 * [backup-simplify]: Simplify 1 into 1
8.362 * [backup-simplify]: Simplify (sqrt 0) into 0
8.364 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.364 * [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
8.364 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
8.364 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
8.364 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
8.364 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
8.364 * [taylor]: Taking taylor expansion of 1/2 in k
8.364 * [backup-simplify]: Simplify 1/2 into 1/2
8.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.364 * [taylor]: Taking taylor expansion of 1/2 in k
8.364 * [backup-simplify]: Simplify 1/2 into 1/2
8.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.364 * [taylor]: Taking taylor expansion of k in k
8.364 * [backup-simplify]: Simplify 0 into 0
8.364 * [backup-simplify]: Simplify 1 into 1
8.364 * [backup-simplify]: Simplify (/ 1 1) into 1
8.364 * [taylor]: Taking taylor expansion of (log PI) in k
8.364 * [taylor]: Taking taylor expansion of PI in k
8.364 * [backup-simplify]: Simplify PI into PI
8.365 * [backup-simplify]: Simplify (log PI) into (log PI)
8.365 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.366 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.366 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.367 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
8.368 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
8.368 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
8.368 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
8.368 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
8.368 * [taylor]: Taking taylor expansion of 1/2 in k
8.368 * [backup-simplify]: Simplify 1/2 into 1/2
8.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.368 * [taylor]: Taking taylor expansion of 1/2 in k
8.368 * [backup-simplify]: Simplify 1/2 into 1/2
8.368 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.368 * [taylor]: Taking taylor expansion of k in k
8.368 * [backup-simplify]: Simplify 0 into 0
8.368 * [backup-simplify]: Simplify 1 into 1
8.368 * [backup-simplify]: Simplify (/ 1 1) into 1
8.368 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
8.368 * [taylor]: Taking taylor expansion of (log 2) in k
8.368 * [taylor]: Taking taylor expansion of 2 in k
8.368 * [backup-simplify]: Simplify 2 into 2
8.369 * [backup-simplify]: Simplify (log 2) into (log 2)
8.369 * [taylor]: Taking taylor expansion of (log n) in k
8.369 * [taylor]: Taking taylor expansion of n in k
8.369 * [backup-simplify]: Simplify n into n
8.369 * [backup-simplify]: Simplify (log n) into (log n)
8.369 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.369 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.370 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.370 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
8.370 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
8.371 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
8.371 * [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))))
8.372 * [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)))))
8.373 * [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
8.373 * [backup-simplify]: Simplify 0 into 0
8.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
8.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
8.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
8.377 * [backup-simplify]: Simplify (- 0) into 0
8.377 * [backup-simplify]: Simplify (+ 0 0) into 0
8.378 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
8.378 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
8.380 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
8.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
8.382 * [backup-simplify]: Simplify (- 0) into 0
8.383 * [backup-simplify]: Simplify (+ 0 0) into 0
8.383 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
8.385 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
8.385 * [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
8.386 * [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
8.386 * [taylor]: Taking taylor expansion of 0 in k
8.386 * [backup-simplify]: Simplify 0 into 0
8.386 * [backup-simplify]: Simplify 0 into 0
8.387 * [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
8.388 * [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)))))))
8.389 * [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)))))))
8.390 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
8.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.393 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
8.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
8.395 * [backup-simplify]: Simplify (- 0) into 0
8.395 * [backup-simplify]: Simplify (+ 0 0) into 0
8.396 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
8.397 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
8.399 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.402 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
8.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
8.403 * [backup-simplify]: Simplify (- 0) into 0
8.404 * [backup-simplify]: Simplify (+ 0 0) into 0
8.405 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
8.406 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.407 * [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
8.409 * [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
8.409 * [taylor]: Taking taylor expansion of 0 in k
8.409 * [backup-simplify]: Simplify 0 into 0
8.409 * [backup-simplify]: Simplify 0 into 0
8.409 * [backup-simplify]: Simplify 0 into 0
8.410 * [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
8.413 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.414 * [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)))))))
8.415 * [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)))))))
8.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
8.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.422 * [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
8.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
8.424 * [backup-simplify]: Simplify (- 0) into 0
8.424 * [backup-simplify]: Simplify (+ 0 0) into 0
8.428 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
8.430 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
8.432 * [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
8.437 * [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
8.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
8.439 * [backup-simplify]: Simplify (- 0) into 0
8.440 * [backup-simplify]: Simplify (+ 0 0) into 0
8.441 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
8.443 * [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
8.445 * [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
8.446 * [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
8.446 * [taylor]: Taking taylor expansion of 0 in k
8.446 * [backup-simplify]: Simplify 0 into 0
8.446 * [backup-simplify]: Simplify 0 into 0
8.446 * [backup-simplify]: Simplify 0 into 0
8.446 * [backup-simplify]: Simplify 0 into 0
8.448 * [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
8.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.454 * [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)))))))
8.455 * [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)))))))
8.458 * [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))))))))
8.459 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) 2) (- 1/2 (* 1/2 (/ 1 (- k))))) (/ (pow PI (- 1/2 (* 1/2 (/ 1 (- k))))) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
8.459 * [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
8.459 * [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
8.459 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
8.459 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
8.459 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
8.459 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
8.459 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
8.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.459 * [taylor]: Taking taylor expansion of 1/2 in k
8.459 * [backup-simplify]: Simplify 1/2 into 1/2
8.459 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.459 * [taylor]: Taking taylor expansion of k in k
8.459 * [backup-simplify]: Simplify 0 into 0
8.459 * [backup-simplify]: Simplify 1 into 1
8.460 * [backup-simplify]: Simplify (/ 1 1) into 1
8.460 * [taylor]: Taking taylor expansion of 1/2 in k
8.460 * [backup-simplify]: Simplify 1/2 into 1/2
8.460 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
8.460 * [taylor]: Taking taylor expansion of (/ -2 n) in k
8.460 * [taylor]: Taking taylor expansion of -2 in k
8.460 * [backup-simplify]: Simplify -2 into -2
8.460 * [taylor]: Taking taylor expansion of n in k
8.460 * [backup-simplify]: Simplify n into n
8.460 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
8.460 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
8.461 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.461 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.461 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
8.461 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
8.461 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
8.461 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
8.461 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
8.461 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
8.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.462 * [taylor]: Taking taylor expansion of 1/2 in k
8.462 * [backup-simplify]: Simplify 1/2 into 1/2
8.462 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.462 * [taylor]: Taking taylor expansion of k in k
8.462 * [backup-simplify]: Simplify 0 into 0
8.462 * [backup-simplify]: Simplify 1 into 1
8.462 * [backup-simplify]: Simplify (/ 1 1) into 1
8.462 * [taylor]: Taking taylor expansion of 1/2 in k
8.462 * [backup-simplify]: Simplify 1/2 into 1/2
8.462 * [taylor]: Taking taylor expansion of (log PI) in k
8.462 * [taylor]: Taking taylor expansion of PI in k
8.462 * [backup-simplify]: Simplify PI into PI
8.463 * [backup-simplify]: Simplify (log PI) into (log PI)
8.463 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.464 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.465 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
8.465 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
8.465 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
8.465 * [taylor]: Taking taylor expansion of (/ -1 k) in k
8.465 * [taylor]: Taking taylor expansion of -1 in k
8.465 * [backup-simplify]: Simplify -1 into -1
8.465 * [taylor]: Taking taylor expansion of k in k
8.465 * [backup-simplify]: Simplify 0 into 0
8.465 * [backup-simplify]: Simplify 1 into 1
8.466 * [backup-simplify]: Simplify (/ -1 1) into -1
8.466 * [backup-simplify]: Simplify (sqrt 0) into 0
8.468 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.468 * [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)))
8.469 * [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))))
8.469 * [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
8.469 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
8.469 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
8.469 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
8.469 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
8.469 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
8.469 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.469 * [taylor]: Taking taylor expansion of 1/2 in n
8.469 * [backup-simplify]: Simplify 1/2 into 1/2
8.469 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.469 * [taylor]: Taking taylor expansion of k in n
8.469 * [backup-simplify]: Simplify k into k
8.470 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.470 * [taylor]: Taking taylor expansion of 1/2 in n
8.470 * [backup-simplify]: Simplify 1/2 into 1/2
8.470 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
8.470 * [taylor]: Taking taylor expansion of (/ -2 n) in n
8.470 * [taylor]: Taking taylor expansion of -2 in n
8.470 * [backup-simplify]: Simplify -2 into -2
8.470 * [taylor]: Taking taylor expansion of n in n
8.470 * [backup-simplify]: Simplify 0 into 0
8.470 * [backup-simplify]: Simplify 1 into 1
8.471 * [backup-simplify]: Simplify (/ -2 1) into -2
8.471 * [backup-simplify]: Simplify (log -2) into (log -2)
8.471 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.471 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
8.472 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
8.472 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
8.473 * [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))))
8.473 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
8.473 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
8.473 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
8.473 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
8.473 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.473 * [taylor]: Taking taylor expansion of 1/2 in n
8.473 * [backup-simplify]: Simplify 1/2 into 1/2
8.473 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.473 * [taylor]: Taking taylor expansion of k in n
8.473 * [backup-simplify]: Simplify k into k
8.473 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.473 * [taylor]: Taking taylor expansion of 1/2 in n
8.473 * [backup-simplify]: Simplify 1/2 into 1/2
8.473 * [taylor]: Taking taylor expansion of (log PI) in n
8.474 * [taylor]: Taking taylor expansion of PI in n
8.474 * [backup-simplify]: Simplify PI into PI
8.474 * [backup-simplify]: Simplify (log PI) into (log PI)
8.474 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.474 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
8.475 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
8.475 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
8.475 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
8.475 * [taylor]: Taking taylor expansion of (/ -1 k) in n
8.475 * [taylor]: Taking taylor expansion of -1 in n
8.475 * [backup-simplify]: Simplify -1 into -1
8.475 * [taylor]: Taking taylor expansion of k in n
8.475 * [backup-simplify]: Simplify k into k
8.475 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
8.476 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
8.476 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
8.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
8.477 * [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)))
8.477 * [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)))
8.477 * [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
8.477 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
8.477 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
8.477 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
8.478 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
8.478 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
8.478 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.478 * [taylor]: Taking taylor expansion of 1/2 in n
8.478 * [backup-simplify]: Simplify 1/2 into 1/2
8.478 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.478 * [taylor]: Taking taylor expansion of k in n
8.478 * [backup-simplify]: Simplify k into k
8.478 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.478 * [taylor]: Taking taylor expansion of 1/2 in n
8.478 * [backup-simplify]: Simplify 1/2 into 1/2
8.478 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
8.478 * [taylor]: Taking taylor expansion of (/ -2 n) in n
8.478 * [taylor]: Taking taylor expansion of -2 in n
8.478 * [backup-simplify]: Simplify -2 into -2
8.478 * [taylor]: Taking taylor expansion of n in n
8.478 * [backup-simplify]: Simplify 0 into 0
8.478 * [backup-simplify]: Simplify 1 into 1
8.478 * [backup-simplify]: Simplify (/ -2 1) into -2
8.479 * [backup-simplify]: Simplify (log -2) into (log -2)
8.479 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.479 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
8.480 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
8.481 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
8.481 * [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))))
8.481 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
8.481 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
8.481 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
8.481 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
8.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
8.482 * [taylor]: Taking taylor expansion of 1/2 in n
8.482 * [backup-simplify]: Simplify 1/2 into 1/2
8.482 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.482 * [taylor]: Taking taylor expansion of k in n
8.482 * [backup-simplify]: Simplify k into k
8.482 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.482 * [taylor]: Taking taylor expansion of 1/2 in n
8.482 * [backup-simplify]: Simplify 1/2 into 1/2
8.482 * [taylor]: Taking taylor expansion of (log PI) in n
8.482 * [taylor]: Taking taylor expansion of PI in n
8.482 * [backup-simplify]: Simplify PI into PI
8.482 * [backup-simplify]: Simplify (log PI) into (log PI)
8.482 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
8.482 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
8.483 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
8.484 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
8.484 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
8.484 * [taylor]: Taking taylor expansion of (/ -1 k) in n
8.484 * [taylor]: Taking taylor expansion of -1 in n
8.484 * [backup-simplify]: Simplify -1 into -1
8.484 * [taylor]: Taking taylor expansion of k in n
8.484 * [backup-simplify]: Simplify k into k
8.484 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
8.484 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
8.484 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
8.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
8.485 * [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)))
8.486 * [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)))
8.486 * [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
8.486 * [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
8.486 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
8.486 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
8.486 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
8.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.486 * [taylor]: Taking taylor expansion of 1/2 in k
8.486 * [backup-simplify]: Simplify 1/2 into 1/2
8.486 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.486 * [taylor]: Taking taylor expansion of k in k
8.486 * [backup-simplify]: Simplify 0 into 0
8.486 * [backup-simplify]: Simplify 1 into 1
8.487 * [backup-simplify]: Simplify (/ 1 1) into 1
8.487 * [taylor]: Taking taylor expansion of 1/2 in k
8.487 * [backup-simplify]: Simplify 1/2 into 1/2
8.487 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
8.487 * [taylor]: Taking taylor expansion of (log -2) in k
8.487 * [taylor]: Taking taylor expansion of -2 in k
8.487 * [backup-simplify]: Simplify -2 into -2
8.487 * [backup-simplify]: Simplify (log -2) into (log -2)
8.487 * [taylor]: Taking taylor expansion of (log n) in k
8.487 * [taylor]: Taking taylor expansion of n in k
8.487 * [backup-simplify]: Simplify n into n
8.487 * [backup-simplify]: Simplify (log n) into (log n)
8.488 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.488 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.488 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
8.489 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
8.489 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
8.490 * [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))))
8.490 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
8.490 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
8.490 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
8.490 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
8.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.490 * [taylor]: Taking taylor expansion of 1/2 in k
8.490 * [backup-simplify]: Simplify 1/2 into 1/2
8.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.490 * [taylor]: Taking taylor expansion of k in k
8.490 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify 1 into 1
8.490 * [backup-simplify]: Simplify (/ 1 1) into 1
8.490 * [taylor]: Taking taylor expansion of 1/2 in k
8.490 * [backup-simplify]: Simplify 1/2 into 1/2
8.490 * [taylor]: Taking taylor expansion of (log PI) in k
8.490 * [taylor]: Taking taylor expansion of PI in k
8.490 * [backup-simplify]: Simplify PI into PI
8.491 * [backup-simplify]: Simplify (log PI) into (log PI)
8.491 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.492 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.493 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
8.494 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
8.494 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
8.494 * [taylor]: Taking taylor expansion of (/ -1 k) in k
8.494 * [taylor]: Taking taylor expansion of -1 in k
8.494 * [backup-simplify]: Simplify -1 into -1
8.494 * [taylor]: Taking taylor expansion of k in k
8.494 * [backup-simplify]: Simplify 0 into 0
8.494 * [backup-simplify]: Simplify 1 into 1
8.494 * [backup-simplify]: Simplify (/ -1 1) into -1
8.495 * [backup-simplify]: Simplify (sqrt 0) into 0
8.496 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.497 * [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)))
8.497 * [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))))
8.498 * [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))))
8.500 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
8.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
8.501 * [backup-simplify]: Simplify (+ 0 0) into 0
8.501 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
8.503 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
8.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
8.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
8.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
8.506 * [backup-simplify]: Simplify (+ 0 0) into 0
8.507 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
8.507 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
8.508 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.509 * [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
8.510 * [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
8.510 * [taylor]: Taking taylor expansion of 0 in k
8.510 * [backup-simplify]: Simplify 0 into 0
8.510 * [backup-simplify]: Simplify 0 into 0
8.511 * [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
8.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.515 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.516 * [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)))))
8.517 * [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)))))
8.520 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
8.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.522 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
8.522 * [backup-simplify]: Simplify (+ 0 0) into 0
8.523 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
8.525 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.529 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
8.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
8.530 * [backup-simplify]: Simplify (+ 0 0) into 0
8.531 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
8.532 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
8.534 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.535 * [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
8.535 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.536 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
8.537 * [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
8.537 * [taylor]: Taking taylor expansion of 0 in k
8.537 * [backup-simplify]: Simplify 0 into 0
8.537 * [backup-simplify]: Simplify 0 into 0
8.537 * [backup-simplify]: Simplify 0 into 0
8.538 * [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
8.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.546 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +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)))))
8.547 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
8.550 * [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))))))))
8.550 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
8.550 * [backup-simplify]: Simplify (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k))))
8.550 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k)))) in (k) around 0
8.550 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k)))) in k
8.550 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
8.550 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.550 * [taylor]: Taking taylor expansion of k in k
8.551 * [backup-simplify]: Simplify 0 into 0
8.551 * [backup-simplify]: Simplify 1 into 1
8.551 * [backup-simplify]: Simplify (/ 1 1) into 1
8.551 * [backup-simplify]: Simplify (sqrt 0) into 0
8.553 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.553 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
8.553 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
8.553 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
8.553 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
8.553 * [taylor]: Taking taylor expansion of 1/2 in k
8.553 * [backup-simplify]: Simplify 1/2 into 1/2
8.553 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
8.553 * [taylor]: Taking taylor expansion of 1/2 in k
8.553 * [backup-simplify]: Simplify 1/2 into 1/2
8.553 * [taylor]: Taking taylor expansion of k in k
8.553 * [backup-simplify]: Simplify 0 into 0
8.553 * [backup-simplify]: Simplify 1 into 1
8.553 * [taylor]: Taking taylor expansion of (log PI) in k
8.553 * [taylor]: Taking taylor expansion of PI in k
8.553 * [backup-simplify]: Simplify PI into PI
8.554 * [backup-simplify]: Simplify (log PI) into (log PI)
8.554 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.554 * [backup-simplify]: Simplify (- 0) into 0
8.555 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.556 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
8.557 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
8.557 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k)))) in k
8.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
8.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.558 * [taylor]: Taking taylor expansion of k in k
8.558 * [backup-simplify]: Simplify 0 into 0
8.558 * [backup-simplify]: Simplify 1 into 1
8.558 * [backup-simplify]: Simplify (/ 1 1) into 1
8.558 * [backup-simplify]: Simplify (sqrt 0) into 0
8.560 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.560 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
8.560 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
8.560 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
8.560 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
8.560 * [taylor]: Taking taylor expansion of 1/2 in k
8.560 * [backup-simplify]: Simplify 1/2 into 1/2
8.560 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
8.560 * [taylor]: Taking taylor expansion of 1/2 in k
8.560 * [backup-simplify]: Simplify 1/2 into 1/2
8.560 * [taylor]: Taking taylor expansion of k in k
8.560 * [backup-simplify]: Simplify 0 into 0
8.560 * [backup-simplify]: Simplify 1 into 1
8.560 * [taylor]: Taking taylor expansion of (log PI) in k
8.560 * [taylor]: Taking taylor expansion of PI in k
8.560 * [backup-simplify]: Simplify PI into PI
8.560 * [backup-simplify]: Simplify (log PI) into (log PI)
8.561 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.561 * [backup-simplify]: Simplify (- 0) into 0
8.562 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.563 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
8.564 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
8.565 * [backup-simplify]: Simplify (* 0 (pow PI 1/2)) into 0
8.565 * [backup-simplify]: Simplify 0 into 0
8.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
8.567 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
8.568 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.568 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
8.583 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
8.587 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (* (log PI) (sqrt PI)))) (* +nan.0 (pow PI 1/2))) into (- (* +nan.0 (sqrt PI)))
8.588 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI)))
8.592 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
8.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
8.593 * [backup-simplify]: Simplify (- 0) into 0
8.593 * [backup-simplify]: Simplify (+ 0 0) into 0
8.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
8.607 * [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)))
8.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.611 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.620 * [backup-simplify]: Simplify (+ (* 0 (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* +nan.0 (* -1/2 (* (log PI) (sqrt PI)))) (* +nan.0 (pow PI 1/2)))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI)))))
8.624 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI)))))
8.627 * [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
8.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.628 * [backup-simplify]: Simplify (- 0) into 0
8.628 * [backup-simplify]: Simplify (+ 0 0) into 0
8.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
8.638 * [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)))
8.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.660 * [backup-simplify]: Simplify (+ (* 0 (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* +nan.0 (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* +nan.0 (* -1/2 (* (log PI) (sqrt PI)))) (* +nan.0 (pow PI 1/2))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI))))))))
8.676 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI))))))))
8.705 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI))))) k) (- (* +nan.0 (sqrt PI))))) into (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (pow k 2))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI))))))))))))))
8.706 * [backup-simplify]: Simplify (/ (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt (/ 1 k))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k))
8.706 * [approximate]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k) around 0
8.706 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
8.706 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
8.706 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
8.706 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
8.706 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
8.706 * [taylor]: Taking taylor expansion of 1/2 in k
8.706 * [backup-simplify]: Simplify 1/2 into 1/2
8.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.706 * [taylor]: Taking taylor expansion of 1/2 in k
8.706 * [backup-simplify]: Simplify 1/2 into 1/2
8.706 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.706 * [taylor]: Taking taylor expansion of k in k
8.706 * [backup-simplify]: Simplify 0 into 0
8.706 * [backup-simplify]: Simplify 1 into 1
8.707 * [backup-simplify]: Simplify (/ 1 1) into 1
8.707 * [taylor]: Taking taylor expansion of (log PI) in k
8.707 * [taylor]: Taking taylor expansion of PI in k
8.707 * [backup-simplify]: Simplify PI into PI
8.707 * [backup-simplify]: Simplify (log PI) into (log PI)
8.708 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.708 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.709 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.710 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
8.710 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
8.710 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.710 * [taylor]: Taking taylor expansion of k in k
8.710 * [backup-simplify]: Simplify 0 into 0
8.710 * [backup-simplify]: Simplify 1 into 1
8.711 * [backup-simplify]: Simplify (sqrt 0) into 0
8.713 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.713 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
8.713 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
8.713 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
8.713 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
8.713 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
8.713 * [taylor]: Taking taylor expansion of 1/2 in k
8.713 * [backup-simplify]: Simplify 1/2 into 1/2
8.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.713 * [taylor]: Taking taylor expansion of 1/2 in k
8.713 * [backup-simplify]: Simplify 1/2 into 1/2
8.713 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.713 * [taylor]: Taking taylor expansion of k in k
8.713 * [backup-simplify]: Simplify 0 into 0
8.713 * [backup-simplify]: Simplify 1 into 1
8.714 * [backup-simplify]: Simplify (/ 1 1) into 1
8.714 * [taylor]: Taking taylor expansion of (log PI) in k
8.714 * [taylor]: Taking taylor expansion of PI in k
8.714 * [backup-simplify]: Simplify PI into PI
8.714 * [backup-simplify]: Simplify (log PI) into (log PI)
8.715 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.715 * [backup-simplify]: Simplify (- 1/2) into -1/2
8.715 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
8.717 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
8.717 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
8.717 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.717 * [taylor]: Taking taylor expansion of k in k
8.717 * [backup-simplify]: Simplify 0 into 0
8.717 * [backup-simplify]: Simplify 1 into 1
8.718 * [backup-simplify]: Simplify (sqrt 0) into 0
8.719 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.719 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
8.719 * [backup-simplify]: Simplify 0 into 0
8.720 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
8.720 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
8.723 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.724 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
8.725 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
8.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.730 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
8.730 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
8.731 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 3))) (- (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))
8.732 * [backup-simplify]: Simplify (/ (pow PI (- 1/2 (* 1/2 (/ 1 (- k))))) (sqrt (/ 1 (- k)))) into (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
8.732 * [approximate]: Taking taylor expansion of (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k) around 0
8.732 * [taylor]: Taking taylor expansion of (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
8.732 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
8.732 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
8.732 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
8.732 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
8.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.732 * [taylor]: Taking taylor expansion of 1/2 in k
8.732 * [backup-simplify]: Simplify 1/2 into 1/2
8.732 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.732 * [taylor]: Taking taylor expansion of k in k
8.732 * [backup-simplify]: Simplify 0 into 0
8.732 * [backup-simplify]: Simplify 1 into 1
8.733 * [backup-simplify]: Simplify (/ 1 1) into 1
8.733 * [taylor]: Taking taylor expansion of 1/2 in k
8.733 * [backup-simplify]: Simplify 1/2 into 1/2
8.733 * [taylor]: Taking taylor expansion of (log PI) in k
8.733 * [taylor]: Taking taylor expansion of PI in k
8.733 * [backup-simplify]: Simplify PI into PI
8.733 * [backup-simplify]: Simplify (log PI) into (log PI)
8.734 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.734 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.735 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
8.736 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
8.736 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
8.736 * [taylor]: Taking taylor expansion of (/ -1 k) in k
8.736 * [taylor]: Taking taylor expansion of -1 in k
8.736 * [backup-simplify]: Simplify -1 into -1
8.736 * [taylor]: Taking taylor expansion of k in k
8.736 * [backup-simplify]: Simplify 0 into 0
8.736 * [backup-simplify]: Simplify 1 into 1
8.736 * [backup-simplify]: Simplify (/ -1 1) into -1
8.737 * [backup-simplify]: Simplify (sqrt 0) into 0
8.738 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.739 * [backup-simplify]: Simplify (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
8.739 * [taylor]: Taking taylor expansion of (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
8.739 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
8.739 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
8.739 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
8.739 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
8.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
8.739 * [taylor]: Taking taylor expansion of 1/2 in k
8.739 * [backup-simplify]: Simplify 1/2 into 1/2
8.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.739 * [taylor]: Taking taylor expansion of k in k
8.739 * [backup-simplify]: Simplify 0 into 0
8.739 * [backup-simplify]: Simplify 1 into 1
8.739 * [backup-simplify]: Simplify (/ 1 1) into 1
8.739 * [taylor]: Taking taylor expansion of 1/2 in k
8.739 * [backup-simplify]: Simplify 1/2 into 1/2
8.739 * [taylor]: Taking taylor expansion of (log PI) in k
8.739 * [taylor]: Taking taylor expansion of PI in k
8.740 * [backup-simplify]: Simplify PI into PI
8.740 * [backup-simplify]: Simplify (log PI) into (log PI)
8.740 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.741 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.742 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
8.743 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
8.743 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
8.743 * [taylor]: Taking taylor expansion of (/ -1 k) in k
8.743 * [taylor]: Taking taylor expansion of -1 in k
8.743 * [backup-simplify]: Simplify -1 into -1
8.743 * [taylor]: Taking taylor expansion of k in k
8.743 * [backup-simplify]: Simplify 0 into 0
8.743 * [backup-simplify]: Simplify 1 into 1
8.743 * [backup-simplify]: Simplify (/ -1 1) into -1
8.744 * [backup-simplify]: Simplify (sqrt 0) into 0
8.745 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.745 * [backup-simplify]: Simplify (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
8.746 * [backup-simplify]: Simplify (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
8.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.750 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.751 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
8.752 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
8.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.759 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
8.759 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
8.760 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) (/ 1 (- k))) (* +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) into (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))) (- (* +nan.0 (pow PI (- 1/2 (* 1/2 k)))))))))
8.760 * * * [progress]: simplifying candidates
8.761 * * * * [progress]: [ 1 / 248 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (log 2)) (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.761 * * * * [progress]: [ 2 / 248 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n 2)) (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.761 * * * * [progress]: [ 3 / 248 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n 2)) (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.761 * * * * [progress]: [ 4 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (* 1 (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.761 * * * * [progress]: [ 5 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (* 1 (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.761 * * * * [progress]: [ 6 / 248 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (pow (* n 2) (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.761 * * * * [progress]: [ 7 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k))))) (cbrt (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.761 * * * * [progress]: [ 8 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (sqrt (- 1/2 (* 1/2 k)))) (sqrt (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.761 * * * * [progress]: [ 9 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) 1) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.761 * * * * [progress]: [ 10 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.761 * * * * [progress]: [ 11 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.761 * * * * [progress]: [ 12 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.761 * * * * [progress]: [ 13 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (- 1/2 (* 1/2 k))) 1) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.762 * * * * [progress]: [ 14 / 248 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow (* n 2) (- 1/2 (* 1/2 k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.762 * * * * [progress]: [ 15 / 248 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow (* n 2) (- 1/2 (* 1/2 k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.762 * * * * [progress]: [ 16 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (cbrt (pow (* n 2) (- 1/2 (* 1/2 k))))) (cbrt (pow (* n 2) (- 1/2 (* 1/2 k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.762 * * * * [progress]: [ 17 / 248 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow (* n 2) (- 1/2 (* 1/2 k)))) (pow (* n 2) (- 1/2 (* 1/2 k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.762 * * * * [progress]: [ 18 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (sqrt (pow (* n 2) (- 1/2 (* 1/2 k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.762 * * * * [progress]: [ 19 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.762 * * * * [progress]: [ 20 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.762 * * * * [progress]: [ 21 / 248 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow (* n 2) (- 1/2 (* 1/2 k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.762 * * * * [progress]: [ 22 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (exp (* (log PI) (- 1/2 (* 1/2 k)))) (sqrt k))))>
8.762 * * * * [progress]: [ 23 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (exp (* (log PI) (- 1/2 (* 1/2 k)))) (sqrt k))))>
8.762 * * * * [progress]: [ 24 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (* 1 (- 1/2 (* 1/2 k)))) (sqrt k))))>
8.762 * * * * [progress]: [ 25 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (/ (pow PI 1/2) (pow PI (* 1/2 k))) (sqrt k))))>
8.762 * * * * [progress]: [ 26 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (pow PI (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k))))) (cbrt (- 1/2 (* 1/2 k)))) (sqrt k))))>
8.763 * * * * [progress]: [ 27 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (pow PI (sqrt (- 1/2 (* 1/2 k)))) (sqrt (- 1/2 (* 1/2 k)))) (sqrt k))))>
8.763 * * * * [progress]: [ 28 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (pow PI 1) (- 1/2 (* 1/2 k))) (sqrt k))))>
8.763 * * * * [progress]: [ 29 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (pow PI 1/2) (pow PI (- (* 1/2 k)))) (sqrt k))))>
8.763 * * * * [progress]: [ 30 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (pow PI 1/2) (pow PI (- (* 1/2 k)))) (sqrt k))))>
8.763 * * * * [progress]: [ 31 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (pow (cbrt PI) (- 1/2 (* 1/2 k)))) (sqrt k))))>
8.763 * * * * [progress]: [ 32 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (pow (sqrt PI) (- 1/2 (* 1/2 k))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt k))))>
8.763 * * * * [progress]: [ 33 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (pow 1 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))))>
8.763 * * * * [progress]: [ 34 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (pow PI (- 1/2 (* 1/2 k))) 1) (sqrt k))))>
8.763 * * * * [progress]: [ 35 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (exp (log (pow PI (- 1/2 (* 1/2 k))))) (sqrt k))))>
8.763 * * * * [progress]: [ 36 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (log (exp (pow PI (- 1/2 (* 1/2 k))))) (sqrt k))))>
8.763 * * * * [progress]: [ 37 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt k))))>
8.763 * * * * [progress]: [ 38 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (cbrt (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k))))>
8.763 * * * * [progress]: [ 39 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt k))))>
8.763 * * * * [progress]: [ 40 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))))>
8.764 * * * * [progress]: [ 41 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt k))))>
8.764 * * * * [progress]: [ 42 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (posit16->real (real->posit16 (pow PI (- 1/2 (* 1/2 k))))) (sqrt k))))>
8.764 * * * * [progress]: [ 43 / 248 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) 1))>
8.764 * * * * [progress]: [ 44 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))))>
8.764 * * * * [progress]: [ 45 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))))>
8.764 * * * * [progress]: [ 46 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k))))))>
8.764 * * * * [progress]: [ 47 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.764 * * * * [progress]: [ 48 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))))>
8.764 * * * * [progress]: [ 49 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))))>
8.764 * * * * [progress]: [ 50 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k))))))>
8.764 * * * * [progress]: [ 51 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.764 * * * * [progress]: [ 52 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))))>
8.765 * * * * [progress]: [ 53 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))))>
8.765 * * * * [progress]: [ 54 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k))))))>
8.765 * * * * [progress]: [ 55 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.765 * * * * [progress]: [ 56 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))))>
8.765 * * * * [progress]: [ 57 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))))>
8.765 * * * * [progress]: [ 58 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (* 1/2 k)))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k))))))>
8.765 * * * * [progress]: [ 59 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (* 1/2 k)))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.765 * * * * [progress]: [ 60 / 248 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.765 * * * * [progress]: [ 61 / 248 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.765 * * * * [progress]: [ 62 / 248 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow (* n 2) (- 1/2 (* 1/2 k)))) (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
8.765 * * * * [progress]: [ 63 / 248 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow (* n 2) (- 1/2 (* 1/2 k)))) (pow (* n 2) (- 1/2 (* 1/2 k)))) (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.765 * * * * [progress]: [ 64 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (cbrt (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))) (cbrt (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.765 * * * * [progress]: [ 65 / 248 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.766 * * * * [progress]: [ 66 / 248 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (sqrt (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.766 * * * * [progress]: [ 67 / 248 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (pow PI (- 1/2 (* 1/2 k)))) (* (pow (* n 2) (* 1/2 k)) (sqrt k))))>
8.766 * * * * [progress]: [ 68 / 248 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.766 * * * * [progress]: [ 69 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.766 * * * * [progress]: [ 70 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
8.766 * * * * [progress]: [ 71 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
8.766 * * * * [progress]: [ 72 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))))>
8.766 * * * * [progress]: [ 73 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))))>
8.766 * * * * [progress]: [ 74 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))))))>
8.766 * * * * [progress]: [ 75 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))))))>
8.766 * * * * [progress]: [ 76 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.766 * * * * [progress]: [ 77 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
8.766 * * * * [progress]: [ 78 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
8.767 * * * * [progress]: [ 79 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))))>
8.767 * * * * [progress]: [ 80 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))))>
8.767 * * * * [progress]: [ 81 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))))))>
8.767 * * * * [progress]: [ 82 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))))))>
8.767 * * * * [progress]: [ 83 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))) (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.767 * * * * [progress]: [ 84 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.767 * * * * [progress]: [ 85 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- (* 1/2 k))) (cbrt (sqrt k)))))>
8.767 * * * * [progress]: [ 86 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- (* 1/2 k))) (sqrt (cbrt k)))))>
8.767 * * * * [progress]: [ 87 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (sqrt (sqrt k)))))>
8.767 * * * * [progress]: [ 88 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt 1))) (/ (pow PI (- (* 1/2 k))) (sqrt k))))>
8.767 * * * * [progress]: [ 89 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (sqrt (sqrt k)))))>
8.767 * * * * [progress]: [ 90 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) 1)) (/ (pow PI (- (* 1/2 k))) (sqrt k))))>
8.767 * * * * [progress]: [ 91 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- (* 1/2 k))) (cbrt (sqrt k)))))>
8.768 * * * * [progress]: [ 92 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- (* 1/2 k))) (sqrt (cbrt k)))))>
8.768 * * * * [progress]: [ 93 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (sqrt (sqrt k)))))>
8.768 * * * * [progress]: [ 94 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt 1))) (/ (pow PI (- (* 1/2 k))) (sqrt k))))>
8.768 * * * * [progress]: [ 95 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (sqrt (sqrt k)))))>
8.768 * * * * [progress]: [ 96 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) 1)) (/ (pow PI (- (* 1/2 k))) (sqrt k))))>
8.768 * * * * [progress]: [ 97 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
8.768 * * * * [progress]: [ 98 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))))>
8.768 * * * * [progress]: [ 99 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
8.768 * * * * [progress]: [ 100 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt 1))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt k))))>
8.768 * * * * [progress]: [ 101 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
8.768 * * * * [progress]: [ 102 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) 1)) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt k))))>
8.768 * * * * [progress]: [ 103 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
8.769 * * * * [progress]: [ 104 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))))>
8.769 * * * * [progress]: [ 105 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
8.769 * * * * [progress]: [ 106 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt 1))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt k))))>
8.769 * * * * [progress]: [ 107 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
8.769 * * * * [progress]: [ 108 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) 1)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt k))))>
8.769 * * * * [progress]: [ 109 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow 1 (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
8.769 * * * * [progress]: [ 110 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))))>
8.769 * * * * [progress]: [ 111 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
8.769 * * * * [progress]: [ 112 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt 1))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.769 * * * * [progress]: [ 113 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
8.769 * * * * [progress]: [ 114 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow 1 (- 1/2 (* 1/2 k))) 1)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.769 * * * * [progress]: [ 115 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))))>
8.770 * * * * [progress]: [ 116 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (cbrt k)))))>
8.770 * * * * [progress]: [ 117 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))>
8.770 * * * * [progress]: [ 118 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt 1))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))))>
8.770 * * * * [progress]: [ 119 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))>
8.770 * * * * [progress]: [ 120 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) 1)) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))))>
8.770 * * * * [progress]: [ 121 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))))>
8.770 * * * * [progress]: [ 122 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (cbrt k)))))>
8.770 * * * * [progress]: [ 123 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))>
8.770 * * * * [progress]: [ 124 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt 1))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))))>
8.770 * * * * [progress]: [ 125 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))>
8.770 * * * * [progress]: [ 126 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) 1)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))))>
8.770 * * * * [progress]: [ 127 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
8.771 * * * * [progress]: [ 128 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))))>
8.771 * * * * [progress]: [ 129 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ 1 (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
8.771 * * * * [progress]: [ 130 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ 1 (sqrt 1))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.771 * * * * [progress]: [ 131 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ 1 (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
8.771 * * * * [progress]: [ 132 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ 1 1)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.771 * * * * [progress]: [ 133 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (cbrt (sqrt k)))))>
8.771 * * * * [progress]: [ 134 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (cbrt k)))))>
8.771 * * * * [progress]: [ 135 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))))>
8.771 * * * * [progress]: [ 136 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt 1))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt k))))>
8.771 * * * * [progress]: [ 137 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))))>
8.771 * * * * [progress]: [ 138 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) 1)) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt k))))>
8.772 * * * * [progress]: [ 139 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) 1) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.772 * * * * [progress]: [ 140 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (sqrt k))))>
8.772 * * * * [progress]: [ 141 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) 1/2) (* (pow (* n 2) (- (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.772 * * * * [progress]: [ 142 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) 1/2) (* (pow (* n 2) (- (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.772 * * * * [progress]: [ 143 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.772 * * * * [progress]: [ 144 / 248 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (cbrt (pow (* n 2) (- 1/2 (* 1/2 k))))) (* (cbrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.772 * * * * [progress]: [ 145 / 248 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (* (sqrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.772 * * * * [progress]: [ 146 / 248 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.772 * * * * [progress]: [ 147 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.772 * * * * [progress]: [ 148 / 248 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))>
8.772 * * * * [progress]: [ 149 / 248 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (pow (* n 2) (* 1/2 k))))>
8.772 * * * * [progress]: [ 150 / 248 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.772 * * * * [progress]: [ 151 / 248 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (pow (* n 2) (- 1/2 (* 1/2 k)))))>
8.773 * * * * [progress]: [ 152 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) 1)))>
8.773 * * * * [progress]: [ 153 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (exp (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))))>
8.773 * * * * [progress]: [ 154 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (exp (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))))>
8.773 * * * * [progress]: [ 155 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (exp (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k))))))>
8.773 * * * * [progress]: [ 156 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (exp (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.773 * * * * [progress]: [ 157 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (log (exp (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.773 * * * * [progress]: [ 158 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (cbrt (/ (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
8.773 * * * * [progress]: [ 159 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (* (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.773 * * * * [progress]: [ 160 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (cbrt (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.773 * * * * [progress]: [ 161 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.773 * * * * [progress]: [ 162 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (- (pow PI (- 1/2 (* 1/2 k)))) (- (sqrt k)))))>
8.773 * * * * [progress]: [ 163 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (cbrt (sqrt k))))))>
8.773 * * * * [progress]: [ 164 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- (* 1/2 k))) (sqrt (cbrt k))))))>
8.773 * * * * [progress]: [ 165 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (pow PI (- (* 1/2 k))) (sqrt (sqrt k))))))>
8.774 * * * * [progress]: [ 166 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (sqrt 1)) (/ (pow PI (- (* 1/2 k))) (sqrt k)))))>
8.774 * * * * [progress]: [ 167 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (pow PI (- (* 1/2 k))) (sqrt (sqrt k))))))>
8.774 * * * * [progress]: [ 168 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) 1) (/ (pow PI (- (* 1/2 k))) (sqrt k)))))>
8.774 * * * * [progress]: [ 169 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (cbrt (sqrt k))))))>
8.774 * * * * [progress]: [ 170 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- (* 1/2 k))) (sqrt (cbrt k))))))>
8.774 * * * * [progress]: [ 171 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (pow PI (- (* 1/2 k))) (sqrt (sqrt k))))))>
8.774 * * * * [progress]: [ 172 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (sqrt 1)) (/ (pow PI (- (* 1/2 k))) (sqrt k)))))>
8.774 * * * * [progress]: [ 173 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (pow PI (- (* 1/2 k))) (sqrt (sqrt k))))))>
8.774 * * * * [progress]: [ 174 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI 1/2) 1) (/ (pow PI (- (* 1/2 k))) (sqrt k)))))>
8.774 * * * * [progress]: [ 175 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))))>
8.774 * * * * [progress]: [ 176 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (cbrt k))))))>
8.774 * * * * [progress]: [ 177 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
8.775 * * * * [progress]: [ 178 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt 1)) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.775 * * * * [progress]: [ 179 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
8.775 * * * * [progress]: [ 180 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) 1) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.775 * * * * [progress]: [ 181 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))))>
8.775 * * * * [progress]: [ 182 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (cbrt k))))))>
8.775 * * * * [progress]: [ 183 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
8.775 * * * * [progress]: [ 184 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt 1)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.775 * * * * [progress]: [ 185 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
8.775 * * * * [progress]: [ 186 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) 1) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.775 * * * * [progress]: [ 187 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow 1 (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))))>
8.775 * * * * [progress]: [ 188 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (cbrt k))))))>
8.775 * * * * [progress]: [ 189 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
8.775 * * * * [progress]: [ 190 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt 1)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.776 * * * * [progress]: [ 191 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
8.776 * * * * [progress]: [ 192 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow 1 (- 1/2 (* 1/2 k))) 1) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.776 * * * * [progress]: [ 193 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))))>
8.776 * * * * [progress]: [ 194 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (cbrt k))))))>
8.776 * * * * [progress]: [ 195 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))))>
8.776 * * * * [progress]: [ 196 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt 1)) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))))>
8.776 * * * * [progress]: [ 197 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))))>
8.776 * * * * [progress]: [ 198 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) 1) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))))>
8.776 * * * * [progress]: [ 199 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))))>
8.776 * * * * [progress]: [ 200 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (cbrt k))))))>
8.776 * * * * [progress]: [ 201 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))))>
8.776 * * * * [progress]: [ 202 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt 1)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))))>
8.776 * * * * [progress]: [ 203 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))))>
8.777 * * * * [progress]: [ 204 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) 1) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))))>
8.777 * * * * [progress]: [ 205 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))))>
8.777 * * * * [progress]: [ 206 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (cbrt k))))))>
8.777 * * * * [progress]: [ 207 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
8.777 * * * * [progress]: [ 208 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ 1 (sqrt 1)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.777 * * * * [progress]: [ 209 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
8.777 * * * * [progress]: [ 210 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ 1 1) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.777 * * * * [progress]: [ 211 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (cbrt (sqrt k))))))>
8.777 * * * * [progress]: [ 212 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (cbrt k))))))>
8.777 * * * * [progress]: [ 213 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))))))>
8.777 * * * * [progress]: [ 214 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt 1)) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt k)))))>
8.777 * * * * [progress]: [ 215 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))))))>
8.777 * * * * [progress]: [ 216 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) 1) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt k)))))>
8.777 * * * * [progress]: [ 217 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* 1 (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
8.778 * * * * [progress]: [ 218 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (* (pow PI (- 1/2 (* 1/2 k))) (/ 1 (sqrt k)))))>
8.778 * * * * [progress]: [ 219 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ 1 (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k)))))))>
8.778 * * * * [progress]: [ 220 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))>
8.778 * * * * [progress]: [ 221 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))))>
8.778 * * * * [progress]: [ 222 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
8.778 * * * * [progress]: [ 223 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt 1)) (sqrt k))))>
8.778 * * * * [progress]: [ 224 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
8.778 * * * * [progress]: [ 225 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (/ (pow PI (- 1/2 (* 1/2 k))) 1) (sqrt k))))>
8.778 * * * * [progress]: [ 226 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt k) (pow PI (- (* 1/2 k)))))))>
8.778 * * * * [progress]: [ 227 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (/ (sqrt k) (pow PI (- (* 1/2 k)))))))>
8.778 * * * * [progress]: [ 228 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (* 1/2 k)))))))>
8.778 * * * * [progress]: [ 229 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (* 1/2 k)))))))>
8.779 * * * * [progress]: [ 230 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow 1 (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k)))))))>
8.779 * * * * [progress]: [ 231 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (* 1/2 k))))))))>
8.779 * * * * [progress]: [ 232 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (* 1/2 k))))))))>
8.779 * * * * [progress]: [ 233 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ 1 (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k)))))))>
8.779 * * * * [progress]: [ 234 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt k) (pow PI (/ (- 1/2 (* 1/2 k)) 2))))))>
8.779 * * * * [progress]: [ 235 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (* (sqrt k) (pow PI (* 1/2 k))))))>
8.779 * * * * [progress]: [ 236 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (posit16->real (real->posit16 (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
8.779 * * * * [progress]: [ 237 / 248 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.779 * * * * [progress]: [ 238 / 248 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.779 * * * * [progress]: [ 239 / 248 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.779 * * * * [progress]: [ 240 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) (sqrt k))))>
8.780 * * * * [progress]: [ 241 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.780 * * * * [progress]: [ 242 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
8.780 * * * * [progress]: [ 243 / 248 ] 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)))))))))))))))))))))))))))))))))>
8.780 * * * * [progress]: [ 244 / 248 ] 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)))))))))>
8.780 * * * * [progress]: [ 245 / 248 ] 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)))))))))>
8.780 * * * * [progress]: [ 246 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (pow k 2))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI))))))))))))))))>
8.780 * * * * [progress]: [ 247 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 3))) (- (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))))>
8.780 * * * * [progress]: [ 248 / 248 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (* 1/2 k))) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))) (- (* +nan.0 (pow PI (- 1/2 (* 1/2 k)))))))))))>
8.786 * [simplify]: Simplifying:
  (* (+ (log n) (log 2)) (- 1/2 (* 1/2 k)))
  (* (log (* n 2)) (- 1/2 (* 1/2 k)))
  (* (log (* n 2)) (- 1/2 (* 1/2 k)))
  (* 1 (- 1/2 (* 1/2 k)))
  (* 1 (- 1/2 (* 1/2 k)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (* 1/2 k))
  (pow (* n 2) (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow (* n 2) (sqrt (- 1/2 (* 1/2 k))))
  (pow (* n 2) 1)
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (* 1/2 k)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (* 1/2 k)))
  (pow n (- 1/2 (* 1/2 k)))
  (pow 2 (- 1/2 (* 1/2 k)))
  (log (pow (* n 2) (- 1/2 (* 1/2 k))))
  (exp (pow (* n 2) (- 1/2 (* 1/2 k))))
  (* (cbrt (pow (* n 2) (- 1/2 (* 1/2 k)))) (cbrt (pow (* n 2) (- 1/2 (* 1/2 k)))))
  (cbrt (pow (* n 2) (- 1/2 (* 1/2 k))))
  (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow (* n 2) (- 1/2 (* 1/2 k)))) (pow (* n 2) (- 1/2 (* 1/2 k))))
  (sqrt (pow (* n 2) (- 1/2 (* 1/2 k))))
  (sqrt (pow (* n 2) (- 1/2 (* 1/2 k))))
  (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2))
  (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2))
  (real->posit16 (pow (* n 2) (- 1/2 (* 1/2 k))))
  (* (log PI) (- 1/2 (* 1/2 k)))
  (* (log PI) (- 1/2 (* 1/2 k)))
  (* 1 (- 1/2 (* 1/2 k)))
  (pow PI 1/2)
  (pow PI (* 1/2 k))
  (pow PI (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow PI (sqrt (- 1/2 (* 1/2 k))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (- (* 1/2 k)))
  (pow PI 1/2)
  (pow PI (- (* 1/2 k)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))
  (pow (cbrt PI) (- 1/2 (* 1/2 k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  (pow 1 (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (log (pow PI (- 1/2 (* 1/2 k))))
  (exp (pow PI (- 1/2 (* 1/2 k))))
  (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (cbrt (pow PI (- 1/2 (* 1/2 k))))
  (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (pow PI (/ (- 1/2 (* 1/2 k)) 2))
  (pow PI (/ (- 1/2 (* 1/2 k)) 2))
  (real->posit16 (pow PI (- 1/2 (* 1/2 k))))
  (+ (* (+ (log n) (log 2)) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))
  (+ (* (+ (log n) (log 2)) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))
  (+ (* (+ (log n) (log 2)) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k))))
  (+ (* (+ (log n) (log 2)) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (+ (* (log (* n 2)) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))
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  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (cbrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (cbrt k)))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt 1))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt k))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) 1)
  (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))
  (/ (pow PI (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt 1))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) 1)
  (/ (sqrt k) (pow PI (- (* 1/2 k))))
  (/ (sqrt k) (pow PI (- (* 1/2 k))))
  (/ (sqrt k) (pow (cbrt PI) (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (pow (sqrt PI) (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (* 1/2 k)))))
  (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (pow PI (/ (- 1/2 (* 1/2 k)) 2)))
  (* (sqrt k) (pow PI (* 1/2 k)))
  (real->posit16 (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
  (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
  (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
  (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (pow k 2))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI))))))))))))))
  (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 3))) (- (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))) (- (* +nan.0 (pow PI (- 1/2 (* 1/2 k)))))))))
8.797 * * [simplify]: iteration 0: 429 enodes
8.951 * * [simplify]: iteration 1: 1223 enodes
9.826 * * [simplify]: iteration 2: 4539 enodes
10.980 * * [simplify]: iteration complete: 5001 enodes
10.981 * * [simplify]: Extracting #0: cost 169 inf + 0
10.984 * * [simplify]: Extracting #1: cost 835 inf + 2
10.992 * * [simplify]: Extracting #2: cost 1173 inf + 4904
11.009 * * [simplify]: Extracting #3: cost 1230 inf + 64224
11.041 * * [simplify]: Extracting #4: cost 713 inf + 304040
11.133 * * [simplify]: Extracting #5: cost 268 inf + 551617
11.253 * * [simplify]: Extracting #6: cost 142 inf + 617780
11.410 * * [simplify]: Extracting #7: cost 114 inf + 648162
11.535 * * [simplify]: Extracting #8: cost 106 inf + 674481
11.738 * * [simplify]: Extracting #9: cost 100 inf + 693238
11.929 * * [simplify]: Extracting #10: cost 54 inf + 736405
12.165 * * [simplify]: Extracting #11: cost 0 inf + 809604
12.412 * * [simplify]: Extracting #12: cost 0 inf + 808564
12.609 * * [simplify]: Extracting #13: cost 0 inf + 808324
12.828 * [simplify]: Simplified to:
  (* (- 1/2 (* 1/2 k)) (log (* 2 n)))
  (* (- 1/2 (* 1/2 k)) (log (* 2 n)))
  (* (- 1/2 (* 1/2 k)) (log (* 2 n)))
  (- 1/2 (* 1/2 k))
  (- 1/2 (* 1/2 k))
  (sqrt (* 2 n))
  (pow (* 2 n) (* 1/2 k))
  (pow (* 2 n) (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow (* 2 n) (sqrt (- 1/2 (* 1/2 k))))
  (* 2 n)
  (sqrt (* 2 n))
  (pow (* 2 n) (* -1/2 k))
  (sqrt (* 2 n))
  (pow (* 2 n) (* -1/2 k))
  (pow n (- 1/2 (* 1/2 k)))
  (pow 2 (- 1/2 (* 1/2 k)))
  (* (- 1/2 (* 1/2 k)) (log (* 2 n)))
  (exp (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (* (cbrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (cbrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))))
  (cbrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (* (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (pow (* 2 n) (- 1/4 (/ k 4)))
  (pow (* 2 n) (- 1/4 (/ k 4)))
  (real->posit16 (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (* (- 1/2 (* 1/2 k)) (log PI))
  (* (- 1/2 (* 1/2 k)) (log PI))
  (- 1/2 (* 1/2 k))
  (sqrt PI)
  (pow PI (* 1/2 k))
  (pow PI (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow PI (sqrt (- 1/2 (* 1/2 k))))
  PI
  (sqrt PI)
  (pow PI (* -1/2 k))
  (sqrt PI)
  (pow PI (* -1/2 k))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))
  (pow (cbrt PI) (- 1/2 (* 1/2 k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  1
  (pow PI (- 1/2 (* 1/2 k)))
  (* (log PI) (- 1/2 (* 1/2 k)))
  (exp (pow PI (- 1/2 (* 1/2 k))))
  (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (cbrt (pow PI (- 1/2 (* 1/2 k))))
  (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (pow PI (- 1/4 (/ k 4)))
  (pow PI (- 1/4 (/ k 4)))
  (real->posit16 (pow PI (- 1/2 (* 1/2 k))))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))
  (exp (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k)))
  (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k)) (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k)) (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k))))
  (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k)) (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k)) (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k))))
  (* (cbrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k))) (cbrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k))))
  (cbrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k)))
  (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k)) (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k)) (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k))))
  (sqrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k)))
  (sqrt (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k)))
  (* (sqrt (* 2 n)) (pow PI (- 1/2 (* 1/2 k))))
  (* (sqrt k) (pow (* 2 n) (* 1/2 k)))
  (* (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))))
  (* (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))))
  (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (/ (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (* 1/2 k))))))
  (/ (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (* 1/2 k))))))
  (/ (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (* 1/2 k))))))
  (/ (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (* 1/2 k))))))
  (/ (* (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))) (sqrt (sqrt k)))
  (/ (* (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))) (sqrt (sqrt k)))
  (/ (* (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))) (sqrt (sqrt k)))
  (/ (* (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))) (sqrt (sqrt k)))
  (* (* (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 4))) (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 4)))
  (* (* (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 4))) (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 4)))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (/ (* (pow PI (- 1/4 (/ k 4))) (pow (* 2 n) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (/ (* (pow PI (- 1/4 (/ k 4))) (pow (* 2 n) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (/ (* (pow PI (- 1/4 (/ k 4))) (pow (* 2 n) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (/ (* (pow PI (- 1/4 (/ k 4))) (pow (* 2 n) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))
  (* (* (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (cbrt (sqrt k))) (/ (sqrt PI) (cbrt (sqrt k))))
  (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (/ (fabs (cbrt k)) (sqrt PI)))
  (/ (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (sqrt PI)) (sqrt (sqrt k)))
  (* (sqrt PI) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (/ (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (sqrt PI)) (sqrt (sqrt k)))
  (* (sqrt PI) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (* (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (cbrt (sqrt k))) (/ (sqrt PI) (cbrt (sqrt k))))
  (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (/ (fabs (cbrt k)) (sqrt PI)))
  (/ (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (sqrt PI)) (sqrt (sqrt k)))
  (* (sqrt PI) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (/ (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (sqrt PI)) (sqrt (sqrt k)))
  (* (sqrt PI) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (* (/ (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (/ (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))) (fabs (cbrt k)))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))))
  (/ (* (pow (sqrt PI) (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (fabs (cbrt k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (pow (sqrt PI) (- 1/2 (* 1/2 k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (pow (sqrt PI) (- 1/2 (* 1/2 k))))
  (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (fabs (cbrt k)))
  (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))
  (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))
  (* (* (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (* (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (fabs (cbrt k)) (cbrt (pow PI (- 1/2 (* 1/2 k)))))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (/ (* (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt (sqrt k)))
  (* (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (/ (* (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt (sqrt k)))
  (* (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (/ (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (cbrt (sqrt k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (fabs (cbrt k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (sqrt (pow PI (- 1/2 (* 1/2 k)))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (sqrt (pow PI (- 1/2 (* 1/2 k)))))
  (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (fabs (cbrt k)))
  (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))
  (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (sqrt (sqrt k)))
  (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))
  (/ (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1/2 (* 1/2 k)) 2))))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (fabs (cbrt k))))
  (/ (* (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt (sqrt k)))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (pow PI (/ (- 1/2 (* 1/2 k)) 2)))
  (/ (* (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt (sqrt k)))
  (* (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) (pow PI (/ (- 1/2 (* 1/2 k)) 2)))
  (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))
  (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (/ (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (* (pow PI (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (cbrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (sqrt (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))))
  (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k))
  (/ (pow (* 2 n) (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k)))))
  (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))))
  (/ (* (sqrt (* 2 n)) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (real->posit16 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k)))
  (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))
  (exp (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (- (pow PI (- 1/2 (* 1/2 k))))
  (- (sqrt k))
  (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (* -1/2 k)) (cbrt (sqrt k)))
  (/ (sqrt PI) (fabs (cbrt k)))
  (/ (pow PI (* -1/2 k)) (sqrt (cbrt k)))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (pow PI (* -1/2 k)) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (pow PI (* -1/2 k)) (sqrt k))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (pow PI (* -1/2 k)) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (pow PI (* -1/2 k)) (sqrt k))
  (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (* -1/2 k)) (cbrt (sqrt k)))
  (/ (sqrt PI) (fabs (cbrt k)))
  (/ (pow PI (* -1/2 k)) (sqrt (cbrt k)))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (pow PI (* -1/2 k)) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (pow PI (* -1/2 k)) (sqrt k))
  (/ (sqrt PI) (sqrt (sqrt k)))
  (/ (pow PI (* -1/2 k)) (sqrt (sqrt k)))
  (sqrt PI)
  (/ (pow PI (* -1/2 k)) (sqrt k))
  (/ (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))
  (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt k))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))
  (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt k))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt k))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  1
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  1
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))
  (* (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (fabs (cbrt k)) (cbrt (pow PI (- 1/2 (* 1/2 k))))))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (cbrt k)))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (* 1/2 k))))))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (* 1/2 k))))))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (fabs (cbrt k)))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (cbrt k)))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  1
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  1
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))
  (/ (pow PI (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/4 (/ k 4))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/4 (/ k 4))) (fabs (cbrt k)))
  (/ (pow PI (- 1/4 (/ k 4))) (sqrt (cbrt k)))
  (/ (pow PI (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow PI (- 1/4 (/ k 4)))
  (/ (pow PI (- 1/4 (/ k 4))) (sqrt k))
  (/ (pow PI (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow PI (- 1/4 (/ k 4)))
  (/ (pow PI (- 1/4 (/ k 4))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))
  (/ (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (/ (sqrt k) (pow PI (* -1/2 k)))
  (/ (sqrt k) (pow PI (* -1/2 k)))
  (/ (sqrt k) (pow (cbrt PI) (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (pow (sqrt PI) (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (* 1/2 k)))))
  (/ (sqrt k) (pow PI (- 1/2 (* 1/2 k))))
  (/ (sqrt k) (pow PI (- 1/4 (/ k 4))))
  (* (pow PI (* 1/2 k)) (sqrt k))
  (real->posit16 (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (+ (sqrt (* 2 n)) (+ (+ (* 1/8 (* (* (* k k) (sqrt (* 2 n))) (* (log n) (log n)))) (* 1/4 (* (log 2) (* (* (* k k) (log n)) (sqrt (* 2 n)))))) (- (* (* (* (* (log 2) (log 2)) 1/8) (* k k)) (sqrt (* 2 n))) (* 1/2 (* k (+ (* (sqrt (* 2 n)) (log n)) (* (log 2) (sqrt (* 2 n)))))))))
  (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))
  (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k))))
  (+ (* (sqrt PI) (- (* (* 1/8 (* k k)) (* (log PI) (log PI))) (* (* 1/2 k) (log PI)))) (sqrt PI))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (- (* (* (* (* (* k k) (sqrt (* 2 n))) (* (log n) (log n))) +nan.0) (sqrt PI)) (* (* +nan.0 (sqrt PI)) (sqrt (* 2 n)))) (+ (- (* +nan.0 (* (* (log 2) (log 2)) (* (sqrt PI) (* (* k k) (sqrt (* 2 n)))))) (* +nan.0 (* (sqrt PI) (* k (sqrt (* 2 n)))))) (- (* (* (sqrt PI) +nan.0) (* (* (log 2) (sqrt (* 2 n))) (* (log PI) (* k k)))) (+ (- (* (* (sqrt (* 2 n)) +nan.0) (* (log PI) (* k (sqrt PI)))) (* (* (* (sqrt PI) (sqrt (* 2 n))) (* (log PI) (* k k))) +nan.0)) (- (* (* (sqrt PI) +nan.0) (* (log 2) (* (* k k) (sqrt (* 2 n))))) (+ (- (* (* (sqrt PI) +nan.0) (* (* (log 2) k) (sqrt (* 2 n)))) (* (sqrt PI) (* (* +nan.0 (* (sqrt (* 2 n)) (log PI))) (* (* k k) (log n))))) (- (* (* (sqrt PI) (* (* k k) (sqrt (* 2 n)))) +nan.0) (- (* (* (sqrt (* 2 n)) +nan.0) (* (* (log PI) (log PI)) (* (sqrt PI) (* k k)))) (+ (- (* (* +nan.0 (sqrt PI)) (* (* (* k k) (log n)) (sqrt (* 2 n)))) (* (* +nan.0 (sqrt PI)) (* (log 2) (* (* (* k k) (log n)) (sqrt (* 2 n)))))) (* (* (sqrt PI) +nan.0) (* (* k (log n)) (sqrt (* 2 n))))))))))))))
  (+ (- (* (/ +nan.0 k) (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) k))) (- (/ (* (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) +nan.0) k) (/ (* (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n))))) +nan.0) (* k (* k k)))))
  (+ (* (* +nan.0 (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k))))) (- (pow PI (- 1/2 (* 1/2 k))))) (* +nan.0 (- (/ (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (/ k (pow PI (- 1/2 (* 1/2 k))))) (* (/ (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) k) (/ (pow PI (- 1/2 (* 1/2 k))) k)))))
  (- (+ (- (* (log PI) (* (* (sqrt PI) k) +nan.0)) (* +nan.0 (* (sqrt PI) k))) (+ (- (* +nan.0 (* (sqrt PI) (* k k))) (* (* (sqrt PI) +nan.0) (* (log PI) (* k k)))) (* +nan.0 (- (sqrt PI) (* (* (log PI) (log PI)) (* (sqrt PI) (* k k))))))))
  (- (- (/ (* +nan.0 (pow PI (- 1/2 (* 1/2 k)))) k) (* +nan.0 (- (/ (pow PI (- 1/2 (* 1/2 k))) (* k (* k k))) (/ (pow PI (- 1/2 (* 1/2 k))) (* k k))))))
  (+ (* (- +nan.0) (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (* (/ +nan.0 k) (/ (pow PI (- 1/2 (* 1/2 k))) k)) (* +nan.0 (pow PI (- 1/2 (* 1/2 k))))))
12.851 * * * [progress]: adding candidates to table
13.967 * * [progress]: iteration 3 / 4
13.967 * * * [progress]: picking best candidate
13.994 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
13.994 * * * [progress]: localizing error
14.047 * * * [progress]: generating rewritten candidates
14.047 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
14.053 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
14.058 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
14.125 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
14.217 * * * [progress]: generating series expansions
14.217 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
14.217 * [backup-simplify]: Simplify (pow n (- 1/2 (* 1/2 k))) into (pow n (- 1/2 (* 1/2 k)))
14.217 * [approximate]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in (n k) around 0
14.217 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
14.217 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
14.217 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
14.217 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.217 * [taylor]: Taking taylor expansion of 1/2 in k
14.217 * [backup-simplify]: Simplify 1/2 into 1/2
14.217 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.217 * [taylor]: Taking taylor expansion of 1/2 in k
14.217 * [backup-simplify]: Simplify 1/2 into 1/2
14.217 * [taylor]: Taking taylor expansion of k in k
14.217 * [backup-simplify]: Simplify 0 into 0
14.217 * [backup-simplify]: Simplify 1 into 1
14.218 * [taylor]: Taking taylor expansion of (log n) in k
14.218 * [taylor]: Taking taylor expansion of n in k
14.218 * [backup-simplify]: Simplify n into n
14.218 * [backup-simplify]: Simplify (log n) into (log n)
14.219 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.219 * [backup-simplify]: Simplify (- 0) into 0
14.219 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.220 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
14.220 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
14.220 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
14.220 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
14.220 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
14.220 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
14.220 * [taylor]: Taking taylor expansion of 1/2 in n
14.220 * [backup-simplify]: Simplify 1/2 into 1/2
14.220 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
14.220 * [taylor]: Taking taylor expansion of 1/2 in n
14.220 * [backup-simplify]: Simplify 1/2 into 1/2
14.220 * [taylor]: Taking taylor expansion of k in n
14.220 * [backup-simplify]: Simplify k into k
14.220 * [taylor]: Taking taylor expansion of (log n) in n
14.220 * [taylor]: Taking taylor expansion of n in n
14.220 * [backup-simplify]: Simplify 0 into 0
14.220 * [backup-simplify]: Simplify 1 into 1
14.220 * [backup-simplify]: Simplify (log 1) into 0
14.220 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
14.221 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
14.221 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
14.221 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.221 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
14.221 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
14.221 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
14.221 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
14.222 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
14.222 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
14.222 * [taylor]: Taking taylor expansion of 1/2 in n
14.222 * [backup-simplify]: Simplify 1/2 into 1/2
14.222 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
14.222 * [taylor]: Taking taylor expansion of 1/2 in n
14.222 * [backup-simplify]: Simplify 1/2 into 1/2
14.222 * [taylor]: Taking taylor expansion of k in n
14.222 * [backup-simplify]: Simplify k into k
14.222 * [taylor]: Taking taylor expansion of (log n) in n
14.222 * [taylor]: Taking taylor expansion of n in n
14.222 * [backup-simplify]: Simplify 0 into 0
14.222 * [backup-simplify]: Simplify 1 into 1
14.222 * [backup-simplify]: Simplify (log 1) into 0
14.222 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
14.222 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
14.222 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
14.223 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.223 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
14.223 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
14.223 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
14.223 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
14.223 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
14.223 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.223 * [taylor]: Taking taylor expansion of 1/2 in k
14.223 * [backup-simplify]: Simplify 1/2 into 1/2
14.224 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.224 * [taylor]: Taking taylor expansion of 1/2 in k
14.224 * [backup-simplify]: Simplify 1/2 into 1/2
14.224 * [taylor]: Taking taylor expansion of k in k
14.224 * [backup-simplify]: Simplify 0 into 0
14.224 * [backup-simplify]: Simplify 1 into 1
14.224 * [taylor]: Taking taylor expansion of (log n) in k
14.224 * [taylor]: Taking taylor expansion of n in k
14.224 * [backup-simplify]: Simplify n into n
14.224 * [backup-simplify]: Simplify (log n) into (log n)
14.224 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.225 * [backup-simplify]: Simplify (- 0) into 0
14.225 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.225 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
14.225 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
14.225 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2)
14.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
14.228 * [backup-simplify]: Simplify (- 0) into 0
14.228 * [backup-simplify]: Simplify (+ 0 0) into 0
14.229 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.229 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0
14.230 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
14.230 * [taylor]: Taking taylor expansion of 0 in k
14.230 * [backup-simplify]: Simplify 0 into 0
14.230 * [backup-simplify]: Simplify 0 into 0
14.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
14.231 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
14.232 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.232 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n)))
14.233 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
14.233 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n)))
14.236 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
14.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
14.238 * [backup-simplify]: Simplify (- 0) into 0
14.238 * [backup-simplify]: Simplify (+ 0 0) into 0
14.239 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
14.239 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
14.241 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.241 * [taylor]: Taking taylor expansion of 0 in k
14.241 * [backup-simplify]: Simplify 0 into 0
14.241 * [backup-simplify]: Simplify 0 into 0
14.241 * [backup-simplify]: Simplify 0 into 0
14.243 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
14.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
14.244 * [backup-simplify]: Simplify (- 0) into 0
14.244 * [backup-simplify]: Simplify (+ 0 0) into 0
14.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0
14.246 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
14.246 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
14.247 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
14.247 * [backup-simplify]: Simplify (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
14.247 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
14.247 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
14.247 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k
14.247 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k
14.247 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.248 * [taylor]: Taking taylor expansion of 1/2 in k
14.248 * [backup-simplify]: Simplify 1/2 into 1/2
14.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.248 * [taylor]: Taking taylor expansion of 1/2 in k
14.248 * [backup-simplify]: Simplify 1/2 into 1/2
14.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.248 * [taylor]: Taking taylor expansion of k in k
14.248 * [backup-simplify]: Simplify 0 into 0
14.248 * [backup-simplify]: Simplify 1 into 1
14.248 * [backup-simplify]: Simplify (/ 1 1) into 1
14.248 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
14.248 * [taylor]: Taking taylor expansion of (/ 1 n) in k
14.248 * [taylor]: Taking taylor expansion of n in k
14.248 * [backup-simplify]: Simplify n into n
14.248 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
14.248 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
14.249 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.249 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.250 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.250 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
14.250 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
14.250 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
14.250 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
14.250 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
14.250 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
14.250 * [taylor]: Taking taylor expansion of 1/2 in n
14.250 * [backup-simplify]: Simplify 1/2 into 1/2
14.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.250 * [taylor]: Taking taylor expansion of 1/2 in n
14.250 * [backup-simplify]: Simplify 1/2 into 1/2
14.250 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.250 * [taylor]: Taking taylor expansion of k in n
14.250 * [backup-simplify]: Simplify k into k
14.250 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.250 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
14.250 * [taylor]: Taking taylor expansion of (/ 1 n) in n
14.250 * [taylor]: Taking taylor expansion of n in n
14.250 * [backup-simplify]: Simplify 0 into 0
14.250 * [backup-simplify]: Simplify 1 into 1
14.251 * [backup-simplify]: Simplify (/ 1 1) into 1
14.251 * [backup-simplify]: Simplify (log 1) into 0
14.251 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.251 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
14.251 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
14.252 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
14.252 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
14.252 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
14.252 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
14.252 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
14.252 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
14.252 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
14.252 * [taylor]: Taking taylor expansion of 1/2 in n
14.252 * [backup-simplify]: Simplify 1/2 into 1/2
14.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.252 * [taylor]: Taking taylor expansion of 1/2 in n
14.252 * [backup-simplify]: Simplify 1/2 into 1/2
14.252 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.252 * [taylor]: Taking taylor expansion of k in n
14.252 * [backup-simplify]: Simplify k into k
14.253 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.253 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
14.253 * [taylor]: Taking taylor expansion of (/ 1 n) in n
14.253 * [taylor]: Taking taylor expansion of n in n
14.253 * [backup-simplify]: Simplify 0 into 0
14.253 * [backup-simplify]: Simplify 1 into 1
14.253 * [backup-simplify]: Simplify (/ 1 1) into 1
14.253 * [backup-simplify]: Simplify (log 1) into 0
14.253 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.254 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
14.254 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
14.254 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
14.254 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
14.254 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
14.255 * [taylor]: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k
14.255 * [taylor]: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k
14.255 * [taylor]: Taking taylor expansion of -1 in k
14.255 * [backup-simplify]: Simplify -1 into -1
14.255 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k
14.255 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.255 * [taylor]: Taking taylor expansion of 1/2 in k
14.255 * [backup-simplify]: Simplify 1/2 into 1/2
14.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.255 * [taylor]: Taking taylor expansion of 1/2 in k
14.255 * [backup-simplify]: Simplify 1/2 into 1/2
14.255 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.255 * [taylor]: Taking taylor expansion of k in k
14.255 * [backup-simplify]: Simplify 0 into 0
14.255 * [backup-simplify]: Simplify 1 into 1
14.255 * [backup-simplify]: Simplify (/ 1 1) into 1
14.255 * [taylor]: Taking taylor expansion of (log n) in k
14.255 * [taylor]: Taking taylor expansion of n in k
14.255 * [backup-simplify]: Simplify n into n
14.255 * [backup-simplify]: Simplify (log n) into (log n)
14.256 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.256 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.257 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.257 * [backup-simplify]: Simplify (* -1/2 (log n)) into (* -1/2 (log n))
14.257 * [backup-simplify]: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n))
14.257 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
14.257 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
14.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.261 * [backup-simplify]: Simplify (- 0) into 0
14.261 * [backup-simplify]: Simplify (+ 0 0) into 0
14.261 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
14.262 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
14.263 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.263 * [taylor]: Taking taylor expansion of 0 in k
14.263 * [backup-simplify]: Simplify 0 into 0
14.263 * [backup-simplify]: Simplify 0 into 0
14.263 * [backup-simplify]: Simplify 0 into 0
14.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.266 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
14.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
14.268 * [backup-simplify]: Simplify (- 0) into 0
14.268 * [backup-simplify]: Simplify (+ 0 0) into 0
14.269 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
14.269 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
14.271 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.271 * [taylor]: Taking taylor expansion of 0 in k
14.271 * [backup-simplify]: Simplify 0 into 0
14.271 * [backup-simplify]: Simplify 0 into 0
14.271 * [backup-simplify]: Simplify 0 into 0
14.271 * [backup-simplify]: Simplify 0 into 0
14.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.277 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
14.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
14.278 * [backup-simplify]: Simplify (- 0) into 0
14.279 * [backup-simplify]: Simplify (+ 0 0) into 0
14.279 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
14.280 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
14.282 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.282 * [taylor]: Taking taylor expansion of 0 in k
14.282 * [backup-simplify]: Simplify 0 into 0
14.282 * [backup-simplify]: Simplify 0 into 0
14.282 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n)))))
14.283 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (- 1/2 (* 1/2 (/ 1 (- k))))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
14.283 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
14.283 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
14.283 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k
14.283 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k
14.283 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.283 * [taylor]: Taking taylor expansion of 1/2 in k
14.283 * [backup-simplify]: Simplify 1/2 into 1/2
14.283 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.283 * [taylor]: Taking taylor expansion of k in k
14.283 * [backup-simplify]: Simplify 0 into 0
14.283 * [backup-simplify]: Simplify 1 into 1
14.283 * [backup-simplify]: Simplify (/ 1 1) into 1
14.283 * [taylor]: Taking taylor expansion of 1/2 in k
14.283 * [backup-simplify]: Simplify 1/2 into 1/2
14.283 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
14.283 * [taylor]: Taking taylor expansion of (/ -1 n) in k
14.283 * [taylor]: Taking taylor expansion of -1 in k
14.283 * [backup-simplify]: Simplify -1 into -1
14.284 * [taylor]: Taking taylor expansion of n in k
14.284 * [backup-simplify]: Simplify n into n
14.284 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
14.284 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
14.284 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.285 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.285 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
14.285 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
14.285 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
14.285 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
14.285 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
14.285 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
14.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.285 * [taylor]: Taking taylor expansion of 1/2 in n
14.285 * [backup-simplify]: Simplify 1/2 into 1/2
14.285 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.285 * [taylor]: Taking taylor expansion of k in n
14.285 * [backup-simplify]: Simplify k into k
14.285 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.285 * [taylor]: Taking taylor expansion of 1/2 in n
14.285 * [backup-simplify]: Simplify 1/2 into 1/2
14.285 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
14.285 * [taylor]: Taking taylor expansion of (/ -1 n) in n
14.285 * [taylor]: Taking taylor expansion of -1 in n
14.285 * [backup-simplify]: Simplify -1 into -1
14.285 * [taylor]: Taking taylor expansion of n in n
14.285 * [backup-simplify]: Simplify 0 into 0
14.285 * [backup-simplify]: Simplify 1 into 1
14.286 * [backup-simplify]: Simplify (/ -1 1) into -1
14.286 * [backup-simplify]: Simplify (log -1) into (log -1)
14.286 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.286 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
14.287 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
14.288 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
14.289 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
14.289 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
14.289 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
14.289 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
14.289 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
14.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.289 * [taylor]: Taking taylor expansion of 1/2 in n
14.289 * [backup-simplify]: Simplify 1/2 into 1/2
14.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.289 * [taylor]: Taking taylor expansion of k in n
14.289 * [backup-simplify]: Simplify k into k
14.289 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.289 * [taylor]: Taking taylor expansion of 1/2 in n
14.289 * [backup-simplify]: Simplify 1/2 into 1/2
14.289 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
14.289 * [taylor]: Taking taylor expansion of (/ -1 n) in n
14.290 * [taylor]: Taking taylor expansion of -1 in n
14.290 * [backup-simplify]: Simplify -1 into -1
14.290 * [taylor]: Taking taylor expansion of n in n
14.290 * [backup-simplify]: Simplify 0 into 0
14.290 * [backup-simplify]: Simplify 1 into 1
14.290 * [backup-simplify]: Simplify (/ -1 1) into -1
14.291 * [backup-simplify]: Simplify (log -1) into (log -1)
14.291 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.291 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
14.292 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
14.292 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
14.293 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
14.293 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k
14.293 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k
14.293 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.293 * [taylor]: Taking taylor expansion of 1/2 in k
14.293 * [backup-simplify]: Simplify 1/2 into 1/2
14.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.293 * [taylor]: Taking taylor expansion of k in k
14.293 * [backup-simplify]: Simplify 0 into 0
14.293 * [backup-simplify]: Simplify 1 into 1
14.294 * [backup-simplify]: Simplify (/ 1 1) into 1
14.294 * [taylor]: Taking taylor expansion of 1/2 in k
14.294 * [backup-simplify]: Simplify 1/2 into 1/2
14.294 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k
14.294 * [taylor]: Taking taylor expansion of (log -1) in k
14.294 * [taylor]: Taking taylor expansion of -1 in k
14.294 * [backup-simplify]: Simplify -1 into -1
14.294 * [backup-simplify]: Simplify (log -1) into (log -1)
14.294 * [taylor]: Taking taylor expansion of (log n) in k
14.294 * [taylor]: Taking taylor expansion of n in k
14.294 * [backup-simplify]: Simplify n into n
14.294 * [backup-simplify]: Simplify (log n) into (log n)
14.295 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.300 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.300 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
14.301 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
14.301 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
14.302 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
14.303 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
14.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
14.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.306 * [backup-simplify]: Simplify (+ 0 0) into 0
14.307 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
14.307 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0
14.309 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.309 * [taylor]: Taking taylor expansion of 0 in k
14.309 * [backup-simplify]: Simplify 0 into 0
14.309 * [backup-simplify]: Simplify 0 into 0
14.309 * [backup-simplify]: Simplify 0 into 0
14.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.313 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
14.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
14.314 * [backup-simplify]: Simplify (+ 0 0) into 0
14.315 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
14.316 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
14.318 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.318 * [taylor]: Taking taylor expansion of 0 in k
14.318 * [backup-simplify]: Simplify 0 into 0
14.318 * [backup-simplify]: Simplify 0 into 0
14.318 * [backup-simplify]: Simplify 0 into 0
14.318 * [backup-simplify]: Simplify 0 into 0
14.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.324 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
14.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
14.326 * [backup-simplify]: Simplify (+ 0 0) into 0
14.327 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
14.328 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
14.330 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.330 * [taylor]: Taking taylor expansion of 0 in k
14.330 * [backup-simplify]: Simplify 0 into 0
14.330 * [backup-simplify]: Simplify 0 into 0
14.331 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n)))))
14.331 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
14.331 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 k))) into (pow PI (- 1/2 (* 1/2 k)))
14.331 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
14.331 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
14.331 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
14.331 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
14.331 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.331 * [taylor]: Taking taylor expansion of 1/2 in k
14.331 * [backup-simplify]: Simplify 1/2 into 1/2
14.331 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.331 * [taylor]: Taking taylor expansion of 1/2 in k
14.332 * [backup-simplify]: Simplify 1/2 into 1/2
14.332 * [taylor]: Taking taylor expansion of k in k
14.332 * [backup-simplify]: Simplify 0 into 0
14.332 * [backup-simplify]: Simplify 1 into 1
14.332 * [taylor]: Taking taylor expansion of (log PI) in k
14.332 * [taylor]: Taking taylor expansion of PI in k
14.332 * [backup-simplify]: Simplify PI into PI
14.332 * [backup-simplify]: Simplify (log PI) into (log PI)
14.333 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.333 * [backup-simplify]: Simplify (- 0) into 0
14.333 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.334 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
14.336 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
14.336 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
14.336 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
14.336 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
14.336 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.336 * [taylor]: Taking taylor expansion of 1/2 in k
14.336 * [backup-simplify]: Simplify 1/2 into 1/2
14.336 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.336 * [taylor]: Taking taylor expansion of 1/2 in k
14.336 * [backup-simplify]: Simplify 1/2 into 1/2
14.336 * [taylor]: Taking taylor expansion of k in k
14.336 * [backup-simplify]: Simplify 0 into 0
14.336 * [backup-simplify]: Simplify 1 into 1
14.336 * [taylor]: Taking taylor expansion of (log PI) in k
14.336 * [taylor]: Taking taylor expansion of PI in k
14.336 * [backup-simplify]: Simplify PI into PI
14.337 * [backup-simplify]: Simplify (log PI) into (log PI)
14.337 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.338 * [backup-simplify]: Simplify (- 0) into 0
14.338 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.339 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
14.341 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
14.341 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
14.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
14.344 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
14.344 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.345 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
14.357 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
14.359 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
14.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
14.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
14.363 * [backup-simplify]: Simplify (- 0) into 0
14.364 * [backup-simplify]: Simplify (+ 0 0) into 0
14.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
14.377 * [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)))
14.380 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
14.386 * [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))))
14.386 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
14.386 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
14.386 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
14.386 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
14.386 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
14.387 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.387 * [taylor]: Taking taylor expansion of 1/2 in k
14.387 * [backup-simplify]: Simplify 1/2 into 1/2
14.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.387 * [taylor]: Taking taylor expansion of 1/2 in k
14.387 * [backup-simplify]: Simplify 1/2 into 1/2
14.387 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.387 * [taylor]: Taking taylor expansion of k in k
14.387 * [backup-simplify]: Simplify 0 into 0
14.387 * [backup-simplify]: Simplify 1 into 1
14.387 * [backup-simplify]: Simplify (/ 1 1) into 1
14.387 * [taylor]: Taking taylor expansion of (log PI) in k
14.387 * [taylor]: Taking taylor expansion of PI in k
14.387 * [backup-simplify]: Simplify PI into PI
14.388 * [backup-simplify]: Simplify (log PI) into (log PI)
14.388 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.388 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.389 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.390 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
14.390 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
14.390 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
14.390 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
14.390 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
14.391 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.391 * [taylor]: Taking taylor expansion of 1/2 in k
14.391 * [backup-simplify]: Simplify 1/2 into 1/2
14.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.391 * [taylor]: Taking taylor expansion of 1/2 in k
14.391 * [backup-simplify]: Simplify 1/2 into 1/2
14.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.391 * [taylor]: Taking taylor expansion of k in k
14.391 * [backup-simplify]: Simplify 0 into 0
14.391 * [backup-simplify]: Simplify 1 into 1
14.391 * [backup-simplify]: Simplify (/ 1 1) into 1
14.391 * [taylor]: Taking taylor expansion of (log PI) in k
14.391 * [taylor]: Taking taylor expansion of PI in k
14.391 * [backup-simplify]: Simplify PI into PI
14.392 * [backup-simplify]: Simplify (log PI) into (log PI)
14.392 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.392 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.393 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.394 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
14.394 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
14.395 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
14.395 * [backup-simplify]: Simplify 0 into 0
14.395 * [backup-simplify]: Simplify 0 into 0
14.395 * [backup-simplify]: Simplify 0 into 0
14.395 * [backup-simplify]: Simplify 0 into 0
14.395 * [backup-simplify]: Simplify 0 into 0
14.395 * [backup-simplify]: Simplify 0 into 0
14.395 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
14.395 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (- k))))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
14.395 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
14.395 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
14.395 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
14.395 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
14.395 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.395 * [taylor]: Taking taylor expansion of 1/2 in k
14.396 * [backup-simplify]: Simplify 1/2 into 1/2
14.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.396 * [taylor]: Taking taylor expansion of k in k
14.396 * [backup-simplify]: Simplify 0 into 0
14.396 * [backup-simplify]: Simplify 1 into 1
14.396 * [backup-simplify]: Simplify (/ 1 1) into 1
14.396 * [taylor]: Taking taylor expansion of 1/2 in k
14.396 * [backup-simplify]: Simplify 1/2 into 1/2
14.396 * [taylor]: Taking taylor expansion of (log PI) in k
14.396 * [taylor]: Taking taylor expansion of PI in k
14.396 * [backup-simplify]: Simplify PI into PI
14.397 * [backup-simplify]: Simplify (log PI) into (log PI)
14.397 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.397 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.398 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
14.399 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
14.399 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
14.399 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
14.399 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
14.399 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.399 * [taylor]: Taking taylor expansion of 1/2 in k
14.399 * [backup-simplify]: Simplify 1/2 into 1/2
14.399 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.399 * [taylor]: Taking taylor expansion of k in k
14.399 * [backup-simplify]: Simplify 0 into 0
14.399 * [backup-simplify]: Simplify 1 into 1
14.400 * [backup-simplify]: Simplify (/ 1 1) into 1
14.400 * [taylor]: Taking taylor expansion of 1/2 in k
14.400 * [backup-simplify]: Simplify 1/2 into 1/2
14.400 * [taylor]: Taking taylor expansion of (log PI) in k
14.400 * [taylor]: Taking taylor expansion of PI in k
14.400 * [backup-simplify]: Simplify PI into PI
14.400 * [backup-simplify]: Simplify (log PI) into (log PI)
14.401 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.401 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.402 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
14.403 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
14.403 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
14.403 * [backup-simplify]: Simplify 0 into 0
14.403 * [backup-simplify]: Simplify 0 into 0
14.403 * [backup-simplify]: Simplify 0 into 0
14.403 * [backup-simplify]: Simplify 0 into 0
14.403 * [backup-simplify]: Simplify 0 into 0
14.403 * [backup-simplify]: Simplify 0 into 0
14.403 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
14.403 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
14.404 * [backup-simplify]: Simplify (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) into (* (* (pow PI (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
14.404 * [approximate]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k) around 0
14.404 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
14.404 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in k
14.404 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
14.404 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
14.404 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
14.404 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.404 * [taylor]: Taking taylor expansion of 1/2 in k
14.404 * [backup-simplify]: Simplify 1/2 into 1/2
14.404 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.404 * [taylor]: Taking taylor expansion of 1/2 in k
14.404 * [backup-simplify]: Simplify 1/2 into 1/2
14.404 * [taylor]: Taking taylor expansion of k in k
14.404 * [backup-simplify]: Simplify 0 into 0
14.404 * [backup-simplify]: Simplify 1 into 1
14.404 * [taylor]: Taking taylor expansion of (log PI) in k
14.404 * [taylor]: Taking taylor expansion of PI in k
14.404 * [backup-simplify]: Simplify PI into PI
14.405 * [backup-simplify]: Simplify (log PI) into (log PI)
14.405 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.405 * [backup-simplify]: Simplify (- 0) into 0
14.406 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.407 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
14.408 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
14.408 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k
14.408 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k
14.408 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k
14.408 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.408 * [taylor]: Taking taylor expansion of 1/2 in k
14.408 * [backup-simplify]: Simplify 1/2 into 1/2
14.408 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.408 * [taylor]: Taking taylor expansion of 1/2 in k
14.408 * [backup-simplify]: Simplify 1/2 into 1/2
14.408 * [taylor]: Taking taylor expansion of k in k
14.408 * [backup-simplify]: Simplify 0 into 0
14.408 * [backup-simplify]: Simplify 1 into 1
14.408 * [taylor]: Taking taylor expansion of (log 2) in k
14.408 * [taylor]: Taking taylor expansion of 2 in k
14.408 * [backup-simplify]: Simplify 2 into 2
14.408 * [backup-simplify]: Simplify (log 2) into (log 2)
14.409 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.409 * [backup-simplify]: Simplify (- 0) into 0
14.409 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.410 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
14.410 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2)
14.410 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.411 * [taylor]: Taking taylor expansion of k in k
14.411 * [backup-simplify]: Simplify 0 into 0
14.411 * [backup-simplify]: Simplify 1 into 1
14.411 * [backup-simplify]: Simplify (/ 1 1) into 1
14.411 * [backup-simplify]: Simplify (sqrt 0) into 0
14.412 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.412 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
14.412 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in k
14.412 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
14.412 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
14.412 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
14.412 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.412 * [taylor]: Taking taylor expansion of 1/2 in k
14.412 * [backup-simplify]: Simplify 1/2 into 1/2
14.412 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.412 * [taylor]: Taking taylor expansion of 1/2 in k
14.412 * [backup-simplify]: Simplify 1/2 into 1/2
14.412 * [taylor]: Taking taylor expansion of k in k
14.412 * [backup-simplify]: Simplify 0 into 0
14.412 * [backup-simplify]: Simplify 1 into 1
14.412 * [taylor]: Taking taylor expansion of (log PI) in k
14.412 * [taylor]: Taking taylor expansion of PI in k
14.412 * [backup-simplify]: Simplify PI into PI
14.413 * [backup-simplify]: Simplify (log PI) into (log PI)
14.413 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.413 * [backup-simplify]: Simplify (- 0) into 0
14.413 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.414 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
14.415 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
14.415 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k
14.415 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k
14.415 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k
14.415 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.415 * [taylor]: Taking taylor expansion of 1/2 in k
14.415 * [backup-simplify]: Simplify 1/2 into 1/2
14.415 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.415 * [taylor]: Taking taylor expansion of 1/2 in k
14.415 * [backup-simplify]: Simplify 1/2 into 1/2
14.415 * [taylor]: Taking taylor expansion of k in k
14.415 * [backup-simplify]: Simplify 0 into 0
14.415 * [backup-simplify]: Simplify 1 into 1
14.415 * [taylor]: Taking taylor expansion of (log 2) in k
14.415 * [taylor]: Taking taylor expansion of 2 in k
14.415 * [backup-simplify]: Simplify 2 into 2
14.415 * [backup-simplify]: Simplify (log 2) into (log 2)
14.416 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.416 * [backup-simplify]: Simplify (- 0) into 0
14.416 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.417 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
14.418 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2)
14.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.418 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.418 * [taylor]: Taking taylor expansion of k in k
14.418 * [backup-simplify]: Simplify 0 into 0
14.418 * [backup-simplify]: Simplify 1 into 1
14.418 * [backup-simplify]: Simplify (/ 1 1) into 1
14.418 * [backup-simplify]: Simplify (sqrt 0) into 0
14.419 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.420 * [backup-simplify]: Simplify (* (pow PI 1/2) (pow 2 1/2)) into (sqrt (* PI 2))
14.421 * [backup-simplify]: Simplify (* (sqrt (* PI 2)) 0) into 0
14.421 * [backup-simplify]: Simplify 0 into 0
14.422 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
14.422 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
14.422 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.423 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2)))
14.436 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2)))
14.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
14.438 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
14.439 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.439 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
14.451 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
14.463 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/2 (* (log PI) (sqrt PI))) (pow 2 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI)))))
14.471 * [backup-simplify]: Simplify (+ (* (sqrt (* PI 2)) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt PI))))
14.474 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI))))
14.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.478 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.480 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
14.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
14.481 * [backup-simplify]: Simplify (- 0) into 0
14.481 * [backup-simplify]: Simplify (+ 0 0) into 0
14.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0
14.488 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2)))
14.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
14.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
14.490 * [backup-simplify]: Simplify (- 0) into 0
14.490 * [backup-simplify]: Simplify (+ 0 0) into 0
14.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
14.498 * [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)))
14.513 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow 2 1/2)))) into (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))
14.544 * [backup-simplify]: Simplify (+ (* (sqrt (* PI 2)) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))))) +nan.0) (* (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) 0))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (* +nan.0 (* (sqrt 2) (sqrt PI))))))))
14.561 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (* +nan.0 (* (sqrt 2) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (* +nan.0 (* (sqrt 2) (sqrt PI))))))))
14.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.571 * [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
14.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
14.572 * [backup-simplify]: Simplify (- 0) into 0
14.573 * [backup-simplify]: Simplify (+ 0 0) into 0
14.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0
14.589 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2)))
14.594 * [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
14.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
14.595 * [backup-simplify]: Simplify (- 0) into 0
14.596 * [backup-simplify]: Simplify (+ 0 0) into 0
14.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
14.613 * [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)))
14.657 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/48 (* (pow (log 2) 3) (sqrt 2)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (pow 2 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI)))))))
14.742 * [backup-simplify]: Simplify (+ (* (sqrt (* PI 2)) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))))) +nan.0) (+ (* (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))))))) 0)))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))))))))))))
14.829 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))))))))))))
14.908 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (* +nan.0 (* (sqrt 2) (sqrt PI)))))))) k) (- (* +nan.0 (* (sqrt 2) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI))))))))))))))))))))))
14.908 * [backup-simplify]: Simplify (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (/ (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt (/ 1 k)))) into (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
14.908 * [approximate]: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k) around 0
14.908 * [taylor]: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
14.908 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k
14.908 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k
14.908 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k
14.908 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k
14.908 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.908 * [taylor]: Taking taylor expansion of 1/2 in k
14.908 * [backup-simplify]: Simplify 1/2 into 1/2
14.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.908 * [taylor]: Taking taylor expansion of 1/2 in k
14.908 * [backup-simplify]: Simplify 1/2 into 1/2
14.908 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.908 * [taylor]: Taking taylor expansion of k in k
14.908 * [backup-simplify]: Simplify 0 into 0
14.908 * [backup-simplify]: Simplify 1 into 1
14.909 * [backup-simplify]: Simplify (/ 1 1) into 1
14.909 * [taylor]: Taking taylor expansion of (log 2) in k
14.909 * [taylor]: Taking taylor expansion of 2 in k
14.909 * [backup-simplify]: Simplify 2 into 2
14.909 * [backup-simplify]: Simplify (log 2) into (log 2)
14.909 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.910 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.910 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.910 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2))
14.911 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))
14.911 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
14.911 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
14.911 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
14.911 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.911 * [taylor]: Taking taylor expansion of 1/2 in k
14.911 * [backup-simplify]: Simplify 1/2 into 1/2
14.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.911 * [taylor]: Taking taylor expansion of 1/2 in k
14.911 * [backup-simplify]: Simplify 1/2 into 1/2
14.911 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.911 * [taylor]: Taking taylor expansion of k in k
14.911 * [backup-simplify]: Simplify 0 into 0
14.911 * [backup-simplify]: Simplify 1 into 1
14.911 * [backup-simplify]: Simplify (/ 1 1) into 1
14.911 * [taylor]: Taking taylor expansion of (log PI) in k
14.911 * [taylor]: Taking taylor expansion of PI in k
14.911 * [backup-simplify]: Simplify PI into PI
14.911 * [backup-simplify]: Simplify (log PI) into (log PI)
14.912 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.912 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.912 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.913 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
14.913 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
14.913 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.913 * [taylor]: Taking taylor expansion of k in k
14.913 * [backup-simplify]: Simplify 0 into 0
14.913 * [backup-simplify]: Simplify 1 into 1
14.913 * [backup-simplify]: Simplify (sqrt 0) into 0
14.914 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.914 * [taylor]: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
14.914 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k
14.914 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k
14.915 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k
14.915 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k
14.915 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.915 * [taylor]: Taking taylor expansion of 1/2 in k
14.915 * [backup-simplify]: Simplify 1/2 into 1/2
14.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.915 * [taylor]: Taking taylor expansion of 1/2 in k
14.915 * [backup-simplify]: Simplify 1/2 into 1/2
14.915 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.915 * [taylor]: Taking taylor expansion of k in k
14.915 * [backup-simplify]: Simplify 0 into 0
14.915 * [backup-simplify]: Simplify 1 into 1
14.915 * [backup-simplify]: Simplify (/ 1 1) into 1
14.915 * [taylor]: Taking taylor expansion of (log 2) in k
14.915 * [taylor]: Taking taylor expansion of 2 in k
14.915 * [backup-simplify]: Simplify 2 into 2
14.915 * [backup-simplify]: Simplify (log 2) into (log 2)
14.915 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.916 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.916 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.921 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2))
14.921 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))
14.921 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
14.922 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
14.922 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
14.922 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.922 * [taylor]: Taking taylor expansion of 1/2 in k
14.922 * [backup-simplify]: Simplify 1/2 into 1/2
14.922 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.922 * [taylor]: Taking taylor expansion of 1/2 in k
14.922 * [backup-simplify]: Simplify 1/2 into 1/2
14.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.922 * [taylor]: Taking taylor expansion of k in k
14.922 * [backup-simplify]: Simplify 0 into 0
14.922 * [backup-simplify]: Simplify 1 into 1
14.922 * [backup-simplify]: Simplify (/ 1 1) into 1
14.922 * [taylor]: Taking taylor expansion of (log PI) in k
14.922 * [taylor]: Taking taylor expansion of PI in k
14.922 * [backup-simplify]: Simplify PI into PI
14.922 * [backup-simplify]: Simplify (log PI) into (log PI)
14.923 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.923 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.924 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.925 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
14.925 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
14.925 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.925 * [taylor]: Taking taylor expansion of k in k
14.925 * [backup-simplify]: Simplify 0 into 0
14.925 * [backup-simplify]: Simplify 1 into 1
14.926 * [backup-simplify]: Simplify (sqrt 0) into 0
14.927 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.928 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
14.928 * [backup-simplify]: Simplify (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
14.928 * [backup-simplify]: Simplify 0 into 0
14.929 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0
14.930 * [backup-simplify]: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
14.931 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
14.934 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.936 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
14.937 * [backup-simplify]: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
14.938 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
14.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.943 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
14.945 * [backup-simplify]: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
14.946 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))
14.949 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 3))))))))
14.949 * [backup-simplify]: Simplify (* (pow 2 (- 1/2 (* 1/2 (/ 1 (- k))))) (/ (pow PI (- 1/2 (* 1/2 (/ 1 (- k))))) (sqrt (/ 1 (- k))))) into (/ (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
14.949 * [approximate]: Taking taylor expansion of (/ (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k) around 0
14.949 * [taylor]: Taking taylor expansion of (/ (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
14.949 * [taylor]: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
14.949 * [taylor]: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k
14.949 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k
14.949 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k
14.949 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.949 * [taylor]: Taking taylor expansion of 1/2 in k
14.949 * [backup-simplify]: Simplify 1/2 into 1/2
14.949 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.949 * [taylor]: Taking taylor expansion of k in k
14.950 * [backup-simplify]: Simplify 0 into 0
14.950 * [backup-simplify]: Simplify 1 into 1
14.950 * [backup-simplify]: Simplify (/ 1 1) into 1
14.950 * [taylor]: Taking taylor expansion of 1/2 in k
14.950 * [backup-simplify]: Simplify 1/2 into 1/2
14.950 * [taylor]: Taking taylor expansion of (log 2) in k
14.950 * [taylor]: Taking taylor expansion of 2 in k
14.950 * [backup-simplify]: Simplify 2 into 2
14.951 * [backup-simplify]: Simplify (log 2) into (log 2)
14.951 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.951 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.952 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
14.953 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))
14.953 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
14.953 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
14.953 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
14.953 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.953 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.953 * [taylor]: Taking taylor expansion of 1/2 in k
14.953 * [backup-simplify]: Simplify 1/2 into 1/2
14.953 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.953 * [taylor]: Taking taylor expansion of k in k
14.953 * [backup-simplify]: Simplify 0 into 0
14.953 * [backup-simplify]: Simplify 1 into 1
14.954 * [backup-simplify]: Simplify (/ 1 1) into 1
14.954 * [taylor]: Taking taylor expansion of 1/2 in k
14.954 * [backup-simplify]: Simplify 1/2 into 1/2
14.954 * [taylor]: Taking taylor expansion of (log PI) in k
14.954 * [taylor]: Taking taylor expansion of PI in k
14.954 * [backup-simplify]: Simplify PI into PI
14.954 * [backup-simplify]: Simplify (log PI) into (log PI)
14.955 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.955 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.956 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
14.956 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
14.956 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
14.956 * [taylor]: Taking taylor expansion of (/ -1 k) in k
14.956 * [taylor]: Taking taylor expansion of -1 in k
14.957 * [backup-simplify]: Simplify -1 into -1
14.957 * [taylor]: Taking taylor expansion of k in k
14.957 * [backup-simplify]: Simplify 0 into 0
14.957 * [backup-simplify]: Simplify 1 into 1
14.957 * [backup-simplify]: Simplify (/ -1 1) into -1
14.957 * [backup-simplify]: Simplify (sqrt 0) into 0
14.958 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
14.959 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
14.960 * [backup-simplify]: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
14.960 * [taylor]: Taking taylor expansion of (/ (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
14.960 * [taylor]: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
14.960 * [taylor]: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k
14.960 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k
14.960 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k
14.960 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.960 * [taylor]: Taking taylor expansion of 1/2 in k
14.960 * [backup-simplify]: Simplify 1/2 into 1/2
14.960 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.960 * [taylor]: Taking taylor expansion of k in k
14.960 * [backup-simplify]: Simplify 0 into 0
14.960 * [backup-simplify]: Simplify 1 into 1
14.960 * [backup-simplify]: Simplify (/ 1 1) into 1
14.960 * [taylor]: Taking taylor expansion of 1/2 in k
14.960 * [backup-simplify]: Simplify 1/2 into 1/2
14.960 * [taylor]: Taking taylor expansion of (log 2) in k
14.961 * [taylor]: Taking taylor expansion of 2 in k
14.961 * [backup-simplify]: Simplify 2 into 2
14.961 * [backup-simplify]: Simplify (log 2) into (log 2)
14.961 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.962 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.963 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
14.963 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))
14.963 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
14.963 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
14.963 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
14.963 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.963 * [taylor]: Taking taylor expansion of 1/2 in k
14.963 * [backup-simplify]: Simplify 1/2 into 1/2
14.963 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.963 * [taylor]: Taking taylor expansion of k in k
14.963 * [backup-simplify]: Simplify 0 into 0
14.963 * [backup-simplify]: Simplify 1 into 1
14.964 * [backup-simplify]: Simplify (/ 1 1) into 1
14.964 * [taylor]: Taking taylor expansion of 1/2 in k
14.964 * [backup-simplify]: Simplify 1/2 into 1/2
14.964 * [taylor]: Taking taylor expansion of (log PI) in k
14.964 * [taylor]: Taking taylor expansion of PI in k
14.964 * [backup-simplify]: Simplify PI into PI
14.964 * [backup-simplify]: Simplify (log PI) into (log PI)
14.965 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.965 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.966 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
14.967 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
14.967 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
14.967 * [taylor]: Taking taylor expansion of (/ -1 k) in k
14.967 * [taylor]: Taking taylor expansion of -1 in k
14.967 * [backup-simplify]: Simplify -1 into -1
14.967 * [taylor]: Taking taylor expansion of k in k
14.967 * [backup-simplify]: Simplify 0 into 0
14.967 * [backup-simplify]: Simplify 1 into 1
14.967 * [backup-simplify]: Simplify (/ -1 1) into -1
14.968 * [backup-simplify]: Simplify (sqrt 0) into 0
14.969 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
14.969 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
14.970 * [backup-simplify]: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
14.971 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
14.971 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
14.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.975 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.976 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
14.977 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
14.978 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
14.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.985 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
14.986 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
14.988 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (/ 1 (- k))) (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))))))))
14.988 * * * * [progress]: [ 4 / 4 ] generating series at (2)
14.989 * [backup-simplify]: Simplify (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) into (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k)))
14.989 * [approximate]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in (n k) around 0
14.989 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in k
14.989 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k
14.989 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
14.989 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
14.989 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
14.989 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.989 * [taylor]: Taking taylor expansion of 1/2 in k
14.989 * [backup-simplify]: Simplify 1/2 into 1/2
14.989 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.989 * [taylor]: Taking taylor expansion of 1/2 in k
14.989 * [backup-simplify]: Simplify 1/2 into 1/2
14.989 * [taylor]: Taking taylor expansion of k in k
14.989 * [backup-simplify]: Simplify 0 into 0
14.989 * [backup-simplify]: Simplify 1 into 1
14.989 * [taylor]: Taking taylor expansion of (log n) in k
14.989 * [taylor]: Taking taylor expansion of n in k
14.989 * [backup-simplify]: Simplify n into n
14.989 * [backup-simplify]: Simplify (log n) into (log n)
14.989 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.990 * [backup-simplify]: Simplify (- 0) into 0
14.990 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.990 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
14.990 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
14.990 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
14.990 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k
14.990 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k
14.990 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k
14.991 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.991 * [taylor]: Taking taylor expansion of 1/2 in k
14.991 * [backup-simplify]: Simplify 1/2 into 1/2
14.991 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.991 * [taylor]: Taking taylor expansion of 1/2 in k
14.991 * [backup-simplify]: Simplify 1/2 into 1/2
14.991 * [taylor]: Taking taylor expansion of k in k
14.991 * [backup-simplify]: Simplify 0 into 0
14.991 * [backup-simplify]: Simplify 1 into 1
14.991 * [taylor]: Taking taylor expansion of (log 2) in k
14.991 * [taylor]: Taking taylor expansion of 2 in k
14.991 * [backup-simplify]: Simplify 2 into 2
14.991 * [backup-simplify]: Simplify (log 2) into (log 2)
14.991 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.992 * [backup-simplify]: Simplify (- 0) into 0
14.992 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.993 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
14.994 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2)
14.994 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
14.994 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
14.994 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
14.994 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.994 * [taylor]: Taking taylor expansion of 1/2 in k
14.995 * [backup-simplify]: Simplify 1/2 into 1/2
14.995 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.995 * [taylor]: Taking taylor expansion of 1/2 in k
14.995 * [backup-simplify]: Simplify 1/2 into 1/2
14.995 * [taylor]: Taking taylor expansion of k in k
14.995 * [backup-simplify]: Simplify 0 into 0
14.995 * [backup-simplify]: Simplify 1 into 1
14.995 * [taylor]: Taking taylor expansion of (log PI) in k
14.995 * [taylor]: Taking taylor expansion of PI in k
14.995 * [backup-simplify]: Simplify PI into PI
14.995 * [backup-simplify]: Simplify (log PI) into (log PI)
14.995 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.996 * [backup-simplify]: Simplify (- 0) into 0
14.996 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.997 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
14.998 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
14.998 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.998 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.998 * [taylor]: Taking taylor expansion of k in k
14.999 * [backup-simplify]: Simplify 0 into 0
14.999 * [backup-simplify]: Simplify 1 into 1
14.999 * [backup-simplify]: Simplify (/ 1 1) into 1
14.999 * [backup-simplify]: Simplify (sqrt 0) into 0
15.000 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.000 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in n
15.000 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n
15.000 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
15.000 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
15.000 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
15.000 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
15.000 * [taylor]: Taking taylor expansion of 1/2 in n
15.000 * [backup-simplify]: Simplify 1/2 into 1/2
15.000 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
15.000 * [taylor]: Taking taylor expansion of 1/2 in n
15.000 * [backup-simplify]: Simplify 1/2 into 1/2
15.000 * [taylor]: Taking taylor expansion of k in n
15.000 * [backup-simplify]: Simplify k into k
15.000 * [taylor]: Taking taylor expansion of (log n) in n
15.000 * [taylor]: Taking taylor expansion of n in n
15.000 * [backup-simplify]: Simplify 0 into 0
15.000 * [backup-simplify]: Simplify 1 into 1
15.000 * [backup-simplify]: Simplify (log 1) into 0
15.000 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
15.000 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
15.000 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
15.001 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
15.001 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
15.001 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
15.001 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
15.001 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n
15.001 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n
15.001 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n
15.001 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
15.001 * [taylor]: Taking taylor expansion of 1/2 in n
15.001 * [backup-simplify]: Simplify 1/2 into 1/2
15.001 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
15.001 * [taylor]: Taking taylor expansion of 1/2 in n
15.001 * [backup-simplify]: Simplify 1/2 into 1/2
15.001 * [taylor]: Taking taylor expansion of k in n
15.001 * [backup-simplify]: Simplify k into k
15.001 * [taylor]: Taking taylor expansion of (log 2) in n
15.001 * [taylor]: Taking taylor expansion of 2 in n
15.001 * [backup-simplify]: Simplify 2 into 2
15.001 * [backup-simplify]: Simplify (log 2) into (log 2)
15.001 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
15.001 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
15.002 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
15.002 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k)))
15.002 * [backup-simplify]: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k))))
15.002 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
15.002 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
15.002 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
15.002 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
15.002 * [taylor]: Taking taylor expansion of 1/2 in n
15.002 * [backup-simplify]: Simplify 1/2 into 1/2
15.002 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
15.002 * [taylor]: Taking taylor expansion of 1/2 in n
15.002 * [backup-simplify]: Simplify 1/2 into 1/2
15.002 * [taylor]: Taking taylor expansion of k in n
15.002 * [backup-simplify]: Simplify k into k
15.002 * [taylor]: Taking taylor expansion of (log PI) in n
15.002 * [taylor]: Taking taylor expansion of PI in n
15.002 * [backup-simplify]: Simplify PI into PI
15.003 * [backup-simplify]: Simplify (log PI) into (log PI)
15.003 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
15.003 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
15.003 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
15.003 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
15.003 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
15.003 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
15.003 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.003 * [taylor]: Taking taylor expansion of k in n
15.003 * [backup-simplify]: Simplify k into k
15.003 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.004 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
15.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
15.004 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in n
15.004 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n
15.004 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
15.004 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
15.004 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
15.004 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
15.004 * [taylor]: Taking taylor expansion of 1/2 in n
15.004 * [backup-simplify]: Simplify 1/2 into 1/2
15.004 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
15.004 * [taylor]: Taking taylor expansion of 1/2 in n
15.004 * [backup-simplify]: Simplify 1/2 into 1/2
15.004 * [taylor]: Taking taylor expansion of k in n
15.004 * [backup-simplify]: Simplify k into k
15.004 * [taylor]: Taking taylor expansion of (log n) in n
15.004 * [taylor]: Taking taylor expansion of n in n
15.004 * [backup-simplify]: Simplify 0 into 0
15.004 * [backup-simplify]: Simplify 1 into 1
15.004 * [backup-simplify]: Simplify (log 1) into 0
15.004 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
15.004 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
15.004 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
15.005 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
15.005 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
15.005 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
15.005 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
15.005 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n
15.005 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n
15.005 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n
15.005 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
15.005 * [taylor]: Taking taylor expansion of 1/2 in n
15.005 * [backup-simplify]: Simplify 1/2 into 1/2
15.005 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
15.005 * [taylor]: Taking taylor expansion of 1/2 in n
15.005 * [backup-simplify]: Simplify 1/2 into 1/2
15.005 * [taylor]: Taking taylor expansion of k in n
15.005 * [backup-simplify]: Simplify k into k
15.005 * [taylor]: Taking taylor expansion of (log 2) in n
15.005 * [taylor]: Taking taylor expansion of 2 in n
15.005 * [backup-simplify]: Simplify 2 into 2
15.005 * [backup-simplify]: Simplify (log 2) into (log 2)
15.005 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
15.005 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
15.005 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
15.006 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k)))
15.006 * [backup-simplify]: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k))))
15.006 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
15.006 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
15.006 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
15.006 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
15.006 * [taylor]: Taking taylor expansion of 1/2 in n
15.006 * [backup-simplify]: Simplify 1/2 into 1/2
15.006 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
15.006 * [taylor]: Taking taylor expansion of 1/2 in n
15.006 * [backup-simplify]: Simplify 1/2 into 1/2
15.006 * [taylor]: Taking taylor expansion of k in n
15.006 * [backup-simplify]: Simplify k into k
15.006 * [taylor]: Taking taylor expansion of (log PI) in n
15.006 * [taylor]: Taking taylor expansion of PI in n
15.006 * [backup-simplify]: Simplify PI into PI
15.006 * [backup-simplify]: Simplify (log PI) into (log PI)
15.006 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
15.007 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
15.007 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
15.007 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
15.007 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
15.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
15.007 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.007 * [taylor]: Taking taylor expansion of k in n
15.007 * [backup-simplify]: Simplify k into k
15.007 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.007 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
15.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
15.008 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
15.008 * [backup-simplify]: Simplify (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) into (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))
15.009 * [backup-simplify]: Simplify (* (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) into (* (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k)))
15.009 * [taylor]: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in k
15.009 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) in k
15.009 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
15.009 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
15.009 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
15.009 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
15.009 * [taylor]: Taking taylor expansion of 1/2 in k
15.009 * [backup-simplify]: Simplify 1/2 into 1/2
15.009 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
15.009 * [taylor]: Taking taylor expansion of 1/2 in k
15.009 * [backup-simplify]: Simplify 1/2 into 1/2
15.009 * [taylor]: Taking taylor expansion of k in k
15.009 * [backup-simplify]: Simplify 0 into 0
15.009 * [backup-simplify]: Simplify 1 into 1
15.009 * [taylor]: Taking taylor expansion of (log n) in k
15.009 * [taylor]: Taking taylor expansion of n in k
15.009 * [backup-simplify]: Simplify n into n
15.009 * [backup-simplify]: Simplify (log n) into (log n)
15.009 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.010 * [backup-simplify]: Simplify (- 0) into 0
15.010 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.010 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
15.010 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
15.010 * [taylor]: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) in k
15.010 * [taylor]: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 k)))) in k
15.010 * [taylor]: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 k))) in k
15.010 * [taylor]: Taking taylor expansion of (log 2) in k
15.010 * [taylor]: Taking taylor expansion of 2 in k
15.010 * [backup-simplify]: Simplify 2 into 2
15.010 * [backup-simplify]: Simplify (log 2) into (log 2)
15.010 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
15.010 * [taylor]: Taking taylor expansion of 1/2 in k
15.010 * [backup-simplify]: Simplify 1/2 into 1/2
15.010 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
15.010 * [taylor]: Taking taylor expansion of 1/2 in k
15.010 * [backup-simplify]: Simplify 1/2 into 1/2
15.011 * [taylor]: Taking taylor expansion of k in k
15.011 * [backup-simplify]: Simplify 0 into 0
15.011 * [backup-simplify]: Simplify 1 into 1
15.011 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.011 * [backup-simplify]: Simplify (- 0) into 0
15.011 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.012 * [backup-simplify]: Simplify (* (log 2) 1/2) into (* 1/2 (log 2))
15.013 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2)
15.013 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
15.013 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
15.013 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
15.013 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
15.013 * [taylor]: Taking taylor expansion of 1/2 in k
15.013 * [backup-simplify]: Simplify 1/2 into 1/2
15.013 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
15.013 * [taylor]: Taking taylor expansion of 1/2 in k
15.013 * [backup-simplify]: Simplify 1/2 into 1/2
15.013 * [taylor]: Taking taylor expansion of k in k
15.013 * [backup-simplify]: Simplify 0 into 0
15.013 * [backup-simplify]: Simplify 1 into 1
15.013 * [taylor]: Taking taylor expansion of (log PI) in k
15.013 * [taylor]: Taking taylor expansion of PI in k
15.013 * [backup-simplify]: Simplify PI into PI
15.013 * [backup-simplify]: Simplify (log PI) into (log PI)
15.013 * [backup-simplify]: Simplify (* 1/2 0) into 0
15.014 * [backup-simplify]: Simplify (- 0) into 0
15.014 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.015 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
15.016 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
15.016 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
15.016 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.016 * [taylor]: Taking taylor expansion of k in k
15.016 * [backup-simplify]: Simplify 0 into 0
15.016 * [backup-simplify]: Simplify 1 into 1
15.016 * [backup-simplify]: Simplify (/ 1 1) into 1
15.016 * [backup-simplify]: Simplify (sqrt 0) into 0
15.017 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.018 * [backup-simplify]: Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2))
15.019 * [backup-simplify]: Simplify (* (pow n 1/2) (sqrt (* PI 2))) into (* (sqrt 2) (sqrt (* n PI)))
15.019 * [backup-simplify]: Simplify (* (* (sqrt 2) (sqrt (* n PI))) 0) into 0
15.019 * [backup-simplify]: Simplify 0 into 0
15.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
15.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
15.020 * [backup-simplify]: Simplify (- 0) into 0
15.021 * [backup-simplify]: Simplify (+ 0 0) into 0
15.021 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
15.022 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
15.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
15.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
15.023 * [backup-simplify]: Simplify (- 0) into 0
15.024 * [backup-simplify]: Simplify (+ 0 0) into 0
15.024 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log 2))) into 0
15.025 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.025 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0
15.026 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
15.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
15.027 * [backup-simplify]: Simplify (- 0) into 0
15.027 * [backup-simplify]: Simplify (+ 0 0) into 0
15.028 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
15.028 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0
15.029 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
15.030 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) into 0
15.031 * [backup-simplify]: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
15.031 * [taylor]: Taking taylor expansion of 0 in k
15.031 * [backup-simplify]: Simplify 0 into 0
15.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
15.033 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.034 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.034 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
15.051 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
15.051 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.051 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.052 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
15.054 * [backup-simplify]: Simplify (+ (* (log 2) -1/2) (* 0 1/2)) into (- (* 1/2 (log 2)))
15.059 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2)))
15.065 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (log 2) (sqrt 2))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))
15.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
15.066 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
15.066 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.066 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n)))
15.067 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
15.075 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* -1/2 (* (sqrt n) (log n))) (sqrt (* PI 2)))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))
15.077 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
15.078 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
15.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.078 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
15.081 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
15.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
15.082 * [backup-simplify]: Simplify (- 0) into 0
15.083 * [backup-simplify]: Simplify (+ 0 0) into 0
15.084 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
15.085 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.088 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
15.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
15.089 * [backup-simplify]: Simplify (- 0) into 0
15.089 * [backup-simplify]: Simplify (+ 0 0) into 0
15.090 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0
15.092 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.093 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0
15.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
15.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
15.096 * [backup-simplify]: Simplify (- 0) into 0
15.097 * [backup-simplify]: Simplify (+ 0 0) into 0
15.097 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
15.098 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
15.099 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.100 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))))) into 0
15.101 * [backup-simplify]: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
15.101 * [taylor]: Taking taylor expansion of 0 in k
15.101 * [backup-simplify]: Simplify 0 into 0
15.101 * [backup-simplify]: Simplify 0 into 0
15.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.105 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
15.108 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
15.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
15.109 * [backup-simplify]: Simplify (- 0) into 0
15.109 * [backup-simplify]: Simplify (+ 0 0) into 0
15.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
15.121 * [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)))
15.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
15.122 * [backup-simplify]: Simplify (- 0) into 0
15.122 * [backup-simplify]: Simplify (+ 0 0) into 0
15.125 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
15.126 * [backup-simplify]: Simplify (+ (* (log 2) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
15.135 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2)))
15.158 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))
15.166 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
15.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
15.168 * [backup-simplify]: Simplify (- 0) into 0
15.168 * [backup-simplify]: Simplify (+ 0 0) into 0
15.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0
15.170 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
15.203 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (sqrt (* PI 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))))))))
15.217 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 0))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))))))
15.220 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))))))
15.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
15.224 * [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
15.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
15.225 * [backup-simplify]: Simplify (- 0) into 0
15.225 * [backup-simplify]: Simplify (+ 0 0) into 0
15.226 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
15.227 * [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
15.230 * [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
15.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
15.231 * [backup-simplify]: Simplify (- 0) into 0
15.231 * [backup-simplify]: Simplify (+ 0 0) into 0
15.232 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0
15.233 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.234 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))))) into 0
15.236 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
15.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
15.237 * [backup-simplify]: Simplify (- 0) into 0
15.238 * [backup-simplify]: Simplify (+ 0 0) into 0
15.238 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
15.238 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0
15.239 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.240 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))))) into 0
15.241 * [backup-simplify]: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
15.241 * [taylor]: Taking taylor expansion of 0 in k
15.241 * [backup-simplify]: Simplify 0 into 0
15.241 * [backup-simplify]: Simplify 0 into 0
15.242 * [backup-simplify]: Simplify 0 into 0
15.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.251 * [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
15.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
15.253 * [backup-simplify]: Simplify (- 0) into 0
15.253 * [backup-simplify]: Simplify (+ 0 0) into 0
15.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
15.271 * [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)))
15.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
15.272 * [backup-simplify]: Simplify (- 0) into 0
15.273 * [backup-simplify]: Simplify (+ 0 0) into 0
15.278 * [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
15.287 * [backup-simplify]: Simplify (+ (* (log 2) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0
15.303 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2)))
15.336 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI)))))))
15.338 * [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
15.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
15.339 * [backup-simplify]: Simplify (- 0) into 0
15.339 * [backup-simplify]: Simplify (+ 0 0) into 0
15.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0
15.341 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3)))
15.434 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI)))))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (sqrt (* PI 2)))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n))))))))))))))
15.461 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))))))
15.478 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))))))
15.507 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) (* k 1)) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt (* n PI)))))))))))))))))))))))))))))))))
15.508 * [backup-simplify]: Simplify (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (/ (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt (/ 1 k))))) into (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k))
15.508 * [approximate]: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in (n k) around 0
15.508 * [taylor]: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in k
15.508 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k
15.508 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k
15.508 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k
15.508 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k
15.508 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
15.508 * [taylor]: Taking taylor expansion of 1/2 in k
15.509 * [backup-simplify]: Simplify 1/2 into 1/2
15.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.509 * [taylor]: Taking taylor expansion of 1/2 in k
15.509 * [backup-simplify]: Simplify 1/2 into 1/2
15.509 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.509 * [taylor]: Taking taylor expansion of k in k
15.509 * [backup-simplify]: Simplify 0 into 0
15.509 * [backup-simplify]: Simplify 1 into 1
15.509 * [backup-simplify]: Simplify (/ 1 1) into 1
15.509 * [taylor]: Taking taylor expansion of (log 2) in k
15.509 * [taylor]: Taking taylor expansion of 2 in k
15.509 * [backup-simplify]: Simplify 2 into 2
15.510 * [backup-simplify]: Simplify (log 2) into (log 2)
15.510 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.511 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.511 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.512 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2))
15.513 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))
15.513 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
15.513 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
15.513 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
15.513 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
15.513 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
15.513 * [taylor]: Taking taylor expansion of 1/2 in k
15.513 * [backup-simplify]: Simplify 1/2 into 1/2
15.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.513 * [taylor]: Taking taylor expansion of 1/2 in k
15.513 * [backup-simplify]: Simplify 1/2 into 1/2
15.513 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.513 * [taylor]: Taking taylor expansion of k in k
15.513 * [backup-simplify]: Simplify 0 into 0
15.513 * [backup-simplify]: Simplify 1 into 1
15.514 * [backup-simplify]: Simplify (/ 1 1) into 1
15.514 * [taylor]: Taking taylor expansion of (log PI) in k
15.514 * [taylor]: Taking taylor expansion of PI in k
15.514 * [backup-simplify]: Simplify PI into PI
15.514 * [backup-simplify]: Simplify (log PI) into (log PI)
15.515 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.515 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.516 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.517 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
15.517 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
15.517 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
15.517 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k
15.517 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k
15.517 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
15.518 * [taylor]: Taking taylor expansion of 1/2 in k
15.518 * [backup-simplify]: Simplify 1/2 into 1/2
15.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.518 * [taylor]: Taking taylor expansion of 1/2 in k
15.518 * [backup-simplify]: Simplify 1/2 into 1/2
15.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.518 * [taylor]: Taking taylor expansion of k in k
15.518 * [backup-simplify]: Simplify 0 into 0
15.518 * [backup-simplify]: Simplify 1 into 1
15.518 * [backup-simplify]: Simplify (/ 1 1) into 1
15.518 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
15.518 * [taylor]: Taking taylor expansion of (/ 1 n) in k
15.518 * [taylor]: Taking taylor expansion of n in k
15.518 * [backup-simplify]: Simplify n into n
15.518 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
15.518 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
15.519 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.519 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.520 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.520 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
15.520 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
15.520 * [taylor]: Taking taylor expansion of (sqrt k) in k
15.520 * [taylor]: Taking taylor expansion of k in k
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [backup-simplify]: Simplify 1 into 1
15.521 * [backup-simplify]: Simplify (sqrt 0) into 0
15.522 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.522 * [taylor]: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in n
15.522 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
15.522 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n
15.522 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n
15.522 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n
15.522 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
15.522 * [taylor]: Taking taylor expansion of 1/2 in n
15.522 * [backup-simplify]: Simplify 1/2 into 1/2
15.522 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.522 * [taylor]: Taking taylor expansion of 1/2 in n
15.522 * [backup-simplify]: Simplify 1/2 into 1/2
15.522 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.523 * [taylor]: Taking taylor expansion of k in n
15.523 * [backup-simplify]: Simplify k into k
15.523 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.523 * [taylor]: Taking taylor expansion of (log 2) in n
15.523 * [taylor]: Taking taylor expansion of 2 in n
15.523 * [backup-simplify]: Simplify 2 into 2
15.528 * [backup-simplify]: Simplify (log 2) into (log 2)
15.528 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.528 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
15.529 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
15.530 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))
15.530 * [backup-simplify]: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))
15.530 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
15.530 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
15.530 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
15.530 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
15.530 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
15.530 * [taylor]: Taking taylor expansion of 1/2 in n
15.530 * [backup-simplify]: Simplify 1/2 into 1/2
15.530 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.530 * [taylor]: Taking taylor expansion of 1/2 in n
15.530 * [backup-simplify]: Simplify 1/2 into 1/2
15.530 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.530 * [taylor]: Taking taylor expansion of k in n
15.530 * [backup-simplify]: Simplify k into k
15.530 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.530 * [taylor]: Taking taylor expansion of (log PI) in n
15.530 * [taylor]: Taking taylor expansion of PI in n
15.530 * [backup-simplify]: Simplify PI into PI
15.531 * [backup-simplify]: Simplify (log PI) into (log PI)
15.531 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.531 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
15.531 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
15.531 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
15.532 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
15.532 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
15.532 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
15.532 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
15.532 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
15.532 * [taylor]: Taking taylor expansion of 1/2 in n
15.532 * [backup-simplify]: Simplify 1/2 into 1/2
15.532 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.532 * [taylor]: Taking taylor expansion of 1/2 in n
15.532 * [backup-simplify]: Simplify 1/2 into 1/2
15.532 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.532 * [taylor]: Taking taylor expansion of k in n
15.532 * [backup-simplify]: Simplify k into k
15.532 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.532 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
15.532 * [taylor]: Taking taylor expansion of (/ 1 n) in n
15.532 * [taylor]: Taking taylor expansion of n in n
15.532 * [backup-simplify]: Simplify 0 into 0
15.532 * [backup-simplify]: Simplify 1 into 1
15.532 * [backup-simplify]: Simplify (/ 1 1) into 1
15.533 * [backup-simplify]: Simplify (log 1) into 0
15.533 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.533 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
15.533 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
15.533 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
15.533 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
15.533 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
15.534 * [taylor]: Taking taylor expansion of (sqrt k) in n
15.534 * [taylor]: Taking taylor expansion of k in n
15.534 * [backup-simplify]: Simplify k into k
15.534 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
15.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
15.534 * [taylor]: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in n
15.534 * [taylor]: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
15.534 * [taylor]: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n
15.534 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n
15.534 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n
15.534 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
15.534 * [taylor]: Taking taylor expansion of 1/2 in n
15.534 * [backup-simplify]: Simplify 1/2 into 1/2
15.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.534 * [taylor]: Taking taylor expansion of 1/2 in n
15.534 * [backup-simplify]: Simplify 1/2 into 1/2
15.534 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.534 * [taylor]: Taking taylor expansion of k in n
15.534 * [backup-simplify]: Simplify k into k
15.534 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.534 * [taylor]: Taking taylor expansion of (log 2) in n
15.534 * [taylor]: Taking taylor expansion of 2 in n
15.534 * [backup-simplify]: Simplify 2 into 2
15.534 * [backup-simplify]: Simplify (log 2) into (log 2)
15.534 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.534 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
15.534 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
15.535 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))
15.535 * [backup-simplify]: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))
15.535 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
15.535 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
15.535 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
15.535 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
15.535 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
15.536 * [taylor]: Taking taylor expansion of 1/2 in n
15.536 * [backup-simplify]: Simplify 1/2 into 1/2
15.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.536 * [taylor]: Taking taylor expansion of 1/2 in n
15.536 * [backup-simplify]: Simplify 1/2 into 1/2
15.536 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.536 * [taylor]: Taking taylor expansion of k in n
15.536 * [backup-simplify]: Simplify k into k
15.536 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.536 * [taylor]: Taking taylor expansion of (log PI) in n
15.536 * [taylor]: Taking taylor expansion of PI in n
15.536 * [backup-simplify]: Simplify PI into PI
15.536 * [backup-simplify]: Simplify (log PI) into (log PI)
15.536 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.536 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
15.536 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
15.537 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
15.537 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
15.537 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
15.537 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
15.537 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
15.537 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
15.537 * [taylor]: Taking taylor expansion of 1/2 in n
15.537 * [backup-simplify]: Simplify 1/2 into 1/2
15.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.537 * [taylor]: Taking taylor expansion of 1/2 in n
15.537 * [backup-simplify]: Simplify 1/2 into 1/2
15.537 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.537 * [taylor]: Taking taylor expansion of k in n
15.537 * [backup-simplify]: Simplify k into k
15.537 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.537 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
15.537 * [taylor]: Taking taylor expansion of (/ 1 n) in n
15.537 * [taylor]: Taking taylor expansion of n in n
15.537 * [backup-simplify]: Simplify 0 into 0
15.537 * [backup-simplify]: Simplify 1 into 1
15.538 * [backup-simplify]: Simplify (/ 1 1) into 1
15.538 * [backup-simplify]: Simplify (log 1) into 0
15.538 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.538 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
15.538 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
15.538 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
15.538 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
15.539 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
15.539 * [taylor]: Taking taylor expansion of (sqrt k) in n
15.539 * [taylor]: Taking taylor expansion of k in n
15.539 * [backup-simplify]: Simplify k into k
15.539 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
15.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
15.539 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
15.539 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
15.540 * [backup-simplify]: Simplify (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) into (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k))
15.540 * [taylor]: Taking taylor expansion of (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in k
15.540 * [taylor]: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in k
15.540 * [taylor]: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k
15.540 * [taylor]: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k
15.540 * [taylor]: Taking taylor expansion of -1 in k
15.540 * [backup-simplify]: Simplify -1 into -1
15.540 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k
15.540 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
15.540 * [taylor]: Taking taylor expansion of 1/2 in k
15.540 * [backup-simplify]: Simplify 1/2 into 1/2
15.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.540 * [taylor]: Taking taylor expansion of 1/2 in k
15.540 * [backup-simplify]: Simplify 1/2 into 1/2
15.540 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.540 * [taylor]: Taking taylor expansion of k in k
15.540 * [backup-simplify]: Simplify 0 into 0
15.540 * [backup-simplify]: Simplify 1 into 1
15.541 * [backup-simplify]: Simplify (/ 1 1) into 1
15.541 * [taylor]: Taking taylor expansion of (log n) in k
15.541 * [taylor]: Taking taylor expansion of n in k
15.541 * [backup-simplify]: Simplify n into n
15.541 * [backup-simplify]: Simplify (log n) into (log n)
15.541 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.541 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.541 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.542 * [backup-simplify]: Simplify (* -1/2 (log n)) into (* -1/2 (log n))
15.542 * [backup-simplify]: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n))
15.542 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
15.542 * [taylor]: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k
15.542 * [taylor]: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in k
15.542 * [taylor]: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in k
15.542 * [taylor]: Taking taylor expansion of (log 2) in k
15.542 * [taylor]: Taking taylor expansion of 2 in k
15.542 * [backup-simplify]: Simplify 2 into 2
15.542 * [backup-simplify]: Simplify (log 2) into (log 2)
15.542 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
15.542 * [taylor]: Taking taylor expansion of 1/2 in k
15.542 * [backup-simplify]: Simplify 1/2 into 1/2
15.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.542 * [taylor]: Taking taylor expansion of 1/2 in k
15.542 * [backup-simplify]: Simplify 1/2 into 1/2
15.542 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.542 * [taylor]: Taking taylor expansion of k in k
15.542 * [backup-simplify]: Simplify 0 into 0
15.542 * [backup-simplify]: Simplify 1 into 1
15.543 * [backup-simplify]: Simplify (/ 1 1) into 1
15.543 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.543 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.543 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.544 * [backup-simplify]: Simplify (* (log 2) -1/2) into (* -1/2 (log 2))
15.544 * [backup-simplify]: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))
15.544 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
15.544 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
15.544 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
15.544 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
15.544 * [taylor]: Taking taylor expansion of 1/2 in k
15.544 * [backup-simplify]: Simplify 1/2 into 1/2
15.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.544 * [taylor]: Taking taylor expansion of 1/2 in k
15.544 * [backup-simplify]: Simplify 1/2 into 1/2
15.544 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.544 * [taylor]: Taking taylor expansion of k in k
15.544 * [backup-simplify]: Simplify 0 into 0
15.544 * [backup-simplify]: Simplify 1 into 1
15.545 * [backup-simplify]: Simplify (/ 1 1) into 1
15.545 * [taylor]: Taking taylor expansion of (log PI) in k
15.545 * [taylor]: Taking taylor expansion of PI in k
15.545 * [backup-simplify]: Simplify PI into PI
15.545 * [backup-simplify]: Simplify (log PI) into (log PI)
15.545 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.546 * [backup-simplify]: Simplify (- 1/2) into -1/2
15.546 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
15.546 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
15.547 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
15.547 * [taylor]: Taking taylor expansion of (sqrt k) in k
15.547 * [taylor]: Taking taylor expansion of k in k
15.547 * [backup-simplify]: Simplify 0 into 0
15.547 * [backup-simplify]: Simplify 1 into 1
15.547 * [backup-simplify]: Simplify (sqrt 0) into 0
15.548 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.548 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
15.549 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
15.549 * [backup-simplify]: Simplify (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0
15.549 * [backup-simplify]: Simplify 0 into 0
15.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
15.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
15.551 * [backup-simplify]: Simplify (- 0) into 0
15.551 * [backup-simplify]: Simplify (+ 0 0) into 0
15.552 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
15.552 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
15.552 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.553 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
15.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
15.554 * [backup-simplify]: Simplify (- 0) into 0
15.554 * [backup-simplify]: Simplify (+ 0 0) into 0
15.555 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
15.555 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
15.556 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0
15.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
15.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
15.557 * [backup-simplify]: Simplify (- 0) into 0
15.557 * [backup-simplify]: Simplify (+ 0 0) into 0
15.558 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log 2))) into 0
15.558 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.559 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
15.559 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 0) (* 0 (sqrt k))) into 0
15.560 * [taylor]: Taking taylor expansion of 0 in k
15.560 * [backup-simplify]: Simplify 0 into 0
15.560 * [backup-simplify]: Simplify 0 into 0
15.560 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0
15.561 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
15.561 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))
15.562 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))
15.562 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
15.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.566 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
15.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
15.568 * [backup-simplify]: Simplify (- 0) into 0
15.568 * [backup-simplify]: Simplify (+ 0 0) into 0
15.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
15.569 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
15.571 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.574 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
15.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
15.576 * [backup-simplify]: Simplify (- 0) into 0
15.576 * [backup-simplify]: Simplify (+ 0 0) into 0
15.577 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
15.580 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.581 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0
15.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
15.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
15.585 * [backup-simplify]: Simplify (- 0) into 0
15.585 * [backup-simplify]: Simplify (+ 0 0) into 0
15.586 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log 2)))) into 0
15.588 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.589 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
15.591 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
15.591 * [taylor]: Taking taylor expansion of 0 in k
15.591 * [backup-simplify]: Simplify 0 into 0
15.591 * [backup-simplify]: Simplify 0 into 0
15.591 * [backup-simplify]: Simplify 0 into 0
15.594 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
15.595 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
15.597 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
15.598 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))
15.599 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))
15.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
15.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.606 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
15.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
15.608 * [backup-simplify]: Simplify (- 0) into 0
15.609 * [backup-simplify]: Simplify (+ 0 0) into 0
15.609 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
15.610 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
15.612 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.618 * [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
15.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
15.620 * [backup-simplify]: Simplify (- 0) into 0
15.620 * [backup-simplify]: Simplify (+ 0 0) into 0
15.621 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
15.624 * [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
15.625 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))))) into 0
15.631 * [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
15.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
15.633 * [backup-simplify]: Simplify (- 0) into 0
15.633 * [backup-simplify]: Simplify (+ 0 0) into 0
15.635 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0
15.637 * [backup-simplify]: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.639 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) into 0
15.640 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
15.640 * [taylor]: Taking taylor expansion of 0 in k
15.640 * [backup-simplify]: Simplify 0 into 0
15.640 * [backup-simplify]: Simplify 0 into 0
15.640 * [backup-simplify]: Simplify 0 into 0
15.641 * [backup-simplify]: Simplify 0 into 0
15.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.646 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
15.648 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) into 0
15.650 * [backup-simplify]: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))
15.651 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))
15.655 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))))))))
15.655 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (- 1/2 (* 1/2 (/ 1 (- k))))) (* (pow 2 (- 1/2 (* 1/2 (/ 1 (- k))))) (/ (pow PI (- 1/2 (* 1/2 (/ 1 (- k))))) (sqrt (/ 1 (- k)))))) into (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k)))
15.655 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in (n k) around 0
15.655 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k
15.655 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k
15.656 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
15.656 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k
15.656 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k
15.656 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
15.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.656 * [taylor]: Taking taylor expansion of 1/2 in k
15.656 * [backup-simplify]: Simplify 1/2 into 1/2
15.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.656 * [taylor]: Taking taylor expansion of k in k
15.656 * [backup-simplify]: Simplify 0 into 0
15.656 * [backup-simplify]: Simplify 1 into 1
15.656 * [backup-simplify]: Simplify (/ 1 1) into 1
15.656 * [taylor]: Taking taylor expansion of 1/2 in k
15.656 * [backup-simplify]: Simplify 1/2 into 1/2
15.656 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
15.656 * [taylor]: Taking taylor expansion of (/ -1 n) in k
15.656 * [taylor]: Taking taylor expansion of -1 in k
15.656 * [backup-simplify]: Simplify -1 into -1
15.656 * [taylor]: Taking taylor expansion of n in k
15.656 * [backup-simplify]: Simplify n into n
15.657 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
15.657 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
15.657 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.658 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.658 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
15.658 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
15.658 * [taylor]: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
15.658 * [taylor]: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k
15.658 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k
15.658 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k
15.658 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
15.658 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.658 * [taylor]: Taking taylor expansion of 1/2 in k
15.658 * [backup-simplify]: Simplify 1/2 into 1/2
15.658 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.658 * [taylor]: Taking taylor expansion of k in k
15.658 * [backup-simplify]: Simplify 0 into 0
15.658 * [backup-simplify]: Simplify 1 into 1
15.659 * [backup-simplify]: Simplify (/ 1 1) into 1
15.659 * [taylor]: Taking taylor expansion of 1/2 in k
15.659 * [backup-simplify]: Simplify 1/2 into 1/2
15.659 * [taylor]: Taking taylor expansion of (log 2) in k
15.659 * [taylor]: Taking taylor expansion of 2 in k
15.659 * [backup-simplify]: Simplify 2 into 2
15.659 * [backup-simplify]: Simplify (log 2) into (log 2)
15.665 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.666 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.667 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
15.668 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))
15.668 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
15.668 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
15.668 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
15.668 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
15.668 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.668 * [taylor]: Taking taylor expansion of 1/2 in k
15.668 * [backup-simplify]: Simplify 1/2 into 1/2
15.668 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.668 * [taylor]: Taking taylor expansion of k in k
15.668 * [backup-simplify]: Simplify 0 into 0
15.668 * [backup-simplify]: Simplify 1 into 1
15.669 * [backup-simplify]: Simplify (/ 1 1) into 1
15.669 * [taylor]: Taking taylor expansion of 1/2 in k
15.669 * [backup-simplify]: Simplify 1/2 into 1/2
15.669 * [taylor]: Taking taylor expansion of (log PI) in k
15.669 * [taylor]: Taking taylor expansion of PI in k
15.669 * [backup-simplify]: Simplify PI into PI
15.669 * [backup-simplify]: Simplify (log PI) into (log PI)
15.670 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.670 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.671 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
15.672 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
15.672 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
15.672 * [taylor]: Taking taylor expansion of (/ -1 k) in k
15.672 * [taylor]: Taking taylor expansion of -1 in k
15.672 * [backup-simplify]: Simplify -1 into -1
15.672 * [taylor]: Taking taylor expansion of k in k
15.672 * [backup-simplify]: Simplify 0 into 0
15.672 * [backup-simplify]: Simplify 1 into 1
15.672 * [backup-simplify]: Simplify (/ -1 1) into -1
15.673 * [backup-simplify]: Simplify (sqrt 0) into 0
15.674 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
15.675 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
15.676 * [backup-simplify]: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
15.676 * [backup-simplify]: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
15.676 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in n
15.677 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
15.677 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
15.677 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
15.677 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
15.677 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
15.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.677 * [taylor]: Taking taylor expansion of 1/2 in n
15.677 * [backup-simplify]: Simplify 1/2 into 1/2
15.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.677 * [taylor]: Taking taylor expansion of k in n
15.677 * [backup-simplify]: Simplify k into k
15.677 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.677 * [taylor]: Taking taylor expansion of 1/2 in n
15.677 * [backup-simplify]: Simplify 1/2 into 1/2
15.677 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
15.677 * [taylor]: Taking taylor expansion of (/ -1 n) in n
15.677 * [taylor]: Taking taylor expansion of -1 in n
15.677 * [backup-simplify]: Simplify -1 into -1
15.677 * [taylor]: Taking taylor expansion of n in n
15.677 * [backup-simplify]: Simplify 0 into 0
15.677 * [backup-simplify]: Simplify 1 into 1
15.678 * [backup-simplify]: Simplify (/ -1 1) into -1
15.678 * [backup-simplify]: Simplify (log -1) into (log -1)
15.678 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.678 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
15.679 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
15.679 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
15.680 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
15.680 * [taylor]: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
15.680 * [taylor]: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n
15.680 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n
15.680 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n
15.680 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
15.680 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.680 * [taylor]: Taking taylor expansion of 1/2 in n
15.680 * [backup-simplify]: Simplify 1/2 into 1/2
15.680 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.680 * [taylor]: Taking taylor expansion of k in n
15.680 * [backup-simplify]: Simplify k into k
15.680 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.680 * [taylor]: Taking taylor expansion of 1/2 in n
15.680 * [backup-simplify]: Simplify 1/2 into 1/2
15.680 * [taylor]: Taking taylor expansion of (log 2) in n
15.680 * [taylor]: Taking taylor expansion of 2 in n
15.680 * [backup-simplify]: Simplify 2 into 2
15.681 * [backup-simplify]: Simplify (log 2) into (log 2)
15.681 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.681 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
15.681 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))
15.682 * [backup-simplify]: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))
15.682 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
15.682 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
15.682 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
15.682 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
15.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.682 * [taylor]: Taking taylor expansion of 1/2 in n
15.682 * [backup-simplify]: Simplify 1/2 into 1/2
15.682 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.682 * [taylor]: Taking taylor expansion of k in n
15.682 * [backup-simplify]: Simplify k into k
15.682 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.682 * [taylor]: Taking taylor expansion of 1/2 in n
15.682 * [backup-simplify]: Simplify 1/2 into 1/2
15.682 * [taylor]: Taking taylor expansion of (log PI) in n
15.682 * [taylor]: Taking taylor expansion of PI in n
15.682 * [backup-simplify]: Simplify PI into PI
15.683 * [backup-simplify]: Simplify (log PI) into (log PI)
15.683 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.683 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
15.684 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
15.684 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
15.684 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
15.684 * [taylor]: Taking taylor expansion of (/ -1 k) in n
15.685 * [taylor]: Taking taylor expansion of -1 in n
15.685 * [backup-simplify]: Simplify -1 into -1
15.685 * [taylor]: Taking taylor expansion of k in n
15.685 * [backup-simplify]: Simplify k into k
15.685 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
15.685 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
15.685 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
15.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
15.686 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
15.687 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
15.688 * [backup-simplify]: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k)))
15.688 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in n
15.688 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
15.688 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
15.688 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
15.688 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
15.688 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
15.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.688 * [taylor]: Taking taylor expansion of 1/2 in n
15.688 * [backup-simplify]: Simplify 1/2 into 1/2
15.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.688 * [taylor]: Taking taylor expansion of k in n
15.688 * [backup-simplify]: Simplify k into k
15.689 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.689 * [taylor]: Taking taylor expansion of 1/2 in n
15.689 * [backup-simplify]: Simplify 1/2 into 1/2
15.689 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
15.689 * [taylor]: Taking taylor expansion of (/ -1 n) in n
15.689 * [taylor]: Taking taylor expansion of -1 in n
15.689 * [backup-simplify]: Simplify -1 into -1
15.689 * [taylor]: Taking taylor expansion of n in n
15.689 * [backup-simplify]: Simplify 0 into 0
15.689 * [backup-simplify]: Simplify 1 into 1
15.689 * [backup-simplify]: Simplify (/ -1 1) into -1
15.690 * [backup-simplify]: Simplify (log -1) into (log -1)
15.690 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.690 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
15.691 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
15.691 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
15.692 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
15.692 * [taylor]: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
15.692 * [taylor]: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n
15.692 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n
15.692 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n
15.692 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
15.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.692 * [taylor]: Taking taylor expansion of 1/2 in n
15.692 * [backup-simplify]: Simplify 1/2 into 1/2
15.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.692 * [taylor]: Taking taylor expansion of k in n
15.692 * [backup-simplify]: Simplify k into k
15.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.692 * [taylor]: Taking taylor expansion of 1/2 in n
15.692 * [backup-simplify]: Simplify 1/2 into 1/2
15.692 * [taylor]: Taking taylor expansion of (log 2) in n
15.692 * [taylor]: Taking taylor expansion of 2 in n
15.692 * [backup-simplify]: Simplify 2 into 2
15.693 * [backup-simplify]: Simplify (log 2) into (log 2)
15.693 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.693 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
15.693 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))
15.694 * [backup-simplify]: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))
15.694 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
15.694 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
15.694 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
15.694 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
15.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
15.694 * [taylor]: Taking taylor expansion of 1/2 in n
15.694 * [backup-simplify]: Simplify 1/2 into 1/2
15.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n
15.694 * [taylor]: Taking taylor expansion of k in n
15.694 * [backup-simplify]: Simplify k into k
15.694 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
15.694 * [taylor]: Taking taylor expansion of 1/2 in n
15.694 * [backup-simplify]: Simplify 1/2 into 1/2
15.694 * [taylor]: Taking taylor expansion of (log PI) in n
15.694 * [taylor]: Taking taylor expansion of PI in n
15.694 * [backup-simplify]: Simplify PI into PI
15.695 * [backup-simplify]: Simplify (log PI) into (log PI)
15.695 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
15.695 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
15.695 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
15.696 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
15.696 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
15.696 * [taylor]: Taking taylor expansion of (/ -1 k) in n
15.696 * [taylor]: Taking taylor expansion of -1 in n
15.696 * [backup-simplify]: Simplify -1 into -1
15.696 * [taylor]: Taking taylor expansion of k in n
15.696 * [backup-simplify]: Simplify k into k
15.696 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
15.696 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
15.696 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
15.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
15.697 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
15.698 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
15.700 * [backup-simplify]: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k)))
15.700 * [taylor]: Taking taylor expansion of (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k
15.700 * [taylor]: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k
15.700 * [taylor]: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in k
15.700 * [taylor]: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in k
15.700 * [taylor]: Taking taylor expansion of (log 2) in k
15.700 * [taylor]: Taking taylor expansion of 2 in k
15.700 * [backup-simplify]: Simplify 2 into 2
15.700 * [backup-simplify]: Simplify (log 2) into (log 2)
15.700 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
15.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.701 * [taylor]: Taking taylor expansion of 1/2 in k
15.701 * [backup-simplify]: Simplify 1/2 into 1/2
15.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.701 * [taylor]: Taking taylor expansion of k in k
15.701 * [backup-simplify]: Simplify 0 into 0
15.701 * [backup-simplify]: Simplify 1 into 1
15.701 * [backup-simplify]: Simplify (/ 1 1) into 1
15.701 * [taylor]: Taking taylor expansion of 1/2 in k
15.701 * [backup-simplify]: Simplify 1/2 into 1/2
15.702 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.702 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.703 * [backup-simplify]: Simplify (* (log 2) 1/2) into (* 1/2 (log 2))
15.703 * [backup-simplify]: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))
15.703 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
15.703 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k
15.704 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k
15.704 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
15.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.704 * [taylor]: Taking taylor expansion of 1/2 in k
15.704 * [backup-simplify]: Simplify 1/2 into 1/2
15.704 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.704 * [taylor]: Taking taylor expansion of k in k
15.704 * [backup-simplify]: Simplify 0 into 0
15.704 * [backup-simplify]: Simplify 1 into 1
15.704 * [backup-simplify]: Simplify (/ 1 1) into 1
15.704 * [taylor]: Taking taylor expansion of 1/2 in k
15.704 * [backup-simplify]: Simplify 1/2 into 1/2
15.704 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k
15.704 * [taylor]: Taking taylor expansion of (log -1) in k
15.704 * [taylor]: Taking taylor expansion of -1 in k
15.704 * [backup-simplify]: Simplify -1 into -1
15.705 * [backup-simplify]: Simplify (log -1) into (log -1)
15.705 * [taylor]: Taking taylor expansion of (log n) in k
15.705 * [taylor]: Taking taylor expansion of n in k
15.705 * [backup-simplify]: Simplify n into n
15.705 * [backup-simplify]: Simplify (log n) into (log n)
15.705 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.706 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.706 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
15.706 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
15.707 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
15.707 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
15.707 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
15.707 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
15.707 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
15.707 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
15.707 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
15.707 * [taylor]: Taking taylor expansion of 1/2 in k
15.707 * [backup-simplify]: Simplify 1/2 into 1/2
15.708 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.708 * [taylor]: Taking taylor expansion of k in k
15.708 * [backup-simplify]: Simplify 0 into 0
15.708 * [backup-simplify]: Simplify 1 into 1
15.708 * [backup-simplify]: Simplify (/ 1 1) into 1
15.708 * [taylor]: Taking taylor expansion of 1/2 in k
15.708 * [backup-simplify]: Simplify 1/2 into 1/2
15.708 * [taylor]: Taking taylor expansion of (log PI) in k
15.708 * [taylor]: Taking taylor expansion of PI in k
15.708 * [backup-simplify]: Simplify PI into PI
15.709 * [backup-simplify]: Simplify (log PI) into (log PI)
15.709 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.709 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.710 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
15.711 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
15.711 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
15.711 * [taylor]: Taking taylor expansion of (/ -1 k) in k
15.711 * [taylor]: Taking taylor expansion of -1 in k
15.711 * [backup-simplify]: Simplify -1 into -1
15.711 * [taylor]: Taking taylor expansion of k in k
15.711 * [backup-simplify]: Simplify 0 into 0
15.711 * [backup-simplify]: Simplify 1 into 1
15.711 * [backup-simplify]: Simplify (/ -1 1) into -1
15.711 * [backup-simplify]: Simplify (sqrt 0) into 0
15.712 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
15.713 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
15.713 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
15.714 * [backup-simplify]: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
15.715 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
15.716 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
15.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
15.716 * [backup-simplify]: Simplify (+ 0 0) into 0
15.717 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
15.718 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
15.718 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
15.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
15.719 * [backup-simplify]: Simplify (+ 0 0) into 0
15.719 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log 2))) into 0
15.720 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0
15.721 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
15.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
15.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
15.723 * [backup-simplify]: Simplify (+ 0 0) into 0
15.723 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
15.723 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0
15.724 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.725 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
15.726 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
15.726 * [taylor]: Taking taylor expansion of 0 in k
15.726 * [backup-simplify]: Simplify 0 into 0
15.726 * [backup-simplify]: Simplify 0 into 0
15.726 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
15.727 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
15.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
15.729 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
15.731 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
15.732 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
15.733 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
15.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
15.735 * [backup-simplify]: Simplify (+ 0 0) into 0
15.735 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
15.736 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.738 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
15.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
15.739 * [backup-simplify]: Simplify (+ 0 0) into 0
15.740 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log 2)))) into 0
15.741 * [backup-simplify]: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.741 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
15.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.744 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
15.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
15.746 * [backup-simplify]: Simplify (+ 0 0) into 0
15.747 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
15.748 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
15.750 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.752 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
15.752 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.753 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
15.754 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
15.754 * [taylor]: Taking taylor expansion of 0 in k
15.754 * [backup-simplify]: Simplify 0 into 0
15.754 * [backup-simplify]: Simplify 0 into 0
15.754 * [backup-simplify]: Simplify 0 into 0
15.755 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
15.756 * [backup-simplify]: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (+ (* 0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
15.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.761 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
15.762 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))
15.765 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)))))))
15.765 * * * [progress]: simplifying candidates
15.765 * * * * [progress]: [ 1 / 236 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log n) (- 1/2 (* 1/2 k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.765 * * * * [progress]: [ 2 / 236 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log n) (- 1/2 (* 1/2 k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.765 * * * * [progress]: [ 3 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (* 1 (- 1/2 (* 1/2 k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.765 * * * * [progress]: [ 4 / 236 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n 1/2) (pow n (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.765 * * * * [progress]: [ 5 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow n (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k))))) (cbrt (- 1/2 (* 1/2 k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.765 * * * * [progress]: [ 6 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow n (sqrt (- 1/2 (* 1/2 k)))) (sqrt (- 1/2 (* 1/2 k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.765 * * * * [progress]: [ 7 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow n 1) (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.765 * * * * [progress]: [ 8 / 236 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n 1/2) (pow n (- (* 1/2 k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.765 * * * * [progress]: [ 9 / 236 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n 1/2) (pow n (- (* 1/2 k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 10 / 236 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* (cbrt n) (cbrt n)) (- 1/2 (* 1/2 k))) (pow (cbrt n) (- 1/2 (* 1/2 k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 11 / 236 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (pow (sqrt n) (- 1/2 (* 1/2 k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 12 / 236 ] simplifiying candidate #<alt (λ (k n) (* (* (pow 1 (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 13 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow n (- 1/2 (* 1/2 k))) 1) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 14 / 236 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow n (- 1/2 (* 1/2 k))))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 15 / 236 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow n (- 1/2 (* 1/2 k))))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 16 / 236 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))) (cbrt (pow n (- 1/2 (* 1/2 k))))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 17 / 236 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k))))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 18 / 236 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt (pow n (- 1/2 (* 1/2 k))))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 19 / 236 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow n (- 1/2 (* 1/2 k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 20 / 236 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (pow n (/ (- 1/2 (* 1/2 k)) 2))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 21 / 236 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow n (- 1/2 (* 1/2 k))))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 22 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (exp (* (log PI) (- 1/2 (* 1/2 k)))) (sqrt k)))))>
15.766 * * * * [progress]: [ 23 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (exp (* (log PI) (- 1/2 (* 1/2 k)))) (sqrt k)))))>
15.766 * * * * [progress]: [ 24 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (* 1 (- 1/2 (* 1/2 k)))) (sqrt k)))))>
15.766 * * * * [progress]: [ 25 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (/ (pow PI 1/2) (pow PI (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 26 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (pow PI (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k))))) (cbrt (- 1/2 (* 1/2 k)))) (sqrt k)))))>
15.766 * * * * [progress]: [ 27 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (pow PI (sqrt (- 1/2 (* 1/2 k)))) (sqrt (- 1/2 (* 1/2 k)))) (sqrt k)))))>
15.766 * * * * [progress]: [ 28 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (pow PI 1) (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.766 * * * * [progress]: [ 29 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (pow PI 1/2) (pow PI (- (* 1/2 k)))) (sqrt k)))))>
15.766 * * * * [progress]: [ 30 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (pow PI 1/2) (pow PI (- (* 1/2 k)))) (sqrt k)))))>
15.766 * * * * [progress]: [ 31 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (pow (cbrt PI) (- 1/2 (* 1/2 k)))) (sqrt k)))))>
15.766 * * * * [progress]: [ 32 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (pow (sqrt PI) (- 1/2 (* 1/2 k))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt k)))))>
15.766 * * * * [progress]: [ 33 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (pow 1 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))))>
15.767 * * * * [progress]: [ 34 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (pow PI (- 1/2 (* 1/2 k))) 1) (sqrt k)))))>
15.767 * * * * [progress]: [ 35 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (exp (log (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)))))>
15.767 * * * * [progress]: [ 36 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (log (exp (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)))))>
15.767 * * * * [progress]: [ 37 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)))))>
15.767 * * * * [progress]: [ 38 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (cbrt (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)))))>
15.767 * * * * [progress]: [ 39 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)))))>
15.767 * * * * [progress]: [ 40 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))))>
15.767 * * * * [progress]: [ 41 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt k)))))>
15.767 * * * * [progress]: [ 42 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (posit16->real (real->posit16 (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)))))>
15.767 * * * * [progress]: [ 43 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (pow (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) 1)))>
15.767 * * * * [progress]: [ 44 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (exp (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.767 * * * * [progress]: [ 45 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (exp (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.767 * * * * [progress]: [ 46 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (exp (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k)))))))>
15.767 * * * * [progress]: [ 47 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (exp (+ (* (log 2) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.767 * * * * [progress]: [ 48 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (exp (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.767 * * * * [progress]: [ 49 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (exp (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.767 * * * * [progress]: [ 50 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (exp (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k)))))))>
15.767 * * * * [progress]: [ 51 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (exp (+ (* (log 2) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.767 * * * * [progress]: [ 52 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (exp (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.767 * * * * [progress]: [ 53 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (exp (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.767 * * * * [progress]: [ 54 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (exp (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k)))))))>
15.767 * * * * [progress]: [ 55 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (exp (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.767 * * * * [progress]: [ 56 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (exp (log (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.767 * * * * [progress]: [ 57 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (log (exp (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.767 * * * * [progress]: [ 58 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (cbrt (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (pow 2 (- 1/2 (* 1/2 k)))) (/ (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))))>
15.768 * * * * [progress]: [ 59 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (cbrt (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (pow 2 (- 1/2 (* 1/2 k)))) (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.768 * * * * [progress]: [ 60 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (cbrt (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (cbrt (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))) (cbrt (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.768 * * * * [progress]: [ 61 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (cbrt (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.768 * * * * [progress]: [ 62 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (sqrt (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (sqrt (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.768 * * * * [progress]: [ 63 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (/ (* (pow 2 1/2) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k)))))>
15.768 * * * * [progress]: [ 64 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* 1 (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.768 * * * * [progress]: [ 65 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.768 * * * * [progress]: [ 66 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))))>
15.768 * * * * [progress]: [ 67 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))))>
15.768 * * * * [progress]: [ 68 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))))>
15.768 * * * * [progress]: [ 69 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))))>
15.768 * * * * [progress]: [ 70 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))))))>
15.768 * * * * [progress]: [ 71 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))))))>
15.768 * * * * [progress]: [ 72 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.768 * * * * [progress]: [ 73 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))))>
15.768 * * * * [progress]: [ 74 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))))>
15.768 * * * * [progress]: [ 75 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))))>
15.768 * * * * [progress]: [ 76 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))))>
15.768 * * * * [progress]: [ 77 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))))))>
15.768 * * * * [progress]: [ 78 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))))))>
15.768 * * * * [progress]: [ 79 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.769 * * * * [progress]: [ 80 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))))>
15.769 * * * * [progress]: [ 81 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))))>
15.769 * * * * [progress]: [ 82 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))))>
15.769 * * * * [progress]: [ 83 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))))>
15.769 * * * * [progress]: [ 84 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))))))>
15.769 * * * * [progress]: [ 85 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))))))>
15.769 * * * * [progress]: [ 86 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (* (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))) (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.769 * * * * [progress]: [ 87 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.769 * * * * [progress]: [ 88 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- (* 1/2 k))) (cbrt (sqrt k))))))>
15.769 * * * * [progress]: [ 89 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- (* 1/2 k))) (sqrt (cbrt k))))))>
15.769 * * * * [progress]: [ 90 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (sqrt (sqrt k))))))>
15.769 * * * * [progress]: [ 91 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt 1))) (/ (pow PI (- (* 1/2 k))) (sqrt k)))))>
15.769 * * * * [progress]: [ 92 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (sqrt (sqrt k))))))>
15.769 * * * * [progress]: [ 93 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) 1)) (/ (pow PI (- (* 1/2 k))) (sqrt k)))))>
15.769 * * * * [progress]: [ 94 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- (* 1/2 k))) (cbrt (sqrt k))))))>
15.769 * * * * [progress]: [ 95 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- (* 1/2 k))) (sqrt (cbrt k))))))>
15.769 * * * * [progress]: [ 96 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (sqrt (sqrt k))))))>
15.769 * * * * [progress]: [ 97 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt 1))) (/ (pow PI (- (* 1/2 k))) (sqrt k)))))>
15.769 * * * * [progress]: [ 98 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (* 1/2 k))) (sqrt (sqrt k))))))>
15.769 * * * * [progress]: [ 99 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI 1/2) 1)) (/ (pow PI (- (* 1/2 k))) (sqrt k)))))>
15.769 * * * * [progress]: [ 100 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))))>
15.770 * * * * [progress]: [ 101 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (cbrt k))))))>
15.770 * * * * [progress]: [ 102 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
15.770 * * * * [progress]: [ 103 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt 1))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.770 * * * * [progress]: [ 104 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
15.770 * * * * [progress]: [ 105 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) 1)) (/ (pow (cbrt PI) (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.770 * * * * [progress]: [ 106 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))))>
15.770 * * * * [progress]: [ 107 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (cbrt k))))))>
15.770 * * * * [progress]: [ 108 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
15.770 * * * * [progress]: [ 109 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt 1))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.770 * * * * [progress]: [ 110 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
15.770 * * * * [progress]: [ 111 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) 1)) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.770 * * * * [progress]: [ 112 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow 1 (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))))>
15.770 * * * * [progress]: [ 113 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (cbrt k))))))>
15.770 * * * * [progress]: [ 114 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
15.770 * * * * [progress]: [ 115 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt 1))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.770 * * * * [progress]: [ 116 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
15.770 * * * * [progress]: [ 117 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow 1 (- 1/2 (* 1/2 k))) 1)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.770 * * * * [progress]: [ 118 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))))>
15.770 * * * * [progress]: [ 119 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (cbrt k))))))>
15.770 * * * * [progress]: [ 120 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))))>
15.770 * * * * [progress]: [ 121 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt 1))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))))>
15.771 * * * * [progress]: [ 122 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))))>
15.771 * * * * [progress]: [ 123 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) 1)) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))))>
15.771 * * * * [progress]: [ 124 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))))>
15.771 * * * * [progress]: [ 125 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (cbrt k))))))>
15.771 * * * * [progress]: [ 126 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))))>
15.771 * * * * [progress]: [ 127 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt 1))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))))>
15.771 * * * * [progress]: [ 128 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))))>
15.771 * * * * [progress]: [ 129 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) 1)) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))))>
15.771 * * * * [progress]: [ 130 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))))>
15.771 * * * * [progress]: [ 131 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (cbrt k))))))>
15.771 * * * * [progress]: [ 132 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
15.771 * * * * [progress]: [ 133 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (sqrt 1))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.771 * * * * [progress]: [ 134 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))))>
15.771 * * * * [progress]: [ 135 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ 1 1)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.771 * * * * [progress]: [ 136 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (cbrt (sqrt k))))))>
15.771 * * * * [progress]: [ 137 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (cbrt k))))))>
15.771 * * * * [progress]: [ 138 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))))))>
15.771 * * * * [progress]: [ 139 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt 1))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt k)))))>
15.771 * * * * [progress]: [ 140 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))))))>
15.771 * * * * [progress]: [ 141 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) 1)) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt k)))))>
15.771 * * * * [progress]: [ 142 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) 1) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.771 * * * * [progress]: [ 143 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (/ 1 (sqrt k)))))>
15.771 * * * * [progress]: [ 144 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 1/2) (* (pow 2 (- (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.772 * * * * [progress]: [ 145 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 1/2) (* (pow 2 (- (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.772 * * * * [progress]: [ 146 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow (* (cbrt 2) (cbrt 2)) (- 1/2 (* 1/2 k))) (* (pow (cbrt 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.772 * * * * [progress]: [ 147 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.772 * * * * [progress]: [ 148 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 1 (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.772 * * * * [progress]: [ 149 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (* (cbrt (pow 2 (- 1/2 (* 1/2 k)))) (cbrt (pow 2 (- 1/2 (* 1/2 k))))) (* (cbrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.772 * * * * [progress]: [ 150 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.772 * * * * [progress]: [ 151 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* 1 (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.772 * * * * [progress]: [ 152 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (* (pow 2 (/ (- 1/2 (* 1/2 k)) 2)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.772 * * * * [progress]: [ 153 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (/ (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))))>
15.772 * * * * [progress]: [ 154 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (/ (* (pow 2 1/2) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (pow 2 (* 1/2 k)))))>
15.772 * * * * [progress]: [ 155 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (posit16->real (real->posit16 (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.772 * * * * [progress]: [ 156 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (pow 2 (- 1/2 (* 1/2 k))))))>
15.772 * * * * [progress]: [ 157 / 236 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) 1))>
15.772 * * * * [progress]: [ 158 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.772 * * * * [progress]: [ 159 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.772 * * * * [progress]: [ 160 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k)))))))>
15.772 * * * * [progress]: [ 161 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.772 * * * * [progress]: [ 162 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.772 * * * * [progress]: [ 163 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.772 * * * * [progress]: [ 164 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k)))))))>
15.772 * * * * [progress]: [ 165 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.772 * * * * [progress]: [ 166 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.772 * * * * [progress]: [ 167 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.772 * * * * [progress]: [ 168 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 169 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.773 * * * * [progress]: [ 170 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (log (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.773 * * * * [progress]: [ 171 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 172 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 173 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 174 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.773 * * * * [progress]: [ 175 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 176 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 177 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 178 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.773 * * * * [progress]: [ 179 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 180 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 181 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 182 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.773 * * * * [progress]: [ 183 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (log (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.773 * * * * [progress]: [ 184 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 185 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 186 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 187 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.773 * * * * [progress]: [ 188 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 189 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 190 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k)))))))>
15.773 * * * * [progress]: [ 191 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (+ (* (log 2) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.774 * * * * [progress]: [ 192 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.774 * * * * [progress]: [ 193 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k)))))))>
15.774 * * * * [progress]: [ 194 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k)))))))>
15.774 * * * * [progress]: [ 195 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.774 * * * * [progress]: [ 196 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (log (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.774 * * * * [progress]: [ 197 / 236 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.774 * * * * [progress]: [ 198 / 236 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.774 * * * * [progress]: [ 199 / 236 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (pow 2 (- 1/2 (* 1/2 k)))) (/ (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))))>
15.774 * * * * [progress]: [ 200 / 236 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (pow 2 (- 1/2 (* 1/2 k)))) (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.774 * * * * [progress]: [ 201 / 236 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.774 * * * * [progress]: [ 202 / 236 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))) (cbrt (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))) (cbrt (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.774 * * * * [progress]: [ 203 / 236 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.774 * * * * [progress]: [ 204 / 236 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))) (sqrt (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.774 * * * * [progress]: [ 205 / 236 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n 1/2) (* (pow 2 1/2) (pow PI (- 1/2 (* 1/2 k))))) (* (pow n (* 1/2 k)) (* (pow 2 (* 1/2 k)) (sqrt k)))))>
15.774 * * * * [progress]: [ 206 / 236 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n 1/2) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (* (pow n (* 1/2 k)) (sqrt k))))>
15.774 * * * * [progress]: [ 207 / 236 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n 1/2) (* (pow 2 1/2) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (* (pow n (* 1/2 k)) (pow 2 (* 1/2 k)))))>
15.774 * * * * [progress]: [ 208 / 236 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.774 * * * * [progress]: [ 209 / 236 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
15.774 * * * * [progress]: [ 210 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n 1/2) (* (pow n (- (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.774 * * * * [progress]: [ 211 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n 1/2) (* (pow n (- (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.774 * * * * [progress]: [ 212 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (- 1/2 (* 1/2 k))) (* (pow (cbrt n) (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.774 * * * * [progress]: [ 213 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.774 * * * * [progress]: [ 214 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow 1 (- 1/2 (* 1/2 k))) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.775 * * * * [progress]: [ 215 / 236 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.775 * * * * [progress]: [ 216 / 236 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.775 * * * * [progress]: [ 217 / 236 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.775 * * * * [progress]: [ 218 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))))>
15.775 * * * * [progress]: [ 219 / 236 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 1/2) (pow PI (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
15.775 * * * * [progress]: [ 220 / 236 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)))>
15.775 * * * * [progress]: [ 221 / 236 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 1/2) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (pow 2 (* 1/2 k))))>
15.775 * * * * [progress]: [ 222 / 236 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n 1/2) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (pow n (* 1/2 k))))>
15.775 * * * * [progress]: [ 223 / 236 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))))>
15.775 * * * * [progress]: [ 224 / 236 ] simplifiying candidate #<alt (λ (k n) (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (pow n (- 1/2 (* 1/2 k)))))>
15.775 * * * * [progress]: [ 225 / 236 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.775 * * * * [progress]: [ 226 / 236 ] simplifiying candidate #<alt (λ (k n) (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.775 * * * * [progress]: [ 227 / 236 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.775 * * * * [progress]: [ 228 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) (sqrt k)))))>
15.775 * * * * [progress]: [ 229 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.775 * * * * [progress]: [ 230 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))>
15.775 * * * * [progress]: [ 231 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI))))))))))))))))))))))))>
15.775 * * * * [progress]: [ 232 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (- (+ (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 3))))))))))>
15.775 * * * * [progress]: [ 233 / 236 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (- (+ (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))))))))))>
15.775 * * * * [progress]: [ 234 / 236 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))))))))))))))>
15.775 * * * * [progress]: [ 235 / 236 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2)))))))))>
15.776 * * * * [progress]: [ 236 / 236 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k))))))))>
15.782 * [simplify]: Simplifying:
  (* (log n) (- 1/2 (* 1/2 k)))
  (* (log n) (- 1/2 (* 1/2 k)))
  (* 1 (- 1/2 (* 1/2 k)))
  (pow n 1/2)
  (pow n (* 1/2 k))
  (pow n (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow n (sqrt (- 1/2 (* 1/2 k))))
  (pow n 1)
  (pow n 1/2)
  (pow n (- (* 1/2 k)))
  (pow n 1/2)
  (pow n (- (* 1/2 k)))
  (pow (* (cbrt n) (cbrt n)) (- 1/2 (* 1/2 k)))
  (pow (cbrt n) (- 1/2 (* 1/2 k)))
  (pow (sqrt n) (- 1/2 (* 1/2 k)))
  (pow (sqrt n) (- 1/2 (* 1/2 k)))
  (pow 1 (- 1/2 (* 1/2 k)))
  (pow n (- 1/2 (* 1/2 k)))
  (log (pow n (- 1/2 (* 1/2 k))))
  (exp (pow n (- 1/2 (* 1/2 k))))
  (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))
  (cbrt (pow n (- 1/2 (* 1/2 k))))
  (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k))))
  (sqrt (pow n (- 1/2 (* 1/2 k))))
  (sqrt (pow n (- 1/2 (* 1/2 k))))
  (pow n (/ (- 1/2 (* 1/2 k)) 2))
  (pow n (/ (- 1/2 (* 1/2 k)) 2))
  (real->posit16 (pow n (- 1/2 (* 1/2 k))))
  (* (log PI) (- 1/2 (* 1/2 k)))
  (* (log PI) (- 1/2 (* 1/2 k)))
  (* 1 (- 1/2 (* 1/2 k)))
  (pow PI 1/2)
  (pow PI (* 1/2 k))
  (pow PI (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow PI (sqrt (- 1/2 (* 1/2 k))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (- (* 1/2 k)))
  (pow PI 1/2)
  (pow PI (- (* 1/2 k)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))
  (pow (cbrt PI) (- 1/2 (* 1/2 k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  (pow 1 (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (log (pow PI (- 1/2 (* 1/2 k))))
  (exp (pow PI (- 1/2 (* 1/2 k))))
  (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (cbrt (pow PI (- 1/2 (* 1/2 k))))
  (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (pow PI (/ (- 1/2 (* 1/2 k)) 2))
  (pow PI (/ (- 1/2 (* 1/2 k)) 2))
  (real->posit16 (pow PI (- 1/2 (* 1/2 k))))
  (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))
  (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))
  (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k))))
  (+ (* (log 2) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))
  (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))
  (+ (* (log 2) (- 1/2 (* 1/2 k))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k))))
  (+ (* (log 2) (- 1/2 (* 1/2 k))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))
  (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (* (log PI) (- 1/2 (* 1/2 k))) (log (sqrt k))))
  (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (- (log (pow PI (- 1/2 (* 1/2 k)))) (log (sqrt k))))
  (+ (log (pow 2 (- 1/2 (* 1/2 k)))) (log (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (log (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (exp (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (pow 2 (- 1/2 (* 1/2 k)))) (/ (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))
  (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (pow 2 (- 1/2 (* 1/2 k)))) (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (cbrt (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (cbrt (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))
  (cbrt (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (* (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (sqrt (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (sqrt (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (pow 2 1/2) (pow PI (- 1/2 (* 1/2 k))))
  (* (pow 2 (* 1/2 k)) (sqrt k))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))))
  (* (sqrt (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
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  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))))))))
  (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt (* n PI)))))))))))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))))))))
  (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)))))))
15.788 * * [simplify]: iteration 0: 460 enodes
15.919 * * [simplify]: iteration 1: 1417 enodes
16.468 * * [simplify]: iteration complete: 5001 enodes
16.468 * * [simplify]: Extracting #0: cost 141 inf + 0
16.470 * * [simplify]: Extracting #1: cost 773 inf + 3
16.473 * * [simplify]: Extracting #2: cost 1235 inf + 657
16.479 * * [simplify]: Extracting #3: cost 1510 inf + 8000
16.494 * * [simplify]: Extracting #4: cost 1284 inf + 122181
16.553 * * [simplify]: Extracting #5: cost 576 inf + 545536
16.677 * * [simplify]: Extracting #6: cost 218 inf + 789717
16.862 * * [simplify]: Extracting #7: cost 170 inf + 829525
17.037 * * [simplify]: Extracting #8: cost 108 inf + 881715
17.246 * * [simplify]: Extracting #9: cost 94 inf + 897646
17.445 * * [simplify]: Extracting #10: cost 91 inf + 905551
17.597 * * [simplify]: Extracting #11: cost 48 inf + 935763
17.785 * * [simplify]: Extracting #12: cost 13 inf + 983788
18.014 * * [simplify]: Extracting #13: cost 6 inf + 1001013
18.226 * * [simplify]: Extracting #14: cost 0 inf + 1016943
18.469 * [simplify]: Simplified to:
  (* (- 1/2 (* 1/2 k)) (log n))
  (* (- 1/2 (* 1/2 k)) (log n))
  (- 1/2 (* 1/2 k))
  (sqrt n)
  (pow n (* 1/2 k))
  (pow n (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow n (sqrt (- 1/2 (* 1/2 k))))
  n
  (sqrt n)
  (pow n (* -1/2 k))
  (sqrt n)
  (pow n (* -1/2 k))
  (pow (* (cbrt n) (cbrt n)) (- 1/2 (* 1/2 k)))
  (pow (cbrt n) (- 1/2 (* 1/2 k)))
  (pow (sqrt n) (- 1/2 (* 1/2 k)))
  (pow (sqrt n) (- 1/2 (* 1/2 k)))
  1
  (pow n (- 1/2 (* 1/2 k)))
  (* (- 1/2 (* 1/2 k)) (log n))
  (exp (pow n (- 1/2 (* 1/2 k))))
  (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))
  (cbrt (pow n (- 1/2 (* 1/2 k))))
  (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k))))
  (sqrt (pow n (- 1/2 (* 1/2 k))))
  (sqrt (pow n (- 1/2 (* 1/2 k))))
  (pow n (/ (- 1/2 (* 1/2 k)) 2))
  (pow n (/ (- 1/2 (* 1/2 k)) 2))
  (real->posit16 (pow n (- 1/2 (* 1/2 k))))
  (* (- 1/2 (* 1/2 k)) (log PI))
  (* (- 1/2 (* 1/2 k)) (log PI))
  (- 1/2 (* 1/2 k))
  (sqrt PI)
  (pow PI (* 1/2 k))
  (pow PI (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow PI (sqrt (- 1/2 (* 1/2 k))))
  PI
  (sqrt PI)
  (pow PI (* -1/2 k))
  (sqrt PI)
  (pow PI (* -1/2 k))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))
  (pow (cbrt PI) (- 1/2 (* 1/2 k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  1
  (pow PI (- 1/2 (* 1/2 k)))
  (* (- 1/2 (* 1/2 k)) (log PI))
  (exp (pow PI (- 1/2 (* 1/2 k))))
  (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (cbrt (pow PI (- 1/2 (* 1/2 k))))
  (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (pow PI (/ (- 1/2 (* 1/2 k)) 2))
  (pow PI (/ (- 1/2 (* 1/2 k)) 2))
  (real->posit16 (pow PI (- 1/2 (* 1/2 k))))
  (- (* (- 1/2 (* 1/2 k)) (+ (log 2) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log 2) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (log PI)) (- (log (sqrt k)) (* (log 2) (- 1/2 (* 1/2 k)))))
  (- (* (- 1/2 (* 1/2 k)) (log PI)) (- (log (sqrt k)) (* (log 2) (- 1/2 (* 1/2 k)))))
  (- (* (- 1/2 (* 1/2 k)) (+ (log 2) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log 2) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (log PI)) (- (log (sqrt k)) (* (log 2) (- 1/2 (* 1/2 k)))))
  (- (* (- 1/2 (* 1/2 k)) (log PI)) (- (log (sqrt k)) (* (log 2) (- 1/2 (* 1/2 k)))))
  (- (* (- 1/2 (* 1/2 k)) (+ (log 2) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (+ (log 2) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (* 1/2 k)) (log PI)) (- (log (sqrt k)) (* (log 2) (- 1/2 (* 1/2 k)))))
  (- (* (- 1/2 (* 1/2 k)) (log PI)) (- (log (sqrt k)) (* (log 2) (- 1/2 (* 1/2 k)))))
  (- (* (- 1/2 (* 1/2 k)) (log PI)) (- (log (sqrt k)) (* (log 2) (- 1/2 (* 1/2 k)))))
  (exp (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (* k (sqrt k))))
  (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (* k (sqrt k))))
  (* (cbrt (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (cbrt (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (exp (* (log 2) (- 1/2 (* 1/2 k)))))))
  (cbrt (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (pow 2 (- 1/2 (* 1/2 k)))) (pow 2 (- 1/2 (* 1/2 k)))) (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (pow 2 (- 1/2 (* 1/2 k))))))
  (sqrt (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (sqrt (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (pow PI (- 1/2 (* 1/2 k))) (sqrt 2))
  (* (sqrt k) (pow 2 (* 1/2 k)))
  (* (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (pow (sqrt 2) (- 1/2 (* 1/2 k))))
  (* (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (pow (sqrt 2) (- 1/2 (* 1/2 k))))
  (/ (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (pow (sqrt 2) (- 1/2 (* 1/2 k))))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (pow (sqrt 2) (- 1/2 (* 1/2 k))))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (pow (sqrt 2) (- 1/2 (* 1/2 k))))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (pow (sqrt 2) (- 1/2 (* 1/2 k))))
  (/ (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (/ (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (/ (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (/ (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (* (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (/ (* (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (* (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (* (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (/ (* (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))) (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))) (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))) (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))) (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k))) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (* (cbrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))
  (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt PI)) (fabs (cbrt k)))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (/ (sqrt PI) (sqrt (sqrt k))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt PI))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (/ (sqrt PI) (sqrt (sqrt k))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt PI))
  (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))
  (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt PI)) (fabs (cbrt k)))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (/ (sqrt PI) (sqrt (sqrt k))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt PI))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (/ (sqrt PI) (sqrt (sqrt k))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt PI))
  (* (/ (exp (* (log 2) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k))))
  (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (fabs (cbrt k))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))
  (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))))
  (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (fabs (cbrt k))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow (sqrt PI) (- 1/2 (* 1/2 k))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (/ (pow (sqrt PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow (sqrt PI) (- 1/2 (* 1/2 k))))
  (/ (exp (* (log 2) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log 2) (- 1/2 (* 1/2 k)))) (fabs (cbrt k)))
  (/ (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (exp (* (log 2) (- 1/2 (* 1/2 k))))
  (/ (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (exp (* (log 2) (- 1/2 (* 1/2 k))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (* (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))))
  (* (/ (cbrt (pow PI (- 1/2 (* 1/2 k)))) (/ (fabs (cbrt k)) (cbrt (pow PI (- 1/2 (* 1/2 k)))))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))
  (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (* 1/2 k))))))
  (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (* 1/2 k))))))
  (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (/ (* (sqrt (pow PI (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (* 1/2 k))))) (fabs (cbrt k)))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (* 1/2 k)))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (* 1/2 k)))))
  (/ (exp (* (log 2) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (exp (* (log 2) (- 1/2 (* 1/2 k)))) (fabs (cbrt k)))
  (/ (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (exp (* (log 2) (- 1/2 (* 1/2 k))))
  (/ (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
  (exp (* (log 2) (- 1/2 (* 1/2 k))))
  (* (/ (exp (* (log 2) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (cbrt (sqrt k))))
  (* (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (fabs (cbrt k))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))
  (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (/ (- 1/2 (* 1/2 k)) 2)))
  (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (sqrt (sqrt k)))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (/ (- 1/2 (* 1/2 k)) 2)))
  (exp (* (log 2) (- 1/2 (* 1/2 k))))
  (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))
  (/ (* (pow 2 (* -1/2 k)) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (/ (* (pow 2 (* -1/2 k)) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (pow (cbrt 2) (- 1/2 (* 1/2 k))))
  (* (pow (sqrt 2) (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (exp (* (log 2) (- 1/2 (* 1/2 k)))))
  (* (cbrt (exp (* (log 2) (- 1/2 (* 1/2 k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (sqrt (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (exp (* (log 2) (- 1/2 (* 1/2 k)))))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (pow 2 (/ (- 1/2 (* 1/2 k)) 2)))
  (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (sqrt 2))
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  (+ (- (* (- 1/2 (* 1/2 k)) (+ (log 2) (log PI))) (log (sqrt k))) (* (- 1/2 (* 1/2 k)) (log n)))
  (+ (* (- 1/2 (* 1/2 k)) (+ (log n) (log 2))) (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k))))
  (+ (* (- 1/2 (* 1/2 k)) (+ (log n) (log 2))) (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k))))
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  (+ (- (* (- 1/2 (* 1/2 k)) (+ (log 2) (log PI))) (log (sqrt k))) (* (- 1/2 (* 1/2 k)) (log n)))
  (+ (* (- 1/2 (* 1/2 k)) (+ (log n) (log 2))) (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k))))
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  (+ (- (* (- 1/2 (* 1/2 k)) (+ (log 2) (log PI))) (log (sqrt k))) (* (- 1/2 (* 1/2 k)) (log n)))
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  (+ (+ (* (- 1/2 (* 1/2 k)) (log n)) (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k)))) (* (log 2) (- 1/2 (* 1/2 k))))
  (+ (+ (* (- 1/2 (* 1/2 k)) (log n)) (- (* (- 1/2 (* 1/2 k)) (log PI)) (log (sqrt k)))) (* (log 2) (- 1/2 (* 1/2 k))))
  (exp (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (* (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (* k (sqrt k))) (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k))))))
  (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (* (/ (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (* k (sqrt k))) (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k))))))
  (* (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (* (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))
  (* (cbrt (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))) (cbrt (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))
  (cbrt (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (* (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))
  (sqrt (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (sqrt (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (* (* (sqrt n) (pow PI (- 1/2 (* 1/2 k)))) (sqrt 2))
  (* (pow 2 (* 1/2 k)) (* (sqrt k) (pow n (* 1/2 k))))
  (* (* (sqrt n) (pow PI (- 1/2 (* 1/2 k)))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))
  (* (sqrt k) (pow n (* 1/2 k)))
  (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (sqrt 2)) (sqrt n))
  (* (pow n (* 1/2 k)) (pow 2 (* 1/2 k)))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k))))
  (* (* (pow n (* -1/2 k)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))
  (* (* (pow n (* -1/2 k)) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))
  (* (* (pow (cbrt n) (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (exp (* (log 2) (- 1/2 (* 1/2 k))))))
  (* (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (sqrt (pow n (- 1/2 (* 1/2 k)))))
  (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))
  (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k))))
  (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (* (pow PI (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (* (sqrt 2) (pow n (- 1/2 (* 1/2 k)))))
  (* (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (sqrt n)))
  (real->posit16 (* (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))
  (- (+ (* (* (sqrt n) (* (log n) (log n))) (* (* k k) 1/8)) (sqrt n)) (* (* 1/2 (* k (log n))) (sqrt n)))
  (exp (* (- (- (log n))) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (+ (- (log -1) (log -1)) (log n))))
  (+ (sqrt PI) (* (sqrt PI) (- (* (* 1/8 (* k k)) (* (log PI) (log PI))) (* (* 1/2 k) (log PI)))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (+ (* (* +nan.0 (* (* (* (* k k) (log PI)) (log PI)) (sqrt 2))) (- (sqrt PI))) (+ (- (* (sqrt PI) (* (* (* k k) (sqrt 2)) +nan.0)) (* (* (* (* (* (* k k) (log PI)) (sqrt 2)) (log 2)) (sqrt PI)) +nan.0)) (+ (- (* (* (* (* (sqrt PI) (log PI)) k) (sqrt 2)) +nan.0) (* +nan.0 (* (sqrt PI) (* (log 2) (* (* k k) (sqrt 2)))))) (+ (- (* (* +nan.0 (* (log 2) (log 2))) (* (sqrt PI) (* (* k k) (sqrt 2)))) (* (* +nan.0 (sqrt PI)) (sqrt 2))) (- (* (sqrt PI) (* (* (* (* k k) (log PI)) (sqrt 2)) +nan.0)) (* (sqrt PI) (- (* (* +nan.0 (* k (sqrt 2))) (log 2)) (* +nan.0 (* k (sqrt 2))))))))))
  (- (+ (- (/ (* +nan.0 (exp (* (log 2) (- 1/2 (* 1/2 k))))) (/ (* k k) (pow PI (- 1/2 (* 1/2 k))))) (/ (* +nan.0 (exp (* (log 2) (- 1/2 (* 1/2 k))))) (/ k (pow PI (- 1/2 (* 1/2 k)))))) (/ (* +nan.0 (exp (* (log 2) (- 1/2 (* 1/2 k))))) (/ (* k (* k k)) (pow PI (- 1/2 (* 1/2 k)))))))
  (+ (* +nan.0 (- (* (/ (pow PI (- 1/2 (* 1/2 k))) k) (/ (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))) (* +nan.0 (- (/ (exp (* (log 2) (- 1/2 (* 1/2 k)))) (/ k (pow PI (- 1/2 (* 1/2 k))))) (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))))))
  (- (+ (- (* (* (* (log 2) (sqrt 2)) (* (log n) (* k k))) (* (sqrt (* PI n)) +nan.0)) (* (* +nan.0 (sqrt (* PI n))) (* k (sqrt 2)))) (+ (- (* (* (* (* k k) (log PI)) (sqrt 2)) (* (sqrt (* PI n)) +nan.0)) (* (* (* (log n) (* k k)) (sqrt 2)) (* (sqrt (* PI n)) +nan.0))) (+ (- (* (* +nan.0 (* (* (* (* k k) (log PI)) (sqrt 2)) (log 2))) (sqrt (* PI n))) (* (sqrt (* PI n)) (* (* (log 2) (* (* k k) (sqrt 2))) +nan.0))) (+ (- (* (* (* (log 2) (* (* k k) (sqrt 2))) (log 2)) (* (sqrt (* PI n)) +nan.0)) (* (* +nan.0 (sqrt 2)) (* (* k k) (sqrt (* PI n))))) (+ (- (* (* (* (* (log n) (* k k)) (log n)) (* (sqrt (* PI n)) (sqrt 2))) +nan.0) (* (* +nan.0 (sqrt 2)) (* (* k (log n)) (sqrt (* PI n))))) (+ (- (* (* +nan.0 (sqrt (* PI n))) (sqrt 2)) (* (sqrt (* PI n)) (* (* (log 2) (* k (sqrt 2))) +nan.0))) (- (* (* (sqrt 2) (* (log PI) k)) (* (sqrt (* PI n)) +nan.0)) (* +nan.0 (- (* (* (log PI) (* (* (log n) (* k k)) (sqrt 2))) (sqrt (* PI n))) (* (sqrt (* PI n)) (* (* (* (* k k) (log PI)) (log PI)) (sqrt 2)))))))))))))
  (+ (* (/ (* (exp (+ (* (- (- (log n))) (- 1/2 (* 1/2 k))) (* (log 2) (- 1/2 (* 1/2 k))))) (pow PI (- 1/2 (* 1/2 k)))) (* k (* k k))) (- +nan.0)) (* +nan.0 (- (/ (* (exp (+ (* (- (- (log n))) (- 1/2 (* 1/2 k))) (* (log 2) (- 1/2 (* 1/2 k))))) (pow PI (- 1/2 (* 1/2 k)))) k) (/ (* (exp (+ (* (- (- (log n))) (- 1/2 (* 1/2 k))) (* (log 2) (- 1/2 (* 1/2 k))))) (pow PI (- 1/2 (* 1/2 k)))) (* k k)))))
  (+ (- (* (exp (+ (* (- 1/2 (* 1/2 k)) (+ (- (log -1) (log -1)) (log n))) (* (log 2) (- 1/2 (* 1/2 k))))) (* (pow PI (- 1/2 (* 1/2 k))) +nan.0))) (* +nan.0 (- (* (/ (exp (+ (* (- 1/2 (* 1/2 k)) (+ (- (log -1) (log -1)) (log n))) (* (log 2) (- 1/2 (* 1/2 k))))) k) (/ (pow PI (- 1/2 (* 1/2 k))) k)) (/ (* (exp (+ (* (- 1/2 (* 1/2 k)) (+ (- (log -1) (log -1)) (log n))) (* (log 2) (- 1/2 (* 1/2 k))))) (pow PI (- 1/2 (* 1/2 k)))) k))))
18.493 * * * [progress]: adding candidates to table
19.850 * * [progress]: iteration 4 / 4
19.850 * * * [progress]: picking best candidate
19.894 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
19.894 * * * [progress]: localizing error
19.973 * * * [progress]: generating rewritten candidates
19.973 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
19.982 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
19.991 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
20.009 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
20.054 * * * [progress]: generating series expansions
20.054 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
20.054 * [backup-simplify]: Simplify (pow n (- 1/2 (* 1/2 k))) into (pow n (- 1/2 (* 1/2 k)))
20.054 * [approximate]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in (n k) around 0
20.054 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
20.054 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
20.054 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
20.054 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.054 * [taylor]: Taking taylor expansion of 1/2 in k
20.054 * [backup-simplify]: Simplify 1/2 into 1/2
20.054 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.054 * [taylor]: Taking taylor expansion of 1/2 in k
20.054 * [backup-simplify]: Simplify 1/2 into 1/2
20.054 * [taylor]: Taking taylor expansion of k in k
20.054 * [backup-simplify]: Simplify 0 into 0
20.054 * [backup-simplify]: Simplify 1 into 1
20.054 * [taylor]: Taking taylor expansion of (log n) in k
20.054 * [taylor]: Taking taylor expansion of n in k
20.054 * [backup-simplify]: Simplify n into n
20.054 * [backup-simplify]: Simplify (log n) into (log n)
20.055 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.055 * [backup-simplify]: Simplify (- 0) into 0
20.055 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.055 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
20.055 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
20.055 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
20.055 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
20.055 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
20.055 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
20.055 * [taylor]: Taking taylor expansion of 1/2 in n
20.055 * [backup-simplify]: Simplify 1/2 into 1/2
20.055 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
20.055 * [taylor]: Taking taylor expansion of 1/2 in n
20.055 * [backup-simplify]: Simplify 1/2 into 1/2
20.056 * [taylor]: Taking taylor expansion of k in n
20.056 * [backup-simplify]: Simplify k into k
20.056 * [taylor]: Taking taylor expansion of (log n) in n
20.056 * [taylor]: Taking taylor expansion of n in n
20.056 * [backup-simplify]: Simplify 0 into 0
20.056 * [backup-simplify]: Simplify 1 into 1
20.056 * [backup-simplify]: Simplify (log 1) into 0
20.056 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
20.056 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
20.056 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
20.056 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.056 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
20.056 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
20.056 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
20.056 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
20.056 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
20.056 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
20.056 * [taylor]: Taking taylor expansion of 1/2 in n
20.057 * [backup-simplify]: Simplify 1/2 into 1/2
20.057 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
20.057 * [taylor]: Taking taylor expansion of 1/2 in n
20.057 * [backup-simplify]: Simplify 1/2 into 1/2
20.057 * [taylor]: Taking taylor expansion of k in n
20.057 * [backup-simplify]: Simplify k into k
20.057 * [taylor]: Taking taylor expansion of (log n) in n
20.057 * [taylor]: Taking taylor expansion of n in n
20.057 * [backup-simplify]: Simplify 0 into 0
20.057 * [backup-simplify]: Simplify 1 into 1
20.057 * [backup-simplify]: Simplify (log 1) into 0
20.057 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
20.057 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
20.057 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
20.057 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.057 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
20.057 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
20.058 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
20.058 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
20.058 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
20.058 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.058 * [taylor]: Taking taylor expansion of 1/2 in k
20.058 * [backup-simplify]: Simplify 1/2 into 1/2
20.058 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.058 * [taylor]: Taking taylor expansion of 1/2 in k
20.058 * [backup-simplify]: Simplify 1/2 into 1/2
20.058 * [taylor]: Taking taylor expansion of k in k
20.058 * [backup-simplify]: Simplify 0 into 0
20.058 * [backup-simplify]: Simplify 1 into 1
20.058 * [taylor]: Taking taylor expansion of (log n) in k
20.058 * [taylor]: Taking taylor expansion of n in k
20.058 * [backup-simplify]: Simplify n into n
20.058 * [backup-simplify]: Simplify (log n) into (log n)
20.058 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.058 * [backup-simplify]: Simplify (- 0) into 0
20.059 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.059 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
20.059 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
20.059 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2)
20.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
20.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
20.060 * [backup-simplify]: Simplify (- 0) into 0
20.060 * [backup-simplify]: Simplify (+ 0 0) into 0
20.061 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.061 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0
20.061 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
20.061 * [taylor]: Taking taylor expansion of 0 in k
20.061 * [backup-simplify]: Simplify 0 into 0
20.061 * [backup-simplify]: Simplify 0 into 0
20.062 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
20.062 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.063 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.063 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n)))
20.064 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
20.064 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n)))
20.067 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
20.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
20.068 * [backup-simplify]: Simplify (- 0) into 0
20.068 * [backup-simplify]: Simplify (+ 0 0) into 0
20.069 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.069 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
20.071 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.071 * [taylor]: Taking taylor expansion of 0 in k
20.071 * [backup-simplify]: Simplify 0 into 0
20.071 * [backup-simplify]: Simplify 0 into 0
20.071 * [backup-simplify]: Simplify 0 into 0
20.073 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
20.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
20.074 * [backup-simplify]: Simplify (- 0) into 0
20.074 * [backup-simplify]: Simplify (+ 0 0) into 0
20.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0
20.076 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
20.076 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
20.077 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
20.077 * [backup-simplify]: Simplify (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
20.077 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
20.077 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
20.077 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k
20.077 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k
20.077 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.078 * [taylor]: Taking taylor expansion of 1/2 in k
20.078 * [backup-simplify]: Simplify 1/2 into 1/2
20.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.078 * [taylor]: Taking taylor expansion of 1/2 in k
20.078 * [backup-simplify]: Simplify 1/2 into 1/2
20.078 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.078 * [taylor]: Taking taylor expansion of k in k
20.078 * [backup-simplify]: Simplify 0 into 0
20.078 * [backup-simplify]: Simplify 1 into 1
20.078 * [backup-simplify]: Simplify (/ 1 1) into 1
20.078 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
20.078 * [taylor]: Taking taylor expansion of (/ 1 n) in k
20.078 * [taylor]: Taking taylor expansion of n in k
20.078 * [backup-simplify]: Simplify n into n
20.078 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
20.078 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
20.079 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.079 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.080 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.080 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
20.080 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
20.080 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.080 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
20.080 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
20.080 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.080 * [taylor]: Taking taylor expansion of 1/2 in n
20.080 * [backup-simplify]: Simplify 1/2 into 1/2
20.080 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.080 * [taylor]: Taking taylor expansion of 1/2 in n
20.080 * [backup-simplify]: Simplify 1/2 into 1/2
20.080 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.080 * [taylor]: Taking taylor expansion of k in n
20.080 * [backup-simplify]: Simplify k into k
20.080 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.080 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
20.080 * [taylor]: Taking taylor expansion of (/ 1 n) in n
20.080 * [taylor]: Taking taylor expansion of n in n
20.080 * [backup-simplify]: Simplify 0 into 0
20.080 * [backup-simplify]: Simplify 1 into 1
20.081 * [backup-simplify]: Simplify (/ 1 1) into 1
20.081 * [backup-simplify]: Simplify (log 1) into 0
20.081 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.081 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.081 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.082 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.082 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
20.082 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
20.082 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.082 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
20.082 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
20.082 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.082 * [taylor]: Taking taylor expansion of 1/2 in n
20.082 * [backup-simplify]: Simplify 1/2 into 1/2
20.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.082 * [taylor]: Taking taylor expansion of 1/2 in n
20.082 * [backup-simplify]: Simplify 1/2 into 1/2
20.082 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.082 * [taylor]: Taking taylor expansion of k in n
20.083 * [backup-simplify]: Simplify k into k
20.083 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.083 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
20.083 * [taylor]: Taking taylor expansion of (/ 1 n) in n
20.083 * [taylor]: Taking taylor expansion of n in n
20.083 * [backup-simplify]: Simplify 0 into 0
20.083 * [backup-simplify]: Simplify 1 into 1
20.083 * [backup-simplify]: Simplify (/ 1 1) into 1
20.083 * [backup-simplify]: Simplify (log 1) into 0
20.084 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.084 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.084 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.084 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.084 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
20.084 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
20.085 * [taylor]: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k
20.085 * [taylor]: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k
20.085 * [taylor]: Taking taylor expansion of -1 in k
20.085 * [backup-simplify]: Simplify -1 into -1
20.085 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k
20.085 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.085 * [taylor]: Taking taylor expansion of 1/2 in k
20.085 * [backup-simplify]: Simplify 1/2 into 1/2
20.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.085 * [taylor]: Taking taylor expansion of 1/2 in k
20.085 * [backup-simplify]: Simplify 1/2 into 1/2
20.085 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.085 * [taylor]: Taking taylor expansion of k in k
20.085 * [backup-simplify]: Simplify 0 into 0
20.085 * [backup-simplify]: Simplify 1 into 1
20.085 * [backup-simplify]: Simplify (/ 1 1) into 1
20.085 * [taylor]: Taking taylor expansion of (log n) in k
20.085 * [taylor]: Taking taylor expansion of n in k
20.085 * [backup-simplify]: Simplify n into n
20.085 * [backup-simplify]: Simplify (log n) into (log n)
20.086 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.086 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.087 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.087 * [backup-simplify]: Simplify (* -1/2 (log n)) into (* -1/2 (log n))
20.087 * [backup-simplify]: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n))
20.087 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
20.087 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
20.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
20.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
20.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
20.090 * [backup-simplify]: Simplify (- 0) into 0
20.091 * [backup-simplify]: Simplify (+ 0 0) into 0
20.091 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.091 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
20.092 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.092 * [taylor]: Taking taylor expansion of 0 in k
20.092 * [backup-simplify]: Simplify 0 into 0
20.092 * [backup-simplify]: Simplify 0 into 0
20.092 * [backup-simplify]: Simplify 0 into 0
20.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.096 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
20.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
20.098 * [backup-simplify]: Simplify (- 0) into 0
20.098 * [backup-simplify]: Simplify (+ 0 0) into 0
20.098 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.099 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
20.100 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.100 * [taylor]: Taking taylor expansion of 0 in k
20.100 * [backup-simplify]: Simplify 0 into 0
20.100 * [backup-simplify]: Simplify 0 into 0
20.101 * [backup-simplify]: Simplify 0 into 0
20.101 * [backup-simplify]: Simplify 0 into 0
20.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.107 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
20.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
20.108 * [backup-simplify]: Simplify (- 0) into 0
20.108 * [backup-simplify]: Simplify (+ 0 0) into 0
20.108 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.109 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
20.110 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.110 * [taylor]: Taking taylor expansion of 0 in k
20.110 * [backup-simplify]: Simplify 0 into 0
20.110 * [backup-simplify]: Simplify 0 into 0
20.110 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n)))))
20.110 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (- 1/2 (* 1/2 (/ 1 (- k))))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
20.110 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
20.110 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
20.110 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k
20.110 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k
20.110 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.110 * [taylor]: Taking taylor expansion of 1/2 in k
20.110 * [backup-simplify]: Simplify 1/2 into 1/2
20.110 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.110 * [taylor]: Taking taylor expansion of k in k
20.110 * [backup-simplify]: Simplify 0 into 0
20.110 * [backup-simplify]: Simplify 1 into 1
20.111 * [backup-simplify]: Simplify (/ 1 1) into 1
20.111 * [taylor]: Taking taylor expansion of 1/2 in k
20.111 * [backup-simplify]: Simplify 1/2 into 1/2
20.111 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
20.111 * [taylor]: Taking taylor expansion of (/ -1 n) in k
20.111 * [taylor]: Taking taylor expansion of -1 in k
20.111 * [backup-simplify]: Simplify -1 into -1
20.111 * [taylor]: Taking taylor expansion of n in k
20.111 * [backup-simplify]: Simplify n into n
20.111 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
20.111 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
20.111 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.111 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.111 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
20.112 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
20.112 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.112 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
20.112 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
20.112 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.112 * [taylor]: Taking taylor expansion of 1/2 in n
20.112 * [backup-simplify]: Simplify 1/2 into 1/2
20.112 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.112 * [taylor]: Taking taylor expansion of k in n
20.112 * [backup-simplify]: Simplify k into k
20.112 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.112 * [taylor]: Taking taylor expansion of 1/2 in n
20.112 * [backup-simplify]: Simplify 1/2 into 1/2
20.112 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
20.112 * [taylor]: Taking taylor expansion of (/ -1 n) in n
20.112 * [taylor]: Taking taylor expansion of -1 in n
20.112 * [backup-simplify]: Simplify -1 into -1
20.112 * [taylor]: Taking taylor expansion of n in n
20.112 * [backup-simplify]: Simplify 0 into 0
20.112 * [backup-simplify]: Simplify 1 into 1
20.112 * [backup-simplify]: Simplify (/ -1 1) into -1
20.112 * [backup-simplify]: Simplify (log -1) into (log -1)
20.112 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.112 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.113 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.113 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
20.114 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
20.114 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.114 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
20.114 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
20.114 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.114 * [taylor]: Taking taylor expansion of 1/2 in n
20.114 * [backup-simplify]: Simplify 1/2 into 1/2
20.114 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.114 * [taylor]: Taking taylor expansion of k in n
20.114 * [backup-simplify]: Simplify k into k
20.114 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.114 * [taylor]: Taking taylor expansion of 1/2 in n
20.114 * [backup-simplify]: Simplify 1/2 into 1/2
20.114 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
20.114 * [taylor]: Taking taylor expansion of (/ -1 n) in n
20.114 * [taylor]: Taking taylor expansion of -1 in n
20.114 * [backup-simplify]: Simplify -1 into -1
20.114 * [taylor]: Taking taylor expansion of n in n
20.114 * [backup-simplify]: Simplify 0 into 0
20.114 * [backup-simplify]: Simplify 1 into 1
20.114 * [backup-simplify]: Simplify (/ -1 1) into -1
20.115 * [backup-simplify]: Simplify (log -1) into (log -1)
20.115 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.115 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.115 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.115 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
20.116 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
20.116 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k
20.116 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k
20.116 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.116 * [taylor]: Taking taylor expansion of 1/2 in k
20.116 * [backup-simplify]: Simplify 1/2 into 1/2
20.116 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.116 * [taylor]: Taking taylor expansion of k in k
20.116 * [backup-simplify]: Simplify 0 into 0
20.116 * [backup-simplify]: Simplify 1 into 1
20.116 * [backup-simplify]: Simplify (/ 1 1) into 1
20.116 * [taylor]: Taking taylor expansion of 1/2 in k
20.116 * [backup-simplify]: Simplify 1/2 into 1/2
20.116 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k
20.116 * [taylor]: Taking taylor expansion of (log -1) in k
20.116 * [taylor]: Taking taylor expansion of -1 in k
20.116 * [backup-simplify]: Simplify -1 into -1
20.117 * [backup-simplify]: Simplify (log -1) into (log -1)
20.117 * [taylor]: Taking taylor expansion of (log n) in k
20.117 * [taylor]: Taking taylor expansion of n in k
20.117 * [backup-simplify]: Simplify n into n
20.117 * [backup-simplify]: Simplify (log n) into (log n)
20.117 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.117 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.117 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
20.118 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
20.118 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
20.118 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
20.119 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
20.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
20.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
20.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
20.121 * [backup-simplify]: Simplify (+ 0 0) into 0
20.121 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.121 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0
20.122 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.122 * [taylor]: Taking taylor expansion of 0 in k
20.122 * [backup-simplify]: Simplify 0 into 0
20.122 * [backup-simplify]: Simplify 0 into 0
20.122 * [backup-simplify]: Simplify 0 into 0
20.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
20.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
20.129 * [backup-simplify]: Simplify (+ 0 0) into 0
20.130 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.131 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
20.132 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.132 * [taylor]: Taking taylor expansion of 0 in k
20.132 * [backup-simplify]: Simplify 0 into 0
20.132 * [backup-simplify]: Simplify 0 into 0
20.132 * [backup-simplify]: Simplify 0 into 0
20.132 * [backup-simplify]: Simplify 0 into 0
20.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.137 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
20.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
20.140 * [backup-simplify]: Simplify (+ 0 0) into 0
20.141 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.142 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
20.144 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.144 * [taylor]: Taking taylor expansion of 0 in k
20.144 * [backup-simplify]: Simplify 0 into 0
20.144 * [backup-simplify]: Simplify 0 into 0
20.145 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n)))))
20.145 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
20.145 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 k))) into (pow PI (- 1/2 (* 1/2 k)))
20.145 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
20.145 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
20.145 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
20.145 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
20.145 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.145 * [taylor]: Taking taylor expansion of 1/2 in k
20.145 * [backup-simplify]: Simplify 1/2 into 1/2
20.146 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.146 * [taylor]: Taking taylor expansion of 1/2 in k
20.146 * [backup-simplify]: Simplify 1/2 into 1/2
20.146 * [taylor]: Taking taylor expansion of k in k
20.146 * [backup-simplify]: Simplify 0 into 0
20.146 * [backup-simplify]: Simplify 1 into 1
20.146 * [taylor]: Taking taylor expansion of (log PI) in k
20.146 * [taylor]: Taking taylor expansion of PI in k
20.146 * [backup-simplify]: Simplify PI into PI
20.146 * [backup-simplify]: Simplify (log PI) into (log PI)
20.147 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.147 * [backup-simplify]: Simplify (- 0) into 0
20.148 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.149 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
20.150 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
20.150 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
20.150 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
20.150 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
20.150 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.150 * [taylor]: Taking taylor expansion of 1/2 in k
20.150 * [backup-simplify]: Simplify 1/2 into 1/2
20.151 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.151 * [taylor]: Taking taylor expansion of 1/2 in k
20.151 * [backup-simplify]: Simplify 1/2 into 1/2
20.151 * [taylor]: Taking taylor expansion of k in k
20.151 * [backup-simplify]: Simplify 0 into 0
20.151 * [backup-simplify]: Simplify 1 into 1
20.151 * [taylor]: Taking taylor expansion of (log PI) in k
20.151 * [taylor]: Taking taylor expansion of PI in k
20.151 * [backup-simplify]: Simplify PI into PI
20.151 * [backup-simplify]: Simplify (log PI) into (log PI)
20.152 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.152 * [backup-simplify]: Simplify (- 0) into 0
20.152 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.154 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
20.156 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
20.156 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
20.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
20.159 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.159 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.160 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
20.172 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
20.175 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
20.178 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
20.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
20.179 * [backup-simplify]: Simplify (- 0) into 0
20.180 * [backup-simplify]: Simplify (+ 0 0) into 0
20.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
20.194 * [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)))
20.197 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
20.204 * [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))))
20.204 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
20.204 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
20.204 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
20.204 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
20.204 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
20.204 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.204 * [taylor]: Taking taylor expansion of 1/2 in k
20.204 * [backup-simplify]: Simplify 1/2 into 1/2
20.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.204 * [taylor]: Taking taylor expansion of 1/2 in k
20.204 * [backup-simplify]: Simplify 1/2 into 1/2
20.204 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.204 * [taylor]: Taking taylor expansion of k in k
20.204 * [backup-simplify]: Simplify 0 into 0
20.204 * [backup-simplify]: Simplify 1 into 1
20.205 * [backup-simplify]: Simplify (/ 1 1) into 1
20.205 * [taylor]: Taking taylor expansion of (log PI) in k
20.205 * [taylor]: Taking taylor expansion of PI in k
20.205 * [backup-simplify]: Simplify PI into PI
20.205 * [backup-simplify]: Simplify (log PI) into (log PI)
20.206 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.206 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.206 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.207 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
20.208 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
20.208 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
20.208 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
20.208 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
20.208 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.208 * [taylor]: Taking taylor expansion of 1/2 in k
20.208 * [backup-simplify]: Simplify 1/2 into 1/2
20.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.208 * [taylor]: Taking taylor expansion of 1/2 in k
20.208 * [backup-simplify]: Simplify 1/2 into 1/2
20.208 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.208 * [taylor]: Taking taylor expansion of k in k
20.208 * [backup-simplify]: Simplify 0 into 0
20.208 * [backup-simplify]: Simplify 1 into 1
20.209 * [backup-simplify]: Simplify (/ 1 1) into 1
20.209 * [taylor]: Taking taylor expansion of (log PI) in k
20.209 * [taylor]: Taking taylor expansion of PI in k
20.209 * [backup-simplify]: Simplify PI into PI
20.209 * [backup-simplify]: Simplify (log PI) into (log PI)
20.210 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.210 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.211 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.212 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
20.212 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
20.212 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
20.212 * [backup-simplify]: Simplify 0 into 0
20.212 * [backup-simplify]: Simplify 0 into 0
20.213 * [backup-simplify]: Simplify 0 into 0
20.213 * [backup-simplify]: Simplify 0 into 0
20.213 * [backup-simplify]: Simplify 0 into 0
20.213 * [backup-simplify]: Simplify 0 into 0
20.213 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
20.213 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (- k))))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
20.213 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
20.213 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
20.213 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
20.213 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
20.213 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.213 * [taylor]: Taking taylor expansion of 1/2 in k
20.213 * [backup-simplify]: Simplify 1/2 into 1/2
20.213 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.213 * [taylor]: Taking taylor expansion of k in k
20.213 * [backup-simplify]: Simplify 0 into 0
20.213 * [backup-simplify]: Simplify 1 into 1
20.214 * [backup-simplify]: Simplify (/ 1 1) into 1
20.214 * [taylor]: Taking taylor expansion of 1/2 in k
20.214 * [backup-simplify]: Simplify 1/2 into 1/2
20.214 * [taylor]: Taking taylor expansion of (log PI) in k
20.214 * [taylor]: Taking taylor expansion of PI in k
20.214 * [backup-simplify]: Simplify PI into PI
20.214 * [backup-simplify]: Simplify (log PI) into (log PI)
20.215 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.215 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.216 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
20.217 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
20.217 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
20.217 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
20.217 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
20.217 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.217 * [taylor]: Taking taylor expansion of 1/2 in k
20.217 * [backup-simplify]: Simplify 1/2 into 1/2
20.217 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.217 * [taylor]: Taking taylor expansion of k in k
20.217 * [backup-simplify]: Simplify 0 into 0
20.217 * [backup-simplify]: Simplify 1 into 1
20.217 * [backup-simplify]: Simplify (/ 1 1) into 1
20.217 * [taylor]: Taking taylor expansion of 1/2 in k
20.218 * [backup-simplify]: Simplify 1/2 into 1/2
20.218 * [taylor]: Taking taylor expansion of (log PI) in k
20.218 * [taylor]: Taking taylor expansion of PI in k
20.218 * [backup-simplify]: Simplify PI into PI
20.218 * [backup-simplify]: Simplify (log PI) into (log PI)
20.218 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.219 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.220 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
20.220 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
20.221 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
20.221 * [backup-simplify]: Simplify 0 into 0
20.221 * [backup-simplify]: Simplify 0 into 0
20.221 * [backup-simplify]: Simplify 0 into 0
20.221 * [backup-simplify]: Simplify 0 into 0
20.221 * [backup-simplify]: Simplify 0 into 0
20.221 * [backup-simplify]: Simplify 0 into 0
20.221 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
20.221 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
20.222 * [backup-simplify]: Simplify (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) into (* (sqrt 2) (pow n (- 1/2 (* 1/2 k))))
20.222 * [approximate]: Taking taylor expansion of (* (sqrt 2) (pow n (- 1/2 (* 1/2 k)))) in (n k) around 0
20.222 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow n (- 1/2 (* 1/2 k)))) in k
20.222 * [taylor]: Taking taylor expansion of (sqrt 2) in k
20.222 * [taylor]: Taking taylor expansion of 2 in k
20.222 * [backup-simplify]: Simplify 2 into 2
20.222 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.223 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
20.223 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
20.223 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
20.223 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.223 * [taylor]: Taking taylor expansion of 1/2 in k
20.223 * [backup-simplify]: Simplify 1/2 into 1/2
20.223 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.223 * [taylor]: Taking taylor expansion of 1/2 in k
20.223 * [backup-simplify]: Simplify 1/2 into 1/2
20.223 * [taylor]: Taking taylor expansion of k in k
20.223 * [backup-simplify]: Simplify 0 into 0
20.223 * [backup-simplify]: Simplify 1 into 1
20.223 * [taylor]: Taking taylor expansion of (log n) in k
20.223 * [taylor]: Taking taylor expansion of n in k
20.223 * [backup-simplify]: Simplify n into n
20.223 * [backup-simplify]: Simplify (log n) into (log n)
20.224 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.224 * [backup-simplify]: Simplify (- 0) into 0
20.225 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.225 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
20.225 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
20.225 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow n (- 1/2 (* 1/2 k)))) in n
20.225 * [taylor]: Taking taylor expansion of (sqrt 2) in n
20.225 * [taylor]: Taking taylor expansion of 2 in n
20.225 * [backup-simplify]: Simplify 2 into 2
20.225 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.226 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
20.226 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
20.226 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
20.226 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
20.226 * [taylor]: Taking taylor expansion of 1/2 in n
20.226 * [backup-simplify]: Simplify 1/2 into 1/2
20.226 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
20.226 * [taylor]: Taking taylor expansion of 1/2 in n
20.226 * [backup-simplify]: Simplify 1/2 into 1/2
20.226 * [taylor]: Taking taylor expansion of k in n
20.226 * [backup-simplify]: Simplify k into k
20.226 * [taylor]: Taking taylor expansion of (log n) in n
20.226 * [taylor]: Taking taylor expansion of n in n
20.226 * [backup-simplify]: Simplify 0 into 0
20.226 * [backup-simplify]: Simplify 1 into 1
20.227 * [backup-simplify]: Simplify (log 1) into 0
20.227 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
20.227 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
20.227 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
20.227 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.227 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
20.228 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
20.228 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow n (- 1/2 (* 1/2 k)))) in n
20.228 * [taylor]: Taking taylor expansion of (sqrt 2) in n
20.228 * [taylor]: Taking taylor expansion of 2 in n
20.228 * [backup-simplify]: Simplify 2 into 2
20.228 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.229 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
20.229 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
20.229 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
20.229 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
20.229 * [taylor]: Taking taylor expansion of 1/2 in n
20.229 * [backup-simplify]: Simplify 1/2 into 1/2
20.229 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
20.229 * [taylor]: Taking taylor expansion of 1/2 in n
20.229 * [backup-simplify]: Simplify 1/2 into 1/2
20.229 * [taylor]: Taking taylor expansion of k in n
20.229 * [backup-simplify]: Simplify k into k
20.229 * [taylor]: Taking taylor expansion of (log n) in n
20.229 * [taylor]: Taking taylor expansion of n in n
20.229 * [backup-simplify]: Simplify 0 into 0
20.229 * [backup-simplify]: Simplify 1 into 1
20.229 * [backup-simplify]: Simplify (log 1) into 0
20.229 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
20.230 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
20.230 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
20.230 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.230 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
20.230 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
20.231 * [backup-simplify]: Simplify (* (sqrt 2) (pow n (- 1/2 (* 1/2 k)))) into (* (sqrt 2) (pow n (- 1/2 (* 1/2 k))))
20.231 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow n (- 1/2 (* 1/2 k)))) in k
20.231 * [taylor]: Taking taylor expansion of (sqrt 2) in k
20.231 * [taylor]: Taking taylor expansion of 2 in k
20.231 * [backup-simplify]: Simplify 2 into 2
20.232 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.232 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
20.232 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
20.232 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
20.232 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.232 * [taylor]: Taking taylor expansion of 1/2 in k
20.233 * [backup-simplify]: Simplify 1/2 into 1/2
20.233 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.233 * [taylor]: Taking taylor expansion of 1/2 in k
20.233 * [backup-simplify]: Simplify 1/2 into 1/2
20.233 * [taylor]: Taking taylor expansion of k in k
20.233 * [backup-simplify]: Simplify 0 into 0
20.233 * [backup-simplify]: Simplify 1 into 1
20.233 * [taylor]: Taking taylor expansion of (log n) in k
20.233 * [taylor]: Taking taylor expansion of n in k
20.233 * [backup-simplify]: Simplify n into n
20.233 * [backup-simplify]: Simplify (log n) into (log n)
20.233 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.234 * [backup-simplify]: Simplify (- 0) into 0
20.234 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.234 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
20.234 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
20.235 * [backup-simplify]: Simplify (* (sqrt 2) (pow n 1/2)) into (* (sqrt 2) (sqrt n))
20.235 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt n)) into (* (sqrt 2) (sqrt n))
20.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
20.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
20.237 * [backup-simplify]: Simplify (- 0) into 0
20.238 * [backup-simplify]: Simplify (+ 0 0) into 0
20.238 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.238 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0
20.239 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
20.240 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow n (- 1/2 (* 1/2 k))))) into 0
20.240 * [taylor]: Taking taylor expansion of 0 in k
20.240 * [backup-simplify]: Simplify 0 into 0
20.240 * [backup-simplify]: Simplify 0 into 0
20.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
20.241 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.242 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.242 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n)))
20.243 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
20.244 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* -1/2 (* (sqrt n) (log n)))) (* 0 (pow n 1/2))) into (- (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))))
20.244 * [backup-simplify]: Simplify (- (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n)))) into (- (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))))
20.247 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
20.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
20.248 * [backup-simplify]: Simplify (- 0) into 0
20.249 * [backup-simplify]: Simplify (+ 0 0) into 0
20.249 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.250 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
20.251 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.252 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
20.253 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow n (- 1/2 (* 1/2 k)))))) into 0
20.253 * [taylor]: Taking taylor expansion of 0 in k
20.253 * [backup-simplify]: Simplify 0 into 0
20.253 * [backup-simplify]: Simplify 0 into 0
20.254 * [backup-simplify]: Simplify 0 into 0
20.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
20.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
20.257 * [backup-simplify]: Simplify (- 0) into 0
20.257 * [backup-simplify]: Simplify (+ 0 0) into 0
20.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0
20.259 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
20.260 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
20.261 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* 0 (* -1/2 (* (sqrt n) (log n)))) (* 0 (pow n 1/2)))) into (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n)))
20.262 * [backup-simplify]: Simplify (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) into (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n)))
20.264 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (pow (* k 1) 2)) (+ (* (- (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n)))) (* k 1)) (* (sqrt 2) (sqrt n)))) into (- (+ (* (sqrt 2) (sqrt n)) (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt n)))) (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt n))))
20.264 * [backup-simplify]: Simplify (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt 2)) into (* (sqrt 2) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))
20.264 * [approximate]: Taking taylor expansion of (* (sqrt 2) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
20.264 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
20.264 * [taylor]: Taking taylor expansion of (sqrt 2) in k
20.264 * [taylor]: Taking taylor expansion of 2 in k
20.264 * [backup-simplify]: Simplify 2 into 2
20.265 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.266 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
20.266 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k
20.266 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k
20.266 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.266 * [taylor]: Taking taylor expansion of 1/2 in k
20.266 * [backup-simplify]: Simplify 1/2 into 1/2
20.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.266 * [taylor]: Taking taylor expansion of 1/2 in k
20.266 * [backup-simplify]: Simplify 1/2 into 1/2
20.266 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.266 * [taylor]: Taking taylor expansion of k in k
20.266 * [backup-simplify]: Simplify 0 into 0
20.266 * [backup-simplify]: Simplify 1 into 1
20.266 * [backup-simplify]: Simplify (/ 1 1) into 1
20.266 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
20.266 * [taylor]: Taking taylor expansion of (/ 1 n) in k
20.266 * [taylor]: Taking taylor expansion of n in k
20.266 * [backup-simplify]: Simplify n into n
20.266 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
20.266 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
20.267 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.267 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.268 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.268 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
20.268 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
20.268 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
20.268 * [taylor]: Taking taylor expansion of (sqrt 2) in n
20.268 * [taylor]: Taking taylor expansion of 2 in n
20.268 * [backup-simplify]: Simplify 2 into 2
20.268 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.269 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.269 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
20.269 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
20.269 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.269 * [taylor]: Taking taylor expansion of 1/2 in n
20.269 * [backup-simplify]: Simplify 1/2 into 1/2
20.269 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.269 * [taylor]: Taking taylor expansion of 1/2 in n
20.269 * [backup-simplify]: Simplify 1/2 into 1/2
20.269 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.269 * [taylor]: Taking taylor expansion of k in n
20.269 * [backup-simplify]: Simplify k into k
20.269 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.269 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
20.270 * [taylor]: Taking taylor expansion of (/ 1 n) in n
20.270 * [taylor]: Taking taylor expansion of n in n
20.270 * [backup-simplify]: Simplify 0 into 0
20.270 * [backup-simplify]: Simplify 1 into 1
20.270 * [backup-simplify]: Simplify (/ 1 1) into 1
20.270 * [backup-simplify]: Simplify (log 1) into 0
20.270 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.271 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.271 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.271 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.271 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
20.272 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
20.272 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
20.272 * [taylor]: Taking taylor expansion of (sqrt 2) in n
20.272 * [taylor]: Taking taylor expansion of 2 in n
20.272 * [backup-simplify]: Simplify 2 into 2
20.272 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.279 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.279 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
20.279 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
20.279 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.279 * [taylor]: Taking taylor expansion of 1/2 in n
20.279 * [backup-simplify]: Simplify 1/2 into 1/2
20.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.279 * [taylor]: Taking taylor expansion of 1/2 in n
20.279 * [backup-simplify]: Simplify 1/2 into 1/2
20.279 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.279 * [taylor]: Taking taylor expansion of k in n
20.279 * [backup-simplify]: Simplify k into k
20.279 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.279 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
20.279 * [taylor]: Taking taylor expansion of (/ 1 n) in n
20.279 * [taylor]: Taking taylor expansion of n in n
20.279 * [backup-simplify]: Simplify 0 into 0
20.279 * [backup-simplify]: Simplify 1 into 1
20.280 * [backup-simplify]: Simplify (/ 1 1) into 1
20.280 * [backup-simplify]: Simplify (log 1) into 0
20.280 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.280 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.281 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.281 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.281 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
20.282 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
20.282 * [backup-simplify]: Simplify (* (sqrt 2) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt 2))
20.282 * [taylor]: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt 2)) in k
20.282 * [taylor]: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k
20.282 * [taylor]: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k
20.282 * [taylor]: Taking taylor expansion of -1 in k
20.283 * [backup-simplify]: Simplify -1 into -1
20.283 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k
20.283 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.283 * [taylor]: Taking taylor expansion of 1/2 in k
20.283 * [backup-simplify]: Simplify 1/2 into 1/2
20.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.283 * [taylor]: Taking taylor expansion of 1/2 in k
20.283 * [backup-simplify]: Simplify 1/2 into 1/2
20.283 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.283 * [taylor]: Taking taylor expansion of k in k
20.283 * [backup-simplify]: Simplify 0 into 0
20.283 * [backup-simplify]: Simplify 1 into 1
20.283 * [backup-simplify]: Simplify (/ 1 1) into 1
20.283 * [taylor]: Taking taylor expansion of (log n) in k
20.283 * [taylor]: Taking taylor expansion of n in k
20.283 * [backup-simplify]: Simplify n into n
20.283 * [backup-simplify]: Simplify (log n) into (log n)
20.284 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.284 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.285 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.285 * [backup-simplify]: Simplify (* -1/2 (log n)) into (* -1/2 (log n))
20.285 * [backup-simplify]: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n))
20.285 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
20.285 * [taylor]: Taking taylor expansion of (sqrt 2) in k
20.285 * [taylor]: Taking taylor expansion of 2 in k
20.285 * [backup-simplify]: Simplify 2 into 2
20.285 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.287 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt 2)) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt 2))
20.287 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt 2)) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt 2))
20.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
20.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
20.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
20.291 * [backup-simplify]: Simplify (- 0) into 0
20.291 * [backup-simplify]: Simplify (+ 0 0) into 0
20.291 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.292 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
20.293 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.293 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0
20.293 * [taylor]: Taking taylor expansion of 0 in k
20.293 * [backup-simplify]: Simplify 0 into 0
20.293 * [backup-simplify]: Simplify 0 into 0
20.294 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (sqrt 2))) into 0
20.294 * [backup-simplify]: Simplify 0 into 0
20.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
20.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
20.300 * [backup-simplify]: Simplify (- 0) into 0
20.300 * [backup-simplify]: Simplify (+ 0 0) into 0
20.301 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.301 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
20.303 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.304 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
20.305 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0
20.305 * [taylor]: Taking taylor expansion of 0 in k
20.305 * [backup-simplify]: Simplify 0 into 0
20.305 * [backup-simplify]: Simplify 0 into 0
20.305 * [backup-simplify]: Simplify 0 into 0
20.306 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
20.307 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
20.307 * [backup-simplify]: Simplify 0 into 0
20.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.314 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
20.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
20.316 * [backup-simplify]: Simplify (- 0) into 0
20.318 * [backup-simplify]: Simplify (+ 0 0) into 0
20.318 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.319 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
20.321 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
20.323 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))))) into 0
20.324 * [taylor]: Taking taylor expansion of 0 in k
20.324 * [backup-simplify]: Simplify 0 into 0
20.324 * [backup-simplify]: Simplify 0 into 0
20.324 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (sqrt 2)) into (* (sqrt 2) (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))))
20.325 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (- 1/2 (* 1/2 (/ 1 (- k))))) (sqrt 2)) into (* (sqrt 2) (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)))
20.325 * [approximate]: Taking taylor expansion of (* (sqrt 2) (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0
20.325 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k
20.325 * [taylor]: Taking taylor expansion of (sqrt 2) in k
20.325 * [taylor]: Taking taylor expansion of 2 in k
20.325 * [backup-simplify]: Simplify 2 into 2
20.325 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.326 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
20.326 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k
20.326 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k
20.326 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.326 * [taylor]: Taking taylor expansion of 1/2 in k
20.326 * [backup-simplify]: Simplify 1/2 into 1/2
20.326 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.326 * [taylor]: Taking taylor expansion of k in k
20.327 * [backup-simplify]: Simplify 0 into 0
20.327 * [backup-simplify]: Simplify 1 into 1
20.327 * [backup-simplify]: Simplify (/ 1 1) into 1
20.327 * [taylor]: Taking taylor expansion of 1/2 in k
20.327 * [backup-simplify]: Simplify 1/2 into 1/2
20.327 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
20.327 * [taylor]: Taking taylor expansion of (/ -1 n) in k
20.327 * [taylor]: Taking taylor expansion of -1 in k
20.327 * [backup-simplify]: Simplify -1 into -1
20.327 * [taylor]: Taking taylor expansion of n in k
20.327 * [backup-simplify]: Simplify n into n
20.327 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
20.327 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
20.328 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.328 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.328 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
20.329 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
20.329 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
20.329 * [taylor]: Taking taylor expansion of (sqrt 2) in n
20.329 * [taylor]: Taking taylor expansion of 2 in n
20.329 * [backup-simplify]: Simplify 2 into 2
20.329 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.330 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.330 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
20.330 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
20.330 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.330 * [taylor]: Taking taylor expansion of 1/2 in n
20.330 * [backup-simplify]: Simplify 1/2 into 1/2
20.330 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.330 * [taylor]: Taking taylor expansion of k in n
20.330 * [backup-simplify]: Simplify k into k
20.330 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.330 * [taylor]: Taking taylor expansion of 1/2 in n
20.330 * [backup-simplify]: Simplify 1/2 into 1/2
20.330 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
20.330 * [taylor]: Taking taylor expansion of (/ -1 n) in n
20.330 * [taylor]: Taking taylor expansion of -1 in n
20.330 * [backup-simplify]: Simplify -1 into -1
20.330 * [taylor]: Taking taylor expansion of n in n
20.330 * [backup-simplify]: Simplify 0 into 0
20.330 * [backup-simplify]: Simplify 1 into 1
20.331 * [backup-simplify]: Simplify (/ -1 1) into -1
20.331 * [backup-simplify]: Simplify (log -1) into (log -1)
20.332 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.332 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.333 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.333 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
20.334 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
20.334 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
20.334 * [taylor]: Taking taylor expansion of (sqrt 2) in n
20.334 * [taylor]: Taking taylor expansion of 2 in n
20.334 * [backup-simplify]: Simplify 2 into 2
20.334 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.335 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.335 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
20.335 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
20.335 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.335 * [taylor]: Taking taylor expansion of 1/2 in n
20.335 * [backup-simplify]: Simplify 1/2 into 1/2
20.335 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.335 * [taylor]: Taking taylor expansion of k in n
20.335 * [backup-simplify]: Simplify k into k
20.335 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.335 * [taylor]: Taking taylor expansion of 1/2 in n
20.335 * [backup-simplify]: Simplify 1/2 into 1/2
20.335 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
20.335 * [taylor]: Taking taylor expansion of (/ -1 n) in n
20.335 * [taylor]: Taking taylor expansion of -1 in n
20.335 * [backup-simplify]: Simplify -1 into -1
20.335 * [taylor]: Taking taylor expansion of n in n
20.335 * [backup-simplify]: Simplify 0 into 0
20.336 * [backup-simplify]: Simplify 1 into 1
20.336 * [backup-simplify]: Simplify (/ -1 1) into -1
20.336 * [backup-simplify]: Simplify (log -1) into (log -1)
20.336 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.336 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.337 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.338 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
20.338 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
20.339 * [backup-simplify]: Simplify (* (sqrt 2) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (sqrt 2) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))
20.339 * [taylor]: Taking taylor expansion of (* (sqrt 2) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) in k
20.339 * [taylor]: Taking taylor expansion of (sqrt 2) in k
20.339 * [taylor]: Taking taylor expansion of 2 in k
20.339 * [backup-simplify]: Simplify 2 into 2
20.340 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.340 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k
20.340 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k
20.341 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.341 * [taylor]: Taking taylor expansion of 1/2 in k
20.341 * [backup-simplify]: Simplify 1/2 into 1/2
20.341 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.341 * [taylor]: Taking taylor expansion of k in k
20.341 * [backup-simplify]: Simplify 0 into 0
20.341 * [backup-simplify]: Simplify 1 into 1
20.341 * [backup-simplify]: Simplify (/ 1 1) into 1
20.341 * [taylor]: Taking taylor expansion of 1/2 in k
20.341 * [backup-simplify]: Simplify 1/2 into 1/2
20.341 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k
20.341 * [taylor]: Taking taylor expansion of (log -1) in k
20.341 * [taylor]: Taking taylor expansion of -1 in k
20.341 * [backup-simplify]: Simplify -1 into -1
20.342 * [backup-simplify]: Simplify (log -1) into (log -1)
20.342 * [taylor]: Taking taylor expansion of (log n) in k
20.342 * [taylor]: Taking taylor expansion of n in k
20.342 * [backup-simplify]: Simplify n into n
20.342 * [backup-simplify]: Simplify (log n) into (log n)
20.342 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.343 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.343 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
20.343 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
20.344 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
20.344 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
20.345 * [backup-simplify]: Simplify (* (sqrt 2) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (sqrt 2) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))
20.346 * [backup-simplify]: Simplify (* (sqrt 2) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (sqrt 2) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))
20.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
20.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
20.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
20.349 * [backup-simplify]: Simplify (+ 0 0) into 0
20.350 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.351 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0
20.352 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.353 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into 0
20.353 * [taylor]: Taking taylor expansion of 0 in k
20.353 * [backup-simplify]: Simplify 0 into 0
20.353 * [backup-simplify]: Simplify 0 into 0
20.354 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into 0
20.354 * [backup-simplify]: Simplify 0 into 0
20.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.358 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
20.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
20.360 * [backup-simplify]: Simplify (+ 0 0) into 0
20.361 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.361 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
20.363 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
20.366 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0
20.366 * [taylor]: Taking taylor expansion of 0 in k
20.366 * [backup-simplify]: Simplify 0 into 0
20.366 * [backup-simplify]: Simplify 0 into 0
20.366 * [backup-simplify]: Simplify 0 into 0
20.367 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
20.368 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0
20.368 * [backup-simplify]: Simplify 0 into 0
20.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.375 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
20.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
20.377 * [backup-simplify]: Simplify (+ 0 0) into 0
20.378 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.379 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
20.381 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
20.384 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) into 0
20.384 * [taylor]: Taking taylor expansion of 0 in k
20.384 * [backup-simplify]: Simplify 0 into 0
20.384 * [backup-simplify]: Simplify 0 into 0
20.385 * [backup-simplify]: Simplify (* (sqrt 2) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (sqrt 2))
20.385 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
20.386 * [backup-simplify]: Simplify (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) into (* (sqrt 2) (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))))
20.386 * [approximate]: Taking taylor expansion of (* (sqrt 2) (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in (n k) around 0
20.386 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k
20.386 * [taylor]: Taking taylor expansion of (sqrt 2) in k
20.386 * [taylor]: Taking taylor expansion of 2 in k
20.386 * [backup-simplify]: Simplify 2 into 2
20.387 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.387 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
20.387 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
20.387 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
20.387 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
20.388 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.388 * [taylor]: Taking taylor expansion of 1/2 in k
20.388 * [backup-simplify]: Simplify 1/2 into 1/2
20.388 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.388 * [taylor]: Taking taylor expansion of 1/2 in k
20.388 * [backup-simplify]: Simplify 1/2 into 1/2
20.388 * [taylor]: Taking taylor expansion of k in k
20.388 * [backup-simplify]: Simplify 0 into 0
20.388 * [backup-simplify]: Simplify 1 into 1
20.388 * [taylor]: Taking taylor expansion of (log n) in k
20.388 * [taylor]: Taking taylor expansion of n in k
20.388 * [backup-simplify]: Simplify n into n
20.388 * [backup-simplify]: Simplify (log n) into (log n)
20.388 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.389 * [backup-simplify]: Simplify (- 0) into 0
20.389 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.389 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
20.389 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
20.389 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
20.389 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
20.389 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
20.389 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.389 * [taylor]: Taking taylor expansion of 1/2 in k
20.389 * [backup-simplify]: Simplify 1/2 into 1/2
20.389 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.389 * [taylor]: Taking taylor expansion of 1/2 in k
20.389 * [backup-simplify]: Simplify 1/2 into 1/2
20.390 * [taylor]: Taking taylor expansion of k in k
20.390 * [backup-simplify]: Simplify 0 into 0
20.390 * [backup-simplify]: Simplify 1 into 1
20.390 * [taylor]: Taking taylor expansion of (log PI) in k
20.390 * [taylor]: Taking taylor expansion of PI in k
20.390 * [backup-simplify]: Simplify PI into PI
20.390 * [backup-simplify]: Simplify (log PI) into (log PI)
20.390 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.391 * [backup-simplify]: Simplify (- 0) into 0
20.391 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.392 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
20.394 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
20.394 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n
20.394 * [taylor]: Taking taylor expansion of (sqrt 2) in n
20.394 * [taylor]: Taking taylor expansion of 2 in n
20.394 * [backup-simplify]: Simplify 2 into 2
20.394 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.395 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
20.395 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
20.395 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
20.395 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
20.395 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
20.395 * [taylor]: Taking taylor expansion of 1/2 in n
20.395 * [backup-simplify]: Simplify 1/2 into 1/2
20.395 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
20.395 * [taylor]: Taking taylor expansion of 1/2 in n
20.395 * [backup-simplify]: Simplify 1/2 into 1/2
20.395 * [taylor]: Taking taylor expansion of k in n
20.395 * [backup-simplify]: Simplify k into k
20.395 * [taylor]: Taking taylor expansion of (log n) in n
20.395 * [taylor]: Taking taylor expansion of n in n
20.395 * [backup-simplify]: Simplify 0 into 0
20.395 * [backup-simplify]: Simplify 1 into 1
20.396 * [backup-simplify]: Simplify (log 1) into 0
20.396 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
20.396 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
20.396 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
20.396 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.396 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
20.397 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
20.397 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
20.397 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
20.397 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
20.397 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
20.397 * [taylor]: Taking taylor expansion of 1/2 in n
20.397 * [backup-simplify]: Simplify 1/2 into 1/2
20.397 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
20.397 * [taylor]: Taking taylor expansion of 1/2 in n
20.397 * [backup-simplify]: Simplify 1/2 into 1/2
20.397 * [taylor]: Taking taylor expansion of k in n
20.397 * [backup-simplify]: Simplify k into k
20.397 * [taylor]: Taking taylor expansion of (log PI) in n
20.397 * [taylor]: Taking taylor expansion of PI in n
20.397 * [backup-simplify]: Simplify PI into PI
20.397 * [backup-simplify]: Simplify (log PI) into (log PI)
20.397 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
20.397 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
20.397 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
20.398 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
20.398 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
20.398 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n
20.398 * [taylor]: Taking taylor expansion of (sqrt 2) in n
20.398 * [taylor]: Taking taylor expansion of 2 in n
20.399 * [backup-simplify]: Simplify 2 into 2
20.399 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.400 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
20.400 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n
20.400 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n
20.400 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n
20.400 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
20.400 * [taylor]: Taking taylor expansion of 1/2 in n
20.400 * [backup-simplify]: Simplify 1/2 into 1/2
20.400 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
20.400 * [taylor]: Taking taylor expansion of 1/2 in n
20.400 * [backup-simplify]: Simplify 1/2 into 1/2
20.400 * [taylor]: Taking taylor expansion of k in n
20.400 * [backup-simplify]: Simplify k into k
20.400 * [taylor]: Taking taylor expansion of (log n) in n
20.400 * [taylor]: Taking taylor expansion of n in n
20.400 * [backup-simplify]: Simplify 0 into 0
20.400 * [backup-simplify]: Simplify 1 into 1
20.400 * [backup-simplify]: Simplify (log 1) into 0
20.401 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
20.401 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
20.401 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
20.401 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.401 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n))
20.401 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k)))
20.401 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
20.401 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
20.401 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
20.401 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
20.401 * [taylor]: Taking taylor expansion of 1/2 in n
20.401 * [backup-simplify]: Simplify 1/2 into 1/2
20.401 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
20.402 * [taylor]: Taking taylor expansion of 1/2 in n
20.402 * [backup-simplify]: Simplify 1/2 into 1/2
20.402 * [taylor]: Taking taylor expansion of k in n
20.402 * [backup-simplify]: Simplify k into k
20.402 * [taylor]: Taking taylor expansion of (log PI) in n
20.402 * [taylor]: Taking taylor expansion of PI in n
20.402 * [backup-simplify]: Simplify PI into PI
20.402 * [backup-simplify]: Simplify (log PI) into (log PI)
20.402 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
20.402 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
20.402 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
20.403 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
20.403 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
20.403 * [backup-simplify]: Simplify (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) into (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))
20.404 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) into (* (sqrt 2) (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))))
20.404 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k
20.404 * [taylor]: Taking taylor expansion of (sqrt 2) in k
20.404 * [taylor]: Taking taylor expansion of 2 in k
20.404 * [backup-simplify]: Simplify 2 into 2
20.405 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.405 * [taylor]: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
20.405 * [taylor]: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k
20.405 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k
20.405 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k
20.405 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.405 * [taylor]: Taking taylor expansion of 1/2 in k
20.405 * [backup-simplify]: Simplify 1/2 into 1/2
20.405 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.405 * [taylor]: Taking taylor expansion of 1/2 in k
20.405 * [backup-simplify]: Simplify 1/2 into 1/2
20.405 * [taylor]: Taking taylor expansion of k in k
20.405 * [backup-simplify]: Simplify 0 into 0
20.405 * [backup-simplify]: Simplify 1 into 1
20.405 * [taylor]: Taking taylor expansion of (log n) in k
20.405 * [taylor]: Taking taylor expansion of n in k
20.405 * [backup-simplify]: Simplify n into n
20.406 * [backup-simplify]: Simplify (log n) into (log n)
20.406 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.406 * [backup-simplify]: Simplify (- 0) into 0
20.407 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.407 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n))
20.407 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
20.407 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
20.407 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
20.407 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
20.407 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
20.407 * [taylor]: Taking taylor expansion of 1/2 in k
20.407 * [backup-simplify]: Simplify 1/2 into 1/2
20.407 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
20.407 * [taylor]: Taking taylor expansion of 1/2 in k
20.407 * [backup-simplify]: Simplify 1/2 into 1/2
20.407 * [taylor]: Taking taylor expansion of k in k
20.407 * [backup-simplify]: Simplify 0 into 0
20.407 * [backup-simplify]: Simplify 1 into 1
20.407 * [taylor]: Taking taylor expansion of (log PI) in k
20.407 * [taylor]: Taking taylor expansion of PI in k
20.407 * [backup-simplify]: Simplify PI into PI
20.407 * [backup-simplify]: Simplify (log PI) into (log PI)
20.408 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.408 * [backup-simplify]: Simplify (- 0) into 0
20.409 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.409 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
20.411 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
20.412 * [backup-simplify]: Simplify (* (pow n 1/2) (pow PI 1/2)) into (sqrt (* n PI))
20.412 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (* n PI))) into (* (sqrt 2) (sqrt (* n PI)))
20.412 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt (* n PI))) into (* (sqrt 2) (sqrt (* n PI)))
20.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
20.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
20.415 * [backup-simplify]: Simplify (- 0) into 0
20.415 * [backup-simplify]: Simplify (+ 0 0) into 0
20.416 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
20.417 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
20.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
20.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
20.419 * [backup-simplify]: Simplify (- 0) into 0
20.419 * [backup-simplify]: Simplify (+ 0 0) into 0
20.419 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.420 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0
20.420 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
20.421 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0
20.421 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))))) into 0
20.421 * [taylor]: Taking taylor expansion of 0 in k
20.421 * [backup-simplify]: Simplify 0 into 0
20.421 * [backup-simplify]: Simplify 0 into 0
20.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
20.430 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.430 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.431 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
20.442 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
20.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
20.443 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.444 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.444 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n)))
20.445 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
20.447 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt n) (log n))) (pow PI 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n)))))
20.449 * [backup-simplify]: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n)))))) (* 0 (sqrt (* n PI)))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))
20.451 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))
20.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
20.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
20.455 * [backup-simplify]: Simplify (- 0) into 0
20.455 * [backup-simplify]: Simplify (+ 0 0) into 0
20.455 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
20.456 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.458 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
20.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
20.459 * [backup-simplify]: Simplify (- 0) into 0
20.459 * [backup-simplify]: Simplify (+ 0 0) into 0
20.459 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
20.460 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
20.460 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.461 * [backup-simplify]: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0
20.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
20.462 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))))) into 0
20.462 * [taylor]: Taking taylor expansion of 0 in k
20.462 * [backup-simplify]: Simplify 0 into 0
20.462 * [backup-simplify]: Simplify 0 into 0
20.462 * [backup-simplify]: Simplify 0 into 0
20.464 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
20.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
20.465 * [backup-simplify]: Simplify (- 0) into 0
20.465 * [backup-simplify]: Simplify (+ 0 0) into 0
20.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
20.473 * [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)))
20.474 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
20.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
20.475 * [backup-simplify]: Simplify (- 0) into 0
20.475 * [backup-simplify]: Simplify (+ 0 0) into 0
20.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0
20.477 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
20.484 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2)))))
20.485 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
20.489 * [backup-simplify]: Simplify (+ (* (sqrt 2) (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2)))))) (+ (* 0 (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n)))))) (* 0 (sqrt (* n PI))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* n PI)))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* n PI))))))
20.494 * [backup-simplify]: Simplify (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* n PI)))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* n PI)))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))
20.502 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) (* k 1)) (* (sqrt 2) (sqrt (* n PI))))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (+ (* (sqrt 2) (sqrt (* n PI))) (* 1/4 (* (* (sqrt 2) (* (pow k 2) (* (log PI) (log n)))) (sqrt (* PI n))))))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI))))))
20.503 * [backup-simplify]: Simplify (* (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))
20.503 * [approximate]: Taking taylor expansion of (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in (n k) around 0
20.503 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k
20.503 * [taylor]: Taking taylor expansion of (sqrt 2) in k
20.503 * [taylor]: Taking taylor expansion of 2 in k
20.503 * [backup-simplify]: Simplify 2 into 2
20.503 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.504 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
20.504 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
20.504 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
20.504 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
20.504 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.504 * [taylor]: Taking taylor expansion of 1/2 in k
20.504 * [backup-simplify]: Simplify 1/2 into 1/2
20.504 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.504 * [taylor]: Taking taylor expansion of 1/2 in k
20.504 * [backup-simplify]: Simplify 1/2 into 1/2
20.504 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.504 * [taylor]: Taking taylor expansion of k in k
20.504 * [backup-simplify]: Simplify 0 into 0
20.504 * [backup-simplify]: Simplify 1 into 1
20.505 * [backup-simplify]: Simplify (/ 1 1) into 1
20.505 * [taylor]: Taking taylor expansion of (log PI) in k
20.505 * [taylor]: Taking taylor expansion of PI in k
20.505 * [backup-simplify]: Simplify PI into PI
20.505 * [backup-simplify]: Simplify (log PI) into (log PI)
20.505 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.506 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.506 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.507 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
20.508 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
20.508 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
20.508 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k
20.508 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k
20.508 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.508 * [taylor]: Taking taylor expansion of 1/2 in k
20.508 * [backup-simplify]: Simplify 1/2 into 1/2
20.508 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.508 * [taylor]: Taking taylor expansion of 1/2 in k
20.508 * [backup-simplify]: Simplify 1/2 into 1/2
20.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.508 * [taylor]: Taking taylor expansion of k in k
20.508 * [backup-simplify]: Simplify 0 into 0
20.508 * [backup-simplify]: Simplify 1 into 1
20.509 * [backup-simplify]: Simplify (/ 1 1) into 1
20.509 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
20.509 * [taylor]: Taking taylor expansion of (/ 1 n) in k
20.509 * [taylor]: Taking taylor expansion of n in k
20.509 * [backup-simplify]: Simplify n into n
20.509 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
20.509 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
20.509 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.510 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.510 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.510 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
20.510 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))
20.510 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
20.510 * [taylor]: Taking taylor expansion of (sqrt 2) in n
20.510 * [taylor]: Taking taylor expansion of 2 in n
20.510 * [backup-simplify]: Simplify 2 into 2
20.511 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.511 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
20.512 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
20.512 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
20.512 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
20.512 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.512 * [taylor]: Taking taylor expansion of 1/2 in n
20.512 * [backup-simplify]: Simplify 1/2 into 1/2
20.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.512 * [taylor]: Taking taylor expansion of 1/2 in n
20.512 * [backup-simplify]: Simplify 1/2 into 1/2
20.512 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.512 * [taylor]: Taking taylor expansion of k in n
20.512 * [backup-simplify]: Simplify k into k
20.512 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.512 * [taylor]: Taking taylor expansion of (log PI) in n
20.512 * [taylor]: Taking taylor expansion of PI in n
20.512 * [backup-simplify]: Simplify PI into PI
20.512 * [backup-simplify]: Simplify (log PI) into (log PI)
20.512 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.513 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.513 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.513 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
20.514 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
20.514 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.514 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
20.514 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
20.514 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.514 * [taylor]: Taking taylor expansion of 1/2 in n
20.514 * [backup-simplify]: Simplify 1/2 into 1/2
20.514 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.514 * [taylor]: Taking taylor expansion of 1/2 in n
20.514 * [backup-simplify]: Simplify 1/2 into 1/2
20.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.514 * [taylor]: Taking taylor expansion of k in n
20.514 * [backup-simplify]: Simplify k into k
20.514 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.514 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
20.514 * [taylor]: Taking taylor expansion of (/ 1 n) in n
20.514 * [taylor]: Taking taylor expansion of n in n
20.514 * [backup-simplify]: Simplify 0 into 0
20.514 * [backup-simplify]: Simplify 1 into 1
20.515 * [backup-simplify]: Simplify (/ 1 1) into 1
20.515 * [backup-simplify]: Simplify (log 1) into 0
20.515 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.516 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.516 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.516 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.516 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
20.516 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
20.517 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n
20.517 * [taylor]: Taking taylor expansion of (sqrt 2) in n
20.517 * [taylor]: Taking taylor expansion of 2 in n
20.517 * [backup-simplify]: Simplify 2 into 2
20.517 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.518 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
20.518 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
20.518 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
20.518 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
20.518 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.518 * [taylor]: Taking taylor expansion of 1/2 in n
20.518 * [backup-simplify]: Simplify 1/2 into 1/2
20.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.518 * [taylor]: Taking taylor expansion of 1/2 in n
20.518 * [backup-simplify]: Simplify 1/2 into 1/2
20.518 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.518 * [taylor]: Taking taylor expansion of k in n
20.518 * [backup-simplify]: Simplify k into k
20.518 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.518 * [taylor]: Taking taylor expansion of (log PI) in n
20.518 * [taylor]: Taking taylor expansion of PI in n
20.518 * [backup-simplify]: Simplify PI into PI
20.519 * [backup-simplify]: Simplify (log PI) into (log PI)
20.519 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.519 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.519 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.519 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
20.520 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
20.520 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
20.520 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n
20.520 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n
20.520 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
20.520 * [taylor]: Taking taylor expansion of 1/2 in n
20.520 * [backup-simplify]: Simplify 1/2 into 1/2
20.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.520 * [taylor]: Taking taylor expansion of 1/2 in n
20.520 * [backup-simplify]: Simplify 1/2 into 1/2
20.520 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.520 * [taylor]: Taking taylor expansion of k in n
20.520 * [backup-simplify]: Simplify k into k
20.520 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.520 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
20.520 * [taylor]: Taking taylor expansion of (/ 1 n) in n
20.520 * [taylor]: Taking taylor expansion of n in n
20.520 * [backup-simplify]: Simplify 0 into 0
20.521 * [backup-simplify]: Simplify 1 into 1
20.521 * [backup-simplify]: Simplify (/ 1 1) into 1
20.521 * [backup-simplify]: Simplify (log 1) into 0
20.521 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.521 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
20.522 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
20.522 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.522 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))
20.522 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
20.523 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
20.524 * [backup-simplify]: Simplify (* (sqrt 2) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
20.524 * [taylor]: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in k
20.524 * [taylor]: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k
20.524 * [taylor]: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k
20.524 * [taylor]: Taking taylor expansion of -1 in k
20.524 * [backup-simplify]: Simplify -1 into -1
20.524 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k
20.524 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.524 * [taylor]: Taking taylor expansion of 1/2 in k
20.524 * [backup-simplify]: Simplify 1/2 into 1/2
20.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.524 * [taylor]: Taking taylor expansion of 1/2 in k
20.524 * [backup-simplify]: Simplify 1/2 into 1/2
20.524 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.524 * [taylor]: Taking taylor expansion of k in k
20.524 * [backup-simplify]: Simplify 0 into 0
20.524 * [backup-simplify]: Simplify 1 into 1
20.525 * [backup-simplify]: Simplify (/ 1 1) into 1
20.525 * [taylor]: Taking taylor expansion of (log n) in k
20.525 * [taylor]: Taking taylor expansion of n in k
20.525 * [backup-simplify]: Simplify n into n
20.525 * [backup-simplify]: Simplify (log n) into (log n)
20.525 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.526 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.526 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.526 * [backup-simplify]: Simplify (* -1/2 (log n)) into (* -1/2 (log n))
20.527 * [backup-simplify]: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n))
20.527 * [backup-simplify]: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))
20.527 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k
20.527 * [taylor]: Taking taylor expansion of (sqrt 2) in k
20.527 * [taylor]: Taking taylor expansion of 2 in k
20.527 * [backup-simplify]: Simplify 2 into 2
20.527 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.528 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
20.528 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
20.528 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
20.528 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
20.528 * [taylor]: Taking taylor expansion of 1/2 in k
20.528 * [backup-simplify]: Simplify 1/2 into 1/2
20.528 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.529 * [taylor]: Taking taylor expansion of 1/2 in k
20.529 * [backup-simplify]: Simplify 1/2 into 1/2
20.529 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.529 * [taylor]: Taking taylor expansion of k in k
20.529 * [backup-simplify]: Simplify 0 into 0
20.529 * [backup-simplify]: Simplify 1 into 1
20.529 * [backup-simplify]: Simplify (/ 1 1) into 1
20.529 * [taylor]: Taking taylor expansion of (log PI) in k
20.529 * [taylor]: Taking taylor expansion of PI in k
20.529 * [backup-simplify]: Simplify PI into PI
20.530 * [backup-simplify]: Simplify (log PI) into (log PI)
20.530 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.531 * [backup-simplify]: Simplify (- 1/2) into -1/2
20.531 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
20.532 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
20.533 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
20.533 * [backup-simplify]: Simplify (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
20.534 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
20.535 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
20.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
20.537 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
20.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
20.538 * [backup-simplify]: Simplify (- 0) into 0
20.538 * [backup-simplify]: Simplify (+ 0 0) into 0
20.539 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.539 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
20.539 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.540 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
20.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.541 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
20.541 * [backup-simplify]: Simplify (- 0) into 0
20.541 * [backup-simplify]: Simplify (+ 0 0) into 0
20.541 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
20.542 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
20.542 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0
20.543 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
20.543 * [taylor]: Taking taylor expansion of 0 in k
20.543 * [backup-simplify]: Simplify 0 into 0
20.543 * [backup-simplify]: Simplify 0 into 0
20.544 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0
20.544 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
20.544 * [backup-simplify]: Simplify 0 into 0
20.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.546 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
20.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
20.547 * [backup-simplify]: Simplify (- 0) into 0
20.547 * [backup-simplify]: Simplify (+ 0 0) into 0
20.548 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.548 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
20.553 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.555 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
20.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
20.556 * [backup-simplify]: Simplify (- 0) into 0
20.556 * [backup-simplify]: Simplify (+ 0 0) into 0
20.557 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
20.558 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.559 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0
20.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
20.560 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
20.560 * [taylor]: Taking taylor expansion of 0 in k
20.560 * [backup-simplify]: Simplify 0 into 0
20.560 * [backup-simplify]: Simplify 0 into 0
20.560 * [backup-simplify]: Simplify 0 into 0
20.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
20.561 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
20.562 * [backup-simplify]: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
20.562 * [backup-simplify]: Simplify 0 into 0
20.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.566 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
20.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
20.567 * [backup-simplify]: Simplify (- 0) into 0
20.568 * [backup-simplify]: Simplify (+ 0 0) into 0
20.568 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
20.569 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
20.571 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.576 * [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
20.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
20.578 * [backup-simplify]: Simplify (- 0) into 0
20.579 * [backup-simplify]: Simplify (+ 0 0) into 0
20.580 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
20.582 * [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
20.583 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))))) into 0
20.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
20.586 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) into 0
20.586 * [taylor]: Taking taylor expansion of 0 in k
20.586 * [backup-simplify]: Simplify 0 into 0
20.586 * [backup-simplify]: Simplify 0 into 0
20.587 * [backup-simplify]: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) into (* (sqrt 2) (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))))
20.588 * [backup-simplify]: Simplify (* (* (pow (/ 1 (- n)) (- 1/2 (* 1/2 (/ 1 (- k))))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 (/ 1 (- k)))))) into (* (sqrt 2) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
20.588 * [approximate]: Taking taylor expansion of (* (sqrt 2) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in (n k) around 0
20.588 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k
20.588 * [taylor]: Taking taylor expansion of (sqrt 2) in k
20.588 * [taylor]: Taking taylor expansion of 2 in k
20.588 * [backup-simplify]: Simplify 2 into 2
20.588 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.589 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
20.589 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
20.589 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k
20.589 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k
20.589 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.589 * [taylor]: Taking taylor expansion of 1/2 in k
20.589 * [backup-simplify]: Simplify 1/2 into 1/2
20.589 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.589 * [taylor]: Taking taylor expansion of k in k
20.589 * [backup-simplify]: Simplify 0 into 0
20.589 * [backup-simplify]: Simplify 1 into 1
20.590 * [backup-simplify]: Simplify (/ 1 1) into 1
20.590 * [taylor]: Taking taylor expansion of 1/2 in k
20.590 * [backup-simplify]: Simplify 1/2 into 1/2
20.590 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
20.590 * [taylor]: Taking taylor expansion of (/ -1 n) in k
20.590 * [taylor]: Taking taylor expansion of -1 in k
20.590 * [backup-simplify]: Simplify -1 into -1
20.590 * [taylor]: Taking taylor expansion of n in k
20.590 * [backup-simplify]: Simplify n into n
20.590 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
20.590 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
20.591 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.591 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.591 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
20.591 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))
20.591 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
20.591 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
20.591 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
20.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.591 * [taylor]: Taking taylor expansion of 1/2 in k
20.591 * [backup-simplify]: Simplify 1/2 into 1/2
20.591 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.591 * [taylor]: Taking taylor expansion of k in k
20.592 * [backup-simplify]: Simplify 0 into 0
20.592 * [backup-simplify]: Simplify 1 into 1
20.592 * [backup-simplify]: Simplify (/ 1 1) into 1
20.592 * [taylor]: Taking taylor expansion of 1/2 in k
20.592 * [backup-simplify]: Simplify 1/2 into 1/2
20.592 * [taylor]: Taking taylor expansion of (log PI) in k
20.592 * [taylor]: Taking taylor expansion of PI in k
20.592 * [backup-simplify]: Simplify PI into PI
20.592 * [backup-simplify]: Simplify (log PI) into (log PI)
20.593 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.593 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.594 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
20.595 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
20.595 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
20.595 * [taylor]: Taking taylor expansion of (sqrt 2) in n
20.595 * [taylor]: Taking taylor expansion of 2 in n
20.595 * [backup-simplify]: Simplify 2 into 2
20.595 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.595 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
20.595 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.595 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
20.595 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
20.595 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.596 * [taylor]: Taking taylor expansion of 1/2 in n
20.596 * [backup-simplify]: Simplify 1/2 into 1/2
20.596 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.596 * [taylor]: Taking taylor expansion of k in n
20.596 * [backup-simplify]: Simplify k into k
20.596 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.596 * [taylor]: Taking taylor expansion of 1/2 in n
20.596 * [backup-simplify]: Simplify 1/2 into 1/2
20.596 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
20.596 * [taylor]: Taking taylor expansion of (/ -1 n) in n
20.596 * [taylor]: Taking taylor expansion of -1 in n
20.596 * [backup-simplify]: Simplify -1 into -1
20.596 * [taylor]: Taking taylor expansion of n in n
20.596 * [backup-simplify]: Simplify 0 into 0
20.596 * [backup-simplify]: Simplify 1 into 1
20.596 * [backup-simplify]: Simplify (/ -1 1) into -1
20.596 * [backup-simplify]: Simplify (log -1) into (log -1)
20.596 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.596 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.597 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.597 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
20.598 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
20.598 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.598 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
20.598 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
20.598 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.598 * [taylor]: Taking taylor expansion of 1/2 in n
20.598 * [backup-simplify]: Simplify 1/2 into 1/2
20.598 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.598 * [taylor]: Taking taylor expansion of k in n
20.598 * [backup-simplify]: Simplify k into k
20.598 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.598 * [taylor]: Taking taylor expansion of 1/2 in n
20.598 * [backup-simplify]: Simplify 1/2 into 1/2
20.598 * [taylor]: Taking taylor expansion of (log PI) in n
20.598 * [taylor]: Taking taylor expansion of PI in n
20.598 * [backup-simplify]: Simplify PI into PI
20.598 * [backup-simplify]: Simplify (log PI) into (log PI)
20.598 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.598 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.599 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
20.599 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
20.599 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n
20.599 * [taylor]: Taking taylor expansion of (sqrt 2) in n
20.599 * [taylor]: Taking taylor expansion of 2 in n
20.599 * [backup-simplify]: Simplify 2 into 2
20.599 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.600 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
20.600 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.600 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n
20.600 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n
20.600 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.600 * [taylor]: Taking taylor expansion of 1/2 in n
20.600 * [backup-simplify]: Simplify 1/2 into 1/2
20.600 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.600 * [taylor]: Taking taylor expansion of k in n
20.600 * [backup-simplify]: Simplify k into k
20.600 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.600 * [taylor]: Taking taylor expansion of 1/2 in n
20.600 * [backup-simplify]: Simplify 1/2 into 1/2
20.600 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
20.600 * [taylor]: Taking taylor expansion of (/ -1 n) in n
20.600 * [taylor]: Taking taylor expansion of -1 in n
20.600 * [backup-simplify]: Simplify -1 into -1
20.600 * [taylor]: Taking taylor expansion of n in n
20.600 * [backup-simplify]: Simplify 0 into 0
20.600 * [backup-simplify]: Simplify 1 into 1
20.600 * [backup-simplify]: Simplify (/ -1 1) into -1
20.601 * [backup-simplify]: Simplify (log -1) into (log -1)
20.601 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.601 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.601 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.601 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))
20.602 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
20.602 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
20.602 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
20.602 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
20.602 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
20.602 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
20.602 * [taylor]: Taking taylor expansion of 1/2 in n
20.602 * [backup-simplify]: Simplify 1/2 into 1/2
20.602 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.602 * [taylor]: Taking taylor expansion of k in n
20.602 * [backup-simplify]: Simplify k into k
20.602 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.602 * [taylor]: Taking taylor expansion of 1/2 in n
20.602 * [backup-simplify]: Simplify 1/2 into 1/2
20.602 * [taylor]: Taking taylor expansion of (log PI) in n
20.602 * [taylor]: Taking taylor expansion of PI in n
20.602 * [backup-simplify]: Simplify PI into PI
20.602 * [backup-simplify]: Simplify (log PI) into (log PI)
20.602 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
20.603 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
20.603 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
20.603 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
20.604 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
20.604 * [backup-simplify]: Simplify (* (sqrt 2) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (sqrt 2) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
20.604 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k
20.604 * [taylor]: Taking taylor expansion of (sqrt 2) in k
20.604 * [taylor]: Taking taylor expansion of 2 in k
20.604 * [backup-simplify]: Simplify 2 into 2
20.605 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
20.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
20.605 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
20.605 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k
20.605 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k
20.605 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.605 * [taylor]: Taking taylor expansion of 1/2 in k
20.605 * [backup-simplify]: Simplify 1/2 into 1/2
20.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.605 * [taylor]: Taking taylor expansion of k in k
20.605 * [backup-simplify]: Simplify 0 into 0
20.605 * [backup-simplify]: Simplify 1 into 1
20.605 * [backup-simplify]: Simplify (/ 1 1) into 1
20.605 * [taylor]: Taking taylor expansion of 1/2 in k
20.606 * [backup-simplify]: Simplify 1/2 into 1/2
20.606 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k
20.606 * [taylor]: Taking taylor expansion of (log -1) in k
20.606 * [taylor]: Taking taylor expansion of -1 in k
20.606 * [backup-simplify]: Simplify -1 into -1
20.606 * [backup-simplify]: Simplify (log -1) into (log -1)
20.606 * [taylor]: Taking taylor expansion of (log n) in k
20.606 * [taylor]: Taking taylor expansion of n in k
20.606 * [backup-simplify]: Simplify n into n
20.606 * [backup-simplify]: Simplify (log n) into (log n)
20.606 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.606 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.607 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
20.607 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
20.607 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
20.607 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))
20.607 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
20.607 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
20.607 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
20.607 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
20.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
20.607 * [taylor]: Taking taylor expansion of 1/2 in k
20.608 * [backup-simplify]: Simplify 1/2 into 1/2
20.608 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.608 * [taylor]: Taking taylor expansion of k in k
20.608 * [backup-simplify]: Simplify 0 into 0
20.608 * [backup-simplify]: Simplify 1 into 1
20.608 * [backup-simplify]: Simplify (/ 1 1) into 1
20.608 * [taylor]: Taking taylor expansion of 1/2 in k
20.608 * [backup-simplify]: Simplify 1/2 into 1/2
20.608 * [taylor]: Taking taylor expansion of (log PI) in k
20.608 * [taylor]: Taking taylor expansion of PI in k
20.608 * [backup-simplify]: Simplify PI into PI
20.608 * [backup-simplify]: Simplify (log PI) into (log PI)
20.608 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
20.609 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
20.609 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
20.610 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
20.610 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
20.611 * [backup-simplify]: Simplify (* (sqrt 2) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (sqrt 2) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
20.612 * [backup-simplify]: Simplify (* (sqrt 2) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (sqrt 2) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
20.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
20.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
20.613 * [backup-simplify]: Simplify (+ 0 0) into 0
20.613 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
20.614 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
20.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
20.616 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
20.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
20.616 * [backup-simplify]: Simplify (+ 0 0) into 0
20.617 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.617 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0
20.618 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
20.618 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
20.619 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
20.619 * [taylor]: Taking taylor expansion of 0 in k
20.619 * [backup-simplify]: Simplify 0 into 0
20.619 * [backup-simplify]: Simplify 0 into 0
20.620 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
20.620 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
20.621 * [backup-simplify]: Simplify 0 into 0
20.622 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
20.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
20.624 * [backup-simplify]: Simplify (+ 0 0) into 0
20.625 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
20.627 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.631 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
20.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
20.632 * [backup-simplify]: Simplify (+ 0 0) into 0
20.632 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.633 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
20.634 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.635 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
20.635 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
20.636 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
20.636 * [taylor]: Taking taylor expansion of 0 in k
20.636 * [backup-simplify]: Simplify 0 into 0
20.636 * [backup-simplify]: Simplify 0 into 0
20.636 * [backup-simplify]: Simplify 0 into 0
20.637 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
20.638 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
20.639 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
20.639 * [backup-simplify]: Simplify 0 into 0
20.642 * [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
20.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
20.643 * [backup-simplify]: Simplify (+ 0 0) into 0
20.644 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
20.645 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.648 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
20.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
20.649 * [backup-simplify]: Simplify (+ 0 0) into 0
20.650 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
20.651 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
20.652 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.653 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
20.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
20.655 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0
20.655 * [taylor]: Taking taylor expansion of 0 in k
20.655 * [backup-simplify]: Simplify 0 into 0
20.655 * [backup-simplify]: Simplify 0 into 0
20.662 * [backup-simplify]: Simplify (* (sqrt 2) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 k)))))
20.662 * * * [progress]: simplifying candidates
20.662 * * * * [progress]: [ 1 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (exp (* (log n) (- 1/2 (* 1/2 k)))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.662 * * * * [progress]: [ 2 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (exp (* (log n) (- 1/2 (* 1/2 k)))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.662 * * * * [progress]: [ 3 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (* 1 (- 1/2 (* 1/2 k)))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 4 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (/ (pow n 1/2) (pow n (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 5 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (pow n (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k))))) (cbrt (- 1/2 (* 1/2 k)))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 6 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (pow n (sqrt (- 1/2 (* 1/2 k)))) (sqrt (- 1/2 (* 1/2 k)))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 7 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (pow n 1) (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 8 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n 1/2) (pow n (- (* 1/2 k)))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 9 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n 1/2) (pow n (- (* 1/2 k)))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 10 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow (* (cbrt n) (cbrt n)) (- 1/2 (* 1/2 k))) (pow (cbrt n) (- 1/2 (* 1/2 k)))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 11 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (pow (sqrt n) (- 1/2 (* 1/2 k)))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 12 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow 1 (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 13 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (pow n (- 1/2 (* 1/2 k))) 1) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 14 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (exp (log (pow n (- 1/2 (* 1/2 k))))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 15 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (log (exp (pow n (- 1/2 (* 1/2 k))))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 16 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))) (cbrt (pow n (- 1/2 (* 1/2 k))))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 17 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k))))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.663 * * * * [progress]: [ 18 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt (pow n (- 1/2 (* 1/2 k))))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 19 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* 1 (pow n (- 1/2 (* 1/2 k)))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 20 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (pow n (/ (- 1/2 (* 1/2 k)) 2))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 21 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (posit16->real (real->posit16 (pow n (- 1/2 (* 1/2 k))))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 22 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (exp (* (log PI) (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 23 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (exp (* (log PI) (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 24 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (* 1 (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 25 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (/ (pow PI 1/2) (pow PI (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 26 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow (pow PI (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k))))) (cbrt (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 27 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow (pow PI (sqrt (- 1/2 (* 1/2 k)))) (sqrt (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 28 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow (pow PI 1) (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 29 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (pow PI 1/2) (pow PI (- (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 30 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (pow PI 1/2) (pow PI (- (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 31 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))) (pow (cbrt PI) (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 32 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (pow (sqrt PI) (- 1/2 (* 1/2 k))) (pow (sqrt PI) (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.664 * * * * [progress]: [ 33 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (pow 1 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 34 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow (pow PI (- 1/2 (* 1/2 k))) 1)) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 35 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (exp (log (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 36 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (log (exp (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 37 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 38 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (cbrt (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 39 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 40 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* 1 (pow PI (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 41 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (pow PI (/ (- 1/2 (* 1/2 k)) 2)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 42 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (posit16->real (real->posit16 (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 43 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) 1) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 44 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 45 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 46 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (+ (log (pow n (- 1/2 (* 1/2 k)))) (log (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 47 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (log (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 48 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (log (exp (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.665 * * * * [progress]: [ 49 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (* (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 50 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (cbrt (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))) (cbrt (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 51 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 52 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (sqrt (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 53 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 54 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (sqrt (sqrt 2))) (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (sqrt (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 55 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (sqrt (sqrt 2))) (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (sqrt (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 56 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt (sqrt 2))) (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 57 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt (sqrt 2))) (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 58 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt 2))) (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 59 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt 2))) (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 60 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 61 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (cbrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 62 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.666 * * * * [progress]: [ 63 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 1)) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 64 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 65 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) 1) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 66 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n 1/2) (* (pow n (- (* 1/2 k))) (sqrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 67 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n 1/2) (* (pow n (- (* 1/2 k))) (sqrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 68 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* (cbrt n) (cbrt n)) (- 1/2 (* 1/2 k))) (* (pow (cbrt n) (- 1/2 (* 1/2 k))) (sqrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 69 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (sqrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 70 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow 1 (- 1/2 (* 1/2 k))) (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 71 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k))))) (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (sqrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 72 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 73 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 74 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (sqrt 2))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 75 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (* (pow n 1/2) (sqrt 2)) (pow n (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 76 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (posit16->real (real->posit16 (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 77 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt 2) (pow n (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 78 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) 1) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.667 * * * * [progress]: [ 79 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 80 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 81 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2))) (log (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 82 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 83 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 84 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2))) (log (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 85 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (+ (log (pow n (- 1/2 (* 1/2 k)))) (log (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 86 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (+ (log (pow n (- 1/2 (* 1/2 k)))) (log (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 87 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (+ (log (pow n (- 1/2 (* 1/2 k)))) (log (sqrt 2))) (log (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 88 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 89 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 90 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (log (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 91 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 92 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 93 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 94 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.668 * * * * [progress]: [ 95 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k))))) (cbrt (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))) (cbrt (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 96 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k))))) (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 97 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 98 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (* (pow n 1/2) (sqrt 2)) (pow PI 1/2)) (* (pow n (* 1/2 k)) (pow PI (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 99 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 100 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI 1/2)) (pow PI (- (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 101 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI 1/2)) (pow PI (- (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 102 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))) (pow (cbrt PI) (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 103 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (pow (sqrt PI) (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 104 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow 1 (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 105 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))) (cbrt (pow PI (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 106 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (sqrt (pow PI (- 1/2 (* 1/2 k))))) (sqrt (pow PI (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 107 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) 1) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 108 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (pow PI (/ (- 1/2 (* 1/2 k)) 2))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 109 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (* 1/2 k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.669 * * * * [progress]: [ 110 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI 1/2)) (pow PI (* 1/2 k))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 111 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (* (pow n 1/2) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (pow n (* 1/2 k))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 112 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 113 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow PI (- 1/2 (* 1/2 k))) (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 114 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 115 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 116 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 117 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 118 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 119 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 120 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (- (+ (* (sqrt 2) (sqrt n)) (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt n)))) (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt n)))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 121 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt 2) (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n)))))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 122 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 123 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (+ (* (sqrt 2) (sqrt (* n PI))) (* 1/4 (* (* (sqrt 2) (* (pow k 2) (* (log PI) (log n)))) (sqrt (* PI n))))))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 124 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt 2) (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.670 * * * * [progress]: [ 125 / 125 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 k))))) (* (pow 2 (* 1/2 k)) (sqrt k))))>
20.672 * [simplify]: Simplifying:
  (* (log n) (- 1/2 (* 1/2 k)))
  (* (log n) (- 1/2 (* 1/2 k)))
  (* 1 (- 1/2 (* 1/2 k)))
  (pow n 1/2)
  (pow n (* 1/2 k))
  (pow n (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow n (sqrt (- 1/2 (* 1/2 k))))
  (pow n 1)
  (pow n 1/2)
  (pow n (- (* 1/2 k)))
  (pow n 1/2)
  (pow n (- (* 1/2 k)))
  (pow (* (cbrt n) (cbrt n)) (- 1/2 (* 1/2 k)))
  (pow (cbrt n) (- 1/2 (* 1/2 k)))
  (pow (sqrt n) (- 1/2 (* 1/2 k)))
  (pow (sqrt n) (- 1/2 (* 1/2 k)))
  (pow 1 (- 1/2 (* 1/2 k)))
  (pow n (- 1/2 (* 1/2 k)))
  (log (pow n (- 1/2 (* 1/2 k))))
  (exp (pow n (- 1/2 (* 1/2 k))))
  (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (cbrt (pow n (- 1/2 (* 1/2 k)))))
  (cbrt (pow n (- 1/2 (* 1/2 k))))
  (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k))))
  (sqrt (pow n (- 1/2 (* 1/2 k))))
  (sqrt (pow n (- 1/2 (* 1/2 k))))
  (pow n (/ (- 1/2 (* 1/2 k)) 2))
  (pow n (/ (- 1/2 (* 1/2 k)) 2))
  (real->posit16 (pow n (- 1/2 (* 1/2 k))))
  (* (log PI) (- 1/2 (* 1/2 k)))
  (* (log PI) (- 1/2 (* 1/2 k)))
  (* 1 (- 1/2 (* 1/2 k)))
  (pow PI 1/2)
  (pow PI (* 1/2 k))
  (pow PI (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k)))))
  (pow PI (sqrt (- 1/2 (* 1/2 k))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (- (* 1/2 k)))
  (pow PI 1/2)
  (pow PI (- (* 1/2 k)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k)))
  (pow (cbrt PI) (- 1/2 (* 1/2 k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  (pow (sqrt PI) (- 1/2 (* 1/2 k)))
  (pow 1 (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (log (pow PI (- 1/2 (* 1/2 k))))
  (exp (pow PI (- 1/2 (* 1/2 k))))
  (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k)))))
  (cbrt (pow PI (- 1/2 (* 1/2 k))))
  (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (pow PI (/ (- 1/2 (* 1/2 k)) 2))
  (pow PI (/ (- 1/2 (* 1/2 k)) 2))
  (real->posit16 (pow PI (- 1/2 (* 1/2 k))))
  (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2)))
  (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2)))
  (+ (log (pow n (- 1/2 (* 1/2 k)))) (log (sqrt 2)))
  (log (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))
  (exp (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))
  (* (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))
  (* (cbrt (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (cbrt (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))))
  (cbrt (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))
  (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))
  (sqrt (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))
  (sqrt (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))
  (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (sqrt (sqrt 2)))
  (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (sqrt (sqrt 2)))
  (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (sqrt (sqrt 2)))
  (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (sqrt (sqrt 2)))
  (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt (sqrt 2)))
  (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt (sqrt 2)))
  (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt (sqrt 2)))
  (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt (sqrt 2)))
  (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt 2)))
  (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt 2)))
  (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt 2)))
  (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt 2)))
  (* (pow n (- 1/2 (* 1/2 k))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
  (* (pow n (- 1/2 (* 1/2 k))) (sqrt (* (cbrt 2) (cbrt 2))))
  (* (pow n (- 1/2 (* 1/2 k))) (sqrt (sqrt 2)))
  (* (pow n (- 1/2 (* 1/2 k))) (sqrt 1))
  (* (pow n (- 1/2 (* 1/2 k))) (sqrt (sqrt 2)))
  (* (pow n (- 1/2 (* 1/2 k))) 1)
  (* (pow n (- (* 1/2 k))) (sqrt 2))
  (* (pow n (- (* 1/2 k))) (sqrt 2))
  (* (pow (cbrt n) (- 1/2 (* 1/2 k))) (sqrt 2))
  (* (pow (sqrt n) (- 1/2 (* 1/2 k))) (sqrt 2))
  (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))
  (* (cbrt (pow n (- 1/2 (* 1/2 k)))) (sqrt 2))
  (* (sqrt (pow n (- 1/2 (* 1/2 k)))) (sqrt 2))
  (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))
  (* (pow n (/ (- 1/2 (* 1/2 k)) 2)) (sqrt 2))
  (* (pow n 1/2) (sqrt 2))
  (real->posit16 (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)))
  (+ (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))
  (+ (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))
  (+ (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2))) (log (pow PI (- 1/2 (* 1/2 k)))))
  (+ (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))
  (+ (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))
  (+ (+ (* (log n) (- 1/2 (* 1/2 k))) (log (sqrt 2))) (log (pow PI (- 1/2 (* 1/2 k)))))
  (+ (+ (log (pow n (- 1/2 (* 1/2 k)))) (log (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))
  (+ (+ (log (pow n (- 1/2 (* 1/2 k)))) (log (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))
  (+ (+ (log (pow n (- 1/2 (* 1/2 k)))) (log (sqrt 2))) (log (pow PI (- 1/2 (* 1/2 k)))))
  (+ (log (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))
  (+ (log (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (* (log PI) (- 1/2 (* 1/2 k))))
  (+ (log (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (log (pow PI (- 1/2 (* 1/2 k)))))
  (log (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))
  (exp (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))
  (* (* (* (* (pow n (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (pow n (- 1/2 (* 1/2 k)))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))
  (* (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2))) (* (* (pow PI (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))
  (* (cbrt (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k))))) (cbrt (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k))))))
  (cbrt (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))
  (* (* (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k))))) (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))
  (sqrt (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))
  (sqrt (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))
  (* (* (pow n 1/2) (sqrt 2)) (pow PI 1/2))
  (* (pow n (* 1/2 k)) (pow PI (* 1/2 k)))
  (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI 1/2))
  (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI 1/2))
  (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* 1/2 k))))
  (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow (sqrt PI) (- 1/2 (* 1/2 k))))
  (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow 1 (- 1/2 (* 1/2 k))))
  (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (* (cbrt (pow PI (- 1/2 (* 1/2 k)))) (cbrt (pow PI (- 1/2 (* 1/2 k))))))
  (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (sqrt (pow PI (- 1/2 (* 1/2 k)))))
  (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) 1)
  (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (/ (- 1/2 (* 1/2 k)) 2)))
  (* (sqrt 2) (pow PI (- 1/2 (* 1/2 k))))
  (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI 1/2))
  (* (* (pow n 1/2) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k))))
  (real->posit16 (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))))
  (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
  (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n)))))
  (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (* (sqrt 2) (sqrt n)) (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt n)))) (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt n))))
  (* (sqrt 2) (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))))
  (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (sqrt 2))
  (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (+ (* (sqrt 2) (sqrt (* n PI))) (* 1/4 (* (* (sqrt 2) (* (pow k 2) (* (log PI) (log n)))) (sqrt (* PI n))))))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI))))))
  (* (sqrt 2) (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))))
  (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 k)))))
20.676 * * [simplify]: iteration 0: 203 enodes
20.772 * * [simplify]: iteration 1: 578 enodes
21.068 * * [simplify]: iteration 2: 2040 enodes
21.811 * * [simplify]: iteration complete: 5003 enodes
21.811 * * [simplify]: Extracting #0: cost 86 inf + 0
21.813 * * [simplify]: Extracting #1: cost 558 inf + 44
21.827 * * [simplify]: Extracting #2: cost 1282 inf + 2516
21.836 * * [simplify]: Extracting #3: cost 1692 inf + 20362
21.856 * * [simplify]: Extracting #4: cost 1222 inf + 135099
21.917 * * [simplify]: Extracting #5: cost 448 inf + 423270
22.083 * * [simplify]: Extracting #6: cost 42 inf + 637493
22.208 * * [simplify]: Extracting #7: cost 0 inf + 658568
22.368 * * [simplify]: Extracting #8: cost 0 inf + 657375
22.493 * [simplify]: Simplified to:
  (* (- 1/2 (* k 1/2)) (log n))
  (* (- 1/2 (* k 1/2)) (log n))
  (- 1/2 (* k 1/2))
  (sqrt n)
  (pow n (* k 1/2))
  (pow n (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2)))))
  (pow n (sqrt (- 1/2 (* k 1/2))))
  n
  (sqrt n)
  (pow n (* -1/2 k))
  (sqrt n)
  (pow n (* -1/2 k))
  (pow (* (cbrt n) (cbrt n)) (- 1/2 (* k 1/2)))
  (pow (cbrt n) (- 1/2 (* k 1/2)))
  (pow (sqrt n) (- 1/2 (* k 1/2)))
  (pow (sqrt n) (- 1/2 (* k 1/2)))
  1
  (pow n (- 1/2 (* k 1/2)))
  (* (- 1/2 (* k 1/2)) (log n))
  (exp (pow n (- 1/2 (* k 1/2))))
  (* (cbrt (pow n (- 1/2 (* k 1/2)))) (cbrt (pow n (- 1/2 (* k 1/2)))))
  (cbrt (pow n (- 1/2 (* k 1/2))))
  (* (pow n (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2)))))
  (sqrt (pow n (- 1/2 (* k 1/2))))
  (sqrt (pow n (- 1/2 (* k 1/2))))
  (pow n (- 1/4 (/ k 4)))
  (pow n (- 1/4 (/ k 4)))
  (real->posit16 (pow n (- 1/2 (* k 1/2))))
  (* (log PI) (- 1/2 (* k 1/2)))
  (* (log PI) (- 1/2 (* k 1/2)))
  (- 1/2 (* k 1/2))
  (sqrt PI)
  (pow PI (* k 1/2))
  (pow PI (* (cbrt (- 1/2 (* k 1/2))) (cbrt (- 1/2 (* k 1/2)))))
  (pow PI (sqrt (- 1/2 (* k 1/2))))
  PI
  (sqrt PI)
  (pow PI (* -1/2 k))
  (sqrt PI)
  (pow PI (* -1/2 k))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2)))
  (pow (cbrt PI) (- 1/2 (* k 1/2)))
  (pow (sqrt PI) (- 1/2 (* k 1/2)))
  (pow (sqrt PI) (- 1/2 (* k 1/2)))
  1
  (pow PI (- 1/2 (* k 1/2)))
  (* (log PI) (- 1/2 (* k 1/2)))
  (exp (pow PI (- 1/2 (* k 1/2))))
  (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (cbrt (pow PI (- 1/2 (* k 1/2)))))
  (cbrt (pow PI (- 1/2 (* k 1/2))))
  (* (* (pow PI (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2))))
  (sqrt (pow PI (- 1/2 (* k 1/2))))
  (sqrt (pow PI (- 1/2 (* k 1/2))))
  (pow PI (- 1/4 (/ k 4)))
  (pow PI (- 1/4 (/ k 4)))
  (real->posit16 (pow PI (- 1/2 (* k 1/2))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (log n)))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (log n)))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (log n)))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (log n)))
  (exp (* (sqrt 2) (pow n (- 1/2 (* k 1/2)))))
  (* (* (sqrt 2) 2) (* (pow n (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))))
  (* (cbrt (* (sqrt 2) (pow n (- 1/2 (* k 1/2))))) (cbrt (* (sqrt 2) (pow n (- 1/2 (* k 1/2))))))
  (cbrt (* (sqrt 2) (pow n (- 1/2 (* k 1/2)))))
  (* (* (sqrt 2) 2) (* (pow n (- 1/2 (* k 1/2))) (* (pow n (- 1/2 (* k 1/2))) (pow n (- 1/2 (* k 1/2))))))
  (sqrt (* (sqrt 2) (pow n (- 1/2 (* k 1/2)))))
  (sqrt (* (sqrt 2) (pow n (- 1/2 (* k 1/2)))))
  (* (sqrt (sqrt 2)) (pow (sqrt n) (- 1/2 (* k 1/2))))
  (* (sqrt (sqrt 2)) (pow (sqrt n) (- 1/2 (* k 1/2))))
  (* (sqrt (sqrt 2)) (pow (sqrt n) (- 1/2 (* k 1/2))))
  (* (sqrt (sqrt 2)) (pow (sqrt n) (- 1/2 (* k 1/2))))
  (* (sqrt (sqrt 2)) (sqrt (pow n (- 1/2 (* k 1/2)))))
  (* (sqrt (sqrt 2)) (sqrt (pow n (- 1/2 (* k 1/2)))))
  (* (sqrt (sqrt 2)) (sqrt (pow n (- 1/2 (* k 1/2)))))
  (* (sqrt (sqrt 2)) (sqrt (pow n (- 1/2 (* k 1/2)))))
  (* (sqrt (sqrt 2)) (pow n (- 1/4 (/ k 4))))
  (* (sqrt (sqrt 2)) (pow n (- 1/4 (/ k 4))))
  (* (sqrt (sqrt 2)) (pow n (- 1/4 (/ k 4))))
  (* (sqrt (sqrt 2)) (pow n (- 1/4 (/ k 4))))
  (* (* (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt 2))) (cbrt (sqrt 2)))
  (* (pow n (- 1/2 (* k 1/2))) (fabs (cbrt 2)))
  (* (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt 2)))
  (pow n (- 1/2 (* k 1/2)))
  (* (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt 2)))
  (pow n (- 1/2 (* k 1/2)))
  (* (sqrt 2) (pow n (* -1/2 k)))
  (* (sqrt 2) (pow n (* -1/2 k)))
  (* (pow (cbrt n) (- 1/2 (* k 1/2))) (sqrt 2))
  (* (sqrt 2) (pow (sqrt n) (- 1/2 (* k 1/2))))
  (* (sqrt 2) (pow n (- 1/2 (* k 1/2))))
  (* (cbrt (pow n (- 1/2 (* k 1/2)))) (sqrt 2))
  (* (sqrt 2) (sqrt (pow n (- 1/2 (* k 1/2)))))
  (* (sqrt 2) (pow n (- 1/2 (* k 1/2))))
  (* (pow n (- 1/4 (/ k 4))) (sqrt 2))
  (* (sqrt n) (sqrt 2))
  (real->posit16 (* (sqrt 2) (pow n (- 1/2 (* k 1/2)))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))))
  (+ (log (sqrt 2)) (* (- 1/2 (* k 1/2)) (+ (log n) (log PI))))
  (exp (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt 2)))
  (* (* 2 (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))))) (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt 2)))
  (* (* 2 (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))))) (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt 2)))
  (* (cbrt (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt 2))) (cbrt (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt 2))))
  (cbrt (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt 2)))
  (* (* 2 (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))))) (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt 2)))
  (sqrt (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt 2)))
  (sqrt (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt 2)))
  (* (* (sqrt n) (sqrt 2)) (sqrt PI))
  (* (pow PI (* k 1/2)) (pow n (* k 1/2)))
  (* (pow n (- 1/2 (* k 1/2))) (* (sqrt PI) (sqrt 2)))
  (* (pow n (- 1/2 (* k 1/2))) (* (sqrt PI) (sqrt 2)))
  (* (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (* k 1/2))) (sqrt 2)) (pow n (- 1/2 (* k 1/2))))
  (* (* (sqrt 2) (pow n (- 1/2 (* k 1/2)))) (pow (sqrt PI) (- 1/2 (* k 1/2))))
  (* (sqrt 2) (pow n (- 1/2 (* k 1/2))))
  (* (* (cbrt (pow PI (- 1/2 (* k 1/2)))) (* (sqrt 2) (pow n (- 1/2 (* k 1/2))))) (cbrt (pow PI (- 1/2 (* k 1/2)))))
  (* (* (pow n (- 1/2 (* k 1/2))) (sqrt (pow PI (- 1/2 (* k 1/2))))) (sqrt 2))
  (* (sqrt 2) (pow n (- 1/2 (* k 1/2))))
  (* (* (sqrt 2) (pow n (- 1/2 (* k 1/2)))) (pow PI (/ (- 1/2 (* k 1/2)) 2)))
  (* (pow PI (- 1/2 (* k 1/2))) (sqrt 2))
  (* (pow n (- 1/2 (* k 1/2))) (* (sqrt PI) (sqrt 2)))
  (* (pow PI (- 1/2 (* k 1/2))) (* (sqrt n) (sqrt 2)))
  (real->posit16 (* (* (pow n (- 1/2 (* k 1/2))) (pow PI (- 1/2 (* k 1/2)))) (sqrt 2)))
  (+ (* (sqrt n) (- (* 1/8 (* (* k (log n)) (* k (log n)))) (* 1/2 (* k (log n))))) (sqrt n))
  (exp (* (- 1/2 (* k 1/2)) (log n)))
  (exp (* (+ 0 (log n)) (- 1/2 (* k 1/2))))
  (+ (sqrt PI) (* (sqrt PI) (- (* 1/8 (* (* k (log PI)) (* k (log PI)))) (* (* k (log PI)) 1/2))))
  (pow PI (- 1/2 (* k 1/2)))
  (pow PI (- 1/2 (* k 1/2)))
  (* (sqrt n) (+ (sqrt 2) (* (sqrt 2) (- (* 1/8 (* (* k (log n)) (* k (log n)))) (* 1/2 (* k (log n)))))))
  (* (exp (* (- 1/2 (* k 1/2)) (log n))) (sqrt 2))
  (* (exp (* (+ 0 (log n)) (- 1/2 (* k 1/2)))) (sqrt 2))
  (+ (* (sqrt (* PI n)) (+ (+ (* (* 1/8 (sqrt 2)) (* (* k (log n)) (* k (log n)))) (sqrt 2)) (* (* 1/4 (sqrt 2)) (* (* (* k k) (log PI)) (log n))))) (* (sqrt (* PI n)) (- (* (* 1/8 (sqrt 2)) (* (* k (log PI)) (* k (log PI)))) (* (sqrt 2) (+ (* 1/2 (* k (log PI))) (* 1/2 (* k (log n))))))))
  (* (pow PI (- 1/2 (* k 1/2))) (* (exp (* (- 1/2 (* k 1/2)) (log n))) (sqrt 2)))
  (* (pow PI (- 1/2 (* k 1/2))) (* (exp (* (+ 0 (log n)) (- 1/2 (* k 1/2)))) (sqrt 2)))
22.510 * * * [progress]: adding candidates to table
23.401 * [progress]: [Phase 3 of 3] Extracting.
23.401 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))> #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))> #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))> #<alt (λ (k n) (* (* (sqrt (* 2 n)) (pow (* 2 n) (* -1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))> #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>)
23.402 * * * [regime-changes]: Trying 2 branch expressions: (n k)
23.402 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))> #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))> #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))> #<alt (λ (k n) (* (* (sqrt (* 2 n)) (pow (* 2 n) (* -1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))> #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>)
23.461 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2)) (pow (* n 2) (/ (- 1/2 (* 1/2 k)) 2))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))> #<alt (λ (k n) (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k)))))> #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (* 1/2 k))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (* 1/2 k)) 2)) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k))))> #<alt (λ (k n) (* (* (sqrt (* 2 n)) (pow (* 2 n) (* -1/2 k))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))> #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>)
23.520 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
23.520 * [simplify]: Simplifying:
  (/ (* (* (pow n (- 1/2 (* 1/2 k))) (sqrt 2)) (pow PI (- 1/2 (* 1/2 k)))) (* (pow 2 (* 1/2 k)) (sqrt k)))
23.520 * * [simplify]: iteration 0: 16 enodes
23.521 * * [simplify]: iteration 1: 20 enodes
23.522 * * [simplify]: iteration complete: 20 enodes
23.522 * * [simplify]: Extracting #0: cost 1 inf + 0
23.522 * * [simplify]: Extracting #1: cost 3 inf + 0
23.522 * * [simplify]: Extracting #2: cost 7 inf + 0
23.522 * * [simplify]: Extracting #3: cost 14 inf + 0
23.522 * * [simplify]: Extracting #4: cost 11 inf + 85
23.522 * * [simplify]: Extracting #5: cost 8 inf + 129
23.522 * * [simplify]: Extracting #6: cost 3 inf + 1383
23.523 * * [simplify]: Extracting #7: cost 0 inf + 3337
23.523 * [simplify]: Simplified to:
  (/ (* (* (sqrt 2) (pow n (- 1/2 (* k 1/2)))) (pow PI (- 1/2 (* k 1/2)))) (* (sqrt k) (pow 2 (* k 1/2))))
30.095 * [regime-testing]: Baseline error score: 0.3854121959357677
30.097 * [regime-testing]: Oracle error score: 0.029628703587948495
30.102 * [regime-testing]: End program error score: 0.3854121959357677