92.317 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.150 * * * [progress]: [2/2] Setting up program.
0.159 * [progress]: [Phase 2 of 3] Improving.
0.159 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
0.159 * [simplify]: Simplifying:
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
0.159 * * [simplify]: iteration 0: 13 enodes
0.171 * * [simplify]: iteration 1: 29 enodes
0.206 * * [simplify]: iteration 2: 58 enodes
0.245 * * [simplify]: iteration 3: 114 enodes
0.339 * * [simplify]: iteration 4: 285 enodes
0.644 * * [simplify]: iteration 5: 816 enodes
2.743 * * [simplify]: iteration 6: 2792 enodes
5.582 * * [simplify]: iteration complete: 5003 enodes
5.582 * * [simplify]: Extracting #0: cost 1 inf + 0
5.583 * * [simplify]: Extracting #1: cost 108 inf + 0
5.586 * * [simplify]: Extracting #2: cost 443 inf + 1
5.592 * * [simplify]: Extracting #3: cost 1022 inf + 49
5.609 * * [simplify]: Extracting #4: cost 1321 inf + 10849
5.628 * * [simplify]: Extracting #5: cost 617 inf + 94525
5.704 * * [simplify]: Extracting #6: cost 187 inf + 373026
5.840 * * [simplify]: Extracting #7: cost 0 inf + 567203
6.002 * * [simplify]: Extracting #8: cost 0 inf + 562474
6.151 * * [simplify]: Extracting #9: cost 0 inf + 561804
6.291 * [simplify]: Simplified to:
  (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt k) 1.0))
6.293 * * [progress]: iteration 1 / 4
6.293 * * * [progress]: picking best candidate
6.311 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
6.311 * * * [progress]: localizing error
6.365 * * * [progress]: generating rewritten candidates
6.365 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
6.412 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
6.428 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
6.453 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
6.577 * * * [progress]: generating series expansions
6.577 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
6.578 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))
6.578 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0
6.579 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
6.579 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
6.579 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
6.579 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
6.579 * [taylor]: Taking taylor expansion of 0.5 in k
6.579 * [backup-simplify]: Simplify 0.5 into 0.5
6.579 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
6.579 * [taylor]: Taking taylor expansion of 1.0 in k
6.579 * [backup-simplify]: Simplify 1.0 into 1.0
6.579 * [taylor]: Taking taylor expansion of k in k
6.579 * [backup-simplify]: Simplify 0 into 0
6.579 * [backup-simplify]: Simplify 1 into 1
6.579 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
6.579 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
6.579 * [taylor]: Taking taylor expansion of 2.0 in k
6.579 * [backup-simplify]: Simplify 2.0 into 2.0
6.579 * [taylor]: Taking taylor expansion of (* n PI) in k
6.579 * [taylor]: Taking taylor expansion of n in k
6.579 * [backup-simplify]: Simplify n into n
6.579 * [taylor]: Taking taylor expansion of PI in k
6.579 * [backup-simplify]: Simplify PI into PI
6.579 * [backup-simplify]: Simplify (* n PI) into (* n PI)
6.579 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
6.580 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
6.580 * [backup-simplify]: Simplify (- 0) into 0
6.581 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.581 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
6.582 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
6.582 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
6.582 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
6.582 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
6.582 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
6.582 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
6.583 * [taylor]: Taking taylor expansion of 0.5 in n
6.583 * [backup-simplify]: Simplify 0.5 into 0.5
6.583 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
6.583 * [taylor]: Taking taylor expansion of 1.0 in n
6.583 * [backup-simplify]: Simplify 1.0 into 1.0
6.583 * [taylor]: Taking taylor expansion of k in n
6.583 * [backup-simplify]: Simplify k into k
6.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
6.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
6.583 * [taylor]: Taking taylor expansion of 2.0 in n
6.583 * [backup-simplify]: Simplify 2.0 into 2.0
6.583 * [taylor]: Taking taylor expansion of (* n PI) in n
6.583 * [taylor]: Taking taylor expansion of n in n
6.583 * [backup-simplify]: Simplify 0 into 0
6.583 * [backup-simplify]: Simplify 1 into 1
6.583 * [taylor]: Taking taylor expansion of PI in n
6.583 * [backup-simplify]: Simplify PI into PI
6.584 * [backup-simplify]: Simplify (* 0 PI) into 0
6.584 * [backup-simplify]: Simplify (* 2.0 0) into 0
6.586 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.588 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
6.589 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
6.589 * [backup-simplify]: Simplify (- k) into (- k)
6.589 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
6.589 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
6.591 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
6.593 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
6.595 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
6.595 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
6.596 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
6.596 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
6.596 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
6.596 * [taylor]: Taking taylor expansion of 0.5 in n
6.596 * [backup-simplify]: Simplify 0.5 into 0.5
6.596 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
6.596 * [taylor]: Taking taylor expansion of 1.0 in n
6.596 * [backup-simplify]: Simplify 1.0 into 1.0
6.596 * [taylor]: Taking taylor expansion of k in n
6.596 * [backup-simplify]: Simplify k into k
6.596 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
6.596 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
6.596 * [taylor]: Taking taylor expansion of 2.0 in n
6.596 * [backup-simplify]: Simplify 2.0 into 2.0
6.596 * [taylor]: Taking taylor expansion of (* n PI) in n
6.596 * [taylor]: Taking taylor expansion of n in n
6.596 * [backup-simplify]: Simplify 0 into 0
6.596 * [backup-simplify]: Simplify 1 into 1
6.596 * [taylor]: Taking taylor expansion of PI in n
6.596 * [backup-simplify]: Simplify PI into PI
6.597 * [backup-simplify]: Simplify (* 0 PI) into 0
6.597 * [backup-simplify]: Simplify (* 2.0 0) into 0
6.599 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.601 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
6.602 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
6.602 * [backup-simplify]: Simplify (- k) into (- k)
6.602 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
6.602 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
6.604 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
6.606 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
6.609 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
6.609 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k
6.609 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k
6.609 * [taylor]: Taking taylor expansion of 0.5 in k
6.609 * [backup-simplify]: Simplify 0.5 into 0.5
6.609 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k
6.609 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
6.609 * [taylor]: Taking taylor expansion of 1.0 in k
6.609 * [backup-simplify]: Simplify 1.0 into 1.0
6.609 * [taylor]: Taking taylor expansion of k in k
6.609 * [backup-simplify]: Simplify 0 into 0
6.609 * [backup-simplify]: Simplify 1 into 1
6.609 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
6.609 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
6.609 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
6.609 * [taylor]: Taking taylor expansion of 2.0 in k
6.609 * [backup-simplify]: Simplify 2.0 into 2.0
6.609 * [taylor]: Taking taylor expansion of PI in k
6.609 * [backup-simplify]: Simplify PI into PI
6.610 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
6.611 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
6.611 * [taylor]: Taking taylor expansion of (log n) in k
6.611 * [taylor]: Taking taylor expansion of n in k
6.611 * [backup-simplify]: Simplify n into n
6.612 * [backup-simplify]: Simplify (log n) into (log n)
6.612 * [backup-simplify]: Simplify (- 0) into 0
6.613 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
6.614 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
6.616 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n)))
6.618 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n)))
6.620 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
6.622 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))
6.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
6.624 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
6.626 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
6.626 * [backup-simplify]: Simplify (- 0) into 0
6.627 * [backup-simplify]: Simplify (+ 0 0) into 0
6.627 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0
6.629 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
6.631 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
6.635 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.635 * [taylor]: Taking taylor expansion of 0 in k
6.635 * [backup-simplify]: Simplify 0 into 0
6.635 * [backup-simplify]: Simplify 0 into 0
6.636 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
6.638 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
6.639 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
6.642 * [backup-simplify]: Simplify (+ 0 0) into 0
6.643 * [backup-simplify]: Simplify (- 1) into -1
6.644 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.646 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n)))
6.650 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))))
6.655 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
6.660 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))
6.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
6.663 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
6.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
6.667 * [backup-simplify]: Simplify (- 0) into 0
6.668 * [backup-simplify]: Simplify (+ 0 0) into 0
6.669 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0
6.671 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
6.673 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
6.677 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.677 * [taylor]: Taking taylor expansion of 0 in k
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 0 into 0
6.678 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
6.682 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
6.685 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
6.685 * [backup-simplify]: Simplify (+ 0 0) into 0
6.686 * [backup-simplify]: Simplify (- 0) into 0
6.686 * [backup-simplify]: Simplify (+ 0 0) into 0
6.689 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
6.693 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0
6.700 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
6.709 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))
6.727 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k)))))
6.729 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))
6.729 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0
6.729 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
6.729 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
6.729 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
6.729 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
6.729 * [taylor]: Taking taylor expansion of 0.5 in k
6.729 * [backup-simplify]: Simplify 0.5 into 0.5
6.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
6.729 * [taylor]: Taking taylor expansion of 1.0 in k
6.729 * [backup-simplify]: Simplify 1.0 into 1.0
6.729 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.729 * [taylor]: Taking taylor expansion of k in k
6.729 * [backup-simplify]: Simplify 0 into 0
6.729 * [backup-simplify]: Simplify 1 into 1
6.730 * [backup-simplify]: Simplify (/ 1 1) into 1
6.730 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
6.730 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
6.730 * [taylor]: Taking taylor expansion of 2.0 in k
6.730 * [backup-simplify]: Simplify 2.0 into 2.0
6.730 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.730 * [taylor]: Taking taylor expansion of PI in k
6.730 * [backup-simplify]: Simplify PI into PI
6.730 * [taylor]: Taking taylor expansion of n in k
6.730 * [backup-simplify]: Simplify n into n
6.730 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.730 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
6.730 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
6.731 * [backup-simplify]: Simplify (- 1) into -1
6.731 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.731 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
6.731 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
6.732 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))
6.732 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
6.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
6.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
6.732 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
6.732 * [taylor]: Taking taylor expansion of 0.5 in n
6.732 * [backup-simplify]: Simplify 0.5 into 0.5
6.732 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
6.732 * [taylor]: Taking taylor expansion of 1.0 in n
6.732 * [backup-simplify]: Simplify 1.0 into 1.0
6.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.732 * [taylor]: Taking taylor expansion of k in n
6.732 * [backup-simplify]: Simplify k into k
6.732 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.732 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
6.732 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
6.732 * [taylor]: Taking taylor expansion of 2.0 in n
6.732 * [backup-simplify]: Simplify 2.0 into 2.0
6.732 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.732 * [taylor]: Taking taylor expansion of PI in n
6.732 * [backup-simplify]: Simplify PI into PI
6.732 * [taylor]: Taking taylor expansion of n in n
6.732 * [backup-simplify]: Simplify 0 into 0
6.732 * [backup-simplify]: Simplify 1 into 1
6.733 * [backup-simplify]: Simplify (/ PI 1) into PI
6.733 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
6.734 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
6.734 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
6.734 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
6.734 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
6.735 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
6.737 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))
6.738 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
6.738 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
6.738 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
6.738 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
6.738 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
6.738 * [taylor]: Taking taylor expansion of 0.5 in n
6.738 * [backup-simplify]: Simplify 0.5 into 0.5
6.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
6.738 * [taylor]: Taking taylor expansion of 1.0 in n
6.738 * [backup-simplify]: Simplify 1.0 into 1.0
6.738 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.738 * [taylor]: Taking taylor expansion of k in n
6.738 * [backup-simplify]: Simplify k into k
6.738 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.738 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
6.738 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
6.738 * [taylor]: Taking taylor expansion of 2.0 in n
6.738 * [backup-simplify]: Simplify 2.0 into 2.0
6.738 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.738 * [taylor]: Taking taylor expansion of PI in n
6.738 * [backup-simplify]: Simplify PI into PI
6.738 * [taylor]: Taking taylor expansion of n in n
6.738 * [backup-simplify]: Simplify 0 into 0
6.738 * [backup-simplify]: Simplify 1 into 1
6.739 * [backup-simplify]: Simplify (/ PI 1) into PI
6.739 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
6.740 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
6.740 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
6.740 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
6.740 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
6.741 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
6.742 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))
6.744 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
6.744 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k
6.744 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k
6.744 * [taylor]: Taking taylor expansion of 0.5 in k
6.744 * [backup-simplify]: Simplify 0.5 into 0.5
6.744 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k
6.744 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
6.744 * [taylor]: Taking taylor expansion of 1.0 in k
6.744 * [backup-simplify]: Simplify 1.0 into 1.0
6.744 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.744 * [taylor]: Taking taylor expansion of k in k
6.744 * [backup-simplify]: Simplify 0 into 0
6.744 * [backup-simplify]: Simplify 1 into 1
6.744 * [backup-simplify]: Simplify (/ 1 1) into 1
6.744 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
6.744 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
6.744 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
6.744 * [taylor]: Taking taylor expansion of 2.0 in k
6.744 * [backup-simplify]: Simplify 2.0 into 2.0
6.744 * [taylor]: Taking taylor expansion of PI in k
6.744 * [backup-simplify]: Simplify PI into PI
6.745 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
6.745 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
6.745 * [taylor]: Taking taylor expansion of (log n) in k
6.745 * [taylor]: Taking taylor expansion of n in k
6.745 * [backup-simplify]: Simplify n into n
6.746 * [backup-simplify]: Simplify (log n) into (log n)
6.746 * [backup-simplify]: Simplify (- 1) into -1
6.746 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.746 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
6.747 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
6.748 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n)))
6.749 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n)))
6.750 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
6.752 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
6.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.753 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
6.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
6.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.754 * [backup-simplify]: Simplify (- 0) into 0
6.755 * [backup-simplify]: Simplify (+ 0 0) into 0
6.755 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0
6.756 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
6.757 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
6.760 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.760 * [taylor]: Taking taylor expansion of 0 in k
6.760 * [backup-simplify]: Simplify 0 into 0
6.760 * [backup-simplify]: Simplify 0 into 0
6.761 * [backup-simplify]: Simplify 0 into 0
6.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.763 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
6.767 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
6.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.768 * [backup-simplify]: Simplify (- 0) into 0
6.768 * [backup-simplify]: Simplify (+ 0 0) into 0
6.770 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0
6.772 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
6.774 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
6.776 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.776 * [taylor]: Taking taylor expansion of 0 in k
6.776 * [backup-simplify]: Simplify 0 into 0
6.776 * [backup-simplify]: Simplify 0 into 0
6.776 * [backup-simplify]: Simplify 0 into 0
6.776 * [backup-simplify]: Simplify 0 into 0
6.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.778 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
6.783 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
6.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.784 * [backup-simplify]: Simplify (- 0) into 0
6.784 * [backup-simplify]: Simplify (+ 0 0) into 0
6.785 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0
6.786 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
6.788 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0
6.790 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.790 * [taylor]: Taking taylor expansion of 0 in k
6.790 * [backup-simplify]: Simplify 0 into 0
6.790 * [backup-simplify]: Simplify 0 into 0
6.791 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n))))))
6.792 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))
6.792 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0
6.792 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
6.792 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
6.792 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
6.792 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
6.792 * [taylor]: Taking taylor expansion of 0.5 in k
6.792 * [backup-simplify]: Simplify 0.5 into 0.5
6.792 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
6.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.792 * [taylor]: Taking taylor expansion of k in k
6.793 * [backup-simplify]: Simplify 0 into 0
6.793 * [backup-simplify]: Simplify 1 into 1
6.793 * [backup-simplify]: Simplify (/ 1 1) into 1
6.793 * [taylor]: Taking taylor expansion of 1.0 in k
6.793 * [backup-simplify]: Simplify 1.0 into 1.0
6.793 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
6.793 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
6.793 * [taylor]: Taking taylor expansion of -2.0 in k
6.793 * [backup-simplify]: Simplify -2.0 into -2.0
6.793 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.793 * [taylor]: Taking taylor expansion of PI in k
6.793 * [backup-simplify]: Simplify PI into PI
6.793 * [taylor]: Taking taylor expansion of n in k
6.793 * [backup-simplify]: Simplify n into n
6.793 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.793 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
6.793 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
6.794 * [backup-simplify]: Simplify (+ 1 0) into 1
6.794 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
6.794 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
6.795 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))
6.795 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
6.795 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
6.795 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
6.795 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
6.795 * [taylor]: Taking taylor expansion of 0.5 in n
6.795 * [backup-simplify]: Simplify 0.5 into 0.5
6.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
6.795 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.795 * [taylor]: Taking taylor expansion of k in n
6.795 * [backup-simplify]: Simplify k into k
6.795 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.795 * [taylor]: Taking taylor expansion of 1.0 in n
6.795 * [backup-simplify]: Simplify 1.0 into 1.0
6.795 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
6.795 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
6.795 * [taylor]: Taking taylor expansion of -2.0 in n
6.795 * [backup-simplify]: Simplify -2.0 into -2.0
6.795 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.795 * [taylor]: Taking taylor expansion of PI in n
6.795 * [backup-simplify]: Simplify PI into PI
6.795 * [taylor]: Taking taylor expansion of n in n
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 1 into 1
6.796 * [backup-simplify]: Simplify (/ PI 1) into PI
6.796 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
6.797 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
6.797 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
6.797 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
6.798 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
6.799 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))
6.801 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
6.801 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
6.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
6.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
6.801 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
6.801 * [taylor]: Taking taylor expansion of 0.5 in n
6.801 * [backup-simplify]: Simplify 0.5 into 0.5
6.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
6.801 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.801 * [taylor]: Taking taylor expansion of k in n
6.801 * [backup-simplify]: Simplify k into k
6.801 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.801 * [taylor]: Taking taylor expansion of 1.0 in n
6.801 * [backup-simplify]: Simplify 1.0 into 1.0
6.801 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
6.801 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
6.801 * [taylor]: Taking taylor expansion of -2.0 in n
6.801 * [backup-simplify]: Simplify -2.0 into -2.0
6.801 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.801 * [taylor]: Taking taylor expansion of PI in n
6.801 * [backup-simplify]: Simplify PI into PI
6.801 * [taylor]: Taking taylor expansion of n in n
6.801 * [backup-simplify]: Simplify 0 into 0
6.801 * [backup-simplify]: Simplify 1 into 1
6.801 * [backup-simplify]: Simplify (/ PI 1) into PI
6.802 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
6.803 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
6.803 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
6.803 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
6.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
6.805 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))
6.806 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
6.807 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k
6.807 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k
6.807 * [taylor]: Taking taylor expansion of 0.5 in k
6.807 * [backup-simplify]: Simplify 0.5 into 0.5
6.807 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k
6.807 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
6.807 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
6.807 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
6.807 * [taylor]: Taking taylor expansion of -2.0 in k
6.807 * [backup-simplify]: Simplify -2.0 into -2.0
6.807 * [taylor]: Taking taylor expansion of PI in k
6.807 * [backup-simplify]: Simplify PI into PI
6.807 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
6.808 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
6.808 * [taylor]: Taking taylor expansion of (log n) in k
6.808 * [taylor]: Taking taylor expansion of n in k
6.808 * [backup-simplify]: Simplify n into n
6.808 * [backup-simplify]: Simplify (log n) into (log n)
6.808 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
6.808 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.808 * [taylor]: Taking taylor expansion of k in k
6.808 * [backup-simplify]: Simplify 0 into 0
6.808 * [backup-simplify]: Simplify 1 into 1
6.808 * [backup-simplify]: Simplify (/ 1 1) into 1
6.808 * [taylor]: Taking taylor expansion of 1.0 in k
6.808 * [backup-simplify]: Simplify 1.0 into 1.0
6.809 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
6.810 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
6.810 * [backup-simplify]: Simplify (+ 1 0) into 1
6.811 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n))
6.812 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n)))
6.813 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
6.814 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
6.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.815 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
6.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
6.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.817 * [backup-simplify]: Simplify (+ 0 0) into 0
6.817 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0
6.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
6.820 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
6.821 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.821 * [taylor]: Taking taylor expansion of 0 in k
6.821 * [backup-simplify]: Simplify 0 into 0
6.821 * [backup-simplify]: Simplify 0 into 0
6.821 * [backup-simplify]: Simplify 0 into 0
6.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.823 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
6.825 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
6.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.825 * [backup-simplify]: Simplify (+ 0 0) into 0
6.826 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
6.828 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
6.831 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
6.835 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.835 * [taylor]: Taking taylor expansion of 0 in k
6.835 * [backup-simplify]: Simplify 0 into 0
6.835 * [backup-simplify]: Simplify 0 into 0
6.835 * [backup-simplify]: Simplify 0 into 0
6.835 * [backup-simplify]: Simplify 0 into 0
6.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.838 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
6.845 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
6.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.846 * [backup-simplify]: Simplify (+ 0 0) into 0
6.848 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0
6.850 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
6.853 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0
6.857 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.857 * [taylor]: Taking taylor expansion of 0 in k
6.857 * [backup-simplify]: Simplify 0 into 0
6.857 * [backup-simplify]: Simplify 0 into 0
6.860 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
6.860 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
6.860 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k)))
6.860 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0
6.860 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k
6.860 * [taylor]: Taking taylor expansion of 1.0 in k
6.860 * [backup-simplify]: Simplify 1.0 into 1.0
6.860 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
6.860 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.860 * [taylor]: Taking taylor expansion of k in k
6.860 * [backup-simplify]: Simplify 0 into 0
6.861 * [backup-simplify]: Simplify 1 into 1
6.861 * [backup-simplify]: Simplify (/ 1 1) into 1
6.861 * [backup-simplify]: Simplify (sqrt 0) into 0
6.863 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.863 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k
6.863 * [taylor]: Taking taylor expansion of 1.0 in k
6.863 * [backup-simplify]: Simplify 1.0 into 1.0
6.863 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
6.863 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.863 * [taylor]: Taking taylor expansion of k in k
6.863 * [backup-simplify]: Simplify 0 into 0
6.863 * [backup-simplify]: Simplify 1 into 1
6.864 * [backup-simplify]: Simplify (/ 1 1) into 1
6.864 * [backup-simplify]: Simplify (sqrt 0) into 0
6.866 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.866 * [backup-simplify]: Simplify (* 1.0 0) into 0
6.866 * [backup-simplify]: Simplify 0 into 0
6.868 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0)
6.868 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.873 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.875 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
6.876 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.884 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
6.884 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.887 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
6.887 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k))
6.887 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0
6.887 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k
6.887 * [taylor]: Taking taylor expansion of 1.0 in k
6.887 * [backup-simplify]: Simplify 1.0 into 1.0
6.887 * [taylor]: Taking taylor expansion of (sqrt k) in k
6.887 * [taylor]: Taking taylor expansion of k in k
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify 1 into 1
6.888 * [backup-simplify]: Simplify (sqrt 0) into 0
6.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.889 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k
6.889 * [taylor]: Taking taylor expansion of 1.0 in k
6.889 * [backup-simplify]: Simplify 1.0 into 1.0
6.889 * [taylor]: Taking taylor expansion of (sqrt k) in k
6.889 * [taylor]: Taking taylor expansion of k in k
6.889 * [backup-simplify]: Simplify 0 into 0
6.889 * [backup-simplify]: Simplify 1 into 1
6.890 * [backup-simplify]: Simplify (sqrt 0) into 0
6.891 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.892 * [backup-simplify]: Simplify (* 1.0 0) into 0
6.892 * [backup-simplify]: Simplify 0 into 0
6.893 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0)
6.894 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.897 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.899 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
6.900 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.907 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
6.907 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.910 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
6.911 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k)))
6.911 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0
6.911 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k
6.911 * [taylor]: Taking taylor expansion of 1.0 in k
6.911 * [backup-simplify]: Simplify 1.0 into 1.0
6.911 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
6.911 * [taylor]: Taking taylor expansion of (/ -1 k) in k
6.911 * [taylor]: Taking taylor expansion of -1 in k
6.911 * [backup-simplify]: Simplify -1 into -1
6.911 * [taylor]: Taking taylor expansion of k in k
6.911 * [backup-simplify]: Simplify 0 into 0
6.911 * [backup-simplify]: Simplify 1 into 1
6.911 * [backup-simplify]: Simplify (/ -1 1) into -1
6.912 * [backup-simplify]: Simplify (sqrt 0) into 0
6.918 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
6.919 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0
6.919 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k
6.919 * [taylor]: Taking taylor expansion of 1.0 in k
6.919 * [backup-simplify]: Simplify 1.0 into 1.0
6.919 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
6.919 * [taylor]: Taking taylor expansion of (/ -1 k) in k
6.919 * [taylor]: Taking taylor expansion of -1 in k
6.919 * [backup-simplify]: Simplify -1 into -1
6.919 * [taylor]: Taking taylor expansion of k in k
6.919 * [backup-simplify]: Simplify 0 into 0
6.919 * [backup-simplify]: Simplify 1 into 1
6.920 * [backup-simplify]: Simplify (/ -1 1) into -1
6.920 * [backup-simplify]: Simplify (sqrt 0) into 0
6.922 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
6.922 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0
6.922 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.927 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.929 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
6.930 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.940 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
6.941 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.943 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
6.943 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
6.944 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
6.944 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0
6.944 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
6.944 * [taylor]: Taking taylor expansion of 2.0 in n
6.944 * [backup-simplify]: Simplify 2.0 into 2.0
6.944 * [taylor]: Taking taylor expansion of (* n PI) in n
6.944 * [taylor]: Taking taylor expansion of n in n
6.944 * [backup-simplify]: Simplify 0 into 0
6.944 * [backup-simplify]: Simplify 1 into 1
6.944 * [taylor]: Taking taylor expansion of PI in n
6.944 * [backup-simplify]: Simplify PI into PI
6.944 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
6.944 * [taylor]: Taking taylor expansion of 2.0 in n
6.944 * [backup-simplify]: Simplify 2.0 into 2.0
6.944 * [taylor]: Taking taylor expansion of (* n PI) in n
6.944 * [taylor]: Taking taylor expansion of n in n
6.944 * [backup-simplify]: Simplify 0 into 0
6.944 * [backup-simplify]: Simplify 1 into 1
6.944 * [taylor]: Taking taylor expansion of PI in n
6.944 * [backup-simplify]: Simplify PI into PI
6.945 * [backup-simplify]: Simplify (* 0 PI) into 0
6.945 * [backup-simplify]: Simplify (* 2.0 0) into 0
6.945 * [backup-simplify]: Simplify 0 into 0
6.947 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
6.948 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
6.949 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
6.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
6.951 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
6.952 * [backup-simplify]: Simplify 0 into 0
6.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
6.954 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
6.954 * [backup-simplify]: Simplify 0 into 0
6.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
6.958 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
6.958 * [backup-simplify]: Simplify 0 into 0
6.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
6.961 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
6.961 * [backup-simplify]: Simplify 0 into 0
6.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
6.965 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
6.965 * [backup-simplify]: Simplify 0 into 0
6.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
6.970 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
6.970 * [backup-simplify]: Simplify 0 into 0
6.971 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
6.971 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n))
6.971 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0
6.971 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
6.971 * [taylor]: Taking taylor expansion of 2.0 in n
6.971 * [backup-simplify]: Simplify 2.0 into 2.0
6.971 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.972 * [taylor]: Taking taylor expansion of PI in n
6.972 * [backup-simplify]: Simplify PI into PI
6.972 * [taylor]: Taking taylor expansion of n in n
6.972 * [backup-simplify]: Simplify 0 into 0
6.972 * [backup-simplify]: Simplify 1 into 1
6.972 * [backup-simplify]: Simplify (/ PI 1) into PI
6.972 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
6.972 * [taylor]: Taking taylor expansion of 2.0 in n
6.972 * [backup-simplify]: Simplify 2.0 into 2.0
6.972 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.972 * [taylor]: Taking taylor expansion of PI in n
6.972 * [backup-simplify]: Simplify PI into PI
6.972 * [taylor]: Taking taylor expansion of n in n
6.972 * [backup-simplify]: Simplify 0 into 0
6.972 * [backup-simplify]: Simplify 1 into 1
6.973 * [backup-simplify]: Simplify (/ PI 1) into PI
6.974 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
6.974 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
6.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.976 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
6.976 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.979 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
6.979 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.982 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
6.982 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.985 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
6.985 * [backup-simplify]: Simplify 0 into 0
6.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.988 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
6.988 * [backup-simplify]: Simplify 0 into 0
6.989 * [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
6.991 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
6.991 * [backup-simplify]: Simplify 0 into 0
6.992 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI))
6.993 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n))
6.993 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0
6.993 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
6.993 * [taylor]: Taking taylor expansion of -2.0 in n
6.993 * [backup-simplify]: Simplify -2.0 into -2.0
6.993 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.993 * [taylor]: Taking taylor expansion of PI in n
6.993 * [backup-simplify]: Simplify PI into PI
6.993 * [taylor]: Taking taylor expansion of n in n
6.993 * [backup-simplify]: Simplify 0 into 0
6.993 * [backup-simplify]: Simplify 1 into 1
6.994 * [backup-simplify]: Simplify (/ PI 1) into PI
6.994 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
6.994 * [taylor]: Taking taylor expansion of -2.0 in n
6.994 * [backup-simplify]: Simplify -2.0 into -2.0
6.994 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.994 * [taylor]: Taking taylor expansion of PI in n
6.994 * [backup-simplify]: Simplify PI into PI
6.994 * [taylor]: Taking taylor expansion of n in n
6.994 * [backup-simplify]: Simplify 0 into 0
6.994 * [backup-simplify]: Simplify 1 into 1
6.995 * [backup-simplify]: Simplify (/ PI 1) into PI
6.995 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
6.996 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
6.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.997 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
6.997 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.000 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
7.000 * [backup-simplify]: Simplify 0 into 0
7.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.002 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.002 * [backup-simplify]: Simplify 0 into 0
7.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.005 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.005 * [backup-simplify]: Simplify 0 into 0
7.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.009 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.009 * [backup-simplify]: Simplify 0 into 0
7.010 * [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
7.012 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.012 * [backup-simplify]: Simplify 0 into 0
7.013 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI))
7.013 * * * * [progress]: [ 4 / 4 ] generating series at (2)
7.014 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))))
7.014 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k n) around 0
7.015 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n
7.015 * [taylor]: Taking taylor expansion of 1.0 in n
7.015 * [backup-simplify]: Simplify 1.0 into 1.0
7.015 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n
7.015 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n
7.015 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
7.015 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
7.015 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
7.015 * [taylor]: Taking taylor expansion of 0.5 in n
7.015 * [backup-simplify]: Simplify 0.5 into 0.5
7.015 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
7.015 * [taylor]: Taking taylor expansion of 1.0 in n
7.015 * [backup-simplify]: Simplify 1.0 into 1.0
7.015 * [taylor]: Taking taylor expansion of k in n
7.015 * [backup-simplify]: Simplify k into k
7.015 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
7.015 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
7.015 * [taylor]: Taking taylor expansion of 2.0 in n
7.015 * [backup-simplify]: Simplify 2.0 into 2.0
7.015 * [taylor]: Taking taylor expansion of (* n PI) in n
7.015 * [taylor]: Taking taylor expansion of n in n
7.015 * [backup-simplify]: Simplify 0 into 0
7.015 * [backup-simplify]: Simplify 1 into 1
7.015 * [taylor]: Taking taylor expansion of PI in n
7.015 * [backup-simplify]: Simplify PI into PI
7.016 * [backup-simplify]: Simplify (* 0 PI) into 0
7.017 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.018 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.020 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
7.021 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.021 * [backup-simplify]: Simplify (- k) into (- k)
7.021 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
7.022 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
7.024 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
7.025 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
7.028 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
7.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
7.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.028 * [taylor]: Taking taylor expansion of k in n
7.028 * [backup-simplify]: Simplify k into k
7.028 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.028 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
7.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
7.029 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k
7.029 * [taylor]: Taking taylor expansion of 1.0 in k
7.029 * [backup-simplify]: Simplify 1.0 into 1.0
7.029 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k
7.029 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
7.029 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
7.029 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
7.029 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
7.029 * [taylor]: Taking taylor expansion of 0.5 in k
7.029 * [backup-simplify]: Simplify 0.5 into 0.5
7.029 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
7.029 * [taylor]: Taking taylor expansion of 1.0 in k
7.029 * [backup-simplify]: Simplify 1.0 into 1.0
7.029 * [taylor]: Taking taylor expansion of k in k
7.029 * [backup-simplify]: Simplify 0 into 0
7.029 * [backup-simplify]: Simplify 1 into 1
7.029 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
7.029 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
7.029 * [taylor]: Taking taylor expansion of 2.0 in k
7.029 * [backup-simplify]: Simplify 2.0 into 2.0
7.029 * [taylor]: Taking taylor expansion of (* n PI) in k
7.029 * [taylor]: Taking taylor expansion of n in k
7.029 * [backup-simplify]: Simplify n into n
7.029 * [taylor]: Taking taylor expansion of PI in k
7.029 * [backup-simplify]: Simplify PI into PI
7.030 * [backup-simplify]: Simplify (* n PI) into (* n PI)
7.030 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
7.030 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
7.031 * [backup-simplify]: Simplify (- 0) into 0
7.031 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.032 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
7.032 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
7.033 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
7.033 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.033 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.033 * [taylor]: Taking taylor expansion of k in k
7.033 * [backup-simplify]: Simplify 0 into 0
7.033 * [backup-simplify]: Simplify 1 into 1
7.033 * [backup-simplify]: Simplify (/ 1 1) into 1
7.034 * [backup-simplify]: Simplify (sqrt 0) into 0
7.035 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.035 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k
7.035 * [taylor]: Taking taylor expansion of 1.0 in k
7.035 * [backup-simplify]: Simplify 1.0 into 1.0
7.035 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k
7.035 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k
7.035 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
7.035 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
7.035 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
7.035 * [taylor]: Taking taylor expansion of 0.5 in k
7.036 * [backup-simplify]: Simplify 0.5 into 0.5
7.036 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
7.036 * [taylor]: Taking taylor expansion of 1.0 in k
7.036 * [backup-simplify]: Simplify 1.0 into 1.0
7.036 * [taylor]: Taking taylor expansion of k in k
7.036 * [backup-simplify]: Simplify 0 into 0
7.036 * [backup-simplify]: Simplify 1 into 1
7.036 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
7.036 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
7.036 * [taylor]: Taking taylor expansion of 2.0 in k
7.036 * [backup-simplify]: Simplify 2.0 into 2.0
7.036 * [taylor]: Taking taylor expansion of (* n PI) in k
7.036 * [taylor]: Taking taylor expansion of n in k
7.036 * [backup-simplify]: Simplify n into n
7.036 * [taylor]: Taking taylor expansion of PI in k
7.036 * [backup-simplify]: Simplify PI into PI
7.036 * [backup-simplify]: Simplify (* n PI) into (* n PI)
7.036 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
7.037 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
7.037 * [backup-simplify]: Simplify (- 0) into 0
7.038 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.038 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
7.038 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI))))
7.039 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5)
7.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.039 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.039 * [taylor]: Taking taylor expansion of k in k
7.039 * [backup-simplify]: Simplify 0 into 0
7.039 * [backup-simplify]: Simplify 1 into 1
7.040 * [backup-simplify]: Simplify (/ 1 1) into 1
7.040 * [backup-simplify]: Simplify (sqrt 0) into 0
7.041 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.042 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) 0) into 0
7.043 * [backup-simplify]: Simplify (* 1.0 0) into 0
7.043 * [taylor]: Taking taylor expansion of 0 in n
7.043 * [backup-simplify]: Simplify 0 into 0
7.043 * [backup-simplify]: Simplify 0 into 0
7.043 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
7.044 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0
7.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0
7.046 * [backup-simplify]: Simplify (- 1) into -1
7.047 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.048 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
7.050 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI)))))
7.052 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))))
7.056 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))
7.060 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
7.060 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n
7.060 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n
7.060 * [taylor]: Taking taylor expansion of +nan.0 in n
7.060 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.060 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
7.060 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
7.060 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
7.060 * [taylor]: Taking taylor expansion of 0.5 in n
7.060 * [backup-simplify]: Simplify 0.5 into 0.5
7.060 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
7.061 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
7.061 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
7.061 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
7.061 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
7.061 * [taylor]: Taking taylor expansion of 1.0 in n
7.061 * [backup-simplify]: Simplify 1.0 into 1.0
7.061 * [taylor]: Taking taylor expansion of (log PI) in n
7.061 * [taylor]: Taking taylor expansion of PI in n
7.061 * [backup-simplify]: Simplify PI into PI
7.061 * [backup-simplify]: Simplify (log PI) into (log PI)
7.063 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
7.065 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
7.065 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
7.065 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
7.065 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
7.065 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
7.065 * [taylor]: Taking taylor expansion of 1.0 in n
7.065 * [backup-simplify]: Simplify 1.0 into 1.0
7.065 * [taylor]: Taking taylor expansion of (log n) in n
7.065 * [taylor]: Taking taylor expansion of n in n
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [backup-simplify]: Simplify 1 into 1
7.066 * [backup-simplify]: Simplify (log 1) into 0
7.067 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
7.067 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
7.067 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
7.067 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
7.067 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
7.067 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
7.068 * [taylor]: Taking taylor expansion of 1.0 in n
7.068 * [backup-simplify]: Simplify 1.0 into 1.0
7.068 * [taylor]: Taking taylor expansion of (log 2.0) in n
7.068 * [taylor]: Taking taylor expansion of 2.0 in n
7.068 * [backup-simplify]: Simplify 2.0 into 2.0
7.068 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
7.069 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
7.071 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
7.073 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
7.075 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
7.078 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
7.081 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
7.090 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
7.094 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))
7.097 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))
7.100 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))
7.100 * [backup-simplify]: Simplify 0 into 0
7.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.104 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.105 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
7.106 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
7.110 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0
7.110 * [backup-simplify]: Simplify (- 0) into 0
7.110 * [backup-simplify]: Simplify (+ 0 0) into 0
7.112 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
7.113 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0
7.116 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))
7.126 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))
7.139 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))
7.139 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n
7.139 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n
7.139 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n
7.139 * [taylor]: Taking taylor expansion of +nan.0 in n
7.139 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.139 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n
7.140 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
7.140 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
7.140 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
7.140 * [taylor]: Taking taylor expansion of 0.5 in n
7.140 * [backup-simplify]: Simplify 0.5 into 0.5
7.140 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
7.140 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
7.140 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
7.140 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
7.140 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
7.140 * [taylor]: Taking taylor expansion of 1.0 in n
7.140 * [backup-simplify]: Simplify 1.0 into 1.0
7.140 * [taylor]: Taking taylor expansion of (log PI) in n
7.140 * [taylor]: Taking taylor expansion of PI in n
7.140 * [backup-simplify]: Simplify PI into PI
7.141 * [backup-simplify]: Simplify (log PI) into (log PI)
7.142 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
7.143 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
7.143 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
7.143 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
7.143 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
7.143 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
7.143 * [taylor]: Taking taylor expansion of 1.0 in n
7.143 * [backup-simplify]: Simplify 1.0 into 1.0
7.143 * [taylor]: Taking taylor expansion of (log n) in n
7.143 * [taylor]: Taking taylor expansion of n in n
7.143 * [backup-simplify]: Simplify 0 into 0
7.143 * [backup-simplify]: Simplify 1 into 1
7.144 * [backup-simplify]: Simplify (log 1) into 0
7.144 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
7.144 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
7.144 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
7.144 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
7.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
7.144 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
7.145 * [taylor]: Taking taylor expansion of 1.0 in n
7.145 * [backup-simplify]: Simplify 1.0 into 1.0
7.145 * [taylor]: Taking taylor expansion of (log 2.0) in n
7.145 * [taylor]: Taking taylor expansion of 2.0 in n
7.145 * [backup-simplify]: Simplify 2.0 into 2.0
7.145 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
7.146 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
7.147 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
7.147 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
7.149 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
7.150 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
7.152 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
7.154 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
7.154 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
7.154 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
7.154 * [taylor]: Taking taylor expansion of 2.0 in n
7.154 * [backup-simplify]: Simplify 2.0 into 2.0
7.154 * [taylor]: Taking taylor expansion of (* n PI) in n
7.154 * [taylor]: Taking taylor expansion of n in n
7.154 * [backup-simplify]: Simplify 0 into 0
7.154 * [backup-simplify]: Simplify 1 into 1
7.154 * [taylor]: Taking taylor expansion of PI in n
7.154 * [backup-simplify]: Simplify PI into PI
7.154 * [backup-simplify]: Simplify (* 0 PI) into 0
7.154 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.155 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.157 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
7.157 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.157 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n
7.157 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n
7.157 * [taylor]: Taking taylor expansion of +nan.0 in n
7.157 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.157 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
7.157 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
7.157 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
7.157 * [taylor]: Taking taylor expansion of 0.5 in n
7.158 * [backup-simplify]: Simplify 0.5 into 0.5
7.158 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
7.158 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
7.158 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
7.158 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
7.158 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
7.158 * [taylor]: Taking taylor expansion of 1.0 in n
7.158 * [backup-simplify]: Simplify 1.0 into 1.0
7.158 * [taylor]: Taking taylor expansion of (log PI) in n
7.158 * [taylor]: Taking taylor expansion of PI in n
7.158 * [backup-simplify]: Simplify PI into PI
7.158 * [backup-simplify]: Simplify (log PI) into (log PI)
7.159 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
7.160 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
7.160 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
7.160 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
7.160 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
7.160 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
7.160 * [taylor]: Taking taylor expansion of 1.0 in n
7.160 * [backup-simplify]: Simplify 1.0 into 1.0
7.160 * [taylor]: Taking taylor expansion of (log n) in n
7.160 * [taylor]: Taking taylor expansion of n in n
7.160 * [backup-simplify]: Simplify 0 into 0
7.160 * [backup-simplify]: Simplify 1 into 1
7.160 * [backup-simplify]: Simplify (log 1) into 0
7.161 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
7.161 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
7.161 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
7.161 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
7.161 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
7.161 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
7.161 * [taylor]: Taking taylor expansion of 1.0 in n
7.161 * [backup-simplify]: Simplify 1.0 into 1.0
7.161 * [taylor]: Taking taylor expansion of (log 2.0) in n
7.161 * [taylor]: Taking taylor expansion of 2.0 in n
7.161 * [backup-simplify]: Simplify 2.0 into 2.0
7.162 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
7.162 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
7.163 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
7.164 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
7.165 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
7.167 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
7.169 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
7.171 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
7.174 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
7.179 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))
7.184 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))))
7.187 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))
7.188 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))
7.193 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))
7.201 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))))))))
7.208 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))
7.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0
7.209 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0
7.210 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0
7.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.211 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
7.212 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0
7.213 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
7.213 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0
7.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
7.215 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0
7.221 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
7.224 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0
7.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0
7.232 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0
7.237 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.241 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0
7.242 * [backup-simplify]: Simplify (- 0) into 0
7.242 * [backup-simplify]: Simplify 0 into 0
7.242 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.249 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.250 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
7.256 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0
7.256 * [backup-simplify]: Simplify (- 0) into 0
7.257 * [backup-simplify]: Simplify (+ 0 0) into 0
7.258 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0
7.260 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0
7.265 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3)))
7.280 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))
7.304 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))
7.304 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n
7.304 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n
7.304 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n
7.304 * [taylor]: Taking taylor expansion of +nan.0 in n
7.304 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.304 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n
7.304 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
7.304 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
7.304 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
7.304 * [taylor]: Taking taylor expansion of 0.5 in n
7.304 * [backup-simplify]: Simplify 0.5 into 0.5
7.304 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
7.304 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
7.304 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
7.304 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
7.304 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
7.304 * [taylor]: Taking taylor expansion of 1.0 in n
7.304 * [backup-simplify]: Simplify 1.0 into 1.0
7.304 * [taylor]: Taking taylor expansion of (log PI) in n
7.304 * [taylor]: Taking taylor expansion of PI in n
7.304 * [backup-simplify]: Simplify PI into PI
7.304 * [backup-simplify]: Simplify (log PI) into (log PI)
7.305 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
7.307 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
7.307 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
7.307 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
7.307 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
7.307 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
7.307 * [taylor]: Taking taylor expansion of 1.0 in n
7.307 * [backup-simplify]: Simplify 1.0 into 1.0
7.307 * [taylor]: Taking taylor expansion of (log n) in n
7.307 * [taylor]: Taking taylor expansion of n in n
7.307 * [backup-simplify]: Simplify 0 into 0
7.307 * [backup-simplify]: Simplify 1 into 1
7.307 * [backup-simplify]: Simplify (log 1) into 0
7.307 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
7.308 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
7.308 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
7.308 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
7.308 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
7.308 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
7.308 * [taylor]: Taking taylor expansion of 1.0 in n
7.308 * [backup-simplify]: Simplify 1.0 into 1.0
7.308 * [taylor]: Taking taylor expansion of (log 2.0) in n
7.308 * [taylor]: Taking taylor expansion of 2.0 in n
7.308 * [backup-simplify]: Simplify 2.0 into 2.0
7.308 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
7.309 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
7.310 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
7.311 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
7.312 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
7.313 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
7.315 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
7.317 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
7.317 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
7.317 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
7.317 * [taylor]: Taking taylor expansion of 2.0 in n
7.317 * [backup-simplify]: Simplify 2.0 into 2.0
7.317 * [taylor]: Taking taylor expansion of (* n PI) in n
7.317 * [taylor]: Taking taylor expansion of n in n
7.317 * [backup-simplify]: Simplify 0 into 0
7.317 * [backup-simplify]: Simplify 1 into 1
7.317 * [taylor]: Taking taylor expansion of PI in n
7.317 * [backup-simplify]: Simplify PI into PI
7.317 * [backup-simplify]: Simplify (* 0 PI) into 0
7.318 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.320 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
7.321 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.321 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n
7.321 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n
7.321 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n
7.321 * [taylor]: Taking taylor expansion of +nan.0 in n
7.321 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.321 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n
7.321 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n
7.321 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n
7.321 * [taylor]: Taking taylor expansion of 0.5 in n
7.321 * [backup-simplify]: Simplify 0.5 into 0.5
7.321 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n
7.321 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n
7.321 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
7.321 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
7.321 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
7.321 * [taylor]: Taking taylor expansion of 1.0 in n
7.321 * [backup-simplify]: Simplify 1.0 into 1.0
7.321 * [taylor]: Taking taylor expansion of (log 2.0) in n
7.321 * [taylor]: Taking taylor expansion of 2.0 in n
7.321 * [backup-simplify]: Simplify 2.0 into 2.0
7.321 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
7.322 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
7.323 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
7.323 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n
7.323 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
7.323 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
7.323 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
7.323 * [taylor]: Taking taylor expansion of 1.0 in n
7.323 * [backup-simplify]: Simplify 1.0 into 1.0
7.323 * [taylor]: Taking taylor expansion of (log n) in n
7.323 * [taylor]: Taking taylor expansion of n in n
7.323 * [backup-simplify]: Simplify 0 into 0
7.323 * [backup-simplify]: Simplify 1 into 1
7.324 * [backup-simplify]: Simplify (log 1) into 0
7.324 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
7.324 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
7.324 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
7.324 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
7.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
7.324 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
7.324 * [taylor]: Taking taylor expansion of 1.0 in n
7.324 * [backup-simplify]: Simplify 1.0 into 1.0
7.324 * [taylor]: Taking taylor expansion of (log PI) in n
7.324 * [taylor]: Taking taylor expansion of PI in n
7.324 * [backup-simplify]: Simplify PI into PI
7.325 * [backup-simplify]: Simplify (log PI) into (log PI)
7.326 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
7.327 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
7.327 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
7.329 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
7.331 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
7.334 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
7.338 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
7.338 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n
7.338 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n
7.338 * [taylor]: Taking taylor expansion of +nan.0 in n
7.338 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.338 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n
7.338 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
7.338 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
7.338 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
7.338 * [taylor]: Taking taylor expansion of 0.5 in n
7.338 * [backup-simplify]: Simplify 0.5 into 0.5
7.338 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
7.338 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
7.338 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
7.338 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
7.338 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
7.338 * [taylor]: Taking taylor expansion of 1.0 in n
7.338 * [backup-simplify]: Simplify 1.0 into 1.0
7.338 * [taylor]: Taking taylor expansion of (log PI) in n
7.338 * [taylor]: Taking taylor expansion of PI in n
7.338 * [backup-simplify]: Simplify PI into PI
7.339 * [backup-simplify]: Simplify (log PI) into (log PI)
7.340 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
7.342 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
7.342 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
7.342 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
7.342 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
7.342 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
7.342 * [taylor]: Taking taylor expansion of 1.0 in n
7.342 * [backup-simplify]: Simplify 1.0 into 1.0
7.342 * [taylor]: Taking taylor expansion of (log n) in n
7.343 * [taylor]: Taking taylor expansion of n in n
7.343 * [backup-simplify]: Simplify 0 into 0
7.343 * [backup-simplify]: Simplify 1 into 1
7.343 * [backup-simplify]: Simplify (log 1) into 0
7.344 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
7.344 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
7.344 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
7.344 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
7.344 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
7.344 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
7.345 * [taylor]: Taking taylor expansion of 1.0 in n
7.345 * [backup-simplify]: Simplify 1.0 into 1.0
7.345 * [taylor]: Taking taylor expansion of (log 2.0) in n
7.345 * [taylor]: Taking taylor expansion of 2.0 in n
7.345 * [backup-simplify]: Simplify 2.0 into 2.0
7.345 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
7.346 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
7.348 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
7.349 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
7.352 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
7.355 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
7.358 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
7.361 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
7.361 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n
7.361 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
7.361 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
7.361 * [taylor]: Taking taylor expansion of 2.0 in n
7.361 * [backup-simplify]: Simplify 2.0 into 2.0
7.361 * [taylor]: Taking taylor expansion of (* n PI) in n
7.361 * [taylor]: Taking taylor expansion of n in n
7.361 * [backup-simplify]: Simplify 0 into 0
7.362 * [backup-simplify]: Simplify 1 into 1
7.362 * [taylor]: Taking taylor expansion of PI in n
7.362 * [backup-simplify]: Simplify PI into PI
7.362 * [backup-simplify]: Simplify (* 0 PI) into 0
7.362 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.363 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.365 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
7.365 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.366 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
7.368 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
7.374 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))
7.376 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))))
7.379 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))
7.380 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
7.381 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
7.383 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2)
7.386 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))
7.389 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)))
7.395 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))
7.418 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))
7.443 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))))
7.459 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))
7.481 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))
7.517 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))))))))))))))
7.555 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2)))))))))))))))))))))))
7.556 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)))
7.556 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k n) around 0
7.556 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n
7.556 * [taylor]: Taking taylor expansion of 1.0 in n
7.556 * [backup-simplify]: Simplify 1.0 into 1.0
7.556 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n
7.557 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n
7.557 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
7.557 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
7.557 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
7.557 * [taylor]: Taking taylor expansion of 0.5 in n
7.557 * [backup-simplify]: Simplify 0.5 into 0.5
7.557 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
7.557 * [taylor]: Taking taylor expansion of 1.0 in n
7.557 * [backup-simplify]: Simplify 1.0 into 1.0
7.557 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.557 * [taylor]: Taking taylor expansion of k in n
7.557 * [backup-simplify]: Simplify k into k
7.557 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.557 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
7.557 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
7.557 * [taylor]: Taking taylor expansion of 2.0 in n
7.557 * [backup-simplify]: Simplify 2.0 into 2.0
7.557 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.557 * [taylor]: Taking taylor expansion of PI in n
7.557 * [backup-simplify]: Simplify PI into PI
7.557 * [taylor]: Taking taylor expansion of n in n
7.557 * [backup-simplify]: Simplify 0 into 0
7.557 * [backup-simplify]: Simplify 1 into 1
7.557 * [backup-simplify]: Simplify (/ PI 1) into PI
7.558 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
7.558 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.558 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
7.559 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
7.559 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
7.560 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
7.561 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))
7.562 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
7.562 * [taylor]: Taking taylor expansion of (sqrt k) in n
7.562 * [taylor]: Taking taylor expansion of k in n
7.562 * [backup-simplify]: Simplify k into k
7.562 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
7.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
7.562 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k
7.562 * [taylor]: Taking taylor expansion of 1.0 in k
7.562 * [backup-simplify]: Simplify 1.0 into 1.0
7.562 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k
7.562 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
7.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
7.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
7.563 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
7.563 * [taylor]: Taking taylor expansion of 0.5 in k
7.563 * [backup-simplify]: Simplify 0.5 into 0.5
7.563 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
7.563 * [taylor]: Taking taylor expansion of 1.0 in k
7.563 * [backup-simplify]: Simplify 1.0 into 1.0
7.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.563 * [taylor]: Taking taylor expansion of k in k
7.563 * [backup-simplify]: Simplify 0 into 0
7.563 * [backup-simplify]: Simplify 1 into 1
7.563 * [backup-simplify]: Simplify (/ 1 1) into 1
7.563 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
7.563 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
7.563 * [taylor]: Taking taylor expansion of 2.0 in k
7.563 * [backup-simplify]: Simplify 2.0 into 2.0
7.563 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.563 * [taylor]: Taking taylor expansion of PI in k
7.563 * [backup-simplify]: Simplify PI into PI
7.563 * [taylor]: Taking taylor expansion of n in k
7.563 * [backup-simplify]: Simplify n into n
7.563 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.563 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
7.563 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
7.564 * [backup-simplify]: Simplify (- 1) into -1
7.564 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.564 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
7.565 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
7.565 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))
7.565 * [taylor]: Taking taylor expansion of (sqrt k) in k
7.565 * [taylor]: Taking taylor expansion of k in k
7.565 * [backup-simplify]: Simplify 0 into 0
7.565 * [backup-simplify]: Simplify 1 into 1
7.565 * [backup-simplify]: Simplify (sqrt 0) into 0
7.567 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.567 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k
7.567 * [taylor]: Taking taylor expansion of 1.0 in k
7.567 * [backup-simplify]: Simplify 1.0 into 1.0
7.567 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k
7.567 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k
7.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
7.567 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
7.567 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
7.567 * [taylor]: Taking taylor expansion of 0.5 in k
7.567 * [backup-simplify]: Simplify 0.5 into 0.5
7.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
7.567 * [taylor]: Taking taylor expansion of 1.0 in k
7.567 * [backup-simplify]: Simplify 1.0 into 1.0
7.567 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.567 * [taylor]: Taking taylor expansion of k in k
7.567 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify 1 into 1
7.568 * [backup-simplify]: Simplify (/ 1 1) into 1
7.568 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
7.568 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
7.568 * [taylor]: Taking taylor expansion of 2.0 in k
7.568 * [backup-simplify]: Simplify 2.0 into 2.0
7.568 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.568 * [taylor]: Taking taylor expansion of PI in k
7.568 * [backup-simplify]: Simplify PI into PI
7.568 * [taylor]: Taking taylor expansion of n in k
7.568 * [backup-simplify]: Simplify n into n
7.568 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.568 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
7.569 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
7.569 * [backup-simplify]: Simplify (- 1) into -1
7.570 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.570 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
7.571 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n))))
7.571 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))
7.572 * [taylor]: Taking taylor expansion of (sqrt k) in k
7.572 * [taylor]: Taking taylor expansion of k in k
7.572 * [backup-simplify]: Simplify 0 into 0
7.572 * [backup-simplify]: Simplify 1 into 1
7.572 * [backup-simplify]: Simplify (sqrt 0) into 0
7.573 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.575 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 0) into 0
7.575 * [backup-simplify]: Simplify (* 1.0 0) into 0
7.575 * [taylor]: Taking taylor expansion of 0 in n
7.575 * [backup-simplify]: Simplify 0 into 0
7.575 * [backup-simplify]: Simplify 0 into 0
7.577 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))
7.579 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))
7.579 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n
7.579 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n
7.579 * [taylor]: Taking taylor expansion of +nan.0 in n
7.579 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.579 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n
7.579 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n
7.579 * [taylor]: Taking taylor expansion of 0.5 in n
7.579 * [backup-simplify]: Simplify 0.5 into 0.5
7.579 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n
7.579 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
7.579 * [taylor]: Taking taylor expansion of 1.0 in n
7.579 * [backup-simplify]: Simplify 1.0 into 1.0
7.579 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.580 * [taylor]: Taking taylor expansion of k in n
7.580 * [backup-simplify]: Simplify k into k
7.580 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.580 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
7.580 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
7.580 * [taylor]: Taking taylor expansion of 2.0 in n
7.580 * [backup-simplify]: Simplify 2.0 into 2.0
7.580 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.580 * [taylor]: Taking taylor expansion of PI in n
7.580 * [backup-simplify]: Simplify PI into PI
7.580 * [taylor]: Taking taylor expansion of n in n
7.580 * [backup-simplify]: Simplify 0 into 0
7.580 * [backup-simplify]: Simplify 1 into 1
7.581 * [backup-simplify]: Simplify (/ PI 1) into PI
7.581 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
7.583 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.583 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
7.583 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
7.585 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
7.587 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))
7.589 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))
7.591 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
7.594 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))
7.596 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))))
7.599 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))))
7.599 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.605 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))
7.609 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))
7.609 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n
7.609 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n
7.609 * [taylor]: Taking taylor expansion of +nan.0 in n
7.609 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.609 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n
7.609 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n
7.609 * [taylor]: Taking taylor expansion of 0.5 in n
7.609 * [backup-simplify]: Simplify 0.5 into 0.5
7.609 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n
7.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
7.609 * [taylor]: Taking taylor expansion of 1.0 in n
7.609 * [backup-simplify]: Simplify 1.0 into 1.0
7.609 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.609 * [taylor]: Taking taylor expansion of k in n
7.609 * [backup-simplify]: Simplify k into k
7.609 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.609 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
7.609 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
7.610 * [taylor]: Taking taylor expansion of 2.0 in n
7.610 * [backup-simplify]: Simplify 2.0 into 2.0
7.610 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.610 * [taylor]: Taking taylor expansion of PI in n
7.610 * [backup-simplify]: Simplify PI into PI
7.610 * [taylor]: Taking taylor expansion of n in n
7.610 * [backup-simplify]: Simplify 0 into 0
7.610 * [backup-simplify]: Simplify 1 into 1
7.610 * [backup-simplify]: Simplify (/ PI 1) into PI
7.611 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
7.612 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.612 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
7.613 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
7.615 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
7.617 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))
7.619 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))
7.621 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
7.623 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))
7.626 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))))
7.629 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))))
7.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.631 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
7.633 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
7.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.634 * [backup-simplify]: Simplify (- 0) into 0
7.634 * [backup-simplify]: Simplify (+ 0 0) into 0
7.637 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
7.639 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
7.642 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into 0
7.647 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.649 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into 0
7.649 * [backup-simplify]: Simplify (- 0) into 0
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.653 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))
7.656 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))
7.656 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n
7.656 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n
7.656 * [taylor]: Taking taylor expansion of +nan.0 in n
7.656 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.656 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n
7.656 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n
7.656 * [taylor]: Taking taylor expansion of 0.5 in n
7.656 * [backup-simplify]: Simplify 0.5 into 0.5
7.656 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n
7.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
7.656 * [taylor]: Taking taylor expansion of 1.0 in n
7.656 * [backup-simplify]: Simplify 1.0 into 1.0
7.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.656 * [taylor]: Taking taylor expansion of k in n
7.656 * [backup-simplify]: Simplify k into k
7.656 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.656 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
7.656 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
7.656 * [taylor]: Taking taylor expansion of 2.0 in n
7.656 * [backup-simplify]: Simplify 2.0 into 2.0
7.656 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.656 * [taylor]: Taking taylor expansion of PI in n
7.656 * [backup-simplify]: Simplify PI into PI
7.656 * [taylor]: Taking taylor expansion of n in n
7.656 * [backup-simplify]: Simplify 0 into 0
7.656 * [backup-simplify]: Simplify 1 into 1
7.657 * [backup-simplify]: Simplify (/ PI 1) into PI
7.657 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
7.658 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
7.658 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
7.658 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
7.659 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
7.660 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))
7.661 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))
7.663 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
7.664 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))
7.665 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))))
7.667 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))))
7.674 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3))))))))
7.676 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))))
7.676 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0
7.676 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n
7.676 * [taylor]: Taking taylor expansion of 1.0 in n
7.676 * [backup-simplify]: Simplify 1.0 into 1.0
7.676 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n
7.676 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n
7.677 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
7.677 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
7.677 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
7.677 * [taylor]: Taking taylor expansion of 0.5 in n
7.677 * [backup-simplify]: Simplify 0.5 into 0.5
7.677 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
7.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.677 * [taylor]: Taking taylor expansion of k in n
7.677 * [backup-simplify]: Simplify k into k
7.677 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.677 * [taylor]: Taking taylor expansion of 1.0 in n
7.677 * [backup-simplify]: Simplify 1.0 into 1.0
7.677 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
7.677 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
7.677 * [taylor]: Taking taylor expansion of -2.0 in n
7.677 * [backup-simplify]: Simplify -2.0 into -2.0
7.677 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.677 * [taylor]: Taking taylor expansion of PI in n
7.677 * [backup-simplify]: Simplify PI into PI
7.677 * [taylor]: Taking taylor expansion of n in n
7.677 * [backup-simplify]: Simplify 0 into 0
7.677 * [backup-simplify]: Simplify 1 into 1
7.678 * [backup-simplify]: Simplify (/ PI 1) into PI
7.678 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
7.680 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
7.680 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
7.680 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
7.682 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
7.683 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))
7.684 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
7.684 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
7.684 * [taylor]: Taking taylor expansion of (/ -1 k) in n
7.685 * [taylor]: Taking taylor expansion of -1 in n
7.685 * [backup-simplify]: Simplify -1 into -1
7.685 * [taylor]: Taking taylor expansion of k in n
7.685 * [backup-simplify]: Simplify k into k
7.685 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
7.685 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
7.685 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
7.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
7.686 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))
7.686 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k
7.686 * [taylor]: Taking taylor expansion of 1.0 in k
7.686 * [backup-simplify]: Simplify 1.0 into 1.0
7.686 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k
7.686 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
7.686 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
7.687 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
7.687 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
7.687 * [taylor]: Taking taylor expansion of 0.5 in k
7.687 * [backup-simplify]: Simplify 0.5 into 0.5
7.687 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
7.687 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.687 * [taylor]: Taking taylor expansion of k in k
7.687 * [backup-simplify]: Simplify 0 into 0
7.687 * [backup-simplify]: Simplify 1 into 1
7.687 * [backup-simplify]: Simplify (/ 1 1) into 1
7.687 * [taylor]: Taking taylor expansion of 1.0 in k
7.687 * [backup-simplify]: Simplify 1.0 into 1.0
7.687 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
7.687 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
7.687 * [taylor]: Taking taylor expansion of -2.0 in k
7.687 * [backup-simplify]: Simplify -2.0 into -2.0
7.687 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.687 * [taylor]: Taking taylor expansion of PI in k
7.687 * [backup-simplify]: Simplify PI into PI
7.687 * [taylor]: Taking taylor expansion of n in k
7.687 * [backup-simplify]: Simplify n into n
7.687 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.687 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
7.687 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
7.688 * [backup-simplify]: Simplify (+ 1 0) into 1
7.688 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
7.688 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
7.689 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))
7.689 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
7.689 * [taylor]: Taking taylor expansion of (/ -1 k) in k
7.689 * [taylor]: Taking taylor expansion of -1 in k
7.689 * [backup-simplify]: Simplify -1 into -1
7.689 * [taylor]: Taking taylor expansion of k in k
7.689 * [backup-simplify]: Simplify 0 into 0
7.689 * [backup-simplify]: Simplify 1 into 1
7.689 * [backup-simplify]: Simplify (/ -1 1) into -1
7.689 * [backup-simplify]: Simplify (sqrt 0) into 0
7.691 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.691 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))
7.691 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k
7.691 * [taylor]: Taking taylor expansion of 1.0 in k
7.691 * [backup-simplify]: Simplify 1.0 into 1.0
7.691 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k
7.691 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k
7.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
7.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
7.691 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
7.691 * [taylor]: Taking taylor expansion of 0.5 in k
7.691 * [backup-simplify]: Simplify 0.5 into 0.5
7.691 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
7.691 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.691 * [taylor]: Taking taylor expansion of k in k
7.691 * [backup-simplify]: Simplify 0 into 0
7.691 * [backup-simplify]: Simplify 1 into 1
7.692 * [backup-simplify]: Simplify (/ 1 1) into 1
7.692 * [taylor]: Taking taylor expansion of 1.0 in k
7.692 * [backup-simplify]: Simplify 1.0 into 1.0
7.692 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
7.692 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
7.692 * [taylor]: Taking taylor expansion of -2.0 in k
7.692 * [backup-simplify]: Simplify -2.0 into -2.0
7.692 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.692 * [taylor]: Taking taylor expansion of PI in k
7.692 * [backup-simplify]: Simplify PI into PI
7.692 * [taylor]: Taking taylor expansion of n in k
7.692 * [backup-simplify]: Simplify n into n
7.692 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.692 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
7.692 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
7.692 * [backup-simplify]: Simplify (+ 1 0) into 1
7.693 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
7.693 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n))))
7.693 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))
7.693 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
7.693 * [taylor]: Taking taylor expansion of (/ -1 k) in k
7.694 * [taylor]: Taking taylor expansion of -1 in k
7.694 * [backup-simplify]: Simplify -1 into -1
7.694 * [taylor]: Taking taylor expansion of k in k
7.694 * [backup-simplify]: Simplify 0 into 0
7.694 * [backup-simplify]: Simplify 1 into 1
7.694 * [backup-simplify]: Simplify (/ -1 1) into -1
7.694 * [backup-simplify]: Simplify (sqrt 0) into 0
7.695 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
7.696 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))
7.696 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))
7.696 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n
7.696 * [taylor]: Taking taylor expansion of +nan.0 in n
7.696 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.696 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n
7.696 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n
7.696 * [taylor]: Taking taylor expansion of 0.5 in n
7.696 * [backup-simplify]: Simplify 0.5 into 0.5
7.696 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n
7.696 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
7.696 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
7.696 * [taylor]: Taking taylor expansion of -2.0 in n
7.696 * [backup-simplify]: Simplify -2.0 into -2.0
7.696 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.697 * [taylor]: Taking taylor expansion of PI in n
7.697 * [backup-simplify]: Simplify PI into PI
7.697 * [taylor]: Taking taylor expansion of n in n
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify 1 into 1
7.697 * [backup-simplify]: Simplify (/ PI 1) into PI
7.697 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
7.698 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
7.698 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
7.698 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.698 * [taylor]: Taking taylor expansion of k in n
7.698 * [backup-simplify]: Simplify k into k
7.698 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.698 * [taylor]: Taking taylor expansion of 1.0 in n
7.698 * [backup-simplify]: Simplify 1.0 into 1.0
7.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
7.699 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
7.701 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))
7.702 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))
7.703 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
7.704 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))
7.705 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))
7.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.708 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.709 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))
7.711 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))
7.712 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n
7.712 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n
7.712 * [taylor]: Taking taylor expansion of +nan.0 in n
7.712 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n
7.712 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n
7.712 * [taylor]: Taking taylor expansion of 0.5 in n
7.712 * [backup-simplify]: Simplify 0.5 into 0.5
7.712 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n
7.712 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
7.712 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
7.712 * [taylor]: Taking taylor expansion of -2.0 in n
7.712 * [backup-simplify]: Simplify -2.0 into -2.0
7.712 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.712 * [taylor]: Taking taylor expansion of PI in n
7.712 * [backup-simplify]: Simplify PI into PI
7.712 * [taylor]: Taking taylor expansion of n in n
7.712 * [backup-simplify]: Simplify 0 into 0
7.712 * [backup-simplify]: Simplify 1 into 1
7.713 * [backup-simplify]: Simplify (/ PI 1) into PI
7.713 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
7.715 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
7.715 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
7.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.715 * [taylor]: Taking taylor expansion of k in n
7.715 * [backup-simplify]: Simplify k into k
7.715 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.715 * [taylor]: Taking taylor expansion of 1.0 in n
7.715 * [backup-simplify]: Simplify 1.0 into 1.0
7.717 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
7.717 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
7.719 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))
7.721 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))
7.723 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
7.725 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))
7.728 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))))
7.731 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))))
7.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
7.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.733 * [backup-simplify]: Simplify (+ 0 0) into 0
7.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.735 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
7.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
7.739 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0
7.742 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into 0
7.745 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.748 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into 0
7.748 * [backup-simplify]: Simplify 0 into 0
7.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.755 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))
7.757 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))
7.757 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n
7.757 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n
7.757 * [taylor]: Taking taylor expansion of +nan.0 in n
7.757 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.757 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n
7.757 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n
7.757 * [taylor]: Taking taylor expansion of 0.5 in n
7.757 * [backup-simplify]: Simplify 0.5 into 0.5
7.757 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n
7.757 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
7.757 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
7.757 * [taylor]: Taking taylor expansion of -2.0 in n
7.757 * [backup-simplify]: Simplify -2.0 into -2.0
7.757 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.757 * [taylor]: Taking taylor expansion of PI in n
7.757 * [backup-simplify]: Simplify PI into PI
7.757 * [taylor]: Taking taylor expansion of n in n
7.757 * [backup-simplify]: Simplify 0 into 0
7.757 * [backup-simplify]: Simplify 1 into 1
7.757 * [backup-simplify]: Simplify (/ PI 1) into PI
7.758 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
7.759 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
7.759 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
7.759 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.759 * [taylor]: Taking taylor expansion of k in n
7.759 * [backup-simplify]: Simplify k into k
7.759 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.759 * [taylor]: Taking taylor expansion of 1.0 in n
7.759 * [backup-simplify]: Simplify 1.0 into 1.0
7.760 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
7.760 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
7.761 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))
7.762 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))
7.764 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
7.765 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))
7.770 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))))
7.772 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))))
7.778 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))))))))
7.778 * * * [progress]: simplifying candidates
7.778 * * * * [progress]: [ 1 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.778 * * * * [progress]: [ 2 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (log1p (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.778 * * * * [progress]: [ 3 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (expm1 (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.778 * * * * [progress]: [ 4 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))))>
7.778 * * * * [progress]: [ 5 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))))>
7.778 * * * * [progress]: [ 6 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))))>
7.778 * * * * [progress]: [ 7 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))))>
7.778 * * * * [progress]: [ 8 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* 1 (/ (- 1.0 k) 2.0)))))>
7.778 * * * * [progress]: [ 9 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* 1 (/ (- 1.0 k) 2.0)))))>
7.778 * * * * [progress]: [ 10 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* 1 (/ (- 1.0 k) 2.0)))))>
7.778 * * * * [progress]: [ 11 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))>
7.779 * * * * [progress]: [ 12 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (cbrt (/ (- 1.0 k) 2.0)))))>
7.779 * * * * [progress]: [ 13 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (sqrt (/ (- 1.0 k) 2.0)))))>
7.779 * * * * [progress]: [ 14 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))))>
7.779 * * * * [progress]: [ 15 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (/ (cbrt (- 1.0 k)) (sqrt 2.0)))))>
7.779 * * * * [progress]: [ 16 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (/ (cbrt (- 1.0 k)) 2.0))))>
7.779 * * * * [progress]: [ 17 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (- 1.0 k)) (cbrt 2.0)))))>
7.779 * * * * [progress]: [ 18 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))))>
7.779 * * * * [progress]: [ 19 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (/ (sqrt (- 1.0 k)) 2.0))))>
7.779 * * * * [progress]: [ 20 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (/ (- 1.0 k) (cbrt 2.0)))))>
7.779 * * * * [progress]: [ 21 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (/ (- 1.0 k) (sqrt 2.0)))))>
7.779 * * * * [progress]: [ 22 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ 1 1)) (/ (- 1.0 k) 2.0))))>
7.779 * * * * [progress]: [ 23 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (/ (- (sqrt 1.0) (sqrt k)) (cbrt 2.0)))))>
7.779 * * * * [progress]: [ 24 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (/ (- (sqrt 1.0) (sqrt k)) (sqrt 2.0)))))>
7.779 * * * * [progress]: [ 25 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))))>
7.780 * * * * [progress]: [ 26 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (/ (- 1.0 k) (cbrt 2.0)))))>
7.780 * * * * [progress]: [ 27 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (/ (- 1.0 k) (sqrt 2.0)))))>
7.780 * * * * [progress]: [ 28 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ 1 1)) (/ (- 1.0 k) 2.0))))>
7.780 * * * * [progress]: [ 29 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) 1) (/ (- 1.0 k) 2.0))))>
7.780 * * * * [progress]: [ 30 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (- 1.0 k)) (/ 1 2.0))))>
7.780 * * * * [progress]: [ 31 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
7.780 * * * * [progress]: [ 32 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 1)))>
7.780 * * * * [progress]: [ 33 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.780 * * * * [progress]: [ 34 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (log (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.780 * * * * [progress]: [ 35 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.780 * * * * [progress]: [ 36 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (cbrt (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.780 * * * * [progress]: [ 37 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.780 * * * * [progress]: [ 38 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.780 * * * * [progress]: [ 39 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
7.780 * * * * [progress]: [ 40 / 173 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.780 * * * * [progress]: [ 41 / 173 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.781 * * * * [progress]: [ 42 / 173 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.781 * * * * [progress]: [ 43 / 173 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1.0 (sqrt k)) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.781 * * * * [progress]: [ 44 / 173 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log 1.0) (log (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.781 * * * * [progress]: [ 45 / 173 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.781 * * * * [progress]: [ 46 / 173 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.781 * * * * [progress]: [ 47 / 173 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.781 * * * * [progress]: [ 48 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.781 * * * * [progress]: [ 49 / 173 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.781 * * * * [progress]: [ 50 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.781 * * * * [progress]: [ 51 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1.0) (- (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.781 * * * * [progress]: [ 52 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.781 * * * * [progress]: [ 53 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.781 * * * * [progress]: [ 54 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.782 * * * * [progress]: [ 55 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.782 * * * * [progress]: [ 56 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.782 * * * * [progress]: [ 57 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.782 * * * * [progress]: [ 58 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.782 * * * * [progress]: [ 59 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.782 * * * * [progress]: [ 60 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.782 * * * * [progress]: [ 61 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.782 * * * * [progress]: [ 62 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.782 * * * * [progress]: [ 63 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.782 * * * * [progress]: [ 64 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.782 * * * * [progress]: [ 65 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.782 * * * * [progress]: [ 66 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.782 * * * * [progress]: [ 67 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 68 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 69 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 70 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 71 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* 1.0 (/ 1 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 72 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 73 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 74 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 75 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 76 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt 1)) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 77 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 78 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 1) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 79 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 80 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1.0) (/ (sqrt k) (sqrt 1.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 81 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 82 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (posit16->real (real->posit16 (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0))))>
7.783 * * * * [progress]: [ 83 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (log1p (expm1 (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 84 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (expm1 (log1p (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 85 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) 1) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 86 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) 1) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 87 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (pow (* (* 2.0 PI) n) 1) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 88 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (exp (+ (+ (log 2.0) (log PI)) (log n))) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 89 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (exp (+ (log (* 2.0 PI)) (log n))) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 90 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (exp (log (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 91 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (log (exp (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 92 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (cbrt (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 93 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (cbrt (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n))) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 94 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 95 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (cbrt (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 96 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 97 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* 1 (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))>
7.784 * * * * [progress]: [ 98 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))))>
7.785 * * * * [progress]: [ 99 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))))>
7.785 * * * * [progress]: [ 100 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) 1) n) (/ (- 1.0 k) 2.0))))>
7.785 * * * * [progress]: [ 101 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))))>
7.785 * * * * [progress]: [ 102 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* n (* 2.0 PI)) (/ (- 1.0 k) 2.0))))>
7.785 * * * * [progress]: [ 103 / 173 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.785 * * * * [progress]: [ 104 / 173 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.785 * * * * [progress]: [ 105 / 173 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.785 * * * * [progress]: [ 106 / 173 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1))>
7.785 * * * * [progress]: [ 107 / 173 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))))>
7.785 * * * * [progress]: [ 108 / 173 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))))>
7.785 * * * * [progress]: [ 109 / 173 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))))>
7.785 * * * * [progress]: [ 110 / 173 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))))>
7.785 * * * * [progress]: [ 111 / 173 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.785 * * * * [progress]: [ 112 / 173 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))))>
7.785 * * * * [progress]: [ 113 / 173 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))))>
7.786 * * * * [progress]: [ 114 / 173 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))))>
7.786 * * * * [progress]: [ 115 / 173 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))))>
7.786 * * * * [progress]: [ 116 / 173 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.786 * * * * [progress]: [ 117 / 173 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.786 * * * * [progress]: [ 118 / 173 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.786 * * * * [progress]: [ 119 / 173 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.786 * * * * [progress]: [ 120 / 173 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.786 * * * * [progress]: [ 121 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.786 * * * * [progress]: [ 122 / 173 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.786 * * * * [progress]: [ 123 / 173 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.786 * * * * [progress]: [ 124 / 173 ] simplifiying candidate #<alt (λ (k n) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))>
7.786 * * * * [progress]: [ 125 / 173 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.786 * * * * [progress]: [ 126 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.787 * * * * [progress]: [ 127 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
7.787 * * * * [progress]: [ 128 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.787 * * * * [progress]: [ 129 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
7.787 * * * * [progress]: [ 130 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))>
7.787 * * * * [progress]: [ 131 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
7.787 * * * * [progress]: [ 132 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))>
7.787 * * * * [progress]: [ 133 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.787 * * * * [progress]: [ 134 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.787 * * * * [progress]: [ 135 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.787 * * * * [progress]: [ 136 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))>
7.787 * * * * [progress]: [ 137 / 173 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.787 * * * * [progress]: [ 138 / 173 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.787 * * * * [progress]: [ 139 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.787 * * * * [progress]: [ 140 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 141 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 142 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 143 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 144 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 145 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 146 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 147 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 148 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1.0) (sqrt 1)) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 149 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 150 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 151 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 152 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 153 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.788 * * * * [progress]: [ 154 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.789 * * * * [progress]: [ 155 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.789 * * * * [progress]: [ 156 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.789 * * * * [progress]: [ 157 / 173 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.789 * * * * [progress]: [ 158 / 173 ] simplifiying candidate #<alt (λ (k n) (* 1.0 (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))>
7.789 * * * * [progress]: [ 159 / 173 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))>
7.789 * * * * [progress]: [ 160 / 173 ] simplifiying candidate #<alt (λ (k n) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))>
7.789 * * * * [progress]: [ 161 / 173 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))>
7.789 * * * * [progress]: [ 162 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k)))))))>
7.789 * * * * [progress]: [ 163 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n))))))))>
7.789 * * * * [progress]: [ 164 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))>
7.789 * * * * [progress]: [ 165 / 173 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.789 * * * * [progress]: [ 166 / 173 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.789 * * * * [progress]: [ 167 / 173 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
7.789 * * * * [progress]: [ 168 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))))>
7.789 * * * * [progress]: [ 169 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))))>
7.790 * * * * [progress]: [ 170 / 173 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))))>
7.790 * * * * [progress]: [ 171 / 173 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))))>
7.790 * * * * [progress]: [ 172 / 173 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
7.790 * * * * [progress]: [ 173 / 173 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))))>
7.794 * [simplify]: Simplifying:
  (real->posit16 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (pow (* (* 2.0 PI) n) (/ 1.0 2.0))
  (pow (* (* 2.0 PI) n) (/ k 2.0))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) 1)
  (pow (* (* 2.0 PI) n) (- 1.0 k))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
  (real->posit16 (/ 1.0 (sqrt k)))
  (expm1 (/ 1.0 (sqrt k)))
  (log1p (/ 1.0 (sqrt k)))
  (- (log 1.0) (log (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (exp (/ 1.0 (sqrt k)))
  (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))
  (cbrt (/ 1.0 (sqrt k)))
  (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (- 1.0)
  (- (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1.0) (cbrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1.0) (sqrt (cbrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))
  (/ (cbrt 1.0) (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) 1)
  (/ (cbrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1.0) (cbrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1.0) (sqrt (cbrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt 1))
  (/ (sqrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) 1)
  (/ (sqrt 1.0) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1.0 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1.0)
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 (sqrt 1))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 1)
  (/ (sqrt k) (cbrt 1.0))
  (/ (sqrt k) (sqrt 1.0))
  (/ (sqrt k) 1.0)
  (real->posit16 (* (* 2.0 PI) n))
  (expm1 (* (* 2.0 PI) n))
  (log1p (* (* 2.0 PI) n))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (+ (+ (log 2.0) (log PI)) (log n))
  (+ (log (* 2.0 PI)) (log n))
  (log (* (* 2.0 PI) n))
  (exp (* (* 2.0 PI) n))
  (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n))
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (* (* 2.0 PI) (* (cbrt n) (cbrt n)))
  (* (* 2.0 PI) (sqrt n))
  (* (* 2.0 PI) 1)
  (* PI n)
  (real->posit16 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))
  (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))
  (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
  (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))
  (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
  (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
  (* (/ 1.0 (sqrt k)) 1)
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
  (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
  (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k)))))
  (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n))))))
  (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2)))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))))))))
7.805 * * [simplify]: iteration 0: 365 enodes
8.240 * * [simplify]: iteration 1: 1014 enodes
9.583 * * [simplify]: iteration 2: 3368 enodes
13.069 * * [simplify]: iteration complete: 5001 enodes
13.069 * * [simplify]: Extracting #0: cost 129 inf + 0
13.070 * * [simplify]: Extracting #1: cost 644 inf + 43
13.074 * * [simplify]: Extracting #2: cost 1081 inf + 1715
13.082 * * [simplify]: Extracting #3: cost 1080 inf + 26524
13.113 * * [simplify]: Extracting #4: cost 662 inf + 168564
13.201 * * [simplify]: Extracting #5: cost 387 inf + 322240
13.274 * * [simplify]: Extracting #6: cost 183 inf + 497297
13.402 * * [simplify]: Extracting #7: cost 55 inf + 616474
13.567 * * [simplify]: Extracting #8: cost 8 inf + 670030
13.797 * * [simplify]: Extracting #9: cost 1 inf + 670730
14.018 * * [simplify]: Extracting #10: cost 0 inf + 670223
14.198 * * [simplify]: Extracting #11: cost 0 inf + 670193
14.419 * [simplify]: Simplified to:
  (real->posit16 (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (expm1 (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (log1p (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (* (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))))
  (* (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))))
  (* (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))))
  (* (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))))
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (pow (* n (* PI 2.0)) (/ 1.0 2.0))
  (pow (* n (* PI 2.0)) (/ k 2.0))
  (pow (* n (* PI 2.0)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* n (* PI 2.0)) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k))))
  (pow (* n (* PI 2.0)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))))
  (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* n (* PI 2.0)) (sqrt (- 1.0 k)))
  (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0)))
  (* n (* PI 2.0))
  (pow (* n (* PI 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* n (* PI 2.0)) (+ (sqrt 1.0) (sqrt k)))
  (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0)))
  (* n (* PI 2.0))
  (* n (* PI 2.0))
  (pow (* n (* PI 2.0)) (- 1.0 k))
  (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (* (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))))
  (exp (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))
  (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (* (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))
  (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))
  (real->posit16 (/ 1.0 (sqrt k)))
  (expm1 (/ 1.0 (sqrt k)))
  (log1p (/ 1.0 (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (exp (/ 1.0 (sqrt k)))
  (* (/ 1.0 k) (/ (* 1.0 1.0) (sqrt k)))
  (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))
  (cbrt (/ 1.0 (sqrt k)))
  (* (/ 1.0 k) (/ (* 1.0 1.0) (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (- 1.0)
  (- (sqrt k))
  (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k))))
  (/ (cbrt 1.0) (cbrt (sqrt k)))
  (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))
  (/ (cbrt 1.0) (sqrt (cbrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1.0) (cbrt (sqrt k)))
  (/ (sqrt 1.0) (fabs (cbrt k)))
  (/ (sqrt 1.0) (sqrt (cbrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (sqrt 1.0)
  (/ (sqrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (sqrt 1.0)
  (/ (sqrt 1.0) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1.0 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1.0 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1.0)
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (fabs (cbrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1.0
  (/ 1.0 (sqrt (sqrt k)))
  1.0
  (/ (sqrt k) (cbrt 1.0))
  (/ (sqrt k) (sqrt 1.0))
  (/ (sqrt k) 1.0)
  (real->posit16 (* n (* PI 2.0)))
  (expm1 (* n (* PI 2.0)))
  (log1p (* n (* PI 2.0)))
  (* n (* PI 2.0))
  (* n (* PI 2.0))
  (log (* n (* PI 2.0)))
  (log (* n (* PI 2.0)))
  (log (* n (* PI 2.0)))
  (exp (* n (* PI 2.0)))
  (* (* (* n (* PI 2.0)) (sqrt (* n (* PI 2.0)))) (* (* n (* PI 2.0)) (sqrt (* n (* PI 2.0)))))
  (* (* (* n (* PI 2.0)) (sqrt (* n (* PI 2.0)))) (* (* n (* PI 2.0)) (sqrt (* n (* PI 2.0)))))
  (* (cbrt (* n (* PI 2.0))) (cbrt (* n (* PI 2.0))))
  (cbrt (* n (* PI 2.0)))
  (* (* (* n (* PI 2.0)) (sqrt (* n (* PI 2.0)))) (* (* n (* PI 2.0)) (sqrt (* n (* PI 2.0)))))
  (sqrt (* n (* PI 2.0)))
  (sqrt (* n (* PI 2.0)))
  (* 2.0 (* (* PI (cbrt n)) (cbrt n)))
  (* (sqrt n) (* 2.0 PI))
  (* 2.0 PI)
  (* n PI)
  (real->posit16 (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))
  (expm1 (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))
  (log1p (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))
  (fma (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k))))
  (fma (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k))))
  (fma (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k))))
  (fma (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k))))
  (fma (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k))))
  (fma (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k))))
  (fma (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k))))
  (fma (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k))))
  (fma (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k))))
  (fma (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k))))
  (fma (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0) (log (/ 1.0 (sqrt k))))
  (exp (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))
  (* (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))))
  (* (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))))
  (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))))
  (cbrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))
  (* (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))))
  (sqrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))
  (sqrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))
  (* (pow (* n (* PI 2.0)) (/ 1.0 2.0)) 1.0)
  (* (pow (* n (* PI 2.0)) (/ k 2.0)) (sqrt k))
  (* (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k))))
  (* (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k))))
  (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0))) (sqrt (/ 1.0 (sqrt k))))
  (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0))) (sqrt (/ 1.0 (sqrt k))))
  (/ (* (sqrt 1.0) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k)))
  (/ (* (sqrt 1.0) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))))
  (/ (* (sqrt 1.0) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k)))
  (/ (* (sqrt 1.0) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))))
  (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0)))))
  (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (* (* (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)))
  (* (/ 1.0 (sqrt k)) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))
  (/ 1.0 (sqrt k))
  (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* 2 2.0))) (/ 1.0 (sqrt k)))
  (* (cbrt (/ 1.0 (sqrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (* (sqrt (/ 1.0 (sqrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (/ (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (cbrt (sqrt k)))
  (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (/ (* (cbrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))
  (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k)))
  (/ (* (cbrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))
  (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k)))
  (/ (* (sqrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k)))
  (/ (* (sqrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k)))
  (/ (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (sqrt (sqrt k)))
  (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt k)))
  (/ (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (sqrt (sqrt k)))
  (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt k)))
  (* (/ 1.0 (cbrt (sqrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (cbrt k))))
  (/ (* 1.0 (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))
  (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (/ (* 1.0 (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))
  (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))
  (/ (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k))
  (/ 1.0 (/ (sqrt k) (pow (* n (* PI 2.0)) (/ 1.0 2.0))))
  (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) 1.0)
  (- (fma (* (* (* k k) (log n)) (exp (* 0.5 (log (* n (* PI 2.0)))))) (* (log (* 2.0 PI)) 0.25) (fma (* (* (log (* 2.0 PI)) (log (* 2.0 PI))) 0.125) (* (* k k) (exp (* 0.5 (log (* n (* PI 2.0)))))) (fma (exp (* 0.5 (log (* n (* PI 2.0))))) (* (* (* (* k k) (log n)) (log n)) 0.125) (exp (* 0.5 (log (* n (* PI 2.0)))))))) (* (* k (fma (exp (* 0.5 (log (* n (* PI 2.0))))) (log n) (* (exp (* 0.5 (log (* n (* PI 2.0))))) (log (* 2.0 PI))))) 0.5))
  (exp (* (* (- 1.0 k) 0.5) (log (* n (* PI 2.0)))))
  (exp (* (* 0.5 (- (log (* PI -2.0)) (log (/ -1 n)))) (- 1.0 k)))
  (- (- (fma (* k k) +nan.0 (* +nan.0 k)) +nan.0))
  (+ (- (/ +nan.0 (* k k))) (- (/ +nan.0 k) (/ +nan.0 (* k (* k k)))))
  (- (- (fma (/ +nan.0 k) (/ 1 k) +nan.0) (/ +nan.0 k)))
  (* n (* PI 2.0))
  (* n (* PI 2.0))
  (* n (* PI 2.0))
  (fma (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) k (fma (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k k) (fma (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* (* k k) (log n)) (- (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* k (log (* 2.0 PI))) (* k (log (* 2.0 PI)))))) (fma (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* (* (* k k) (log n)) (log (* 2.0 PI))) (- (* (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (log (* 2.0 PI)))) (fma (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (log n)) (fma (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* (* k k) (log (* 2.0 PI)))) (* (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* k (log n)) (* k (log n))))))))))))
  (- (- (/ (* (exp (* (* (- 1.0 k) 0.5) (log (* n (* PI 2.0))))) +nan.0) (* k k)) (- (/ (* +nan.0 (exp (* (* (- 1.0 k) 0.5) (log (* n (* PI 2.0)))))) k) (/ (* (exp (* (* (- 1.0 k) 0.5) (log (* n (* PI 2.0))))) +nan.0) (* k (* k k))))))
  (fma (exp (* (* 0.5 (- (log (* PI -2.0)) (log (/ -1 n)))) (- 1.0 k))) (- +nan.0) (fma +nan.0 (/ (exp (* (* 0.5 (- (log (* PI -2.0)) (log (/ -1 n)))) (- 1.0 k))) k) (* (/ (- +nan.0) k) (/ (exp (* (* 0.5 (- (log (* PI -2.0)) (log (/ -1 n)))) (- 1.0 k))) k))))
14.443 * * * [progress]: adding candidates to table
16.317 * * [progress]: iteration 2 / 4
16.317 * * * [progress]: picking best candidate
16.451 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
16.451 * * * [progress]: localizing error
16.552 * * * [progress]: generating rewritten candidates
16.552 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
16.622 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
16.696 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
16.713 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
16.784 * * * [progress]: generating series expansions
16.784 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
16.786 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k)))
16.786 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0
16.786 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k
16.786 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
16.786 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
16.786 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k
16.786 * [taylor]: Taking taylor expansion of 0.25 in k
16.787 * [backup-simplify]: Simplify 0.25 into 0.25
16.787 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
16.787 * [taylor]: Taking taylor expansion of 1.0 in k
16.787 * [backup-simplify]: Simplify 1.0 into 1.0
16.787 * [taylor]: Taking taylor expansion of k in k
16.787 * [backup-simplify]: Simplify 0 into 0
16.787 * [backup-simplify]: Simplify 1 into 1
16.787 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
16.787 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
16.787 * [taylor]: Taking taylor expansion of 2.0 in k
16.787 * [backup-simplify]: Simplify 2.0 into 2.0
16.787 * [taylor]: Taking taylor expansion of (* n PI) in k
16.787 * [taylor]: Taking taylor expansion of n in k
16.787 * [backup-simplify]: Simplify n into n
16.787 * [taylor]: Taking taylor expansion of PI in k
16.787 * [backup-simplify]: Simplify PI into PI
16.787 * [backup-simplify]: Simplify (* n PI) into (* n PI)
16.787 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
16.788 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
16.788 * [backup-simplify]: Simplify (- 0) into 0
16.789 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
16.789 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25
16.790 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI))))
16.790 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25)
16.790 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n
16.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
16.790 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
16.790 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n
16.790 * [taylor]: Taking taylor expansion of 0.25 in n
16.791 * [backup-simplify]: Simplify 0.25 into 0.25
16.791 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
16.791 * [taylor]: Taking taylor expansion of 1.0 in n
16.791 * [backup-simplify]: Simplify 1.0 into 1.0
16.791 * [taylor]: Taking taylor expansion of k in n
16.791 * [backup-simplify]: Simplify k into k
16.791 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
16.791 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
16.791 * [taylor]: Taking taylor expansion of 2.0 in n
16.791 * [backup-simplify]: Simplify 2.0 into 2.0
16.791 * [taylor]: Taking taylor expansion of (* n PI) in n
16.791 * [taylor]: Taking taylor expansion of n in n
16.791 * [backup-simplify]: Simplify 0 into 0
16.791 * [backup-simplify]: Simplify 1 into 1
16.791 * [taylor]: Taking taylor expansion of PI in n
16.791 * [backup-simplify]: Simplify PI into PI
16.792 * [backup-simplify]: Simplify (* 0 PI) into 0
16.792 * [backup-simplify]: Simplify (* 2.0 0) into 0
16.794 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.796 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
16.797 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
16.797 * [backup-simplify]: Simplify (- k) into (- k)
16.797 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
16.798 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k))
16.800 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
16.801 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
16.803 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
16.803 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n
16.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
16.803 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
16.803 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n
16.803 * [taylor]: Taking taylor expansion of 0.25 in n
16.803 * [backup-simplify]: Simplify 0.25 into 0.25
16.803 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
16.803 * [taylor]: Taking taylor expansion of 1.0 in n
16.803 * [backup-simplify]: Simplify 1.0 into 1.0
16.803 * [taylor]: Taking taylor expansion of k in n
16.803 * [backup-simplify]: Simplify k into k
16.803 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
16.803 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
16.803 * [taylor]: Taking taylor expansion of 2.0 in n
16.803 * [backup-simplify]: Simplify 2.0 into 2.0
16.803 * [taylor]: Taking taylor expansion of (* n PI) in n
16.803 * [taylor]: Taking taylor expansion of n in n
16.803 * [backup-simplify]: Simplify 0 into 0
16.803 * [backup-simplify]: Simplify 1 into 1
16.803 * [taylor]: Taking taylor expansion of PI in n
16.803 * [backup-simplify]: Simplify PI into PI
16.804 * [backup-simplify]: Simplify (* 0 PI) into 0
16.804 * [backup-simplify]: Simplify (* 2.0 0) into 0
16.805 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
16.806 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
16.807 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
16.807 * [backup-simplify]: Simplify (- k) into (- k)
16.807 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
16.807 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k))
16.808 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
16.809 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
16.810 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
16.811 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k
16.811 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k
16.811 * [taylor]: Taking taylor expansion of 0.25 in k
16.811 * [backup-simplify]: Simplify 0.25 into 0.25
16.811 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k
16.811 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
16.811 * [taylor]: Taking taylor expansion of 1.0 in k
16.811 * [backup-simplify]: Simplify 1.0 into 1.0
16.811 * [taylor]: Taking taylor expansion of k in k
16.811 * [backup-simplify]: Simplify 0 into 0
16.811 * [backup-simplify]: Simplify 1 into 1
16.811 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
16.811 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
16.811 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
16.811 * [taylor]: Taking taylor expansion of 2.0 in k
16.811 * [backup-simplify]: Simplify 2.0 into 2.0
16.811 * [taylor]: Taking taylor expansion of PI in k
16.811 * [backup-simplify]: Simplify PI into PI
16.811 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
16.812 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
16.812 * [taylor]: Taking taylor expansion of (log n) in k
16.812 * [taylor]: Taking taylor expansion of n in k
16.812 * [backup-simplify]: Simplify n into n
16.812 * [backup-simplify]: Simplify (log n) into (log n)
16.813 * [backup-simplify]: Simplify (- 0) into 0
16.813 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
16.814 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
16.815 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n)))
16.816 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n)))
16.817 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))
16.818 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))
16.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
16.819 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
16.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
16.821 * [backup-simplify]: Simplify (- 0) into 0
16.821 * [backup-simplify]: Simplify (+ 0 0) into 0
16.821 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0
16.823 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
16.824 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
16.825 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.825 * [taylor]: Taking taylor expansion of 0 in k
16.825 * [backup-simplify]: Simplify 0 into 0
16.825 * [backup-simplify]: Simplify 0 into 0
16.826 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
16.827 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
16.828 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
16.828 * [backup-simplify]: Simplify (+ 0 0) into 0
16.828 * [backup-simplify]: Simplify (- 1) into -1
16.829 * [backup-simplify]: Simplify (+ 0 -1) into -1
16.830 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n)))
16.834 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))
16.840 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))))
16.844 * [backup-simplify]: Simplify (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))))
16.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
16.847 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
16.851 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
16.852 * [backup-simplify]: Simplify (- 0) into 0
16.852 * [backup-simplify]: Simplify (+ 0 0) into 0
16.853 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0
16.855 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
16.856 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
16.858 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.858 * [taylor]: Taking taylor expansion of 0 in k
16.858 * [backup-simplify]: Simplify 0 into 0
16.858 * [backup-simplify]: Simplify 0 into 0
16.858 * [backup-simplify]: Simplify 0 into 0
16.859 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
16.861 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
16.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
16.863 * [backup-simplify]: Simplify (+ 0 0) into 0
16.863 * [backup-simplify]: Simplify (- 0) into 0
16.863 * [backup-simplify]: Simplify (+ 0 0) into 0
16.865 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
16.867 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0
16.871 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))
16.876 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))
16.897 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k)))))
16.898 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))
16.898 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0
16.898 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k
16.899 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
16.899 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
16.899 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k
16.899 * [taylor]: Taking taylor expansion of 0.25 in k
16.899 * [backup-simplify]: Simplify 0.25 into 0.25
16.899 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
16.899 * [taylor]: Taking taylor expansion of 1.0 in k
16.899 * [backup-simplify]: Simplify 1.0 into 1.0
16.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.899 * [taylor]: Taking taylor expansion of k in k
16.899 * [backup-simplify]: Simplify 0 into 0
16.899 * [backup-simplify]: Simplify 1 into 1
16.899 * [backup-simplify]: Simplify (/ 1 1) into 1
16.899 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
16.899 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
16.899 * [taylor]: Taking taylor expansion of 2.0 in k
16.899 * [backup-simplify]: Simplify 2.0 into 2.0
16.899 * [taylor]: Taking taylor expansion of (/ PI n) in k
16.899 * [taylor]: Taking taylor expansion of PI in k
16.900 * [backup-simplify]: Simplify PI into PI
16.900 * [taylor]: Taking taylor expansion of n in k
16.900 * [backup-simplify]: Simplify n into n
16.900 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
16.900 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
16.900 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
16.901 * [backup-simplify]: Simplify (- 1) into -1
16.901 * [backup-simplify]: Simplify (+ 0 -1) into -1
16.902 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25
16.902 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n))))
16.903 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))
16.903 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n
16.903 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
16.903 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
16.903 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n
16.903 * [taylor]: Taking taylor expansion of 0.25 in n
16.903 * [backup-simplify]: Simplify 0.25 into 0.25
16.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
16.903 * [taylor]: Taking taylor expansion of 1.0 in n
16.903 * [backup-simplify]: Simplify 1.0 into 1.0
16.903 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.903 * [taylor]: Taking taylor expansion of k in n
16.903 * [backup-simplify]: Simplify k into k
16.903 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.904 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
16.904 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
16.904 * [taylor]: Taking taylor expansion of 2.0 in n
16.904 * [backup-simplify]: Simplify 2.0 into 2.0
16.904 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.904 * [taylor]: Taking taylor expansion of PI in n
16.904 * [backup-simplify]: Simplify PI into PI
16.904 * [taylor]: Taking taylor expansion of n in n
16.904 * [backup-simplify]: Simplify 0 into 0
16.904 * [backup-simplify]: Simplify 1 into 1
16.904 * [backup-simplify]: Simplify (/ PI 1) into PI
16.905 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
16.906 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
16.906 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
16.907 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
16.907 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k)))
16.909 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
16.911 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))
16.913 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
16.913 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n
16.913 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
16.913 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
16.913 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n
16.913 * [taylor]: Taking taylor expansion of 0.25 in n
16.913 * [backup-simplify]: Simplify 0.25 into 0.25
16.913 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
16.913 * [taylor]: Taking taylor expansion of 1.0 in n
16.913 * [backup-simplify]: Simplify 1.0 into 1.0
16.913 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.913 * [taylor]: Taking taylor expansion of k in n
16.913 * [backup-simplify]: Simplify k into k
16.913 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.914 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
16.914 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
16.914 * [taylor]: Taking taylor expansion of 2.0 in n
16.914 * [backup-simplify]: Simplify 2.0 into 2.0
16.914 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.914 * [taylor]: Taking taylor expansion of PI in n
16.914 * [backup-simplify]: Simplify PI into PI
16.914 * [taylor]: Taking taylor expansion of n in n
16.914 * [backup-simplify]: Simplify 0 into 0
16.914 * [backup-simplify]: Simplify 1 into 1
16.914 * [backup-simplify]: Simplify (/ PI 1) into PI
16.915 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
16.916 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
16.916 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
16.917 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
16.917 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k)))
16.919 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
16.920 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))
16.923 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
16.923 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k
16.923 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k
16.923 * [taylor]: Taking taylor expansion of 0.25 in k
16.923 * [backup-simplify]: Simplify 0.25 into 0.25
16.923 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k
16.923 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
16.923 * [taylor]: Taking taylor expansion of 1.0 in k
16.923 * [backup-simplify]: Simplify 1.0 into 1.0
16.923 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.923 * [taylor]: Taking taylor expansion of k in k
16.923 * [backup-simplify]: Simplify 0 into 0
16.923 * [backup-simplify]: Simplify 1 into 1
16.924 * [backup-simplify]: Simplify (/ 1 1) into 1
16.924 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
16.924 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
16.924 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
16.924 * [taylor]: Taking taylor expansion of 2.0 in k
16.924 * [backup-simplify]: Simplify 2.0 into 2.0
16.924 * [taylor]: Taking taylor expansion of PI in k
16.924 * [backup-simplify]: Simplify PI into PI
16.924 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
16.926 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
16.926 * [taylor]: Taking taylor expansion of (log n) in k
16.926 * [taylor]: Taking taylor expansion of n in k
16.926 * [backup-simplify]: Simplify n into n
16.926 * [backup-simplify]: Simplify (log n) into (log n)
16.926 * [backup-simplify]: Simplify (- 1) into -1
16.927 * [backup-simplify]: Simplify (+ 0 -1) into -1
16.927 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
16.929 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
16.931 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n)))
16.932 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n)))
16.935 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
16.937 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
16.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
16.939 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
16.941 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
16.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
16.941 * [backup-simplify]: Simplify (- 0) into 0
16.942 * [backup-simplify]: Simplify (+ 0 0) into 0
16.943 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0
16.945 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
16.947 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
16.950 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.950 * [taylor]: Taking taylor expansion of 0 in k
16.950 * [backup-simplify]: Simplify 0 into 0
16.950 * [backup-simplify]: Simplify 0 into 0
16.950 * [backup-simplify]: Simplify 0 into 0
16.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.953 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
16.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
16.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.957 * [backup-simplify]: Simplify (- 0) into 0
16.958 * [backup-simplify]: Simplify (+ 0 0) into 0
16.959 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0
16.961 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
16.963 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
16.967 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.967 * [taylor]: Taking taylor expansion of 0 in k
16.967 * [backup-simplify]: Simplify 0 into 0
16.967 * [backup-simplify]: Simplify 0 into 0
16.967 * [backup-simplify]: Simplify 0 into 0
16.967 * [backup-simplify]: Simplify 0 into 0
16.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.970 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
16.977 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
16.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
16.978 * [backup-simplify]: Simplify (- 0) into 0
16.978 * [backup-simplify]: Simplify (+ 0 0) into 0
16.979 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0
16.980 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
16.982 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0
16.984 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
16.984 * [taylor]: Taking taylor expansion of 0 in k
16.984 * [backup-simplify]: Simplify 0 into 0
16.984 * [backup-simplify]: Simplify 0 into 0
16.985 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n))))))
16.986 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0)))
16.986 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0
16.986 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k
16.986 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
16.986 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
16.986 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k
16.986 * [taylor]: Taking taylor expansion of 0.25 in k
16.986 * [backup-simplify]: Simplify 0.25 into 0.25
16.986 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
16.986 * [taylor]: Taking taylor expansion of (/ 1 k) in k
16.986 * [taylor]: Taking taylor expansion of k in k
16.987 * [backup-simplify]: Simplify 0 into 0
16.987 * [backup-simplify]: Simplify 1 into 1
16.987 * [backup-simplify]: Simplify (/ 1 1) into 1
16.987 * [taylor]: Taking taylor expansion of 1.0 in k
16.987 * [backup-simplify]: Simplify 1.0 into 1.0
16.987 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
16.987 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
16.987 * [taylor]: Taking taylor expansion of -2.0 in k
16.987 * [backup-simplify]: Simplify -2.0 into -2.0
16.987 * [taylor]: Taking taylor expansion of (/ PI n) in k
16.987 * [taylor]: Taking taylor expansion of PI in k
16.987 * [backup-simplify]: Simplify PI into PI
16.987 * [taylor]: Taking taylor expansion of n in k
16.987 * [backup-simplify]: Simplify n into n
16.987 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
16.987 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
16.987 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
16.988 * [backup-simplify]: Simplify (+ 1 0) into 1
16.988 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
16.988 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n))))
16.989 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))
16.989 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n
16.989 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
16.989 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
16.989 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n
16.989 * [taylor]: Taking taylor expansion of 0.25 in n
16.989 * [backup-simplify]: Simplify 0.25 into 0.25
16.989 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
16.989 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.989 * [taylor]: Taking taylor expansion of k in n
16.989 * [backup-simplify]: Simplify k into k
16.989 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.989 * [taylor]: Taking taylor expansion of 1.0 in n
16.989 * [backup-simplify]: Simplify 1.0 into 1.0
16.989 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
16.989 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
16.989 * [taylor]: Taking taylor expansion of -2.0 in n
16.989 * [backup-simplify]: Simplify -2.0 into -2.0
16.989 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.989 * [taylor]: Taking taylor expansion of PI in n
16.989 * [backup-simplify]: Simplify PI into PI
16.989 * [taylor]: Taking taylor expansion of n in n
16.989 * [backup-simplify]: Simplify 0 into 0
16.989 * [backup-simplify]: Simplify 1 into 1
16.989 * [backup-simplify]: Simplify (/ PI 1) into PI
16.990 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
16.991 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
16.991 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
16.991 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0))
16.992 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
16.993 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))
16.994 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
16.994 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n
16.994 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
16.994 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
16.994 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n
16.994 * [taylor]: Taking taylor expansion of 0.25 in n
16.994 * [backup-simplify]: Simplify 0.25 into 0.25
16.994 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
16.994 * [taylor]: Taking taylor expansion of (/ 1 k) in n
16.994 * [taylor]: Taking taylor expansion of k in n
16.994 * [backup-simplify]: Simplify k into k
16.994 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
16.994 * [taylor]: Taking taylor expansion of 1.0 in n
16.995 * [backup-simplify]: Simplify 1.0 into 1.0
16.995 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
16.995 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
16.995 * [taylor]: Taking taylor expansion of -2.0 in n
16.995 * [backup-simplify]: Simplify -2.0 into -2.0
16.995 * [taylor]: Taking taylor expansion of (/ PI n) in n
16.995 * [taylor]: Taking taylor expansion of PI in n
16.995 * [backup-simplify]: Simplify PI into PI
16.995 * [taylor]: Taking taylor expansion of n in n
16.995 * [backup-simplify]: Simplify 0 into 0
16.995 * [backup-simplify]: Simplify 1 into 1
16.995 * [backup-simplify]: Simplify (/ PI 1) into PI
16.995 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
16.996 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
16.996 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
16.996 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0))
16.997 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
16.999 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))
17.000 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
17.000 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k
17.000 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k
17.000 * [taylor]: Taking taylor expansion of 0.25 in k
17.000 * [backup-simplify]: Simplify 0.25 into 0.25
17.000 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k
17.000 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
17.000 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
17.000 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
17.000 * [taylor]: Taking taylor expansion of -2.0 in k
17.000 * [backup-simplify]: Simplify -2.0 into -2.0
17.000 * [taylor]: Taking taylor expansion of PI in k
17.000 * [backup-simplify]: Simplify PI into PI
17.000 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
17.001 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
17.001 * [taylor]: Taking taylor expansion of (log n) in k
17.001 * [taylor]: Taking taylor expansion of n in k
17.001 * [backup-simplify]: Simplify n into n
17.001 * [backup-simplify]: Simplify (log n) into (log n)
17.001 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
17.001 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.001 * [taylor]: Taking taylor expansion of k in k
17.001 * [backup-simplify]: Simplify 0 into 0
17.001 * [backup-simplify]: Simplify 1 into 1
17.002 * [backup-simplify]: Simplify (/ 1 1) into 1
17.002 * [taylor]: Taking taylor expansion of 1.0 in k
17.002 * [backup-simplify]: Simplify 1.0 into 1.0
17.002 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.003 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
17.003 * [backup-simplify]: Simplify (+ 1 0) into 1
17.004 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n))
17.005 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n)))
17.006 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
17.008 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
17.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.009 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
17.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
17.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.011 * [backup-simplify]: Simplify (+ 0 0) into 0
17.012 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0
17.014 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
17.016 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
17.019 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
17.019 * [taylor]: Taking taylor expansion of 0 in k
17.019 * [backup-simplify]: Simplify 0 into 0
17.019 * [backup-simplify]: Simplify 0 into 0
17.020 * [backup-simplify]: Simplify 0 into 0
17.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.022 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
17.031 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
17.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.032 * [backup-simplify]: Simplify (+ 0 0) into 0
17.033 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
17.035 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
17.038 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
17.041 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.041 * [taylor]: Taking taylor expansion of 0 in k
17.041 * [backup-simplify]: Simplify 0 into 0
17.041 * [backup-simplify]: Simplify 0 into 0
17.042 * [backup-simplify]: Simplify 0 into 0
17.042 * [backup-simplify]: Simplify 0 into 0
17.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.044 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.051 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
17.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.052 * [backup-simplify]: Simplify (+ 0 0) into 0
17.054 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0
17.056 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
17.059 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0
17.063 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.063 * [taylor]: Taking taylor expansion of 0 in k
17.063 * [backup-simplify]: Simplify 0 into 0
17.063 * [backup-simplify]: Simplify 0 into 0
17.066 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
17.066 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
17.067 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k)))
17.067 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0
17.067 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k
17.067 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k
17.067 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k
17.067 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k
17.067 * [taylor]: Taking taylor expansion of 0.25 in k
17.067 * [backup-simplify]: Simplify 0.25 into 0.25
17.068 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
17.068 * [taylor]: Taking taylor expansion of 1.0 in k
17.068 * [backup-simplify]: Simplify 1.0 into 1.0
17.068 * [taylor]: Taking taylor expansion of k in k
17.068 * [backup-simplify]: Simplify 0 into 0
17.068 * [backup-simplify]: Simplify 1 into 1
17.068 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k
17.068 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k
17.068 * [taylor]: Taking taylor expansion of 2.0 in k
17.068 * [backup-simplify]: Simplify 2.0 into 2.0
17.068 * [taylor]: Taking taylor expansion of (* n PI) in k
17.068 * [taylor]: Taking taylor expansion of n in k
17.068 * [backup-simplify]: Simplify n into n
17.068 * [taylor]: Taking taylor expansion of PI in k
17.068 * [backup-simplify]: Simplify PI into PI
17.068 * [backup-simplify]: Simplify (* n PI) into (* n PI)
17.068 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI))
17.069 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI)))
17.069 * [backup-simplify]: Simplify (- 0) into 0
17.069 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
17.070 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25
17.070 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI))))
17.071 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25)
17.071 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n
17.071 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
17.071 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
17.071 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n
17.071 * [taylor]: Taking taylor expansion of 0.25 in n
17.071 * [backup-simplify]: Simplify 0.25 into 0.25
17.071 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
17.071 * [taylor]: Taking taylor expansion of 1.0 in n
17.071 * [backup-simplify]: Simplify 1.0 into 1.0
17.071 * [taylor]: Taking taylor expansion of k in n
17.071 * [backup-simplify]: Simplify k into k
17.071 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
17.071 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
17.071 * [taylor]: Taking taylor expansion of 2.0 in n
17.071 * [backup-simplify]: Simplify 2.0 into 2.0
17.071 * [taylor]: Taking taylor expansion of (* n PI) in n
17.071 * [taylor]: Taking taylor expansion of n in n
17.072 * [backup-simplify]: Simplify 0 into 0
17.072 * [backup-simplify]: Simplify 1 into 1
17.072 * [taylor]: Taking taylor expansion of PI in n
17.072 * [backup-simplify]: Simplify PI into PI
17.072 * [backup-simplify]: Simplify (* 0 PI) into 0
17.073 * [backup-simplify]: Simplify (* 2.0 0) into 0
17.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.076 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
17.077 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
17.078 * [backup-simplify]: Simplify (- k) into (- k)
17.078 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
17.078 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k))
17.080 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
17.082 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
17.084 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
17.084 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n
17.084 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n
17.084 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n
17.084 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n
17.084 * [taylor]: Taking taylor expansion of 0.25 in n
17.084 * [backup-simplify]: Simplify 0.25 into 0.25
17.084 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
17.084 * [taylor]: Taking taylor expansion of 1.0 in n
17.084 * [backup-simplify]: Simplify 1.0 into 1.0
17.084 * [taylor]: Taking taylor expansion of k in n
17.084 * [backup-simplify]: Simplify k into k
17.084 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n
17.084 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
17.085 * [taylor]: Taking taylor expansion of 2.0 in n
17.085 * [backup-simplify]: Simplify 2.0 into 2.0
17.085 * [taylor]: Taking taylor expansion of (* n PI) in n
17.085 * [taylor]: Taking taylor expansion of n in n
17.085 * [backup-simplify]: Simplify 0 into 0
17.085 * [backup-simplify]: Simplify 1 into 1
17.085 * [taylor]: Taking taylor expansion of PI in n
17.085 * [backup-simplify]: Simplify PI into PI
17.085 * [backup-simplify]: Simplify (* 0 PI) into 0
17.086 * [backup-simplify]: Simplify (* 2.0 0) into 0
17.087 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.089 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
17.091 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
17.091 * [backup-simplify]: Simplify (- k) into (- k)
17.091 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
17.091 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k))
17.093 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
17.095 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))
17.097 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))
17.097 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k
17.097 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k
17.097 * [taylor]: Taking taylor expansion of 0.25 in k
17.097 * [backup-simplify]: Simplify 0.25 into 0.25
17.097 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k
17.097 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
17.097 * [taylor]: Taking taylor expansion of 1.0 in k
17.097 * [backup-simplify]: Simplify 1.0 into 1.0
17.097 * [taylor]: Taking taylor expansion of k in k
17.097 * [backup-simplify]: Simplify 0 into 0
17.097 * [backup-simplify]: Simplify 1 into 1
17.097 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k
17.097 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
17.097 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
17.097 * [taylor]: Taking taylor expansion of 2.0 in k
17.097 * [backup-simplify]: Simplify 2.0 into 2.0
17.097 * [taylor]: Taking taylor expansion of PI in k
17.097 * [backup-simplify]: Simplify PI into PI
17.098 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
17.099 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
17.099 * [taylor]: Taking taylor expansion of (log n) in k
17.099 * [taylor]: Taking taylor expansion of n in k
17.099 * [backup-simplify]: Simplify n into n
17.100 * [backup-simplify]: Simplify (log n) into (log n)
17.100 * [backup-simplify]: Simplify (- 0) into 0
17.100 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
17.102 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n))
17.103 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n)))
17.104 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n)))
17.105 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))
17.106 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))
17.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.107 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
17.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
17.109 * [backup-simplify]: Simplify (- 0) into 0
17.109 * [backup-simplify]: Simplify (+ 0 0) into 0
17.109 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0
17.110 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
17.112 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0
17.113 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.113 * [taylor]: Taking taylor expansion of 0 in k
17.113 * [backup-simplify]: Simplify 0 into 0
17.113 * [backup-simplify]: Simplify 0 into 0
17.114 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
17.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
17.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
17.116 * [backup-simplify]: Simplify (+ 0 0) into 0
17.117 * [backup-simplify]: Simplify (- 1) into -1
17.117 * [backup-simplify]: Simplify (+ 0 -1) into -1
17.118 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n)))
17.120 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))
17.123 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))))
17.126 * [backup-simplify]: Simplify (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))))
17.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
17.127 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
17.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
17.130 * [backup-simplify]: Simplify (- 0) into 0
17.130 * [backup-simplify]: Simplify (+ 0 0) into 0
17.131 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0
17.132 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n))
17.133 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
17.135 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.135 * [taylor]: Taking taylor expansion of 0 in k
17.135 * [backup-simplify]: Simplify 0 into 0
17.135 * [backup-simplify]: Simplify 0 into 0
17.135 * [backup-simplify]: Simplify 0 into 0
17.136 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
17.138 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
17.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
17.140 * [backup-simplify]: Simplify (+ 0 0) into 0
17.140 * [backup-simplify]: Simplify (- 0) into 0
17.140 * [backup-simplify]: Simplify (+ 0 0) into 0
17.142 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0
17.144 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0
17.148 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))
17.152 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))
17.174 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k)))))
17.175 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))
17.175 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0
17.175 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k
17.175 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k
17.175 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k
17.175 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k
17.175 * [taylor]: Taking taylor expansion of 0.25 in k
17.175 * [backup-simplify]: Simplify 0.25 into 0.25
17.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
17.175 * [taylor]: Taking taylor expansion of 1.0 in k
17.175 * [backup-simplify]: Simplify 1.0 into 1.0
17.175 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.175 * [taylor]: Taking taylor expansion of k in k
17.175 * [backup-simplify]: Simplify 0 into 0
17.175 * [backup-simplify]: Simplify 1 into 1
17.175 * [backup-simplify]: Simplify (/ 1 1) into 1
17.175 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k
17.176 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k
17.176 * [taylor]: Taking taylor expansion of 2.0 in k
17.176 * [backup-simplify]: Simplify 2.0 into 2.0
17.176 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.176 * [taylor]: Taking taylor expansion of PI in k
17.176 * [backup-simplify]: Simplify PI into PI
17.176 * [taylor]: Taking taylor expansion of n in k
17.176 * [backup-simplify]: Simplify n into n
17.176 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.176 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n))
17.176 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n)))
17.176 * [backup-simplify]: Simplify (- 1) into -1
17.177 * [backup-simplify]: Simplify (+ 0 -1) into -1
17.177 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25
17.177 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n))))
17.177 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))
17.178 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n
17.178 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
17.178 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
17.178 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n
17.178 * [taylor]: Taking taylor expansion of 0.25 in n
17.178 * [backup-simplify]: Simplify 0.25 into 0.25
17.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
17.178 * [taylor]: Taking taylor expansion of 1.0 in n
17.178 * [backup-simplify]: Simplify 1.0 into 1.0
17.178 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.178 * [taylor]: Taking taylor expansion of k in n
17.178 * [backup-simplify]: Simplify k into k
17.178 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.178 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
17.178 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
17.178 * [taylor]: Taking taylor expansion of 2.0 in n
17.178 * [backup-simplify]: Simplify 2.0 into 2.0
17.178 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.178 * [taylor]: Taking taylor expansion of PI in n
17.178 * [backup-simplify]: Simplify PI into PI
17.178 * [taylor]: Taking taylor expansion of n in n
17.178 * [backup-simplify]: Simplify 0 into 0
17.178 * [backup-simplify]: Simplify 1 into 1
17.178 * [backup-simplify]: Simplify (/ PI 1) into PI
17.179 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
17.179 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
17.179 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
17.180 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
17.180 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k)))
17.181 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
17.182 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))
17.183 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
17.183 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n
17.183 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n
17.183 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n
17.183 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n
17.183 * [taylor]: Taking taylor expansion of 0.25 in n
17.183 * [backup-simplify]: Simplify 0.25 into 0.25
17.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
17.183 * [taylor]: Taking taylor expansion of 1.0 in n
17.183 * [backup-simplify]: Simplify 1.0 into 1.0
17.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.183 * [taylor]: Taking taylor expansion of k in n
17.183 * [backup-simplify]: Simplify k into k
17.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.183 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n
17.184 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
17.184 * [taylor]: Taking taylor expansion of 2.0 in n
17.184 * [backup-simplify]: Simplify 2.0 into 2.0
17.184 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.184 * [taylor]: Taking taylor expansion of PI in n
17.184 * [backup-simplify]: Simplify PI into PI
17.184 * [taylor]: Taking taylor expansion of n in n
17.184 * [backup-simplify]: Simplify 0 into 0
17.184 * [backup-simplify]: Simplify 1 into 1
17.184 * [backup-simplify]: Simplify (/ PI 1) into PI
17.184 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
17.185 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
17.185 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
17.185 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
17.185 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k)))
17.187 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
17.188 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))
17.189 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
17.189 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k
17.189 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k
17.189 * [taylor]: Taking taylor expansion of 0.25 in k
17.189 * [backup-simplify]: Simplify 0.25 into 0.25
17.189 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k
17.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
17.189 * [taylor]: Taking taylor expansion of 1.0 in k
17.189 * [backup-simplify]: Simplify 1.0 into 1.0
17.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.189 * [taylor]: Taking taylor expansion of k in k
17.189 * [backup-simplify]: Simplify 0 into 0
17.189 * [backup-simplify]: Simplify 1 into 1
17.189 * [backup-simplify]: Simplify (/ 1 1) into 1
17.189 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k
17.189 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
17.189 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
17.190 * [taylor]: Taking taylor expansion of 2.0 in k
17.190 * [backup-simplify]: Simplify 2.0 into 2.0
17.190 * [taylor]: Taking taylor expansion of PI in k
17.190 * [backup-simplify]: Simplify PI into PI
17.190 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
17.191 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
17.191 * [taylor]: Taking taylor expansion of (log n) in k
17.191 * [taylor]: Taking taylor expansion of n in k
17.191 * [backup-simplify]: Simplify n into n
17.191 * [backup-simplify]: Simplify (log n) into (log n)
17.191 * [backup-simplify]: Simplify (- 1) into -1
17.191 * [backup-simplify]: Simplify (+ 0 -1) into -1
17.192 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.192 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n))
17.193 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n)))
17.194 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n)))
17.196 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
17.197 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))
17.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.198 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
17.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
17.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.200 * [backup-simplify]: Simplify (- 0) into 0
17.200 * [backup-simplify]: Simplify (+ 0 0) into 0
17.200 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0
17.202 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
17.204 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0
17.207 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.207 * [taylor]: Taking taylor expansion of 0 in k
17.207 * [backup-simplify]: Simplify 0 into 0
17.207 * [backup-simplify]: Simplify 0 into 0
17.207 * [backup-simplify]: Simplify 0 into 0
17.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.209 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
17.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
17.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.214 * [backup-simplify]: Simplify (- 0) into 0
17.214 * [backup-simplify]: Simplify (+ 0 0) into 0
17.216 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0
17.218 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
17.220 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0
17.224 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.224 * [taylor]: Taking taylor expansion of 0 in k
17.224 * [backup-simplify]: Simplify 0 into 0
17.224 * [backup-simplify]: Simplify 0 into 0
17.224 * [backup-simplify]: Simplify 0 into 0
17.225 * [backup-simplify]: Simplify 0 into 0
17.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.227 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.234 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0
17.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.235 * [backup-simplify]: Simplify (- 0) into 0
17.235 * [backup-simplify]: Simplify (+ 0 0) into 0
17.237 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0
17.239 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n))
17.242 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0
17.246 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.247 * [taylor]: Taking taylor expansion of 0 in k
17.247 * [backup-simplify]: Simplify 0 into 0
17.247 * [backup-simplify]: Simplify 0 into 0
17.249 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n))))))
17.250 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0)))
17.251 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0
17.251 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k
17.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k
17.251 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k
17.251 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k
17.251 * [taylor]: Taking taylor expansion of 0.25 in k
17.251 * [backup-simplify]: Simplify 0.25 into 0.25
17.251 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
17.251 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.251 * [taylor]: Taking taylor expansion of k in k
17.251 * [backup-simplify]: Simplify 0 into 0
17.251 * [backup-simplify]: Simplify 1 into 1
17.251 * [backup-simplify]: Simplify (/ 1 1) into 1
17.251 * [taylor]: Taking taylor expansion of 1.0 in k
17.251 * [backup-simplify]: Simplify 1.0 into 1.0
17.251 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k
17.252 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k
17.252 * [taylor]: Taking taylor expansion of -2.0 in k
17.252 * [backup-simplify]: Simplify -2.0 into -2.0
17.252 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.252 * [taylor]: Taking taylor expansion of PI in k
17.252 * [backup-simplify]: Simplify PI into PI
17.252 * [taylor]: Taking taylor expansion of n in k
17.252 * [backup-simplify]: Simplify n into n
17.252 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.252 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n))
17.252 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n)))
17.253 * [backup-simplify]: Simplify (+ 1 0) into 1
17.253 * [backup-simplify]: Simplify (* 0.25 1) into 0.25
17.254 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n))))
17.255 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))
17.255 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n
17.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
17.255 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
17.255 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n
17.255 * [taylor]: Taking taylor expansion of 0.25 in n
17.255 * [backup-simplify]: Simplify 0.25 into 0.25
17.255 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
17.255 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.255 * [taylor]: Taking taylor expansion of k in n
17.255 * [backup-simplify]: Simplify k into k
17.255 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.255 * [taylor]: Taking taylor expansion of 1.0 in n
17.255 * [backup-simplify]: Simplify 1.0 into 1.0
17.255 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
17.255 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
17.255 * [taylor]: Taking taylor expansion of -2.0 in n
17.256 * [backup-simplify]: Simplify -2.0 into -2.0
17.256 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.256 * [taylor]: Taking taylor expansion of PI in n
17.256 * [backup-simplify]: Simplify PI into PI
17.256 * [taylor]: Taking taylor expansion of n in n
17.256 * [backup-simplify]: Simplify 0 into 0
17.256 * [backup-simplify]: Simplify 1 into 1
17.256 * [backup-simplify]: Simplify (/ PI 1) into PI
17.257 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
17.258 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
17.258 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
17.258 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0))
17.261 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
17.262 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))
17.265 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
17.265 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n
17.265 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n
17.265 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n
17.265 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n
17.265 * [taylor]: Taking taylor expansion of 0.25 in n
17.265 * [backup-simplify]: Simplify 0.25 into 0.25
17.265 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
17.265 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.265 * [taylor]: Taking taylor expansion of k in n
17.265 * [backup-simplify]: Simplify k into k
17.265 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.265 * [taylor]: Taking taylor expansion of 1.0 in n
17.265 * [backup-simplify]: Simplify 1.0 into 1.0
17.265 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n
17.265 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
17.265 * [taylor]: Taking taylor expansion of -2.0 in n
17.265 * [backup-simplify]: Simplify -2.0 into -2.0
17.265 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.265 * [taylor]: Taking taylor expansion of PI in n
17.265 * [backup-simplify]: Simplify PI into PI
17.265 * [taylor]: Taking taylor expansion of n in n
17.265 * [backup-simplify]: Simplify 0 into 0
17.265 * [backup-simplify]: Simplify 1 into 1
17.266 * [backup-simplify]: Simplify (/ PI 1) into PI
17.267 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
17.268 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
17.268 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
17.269 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0))
17.271 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
17.273 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))
17.275 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
17.275 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k
17.275 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k
17.275 * [taylor]: Taking taylor expansion of 0.25 in k
17.275 * [backup-simplify]: Simplify 0.25 into 0.25
17.275 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k
17.275 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k
17.275 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k
17.275 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k
17.275 * [taylor]: Taking taylor expansion of -2.0 in k
17.275 * [backup-simplify]: Simplify -2.0 into -2.0
17.275 * [taylor]: Taking taylor expansion of PI in k
17.275 * [backup-simplify]: Simplify PI into PI
17.276 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
17.277 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI))
17.277 * [taylor]: Taking taylor expansion of (log n) in k
17.277 * [taylor]: Taking taylor expansion of n in k
17.277 * [backup-simplify]: Simplify n into n
17.278 * [backup-simplify]: Simplify (log n) into (log n)
17.278 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
17.278 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.278 * [taylor]: Taking taylor expansion of k in k
17.278 * [backup-simplify]: Simplify 0 into 0
17.278 * [backup-simplify]: Simplify 1 into 1
17.278 * [backup-simplify]: Simplify (/ 1 1) into 1
17.278 * [taylor]: Taking taylor expansion of 1.0 in k
17.278 * [backup-simplify]: Simplify 1.0 into 1.0
17.279 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.280 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n))
17.281 * [backup-simplify]: Simplify (+ 1 0) into 1
17.282 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n))
17.284 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n)))
17.286 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
17.289 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))
17.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.290 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
17.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0
17.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.293 * [backup-simplify]: Simplify (+ 0 0) into 0
17.294 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0
17.296 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
17.298 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0
17.300 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
17.300 * [taylor]: Taking taylor expansion of 0 in k
17.300 * [backup-simplify]: Simplify 0 into 0
17.300 * [backup-simplify]: Simplify 0 into 0
17.300 * [backup-simplify]: Simplify 0 into 0
17.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.301 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
17.307 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0
17.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.308 * [backup-simplify]: Simplify (+ 0 0) into 0
17.309 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
17.310 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
17.311 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0
17.313 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.313 * [taylor]: Taking taylor expansion of 0 in k
17.314 * [backup-simplify]: Simplify 0 into 0
17.314 * [backup-simplify]: Simplify 0 into 0
17.314 * [backup-simplify]: Simplify 0 into 0
17.314 * [backup-simplify]: Simplify 0 into 0
17.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.315 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.319 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0
17.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.320 * [backup-simplify]: Simplify (+ 0 0) into 0
17.321 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0
17.322 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n))
17.323 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0
17.326 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.326 * [taylor]: Taking taylor expansion of 0 in k
17.326 * [backup-simplify]: Simplify 0 into 0
17.326 * [backup-simplify]: Simplify 0 into 0
17.327 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
17.327 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
17.327 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k)))
17.327 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0
17.327 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k
17.327 * [taylor]: Taking taylor expansion of 1.0 in k
17.327 * [backup-simplify]: Simplify 1.0 into 1.0
17.327 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.328 * [taylor]: Taking taylor expansion of k in k
17.328 * [backup-simplify]: Simplify 0 into 0
17.328 * [backup-simplify]: Simplify 1 into 1
17.328 * [backup-simplify]: Simplify (/ 1 1) into 1
17.328 * [backup-simplify]: Simplify (sqrt 0) into 0
17.329 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.329 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k
17.329 * [taylor]: Taking taylor expansion of 1.0 in k
17.329 * [backup-simplify]: Simplify 1.0 into 1.0
17.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.329 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.329 * [taylor]: Taking taylor expansion of k in k
17.329 * [backup-simplify]: Simplify 0 into 0
17.329 * [backup-simplify]: Simplify 1 into 1
17.329 * [backup-simplify]: Simplify (/ 1 1) into 1
17.330 * [backup-simplify]: Simplify (sqrt 0) into 0
17.331 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.331 * [backup-simplify]: Simplify (* 1.0 0) into 0
17.331 * [backup-simplify]: Simplify 0 into 0
17.333 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0)
17.333 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.338 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.340 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
17.340 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.348 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
17.349 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.351 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
17.351 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k))
17.351 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0
17.351 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k
17.351 * [taylor]: Taking taylor expansion of 1.0 in k
17.351 * [backup-simplify]: Simplify 1.0 into 1.0
17.351 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.351 * [taylor]: Taking taylor expansion of k in k
17.351 * [backup-simplify]: Simplify 0 into 0
17.351 * [backup-simplify]: Simplify 1 into 1
17.352 * [backup-simplify]: Simplify (sqrt 0) into 0
17.353 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.353 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k
17.353 * [taylor]: Taking taylor expansion of 1.0 in k
17.353 * [backup-simplify]: Simplify 1.0 into 1.0
17.353 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.353 * [taylor]: Taking taylor expansion of k in k
17.353 * [backup-simplify]: Simplify 0 into 0
17.354 * [backup-simplify]: Simplify 1 into 1
17.354 * [backup-simplify]: Simplify (sqrt 0) into 0
17.355 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.356 * [backup-simplify]: Simplify (* 1.0 0) into 0
17.356 * [backup-simplify]: Simplify 0 into 0
17.358 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0)
17.358 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.362 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.364 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
17.364 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.371 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
17.372 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.374 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
17.375 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k)))
17.375 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0
17.375 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k
17.375 * [taylor]: Taking taylor expansion of 1.0 in k
17.375 * [backup-simplify]: Simplify 1.0 into 1.0
17.375 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.375 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.375 * [taylor]: Taking taylor expansion of -1 in k
17.375 * [backup-simplify]: Simplify -1 into -1
17.375 * [taylor]: Taking taylor expansion of k in k
17.375 * [backup-simplify]: Simplify 0 into 0
17.375 * [backup-simplify]: Simplify 1 into 1
17.376 * [backup-simplify]: Simplify (/ -1 1) into -1
17.376 * [backup-simplify]: Simplify (sqrt 0) into 0
17.378 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.378 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0
17.378 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k
17.378 * [taylor]: Taking taylor expansion of 1.0 in k
17.378 * [backup-simplify]: Simplify 1.0 into 1.0
17.378 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.378 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.378 * [taylor]: Taking taylor expansion of -1 in k
17.378 * [backup-simplify]: Simplify -1 into -1
17.378 * [taylor]: Taking taylor expansion of k in k
17.378 * [backup-simplify]: Simplify 0 into 0
17.378 * [backup-simplify]: Simplify 1 into 1
17.379 * [backup-simplify]: Simplify (/ -1 1) into -1
17.379 * [backup-simplify]: Simplify (sqrt 0) into 0
17.381 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.381 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0
17.381 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.386 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.389 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
17.389 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.400 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
17.400 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.402 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
17.402 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
17.403 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
17.403 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0
17.403 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
17.403 * [taylor]: Taking taylor expansion of 2.0 in n
17.403 * [backup-simplify]: Simplify 2.0 into 2.0
17.403 * [taylor]: Taking taylor expansion of (* n PI) in n
17.403 * [taylor]: Taking taylor expansion of n in n
17.403 * [backup-simplify]: Simplify 0 into 0
17.403 * [backup-simplify]: Simplify 1 into 1
17.403 * [taylor]: Taking taylor expansion of PI in n
17.403 * [backup-simplify]: Simplify PI into PI
17.403 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n
17.404 * [taylor]: Taking taylor expansion of 2.0 in n
17.404 * [backup-simplify]: Simplify 2.0 into 2.0
17.404 * [taylor]: Taking taylor expansion of (* n PI) in n
17.404 * [taylor]: Taking taylor expansion of n in n
17.404 * [backup-simplify]: Simplify 0 into 0
17.404 * [backup-simplify]: Simplify 1 into 1
17.404 * [taylor]: Taking taylor expansion of PI in n
17.404 * [backup-simplify]: Simplify PI into PI
17.404 * [backup-simplify]: Simplify (* 0 PI) into 0
17.405 * [backup-simplify]: Simplify (* 2.0 0) into 0
17.405 * [backup-simplify]: Simplify 0 into 0
17.407 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.409 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI)
17.409 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
17.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.412 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0
17.412 * [backup-simplify]: Simplify 0 into 0
17.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
17.414 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
17.414 * [backup-simplify]: Simplify 0 into 0
17.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.418 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
17.418 * [backup-simplify]: Simplify 0 into 0
17.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.422 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
17.422 * [backup-simplify]: Simplify 0 into 0
17.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.426 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
17.426 * [backup-simplify]: Simplify 0 into 0
17.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
17.428 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
17.428 * [backup-simplify]: Simplify 0 into 0
17.429 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI))
17.429 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n))
17.429 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0
17.429 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
17.429 * [taylor]: Taking taylor expansion of 2.0 in n
17.429 * [backup-simplify]: Simplify 2.0 into 2.0
17.429 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.429 * [taylor]: Taking taylor expansion of PI in n
17.430 * [backup-simplify]: Simplify PI into PI
17.430 * [taylor]: Taking taylor expansion of n in n
17.430 * [backup-simplify]: Simplify 0 into 0
17.430 * [backup-simplify]: Simplify 1 into 1
17.430 * [backup-simplify]: Simplify (/ PI 1) into PI
17.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n
17.430 * [taylor]: Taking taylor expansion of 2.0 in n
17.430 * [backup-simplify]: Simplify 2.0 into 2.0
17.430 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.430 * [taylor]: Taking taylor expansion of PI in n
17.430 * [backup-simplify]: Simplify PI into PI
17.430 * [taylor]: Taking taylor expansion of n in n
17.430 * [backup-simplify]: Simplify 0 into 0
17.430 * [backup-simplify]: Simplify 1 into 1
17.430 * [backup-simplify]: Simplify (/ PI 1) into PI
17.431 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
17.431 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
17.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.432 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
17.432 * [backup-simplify]: Simplify 0 into 0
17.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.434 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
17.434 * [backup-simplify]: Simplify 0 into 0
17.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.435 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.435 * [backup-simplify]: Simplify 0 into 0
17.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.437 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.437 * [backup-simplify]: Simplify 0 into 0
17.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.443 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.443 * [backup-simplify]: Simplify 0 into 0
17.444 * [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
17.445 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.445 * [backup-simplify]: Simplify 0 into 0
17.446 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI))
17.446 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n))
17.446 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0
17.446 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
17.446 * [taylor]: Taking taylor expansion of -2.0 in n
17.446 * [backup-simplify]: Simplify -2.0 into -2.0
17.446 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.446 * [taylor]: Taking taylor expansion of PI in n
17.446 * [backup-simplify]: Simplify PI into PI
17.446 * [taylor]: Taking taylor expansion of n in n
17.446 * [backup-simplify]: Simplify 0 into 0
17.446 * [backup-simplify]: Simplify 1 into 1
17.447 * [backup-simplify]: Simplify (/ PI 1) into PI
17.447 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n
17.447 * [taylor]: Taking taylor expansion of -2.0 in n
17.447 * [backup-simplify]: Simplify -2.0 into -2.0
17.447 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.447 * [taylor]: Taking taylor expansion of PI in n
17.447 * [backup-simplify]: Simplify PI into PI
17.447 * [taylor]: Taking taylor expansion of n in n
17.447 * [backup-simplify]: Simplify 0 into 0
17.447 * [backup-simplify]: Simplify 1 into 1
17.447 * [backup-simplify]: Simplify (/ PI 1) into PI
17.448 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
17.448 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI)
17.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.449 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0
17.449 * [backup-simplify]: Simplify 0 into 0
17.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.450 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0
17.450 * [backup-simplify]: Simplify 0 into 0
17.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.452 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.452 * [backup-simplify]: Simplify 0 into 0
17.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.454 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.454 * [backup-simplify]: Simplify 0 into 0
17.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.456 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.457 * [backup-simplify]: Simplify 0 into 0
17.458 * [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
17.460 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.460 * [backup-simplify]: Simplify 0 into 0
17.461 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI))
17.461 * * * [progress]: simplifying candidates
17.461 * * * * [progress]: [ 1 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (posit16->real (real->posit16 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))))>
17.461 * * * * [progress]: [ 2 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log1p (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))))>
17.461 * * * * [progress]: [ 3 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))))>
17.461 * * * * [progress]: [ 4 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (exp (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))))))>
17.461 * * * * [progress]: [ 5 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (exp (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))))))>
17.462 * * * * [progress]: [ 6 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (exp (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))))))>
17.462 * * * * [progress]: [ 7 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (exp (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))))))>
17.462 * * * * [progress]: [ 8 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (* 1 (/ (/ (- 1.0 k) 2.0) 2))))))>
17.462 * * * * [progress]: [ 9 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (* 1 (/ (/ (- 1.0 k) 2.0) 2))))))>
17.462 * * * * [progress]: [ 10 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (* 1 (/ (/ (- 1.0 k) 2.0) 2))))))>
17.462 * * * * [progress]: [ 11 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))))>
17.462 * * * * [progress]: [ 12 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (/ (/ (- 1.0 k) 2.0) 2))))))>
17.462 * * * * [progress]: [ 13 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (/ (/ (- 1.0 k) 2.0) 2))))))>
17.462 * * * * [progress]: [ 14 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2))))))>
17.462 * * * * [progress]: [ 15 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (/ (cbrt (/ (- 1.0 k) 2.0)) (sqrt 2))))))>
17.462 * * * * [progress]: [ 16 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (/ (cbrt (/ (- 1.0 k) 2.0)) 2)))))>
17.462 * * * * [progress]: [ 17 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1.0 k) 2.0)) (cbrt 2))))))>
17.463 * * * * [progress]: [ 18 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))))))>
17.463 * * * * [progress]: [ 19 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (/ (sqrt (/ (- 1.0 k) 2.0)) 2)))))>
17.463 * * * * [progress]: [ 20 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2))))))>
17.463 * * * * [progress]: [ 21 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (sqrt 2))))))>
17.463 * * * * [progress]: [ 22 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) 2)))))>
17.463 * * * * [progress]: [ 23 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt 2))))))>
17.463 * * * * [progress]: [ 24 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (/ (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))))))>
17.463 * * * * [progress]: [ 25 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (/ (/ (cbrt (- 1.0 k)) (sqrt 2.0)) 2)))))>
17.463 * * * * [progress]: [ 26 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1.0 k)) 2.0) (cbrt 2))))))>
17.463 * * * * [progress]: [ 27 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1.0 k)) 2.0) (sqrt 2))))))>
17.463 * * * * [progress]: [ 28 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (/ (/ (cbrt (- 1.0 k)) 2.0) 2)))))>
17.464 * * * * [progress]: [ 29 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2))))))>
17.464 * * * * [progress]: [ 30 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (sqrt 2))))))>
17.464 * * * * [progress]: [ 31 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) 2)))))>
17.464 * * * * [progress]: [ 32 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (cbrt 2))))))>
17.464 * * * * [progress]: [ 33 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))))))>
17.464 * * * * [progress]: [ 34 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 2)))))>
17.464 * * * * [progress]: [ 35 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1.0 k)) 2.0) (cbrt 2))))))>
17.464 * * * * [progress]: [ 36 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1.0 k)) 2.0) (sqrt 2))))))>
17.464 * * * * [progress]: [ 37 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (/ (/ (sqrt (- 1.0 k)) 2.0) 2)))))>
17.464 * * * * [progress]: [ 38 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) (cbrt 2.0)) (cbrt 2))))))>
17.464 * * * * [progress]: [ 39 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (/ (/ (- 1.0 k) (cbrt 2.0)) (sqrt 2))))))>
17.464 * * * * [progress]: [ 40 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (/ (/ (- 1.0 k) (cbrt 2.0)) 2)))))>
17.465 * * * * [progress]: [ 41 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) (sqrt 2.0)) (cbrt 2))))))>
17.465 * * * * [progress]: [ 42 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (/ (/ (- 1.0 k) (sqrt 2.0)) (sqrt 2))))))>
17.465 * * * * [progress]: [ 43 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (/ (/ (- 1.0 k) (sqrt 2.0)) 2)))))>
17.465 * * * * [progress]: [ 44 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) 2.0) (cbrt 2))))))>
17.465 * * * * [progress]: [ 45 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1.0 k) 2.0) (sqrt 2))))))>
17.465 * * * * [progress]: [ 46 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.465 * * * * [progress]: [ 47 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (cbrt 2))))))>
17.465 * * * * [progress]: [ 48 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (/ (/ (- (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (sqrt 2))))))>
17.465 * * * * [progress]: [ 49 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (/ (/ (- (sqrt 1.0) (sqrt k)) (cbrt 2.0)) 2)))))>
17.465 * * * * [progress]: [ 50 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (cbrt 2))))))>
17.465 * * * * [progress]: [ 51 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (/ (/ (- (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))))))>
17.466 * * * * [progress]: [ 52 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (/ (/ (- (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 2)))))>
17.466 * * * * [progress]: [ 53 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) (cbrt 2))))))>
17.466 * * * * [progress]: [ 54 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) (sqrt 2))))))>
17.466 * * * * [progress]: [ 55 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2)))))>
17.466 * * * * [progress]: [ 56 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) (cbrt 2.0)) (cbrt 2))))))>
17.466 * * * * [progress]: [ 57 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (/ (/ (- 1.0 k) (cbrt 2.0)) (sqrt 2))))))>
17.466 * * * * [progress]: [ 58 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (/ (/ (- 1.0 k) (cbrt 2.0)) 2)))))>
17.466 * * * * [progress]: [ 59 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) (sqrt 2.0)) (cbrt 2))))))>
17.466 * * * * [progress]: [ 60 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (/ (/ (- 1.0 k) (sqrt 2.0)) (sqrt 2))))))>
17.466 * * * * [progress]: [ 61 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (/ (/ (- 1.0 k) (sqrt 2.0)) 2)))))>
17.466 * * * * [progress]: [ 62 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) 2.0) (cbrt 2))))))>
17.467 * * * * [progress]: [ 63 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1.0 k) 2.0) (sqrt 2))))))>
17.467 * * * * [progress]: [ 64 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.467 * * * * [progress]: [ 65 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) 2.0) (cbrt 2))))))>
17.467 * * * * [progress]: [ 66 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (/ (/ (- 1.0 k) 2.0) (sqrt 2))))))>
17.467 * * * * [progress]: [ 67 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ 1 1)) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.467 * * * * [progress]: [ 68 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2.0) (cbrt 2))))))>
17.467 * * * * [progress]: [ 69 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (/ (/ 1 2.0) (sqrt 2))))))>
17.467 * * * * [progress]: [ 70 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (/ (/ 1 2.0) 2)))))>
17.468 * * * * [progress]: [ 71 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) 1) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.468 * * * * [progress]: [ 72 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 2)))))>
17.468 * * * * [progress]: [ 73 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))))))>
17.468 * * * * [progress]: [ 74 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 1))))>
17.468 * * * * [progress]: [ 75 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (exp (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))))>
17.468 * * * * [progress]: [ 76 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))))>
17.468 * * * * [progress]: [ 77 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))))>
17.468 * * * * [progress]: [ 78 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))))>
17.468 * * * * [progress]: [ 79 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))))>
17.468 * * * * [progress]: [ 80 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))))>
17.468 * * * * [progress]: [ 81 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))))))>
17.468 * * * * [progress]: [ 82 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (posit16->real (real->posit16 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.468 * * * * [progress]: [ 83 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (log1p (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.469 * * * * [progress]: [ 84 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (expm1 (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.469 * * * * [progress]: [ 85 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.469 * * * * [progress]: [ 86 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.469 * * * * [progress]: [ 87 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.469 * * * * [progress]: [ 88 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.469 * * * * [progress]: [ 89 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (* 1 (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.469 * * * * [progress]: [ 90 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (* 1 (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.469 * * * * [progress]: [ 91 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (* 1 (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.469 * * * * [progress]: [ 92 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.469 * * * * [progress]: [ 93 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.469 * * * * [progress]: [ 94 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.469 * * * * [progress]: [ 95 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.470 * * * * [progress]: [ 96 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (/ (cbrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.470 * * * * [progress]: [ 97 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (/ (cbrt (/ (- 1.0 k) 2.0)) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.470 * * * * [progress]: [ 98 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1.0 k) 2.0)) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.470 * * * * [progress]: [ 99 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.470 * * * * [progress]: [ 100 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (/ (sqrt (/ (- 1.0 k) 2.0)) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.470 * * * * [progress]: [ 101 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.470 * * * * [progress]: [ 102 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.470 * * * * [progress]: [ 103 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.470 * * * * [progress]: [ 104 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.470 * * * * [progress]: [ 105 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (/ (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.470 * * * * [progress]: [ 106 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (/ (/ (cbrt (- 1.0 k)) (sqrt 2.0)) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.470 * * * * [progress]: [ 107 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1.0 k)) 2.0) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.471 * * * * [progress]: [ 108 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1.0 k)) 2.0) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.471 * * * * [progress]: [ 109 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (/ (/ (cbrt (- 1.0 k)) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.471 * * * * [progress]: [ 110 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.471 * * * * [progress]: [ 111 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.471 * * * * [progress]: [ 112 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.471 * * * * [progress]: [ 113 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.471 * * * * [progress]: [ 114 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.471 * * * * [progress]: [ 115 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.471 * * * * [progress]: [ 116 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1.0 k)) 2.0) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.471 * * * * [progress]: [ 117 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1.0 k)) 2.0) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.471 * * * * [progress]: [ 118 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (/ (/ (sqrt (- 1.0 k)) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.472 * * * * [progress]: [ 119 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) (cbrt 2.0)) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.472 * * * * [progress]: [ 120 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (/ (/ (- 1.0 k) (cbrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.472 * * * * [progress]: [ 121 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (/ (/ (- 1.0 k) (cbrt 2.0)) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.472 * * * * [progress]: [ 122 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) (sqrt 2.0)) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.472 * * * * [progress]: [ 123 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (/ (/ (- 1.0 k) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.472 * * * * [progress]: [ 124 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (/ (/ (- 1.0 k) (sqrt 2.0)) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.472 * * * * [progress]: [ 125 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) 2.0) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.472 * * * * [progress]: [ 126 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1.0 k) 2.0) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.472 * * * * [progress]: [ 127 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.472 * * * * [progress]: [ 128 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.472 * * * * [progress]: [ 129 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (/ (/ (- (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.473 * * * * [progress]: [ 130 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (/ (/ (- (sqrt 1.0) (sqrt k)) (cbrt 2.0)) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.473 * * * * [progress]: [ 131 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.473 * * * * [progress]: [ 132 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (/ (/ (- (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.473 * * * * [progress]: [ 133 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (/ (/ (- (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.473 * * * * [progress]: [ 134 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.473 * * * * [progress]: [ 135 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.473 * * * * [progress]: [ 136 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.473 * * * * [progress]: [ 137 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) (cbrt 2.0)) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.473 * * * * [progress]: [ 138 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (/ (/ (- 1.0 k) (cbrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.473 * * * * [progress]: [ 139 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (/ (/ (- 1.0 k) (cbrt 2.0)) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.473 * * * * [progress]: [ 140 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) (sqrt 2.0)) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.473 * * * * [progress]: [ 141 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (/ (/ (- 1.0 k) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.474 * * * * [progress]: [ 142 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (/ (/ (- 1.0 k) (sqrt 2.0)) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.474 * * * * [progress]: [ 143 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) 2.0) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.474 * * * * [progress]: [ 144 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1.0 k) 2.0) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.474 * * * * [progress]: [ 145 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.474 * * * * [progress]: [ 146 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1.0 k) 2.0) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.474 * * * * [progress]: [ 147 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (/ (/ (- 1.0 k) 2.0) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.474 * * * * [progress]: [ 148 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ 1 1)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.474 * * * * [progress]: [ 149 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2.0) (cbrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.474 * * * * [progress]: [ 150 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (/ (/ 1 2.0) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.474 * * * * [progress]: [ 151 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (/ (/ 1 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.474 * * * * [progress]: [ 152 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) 1) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.474 * * * * [progress]: [ 153 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.475 * * * * [progress]: [ 154 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.475 * * * * [progress]: [ 155 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 1) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.475 * * * * [progress]: [ 156 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.475 * * * * [progress]: [ 157 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (log (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.475 * * * * [progress]: [ 158 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.475 * * * * [progress]: [ 159 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (cbrt (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.475 * * * * [progress]: [ 160 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.475 * * * * [progress]: [ 161 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.475 * * * * [progress]: [ 162 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.475 * * * * [progress]: [ 163 / 237 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.475 * * * * [progress]: [ 164 / 237 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.475 * * * * [progress]: [ 165 / 237 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.475 * * * * [progress]: [ 166 / 237 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1.0 (sqrt k)) 1) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.476 * * * * [progress]: [ 167 / 237 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log 1.0) (log (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.476 * * * * [progress]: [ 168 / 237 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.476 * * * * [progress]: [ 169 / 237 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.476 * * * * [progress]: [ 170 / 237 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.476 * * * * [progress]: [ 171 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.476 * * * * [progress]: [ 172 / 237 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.476 * * * * [progress]: [ 173 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.476 * * * * [progress]: [ 174 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1.0) (- (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.476 * * * * [progress]: [ 175 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.476 * * * * [progress]: [ 176 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.476 * * * * [progress]: [ 177 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.476 * * * * [progress]: [ 178 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.477 * * * * [progress]: [ 179 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.477 * * * * [progress]: [ 180 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.477 * * * * [progress]: [ 181 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.477 * * * * [progress]: [ 182 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.477 * * * * [progress]: [ 183 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.477 * * * * [progress]: [ 184 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.477 * * * * [progress]: [ 185 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.477 * * * * [progress]: [ 186 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.477 * * * * [progress]: [ 187 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.477 * * * * [progress]: [ 188 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.477 * * * * [progress]: [ 189 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.477 * * * * [progress]: [ 190 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.478 * * * * [progress]: [ 191 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.478 * * * * [progress]: [ 192 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.478 * * * * [progress]: [ 193 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.478 * * * * [progress]: [ 194 / 237 ] simplifiying candidate #<alt (λ (k n) (* (* 1.0 (/ 1 (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.478 * * * * [progress]: [ 195 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1.0)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.478 * * * * [progress]: [ 196 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.478 * * * * [progress]: [ 197 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.478 * * * * [progress]: [ 198 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.478 * * * * [progress]: [ 199 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt 1)) (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.478 * * * * [progress]: [ 200 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.478 * * * * [progress]: [ 201 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 1) (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.478 * * * * [progress]: [ 202 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.478 * * * * [progress]: [ 203 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1.0) (/ (sqrt k) (sqrt 1.0))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.479 * * * * [progress]: [ 204 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1.0)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.479 * * * * [progress]: [ 205 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (posit16->real (real->posit16 (* (* 2.0 PI) n))) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.479 * * * * [progress]: [ 206 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (log1p (expm1 (* (* 2.0 PI) n))) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.479 * * * * [progress]: [ 207 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (expm1 (log1p (* (* 2.0 PI) n))) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.479 * * * * [progress]: [ 208 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) 1) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.479 * * * * [progress]: [ 209 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) 1) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.479 * * * * [progress]: [ 210 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) 1) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.479 * * * * [progress]: [ 211 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (exp (+ (+ (log 2.0) (log PI)) (log n))) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.479 * * * * [progress]: [ 212 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (exp (+ (log (* 2.0 PI)) (log n))) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.479 * * * * [progress]: [ 213 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (exp (log (* (* 2.0 PI) n))) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.479 * * * * [progress]: [ 214 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (log (exp (* (* 2.0 PI) n))) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.479 * * * * [progress]: [ 215 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n))) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.479 * * * * [progress]: [ 216 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n))) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.480 * * * * [progress]: [ 217 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n))) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.480 * * * * [progress]: [ 218 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n))) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.480 * * * * [progress]: [ 219 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n))) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.480 * * * * [progress]: [ 220 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 1 (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.480 * * * * [progress]: [ 221 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.480 * * * * [progress]: [ 222 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.480 * * * * [progress]: [ 223 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (* 2.0 PI) 1) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.480 * * * * [progress]: [ 224 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.480 * * * * [progress]: [ 225 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.480 * * * * [progress]: [ 226 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))))))>
17.480 * * * * [progress]: [ 227 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))))))>
17.481 * * * * [progress]: [ 228 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))>
17.481 * * * * [progress]: [ 229 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.481 * * * * [progress]: [ 230 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.481 * * * * [progress]: [ 231 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.481 * * * * [progress]: [ 232 / 237 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.481 * * * * [progress]: [ 233 / 237 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.481 * * * * [progress]: [ 234 / 237 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.481 * * * * [progress]: [ 235 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.481 * * * * [progress]: [ 236 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.481 * * * * [progress]: [ 237 / 237 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)))))>
17.486 * [simplify]: Simplifying:
  (real->posit16 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))
  (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))
  (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))
  (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))
  (* 1 (/ (/ (- 1.0 k) 2.0) 2))
  (* 1 (/ (/ (- 1.0 k) 2.0) 2))
  (* 1 (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1))
  (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1))
  (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1))
  (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1))
  (pow (* (* 2.0 PI) n) 1)
  (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
  (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))
  (pow n (/ (/ (- 1.0 k) 2.0) 2))
  (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))
  (real->posit16 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))
  (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))
  (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))
  (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))
  (* 1 (/ (/ (- 1.0 k) 2.0) 2))
  (* 1 (/ (/ (- 1.0 k) 2.0) 2))
  (* 1 (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))
  (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))
  (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2))))
  (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1))
  (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1))
  (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1))
  (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1))
  (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ 1 1))
  (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2)))
  (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1))
  (pow (* (* 2.0 PI) n) 1)
  (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
  (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))
  (pow n (/ (/ (- 1.0 k) 2.0) 2))
  (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))
  (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
  (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))
  (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))
  (real->posit16 (/ 1.0 (sqrt k)))
  (expm1 (/ 1.0 (sqrt k)))
  (log1p (/ 1.0 (sqrt k)))
  (- (log 1.0) (log (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (exp (/ 1.0 (sqrt k)))
  (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))
  (cbrt (/ 1.0 (sqrt k)))
  (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (- 1.0)
  (- (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1.0) (cbrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1.0) (sqrt (cbrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))
  (/ (cbrt 1.0) (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) 1)
  (/ (cbrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1.0) (cbrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1.0) (sqrt (cbrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt 1))
  (/ (sqrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) 1)
  (/ (sqrt 1.0) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1.0 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1.0)
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 (sqrt 1))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 1)
  (/ (sqrt k) (cbrt 1.0))
  (/ (sqrt k) (sqrt 1.0))
  (/ (sqrt k) 1.0)
  (real->posit16 (* (* 2.0 PI) n))
  (expm1 (* (* 2.0 PI) n))
  (log1p (* (* 2.0 PI) n))
  (* (* 2.0 PI) n)
  (* (* 2.0 PI) n)
  (+ (+ (log 2.0) (log PI)) (log n))
  (+ (log (* 2.0 PI)) (log n))
  (log (* (* 2.0 PI) n))
  (exp (* (* 2.0 PI) n))
  (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n))
  (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
  (cbrt (* (* 2.0 PI) n))
  (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (sqrt (* (* 2.0 PI) n))
  (* (* 2.0 PI) (* (cbrt n) (cbrt n)))
  (* (* 2.0 PI) (sqrt n))
  (* (* 2.0 PI) 1)
  (* PI n)
  (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k)))))
  (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n))))))
  (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
  (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k)))))
  (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n))))))
  (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
  (* 2.0 (* n PI))
17.491 * * [simplify]: iteration 0: 337 enodes
17.897 * * [simplify]: iteration 1: 954 enodes
19.064 * * [simplify]: iteration 2: 2642 enodes
21.559 * * [simplify]: iteration complete: 5006 enodes
21.560 * * [simplify]: Extracting #0: cost 123 inf + 0
21.562 * * [simplify]: Extracting #1: cost 681 inf + 2
21.570 * * [simplify]: Extracting #2: cost 1458 inf + 2013
21.588 * * [simplify]: Extracting #3: cost 1510 inf + 60740
21.626 * * [simplify]: Extracting #4: cost 755 inf + 285551
21.719 * * [simplify]: Extracting #5: cost 267 inf + 471946
21.851 * * [simplify]: Extracting #6: cost 45 inf + 581381
22.025 * * [simplify]: Extracting #7: cost 7 inf + 595174
22.160 * * [simplify]: Extracting #8: cost 0 inf + 597347
22.322 * [simplify]: Simplified to:
  (real->posit16 (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (expm1 (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (log1p (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (/ (log (* n (* PI 2.0))) (/ 2 (/ (- 1.0 k) 2.0)))
  (/ (log (* n (* PI 2.0))) (/ 2 (/ (- 1.0 k) 2.0)))
  (/ (log (* n (* PI 2.0))) (/ 2 (/ (- 1.0 k) 2.0)))
  (/ (log (* n (* PI 2.0))) (/ 2 (/ (- 1.0 k) 2.0)))
  (/ (/ (- 1.0 k) 2) 2.0)
  (/ (/ (- 1.0 k) 2) 2.0)
  (/ (/ (- 1.0 k) 2) 2.0)
  (pow (* n (* PI 2.0)) (/ 1.0 (* 2 2.0)))
  (pow (* n (* PI 2.0)) (/ k (* 2 2.0)))
  (pow (* n (* PI 2.0)) (* (cbrt (/ (/ (- 1.0 k) 2) 2.0)) (cbrt (/ (/ (- 1.0 k) 2) 2.0))))
  (pow (* n (* PI 2.0)) (sqrt (/ (/ (- 1.0 k) 2) 2.0)))
  (pow (* n (* PI 2.0)) (* (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)) (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2)))
  (pow (* n (* PI 2.0)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* n (* PI 2.0)) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2)))
  (pow (* n (* PI 2.0)) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* n (* PI 2.0)) (* (/ (/ (cbrt (- 1.0 k)) (cbrt 2)) (cbrt 2.0)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2)) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))) (sqrt 2)))
  (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2))) (sqrt 2.0)))
  (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (sqrt 2)) (/ (cbrt (- 1.0 k)) (sqrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (cbrt (- 1.0 k)) (/ (sqrt 2.0) (cbrt (- 1.0 k)))))
  (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2)))
  (pow (* n (* PI 2.0)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))))
  (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0)))))
  (pow (* n (* PI 2.0)) (/ (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0)) (sqrt 2)))
  (pow (* n (* PI 2.0)) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0)))
  (pow (* n (* PI 2.0)) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2)))
  (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* n (* PI 2.0)) (/ (/ (sqrt (- 1.0 k)) (cbrt 2)) (cbrt 2)))
  (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2)))
  (pow (* n (* PI 2.0)) (sqrt (- 1.0 k)))
  (pow (* n (* PI 2.0)) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0)))))
  (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (* (sqrt 2.0) (sqrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0)))
  (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (sqrt 2)))
  (* n (* PI 2.0))
  (pow (* n (* PI 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0)))))
  (pow (* n (* PI 2.0)) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (/ (+ (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (cbrt 2.0)))
  (pow (* n (* PI 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (* (cbrt 2) (sqrt 2.0)))))
  (pow (* n (* PI 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (* (sqrt 2.0) (sqrt 2))))
  (pow (* n (* PI 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* n (* PI 2.0)) (/ (/ (+ (sqrt 1.0) (sqrt k)) (cbrt 2)) (cbrt 2)))
  (pow (* n (* PI 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2)))
  (pow (* n (* PI 2.0)) (+ (sqrt 1.0) (sqrt k)))
  (pow (* n (* PI 2.0)) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0)))))
  (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (* (sqrt 2.0) (sqrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0)))
  (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (sqrt 2)))
  (* n (* PI 2.0))
  (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (sqrt 2)))
  (* n (* PI 2.0))
  (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ (- 1.0 k) (sqrt 2)))
  (pow (* n (* PI 2.0)) (- 1.0 k))
  (* n (* PI 2.0))
  (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))
  (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2) 2.0))
  (pow n (/ (/ (- 1.0 k) 2) 2.0))
  (/ (log (* n (* PI 2.0))) (/ 2 (/ (- 1.0 k) 2.0)))
  (exp (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (* (cbrt (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (cbrt (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0))))
  (cbrt (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (* (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (sqrt (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (sqrt (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 4))
  (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 4))
  (real->posit16 (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (expm1 (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (log1p (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (/ (log (* n (* PI 2.0))) (/ 2 (/ (- 1.0 k) 2.0)))
  (/ (log (* n (* PI 2.0))) (/ 2 (/ (- 1.0 k) 2.0)))
  (/ (log (* n (* PI 2.0))) (/ 2 (/ (- 1.0 k) 2.0)))
  (/ (log (* n (* PI 2.0))) (/ 2 (/ (- 1.0 k) 2.0)))
  (/ (/ (- 1.0 k) 2) 2.0)
  (/ (/ (- 1.0 k) 2) 2.0)
  (/ (/ (- 1.0 k) 2) 2.0)
  (pow (* n (* PI 2.0)) (/ 1.0 (* 2 2.0)))
  (pow (* n (* PI 2.0)) (/ k (* 2 2.0)))
  (pow (* n (* PI 2.0)) (* (cbrt (/ (/ (- 1.0 k) 2) 2.0)) (cbrt (/ (/ (- 1.0 k) 2) 2.0))))
  (pow (* n (* PI 2.0)) (sqrt (/ (/ (- 1.0 k) 2) 2.0)))
  (pow (* n (* PI 2.0)) (* (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)) (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2)))
  (pow (* n (* PI 2.0)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* n (* PI 2.0)) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2)))
  (pow (* n (* PI 2.0)) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* n (* PI 2.0)) (* (/ (/ (cbrt (- 1.0 k)) (cbrt 2)) (cbrt 2.0)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2)) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))) (sqrt 2)))
  (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2))) (sqrt 2.0)))
  (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (sqrt 2)) (/ (cbrt (- 1.0 k)) (sqrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (cbrt (- 1.0 k)) (/ (sqrt 2.0) (cbrt (- 1.0 k)))))
  (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2)))
  (pow (* n (* PI 2.0)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))))
  (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0)))))
  (pow (* n (* PI 2.0)) (/ (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0)) (sqrt 2)))
  (pow (* n (* PI 2.0)) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0)))
  (pow (* n (* PI 2.0)) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2)))
  (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* n (* PI 2.0)) (/ (/ (sqrt (- 1.0 k)) (cbrt 2)) (cbrt 2)))
  (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2)))
  (pow (* n (* PI 2.0)) (sqrt (- 1.0 k)))
  (pow (* n (* PI 2.0)) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0)))))
  (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (* (sqrt 2.0) (sqrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0)))
  (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (sqrt 2)))
  (* n (* PI 2.0))
  (pow (* n (* PI 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0)))))
  (pow (* n (* PI 2.0)) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (/ (+ (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (cbrt 2.0)))
  (pow (* n (* PI 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (* (cbrt 2) (sqrt 2.0)))))
  (pow (* n (* PI 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (* (sqrt 2.0) (sqrt 2))))
  (pow (* n (* PI 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* n (* PI 2.0)) (/ (/ (+ (sqrt 1.0) (sqrt k)) (cbrt 2)) (cbrt 2)))
  (pow (* n (* PI 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2)))
  (pow (* n (* PI 2.0)) (+ (sqrt 1.0) (sqrt k)))
  (pow (* n (* PI 2.0)) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0)))))
  (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* n (* PI 2.0)) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (* (sqrt 2.0) (sqrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0)))
  (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (sqrt 2)))
  (* n (* PI 2.0))
  (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ 1 (sqrt 2)))
  (* n (* PI 2.0))
  (pow (* n (* PI 2.0)) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* PI 2.0)) (/ (- 1.0 k) (sqrt 2)))
  (pow (* n (* PI 2.0)) (- 1.0 k))
  (* n (* PI 2.0))
  (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))
  (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2) 2.0))
  (pow n (/ (/ (- 1.0 k) 2) 2.0))
  (/ (log (* n (* PI 2.0))) (/ 2 (/ (- 1.0 k) 2.0)))
  (exp (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (* (cbrt (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (cbrt (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0))))
  (cbrt (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (* (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (sqrt (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (sqrt (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2) 2.0)))
  (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 4))
  (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 4))
  (real->posit16 (/ 1.0 (sqrt k)))
  (expm1 (/ 1.0 (sqrt k)))
  (log1p (/ 1.0 (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (exp (/ 1.0 (sqrt k)))
  (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))))
  (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))
  (cbrt (/ 1.0 (sqrt k)))
  (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))))
  (sqrt (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (- 1.0)
  (- (sqrt k))
  (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k))))
  (/ (cbrt 1.0) (cbrt (sqrt k)))
  (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))
  (/ (cbrt 1.0) (sqrt (cbrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1.0) (cbrt (sqrt k)))
  (/ (sqrt 1.0) (fabs (cbrt k)))
  (/ (sqrt 1.0) (sqrt (cbrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (sqrt 1.0)
  (/ (sqrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (sqrt 1.0)
  (/ (sqrt 1.0) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1.0 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1.0 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1.0)
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (fabs (cbrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1.0
  (/ 1.0 (sqrt (sqrt k)))
  1.0
  (/ (sqrt k) (cbrt 1.0))
  (/ (sqrt k) (sqrt 1.0))
  (/ (sqrt k) 1.0)
  (real->posit16 (* n (* PI 2.0)))
  (expm1 (* n (* PI 2.0)))
  (log1p (* n (* PI 2.0)))
  (* n (* PI 2.0))
  (* n (* PI 2.0))
  (log (* n (* PI 2.0)))
  (log (* n (* PI 2.0)))
  (log (* n (* PI 2.0)))
  (exp (* n (* PI 2.0)))
  (* (* (* n (* PI 2.0)) (* n (* PI 2.0))) (* n (* PI 2.0)))
  (* (* (* n (* PI 2.0)) (* n (* PI 2.0))) (* n (* PI 2.0)))
  (* (cbrt (* n (* PI 2.0))) (cbrt (* n (* PI 2.0))))
  (cbrt (* n (* PI 2.0)))
  (* (* (* n (* PI 2.0)) (* n (* PI 2.0))) (* n (* PI 2.0)))
  (sqrt (* n (* PI 2.0)))
  (sqrt (* n (* PI 2.0)))
  (* (* (cbrt n) (cbrt n)) (* 2.0 PI))
  (* 2.0 (* (sqrt n) PI))
  (* 2.0 PI)
  (* n PI)
  (fma 0.25 (* (- k) (fma (exp (* (log (* n (* PI 2.0))) 0.25)) (log (* 2.0 PI)) (* (exp (* (log (* n (* PI 2.0))) 0.25)) (log n)))) (fma (* 0.0625 (* (log (* 2.0 PI)) (exp (* (log (* n (* PI 2.0))) 0.25)))) (* (* k k) (log n)) (fma (* (* (exp (* (log (* n (* PI 2.0))) 0.25)) (log n)) (log n)) (* (* k k) 0.03125) (fma (* 0.03125 (* (log (* 2.0 PI)) (* (log (* 2.0 PI)) (exp (* (log (* n (* PI 2.0))) 0.25))))) (* k k) (exp (* (log (* n (* PI 2.0))) 0.25))))))
  (exp (* (* (log (* n (* PI 2.0))) (- 1.0 k)) 0.25))
  (exp (* (* 0.25 (- 1.0 k)) (- (log (* PI -2.0)) (log (/ -1 n)))))
  (fma 0.25 (* (- k) (fma (exp (* (log (* n (* PI 2.0))) 0.25)) (log (* 2.0 PI)) (* (exp (* (log (* n (* PI 2.0))) 0.25)) (log n)))) (fma (* 0.0625 (* (log (* 2.0 PI)) (exp (* (log (* n (* PI 2.0))) 0.25)))) (* (* k k) (log n)) (fma (* (* (exp (* (log (* n (* PI 2.0))) 0.25)) (log n)) (log n)) (* (* k k) 0.03125) (fma (* 0.03125 (* (log (* 2.0 PI)) (* (log (* 2.0 PI)) (exp (* (log (* n (* PI 2.0))) 0.25))))) (* k k) (exp (* (log (* n (* PI 2.0))) 0.25))))))
  (exp (* (* (log (* n (* PI 2.0))) (- 1.0 k)) 0.25))
  (exp (* (* 0.25 (- 1.0 k)) (- (log (* PI -2.0)) (log (/ -1 n)))))
  (fma (* k k) (- +nan.0) (fma k (- +nan.0) +nan.0))
  (fma (/ -1 (* k k)) +nan.0 (- (/ +nan.0 k) (/ +nan.0 (* (* k k) k))))
  (fma +nan.0 (/ -1 (* k k)) (- (/ +nan.0 k) +nan.0))
  (* n (* PI 2.0))
  (* n (* PI 2.0))
  (* n (* PI 2.0))
22.356 * * * [progress]: adding candidates to table
25.259 * * [progress]: iteration 3 / 4
25.259 * * * [progress]: picking best candidate
25.380 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
25.380 * * * [progress]: localizing error
25.472 * * * [progress]: generating rewritten candidates
25.472 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
25.492 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
25.507 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
25.519 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
25.567 * * * [progress]: generating series expansions
25.567 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
25.568 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k)))
25.568 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0
25.568 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k
25.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k
25.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k
25.568 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
25.568 * [taylor]: Taking taylor expansion of 0.5 in k
25.568 * [backup-simplify]: Simplify 0.5 into 0.5
25.568 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
25.568 * [taylor]: Taking taylor expansion of 1.0 in k
25.568 * [backup-simplify]: Simplify 1.0 into 1.0
25.568 * [taylor]: Taking taylor expansion of k in k
25.568 * [backup-simplify]: Simplify 0 into 0
25.568 * [backup-simplify]: Simplify 1 into 1
25.568 * [taylor]: Taking taylor expansion of (log n) in k
25.568 * [taylor]: Taking taylor expansion of n in k
25.568 * [backup-simplify]: Simplify n into n
25.568 * [backup-simplify]: Simplify (log n) into (log n)
25.569 * [backup-simplify]: Simplify (- 0) into 0
25.570 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
25.570 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
25.570 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n))
25.571 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5)
25.571 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n
25.571 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n
25.571 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n
25.571 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
25.571 * [taylor]: Taking taylor expansion of 0.5 in n
25.571 * [backup-simplify]: Simplify 0.5 into 0.5
25.571 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
25.571 * [taylor]: Taking taylor expansion of 1.0 in n
25.571 * [backup-simplify]: Simplify 1.0 into 1.0
25.571 * [taylor]: Taking taylor expansion of k in n
25.571 * [backup-simplify]: Simplify k into k
25.571 * [taylor]: Taking taylor expansion of (log n) in n
25.571 * [taylor]: Taking taylor expansion of n in n
25.571 * [backup-simplify]: Simplify 0 into 0
25.571 * [backup-simplify]: Simplify 1 into 1
25.572 * [backup-simplify]: Simplify (log 1) into 0
25.572 * [backup-simplify]: Simplify (- k) into (- k)
25.572 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
25.572 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
25.573 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.573 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n)))
25.574 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n))))
25.574 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n
25.574 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n
25.574 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n
25.574 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
25.574 * [taylor]: Taking taylor expansion of 0.5 in n
25.574 * [backup-simplify]: Simplify 0.5 into 0.5
25.574 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
25.574 * [taylor]: Taking taylor expansion of 1.0 in n
25.574 * [backup-simplify]: Simplify 1.0 into 1.0
25.574 * [taylor]: Taking taylor expansion of k in n
25.574 * [backup-simplify]: Simplify k into k
25.574 * [taylor]: Taking taylor expansion of (log n) in n
25.574 * [taylor]: Taking taylor expansion of n in n
25.574 * [backup-simplify]: Simplify 0 into 0
25.574 * [backup-simplify]: Simplify 1 into 1
25.575 * [backup-simplify]: Simplify (log 1) into 0
25.575 * [backup-simplify]: Simplify (- k) into (- k)
25.575 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
25.575 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
25.576 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.576 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n)))
25.577 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n))))
25.577 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k
25.577 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k
25.577 * [taylor]: Taking taylor expansion of 0.5 in k
25.577 * [backup-simplify]: Simplify 0.5 into 0.5
25.577 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k
25.577 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
25.577 * [taylor]: Taking taylor expansion of 1.0 in k
25.577 * [backup-simplify]: Simplify 1.0 into 1.0
25.577 * [taylor]: Taking taylor expansion of k in k
25.577 * [backup-simplify]: Simplify 0 into 0
25.577 * [backup-simplify]: Simplify 1 into 1
25.577 * [taylor]: Taking taylor expansion of (log n) in k
25.577 * [taylor]: Taking taylor expansion of n in k
25.577 * [backup-simplify]: Simplify n into n
25.578 * [backup-simplify]: Simplify (log n) into (log n)
25.578 * [backup-simplify]: Simplify (- 0) into 0
25.579 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
25.579 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
25.579 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n))
25.580 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5)
25.580 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5)
25.581 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
25.582 * [backup-simplify]: Simplify (- 0) into 0
25.582 * [backup-simplify]: Simplify (+ 0 0) into 0
25.583 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0
25.584 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.584 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0
25.586 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
25.586 * [taylor]: Taking taylor expansion of 0 in k
25.586 * [backup-simplify]: Simplify 0 into 0
25.586 * [backup-simplify]: Simplify 0 into 0
25.587 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
25.588 * [backup-simplify]: Simplify (- 1) into -1
25.588 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.589 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n))
25.589 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n)))
25.591 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))
25.592 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))
25.595 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
25.596 * [backup-simplify]: Simplify (- 0) into 0
25.596 * [backup-simplify]: Simplify (+ 0 0) into 0
25.597 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0
25.598 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.599 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
25.601 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
25.601 * [taylor]: Taking taylor expansion of 0 in k
25.601 * [backup-simplify]: Simplify 0 into 0
25.601 * [backup-simplify]: Simplify 0 into 0
25.601 * [backup-simplify]: Simplify 0 into 0
25.604 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
25.605 * [backup-simplify]: Simplify (- 0) into 0
25.605 * [backup-simplify]: Simplify (+ 0 0) into 0
25.606 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0
25.608 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0
25.610 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))
25.612 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))
25.616 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k))))
25.617 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))
25.617 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0
25.617 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k
25.617 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k
25.617 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k
25.617 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
25.617 * [taylor]: Taking taylor expansion of 0.5 in k
25.617 * [backup-simplify]: Simplify 0.5 into 0.5
25.617 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
25.617 * [taylor]: Taking taylor expansion of 1.0 in k
25.617 * [backup-simplify]: Simplify 1.0 into 1.0
25.617 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.617 * [taylor]: Taking taylor expansion of k in k
25.617 * [backup-simplify]: Simplify 0 into 0
25.617 * [backup-simplify]: Simplify 1 into 1
25.618 * [backup-simplify]: Simplify (/ 1 1) into 1
25.618 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
25.618 * [taylor]: Taking taylor expansion of (/ 1 n) in k
25.618 * [taylor]: Taking taylor expansion of n in k
25.618 * [backup-simplify]: Simplify n into n
25.618 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
25.619 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
25.619 * [backup-simplify]: Simplify (- 1) into -1
25.619 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.620 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
25.620 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n)))
25.621 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n)))))
25.621 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n
25.621 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n
25.621 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n
25.621 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
25.621 * [taylor]: Taking taylor expansion of 0.5 in n
25.621 * [backup-simplify]: Simplify 0.5 into 0.5
25.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
25.621 * [taylor]: Taking taylor expansion of 1.0 in n
25.621 * [backup-simplify]: Simplify 1.0 into 1.0
25.621 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.621 * [taylor]: Taking taylor expansion of k in n
25.621 * [backup-simplify]: Simplify k into k
25.622 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.622 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
25.622 * [taylor]: Taking taylor expansion of (/ 1 n) in n
25.622 * [taylor]: Taking taylor expansion of n in n
25.622 * [backup-simplify]: Simplify 0 into 0
25.622 * [backup-simplify]: Simplify 1 into 1
25.622 * [backup-simplify]: Simplify (/ 1 1) into 1
25.622 * [backup-simplify]: Simplify (log 1) into 0
25.623 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
25.623 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
25.623 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
25.624 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.624 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))
25.625 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))
25.625 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n
25.625 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n
25.625 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n
25.625 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
25.625 * [taylor]: Taking taylor expansion of 0.5 in n
25.625 * [backup-simplify]: Simplify 0.5 into 0.5
25.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
25.625 * [taylor]: Taking taylor expansion of 1.0 in n
25.625 * [backup-simplify]: Simplify 1.0 into 1.0
25.625 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.626 * [taylor]: Taking taylor expansion of k in n
25.626 * [backup-simplify]: Simplify k into k
25.626 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.626 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
25.626 * [taylor]: Taking taylor expansion of (/ 1 n) in n
25.626 * [taylor]: Taking taylor expansion of n in n
25.626 * [backup-simplify]: Simplify 0 into 0
25.626 * [backup-simplify]: Simplify 1 into 1
25.626 * [backup-simplify]: Simplify (/ 1 1) into 1
25.627 * [backup-simplify]: Simplify (log 1) into 0
25.627 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
25.627 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
25.627 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
25.628 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.629 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))
25.629 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))
25.629 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) in k
25.629 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) in k
25.629 * [taylor]: Taking taylor expansion of -0.5 in k
25.630 * [backup-simplify]: Simplify -0.5 into -0.5
25.630 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k
25.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
25.630 * [taylor]: Taking taylor expansion of 1.0 in k
25.630 * [backup-simplify]: Simplify 1.0 into 1.0
25.630 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.630 * [taylor]: Taking taylor expansion of k in k
25.630 * [backup-simplify]: Simplify 0 into 0
25.630 * [backup-simplify]: Simplify 1 into 1
25.630 * [backup-simplify]: Simplify (/ 1 1) into 1
25.630 * [taylor]: Taking taylor expansion of (log n) in k
25.630 * [taylor]: Taking taylor expansion of n in k
25.630 * [backup-simplify]: Simplify n into n
25.630 * [backup-simplify]: Simplify (log n) into (log n)
25.631 * [backup-simplify]: Simplify (- 1) into -1
25.631 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.631 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n))
25.631 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n))
25.632 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))
25.632 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))
25.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.633 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
25.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.634 * [backup-simplify]: Simplify (- 0) into 0
25.634 * [backup-simplify]: Simplify (+ 0 0) into 0
25.634 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0
25.635 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.635 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
25.636 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
25.636 * [taylor]: Taking taylor expansion of 0 in k
25.636 * [backup-simplify]: Simplify 0 into 0
25.636 * [backup-simplify]: Simplify 0 into 0
25.636 * [backup-simplify]: Simplify 0 into 0
25.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.642 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
25.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.643 * [backup-simplify]: Simplify (- 0) into 0
25.643 * [backup-simplify]: Simplify (+ 0 0) into 0
25.643 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0
25.644 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.645 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
25.646 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
25.646 * [taylor]: Taking taylor expansion of 0 in k
25.646 * [backup-simplify]: Simplify 0 into 0
25.646 * [backup-simplify]: Simplify 0 into 0
25.646 * [backup-simplify]: Simplify 0 into 0
25.646 * [backup-simplify]: Simplify 0 into 0
25.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.650 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
25.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.650 * [backup-simplify]: Simplify (- 0) into 0
25.651 * [backup-simplify]: Simplify (+ 0 0) into 0
25.652 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0
25.652 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
25.653 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
25.655 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
25.655 * [taylor]: Taking taylor expansion of 0 in k
25.655 * [backup-simplify]: Simplify 0 into 0
25.655 * [backup-simplify]: Simplify 0 into 0
25.655 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))
25.656 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0)))
25.656 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0
25.656 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k
25.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k
25.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k
25.656 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
25.656 * [taylor]: Taking taylor expansion of 0.5 in k
25.656 * [backup-simplify]: Simplify 0.5 into 0.5
25.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
25.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.656 * [taylor]: Taking taylor expansion of k in k
25.656 * [backup-simplify]: Simplify 0 into 0
25.656 * [backup-simplify]: Simplify 1 into 1
25.656 * [backup-simplify]: Simplify (/ 1 1) into 1
25.656 * [taylor]: Taking taylor expansion of 1.0 in k
25.656 * [backup-simplify]: Simplify 1.0 into 1.0
25.656 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
25.656 * [taylor]: Taking taylor expansion of (/ -1 n) in k
25.656 * [taylor]: Taking taylor expansion of -1 in k
25.656 * [backup-simplify]: Simplify -1 into -1
25.656 * [taylor]: Taking taylor expansion of n in k
25.656 * [backup-simplify]: Simplify n into n
25.656 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
25.657 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
25.657 * [backup-simplify]: Simplify (+ 1 0) into 1
25.657 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
25.657 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n)))
25.658 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0))))
25.658 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n
25.658 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n
25.658 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n
25.658 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
25.658 * [taylor]: Taking taylor expansion of 0.5 in n
25.658 * [backup-simplify]: Simplify 0.5 into 0.5
25.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
25.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.658 * [taylor]: Taking taylor expansion of k in n
25.658 * [backup-simplify]: Simplify k into k
25.658 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.658 * [taylor]: Taking taylor expansion of 1.0 in n
25.658 * [backup-simplify]: Simplify 1.0 into 1.0
25.658 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
25.658 * [taylor]: Taking taylor expansion of (/ -1 n) in n
25.658 * [taylor]: Taking taylor expansion of -1 in n
25.658 * [backup-simplify]: Simplify -1 into -1
25.658 * [taylor]: Taking taylor expansion of n in n
25.658 * [backup-simplify]: Simplify 0 into 0
25.658 * [backup-simplify]: Simplify 1 into 1
25.658 * [backup-simplify]: Simplify (/ -1 1) into -1
25.659 * [backup-simplify]: Simplify (log -1) into (log -1)
25.659 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
25.659 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
25.660 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.660 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))
25.661 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))
25.661 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n
25.661 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n
25.661 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n
25.661 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
25.661 * [taylor]: Taking taylor expansion of 0.5 in n
25.661 * [backup-simplify]: Simplify 0.5 into 0.5
25.661 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
25.661 * [taylor]: Taking taylor expansion of (/ 1 k) in n
25.661 * [taylor]: Taking taylor expansion of k in n
25.661 * [backup-simplify]: Simplify k into k
25.661 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
25.661 * [taylor]: Taking taylor expansion of 1.0 in n
25.661 * [backup-simplify]: Simplify 1.0 into 1.0
25.662 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
25.662 * [taylor]: Taking taylor expansion of (/ -1 n) in n
25.662 * [taylor]: Taking taylor expansion of -1 in n
25.662 * [backup-simplify]: Simplify -1 into -1
25.662 * [taylor]: Taking taylor expansion of n in n
25.662 * [backup-simplify]: Simplify 0 into 0
25.662 * [backup-simplify]: Simplify 1 into 1
25.662 * [backup-simplify]: Simplify (/ -1 1) into -1
25.662 * [backup-simplify]: Simplify (log -1) into (log -1)
25.662 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
25.662 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
25.663 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.664 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))
25.665 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))
25.665 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k
25.665 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k
25.665 * [taylor]: Taking taylor expansion of 0.5 in k
25.665 * [backup-simplify]: Simplify 0.5 into 0.5
25.665 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k
25.665 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k
25.665 * [taylor]: Taking taylor expansion of (log -1) in k
25.665 * [taylor]: Taking taylor expansion of -1 in k
25.665 * [backup-simplify]: Simplify -1 into -1
25.665 * [backup-simplify]: Simplify (log -1) into (log -1)
25.665 * [taylor]: Taking taylor expansion of (log n) in k
25.665 * [taylor]: Taking taylor expansion of n in k
25.665 * [backup-simplify]: Simplify n into n
25.665 * [backup-simplify]: Simplify (log n) into (log n)
25.665 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
25.665 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.665 * [taylor]: Taking taylor expansion of k in k
25.665 * [backup-simplify]: Simplify 0 into 0
25.666 * [backup-simplify]: Simplify 1 into 1
25.666 * [backup-simplify]: Simplify (/ 1 1) into 1
25.666 * [taylor]: Taking taylor expansion of 1.0 in k
25.666 * [backup-simplify]: Simplify 1.0 into 1.0
25.666 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
25.666 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
25.667 * [backup-simplify]: Simplify (+ 1 0) into 1
25.667 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n))
25.668 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n)))
25.669 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))
25.670 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))
25.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
25.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
25.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
25.672 * [backup-simplify]: Simplify (+ 0 0) into 0
25.672 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0
25.673 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.673 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0
25.675 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
25.675 * [taylor]: Taking taylor expansion of 0 in k
25.675 * [backup-simplify]: Simplify 0 into 0
25.675 * [backup-simplify]: Simplify 0 into 0
25.675 * [backup-simplify]: Simplify 0 into 0
25.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.677 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
25.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.678 * [backup-simplify]: Simplify (+ 0 0) into 0
25.678 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
25.679 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.680 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
25.682 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
25.682 * [taylor]: Taking taylor expansion of 0 in k
25.682 * [backup-simplify]: Simplify 0 into 0
25.682 * [backup-simplify]: Simplify 0 into 0
25.682 * [backup-simplify]: Simplify 0 into 0
25.682 * [backup-simplify]: Simplify 0 into 0
25.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.689 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
25.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
25.690 * [backup-simplify]: Simplify (+ 0 0) into 0
25.691 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0
25.693 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
25.695 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
25.698 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
25.698 * [taylor]: Taking taylor expansion of 0 in k
25.698 * [backup-simplify]: Simplify 0 into 0
25.698 * [backup-simplify]: Simplify 0 into 0
25.700 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k))))
25.700 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
25.701 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))
25.701 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0
25.701 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k
25.702 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k
25.702 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k
25.702 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
25.702 * [taylor]: Taking taylor expansion of 0.5 in k
25.702 * [backup-simplify]: Simplify 0.5 into 0.5
25.702 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
25.702 * [taylor]: Taking taylor expansion of 1.0 in k
25.702 * [backup-simplify]: Simplify 1.0 into 1.0
25.702 * [taylor]: Taking taylor expansion of k in k
25.702 * [backup-simplify]: Simplify 0 into 0
25.702 * [backup-simplify]: Simplify 1 into 1
25.702 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
25.702 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
25.702 * [taylor]: Taking taylor expansion of 2.0 in k
25.702 * [backup-simplify]: Simplify 2.0 into 2.0
25.702 * [taylor]: Taking taylor expansion of PI in k
25.702 * [backup-simplify]: Simplify PI into PI
25.703 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
25.704 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
25.705 * [backup-simplify]: Simplify (- 0) into 0
25.705 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
25.705 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
25.708 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI)))
25.710 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5)
25.710 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k
25.711 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k
25.711 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k
25.711 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
25.711 * [taylor]: Taking taylor expansion of 0.5 in k
25.711 * [backup-simplify]: Simplify 0.5 into 0.5
25.711 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
25.711 * [taylor]: Taking taylor expansion of 1.0 in k
25.711 * [backup-simplify]: Simplify 1.0 into 1.0
25.711 * [taylor]: Taking taylor expansion of k in k
25.711 * [backup-simplify]: Simplify 0 into 0
25.711 * [backup-simplify]: Simplify 1 into 1
25.711 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
25.711 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
25.711 * [taylor]: Taking taylor expansion of 2.0 in k
25.711 * [backup-simplify]: Simplify 2.0 into 2.0
25.711 * [taylor]: Taking taylor expansion of PI in k
25.711 * [backup-simplify]: Simplify PI into PI
25.712 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
25.713 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
25.713 * [backup-simplify]: Simplify (- 0) into 0
25.714 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
25.714 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
25.716 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI)))
25.719 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5)
25.721 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5)
25.721 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
25.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
25.724 * [backup-simplify]: Simplify (- 1) into -1
25.724 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.726 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
25.730 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI))))
25.745 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI))))
25.754 * [backup-simplify]: Simplify (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) into (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI))))
25.755 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
25.759 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
25.759 * [backup-simplify]: Simplify (- 0) into 0
25.759 * [backup-simplify]: Simplify (+ 0 0) into 0
25.760 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
25.761 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0
25.775 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2)))
25.781 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) into (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2)))
25.793 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k))))
25.794 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))
25.794 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0
25.794 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k
25.794 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k
25.794 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k
25.794 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
25.794 * [taylor]: Taking taylor expansion of 0.5 in k
25.794 * [backup-simplify]: Simplify 0.5 into 0.5
25.794 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
25.794 * [taylor]: Taking taylor expansion of 1.0 in k
25.794 * [backup-simplify]: Simplify 1.0 into 1.0
25.794 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.794 * [taylor]: Taking taylor expansion of k in k
25.794 * [backup-simplify]: Simplify 0 into 0
25.794 * [backup-simplify]: Simplify 1 into 1
25.794 * [backup-simplify]: Simplify (/ 1 1) into 1
25.794 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
25.794 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
25.794 * [taylor]: Taking taylor expansion of 2.0 in k
25.794 * [backup-simplify]: Simplify 2.0 into 2.0
25.794 * [taylor]: Taking taylor expansion of PI in k
25.794 * [backup-simplify]: Simplify PI into PI
25.795 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
25.796 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
25.796 * [backup-simplify]: Simplify (- 1) into -1
25.796 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.796 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
25.798 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI)))
25.799 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))
25.799 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k
25.799 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k
25.799 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k
25.799 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
25.799 * [taylor]: Taking taylor expansion of 0.5 in k
25.800 * [backup-simplify]: Simplify 0.5 into 0.5
25.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
25.800 * [taylor]: Taking taylor expansion of 1.0 in k
25.800 * [backup-simplify]: Simplify 1.0 into 1.0
25.800 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.800 * [taylor]: Taking taylor expansion of k in k
25.800 * [backup-simplify]: Simplify 0 into 0
25.800 * [backup-simplify]: Simplify 1 into 1
25.800 * [backup-simplify]: Simplify (/ 1 1) into 1
25.800 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
25.800 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
25.800 * [taylor]: Taking taylor expansion of 2.0 in k
25.800 * [backup-simplify]: Simplify 2.0 into 2.0
25.800 * [taylor]: Taking taylor expansion of PI in k
25.800 * [backup-simplify]: Simplify PI into PI
25.801 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
25.802 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
25.803 * [backup-simplify]: Simplify (- 1) into -1
25.803 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.804 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
25.806 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI)))
25.808 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))
25.810 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))
25.810 * [backup-simplify]: Simplify 0 into 0
25.810 * [backup-simplify]: Simplify 0 into 0
25.810 * [backup-simplify]: Simplify 0 into 0
25.810 * [backup-simplify]: Simplify 0 into 0
25.810 * [backup-simplify]: Simplify 0 into 0
25.810 * [backup-simplify]: Simplify 0 into 0
25.812 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))
25.814 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))
25.814 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0
25.814 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k
25.814 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k
25.814 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k
25.814 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
25.814 * [taylor]: Taking taylor expansion of 0.5 in k
25.814 * [backup-simplify]: Simplify 0.5 into 0.5
25.814 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
25.814 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.814 * [taylor]: Taking taylor expansion of k in k
25.814 * [backup-simplify]: Simplify 0 into 0
25.814 * [backup-simplify]: Simplify 1 into 1
25.815 * [backup-simplify]: Simplify (/ 1 1) into 1
25.815 * [taylor]: Taking taylor expansion of 1.0 in k
25.815 * [backup-simplify]: Simplify 1.0 into 1.0
25.815 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
25.815 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
25.815 * [taylor]: Taking taylor expansion of 2.0 in k
25.815 * [backup-simplify]: Simplify 2.0 into 2.0
25.815 * [taylor]: Taking taylor expansion of PI in k
25.815 * [backup-simplify]: Simplify PI into PI
25.815 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
25.817 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
25.817 * [backup-simplify]: Simplify (+ 1 0) into 1
25.818 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
25.820 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI)))
25.822 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))
25.822 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k
25.822 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k
25.822 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k
25.822 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
25.822 * [taylor]: Taking taylor expansion of 0.5 in k
25.822 * [backup-simplify]: Simplify 0.5 into 0.5
25.822 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
25.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.822 * [taylor]: Taking taylor expansion of k in k
25.822 * [backup-simplify]: Simplify 0 into 0
25.822 * [backup-simplify]: Simplify 1 into 1
25.822 * [backup-simplify]: Simplify (/ 1 1) into 1
25.822 * [taylor]: Taking taylor expansion of 1.0 in k
25.822 * [backup-simplify]: Simplify 1.0 into 1.0
25.823 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
25.823 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
25.823 * [taylor]: Taking taylor expansion of 2.0 in k
25.823 * [backup-simplify]: Simplify 2.0 into 2.0
25.823 * [taylor]: Taking taylor expansion of PI in k
25.823 * [backup-simplify]: Simplify PI into PI
25.823 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
25.825 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
25.825 * [backup-simplify]: Simplify (+ 1 0) into 1
25.825 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
25.828 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI)))
25.829 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))
25.831 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))
25.831 * [backup-simplify]: Simplify 0 into 0
25.831 * [backup-simplify]: Simplify 0 into 0
25.831 * [backup-simplify]: Simplify 0 into 0
25.831 * [backup-simplify]: Simplify 0 into 0
25.831 * [backup-simplify]: Simplify 0 into 0
25.831 * [backup-simplify]: Simplify 0 into 0
25.832 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))
25.832 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
25.832 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k)))
25.832 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0
25.832 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k
25.832 * [taylor]: Taking taylor expansion of 1.0 in k
25.832 * [backup-simplify]: Simplify 1.0 into 1.0
25.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
25.832 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.832 * [taylor]: Taking taylor expansion of k in k
25.832 * [backup-simplify]: Simplify 0 into 0
25.833 * [backup-simplify]: Simplify 1 into 1
25.833 * [backup-simplify]: Simplify (/ 1 1) into 1
25.833 * [backup-simplify]: Simplify (sqrt 0) into 0
25.834 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.834 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k
25.834 * [taylor]: Taking taylor expansion of 1.0 in k
25.834 * [backup-simplify]: Simplify 1.0 into 1.0
25.834 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
25.834 * [taylor]: Taking taylor expansion of (/ 1 k) in k
25.834 * [taylor]: Taking taylor expansion of k in k
25.834 * [backup-simplify]: Simplify 0 into 0
25.834 * [backup-simplify]: Simplify 1 into 1
25.834 * [backup-simplify]: Simplify (/ 1 1) into 1
25.835 * [backup-simplify]: Simplify (sqrt 0) into 0
25.835 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.836 * [backup-simplify]: Simplify (* 1.0 0) into 0
25.836 * [backup-simplify]: Simplify 0 into 0
25.837 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0)
25.837 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
25.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.839 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
25.841 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
25.841 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
25.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
25.845 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
25.846 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
25.847 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
25.847 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k))
25.847 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0
25.847 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k
25.847 * [taylor]: Taking taylor expansion of 1.0 in k
25.847 * [backup-simplify]: Simplify 1.0 into 1.0
25.847 * [taylor]: Taking taylor expansion of (sqrt k) in k
25.847 * [taylor]: Taking taylor expansion of k in k
25.847 * [backup-simplify]: Simplify 0 into 0
25.847 * [backup-simplify]: Simplify 1 into 1
25.847 * [backup-simplify]: Simplify (sqrt 0) into 0
25.848 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.848 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k
25.848 * [taylor]: Taking taylor expansion of 1.0 in k
25.848 * [backup-simplify]: Simplify 1.0 into 1.0
25.848 * [taylor]: Taking taylor expansion of (sqrt k) in k
25.848 * [taylor]: Taking taylor expansion of k in k
25.848 * [backup-simplify]: Simplify 0 into 0
25.848 * [backup-simplify]: Simplify 1 into 1
25.849 * [backup-simplify]: Simplify (sqrt 0) into 0
25.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
25.850 * [backup-simplify]: Simplify (* 1.0 0) into 0
25.850 * [backup-simplify]: Simplify 0 into 0
25.851 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0)
25.851 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
25.853 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
25.854 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
25.854 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
25.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
25.859 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
25.859 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
25.862 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
25.862 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k)))
25.862 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0
25.862 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k
25.862 * [taylor]: Taking taylor expansion of 1.0 in k
25.862 * [backup-simplify]: Simplify 1.0 into 1.0
25.862 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
25.862 * [taylor]: Taking taylor expansion of (/ -1 k) in k
25.862 * [taylor]: Taking taylor expansion of -1 in k
25.862 * [backup-simplify]: Simplify -1 into -1
25.862 * [taylor]: Taking taylor expansion of k in k
25.863 * [backup-simplify]: Simplify 0 into 0
25.863 * [backup-simplify]: Simplify 1 into 1
25.863 * [backup-simplify]: Simplify (/ -1 1) into -1
25.863 * [backup-simplify]: Simplify (sqrt 0) into 0
25.865 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
25.866 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0
25.866 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k
25.866 * [taylor]: Taking taylor expansion of 1.0 in k
25.866 * [backup-simplify]: Simplify 1.0 into 1.0
25.866 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
25.866 * [taylor]: Taking taylor expansion of (/ -1 k) in k
25.866 * [taylor]: Taking taylor expansion of -1 in k
25.866 * [backup-simplify]: Simplify -1 into -1
25.866 * [taylor]: Taking taylor expansion of k in k
25.866 * [backup-simplify]: Simplify 0 into 0
25.866 * [backup-simplify]: Simplify 1 into 1
25.866 * [backup-simplify]: Simplify (/ -1 1) into -1
25.867 * [backup-simplify]: Simplify (sqrt 0) into 0
25.868 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
25.869 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0
25.869 * [backup-simplify]: Simplify +nan.0 into +nan.0
25.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
25.873 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
25.876 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
25.876 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
25.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
25.893 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
25.894 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
25.896 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
25.896 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
25.897 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) into (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))
25.897 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0
25.897 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n
25.897 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n
25.897 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n
25.897 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n
25.898 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
25.898 * [taylor]: Taking taylor expansion of 0.5 in n
25.898 * [backup-simplify]: Simplify 0.5 into 0.5
25.898 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
25.898 * [taylor]: Taking taylor expansion of 1.0 in n
25.898 * [backup-simplify]: Simplify 1.0 into 1.0
25.898 * [taylor]: Taking taylor expansion of k in n
25.898 * [backup-simplify]: Simplify k into k
25.898 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n
25.898 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n
25.898 * [taylor]: Taking taylor expansion of 2.0 in n
25.898 * [backup-simplify]: Simplify 2.0 into 2.0
25.898 * [taylor]: Taking taylor expansion of PI in n
25.898 * [backup-simplify]: Simplify PI into PI
25.899 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
25.900 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
25.900 * [backup-simplify]: Simplify (- k) into (- k)
25.900 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
25.900 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
25.902 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))
25.904 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))
25.904 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n
25.904 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n
25.904 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n
25.904 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
25.904 * [taylor]: Taking taylor expansion of 0.5 in n
25.904 * [backup-simplify]: Simplify 0.5 into 0.5
25.904 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
25.904 * [taylor]: Taking taylor expansion of 1.0 in n
25.904 * [backup-simplify]: Simplify 1.0 into 1.0
25.904 * [taylor]: Taking taylor expansion of k in n
25.904 * [backup-simplify]: Simplify k into k
25.904 * [taylor]: Taking taylor expansion of (log n) in n
25.904 * [taylor]: Taking taylor expansion of n in n
25.904 * [backup-simplify]: Simplify 0 into 0
25.904 * [backup-simplify]: Simplify 1 into 1
25.904 * [backup-simplify]: Simplify (log 1) into 0
25.905 * [backup-simplify]: Simplify (- k) into (- k)
25.905 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
25.905 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
25.906 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.906 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n)))
25.907 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n))))
25.907 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k
25.907 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k
25.907 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k
25.907 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k
25.907 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
25.907 * [taylor]: Taking taylor expansion of 0.5 in k
25.907 * [backup-simplify]: Simplify 0.5 into 0.5
25.907 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
25.907 * [taylor]: Taking taylor expansion of 1.0 in k
25.907 * [backup-simplify]: Simplify 1.0 into 1.0
25.907 * [taylor]: Taking taylor expansion of k in k
25.907 * [backup-simplify]: Simplify 0 into 0
25.907 * [backup-simplify]: Simplify 1 into 1
25.907 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
25.907 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
25.907 * [taylor]: Taking taylor expansion of 2.0 in k
25.907 * [backup-simplify]: Simplify 2.0 into 2.0
25.907 * [taylor]: Taking taylor expansion of PI in k
25.907 * [backup-simplify]: Simplify PI into PI
25.908 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
25.909 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
25.910 * [backup-simplify]: Simplify (- 0) into 0
25.910 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
25.911 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
25.913 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI)))
25.916 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5)
25.916 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k
25.916 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k
25.916 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k
25.916 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
25.916 * [taylor]: Taking taylor expansion of 0.5 in k
25.917 * [backup-simplify]: Simplify 0.5 into 0.5
25.917 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
25.917 * [taylor]: Taking taylor expansion of 1.0 in k
25.917 * [backup-simplify]: Simplify 1.0 into 1.0
25.917 * [taylor]: Taking taylor expansion of k in k
25.917 * [backup-simplify]: Simplify 0 into 0
25.917 * [backup-simplify]: Simplify 1 into 1
25.917 * [taylor]: Taking taylor expansion of (log n) in k
25.917 * [taylor]: Taking taylor expansion of n in k
25.917 * [backup-simplify]: Simplify n into n
25.917 * [backup-simplify]: Simplify (log n) into (log n)
25.917 * [backup-simplify]: Simplify (- 0) into 0
25.918 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
25.918 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
25.919 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n))
25.919 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5)
25.919 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k
25.919 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k
25.919 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k
25.919 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k
25.919 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
25.919 * [taylor]: Taking taylor expansion of 0.5 in k
25.919 * [backup-simplify]: Simplify 0.5 into 0.5
25.919 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
25.919 * [taylor]: Taking taylor expansion of 1.0 in k
25.919 * [backup-simplify]: Simplify 1.0 into 1.0
25.920 * [taylor]: Taking taylor expansion of k in k
25.920 * [backup-simplify]: Simplify 0 into 0
25.920 * [backup-simplify]: Simplify 1 into 1
25.920 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
25.920 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
25.920 * [taylor]: Taking taylor expansion of 2.0 in k
25.920 * [backup-simplify]: Simplify 2.0 into 2.0
25.920 * [taylor]: Taking taylor expansion of PI in k
25.920 * [backup-simplify]: Simplify PI into PI
25.920 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
25.922 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
25.922 * [backup-simplify]: Simplify (- 0) into 0
25.923 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
25.923 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
25.925 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI)))
25.928 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5)
25.928 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k
25.928 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k
25.928 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k
25.928 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
25.928 * [taylor]: Taking taylor expansion of 0.5 in k
25.928 * [backup-simplify]: Simplify 0.5 into 0.5
25.929 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
25.929 * [taylor]: Taking taylor expansion of 1.0 in k
25.929 * [backup-simplify]: Simplify 1.0 into 1.0
25.929 * [taylor]: Taking taylor expansion of k in k
25.929 * [backup-simplify]: Simplify 0 into 0
25.929 * [backup-simplify]: Simplify 1 into 1
25.929 * [taylor]: Taking taylor expansion of (log n) in k
25.929 * [taylor]: Taking taylor expansion of n in k
25.929 * [backup-simplify]: Simplify n into n
25.929 * [backup-simplify]: Simplify (log n) into (log n)
25.929 * [backup-simplify]: Simplify (- 0) into 0
25.930 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
25.930 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
25.931 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n))
25.931 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5)
25.933 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) (pow n 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)
25.933 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
25.933 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
25.933 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
25.933 * [taylor]: Taking taylor expansion of 0.5 in n
25.933 * [backup-simplify]: Simplify 0.5 into 0.5
25.933 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
25.933 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
25.933 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
25.933 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
25.933 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
25.933 * [taylor]: Taking taylor expansion of 1.0 in n
25.934 * [backup-simplify]: Simplify 1.0 into 1.0
25.934 * [taylor]: Taking taylor expansion of (log PI) in n
25.934 * [taylor]: Taking taylor expansion of PI in n
25.934 * [backup-simplify]: Simplify PI into PI
25.934 * [backup-simplify]: Simplify (log PI) into (log PI)
25.936 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
25.937 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
25.937 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
25.938 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
25.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
25.938 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
25.938 * [taylor]: Taking taylor expansion of 1.0 in n
25.938 * [backup-simplify]: Simplify 1.0 into 1.0
25.938 * [taylor]: Taking taylor expansion of (log n) in n
25.938 * [taylor]: Taking taylor expansion of n in n
25.938 * [backup-simplify]: Simplify 0 into 0
25.938 * [backup-simplify]: Simplify 1 into 1
25.938 * [backup-simplify]: Simplify (log 1) into 0
25.939 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.939 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
25.940 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
25.940 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
25.940 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
25.940 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
25.940 * [taylor]: Taking taylor expansion of 1.0 in n
25.940 * [backup-simplify]: Simplify 1.0 into 1.0
25.940 * [taylor]: Taking taylor expansion of (log 2.0) in n
25.940 * [taylor]: Taking taylor expansion of 2.0 in n
25.940 * [backup-simplify]: Simplify 2.0 into 2.0
25.940 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
25.942 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
25.943 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
25.945 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
25.947 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
25.950 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
25.953 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
25.955 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
25.957 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)
25.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
25.959 * [backup-simplify]: Simplify (- 1) into -1
25.959 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.960 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
25.961 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n)))
25.961 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))
25.962 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
25.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
25.963 * [backup-simplify]: Simplify (- 1) into -1
25.964 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.965 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
25.967 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI))))
25.975 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI))))
25.983 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (pow n 0.5))) into (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n)))))
25.983 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))))) in n
25.983 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n)))) in n
25.983 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) in n
25.983 * [taylor]: Taking taylor expansion of 0.5 in n
25.983 * [backup-simplify]: Simplify 0.5 into 0.5
25.983 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI))) in n
25.983 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
25.983 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
25.983 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
25.983 * [taylor]: Taking taylor expansion of 0.5 in n
25.983 * [backup-simplify]: Simplify 0.5 into 0.5
25.983 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
25.983 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
25.983 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
25.983 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
25.983 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
25.983 * [taylor]: Taking taylor expansion of 1.0 in n
25.983 * [backup-simplify]: Simplify 1.0 into 1.0
25.984 * [taylor]: Taking taylor expansion of (log PI) in n
25.984 * [taylor]: Taking taylor expansion of PI in n
25.984 * [backup-simplify]: Simplify PI into PI
25.984 * [backup-simplify]: Simplify (log PI) into (log PI)
25.986 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
25.987 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
25.988 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
25.988 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
25.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
25.988 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
25.988 * [taylor]: Taking taylor expansion of 1.0 in n
25.988 * [backup-simplify]: Simplify 1.0 into 1.0
25.988 * [taylor]: Taking taylor expansion of (log n) in n
25.988 * [taylor]: Taking taylor expansion of n in n
25.988 * [backup-simplify]: Simplify 0 into 0
25.988 * [backup-simplify]: Simplify 1 into 1
25.988 * [backup-simplify]: Simplify (log 1) into 0
25.989 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
25.989 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
25.990 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
25.990 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
25.990 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
25.990 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
25.990 * [taylor]: Taking taylor expansion of 1.0 in n
25.990 * [backup-simplify]: Simplify 1.0 into 1.0
25.990 * [taylor]: Taking taylor expansion of (log 2.0) in n
25.990 * [taylor]: Taking taylor expansion of 2.0 in n
25.990 * [backup-simplify]: Simplify 2.0 into 2.0
25.991 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
25.992 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
25.994 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
25.995 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
25.997 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
25.999 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
26.001 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
26.003 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
26.003 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n
26.003 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n
26.003 * [taylor]: Taking taylor expansion of 2.0 in n
26.003 * [backup-simplify]: Simplify 2.0 into 2.0
26.003 * [taylor]: Taking taylor expansion of PI in n
26.003 * [backup-simplify]: Simplify PI into PI
26.003 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
26.004 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
26.004 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) in n
26.004 * [taylor]: Taking taylor expansion of 0.5 in n
26.004 * [backup-simplify]: Simplify 0.5 into 0.5
26.004 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n)) in n
26.004 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
26.004 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
26.004 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
26.004 * [taylor]: Taking taylor expansion of 0.5 in n
26.004 * [backup-simplify]: Simplify 0.5 into 0.5
26.004 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
26.004 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
26.004 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
26.004 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
26.004 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
26.004 * [taylor]: Taking taylor expansion of 1.0 in n
26.004 * [backup-simplify]: Simplify 1.0 into 1.0
26.004 * [taylor]: Taking taylor expansion of (log PI) in n
26.004 * [taylor]: Taking taylor expansion of PI in n
26.004 * [backup-simplify]: Simplify PI into PI
26.005 * [backup-simplify]: Simplify (log PI) into (log PI)
26.005 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
26.006 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
26.007 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
26.007 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
26.007 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
26.007 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
26.007 * [taylor]: Taking taylor expansion of 1.0 in n
26.007 * [backup-simplify]: Simplify 1.0 into 1.0
26.007 * [taylor]: Taking taylor expansion of (log n) in n
26.007 * [taylor]: Taking taylor expansion of n in n
26.007 * [backup-simplify]: Simplify 0 into 0
26.007 * [backup-simplify]: Simplify 1 into 1
26.007 * [backup-simplify]: Simplify (log 1) into 0
26.007 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
26.008 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
26.008 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
26.008 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
26.008 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
26.008 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
26.008 * [taylor]: Taking taylor expansion of 1.0 in n
26.008 * [backup-simplify]: Simplify 1.0 into 1.0
26.008 * [taylor]: Taking taylor expansion of (log 2.0) in n
26.008 * [taylor]: Taking taylor expansion of 2.0 in n
26.008 * [backup-simplify]: Simplify 2.0 into 2.0
26.008 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
26.009 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
26.010 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
26.011 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
26.012 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
26.013 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
26.015 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
26.021 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
26.021 * [taylor]: Taking taylor expansion of (log n) in n
26.021 * [taylor]: Taking taylor expansion of n in n
26.021 * [backup-simplify]: Simplify 0 into 0
26.021 * [backup-simplify]: Simplify 1 into 1
26.022 * [backup-simplify]: Simplify (log 1) into 0
26.024 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log (* 2.0 PI))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))
26.028 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) into (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))
26.029 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
26.033 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log n)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))
26.036 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) into (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)))
26.045 * [backup-simplify]: Simplify (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)))) into (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))))
26.054 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))))) into (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))
26.058 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))))) into (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n)))))
26.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0
26.060 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0
26.061 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0
26.062 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
26.062 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
26.063 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0
26.063 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
26.064 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0
26.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
26.065 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0
26.066 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
26.068 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0
26.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0
26.072 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0
26.075 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
26.075 * [backup-simplify]: Simplify 0 into 0
26.076 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
26.077 * [backup-simplify]: Simplify (- 0) into 0
26.077 * [backup-simplify]: Simplify (+ 0 0) into 0
26.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
26.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0
26.080 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))
26.080 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
26.083 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
26.083 * [backup-simplify]: Simplify (- 0) into 0
26.083 * [backup-simplify]: Simplify (+ 0 0) into 0
26.084 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
26.085 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0
26.094 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2)))
26.109 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))
26.109 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))) in n
26.109 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) in n
26.109 * [taylor]: Taking taylor expansion of 0.125 in n
26.109 * [backup-simplify]: Simplify 0.125 into 0.125
26.109 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2)) in n
26.109 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
26.109 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
26.109 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
26.109 * [taylor]: Taking taylor expansion of 0.5 in n
26.109 * [backup-simplify]: Simplify 0.5 into 0.5
26.109 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
26.109 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
26.109 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
26.109 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
26.109 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
26.109 * [taylor]: Taking taylor expansion of 1.0 in n
26.109 * [backup-simplify]: Simplify 1.0 into 1.0
26.109 * [taylor]: Taking taylor expansion of (log PI) in n
26.109 * [taylor]: Taking taylor expansion of PI in n
26.109 * [backup-simplify]: Simplify PI into PI
26.110 * [backup-simplify]: Simplify (log PI) into (log PI)
26.110 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
26.111 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
26.111 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
26.112 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
26.112 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
26.112 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
26.112 * [taylor]: Taking taylor expansion of 1.0 in n
26.112 * [backup-simplify]: Simplify 1.0 into 1.0
26.112 * [taylor]: Taking taylor expansion of (log n) in n
26.112 * [taylor]: Taking taylor expansion of n in n
26.112 * [backup-simplify]: Simplify 0 into 0
26.112 * [backup-simplify]: Simplify 1 into 1
26.112 * [backup-simplify]: Simplify (log 1) into 0
26.112 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
26.112 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
26.113 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
26.113 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
26.113 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
26.113 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
26.113 * [taylor]: Taking taylor expansion of 1.0 in n
26.113 * [backup-simplify]: Simplify 1.0 into 1.0
26.113 * [taylor]: Taking taylor expansion of (log 2.0) in n
26.113 * [taylor]: Taking taylor expansion of 2.0 in n
26.113 * [backup-simplify]: Simplify 2.0 into 2.0
26.113 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
26.114 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
26.115 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
26.116 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
26.117 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
26.118 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
26.120 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
26.122 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
26.122 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n
26.122 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n
26.122 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n
26.122 * [taylor]: Taking taylor expansion of 2.0 in n
26.122 * [backup-simplify]: Simplify 2.0 into 2.0
26.122 * [taylor]: Taking taylor expansion of PI in n
26.122 * [backup-simplify]: Simplify PI into PI
26.122 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
26.123 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
26.123 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))) in n
26.123 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) in n
26.123 * [taylor]: Taking taylor expansion of 0.25 in n
26.123 * [backup-simplify]: Simplify 0.25 into 0.25
26.123 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))) in n
26.123 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
26.123 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
26.123 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
26.123 * [taylor]: Taking taylor expansion of 0.5 in n
26.123 * [backup-simplify]: Simplify 0.5 into 0.5
26.123 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
26.123 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
26.123 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
26.123 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
26.123 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
26.123 * [taylor]: Taking taylor expansion of 1.0 in n
26.123 * [backup-simplify]: Simplify 1.0 into 1.0
26.123 * [taylor]: Taking taylor expansion of (log PI) in n
26.124 * [taylor]: Taking taylor expansion of PI in n
26.124 * [backup-simplify]: Simplify PI into PI
26.124 * [backup-simplify]: Simplify (log PI) into (log PI)
26.125 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
26.130 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
26.130 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
26.130 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
26.130 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
26.130 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
26.130 * [taylor]: Taking taylor expansion of 1.0 in n
26.130 * [backup-simplify]: Simplify 1.0 into 1.0
26.130 * [taylor]: Taking taylor expansion of (log n) in n
26.130 * [taylor]: Taking taylor expansion of n in n
26.130 * [backup-simplify]: Simplify 0 into 0
26.130 * [backup-simplify]: Simplify 1 into 1
26.131 * [backup-simplify]: Simplify (log 1) into 0
26.131 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
26.131 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
26.131 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
26.131 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
26.131 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
26.131 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
26.131 * [taylor]: Taking taylor expansion of 1.0 in n
26.131 * [backup-simplify]: Simplify 1.0 into 1.0
26.132 * [taylor]: Taking taylor expansion of (log 2.0) in n
26.132 * [taylor]: Taking taylor expansion of 2.0 in n
26.132 * [backup-simplify]: Simplify 2.0 into 2.0
26.132 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
26.133 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
26.134 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
26.135 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
26.137 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
26.140 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
26.143 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
26.147 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
26.147 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n
26.147 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n
26.147 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n
26.147 * [taylor]: Taking taylor expansion of 2.0 in n
26.147 * [backup-simplify]: Simplify 2.0 into 2.0
26.147 * [taylor]: Taking taylor expansion of PI in n
26.147 * [backup-simplify]: Simplify PI into PI
26.148 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
26.149 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
26.149 * [taylor]: Taking taylor expansion of (log n) in n
26.149 * [taylor]: Taking taylor expansion of n in n
26.149 * [backup-simplify]: Simplify 0 into 0
26.149 * [backup-simplify]: Simplify 1 into 1
26.149 * [backup-simplify]: Simplify (log 1) into 0
26.149 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) in n
26.149 * [taylor]: Taking taylor expansion of 0.125 in n
26.150 * [backup-simplify]: Simplify 0.125 into 0.125
26.150 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)) in n
26.150 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
26.150 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
26.150 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
26.150 * [taylor]: Taking taylor expansion of 0.5 in n
26.150 * [backup-simplify]: Simplify 0.5 into 0.5
26.150 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
26.150 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
26.150 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
26.150 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
26.150 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
26.150 * [taylor]: Taking taylor expansion of 1.0 in n
26.150 * [backup-simplify]: Simplify 1.0 into 1.0
26.150 * [taylor]: Taking taylor expansion of (log PI) in n
26.150 * [taylor]: Taking taylor expansion of PI in n
26.150 * [backup-simplify]: Simplify PI into PI
26.151 * [backup-simplify]: Simplify (log PI) into (log PI)
26.152 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
26.154 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
26.154 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
26.154 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
26.154 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
26.154 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
26.154 * [taylor]: Taking taylor expansion of 1.0 in n
26.154 * [backup-simplify]: Simplify 1.0 into 1.0
26.154 * [taylor]: Taking taylor expansion of (log n) in n
26.154 * [taylor]: Taking taylor expansion of n in n
26.154 * [backup-simplify]: Simplify 0 into 0
26.154 * [backup-simplify]: Simplify 1 into 1
26.155 * [backup-simplify]: Simplify (log 1) into 0
26.155 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
26.156 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
26.156 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
26.156 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
26.156 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
26.156 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
26.156 * [taylor]: Taking taylor expansion of 1.0 in n
26.156 * [backup-simplify]: Simplify 1.0 into 1.0
26.156 * [taylor]: Taking taylor expansion of (log 2.0) in n
26.156 * [taylor]: Taking taylor expansion of 2.0 in n
26.156 * [backup-simplify]: Simplify 2.0 into 2.0
26.157 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
26.158 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
26.160 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
26.161 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
26.163 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
26.166 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
26.169 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
26.173 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
26.174 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n
26.174 * [taylor]: Taking taylor expansion of (log n) in n
26.174 * [taylor]: Taking taylor expansion of n in n
26.174 * [backup-simplify]: Simplify 0 into 0
26.174 * [backup-simplify]: Simplify 1 into 1
26.174 * [backup-simplify]: Simplify (log 1) into 0
26.175 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
26.178 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2)
26.185 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log (* 2.0 PI)) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))
26.188 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) into (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2)))
26.189 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
26.190 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n))
26.193 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))
26.195 * [backup-simplify]: Simplify (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) into (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))
26.196 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
26.196 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
26.196 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2)
26.199 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log n) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))
26.201 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)))
26.205 * [backup-simplify]: Simplify (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)))) into (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))
26.214 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))) into (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))
26.223 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))))) into (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))
26.244 * [backup-simplify]: Simplify (+ (* (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))))) (* 1 k)) (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k)))))
26.247 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))
26.247 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0
26.247 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n
26.247 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n
26.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n
26.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n
26.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
26.247 * [taylor]: Taking taylor expansion of 0.5 in n
26.247 * [backup-simplify]: Simplify 0.5 into 0.5
26.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
26.247 * [taylor]: Taking taylor expansion of 1.0 in n
26.247 * [backup-simplify]: Simplify 1.0 into 1.0
26.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.247 * [taylor]: Taking taylor expansion of k in n
26.247 * [backup-simplify]: Simplify k into k
26.247 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.247 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
26.247 * [taylor]: Taking taylor expansion of (/ 1 n) in n
26.248 * [taylor]: Taking taylor expansion of n in n
26.248 * [backup-simplify]: Simplify 0 into 0
26.248 * [backup-simplify]: Simplify 1 into 1
26.248 * [backup-simplify]: Simplify (/ 1 1) into 1
26.248 * [backup-simplify]: Simplify (log 1) into 0
26.249 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
26.249 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
26.249 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
26.250 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
26.251 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))
26.251 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))
26.251 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n
26.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n
26.251 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n
26.252 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
26.252 * [taylor]: Taking taylor expansion of 0.5 in n
26.252 * [backup-simplify]: Simplify 0.5 into 0.5
26.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
26.252 * [taylor]: Taking taylor expansion of 1.0 in n
26.252 * [backup-simplify]: Simplify 1.0 into 1.0
26.252 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.252 * [taylor]: Taking taylor expansion of k in n
26.252 * [backup-simplify]: Simplify k into k
26.252 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.252 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n
26.252 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n
26.252 * [taylor]: Taking taylor expansion of 2.0 in n
26.252 * [backup-simplify]: Simplify 2.0 into 2.0
26.252 * [taylor]: Taking taylor expansion of PI in n
26.252 * [backup-simplify]: Simplify PI into PI
26.253 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
26.254 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
26.254 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
26.255 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
26.255 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
26.256 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))
26.258 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))
26.258 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k
26.258 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k
26.258 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k
26.259 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k
26.259 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
26.259 * [taylor]: Taking taylor expansion of 0.5 in k
26.259 * [backup-simplify]: Simplify 0.5 into 0.5
26.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
26.259 * [taylor]: Taking taylor expansion of 1.0 in k
26.259 * [backup-simplify]: Simplify 1.0 into 1.0
26.259 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.259 * [taylor]: Taking taylor expansion of k in k
26.259 * [backup-simplify]: Simplify 0 into 0
26.259 * [backup-simplify]: Simplify 1 into 1
26.259 * [backup-simplify]: Simplify (/ 1 1) into 1
26.259 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
26.259 * [taylor]: Taking taylor expansion of (/ 1 n) in k
26.259 * [taylor]: Taking taylor expansion of n in k
26.259 * [backup-simplify]: Simplify n into n
26.259 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
26.260 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
26.260 * [backup-simplify]: Simplify (- 1) into -1
26.261 * [backup-simplify]: Simplify (+ 0 -1) into -1
26.261 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
26.261 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n)))
26.262 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n)))))
26.262 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k
26.262 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k
26.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k
26.262 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
26.263 * [taylor]: Taking taylor expansion of 0.5 in k
26.263 * [backup-simplify]: Simplify 0.5 into 0.5
26.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
26.263 * [taylor]: Taking taylor expansion of 1.0 in k
26.263 * [backup-simplify]: Simplify 1.0 into 1.0
26.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.263 * [taylor]: Taking taylor expansion of k in k
26.263 * [backup-simplify]: Simplify 0 into 0
26.263 * [backup-simplify]: Simplify 1 into 1
26.268 * [backup-simplify]: Simplify (/ 1 1) into 1
26.268 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
26.268 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
26.268 * [taylor]: Taking taylor expansion of 2.0 in k
26.268 * [backup-simplify]: Simplify 2.0 into 2.0
26.268 * [taylor]: Taking taylor expansion of PI in k
26.268 * [backup-simplify]: Simplify PI into PI
26.269 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
26.270 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
26.271 * [backup-simplify]: Simplify (- 1) into -1
26.271 * [backup-simplify]: Simplify (+ 0 -1) into -1
26.272 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
26.274 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI)))
26.276 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))
26.276 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k
26.276 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k
26.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k
26.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k
26.276 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
26.276 * [taylor]: Taking taylor expansion of 0.5 in k
26.276 * [backup-simplify]: Simplify 0.5 into 0.5
26.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
26.276 * [taylor]: Taking taylor expansion of 1.0 in k
26.276 * [backup-simplify]: Simplify 1.0 into 1.0
26.276 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.276 * [taylor]: Taking taylor expansion of k in k
26.276 * [backup-simplify]: Simplify 0 into 0
26.276 * [backup-simplify]: Simplify 1 into 1
26.276 * [backup-simplify]: Simplify (/ 1 1) into 1
26.277 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
26.277 * [taylor]: Taking taylor expansion of (/ 1 n) in k
26.277 * [taylor]: Taking taylor expansion of n in k
26.277 * [backup-simplify]: Simplify n into n
26.277 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
26.277 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
26.277 * [backup-simplify]: Simplify (- 1) into -1
26.278 * [backup-simplify]: Simplify (+ 0 -1) into -1
26.278 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
26.279 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n)))
26.280 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n)))))
26.280 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k
26.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k
26.280 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k
26.280 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
26.280 * [taylor]: Taking taylor expansion of 0.5 in k
26.280 * [backup-simplify]: Simplify 0.5 into 0.5
26.280 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
26.280 * [taylor]: Taking taylor expansion of 1.0 in k
26.280 * [backup-simplify]: Simplify 1.0 into 1.0
26.280 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.280 * [taylor]: Taking taylor expansion of k in k
26.280 * [backup-simplify]: Simplify 0 into 0
26.280 * [backup-simplify]: Simplify 1 into 1
26.281 * [backup-simplify]: Simplify (/ 1 1) into 1
26.281 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
26.281 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
26.281 * [taylor]: Taking taylor expansion of 2.0 in k
26.281 * [backup-simplify]: Simplify 2.0 into 2.0
26.281 * [taylor]: Taking taylor expansion of PI in k
26.281 * [backup-simplify]: Simplify PI into PI
26.281 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
26.283 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
26.283 * [backup-simplify]: Simplify (- 1) into -1
26.284 * [backup-simplify]: Simplify (+ 0 -1) into -1
26.284 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
26.286 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI)))
26.288 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))
26.291 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))))
26.291 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n)))))) in n
26.291 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) in n
26.291 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))) in n
26.291 * [taylor]: Taking taylor expansion of 0.5 in n
26.291 * [backup-simplify]: Simplify 0.5 into 0.5
26.291 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))) in n
26.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
26.291 * [taylor]: Taking taylor expansion of 1.0 in n
26.292 * [backup-simplify]: Simplify 1.0 into 1.0
26.292 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.292 * [taylor]: Taking taylor expansion of k in n
26.292 * [backup-simplify]: Simplify k into k
26.292 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.292 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n
26.292 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n
26.292 * [taylor]: Taking taylor expansion of 2.0 in n
26.292 * [backup-simplify]: Simplify 2.0 into 2.0
26.292 * [taylor]: Taking taylor expansion of PI in n
26.292 * [backup-simplify]: Simplify PI into PI
26.292 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
26.294 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
26.294 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
26.294 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
26.296 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))) into (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))
26.298 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))
26.299 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))
26.299 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) in n
26.299 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n)))) in n
26.299 * [taylor]: Taking taylor expansion of 0.5 in n
26.299 * [backup-simplify]: Simplify 0.5 into 0.5
26.299 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (/ 1 n))) in n
26.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
26.299 * [taylor]: Taking taylor expansion of 1.0 in n
26.299 * [backup-simplify]: Simplify 1.0 into 1.0
26.299 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.299 * [taylor]: Taking taylor expansion of k in n
26.299 * [backup-simplify]: Simplify k into k
26.299 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.299 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
26.299 * [taylor]: Taking taylor expansion of (/ 1 n) in n
26.299 * [taylor]: Taking taylor expansion of n in n
26.299 * [backup-simplify]: Simplify 0 into 0
26.299 * [backup-simplify]: Simplify 1 into 1
26.300 * [backup-simplify]: Simplify (/ 1 1) into 1
26.300 * [backup-simplify]: Simplify (log 1) into 0
26.300 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
26.300 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
26.300 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
26.301 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log n))) into (* -1 (* (- 1.0 (/ 1 k)) (log n)))
26.301 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (- 1.0 (/ 1 k)) (log n)))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))
26.302 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))
26.303 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))) into (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))
26.305 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) into (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))
26.307 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) into 0
26.307 * [taylor]: Taking taylor expansion of 0 in n
26.307 * [backup-simplify]: Simplify 0 into 0
26.307 * [backup-simplify]: Simplify 0 into 0
26.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
26.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
26.308 * [backup-simplify]: Simplify (- 0) into 0
26.309 * [backup-simplify]: Simplify (+ 0 0) into 0
26.309 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
26.309 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log n)))) into 0
26.310 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (- 1.0 (/ 1 k)) (log n))))) into 0
26.311 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
26.312 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
26.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
26.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
26.313 * [backup-simplify]: Simplify (- 0) into 0
26.313 * [backup-simplify]: Simplify (+ 0 0) into 0
26.314 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (log (* 2.0 PI)))) into 0
26.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) into 0
26.317 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
26.319 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 0) (* 0 (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))))) into 0
26.319 * [backup-simplify]: Simplify 0 into 0
26.321 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) into 0
26.321 * [taylor]: Taking taylor expansion of 0 in n
26.321 * [backup-simplify]: Simplify 0 into 0
26.321 * [backup-simplify]: Simplify 0 into 0
26.321 * [backup-simplify]: Simplify 0 into 0
26.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
26.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
26.323 * [backup-simplify]: Simplify (- 0) into 0
26.324 * [backup-simplify]: Simplify (+ 0 0) into 0
26.324 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
26.325 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
26.326 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (- 1.0 (/ 1 k)) (log n)))))) into 0
26.327 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
26.328 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
26.330 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
26.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
26.330 * [backup-simplify]: Simplify (- 0) into 0
26.331 * [backup-simplify]: Simplify (+ 0 0) into 0
26.332 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI))))) into 0
26.333 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) into 0
26.335 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
26.337 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 0) (+ (* 0 0) (* 0 (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))))) into 0
26.337 * [backup-simplify]: Simplify 0 into 0
26.339 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))))) into 0
26.339 * [taylor]: Taking taylor expansion of 0 in n
26.339 * [backup-simplify]: Simplify 0 into 0
26.339 * [backup-simplify]: Simplify 0 into 0
26.341 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI)))))) into (* (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))
26.342 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))))
26.342 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0
26.342 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0)))) in n
26.342 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n
26.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n
26.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n
26.342 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
26.342 * [taylor]: Taking taylor expansion of 0.5 in n
26.342 * [backup-simplify]: Simplify 0.5 into 0.5
26.342 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
26.342 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.342 * [taylor]: Taking taylor expansion of k in n
26.342 * [backup-simplify]: Simplify k into k
26.342 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.342 * [taylor]: Taking taylor expansion of 1.0 in n
26.342 * [backup-simplify]: Simplify 1.0 into 1.0
26.342 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n
26.342 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n
26.342 * [taylor]: Taking taylor expansion of 2.0 in n
26.343 * [backup-simplify]: Simplify 2.0 into 2.0
26.343 * [taylor]: Taking taylor expansion of PI in n
26.343 * [backup-simplify]: Simplify PI into PI
26.343 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
26.344 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
26.344 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
26.344 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
26.345 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))
26.346 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))
26.346 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n
26.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n
26.346 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n
26.346 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
26.346 * [taylor]: Taking taylor expansion of 0.5 in n
26.346 * [backup-simplify]: Simplify 0.5 into 0.5
26.346 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
26.346 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.346 * [taylor]: Taking taylor expansion of k in n
26.346 * [backup-simplify]: Simplify k into k
26.346 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.346 * [taylor]: Taking taylor expansion of 1.0 in n
26.346 * [backup-simplify]: Simplify 1.0 into 1.0
26.346 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
26.346 * [taylor]: Taking taylor expansion of (/ -1 n) in n
26.346 * [taylor]: Taking taylor expansion of -1 in n
26.346 * [backup-simplify]: Simplify -1 into -1
26.346 * [taylor]: Taking taylor expansion of n in n
26.346 * [backup-simplify]: Simplify 0 into 0
26.346 * [backup-simplify]: Simplify 1 into 1
26.347 * [backup-simplify]: Simplify (/ -1 1) into -1
26.347 * [backup-simplify]: Simplify (log -1) into (log -1)
26.347 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
26.347 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
26.348 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
26.349 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))
26.350 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))
26.350 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0)))) in k
26.350 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k
26.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k
26.350 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k
26.350 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
26.350 * [taylor]: Taking taylor expansion of 0.5 in k
26.350 * [backup-simplify]: Simplify 0.5 into 0.5
26.350 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
26.350 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.350 * [taylor]: Taking taylor expansion of k in k
26.350 * [backup-simplify]: Simplify 0 into 0
26.350 * [backup-simplify]: Simplify 1 into 1
26.350 * [backup-simplify]: Simplify (/ 1 1) into 1
26.350 * [taylor]: Taking taylor expansion of 1.0 in k
26.350 * [backup-simplify]: Simplify 1.0 into 1.0
26.350 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
26.350 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
26.350 * [taylor]: Taking taylor expansion of 2.0 in k
26.350 * [backup-simplify]: Simplify 2.0 into 2.0
26.350 * [taylor]: Taking taylor expansion of PI in k
26.350 * [backup-simplify]: Simplify PI into PI
26.351 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
26.351 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
26.352 * [backup-simplify]: Simplify (+ 1 0) into 1
26.352 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
26.353 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI)))
26.354 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))
26.354 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k
26.354 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k
26.354 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k
26.354 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
26.354 * [taylor]: Taking taylor expansion of 0.5 in k
26.354 * [backup-simplify]: Simplify 0.5 into 0.5
26.354 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
26.354 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.354 * [taylor]: Taking taylor expansion of k in k
26.355 * [backup-simplify]: Simplify 0 into 0
26.355 * [backup-simplify]: Simplify 1 into 1
26.355 * [backup-simplify]: Simplify (/ 1 1) into 1
26.355 * [taylor]: Taking taylor expansion of 1.0 in k
26.355 * [backup-simplify]: Simplify 1.0 into 1.0
26.355 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
26.355 * [taylor]: Taking taylor expansion of (/ -1 n) in k
26.355 * [taylor]: Taking taylor expansion of -1 in k
26.355 * [backup-simplify]: Simplify -1 into -1
26.355 * [taylor]: Taking taylor expansion of n in k
26.355 * [backup-simplify]: Simplify n into n
26.355 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
26.355 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
26.356 * [backup-simplify]: Simplify (+ 1 0) into 1
26.356 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
26.356 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n)))
26.356 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0))))
26.357 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0)))) in k
26.357 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k
26.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k
26.357 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k
26.357 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
26.357 * [taylor]: Taking taylor expansion of 0.5 in k
26.357 * [backup-simplify]: Simplify 0.5 into 0.5
26.357 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
26.357 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.357 * [taylor]: Taking taylor expansion of k in k
26.357 * [backup-simplify]: Simplify 0 into 0
26.357 * [backup-simplify]: Simplify 1 into 1
26.357 * [backup-simplify]: Simplify (/ 1 1) into 1
26.357 * [taylor]: Taking taylor expansion of 1.0 in k
26.357 * [backup-simplify]: Simplify 1.0 into 1.0
26.357 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k
26.357 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k
26.357 * [taylor]: Taking taylor expansion of 2.0 in k
26.357 * [backup-simplify]: Simplify 2.0 into 2.0
26.357 * [taylor]: Taking taylor expansion of PI in k
26.357 * [backup-simplify]: Simplify PI into PI
26.358 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
26.359 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
26.359 * [backup-simplify]: Simplify (+ 1 0) into 1
26.359 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
26.361 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI)))
26.362 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))
26.362 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k
26.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k
26.362 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k
26.362 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
26.362 * [taylor]: Taking taylor expansion of 0.5 in k
26.362 * [backup-simplify]: Simplify 0.5 into 0.5
26.362 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
26.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.362 * [taylor]: Taking taylor expansion of k in k
26.362 * [backup-simplify]: Simplify 0 into 0
26.362 * [backup-simplify]: Simplify 1 into 1
26.362 * [backup-simplify]: Simplify (/ 1 1) into 1
26.362 * [taylor]: Taking taylor expansion of 1.0 in k
26.362 * [backup-simplify]: Simplify 1.0 into 1.0
26.362 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
26.362 * [taylor]: Taking taylor expansion of (/ -1 n) in k
26.362 * [taylor]: Taking taylor expansion of -1 in k
26.362 * [backup-simplify]: Simplify -1 into -1
26.362 * [taylor]: Taking taylor expansion of n in k
26.362 * [backup-simplify]: Simplify n into n
26.362 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
26.362 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
26.363 * [backup-simplify]: Simplify (+ 1 0) into 1
26.363 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
26.363 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n)))
26.364 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0))))
26.365 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))
26.365 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n
26.365 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) in n
26.365 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0))) in n
26.365 * [taylor]: Taking taylor expansion of 0.5 in n
26.365 * [backup-simplify]: Simplify 0.5 into 0.5
26.365 * [taylor]: Taking taylor expansion of (* (log (/ -1 n)) (+ (/ 1 k) 1.0)) in n
26.365 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
26.365 * [taylor]: Taking taylor expansion of (/ -1 n) in n
26.365 * [taylor]: Taking taylor expansion of -1 in n
26.365 * [backup-simplify]: Simplify -1 into -1
26.365 * [taylor]: Taking taylor expansion of n in n
26.366 * [backup-simplify]: Simplify 0 into 0
26.366 * [backup-simplify]: Simplify 1 into 1
26.366 * [backup-simplify]: Simplify (/ -1 1) into -1
26.366 * [backup-simplify]: Simplify (log -1) into (log -1)
26.366 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
26.366 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.366 * [taylor]: Taking taylor expansion of k in n
26.366 * [backup-simplify]: Simplify k into k
26.366 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.366 * [taylor]: Taking taylor expansion of 1.0 in n
26.366 * [backup-simplify]: Simplify 1.0 into 1.0
26.367 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
26.367 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
26.368 * [backup-simplify]: Simplify (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))
26.368 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))
26.369 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))
26.369 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n
26.369 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n
26.369 * [taylor]: Taking taylor expansion of 0.5 in n
26.369 * [backup-simplify]: Simplify 0.5 into 0.5
26.369 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n
26.369 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n
26.369 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n
26.369 * [taylor]: Taking taylor expansion of 2.0 in n
26.369 * [backup-simplify]: Simplify 2.0 into 2.0
26.369 * [taylor]: Taking taylor expansion of PI in n
26.370 * [backup-simplify]: Simplify PI into PI
26.370 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI)
26.371 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI))
26.371 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
26.371 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.371 * [taylor]: Taking taylor expansion of k in n
26.371 * [backup-simplify]: Simplify k into k
26.371 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.371 * [taylor]: Taking taylor expansion of 1.0 in n
26.371 * [backup-simplify]: Simplify 1.0 into 1.0
26.371 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
26.372 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))
26.373 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))
26.374 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))
26.376 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))
26.378 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))
26.384 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))))) into 0
26.385 * [taylor]: Taking taylor expansion of 0 in n
26.385 * [backup-simplify]: Simplify 0 into 0
26.385 * [backup-simplify]: Simplify 0 into 0
26.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
26.386 * [backup-simplify]: Simplify (+ 0 0) into 0
26.386 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0
26.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0
26.390 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0
26.392 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0
26.394 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
26.395 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
26.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
26.396 * [backup-simplify]: Simplify (+ 0 0) into 0
26.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
26.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
26.398 * [backup-simplify]: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0
26.399 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0
26.400 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
26.402 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0
26.402 * [backup-simplify]: Simplify 0 into 0
26.404 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0))))))) into 0
26.404 * [taylor]: Taking taylor expansion of 0 in n
26.404 * [backup-simplify]: Simplify 0 into 0
26.404 * [backup-simplify]: Simplify 0 into 0
26.404 * [backup-simplify]: Simplify 0 into 0
26.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
26.405 * [backup-simplify]: Simplify (+ 0 0) into 0
26.405 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0
26.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0
26.408 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
26.410 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0
26.412 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
26.413 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
26.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
26.413 * [backup-simplify]: Simplify (+ 0 0) into 0
26.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.415 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
26.416 * [backup-simplify]: Simplify (+ (* (- (log -1) (log n)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
26.418 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0
26.419 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
26.421 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0
26.421 * [backup-simplify]: Simplify 0 into 0
26.424 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))))))) into 0
26.424 * [taylor]: Taking taylor expansion of 0 in n
26.424 * [backup-simplify]: Simplify 0 into 0
26.424 * [backup-simplify]: Simplify 0 into 0
26.426 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))) into (* (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))
26.426 * * * [progress]: simplifying candidates
26.426 * * * * [progress]: [ 1 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (posit16->real (real->posit16 (pow n (/ (- 1.0 k) 2.0)))))))>
26.426 * * * * [progress]: [ 2 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (log1p (expm1 (pow n (/ (- 1.0 k) 2.0)))))))>
26.426 * * * * [progress]: [ 3 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (expm1 (log1p (pow n (/ (- 1.0 k) 2.0)))))))>
26.426 * * * * [progress]: [ 4 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (exp (* (log n) (/ (- 1.0 k) 2.0))))))>
26.426 * * * * [progress]: [ 5 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (exp (* (log n) (/ (- 1.0 k) 2.0))))))>
26.426 * * * * [progress]: [ 6 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (* 1 (/ (- 1.0 k) 2.0))))))>
26.426 * * * * [progress]: [ 7 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))))))>
26.426 * * * * [progress]: [ 8 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (cbrt (/ (- 1.0 k) 2.0))))))>
26.426 * * * * [progress]: [ 9 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (sqrt (/ (- 1.0 k) 2.0))) (sqrt (/ (- 1.0 k) 2.0))))))>
26.426 * * * * [progress]: [ 10 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (- 1.0 k)) (cbrt 2.0))))))>
26.426 * * * * [progress]: [ 11 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (/ (cbrt (- 1.0 k)) (sqrt 2.0))))))>
26.426 * * * * [progress]: [ 12 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (/ (cbrt (- 1.0 k)) 2.0)))))>
26.427 * * * * [progress]: [ 13 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (- 1.0 k)) (cbrt 2.0))))))>
26.427 * * * * [progress]: [ 14 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (/ (sqrt (- 1.0 k)) (sqrt 2.0))))))>
26.427 * * * * [progress]: [ 15 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ (sqrt (- 1.0 k)) 1)) (/ (sqrt (- 1.0 k)) 2.0)))))>
26.427 * * * * [progress]: [ 16 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (/ (- 1.0 k) (cbrt 2.0))))))>
26.427 * * * * [progress]: [ 17 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ 1 (sqrt 2.0))) (/ (- 1.0 k) (sqrt 2.0))))))>
26.427 * * * * [progress]: [ 18 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ 1 1)) (/ (- 1.0 k) 2.0)))))>
26.427 * * * * [progress]: [ 19 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (/ (- (sqrt 1.0) (sqrt k)) (cbrt 2.0))))))>
26.427 * * * * [progress]: [ 20 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (/ (- (sqrt 1.0) (sqrt k)) (sqrt 2.0))))))>
26.427 * * * * [progress]: [ 21 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))))>
26.427 * * * * [progress]: [ 22 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (/ (- 1.0 k) (cbrt 2.0))))))>
26.427 * * * * [progress]: [ 23 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ 1 (sqrt 2.0))) (/ (- 1.0 k) (sqrt 2.0))))))>
26.427 * * * * [progress]: [ 24 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ 1 1)) (/ (- 1.0 k) 2.0)))))>
26.427 * * * * [progress]: [ 25 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n 1) (/ (- 1.0 k) 2.0)))))>
26.427 * * * * [progress]: [ 26 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (- 1.0 k)) (/ 1 2.0)))))>
26.427 * * * * [progress]: [ 27 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0))))))>
26.427 * * * * [progress]: [ 28 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))))>
26.427 * * * * [progress]: [ 29 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
26.427 * * * * [progress]: [ 30 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (pow n (/ (- 1.0 k) 2.0)) 1))))>
26.427 * * * * [progress]: [ 31 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (exp (log (pow n (/ (- 1.0 k) 2.0)))))))>
26.427 * * * * [progress]: [ 32 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (log (exp (pow n (/ (- 1.0 k) 2.0)))))))>
26.427 * * * * [progress]: [ 33 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0)))))))>
26.427 * * * * [progress]: [ 34 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (cbrt (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))))>
26.428 * * * * [progress]: [ 35 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))))))>
26.428 * * * * [progress]: [ 36 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* 1 (pow n (/ (- 1.0 k) 2.0))))))>
26.428 * * * * [progress]: [ 37 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))))))>
26.428 * * * * [progress]: [ 38 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (posit16->real (real->posit16 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 39 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (log1p (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 40 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (expm1 (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 41 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 42 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 43 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 44 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (* 1 (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 45 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (* 1 (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 46 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 47 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (cbrt (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 48 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 49 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (- 1.0 k)) (cbrt 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 50 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (/ (cbrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 51 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (/ (cbrt (- 1.0 k)) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 52 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (- 1.0 k)) (cbrt 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 53 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 54 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (/ (sqrt (- 1.0 k)) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 55 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (/ (- 1.0 k) (cbrt 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 56 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (/ (- 1.0 k) (sqrt 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.428 * * * * [progress]: [ 57 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ 1 1)) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 58 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (/ (- (sqrt 1.0) (sqrt k)) (cbrt 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 59 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (/ (- (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 60 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 61 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (/ (- 1.0 k) (cbrt 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 62 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (/ (- 1.0 k) (sqrt 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 63 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ 1 1)) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 64 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) 1) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 65 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (- 1.0 k)) (/ 1 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 66 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 67 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 68 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 69 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (log (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 70 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 71 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (cbrt (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 72 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 73 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* 1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 74 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 75 / 174 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1.0 (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 76 / 174 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (/ 1.0 (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 77 / 174 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (/ 1.0 (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 78 / 174 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1.0 (sqrt k)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 79 / 174 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log 1.0) (log (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 80 / 174 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1.0 (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.429 * * * * [progress]: [ 81 / 174 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1.0 (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 82 / 174 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 83 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 84 / 174 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 85 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 86 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1.0) (- (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 87 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 88 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 89 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 90 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 91 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 92 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 93 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 94 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 95 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 96 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 97 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 98 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 99 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 100 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 101 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 102 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.430 * * * * [progress]: [ 103 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 104 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 105 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 106 / 174 ] simplifiying candidate #<alt (λ (k n) (* (* 1.0 (/ 1 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 107 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 108 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 109 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 110 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 111 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt 1)) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 112 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 113 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 1) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 114 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 115 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1.0) (/ (sqrt k) (sqrt 1.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 116 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.431 * * * * [progress]: [ 117 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (posit16->real (real->posit16 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
26.431 * * * * [progress]: [ 118 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (log1p (expm1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
26.431 * * * * [progress]: [ 119 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (expm1 (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
26.431 * * * * [progress]: [ 120 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))>
26.431 * * * * [progress]: [ 121 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 1)))>
26.431 * * * * [progress]: [ 122 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))))>
26.431 * * * * [progress]: [ 123 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))))>
26.431 * * * * [progress]: [ 124 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))))))>
26.431 * * * * [progress]: [ 125 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))))>
26.431 * * * * [progress]: [ 126 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))))>
26.431 * * * * [progress]: [ 127 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))))))>
26.432 * * * * [progress]: [ 128 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))))>
26.432 * * * * [progress]: [ 129 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))))>
26.432 * * * * [progress]: [ 130 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))))))>
26.432 * * * * [progress]: [ 131 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))))))>
26.432 * * * * [progress]: [ 132 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))))))>
26.432 * * * * [progress]: [ 133 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))))))>
26.432 * * * * [progress]: [ 134 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
26.432 * * * * [progress]: [ 135 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (log (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
26.432 * * * * [progress]: [ 136 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (cbrt (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))))>
26.432 * * * * [progress]: [ 137 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
26.432 * * * * [progress]: [ 138 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (cbrt (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
26.432 * * * * [progress]: [ 139 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
26.432 * * * * [progress]: [ 140 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (/ (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))))))>
26.432 * * * * [progress]: [ 141 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* 1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
26.432 * * * * [progress]: [ 142 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))))))>
26.432 * * * * [progress]: [ 143 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))))))>
26.432 * * * * [progress]: [ 144 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))))))>
26.432 * * * * [progress]: [ 145 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))))>
26.432 * * * * [progress]: [ 146 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))))))>
26.432 * * * * [progress]: [ 147 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))))))>
26.432 * * * * [progress]: [ 148 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (pow (cbrt n) (/ (- 1.0 k) 2.0)))))>
26.432 * * * * [progress]: [ 149 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0)))))>
26.432 * * * * [progress]: [ 150 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
26.433 * * * * [progress]: [ 151 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (cbrt (pow n (/ (- 1.0 k) 2.0))))))>
26.433 * * * * [progress]: [ 152 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (sqrt (pow n (/ (- 1.0 k) 2.0))))))>
26.433 * * * * [progress]: [ 153 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (pow n (/ (- 1.0 k) 2.0)))))>
26.433 * * * * [progress]: [ 154 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2)))))>
26.433 * * * * [progress]: [ 155 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
26.433 * * * * [progress]: [ 156 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
26.433 * * * * [progress]: [ 157 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
26.433 * * * * [progress]: [ 158 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* 1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
26.433 * * * * [progress]: [ 159 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))))))>
26.433 * * * * [progress]: [ 160 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (/ (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (pow n (/ k 2.0)))))>
26.433 * * * * [progress]: [ 161 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (/ (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ k 2.0)))))>
26.433 * * * * [progress]: [ 162 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))))>
26.433 * * * * [progress]: [ 163 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (- (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))))))>
26.433 * * * * [progress]: [ 164 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))))>
26.433 * * * * [progress]: [ 165 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))))))>
26.433 * * * * [progress]: [ 166 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) (pow n (/ (- 1.0 k) 2.0)))))>
26.433 * * * * [progress]: [ 167 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow n (/ (- 1.0 k) 2.0)))))>
26.433 * * * * [progress]: [ 168 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow n (/ (- 1.0 k) 2.0)))))>
26.433 * * * * [progress]: [ 169 / 174 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.433 * * * * [progress]: [ 170 / 174 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.433 * * * * [progress]: [ 171 / 174 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>
26.433 * * * * [progress]: [ 172 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (- (+ (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k)))))))>
26.433 * * * * [progress]: [ 173 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))))>
26.434 * * * * [progress]: [ 174 / 174 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))))>
26.435 * [simplify]: Simplifying:
  (real->posit16 (pow n (/ (- 1.0 k) 2.0)))
  (expm1 (pow n (/ (- 1.0 k) 2.0)))
  (log1p (pow n (/ (- 1.0 k) 2.0)))
  (* (log n) (/ (- 1.0 k) 2.0))
  (* (log n) (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (pow n (/ 1.0 2.0))
  (pow n (/ k 2.0))
  (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow n (sqrt (/ (- 1.0 k) 2.0)))
  (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1))
  (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow n (/ (sqrt (- 1.0 k)) 1))
  (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ 1 (sqrt 2.0)))
  (pow n (/ 1 1))
  (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1))
  (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ 1 (sqrt 2.0)))
  (pow n (/ 1 1))
  (pow n 1)
  (pow n (- 1.0 k))
  (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))
  (pow (cbrt n) (/ (- 1.0 k) 2.0))
  (pow (sqrt n) (/ (- 1.0 k) 2.0))
  (pow (sqrt n) (/ (- 1.0 k) 2.0))
  (pow 1 (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (log (pow n (/ (- 1.0 k) 2.0)))
  (exp (pow n (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))
  (cbrt (pow n (/ (- 1.0 k) 2.0)))
  (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
  (sqrt (pow n (/ (- 1.0 k) 2.0)))
  (sqrt (pow n (/ (- 1.0 k) 2.0)))
  (pow n (/ (/ (- 1.0 k) 2.0) 2))
  (pow n (/ (/ (- 1.0 k) 2.0) 2))
  (real->posit16 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))
  (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))
  (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (pow (* 2.0 PI) (/ 1.0 2.0))
  (pow (* 2.0 PI) (/ k 2.0))
  (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1))
  (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1))
  (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* 2.0 PI) (/ 1 (sqrt 2.0)))
  (pow (* 2.0 PI) (/ 1 1))
  (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1))
  (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* 2.0 PI) (/ 1 (sqrt 2.0)))
  (pow (* 2.0 PI) (/ 1 1))
  (pow (* 2.0 PI) 1)
  (pow (* 2.0 PI) (- 1.0 k))
  (pow 2.0 (/ (- 1.0 k) 2.0))
  (pow PI (/ (- 1.0 k) 2.0))
  (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))
  (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
  (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))
  (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))
  (real->posit16 (/ 1.0 (sqrt k)))
  (expm1 (/ 1.0 (sqrt k)))
  (log1p (/ 1.0 (sqrt k)))
  (- (log 1.0) (log (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (exp (/ 1.0 (sqrt k)))
  (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))
  (cbrt (/ 1.0 (sqrt k)))
  (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (- 1.0)
  (- (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1.0) (cbrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1.0) (sqrt (cbrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))
  (/ (cbrt 1.0) (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) 1)
  (/ (cbrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1.0) (cbrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1.0) (sqrt (cbrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt 1))
  (/ (sqrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) 1)
  (/ (sqrt 1.0) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1.0 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1.0)
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 (sqrt 1))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 1)
  (/ (sqrt k) (cbrt 1.0))
  (/ (sqrt k) (sqrt 1.0))
  (/ (sqrt k) 1.0)
  (real->posit16 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (expm1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (* (* 2.0 PI) n)
  (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))
  (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))
  (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))
  (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))
  (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))
  (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))
  (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))
  (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))
  (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))
  (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))
  (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))
  (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))
  (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))
  (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))
  (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)))
  (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0)))
  (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0)))
  (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))))
  (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))))
  (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)))
  (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)))
  (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))
  (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))
  (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0))))
  (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0))))
  (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))
  (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))
  (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)))
  (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))
  (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)))
  (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))))
  (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0))))
  (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1)
  (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))
  (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
  (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
  (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))
  (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0)))
  (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))
  (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))
  (- (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k))))
  (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))
  (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k))))
  (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k))))
  (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))
  (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (- (+ (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k)))))
  (* (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))
  (* (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))
26.440 * * [simplify]: iteration 0: 323 enodes
26.816 * * [simplify]: iteration 1: 845 enodes
28.106 * * [simplify]: iteration 2: 2550 enodes
30.519 * * [simplify]: iteration complete: 5000 enodes
30.519 * * [simplify]: Extracting #0: cost 145 inf + 0
30.524 * * [simplify]: Extracting #1: cost 760 inf + 44
30.533 * * [simplify]: Extracting #2: cost 1282 inf + 7259
30.553 * * [simplify]: Extracting #3: cost 1387 inf + 48770
30.595 * * [simplify]: Extracting #4: cost 913 inf + 196425
30.673 * * [simplify]: Extracting #5: cost 382 inf + 495051
30.768 * * [simplify]: Extracting #6: cost 145 inf + 680681
30.937 * * [simplify]: Extracting #7: cost 92 inf + 710317
31.051 * * [simplify]: Extracting #8: cost 85 inf + 719317
31.202 * * [simplify]: Extracting #9: cost 54 inf + 785487
31.361 * * [simplify]: Extracting #10: cost 20 inf + 847297
31.516 * * [simplify]: Extracting #11: cost 6 inf + 861409
31.639 * * [simplify]: Extracting #12: cost 1 inf + 864708
31.777 * * [simplify]: Extracting #13: cost 0 inf + 865753
31.920 * [simplify]: Simplified to:
  (real->posit16 (pow n (/ (- 1.0 k) 2.0)))
  (expm1 (pow n (/ (- 1.0 k) 2.0)))
  (log1p (pow n (/ (- 1.0 k) 2.0)))
  (* (/ (- 1.0 k) 2.0) (log n))
  (* (/ (- 1.0 k) 2.0) (log n))
  (/ (- 1.0 k) 2.0)
  (pow n (/ 1.0 2.0))
  (pow n (/ k 2.0))
  (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow n (sqrt (/ (- 1.0 k) 2.0)))
  (pow n (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))))
  (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))))
  (pow n (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0)))
  (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow n (sqrt (- 1.0 k)))
  (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ 1 (sqrt 2.0)))
  n
  (pow n (/ (/ (+ (sqrt k) (sqrt 1.0)) (cbrt 2.0)) (cbrt 2.0)))
  (pow n (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0)))
  (pow n (+ (sqrt k) (sqrt 1.0)))
  (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ 1 (sqrt 2.0)))
  n
  n
  (pow n (- 1.0 k))
  (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))
  (pow (cbrt n) (/ (- 1.0 k) 2.0))
  (pow (sqrt n) (/ (- 1.0 k) 2.0))
  (pow (sqrt n) (/ (- 1.0 k) 2.0))
  1
  (pow n (/ (- 1.0 k) 2.0))
  (* (/ (- 1.0 k) 2.0) (log n))
  (exp (pow n (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))
  (cbrt (pow n (/ (- 1.0 k) 2.0)))
  (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
  (sqrt (pow n (/ (- 1.0 k) 2.0)))
  (sqrt (pow n (/ (- 1.0 k) 2.0)))
  (pow n (/ (- 1.0 k) (* 2 2.0)))
  (pow n (/ (- 1.0 k) (* 2 2.0)))
  (real->posit16 (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (expm1 (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (log1p (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (* (/ (- 1.0 k) 2.0) (log (* PI 2.0)))
  (* (/ (- 1.0 k) 2.0) (log (* PI 2.0)))
  (* (/ (- 1.0 k) 2.0) (log (* PI 2.0)))
  (/ (- 1.0 k) 2.0)
  (/ (- 1.0 k) 2.0)
  (pow (* PI 2.0) (/ 1.0 2.0))
  (pow (* PI 2.0) (/ k 2.0))
  (pow (* PI 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow (* PI 2.0) (sqrt (/ (- 1.0 k) 2.0)))
  (pow (* PI 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))))
  (pow (* PI 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow (* PI 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))))
  (pow (* PI 2.0) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0)))
  (pow (* PI 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow (* PI 2.0) (sqrt (- 1.0 k)))
  (pow (* PI 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* PI 2.0) (/ 1 (sqrt 2.0)))
  (* PI 2.0)
  (pow (* PI 2.0) (/ (/ (+ (sqrt k) (sqrt 1.0)) (cbrt 2.0)) (cbrt 2.0)))
  (pow (* PI 2.0) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0)))
  (pow (* PI 2.0) (+ (sqrt k) (sqrt 1.0)))
  (pow (* PI 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow (* PI 2.0) (/ 1 (sqrt 2.0)))
  (* PI 2.0)
  (* PI 2.0)
  (pow (* PI 2.0) (- 1.0 k))
  (pow 2.0 (/ (- 1.0 k) 2.0))
  (pow PI (/ (- 1.0 k) 2.0))
  (* (/ (- 1.0 k) 2.0) (log (* PI 2.0)))
  (exp (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (* (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0)))
  (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0)))
  (real->posit16 (/ 1.0 (sqrt k)))
  (expm1 (/ 1.0 (sqrt k)))
  (log1p (/ 1.0 (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (exp (/ 1.0 (sqrt k)))
  (* (/ 1.0 (sqrt k)) (/ (* 1.0 1.0) k))
  (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))
  (cbrt (/ 1.0 (sqrt k)))
  (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))))
  (sqrt (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (- 1.0)
  (- (sqrt k))
  (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k))))
  (/ (cbrt 1.0) (cbrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k)))
  (/ (cbrt 1.0) (sqrt (cbrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (sqrt k))
  (/ (/ (sqrt 1.0) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt 1.0) (cbrt (sqrt k)))
  (/ (sqrt 1.0) (fabs (cbrt k)))
  (/ (sqrt 1.0) (sqrt (cbrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (sqrt 1.0)
  (/ (sqrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (sqrt 1.0)
  (/ (sqrt 1.0) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1.0 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1.0 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1.0)
  (/ (/ 1.0 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1.0 (fabs (cbrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1.0
  (/ 1.0 (sqrt (sqrt k)))
  1.0
  (/ (sqrt k) (cbrt 1.0))
  (/ (sqrt k) (sqrt 1.0))
  (/ (sqrt k) 1.0)
  (real->posit16 (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (expm1 (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (log1p (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (* (* PI 2.0) n)
  (* (/ (- 1.0 k) 2.0) (+ (log (* PI 2.0)) (log n)))
  (* (/ (- 1.0 k) 2.0) (+ (log (* PI 2.0)) (log n)))
  (* (/ (- 1.0 k) 2.0) (+ (log (* PI 2.0)) (log n)))
  (* (/ (- 1.0 k) 2.0) (+ (log (* PI 2.0)) (log n)))
  (* (/ (- 1.0 k) 2.0) (+ (log (* PI 2.0)) (log n)))
  (* (/ (- 1.0 k) 2.0) (+ (log (* PI 2.0)) (log n)))
  (* (/ (- 1.0 k) 2.0) (+ (log (* PI 2.0)) (log n)))
  (* (/ (- 1.0 k) 2.0) (+ (log (* PI 2.0)) (log n)))
  (* (/ (- 1.0 k) 2.0) (+ (log (* PI 2.0)) (log n)))
  (* (/ (- 1.0 k) 2.0) (+ (log (* PI 2.0)) (log n)))
  (* (/ (- 1.0 k) 2.0) (+ (log (* PI 2.0)) (log n)))
  (* (/ (- 1.0 k) 2.0) (+ (log (* PI 2.0)) (log n)))
  (* (/ (- 1.0 k) 2.0) (+ (log (* PI 2.0)) (log n)))
  (exp (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (* (* (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (* (cbrt (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (cbrt (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))))
  (cbrt (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (* (* (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (sqrt (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (sqrt (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (* (pow (* PI 2.0) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))
  (* (pow n (/ k 2.0)) (pow (* PI 2.0) (/ k 2.0)))
  (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (* (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (* (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (* (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) (* 2 2.0))))
  (* (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) (* 2 2.0))))
  (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0))))
  (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0))))
  (* (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))))
  (* (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))))
  (* (pow n (/ (- 1.0 k) (* 2 2.0))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0))))
  (* (pow n (/ (- 1.0 k) (* 2 2.0))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0))))
  (* (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (pow (* PI 2.0) (/ (- 1.0 k) 2.0))
  (* (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))))
  (* (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (pow (* PI 2.0) (/ (- 1.0 k) 2.0))
  (* (pow n (/ (- 1.0 k) (* 2 2.0))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))
  (* (pow n (/ (- 1.0 k) 2.0)) (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (* (pow n (/ (- 1.0 k) 2.0)) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))
  (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (* (pow n (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0))))
  (* (pow n (/ 1.0 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))
  (* (pow (* PI 2.0) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))
  (fma (* (* (* k (log n)) (* k (log n))) (pow (pow n 1.0) 0.5)) 0.125 (- (pow n 0.5) (* (* (log n) k) (* 0.5 (pow (pow n 1.0) 0.5)))))
  (exp (* (- 1.0 k) (* (- (log n)) -0.5)))
  (exp (* (- 1.0 k) (* 0.5 (+ 0 (log n)))))
  (- (fma (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 0.125) (* (* (log (* PI 2.0)) k) (* (log (* PI 2.0)) k)) (pow (* PI 2.0) 0.5)) (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* k (log (* PI 2.0)))) 0.5))
  (exp (* (* 0.5 (- 1.0 k)) (log (* PI 2.0))))
  (exp (* (* 0.5 (- 1.0 k)) (log (* PI 2.0))))
  (fma (* k k) (- +nan.0) (- +nan.0 (* +nan.0 k)))
  (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ +nan.0 (* (* k k) k))))
  (+ (- (/ +nan.0 (* k k))) (- (/ +nan.0 k) +nan.0))
  (+ (pow (pow (pow (pow (pow (pow (pow (* (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (fma 0.125 (* (pow (* (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* (* (log (* PI 2.0)) k) (* (log (* PI 2.0)) k))) (- (fma (* (* (pow (* (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (log (* PI 2.0))) (* (log n) (* k k))) 0.25 (* (* 0.125 (* (* k (log n)) (* k (log n)))) (pow (* (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* (* (pow (* (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) 0.5) (fma k (log (* PI 2.0)) (* (log n) k))))))
  (exp (fma (* (- 1.0 k) (log (* PI 2.0))) 0.5 (* (- 1.0 k) (* (- (log n)) -0.5))))
  (exp (* (- 1.0 k) (fma 0.5 (+ 0 (log n)) (* (log (* PI 2.0)) 0.5))))
31.933 * * * [progress]: adding candidates to table
33.906 * * [progress]: iteration 4 / 4
33.906 * * * [progress]: picking best candidate
34.029 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
34.029 * * * [progress]: localizing error
34.094 * * * [progress]: generating rewritten candidates
34.094 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
34.115 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
34.125 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
34.134 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
34.265 * * * [progress]: generating series expansions
34.266 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
34.266 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k)))
34.266 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0
34.266 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k
34.266 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k
34.266 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k
34.266 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
34.266 * [taylor]: Taking taylor expansion of 0.5 in k
34.266 * [backup-simplify]: Simplify 0.5 into 0.5
34.266 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
34.266 * [taylor]: Taking taylor expansion of 1.0 in k
34.266 * [backup-simplify]: Simplify 1.0 into 1.0
34.266 * [taylor]: Taking taylor expansion of k in k
34.266 * [backup-simplify]: Simplify 0 into 0
34.266 * [backup-simplify]: Simplify 1 into 1
34.266 * [taylor]: Taking taylor expansion of (log n) in k
34.266 * [taylor]: Taking taylor expansion of n in k
34.266 * [backup-simplify]: Simplify n into n
34.267 * [backup-simplify]: Simplify (log n) into (log n)
34.267 * [backup-simplify]: Simplify (- 0) into 0
34.267 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
34.268 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
34.268 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n))
34.268 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5)
34.268 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n
34.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n
34.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n
34.268 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
34.268 * [taylor]: Taking taylor expansion of 0.5 in n
34.268 * [backup-simplify]: Simplify 0.5 into 0.5
34.268 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
34.268 * [taylor]: Taking taylor expansion of 1.0 in n
34.268 * [backup-simplify]: Simplify 1.0 into 1.0
34.268 * [taylor]: Taking taylor expansion of k in n
34.268 * [backup-simplify]: Simplify k into k
34.268 * [taylor]: Taking taylor expansion of (log n) in n
34.268 * [taylor]: Taking taylor expansion of n in n
34.268 * [backup-simplify]: Simplify 0 into 0
34.268 * [backup-simplify]: Simplify 1 into 1
34.269 * [backup-simplify]: Simplify (log 1) into 0
34.269 * [backup-simplify]: Simplify (- k) into (- k)
34.269 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
34.269 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
34.269 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
34.270 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n)))
34.270 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n))))
34.270 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n
34.270 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n
34.270 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n
34.270 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
34.270 * [taylor]: Taking taylor expansion of 0.5 in n
34.270 * [backup-simplify]: Simplify 0.5 into 0.5
34.270 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
34.270 * [taylor]: Taking taylor expansion of 1.0 in n
34.270 * [backup-simplify]: Simplify 1.0 into 1.0
34.270 * [taylor]: Taking taylor expansion of k in n
34.270 * [backup-simplify]: Simplify k into k
34.270 * [taylor]: Taking taylor expansion of (log n) in n
34.270 * [taylor]: Taking taylor expansion of n in n
34.270 * [backup-simplify]: Simplify 0 into 0
34.270 * [backup-simplify]: Simplify 1 into 1
34.271 * [backup-simplify]: Simplify (log 1) into 0
34.271 * [backup-simplify]: Simplify (- k) into (- k)
34.271 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
34.271 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
34.271 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
34.271 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n)))
34.272 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n))))
34.272 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k
34.272 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k
34.272 * [taylor]: Taking taylor expansion of 0.5 in k
34.272 * [backup-simplify]: Simplify 0.5 into 0.5
34.272 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k
34.272 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
34.272 * [taylor]: Taking taylor expansion of 1.0 in k
34.272 * [backup-simplify]: Simplify 1.0 into 1.0
34.272 * [taylor]: Taking taylor expansion of k in k
34.272 * [backup-simplify]: Simplify 0 into 0
34.272 * [backup-simplify]: Simplify 1 into 1
34.272 * [taylor]: Taking taylor expansion of (log n) in k
34.272 * [taylor]: Taking taylor expansion of n in k
34.272 * [backup-simplify]: Simplify n into n
34.272 * [backup-simplify]: Simplify (log n) into (log n)
34.273 * [backup-simplify]: Simplify (- 0) into 0
34.273 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
34.273 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
34.273 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n))
34.273 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5)
34.274 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5)
34.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
34.275 * [backup-simplify]: Simplify (- 0) into 0
34.275 * [backup-simplify]: Simplify (+ 0 0) into 0
34.276 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0
34.276 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
34.276 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0
34.277 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
34.277 * [taylor]: Taking taylor expansion of 0 in k
34.277 * [backup-simplify]: Simplify 0 into 0
34.277 * [backup-simplify]: Simplify 0 into 0
34.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
34.278 * [backup-simplify]: Simplify (- 1) into -1
34.279 * [backup-simplify]: Simplify (+ 0 -1) into -1
34.279 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n))
34.280 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n)))
34.280 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))
34.281 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))
34.283 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
34.283 * [backup-simplify]: Simplify (- 0) into 0
34.283 * [backup-simplify]: Simplify (+ 0 0) into 0
34.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0
34.285 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
34.285 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
34.286 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
34.286 * [taylor]: Taking taylor expansion of 0 in k
34.286 * [backup-simplify]: Simplify 0 into 0
34.286 * [backup-simplify]: Simplify 0 into 0
34.286 * [backup-simplify]: Simplify 0 into 0
34.288 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
34.288 * [backup-simplify]: Simplify (- 0) into 0
34.289 * [backup-simplify]: Simplify (+ 0 0) into 0
34.289 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0
34.290 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0
34.291 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))
34.292 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))
34.294 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k))))
34.295 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))
34.295 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0
34.295 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k
34.295 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k
34.295 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k
34.295 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
34.295 * [taylor]: Taking taylor expansion of 0.5 in k
34.295 * [backup-simplify]: Simplify 0.5 into 0.5
34.295 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
34.295 * [taylor]: Taking taylor expansion of 1.0 in k
34.295 * [backup-simplify]: Simplify 1.0 into 1.0
34.295 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.295 * [taylor]: Taking taylor expansion of k in k
34.295 * [backup-simplify]: Simplify 0 into 0
34.295 * [backup-simplify]: Simplify 1 into 1
34.295 * [backup-simplify]: Simplify (/ 1 1) into 1
34.295 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
34.295 * [taylor]: Taking taylor expansion of (/ 1 n) in k
34.295 * [taylor]: Taking taylor expansion of n in k
34.296 * [backup-simplify]: Simplify n into n
34.296 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
34.296 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
34.296 * [backup-simplify]: Simplify (- 1) into -1
34.296 * [backup-simplify]: Simplify (+ 0 -1) into -1
34.297 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
34.297 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n)))
34.297 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n)))))
34.297 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n
34.297 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n
34.297 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n
34.297 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
34.297 * [taylor]: Taking taylor expansion of 0.5 in n
34.297 * [backup-simplify]: Simplify 0.5 into 0.5
34.297 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
34.298 * [taylor]: Taking taylor expansion of 1.0 in n
34.298 * [backup-simplify]: Simplify 1.0 into 1.0
34.298 * [taylor]: Taking taylor expansion of (/ 1 k) in n
34.298 * [taylor]: Taking taylor expansion of k in n
34.298 * [backup-simplify]: Simplify k into k
34.298 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
34.298 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
34.298 * [taylor]: Taking taylor expansion of (/ 1 n) in n
34.298 * [taylor]: Taking taylor expansion of n in n
34.298 * [backup-simplify]: Simplify 0 into 0
34.298 * [backup-simplify]: Simplify 1 into 1
34.298 * [backup-simplify]: Simplify (/ 1 1) into 1
34.299 * [backup-simplify]: Simplify (log 1) into 0
34.299 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
34.299 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
34.299 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
34.300 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
34.301 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))
34.301 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))
34.301 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n
34.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n
34.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n
34.302 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
34.302 * [taylor]: Taking taylor expansion of 0.5 in n
34.302 * [backup-simplify]: Simplify 0.5 into 0.5
34.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
34.302 * [taylor]: Taking taylor expansion of 1.0 in n
34.302 * [backup-simplify]: Simplify 1.0 into 1.0
34.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n
34.302 * [taylor]: Taking taylor expansion of k in n
34.302 * [backup-simplify]: Simplify k into k
34.302 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
34.302 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
34.302 * [taylor]: Taking taylor expansion of (/ 1 n) in n
34.302 * [taylor]: Taking taylor expansion of n in n
34.302 * [backup-simplify]: Simplify 0 into 0
34.302 * [backup-simplify]: Simplify 1 into 1
34.303 * [backup-simplify]: Simplify (/ 1 1) into 1
34.303 * [backup-simplify]: Simplify (log 1) into 0
34.303 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
34.303 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
34.304 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
34.304 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
34.305 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))
34.306 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))
34.306 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) in k
34.306 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) in k
34.306 * [taylor]: Taking taylor expansion of -0.5 in k
34.306 * [backup-simplify]: Simplify -0.5 into -0.5
34.306 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k
34.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
34.306 * [taylor]: Taking taylor expansion of 1.0 in k
34.306 * [backup-simplify]: Simplify 1.0 into 1.0
34.306 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.306 * [taylor]: Taking taylor expansion of k in k
34.306 * [backup-simplify]: Simplify 0 into 0
34.306 * [backup-simplify]: Simplify 1 into 1
34.307 * [backup-simplify]: Simplify (/ 1 1) into 1
34.307 * [taylor]: Taking taylor expansion of (log n) in k
34.307 * [taylor]: Taking taylor expansion of n in k
34.307 * [backup-simplify]: Simplify n into n
34.307 * [backup-simplify]: Simplify (log n) into (log n)
34.308 * [backup-simplify]: Simplify (- 1) into -1
34.308 * [backup-simplify]: Simplify (+ 0 -1) into -1
34.308 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n))
34.309 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n))
34.310 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))
34.311 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))
34.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
34.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
34.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
34.317 * [backup-simplify]: Simplify (- 0) into 0
34.318 * [backup-simplify]: Simplify (+ 0 0) into 0
34.318 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0
34.319 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
34.320 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
34.322 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
34.322 * [taylor]: Taking taylor expansion of 0 in k
34.322 * [backup-simplify]: Simplify 0 into 0
34.322 * [backup-simplify]: Simplify 0 into 0
34.322 * [backup-simplify]: Simplify 0 into 0
34.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
34.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
34.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
34.328 * [backup-simplify]: Simplify (- 0) into 0
34.328 * [backup-simplify]: Simplify (+ 0 0) into 0
34.329 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0
34.330 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
34.331 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
34.334 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
34.334 * [taylor]: Taking taylor expansion of 0 in k
34.334 * [backup-simplify]: Simplify 0 into 0
34.334 * [backup-simplify]: Simplify 0 into 0
34.334 * [backup-simplify]: Simplify 0 into 0
34.334 * [backup-simplify]: Simplify 0 into 0
34.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
34.341 * [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
34.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
34.342 * [backup-simplify]: Simplify (- 0) into 0
34.343 * [backup-simplify]: Simplify (+ 0 0) into 0
34.344 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0
34.345 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
34.347 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
34.350 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
34.350 * [taylor]: Taking taylor expansion of 0 in k
34.350 * [backup-simplify]: Simplify 0 into 0
34.350 * [backup-simplify]: Simplify 0 into 0
34.351 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))
34.352 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0)))
34.352 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0
34.352 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k
34.352 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k
34.352 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k
34.352 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
34.352 * [taylor]: Taking taylor expansion of 0.5 in k
34.352 * [backup-simplify]: Simplify 0.5 into 0.5
34.352 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
34.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.352 * [taylor]: Taking taylor expansion of k in k
34.352 * [backup-simplify]: Simplify 0 into 0
34.352 * [backup-simplify]: Simplify 1 into 1
34.353 * [backup-simplify]: Simplify (/ 1 1) into 1
34.353 * [taylor]: Taking taylor expansion of 1.0 in k
34.353 * [backup-simplify]: Simplify 1.0 into 1.0
34.353 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
34.353 * [taylor]: Taking taylor expansion of (/ -1 n) in k
34.353 * [taylor]: Taking taylor expansion of -1 in k
34.353 * [backup-simplify]: Simplify -1 into -1
34.353 * [taylor]: Taking taylor expansion of n in k
34.353 * [backup-simplify]: Simplify n into n
34.353 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
34.353 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
34.354 * [backup-simplify]: Simplify (+ 1 0) into 1
34.354 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
34.355 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n)))
34.356 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0))))
34.356 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n
34.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n
34.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n
34.356 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
34.356 * [taylor]: Taking taylor expansion of 0.5 in n
34.356 * [backup-simplify]: Simplify 0.5 into 0.5
34.356 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
34.356 * [taylor]: Taking taylor expansion of (/ 1 k) in n
34.356 * [taylor]: Taking taylor expansion of k in n
34.356 * [backup-simplify]: Simplify k into k
34.356 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
34.356 * [taylor]: Taking taylor expansion of 1.0 in n
34.356 * [backup-simplify]: Simplify 1.0 into 1.0
34.356 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
34.356 * [taylor]: Taking taylor expansion of (/ -1 n) in n
34.356 * [taylor]: Taking taylor expansion of -1 in n
34.356 * [backup-simplify]: Simplify -1 into -1
34.356 * [taylor]: Taking taylor expansion of n in n
34.356 * [backup-simplify]: Simplify 0 into 0
34.356 * [backup-simplify]: Simplify 1 into 1
34.357 * [backup-simplify]: Simplify (/ -1 1) into -1
34.358 * [backup-simplify]: Simplify (log -1) into (log -1)
34.358 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
34.358 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
34.360 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
34.361 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))
34.363 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))
34.363 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n
34.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n
34.363 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n
34.363 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
34.363 * [taylor]: Taking taylor expansion of 0.5 in n
34.363 * [backup-simplify]: Simplify 0.5 into 0.5
34.363 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
34.363 * [taylor]: Taking taylor expansion of (/ 1 k) in n
34.363 * [taylor]: Taking taylor expansion of k in n
34.363 * [backup-simplify]: Simplify k into k
34.363 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
34.363 * [taylor]: Taking taylor expansion of 1.0 in n
34.363 * [backup-simplify]: Simplify 1.0 into 1.0
34.364 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
34.364 * [taylor]: Taking taylor expansion of (/ -1 n) in n
34.364 * [taylor]: Taking taylor expansion of -1 in n
34.364 * [backup-simplify]: Simplify -1 into -1
34.364 * [taylor]: Taking taylor expansion of n in n
34.364 * [backup-simplify]: Simplify 0 into 0
34.364 * [backup-simplify]: Simplify 1 into 1
34.364 * [backup-simplify]: Simplify (/ -1 1) into -1
34.365 * [backup-simplify]: Simplify (log -1) into (log -1)
34.365 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
34.365 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
34.367 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
34.368 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))
34.369 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))
34.370 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k
34.370 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k
34.370 * [taylor]: Taking taylor expansion of 0.5 in k
34.370 * [backup-simplify]: Simplify 0.5 into 0.5
34.370 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k
34.370 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k
34.370 * [taylor]: Taking taylor expansion of (log -1) in k
34.370 * [taylor]: Taking taylor expansion of -1 in k
34.370 * [backup-simplify]: Simplify -1 into -1
34.370 * [backup-simplify]: Simplify (log -1) into (log -1)
34.370 * [taylor]: Taking taylor expansion of (log n) in k
34.371 * [taylor]: Taking taylor expansion of n in k
34.371 * [backup-simplify]: Simplify n into n
34.371 * [backup-simplify]: Simplify (log n) into (log n)
34.371 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
34.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.371 * [taylor]: Taking taylor expansion of k in k
34.371 * [backup-simplify]: Simplify 0 into 0
34.371 * [backup-simplify]: Simplify 1 into 1
34.371 * [backup-simplify]: Simplify (/ 1 1) into 1
34.371 * [taylor]: Taking taylor expansion of 1.0 in k
34.371 * [backup-simplify]: Simplify 1.0 into 1.0
34.372 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
34.373 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
34.373 * [backup-simplify]: Simplify (+ 1 0) into 1
34.374 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n))
34.375 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n)))
34.377 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))
34.378 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))
34.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
34.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
34.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
34.382 * [backup-simplify]: Simplify (+ 0 0) into 0
34.383 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0
34.384 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
34.385 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0
34.388 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
34.388 * [taylor]: Taking taylor expansion of 0 in k
34.388 * [backup-simplify]: Simplify 0 into 0
34.388 * [backup-simplify]: Simplify 0 into 0
34.388 * [backup-simplify]: Simplify 0 into 0
34.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
34.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
34.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
34.392 * [backup-simplify]: Simplify (+ 0 0) into 0
34.393 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
34.393 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
34.395 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
34.396 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
34.396 * [taylor]: Taking taylor expansion of 0 in k
34.396 * [backup-simplify]: Simplify 0 into 0
34.396 * [backup-simplify]: Simplify 0 into 0
34.396 * [backup-simplify]: Simplify 0 into 0
34.396 * [backup-simplify]: Simplify 0 into 0
34.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
34.400 * [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
34.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
34.401 * [backup-simplify]: Simplify (+ 0 0) into 0
34.402 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0
34.402 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
34.404 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
34.406 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
34.406 * [taylor]: Taking taylor expansion of 0 in k
34.406 * [backup-simplify]: Simplify 0 into 0
34.406 * [backup-simplify]: Simplify 0 into 0
34.407 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k))))
34.407 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
34.407 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k)))
34.407 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0
34.407 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k
34.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k
34.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k
34.407 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
34.407 * [taylor]: Taking taylor expansion of 0.5 in k
34.407 * [backup-simplify]: Simplify 0.5 into 0.5
34.407 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
34.407 * [taylor]: Taking taylor expansion of 1.0 in k
34.407 * [backup-simplify]: Simplify 1.0 into 1.0
34.407 * [taylor]: Taking taylor expansion of k in k
34.407 * [backup-simplify]: Simplify 0 into 0
34.407 * [backup-simplify]: Simplify 1 into 1
34.407 * [taylor]: Taking taylor expansion of (log PI) in k
34.407 * [taylor]: Taking taylor expansion of PI in k
34.407 * [backup-simplify]: Simplify PI into PI
34.408 * [backup-simplify]: Simplify (log PI) into (log PI)
34.408 * [backup-simplify]: Simplify (- 0) into 0
34.408 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
34.409 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
34.410 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI))
34.411 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5)
34.411 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k
34.411 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k
34.411 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k
34.411 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
34.411 * [taylor]: Taking taylor expansion of 0.5 in k
34.411 * [backup-simplify]: Simplify 0.5 into 0.5
34.411 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
34.411 * [taylor]: Taking taylor expansion of 1.0 in k
34.411 * [backup-simplify]: Simplify 1.0 into 1.0
34.411 * [taylor]: Taking taylor expansion of k in k
34.411 * [backup-simplify]: Simplify 0 into 0
34.411 * [backup-simplify]: Simplify 1 into 1
34.411 * [taylor]: Taking taylor expansion of (log PI) in k
34.411 * [taylor]: Taking taylor expansion of PI in k
34.411 * [backup-simplify]: Simplify PI into PI
34.411 * [backup-simplify]: Simplify (log PI) into (log PI)
34.412 * [backup-simplify]: Simplify (- 0) into 0
34.412 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
34.412 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
34.413 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI))
34.414 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5)
34.415 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5)
34.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
34.416 * [backup-simplify]: Simplify (- 1) into -1
34.416 * [backup-simplify]: Simplify (+ 0 -1) into -1
34.417 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
34.420 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI)))
34.431 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5)))
34.436 * [backup-simplify]: Simplify (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) into (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5)))
34.440 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
34.440 * [backup-simplify]: Simplify (- 0) into 0
34.440 * [backup-simplify]: Simplify (+ 0 0) into 0
34.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
34.443 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0
34.457 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))
34.466 * [backup-simplify]: Simplify (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) into (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))
34.480 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) k) (pow PI 0.5))) into (- (+ (pow PI 0.5) (* 0.125 (* (* (pow (log PI) 2) (pow k 2)) (pow (pow PI 1.0) 0.5)))) (* 0.5 (* (* (log PI) k) (pow (pow PI 1.0) 0.5))))
34.481 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k))))
34.481 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0
34.481 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k
34.481 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k
34.481 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k
34.481 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
34.481 * [taylor]: Taking taylor expansion of 0.5 in k
34.481 * [backup-simplify]: Simplify 0.5 into 0.5
34.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
34.481 * [taylor]: Taking taylor expansion of 1.0 in k
34.481 * [backup-simplify]: Simplify 1.0 into 1.0
34.481 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.481 * [taylor]: Taking taylor expansion of k in k
34.481 * [backup-simplify]: Simplify 0 into 0
34.481 * [backup-simplify]: Simplify 1 into 1
34.482 * [backup-simplify]: Simplify (/ 1 1) into 1
34.482 * [taylor]: Taking taylor expansion of (log PI) in k
34.482 * [taylor]: Taking taylor expansion of PI in k
34.482 * [backup-simplify]: Simplify PI into PI
34.482 * [backup-simplify]: Simplify (log PI) into (log PI)
34.483 * [backup-simplify]: Simplify (- 1) into -1
34.483 * [backup-simplify]: Simplify (+ 0 -1) into -1
34.484 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
34.485 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI))
34.486 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))
34.486 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k
34.486 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k
34.486 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k
34.486 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
34.486 * [taylor]: Taking taylor expansion of 0.5 in k
34.486 * [backup-simplify]: Simplify 0.5 into 0.5
34.486 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
34.486 * [taylor]: Taking taylor expansion of 1.0 in k
34.487 * [backup-simplify]: Simplify 1.0 into 1.0
34.487 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.487 * [taylor]: Taking taylor expansion of k in k
34.487 * [backup-simplify]: Simplify 0 into 0
34.487 * [backup-simplify]: Simplify 1 into 1
34.487 * [backup-simplify]: Simplify (/ 1 1) into 1
34.487 * [taylor]: Taking taylor expansion of (log PI) in k
34.487 * [taylor]: Taking taylor expansion of PI in k
34.487 * [backup-simplify]: Simplify PI into PI
34.488 * [backup-simplify]: Simplify (log PI) into (log PI)
34.488 * [backup-simplify]: Simplify (- 1) into -1
34.489 * [backup-simplify]: Simplify (+ 0 -1) into -1
34.489 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
34.490 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI))
34.491 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))
34.493 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))
34.493 * [backup-simplify]: Simplify 0 into 0
34.493 * [backup-simplify]: Simplify 0 into 0
34.493 * [backup-simplify]: Simplify 0 into 0
34.493 * [backup-simplify]: Simplify 0 into 0
34.493 * [backup-simplify]: Simplify 0 into 0
34.493 * [backup-simplify]: Simplify 0 into 0
34.495 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI))))
34.495 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0)))
34.495 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0
34.495 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k
34.495 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k
34.495 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k
34.495 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
34.495 * [taylor]: Taking taylor expansion of 0.5 in k
34.495 * [backup-simplify]: Simplify 0.5 into 0.5
34.495 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
34.496 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.496 * [taylor]: Taking taylor expansion of k in k
34.496 * [backup-simplify]: Simplify 0 into 0
34.496 * [backup-simplify]: Simplify 1 into 1
34.496 * [backup-simplify]: Simplify (/ 1 1) into 1
34.496 * [taylor]: Taking taylor expansion of 1.0 in k
34.496 * [backup-simplify]: Simplify 1.0 into 1.0
34.496 * [taylor]: Taking taylor expansion of (log PI) in k
34.496 * [taylor]: Taking taylor expansion of PI in k
34.496 * [backup-simplify]: Simplify PI into PI
34.497 * [backup-simplify]: Simplify (log PI) into (log PI)
34.497 * [backup-simplify]: Simplify (+ 1 0) into 1
34.498 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
34.499 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI))
34.500 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))
34.500 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k
34.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k
34.500 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k
34.500 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
34.500 * [taylor]: Taking taylor expansion of 0.5 in k
34.500 * [backup-simplify]: Simplify 0.5 into 0.5
34.500 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
34.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.501 * [taylor]: Taking taylor expansion of k in k
34.501 * [backup-simplify]: Simplify 0 into 0
34.501 * [backup-simplify]: Simplify 1 into 1
34.501 * [backup-simplify]: Simplify (/ 1 1) into 1
34.501 * [taylor]: Taking taylor expansion of 1.0 in k
34.501 * [backup-simplify]: Simplify 1.0 into 1.0
34.501 * [taylor]: Taking taylor expansion of (log PI) in k
34.501 * [taylor]: Taking taylor expansion of PI in k
34.501 * [backup-simplify]: Simplify PI into PI
34.502 * [backup-simplify]: Simplify (log PI) into (log PI)
34.502 * [backup-simplify]: Simplify (+ 1 0) into 1
34.503 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
34.504 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI))
34.505 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))
34.506 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))
34.507 * [backup-simplify]: Simplify 0 into 0
34.507 * [backup-simplify]: Simplify 0 into 0
34.507 * [backup-simplify]: Simplify 0 into 0
34.507 * [backup-simplify]: Simplify 0 into 0
34.507 * [backup-simplify]: Simplify 0 into 0
34.507 * [backup-simplify]: Simplify 0 into 0
34.508 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log PI))))
34.508 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
34.508 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k)))
34.508 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0
34.508 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k
34.508 * [taylor]: Taking taylor expansion of 1.0 in k
34.508 * [backup-simplify]: Simplify 1.0 into 1.0
34.509 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
34.509 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.509 * [taylor]: Taking taylor expansion of k in k
34.509 * [backup-simplify]: Simplify 0 into 0
34.509 * [backup-simplify]: Simplify 1 into 1
34.509 * [backup-simplify]: Simplify (/ 1 1) into 1
34.509 * [backup-simplify]: Simplify (sqrt 0) into 0
34.511 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
34.511 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k
34.511 * [taylor]: Taking taylor expansion of 1.0 in k
34.511 * [backup-simplify]: Simplify 1.0 into 1.0
34.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
34.511 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.511 * [taylor]: Taking taylor expansion of k in k
34.512 * [backup-simplify]: Simplify 0 into 0
34.512 * [backup-simplify]: Simplify 1 into 1
34.512 * [backup-simplify]: Simplify (/ 1 1) into 1
34.512 * [backup-simplify]: Simplify (sqrt 0) into 0
34.514 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
34.514 * [backup-simplify]: Simplify (* 1.0 0) into 0
34.514 * [backup-simplify]: Simplify 0 into 0
34.516 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0)
34.516 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
34.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
34.521 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
34.523 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
34.524 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
34.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
34.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
34.532 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
34.532 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
34.534 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
34.535 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k))
34.535 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0
34.535 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k
34.535 * [taylor]: Taking taylor expansion of 1.0 in k
34.535 * [backup-simplify]: Simplify 1.0 into 1.0
34.535 * [taylor]: Taking taylor expansion of (sqrt k) in k
34.535 * [taylor]: Taking taylor expansion of k in k
34.535 * [backup-simplify]: Simplify 0 into 0
34.535 * [backup-simplify]: Simplify 1 into 1
34.535 * [backup-simplify]: Simplify (sqrt 0) into 0
34.537 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
34.537 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k
34.537 * [taylor]: Taking taylor expansion of 1.0 in k
34.537 * [backup-simplify]: Simplify 1.0 into 1.0
34.537 * [taylor]: Taking taylor expansion of (sqrt k) in k
34.537 * [taylor]: Taking taylor expansion of k in k
34.537 * [backup-simplify]: Simplify 0 into 0
34.537 * [backup-simplify]: Simplify 1 into 1
34.537 * [backup-simplify]: Simplify (sqrt 0) into 0
34.539 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
34.539 * [backup-simplify]: Simplify (* 1.0 0) into 0
34.539 * [backup-simplify]: Simplify 0 into 0
34.541 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0)
34.541 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
34.545 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
34.547 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
34.547 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
34.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
34.554 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0)
34.555 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
34.557 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
34.558 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k)))
34.558 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0
34.558 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k
34.558 * [taylor]: Taking taylor expansion of 1.0 in k
34.558 * [backup-simplify]: Simplify 1.0 into 1.0
34.558 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
34.558 * [taylor]: Taking taylor expansion of (/ -1 k) in k
34.558 * [taylor]: Taking taylor expansion of -1 in k
34.558 * [backup-simplify]: Simplify -1 into -1
34.558 * [taylor]: Taking taylor expansion of k in k
34.558 * [backup-simplify]: Simplify 0 into 0
34.558 * [backup-simplify]: Simplify 1 into 1
34.558 * [backup-simplify]: Simplify (/ -1 1) into -1
34.559 * [backup-simplify]: Simplify (sqrt 0) into 0
34.560 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
34.561 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0
34.561 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k
34.561 * [taylor]: Taking taylor expansion of 1.0 in k
34.561 * [backup-simplify]: Simplify 1.0 into 1.0
34.561 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
34.561 * [taylor]: Taking taylor expansion of (/ -1 k) in k
34.561 * [taylor]: Taking taylor expansion of -1 in k
34.561 * [backup-simplify]: Simplify -1 into -1
34.561 * [taylor]: Taking taylor expansion of k in k
34.561 * [backup-simplify]: Simplify 0 into 0
34.561 * [backup-simplify]: Simplify 1 into 1
34.562 * [backup-simplify]: Simplify (/ -1 1) into -1
34.562 * [backup-simplify]: Simplify (sqrt 0) into 0
34.563 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
34.564 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0
34.564 * [backup-simplify]: Simplify +nan.0 into +nan.0
34.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
34.568 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
34.571 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
34.571 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
34.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
34.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
34.582 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
34.582 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
34.584 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
34.584 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
34.586 * [backup-simplify]: Simplify (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) into (* (pow 2.0 (* 0.5 (- 1.0 k))) (* (pow n (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))))
34.586 * [approximate]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (* (pow n (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))))) in (k n) around 0
34.586 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (* (pow n (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))))) in n
34.586 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n
34.586 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n
34.586 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n
34.586 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
34.586 * [taylor]: Taking taylor expansion of 0.5 in n
34.586 * [backup-simplify]: Simplify 0.5 into 0.5
34.587 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
34.587 * [taylor]: Taking taylor expansion of 1.0 in n
34.587 * [backup-simplify]: Simplify 1.0 into 1.0
34.587 * [taylor]: Taking taylor expansion of k in n
34.587 * [backup-simplify]: Simplify k into k
34.587 * [taylor]: Taking taylor expansion of (log 2.0) in n
34.587 * [taylor]: Taking taylor expansion of 2.0 in n
34.587 * [backup-simplify]: Simplify 2.0 into 2.0
34.587 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
34.588 * [backup-simplify]: Simplify (- k) into (- k)
34.588 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
34.588 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
34.589 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log 2.0)) into (* 0.5 (* (- 1.0 k) (log 2.0)))
34.590 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) into (exp (* 0.5 (* (- 1.0 k) (log 2.0))))
34.590 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) in n
34.590 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n
34.590 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n
34.590 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n
34.590 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
34.590 * [taylor]: Taking taylor expansion of 0.5 in n
34.590 * [backup-simplify]: Simplify 0.5 into 0.5
34.590 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
34.590 * [taylor]: Taking taylor expansion of 1.0 in n
34.590 * [backup-simplify]: Simplify 1.0 into 1.0
34.590 * [taylor]: Taking taylor expansion of k in n
34.590 * [backup-simplify]: Simplify k into k
34.590 * [taylor]: Taking taylor expansion of (log n) in n
34.590 * [taylor]: Taking taylor expansion of n in n
34.590 * [backup-simplify]: Simplify 0 into 0
34.590 * [backup-simplify]: Simplify 1 into 1
34.591 * [backup-simplify]: Simplify (log 1) into 0
34.591 * [backup-simplify]: Simplify (- k) into (- k)
34.591 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
34.591 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
34.592 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
34.592 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n)))
34.593 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n))))
34.593 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n
34.593 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n
34.593 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n
34.593 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n
34.593 * [taylor]: Taking taylor expansion of 0.5 in n
34.593 * [backup-simplify]: Simplify 0.5 into 0.5
34.593 * [taylor]: Taking taylor expansion of (- 1.0 k) in n
34.593 * [taylor]: Taking taylor expansion of 1.0 in n
34.593 * [backup-simplify]: Simplify 1.0 into 1.0
34.593 * [taylor]: Taking taylor expansion of k in n
34.593 * [backup-simplify]: Simplify k into k
34.594 * [taylor]: Taking taylor expansion of (log PI) in n
34.594 * [taylor]: Taking taylor expansion of PI in n
34.594 * [backup-simplify]: Simplify PI into PI
34.594 * [backup-simplify]: Simplify (log PI) into (log PI)
34.594 * [backup-simplify]: Simplify (- k) into (- k)
34.595 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k)
34.595 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k))
34.596 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log PI)) into (* 0.5 (* (- 1.0 k) (log PI)))
34.597 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI))))
34.597 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (* (pow n (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))))) in k
34.597 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k
34.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k
34.597 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k
34.597 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
34.597 * [taylor]: Taking taylor expansion of 0.5 in k
34.597 * [backup-simplify]: Simplify 0.5 into 0.5
34.597 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
34.597 * [taylor]: Taking taylor expansion of 1.0 in k
34.597 * [backup-simplify]: Simplify 1.0 into 1.0
34.597 * [taylor]: Taking taylor expansion of k in k
34.597 * [backup-simplify]: Simplify 0 into 0
34.598 * [backup-simplify]: Simplify 1 into 1
34.598 * [taylor]: Taking taylor expansion of (log 2.0) in k
34.598 * [taylor]: Taking taylor expansion of 2.0 in k
34.598 * [backup-simplify]: Simplify 2.0 into 2.0
34.598 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
34.599 * [backup-simplify]: Simplify (- 0) into 0
34.599 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
34.600 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
34.601 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0))
34.603 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5)
34.603 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) in k
34.603 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k
34.603 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k
34.603 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k
34.603 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
34.603 * [taylor]: Taking taylor expansion of 0.5 in k
34.603 * [backup-simplify]: Simplify 0.5 into 0.5
34.603 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
34.603 * [taylor]: Taking taylor expansion of 1.0 in k
34.603 * [backup-simplify]: Simplify 1.0 into 1.0
34.603 * [taylor]: Taking taylor expansion of k in k
34.603 * [backup-simplify]: Simplify 0 into 0
34.603 * [backup-simplify]: Simplify 1 into 1
34.603 * [taylor]: Taking taylor expansion of (log n) in k
34.603 * [taylor]: Taking taylor expansion of n in k
34.603 * [backup-simplify]: Simplify n into n
34.604 * [backup-simplify]: Simplify (log n) into (log n)
34.604 * [backup-simplify]: Simplify (- 0) into 0
34.604 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
34.605 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
34.605 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n))
34.606 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5)
34.606 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k
34.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k
34.606 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k
34.606 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
34.606 * [taylor]: Taking taylor expansion of 0.5 in k
34.606 * [backup-simplify]: Simplify 0.5 into 0.5
34.606 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
34.606 * [taylor]: Taking taylor expansion of 1.0 in k
34.606 * [backup-simplify]: Simplify 1.0 into 1.0
34.606 * [taylor]: Taking taylor expansion of k in k
34.606 * [backup-simplify]: Simplify 0 into 0
34.606 * [backup-simplify]: Simplify 1 into 1
34.606 * [taylor]: Taking taylor expansion of (log PI) in k
34.606 * [taylor]: Taking taylor expansion of PI in k
34.606 * [backup-simplify]: Simplify PI into PI
34.607 * [backup-simplify]: Simplify (log PI) into (log PI)
34.607 * [backup-simplify]: Simplify (- 0) into 0
34.608 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
34.608 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
34.610 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI))
34.612 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5)
34.612 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (* (pow n (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))))) in k
34.612 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k
34.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k
34.612 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k
34.612 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
34.612 * [taylor]: Taking taylor expansion of 0.5 in k
34.612 * [backup-simplify]: Simplify 0.5 into 0.5
34.612 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
34.612 * [taylor]: Taking taylor expansion of 1.0 in k
34.612 * [backup-simplify]: Simplify 1.0 into 1.0
34.612 * [taylor]: Taking taylor expansion of k in k
34.612 * [backup-simplify]: Simplify 0 into 0
34.612 * [backup-simplify]: Simplify 1 into 1
34.612 * [taylor]: Taking taylor expansion of (log 2.0) in k
34.612 * [taylor]: Taking taylor expansion of 2.0 in k
34.612 * [backup-simplify]: Simplify 2.0 into 2.0
34.613 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
34.613 * [backup-simplify]: Simplify (- 0) into 0
34.614 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
34.614 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
34.615 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0))
34.617 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5)
34.617 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) in k
34.617 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k
34.617 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k
34.617 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k
34.617 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
34.617 * [taylor]: Taking taylor expansion of 0.5 in k
34.618 * [backup-simplify]: Simplify 0.5 into 0.5
34.618 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
34.618 * [taylor]: Taking taylor expansion of 1.0 in k
34.618 * [backup-simplify]: Simplify 1.0 into 1.0
34.618 * [taylor]: Taking taylor expansion of k in k
34.618 * [backup-simplify]: Simplify 0 into 0
34.618 * [backup-simplify]: Simplify 1 into 1
34.618 * [taylor]: Taking taylor expansion of (log n) in k
34.618 * [taylor]: Taking taylor expansion of n in k
34.618 * [backup-simplify]: Simplify n into n
34.618 * [backup-simplify]: Simplify (log n) into (log n)
34.618 * [backup-simplify]: Simplify (- 0) into 0
34.619 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
34.619 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
34.620 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n))
34.620 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5)
34.620 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k
34.620 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k
34.620 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k
34.620 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k
34.620 * [taylor]: Taking taylor expansion of 0.5 in k
34.620 * [backup-simplify]: Simplify 0.5 into 0.5
34.620 * [taylor]: Taking taylor expansion of (- 1.0 k) in k
34.620 * [taylor]: Taking taylor expansion of 1.0 in k
34.620 * [backup-simplify]: Simplify 1.0 into 1.0
34.620 * [taylor]: Taking taylor expansion of k in k
34.620 * [backup-simplify]: Simplify 0 into 0
34.621 * [backup-simplify]: Simplify 1 into 1
34.621 * [taylor]: Taking taylor expansion of (log PI) in k
34.621 * [taylor]: Taking taylor expansion of PI in k
34.621 * [backup-simplify]: Simplify PI into PI
34.621 * [backup-simplify]: Simplify (log PI) into (log PI)
34.626 * [backup-simplify]: Simplify (- 0) into 0
34.627 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
34.628 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5
34.629 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI))
34.631 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5)
34.633 * [backup-simplify]: Simplify (* (pow n 0.5) (pow PI 0.5)) into (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)
34.635 * [backup-simplify]: Simplify (* (pow 2.0 0.5) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)
34.635 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
34.635 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
34.635 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
34.635 * [taylor]: Taking taylor expansion of 0.5 in n
34.635 * [backup-simplify]: Simplify 0.5 into 0.5
34.635 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
34.635 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
34.635 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
34.635 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
34.635 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
34.635 * [taylor]: Taking taylor expansion of 1.0 in n
34.635 * [backup-simplify]: Simplify 1.0 into 1.0
34.635 * [taylor]: Taking taylor expansion of (log PI) in n
34.636 * [taylor]: Taking taylor expansion of PI in n
34.636 * [backup-simplify]: Simplify PI into PI
34.636 * [backup-simplify]: Simplify (log PI) into (log PI)
34.637 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
34.640 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
34.640 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
34.640 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
34.640 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
34.640 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
34.640 * [taylor]: Taking taylor expansion of 1.0 in n
34.640 * [backup-simplify]: Simplify 1.0 into 1.0
34.640 * [taylor]: Taking taylor expansion of (log n) in n
34.640 * [taylor]: Taking taylor expansion of n in n
34.640 * [backup-simplify]: Simplify 0 into 0
34.640 * [backup-simplify]: Simplify 1 into 1
34.640 * [backup-simplify]: Simplify (log 1) into 0
34.641 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
34.641 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
34.642 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
34.642 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
34.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
34.642 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
34.642 * [taylor]: Taking taylor expansion of 1.0 in n
34.642 * [backup-simplify]: Simplify 1.0 into 1.0
34.642 * [taylor]: Taking taylor expansion of (log 2.0) in n
34.642 * [taylor]: Taking taylor expansion of 2.0 in n
34.642 * [backup-simplify]: Simplify 2.0 into 2.0
34.643 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
34.644 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
34.646 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
34.647 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
34.649 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
34.652 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
34.655 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
34.659 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
34.663 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)
34.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
34.665 * [backup-simplify]: Simplify (- 1) into -1
34.666 * [backup-simplify]: Simplify (+ 0 -1) into -1
34.667 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
34.671 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI)))
34.682 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5)))
34.683 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
34.683 * [backup-simplify]: Simplify (- 1) into -1
34.684 * [backup-simplify]: Simplify (+ 0 -1) into -1
34.686 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
34.687 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n)))
34.688 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))
34.696 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5)))) (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (pow PI 0.5))) into (- (+ (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log n))) (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI)))))
34.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0
34.698 * [backup-simplify]: Simplify (- 1) into -1
34.699 * [backup-simplify]: Simplify (+ 0 -1) into -1
34.701 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5)
34.704 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0)))
34.714 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))
34.728 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (- (+ (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log n))) (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) into (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))))))
34.729 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)))))) in n
34.729 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))))) in n
34.729 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) in n
34.729 * [taylor]: Taking taylor expansion of 0.5 in n
34.729 * [backup-simplify]: Simplify 0.5 into 0.5
34.729 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n)) in n
34.729 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
34.729 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
34.729 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
34.729 * [taylor]: Taking taylor expansion of 0.5 in n
34.729 * [backup-simplify]: Simplify 0.5 into 0.5
34.729 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
34.729 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
34.729 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
34.729 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
34.729 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
34.729 * [taylor]: Taking taylor expansion of 1.0 in n
34.729 * [backup-simplify]: Simplify 1.0 into 1.0
34.729 * [taylor]: Taking taylor expansion of (log PI) in n
34.729 * [taylor]: Taking taylor expansion of PI in n
34.729 * [backup-simplify]: Simplify PI into PI
34.730 * [backup-simplify]: Simplify (log PI) into (log PI)
34.731 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
34.733 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
34.733 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
34.734 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
34.734 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
34.734 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
34.734 * [taylor]: Taking taylor expansion of 1.0 in n
34.734 * [backup-simplify]: Simplify 1.0 into 1.0
34.734 * [taylor]: Taking taylor expansion of (log n) in n
34.734 * [taylor]: Taking taylor expansion of n in n
34.734 * [backup-simplify]: Simplify 0 into 0
34.734 * [backup-simplify]: Simplify 1 into 1
34.734 * [backup-simplify]: Simplify (log 1) into 0
34.735 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
34.735 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
34.736 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
34.736 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
34.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
34.736 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
34.736 * [taylor]: Taking taylor expansion of 1.0 in n
34.736 * [backup-simplify]: Simplify 1.0 into 1.0
34.736 * [taylor]: Taking taylor expansion of (log 2.0) in n
34.736 * [taylor]: Taking taylor expansion of 2.0 in n
34.736 * [backup-simplify]: Simplify 2.0 into 2.0
34.736 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
34.737 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
34.739 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
34.740 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
34.743 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
34.746 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
34.749 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
34.752 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
34.752 * [taylor]: Taking taylor expansion of (log n) in n
34.752 * [taylor]: Taking taylor expansion of n in n
34.752 * [backup-simplify]: Simplify 0 into 0
34.752 * [backup-simplify]: Simplify 1 into 1
34.753 * [backup-simplify]: Simplify (log 1) into 0
34.753 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)))) in n
34.753 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) in n
34.753 * [taylor]: Taking taylor expansion of 0.5 in n
34.753 * [backup-simplify]: Simplify 0.5 into 0.5
34.753 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0)) in n
34.753 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
34.753 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
34.753 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
34.753 * [taylor]: Taking taylor expansion of 0.5 in n
34.753 * [backup-simplify]: Simplify 0.5 into 0.5
34.753 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
34.753 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
34.753 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
34.753 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
34.753 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
34.753 * [taylor]: Taking taylor expansion of 1.0 in n
34.753 * [backup-simplify]: Simplify 1.0 into 1.0
34.753 * [taylor]: Taking taylor expansion of (log PI) in n
34.753 * [taylor]: Taking taylor expansion of PI in n
34.754 * [backup-simplify]: Simplify PI into PI
34.754 * [backup-simplify]: Simplify (log PI) into (log PI)
34.755 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
34.757 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
34.757 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
34.757 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
34.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
34.758 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
34.758 * [taylor]: Taking taylor expansion of 1.0 in n
34.758 * [backup-simplify]: Simplify 1.0 into 1.0
34.758 * [taylor]: Taking taylor expansion of (log n) in n
34.758 * [taylor]: Taking taylor expansion of n in n
34.758 * [backup-simplify]: Simplify 0 into 0
34.758 * [backup-simplify]: Simplify 1 into 1
34.758 * [backup-simplify]: Simplify (log 1) into 0
34.759 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
34.759 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
34.760 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
34.760 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
34.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
34.760 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
34.760 * [taylor]: Taking taylor expansion of 1.0 in n
34.760 * [backup-simplify]: Simplify 1.0 into 1.0
34.760 * [taylor]: Taking taylor expansion of (log 2.0) in n
34.760 * [taylor]: Taking taylor expansion of 2.0 in n
34.760 * [backup-simplify]: Simplify 2.0 into 2.0
34.760 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
34.762 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
34.763 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
34.765 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
34.767 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
34.770 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
34.774 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
34.777 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
34.777 * [taylor]: Taking taylor expansion of (log 2.0) in n
34.777 * [taylor]: Taking taylor expansion of 2.0 in n
34.777 * [backup-simplify]: Simplify 2.0 into 2.0
34.778 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
34.778 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) in n
34.778 * [taylor]: Taking taylor expansion of 0.5 in n
34.778 * [backup-simplify]: Simplify 0.5 into 0.5
34.778 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)) in n
34.778 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
34.778 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
34.778 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
34.778 * [taylor]: Taking taylor expansion of 0.5 in n
34.778 * [backup-simplify]: Simplify 0.5 into 0.5
34.778 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
34.778 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
34.778 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
34.778 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
34.778 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
34.778 * [taylor]: Taking taylor expansion of 1.0 in n
34.779 * [backup-simplify]: Simplify 1.0 into 1.0
34.779 * [taylor]: Taking taylor expansion of (log PI) in n
34.779 * [taylor]: Taking taylor expansion of PI in n
34.779 * [backup-simplify]: Simplify PI into PI
34.779 * [backup-simplify]: Simplify (log PI) into (log PI)
34.781 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
34.783 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
34.783 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
34.783 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
34.783 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
34.783 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
34.783 * [taylor]: Taking taylor expansion of 1.0 in n
34.783 * [backup-simplify]: Simplify 1.0 into 1.0
34.783 * [taylor]: Taking taylor expansion of (log n) in n
34.783 * [taylor]: Taking taylor expansion of n in n
34.783 * [backup-simplify]: Simplify 0 into 0
34.783 * [backup-simplify]: Simplify 1 into 1
34.783 * [backup-simplify]: Simplify (log 1) into 0
34.784 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
34.785 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
34.785 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
34.785 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
34.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
34.785 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
34.785 * [taylor]: Taking taylor expansion of 1.0 in n
34.785 * [backup-simplify]: Simplify 1.0 into 1.0
34.785 * [taylor]: Taking taylor expansion of (log 2.0) in n
34.785 * [taylor]: Taking taylor expansion of 2.0 in n
34.785 * [backup-simplify]: Simplify 2.0 into 2.0
34.786 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
34.787 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
34.789 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
34.790 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
34.793 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
34.796 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
34.804 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
34.808 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
34.808 * [taylor]: Taking taylor expansion of (log PI) in n
34.808 * [taylor]: Taking taylor expansion of PI in n
34.808 * [backup-simplify]: Simplify PI into PI
34.809 * [backup-simplify]: Simplify (log PI) into (log PI)
34.810 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
34.815 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log n)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))
34.819 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) into (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)))
34.824 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log 2.0)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))
34.827 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) into (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log 2.0)))
34.832 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log PI)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))
34.835 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) into (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)))
34.843 * [backup-simplify]: Simplify (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log 2.0))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)))) into (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))))
34.855 * [backup-simplify]: Simplify (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))))) into (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log 2.0)))))
34.869 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log 2.0)))))) into (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))))))
34.878 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)))))) into (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log 2.0))))))
34.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0
34.880 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0
34.881 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0
34.881 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
34.882 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
34.883 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0
34.883 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0
34.884 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0
34.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
34.885 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0
34.886 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
34.888 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0
34.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0
34.892 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0
34.894 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
34.894 * [backup-simplify]: Simplify 0 into 0
34.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
34.897 * [backup-simplify]: Simplify (- 0) into 0
34.897 * [backup-simplify]: Simplify (+ 0 0) into 0
34.898 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
34.898 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0
34.906 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))
34.907 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
34.908 * [backup-simplify]: Simplify (- 0) into 0
34.908 * [backup-simplify]: Simplify (+ 0 0) into 0
34.909 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
34.909 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0
34.911 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))
34.920 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5)))) (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow PI 0.5)))) into (+ (* 0.25 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (* (log PI) (log n)))) (+ (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log n) 2)))))
34.922 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0
34.922 * [backup-simplify]: Simplify (- 0) into 0
34.923 * [backup-simplify]: Simplify (+ 0 0) into 0
34.923 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0
34.924 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0
34.936 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2)))
34.972 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (+ (* 0.25 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (* (log PI) (log n)))) (+ (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log n) 2)))))) (+ (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) (- (+ (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log n))) (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* (* 0.125 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)))) into (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))))))))
34.972 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2)))))))) in n
34.972 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) in n
34.973 * [taylor]: Taking taylor expansion of 0.125 in n
34.973 * [backup-simplify]: Simplify 0.125 into 0.125
34.973 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)) in n
34.973 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n
34.973 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n
34.973 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n
34.973 * [taylor]: Taking taylor expansion of 0.5 in n
34.973 * [backup-simplify]: Simplify 0.5 into 0.5
34.973 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n
34.973 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n
34.973 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
34.973 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
34.973 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
34.973 * [taylor]: Taking taylor expansion of 1.0 in n
34.973 * [backup-simplify]: Simplify 1.0 into 1.0
34.973 * [taylor]: Taking taylor expansion of (log 2.0) in n
34.973 * [taylor]: Taking taylor expansion of 2.0 in n
34.973 * [backup-simplify]: Simplify 2.0 into 2.0
34.974 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
34.975 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
34.977 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
34.977 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n
34.977 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
34.977 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
34.977 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
34.977 * [taylor]: Taking taylor expansion of 1.0 in n
34.977 * [backup-simplify]: Simplify 1.0 into 1.0
34.977 * [taylor]: Taking taylor expansion of (log n) in n
34.977 * [taylor]: Taking taylor expansion of n in n
34.977 * [backup-simplify]: Simplify 0 into 0
34.977 * [backup-simplify]: Simplify 1 into 1
34.978 * [backup-simplify]: Simplify (log 1) into 0
34.979 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
34.979 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
34.979 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
34.979 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
34.979 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
34.979 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
34.979 * [taylor]: Taking taylor expansion of 1.0 in n
34.979 * [backup-simplify]: Simplify 1.0 into 1.0
34.979 * [taylor]: Taking taylor expansion of (log PI) in n
34.979 * [taylor]: Taking taylor expansion of PI in n
34.980 * [backup-simplify]: Simplify PI into PI
34.980 * [backup-simplify]: Simplify (log PI) into (log PI)
34.981 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
34.983 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
34.984 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
34.987 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
34.990 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
34.993 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
34.997 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
34.997 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n
34.997 * [taylor]: Taking taylor expansion of (log n) in n
34.998 * [taylor]: Taking taylor expansion of n in n
34.998 * [backup-simplify]: Simplify 0 into 0
34.998 * [backup-simplify]: Simplify 1 into 1
34.998 * [backup-simplify]: Simplify (log 1) into 0
34.998 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
34.998 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))))))) in n
34.998 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log n)))) in n
34.999 * [taylor]: Taking taylor expansion of 0.25 in n
34.999 * [backup-simplify]: Simplify 0.25 into 0.25
34.999 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log n))) in n
34.999 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n
34.999 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n
34.999 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n
34.999 * [taylor]: Taking taylor expansion of 0.5 in n
34.999 * [backup-simplify]: Simplify 0.5 into 0.5
34.999 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n
34.999 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n
34.999 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
34.999 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
34.999 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
34.999 * [taylor]: Taking taylor expansion of 1.0 in n
34.999 * [backup-simplify]: Simplify 1.0 into 1.0
34.999 * [taylor]: Taking taylor expansion of (log 2.0) in n
34.999 * [taylor]: Taking taylor expansion of 2.0 in n
34.999 * [backup-simplify]: Simplify 2.0 into 2.0
34.999 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.000 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
35.001 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
35.001 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n
35.001 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
35.001 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
35.001 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
35.001 * [taylor]: Taking taylor expansion of 1.0 in n
35.001 * [backup-simplify]: Simplify 1.0 into 1.0
35.001 * [taylor]: Taking taylor expansion of (log n) in n
35.001 * [taylor]: Taking taylor expansion of n in n
35.001 * [backup-simplify]: Simplify 0 into 0
35.001 * [backup-simplify]: Simplify 1 into 1
35.001 * [backup-simplify]: Simplify (log 1) into 0
35.002 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
35.002 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
35.002 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
35.002 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
35.002 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
35.002 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
35.002 * [taylor]: Taking taylor expansion of 1.0 in n
35.002 * [backup-simplify]: Simplify 1.0 into 1.0
35.002 * [taylor]: Taking taylor expansion of (log PI) in n
35.002 * [taylor]: Taking taylor expansion of PI in n
35.002 * [backup-simplify]: Simplify PI into PI
35.003 * [backup-simplify]: Simplify (log PI) into (log PI)
35.003 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
35.005 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
35.005 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
35.007 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
35.008 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
35.010 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
35.012 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
35.012 * [taylor]: Taking taylor expansion of (* (log PI) (log n)) in n
35.012 * [taylor]: Taking taylor expansion of (log PI) in n
35.012 * [taylor]: Taking taylor expansion of PI in n
35.012 * [backup-simplify]: Simplify PI into PI
35.012 * [backup-simplify]: Simplify (log PI) into (log PI)
35.012 * [taylor]: Taking taylor expansion of (log n) in n
35.012 * [taylor]: Taking taylor expansion of n in n
35.012 * [backup-simplify]: Simplify 0 into 0
35.012 * [backup-simplify]: Simplify 1 into 1
35.012 * [backup-simplify]: Simplify (log 1) into 0
35.013 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2)))))) in n
35.013 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) in n
35.013 * [taylor]: Taking taylor expansion of 0.25 in n
35.013 * [backup-simplify]: Simplify 0.25 into 0.25
35.013 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0))) in n
35.013 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
35.013 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
35.013 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
35.013 * [taylor]: Taking taylor expansion of 0.5 in n
35.013 * [backup-simplify]: Simplify 0.5 into 0.5
35.013 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
35.013 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
35.013 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
35.013 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
35.013 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
35.013 * [taylor]: Taking taylor expansion of 1.0 in n
35.013 * [backup-simplify]: Simplify 1.0 into 1.0
35.013 * [taylor]: Taking taylor expansion of (log PI) in n
35.013 * [taylor]: Taking taylor expansion of PI in n
35.013 * [backup-simplify]: Simplify PI into PI
35.013 * [backup-simplify]: Simplify (log PI) into (log PI)
35.014 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
35.015 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
35.015 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
35.015 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
35.015 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
35.015 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
35.015 * [taylor]: Taking taylor expansion of 1.0 in n
35.015 * [backup-simplify]: Simplify 1.0 into 1.0
35.015 * [taylor]: Taking taylor expansion of (log n) in n
35.015 * [taylor]: Taking taylor expansion of n in n
35.015 * [backup-simplify]: Simplify 0 into 0
35.015 * [backup-simplify]: Simplify 1 into 1
35.016 * [backup-simplify]: Simplify (log 1) into 0
35.016 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
35.016 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
35.016 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
35.016 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
35.016 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
35.016 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
35.017 * [taylor]: Taking taylor expansion of 1.0 in n
35.017 * [backup-simplify]: Simplify 1.0 into 1.0
35.017 * [taylor]: Taking taylor expansion of (log 2.0) in n
35.017 * [taylor]: Taking taylor expansion of 2.0 in n
35.017 * [backup-simplify]: Simplify 2.0 into 2.0
35.017 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.018 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
35.019 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
35.019 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
35.021 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
35.022 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
35.024 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
35.026 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
35.026 * [taylor]: Taking taylor expansion of (* (log n) (log 2.0)) in n
35.026 * [taylor]: Taking taylor expansion of (log n) in n
35.026 * [taylor]: Taking taylor expansion of n in n
35.026 * [backup-simplify]: Simplify 0 into 0
35.026 * [backup-simplify]: Simplify 1 into 1
35.026 * [backup-simplify]: Simplify (log 1) into 0
35.026 * [taylor]: Taking taylor expansion of (log 2.0) in n
35.026 * [taylor]: Taking taylor expansion of 2.0 in n
35.026 * [backup-simplify]: Simplify 2.0 into 2.0
35.027 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.027 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))))) in n
35.027 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) in n
35.027 * [taylor]: Taking taylor expansion of 0.125 in n
35.027 * [backup-simplify]: Simplify 0.125 into 0.125
35.027 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) in n
35.027 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n
35.027 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n
35.027 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n
35.027 * [taylor]: Taking taylor expansion of 0.5 in n
35.027 * [backup-simplify]: Simplify 0.5 into 0.5
35.027 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n
35.027 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n
35.027 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
35.027 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
35.027 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
35.027 * [taylor]: Taking taylor expansion of 1.0 in n
35.027 * [backup-simplify]: Simplify 1.0 into 1.0
35.027 * [taylor]: Taking taylor expansion of (log 2.0) in n
35.027 * [taylor]: Taking taylor expansion of 2.0 in n
35.027 * [backup-simplify]: Simplify 2.0 into 2.0
35.027 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.028 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
35.029 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
35.029 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n
35.029 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
35.030 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
35.030 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
35.030 * [taylor]: Taking taylor expansion of 1.0 in n
35.030 * [backup-simplify]: Simplify 1.0 into 1.0
35.030 * [taylor]: Taking taylor expansion of (log n) in n
35.030 * [taylor]: Taking taylor expansion of n in n
35.030 * [backup-simplify]: Simplify 0 into 0
35.030 * [backup-simplify]: Simplify 1 into 1
35.030 * [backup-simplify]: Simplify (log 1) into 0
35.031 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
35.031 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
35.032 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
35.032 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
35.032 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
35.032 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
35.032 * [taylor]: Taking taylor expansion of 1.0 in n
35.032 * [backup-simplify]: Simplify 1.0 into 1.0
35.032 * [taylor]: Taking taylor expansion of (log PI) in n
35.032 * [taylor]: Taking taylor expansion of PI in n
35.032 * [backup-simplify]: Simplify PI into PI
35.032 * [backup-simplify]: Simplify (log PI) into (log PI)
35.034 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
35.036 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
35.037 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)
35.039 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)
35.042 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))
35.044 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))
35.046 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
35.046 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n
35.046 * [taylor]: Taking taylor expansion of (log PI) in n
35.046 * [taylor]: Taking taylor expansion of PI in n
35.046 * [backup-simplify]: Simplify PI into PI
35.046 * [backup-simplify]: Simplify (log PI) into (log PI)
35.046 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2)))) in n
35.046 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) in n
35.046 * [taylor]: Taking taylor expansion of 0.25 in n
35.046 * [backup-simplify]: Simplify 0.25 into 0.25
35.046 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0))) in n
35.046 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
35.046 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
35.046 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
35.046 * [taylor]: Taking taylor expansion of 0.5 in n
35.047 * [backup-simplify]: Simplify 0.5 into 0.5
35.047 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
35.047 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
35.047 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
35.047 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
35.047 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
35.047 * [taylor]: Taking taylor expansion of 1.0 in n
35.047 * [backup-simplify]: Simplify 1.0 into 1.0
35.047 * [taylor]: Taking taylor expansion of (log PI) in n
35.047 * [taylor]: Taking taylor expansion of PI in n
35.047 * [backup-simplify]: Simplify PI into PI
35.047 * [backup-simplify]: Simplify (log PI) into (log PI)
35.048 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
35.049 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
35.049 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
35.049 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
35.049 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
35.049 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
35.049 * [taylor]: Taking taylor expansion of 1.0 in n
35.049 * [backup-simplify]: Simplify 1.0 into 1.0
35.049 * [taylor]: Taking taylor expansion of (log n) in n
35.049 * [taylor]: Taking taylor expansion of n in n
35.049 * [backup-simplify]: Simplify 0 into 0
35.049 * [backup-simplify]: Simplify 1 into 1
35.049 * [backup-simplify]: Simplify (log 1) into 0
35.050 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
35.050 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
35.050 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
35.050 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
35.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
35.050 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
35.050 * [taylor]: Taking taylor expansion of 1.0 in n
35.050 * [backup-simplify]: Simplify 1.0 into 1.0
35.050 * [taylor]: Taking taylor expansion of (log 2.0) in n
35.050 * [taylor]: Taking taylor expansion of 2.0 in n
35.050 * [backup-simplify]: Simplify 2.0 into 2.0
35.051 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.051 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
35.052 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
35.053 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
35.054 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
35.056 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
35.058 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
35.059 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
35.060 * [taylor]: Taking taylor expansion of (* (log PI) (log 2.0)) in n
35.060 * [taylor]: Taking taylor expansion of (log PI) in n
35.060 * [taylor]: Taking taylor expansion of PI in n
35.060 * [backup-simplify]: Simplify PI into PI
35.060 * [backup-simplify]: Simplify (log PI) into (log PI)
35.060 * [taylor]: Taking taylor expansion of (log 2.0) in n
35.060 * [taylor]: Taking taylor expansion of 2.0 in n
35.060 * [backup-simplify]: Simplify 2.0 into 2.0
35.060 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.060 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))) in n
35.060 * [taylor]: Taking taylor expansion of 0.125 in n
35.060 * [backup-simplify]: Simplify 0.125 into 0.125
35.060 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2)) in n
35.061 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n
35.061 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n
35.061 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n
35.061 * [taylor]: Taking taylor expansion of 0.5 in n
35.061 * [backup-simplify]: Simplify 0.5 into 0.5
35.061 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n
35.061 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n
35.061 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n
35.061 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n
35.061 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n
35.061 * [taylor]: Taking taylor expansion of 1.0 in n
35.061 * [backup-simplify]: Simplify 1.0 into 1.0
35.061 * [taylor]: Taking taylor expansion of (log PI) in n
35.061 * [taylor]: Taking taylor expansion of PI in n
35.061 * [backup-simplify]: Simplify PI into PI
35.061 * [backup-simplify]: Simplify (log PI) into (log PI)
35.062 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI))
35.063 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0)
35.063 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n
35.063 * [taylor]: Taking taylor expansion of (pow n 1.0) in n
35.063 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n
35.063 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n
35.063 * [taylor]: Taking taylor expansion of 1.0 in n
35.063 * [backup-simplify]: Simplify 1.0 into 1.0
35.063 * [taylor]: Taking taylor expansion of (log n) in n
35.063 * [taylor]: Taking taylor expansion of n in n
35.063 * [backup-simplify]: Simplify 0 into 0
35.063 * [backup-simplify]: Simplify 1 into 1
35.064 * [backup-simplify]: Simplify (log 1) into 0
35.064 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
35.064 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n))
35.064 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0)
35.064 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n
35.064 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n
35.064 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n
35.064 * [taylor]: Taking taylor expansion of 1.0 in n
35.064 * [backup-simplify]: Simplify 1.0 into 1.0
35.064 * [taylor]: Taking taylor expansion of (log 2.0) in n
35.064 * [taylor]: Taking taylor expansion of 2.0 in n
35.064 * [backup-simplify]: Simplify 2.0 into 2.0
35.065 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.065 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0))
35.066 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0)
35.067 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)
35.073 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)
35.076 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))
35.079 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))
35.083 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)
35.083 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n
35.083 * [taylor]: Taking taylor expansion of (log 2.0) in n
35.083 * [taylor]: Taking taylor expansion of 2.0 in n
35.083 * [backup-simplify]: Simplify 2.0 into 2.0
35.084 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.085 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
35.086 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
35.086 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2)
35.091 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log n) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))
35.095 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))
35.096 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
35.097 * [backup-simplify]: Simplify (* (log PI) (log n)) into (* (log PI) (log n))
35.102 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (log PI) (log n))) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log n)))
35.107 * [backup-simplify]: Simplify (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log n)))) into (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log n))))
35.108 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n)
35.109 * [backup-simplify]: Simplify (* (log n) (log 2.0)) into (* (log n) (log 2.0))
35.114 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (log n) (log 2.0))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))
35.118 * [backup-simplify]: Simplify (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) into (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log 2.0))))
35.120 * [backup-simplify]: Simplify (* (log PI) (log PI)) into (pow (log PI) 2)
35.125 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log PI) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))
35.130 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))
35.132 * [backup-simplify]: Simplify (* (log PI) (log 2.0)) into (* (log PI) (log 2.0))
35.138 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (log PI) (log 2.0))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))
35.143 * [backup-simplify]: Simplify (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) into (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log 2.0))))
35.145 * [backup-simplify]: Simplify (* (log 2.0) (log 2.0)) into (pow (log 2.0) 2)
35.151 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log 2.0) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))
35.156 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))) into (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log 2.0) 2)))
35.167 * [backup-simplify]: Simplify (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log 2.0) 2)))) into (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))))
35.183 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))))) into (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log 2.0) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)))))
35.204 * [backup-simplify]: Simplify (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log 2.0)))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log 2.0) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)))))) into (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))))))
35.232 * [backup-simplify]: Simplify (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))))))) into (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log 2.0) 2))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log 2.0)))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)))))))
35.256 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log 2.0) 2))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log 2.0)))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)))))))) into (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))))))))
35.274 * [backup-simplify]: Simplify (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2)))))))) into (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log 2.0) 2))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))
35.313 * [backup-simplify]: Simplify (+ (* (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log 2.0) 2))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log 2.0)))))) (* 1 k)) (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log 2.0) (* (log PI) (pow k 2))))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log 2.0) (* (log n) (pow k 2))))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (* (log PI) (pow k 2))))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log PI) 2) (pow k 2)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log 2.0) 2) (pow k 2)))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2)))))))))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* k (log 2.0)))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) k))))))
35.314 * [backup-simplify]: Simplify (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (* (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))))
35.314 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0
35.314 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in n
35.314 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n
35.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n
35.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n
35.314 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
35.314 * [taylor]: Taking taylor expansion of 0.5 in n
35.314 * [backup-simplify]: Simplify 0.5 into 0.5
35.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
35.314 * [taylor]: Taking taylor expansion of 1.0 in n
35.314 * [backup-simplify]: Simplify 1.0 into 1.0
35.314 * [taylor]: Taking taylor expansion of (/ 1 k) in n
35.314 * [taylor]: Taking taylor expansion of k in n
35.314 * [backup-simplify]: Simplify k into k
35.314 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
35.314 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
35.314 * [taylor]: Taking taylor expansion of (/ 1 n) in n
35.314 * [taylor]: Taking taylor expansion of n in n
35.314 * [backup-simplify]: Simplify 0 into 0
35.314 * [backup-simplify]: Simplify 1 into 1
35.315 * [backup-simplify]: Simplify (/ 1 1) into 1
35.315 * [backup-simplify]: Simplify (log 1) into 0
35.315 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
35.315 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
35.315 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
35.316 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
35.316 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))
35.317 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))
35.317 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in n
35.317 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n
35.317 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n
35.317 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n
35.317 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
35.317 * [taylor]: Taking taylor expansion of 0.5 in n
35.317 * [backup-simplify]: Simplify 0.5 into 0.5
35.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
35.317 * [taylor]: Taking taylor expansion of 1.0 in n
35.317 * [backup-simplify]: Simplify 1.0 into 1.0
35.317 * [taylor]: Taking taylor expansion of (/ 1 k) in n
35.317 * [taylor]: Taking taylor expansion of k in n
35.317 * [backup-simplify]: Simplify k into k
35.317 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
35.317 * [taylor]: Taking taylor expansion of (log PI) in n
35.317 * [taylor]: Taking taylor expansion of PI in n
35.317 * [backup-simplify]: Simplify PI into PI
35.317 * [backup-simplify]: Simplify (log PI) into (log PI)
35.317 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
35.318 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
35.318 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
35.318 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) into (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))
35.319 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))
35.319 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n
35.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n
35.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n
35.319 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n
35.319 * [taylor]: Taking taylor expansion of 0.5 in n
35.319 * [backup-simplify]: Simplify 0.5 into 0.5
35.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
35.319 * [taylor]: Taking taylor expansion of 1.0 in n
35.319 * [backup-simplify]: Simplify 1.0 into 1.0
35.319 * [taylor]: Taking taylor expansion of (/ 1 k) in n
35.319 * [taylor]: Taking taylor expansion of k in n
35.319 * [backup-simplify]: Simplify k into k
35.319 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
35.319 * [taylor]: Taking taylor expansion of (log 2.0) in n
35.319 * [taylor]: Taking taylor expansion of 2.0 in n
35.319 * [backup-simplify]: Simplify 2.0 into 2.0
35.320 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.320 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
35.320 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
35.320 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k)))
35.321 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) into (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))
35.321 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))
35.321 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in k
35.321 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k
35.322 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k
35.322 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k
35.322 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
35.322 * [taylor]: Taking taylor expansion of 0.5 in k
35.322 * [backup-simplify]: Simplify 0.5 into 0.5
35.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
35.322 * [taylor]: Taking taylor expansion of 1.0 in k
35.322 * [backup-simplify]: Simplify 1.0 into 1.0
35.322 * [taylor]: Taking taylor expansion of (/ 1 k) in k
35.322 * [taylor]: Taking taylor expansion of k in k
35.322 * [backup-simplify]: Simplify 0 into 0
35.322 * [backup-simplify]: Simplify 1 into 1
35.322 * [backup-simplify]: Simplify (/ 1 1) into 1
35.322 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
35.322 * [taylor]: Taking taylor expansion of (/ 1 n) in k
35.322 * [taylor]: Taking taylor expansion of n in k
35.322 * [backup-simplify]: Simplify n into n
35.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
35.322 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
35.323 * [backup-simplify]: Simplify (- 1) into -1
35.323 * [backup-simplify]: Simplify (+ 0 -1) into -1
35.323 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
35.323 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n)))
35.324 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n)))))
35.324 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in k
35.324 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k
35.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k
35.324 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k
35.324 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
35.324 * [taylor]: Taking taylor expansion of 0.5 in k
35.324 * [backup-simplify]: Simplify 0.5 into 0.5
35.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
35.324 * [taylor]: Taking taylor expansion of 1.0 in k
35.324 * [backup-simplify]: Simplify 1.0 into 1.0
35.324 * [taylor]: Taking taylor expansion of (/ 1 k) in k
35.324 * [taylor]: Taking taylor expansion of k in k
35.324 * [backup-simplify]: Simplify 0 into 0
35.324 * [backup-simplify]: Simplify 1 into 1
35.324 * [backup-simplify]: Simplify (/ 1 1) into 1
35.324 * [taylor]: Taking taylor expansion of (log PI) in k
35.324 * [taylor]: Taking taylor expansion of PI in k
35.324 * [backup-simplify]: Simplify PI into PI
35.325 * [backup-simplify]: Simplify (log PI) into (log PI)
35.325 * [backup-simplify]: Simplify (- 1) into -1
35.325 * [backup-simplify]: Simplify (+ 0 -1) into -1
35.326 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
35.327 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI))
35.328 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))
35.328 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k
35.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k
35.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k
35.328 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
35.328 * [taylor]: Taking taylor expansion of 0.5 in k
35.328 * [backup-simplify]: Simplify 0.5 into 0.5
35.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
35.328 * [taylor]: Taking taylor expansion of 1.0 in k
35.328 * [backup-simplify]: Simplify 1.0 into 1.0
35.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k
35.328 * [taylor]: Taking taylor expansion of k in k
35.329 * [backup-simplify]: Simplify 0 into 0
35.329 * [backup-simplify]: Simplify 1 into 1
35.329 * [backup-simplify]: Simplify (/ 1 1) into 1
35.329 * [taylor]: Taking taylor expansion of (log 2.0) in k
35.329 * [taylor]: Taking taylor expansion of 2.0 in k
35.329 * [backup-simplify]: Simplify 2.0 into 2.0
35.330 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.330 * [backup-simplify]: Simplify (- 1) into -1
35.331 * [backup-simplify]: Simplify (+ 0 -1) into -1
35.331 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
35.332 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0))
35.333 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))
35.333 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in k
35.333 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k
35.334 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k
35.334 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k
35.334 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
35.334 * [taylor]: Taking taylor expansion of 0.5 in k
35.334 * [backup-simplify]: Simplify 0.5 into 0.5
35.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
35.334 * [taylor]: Taking taylor expansion of 1.0 in k
35.334 * [backup-simplify]: Simplify 1.0 into 1.0
35.334 * [taylor]: Taking taylor expansion of (/ 1 k) in k
35.334 * [taylor]: Taking taylor expansion of k in k
35.334 * [backup-simplify]: Simplify 0 into 0
35.334 * [backup-simplify]: Simplify 1 into 1
35.334 * [backup-simplify]: Simplify (/ 1 1) into 1
35.334 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k
35.334 * [taylor]: Taking taylor expansion of (/ 1 n) in k
35.334 * [taylor]: Taking taylor expansion of n in k
35.335 * [backup-simplify]: Simplify n into n
35.335 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n)
35.335 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n))
35.335 * [backup-simplify]: Simplify (- 1) into -1
35.336 * [backup-simplify]: Simplify (+ 0 -1) into -1
35.336 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
35.337 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n)))
35.338 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n)))))
35.338 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in k
35.338 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k
35.338 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k
35.338 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k
35.338 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
35.338 * [taylor]: Taking taylor expansion of 0.5 in k
35.338 * [backup-simplify]: Simplify 0.5 into 0.5
35.338 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
35.338 * [taylor]: Taking taylor expansion of 1.0 in k
35.338 * [backup-simplify]: Simplify 1.0 into 1.0
35.338 * [taylor]: Taking taylor expansion of (/ 1 k) in k
35.338 * [taylor]: Taking taylor expansion of k in k
35.338 * [backup-simplify]: Simplify 0 into 0
35.338 * [backup-simplify]: Simplify 1 into 1
35.339 * [backup-simplify]: Simplify (/ 1 1) into 1
35.339 * [taylor]: Taking taylor expansion of (log PI) in k
35.339 * [taylor]: Taking taylor expansion of PI in k
35.339 * [backup-simplify]: Simplify PI into PI
35.339 * [backup-simplify]: Simplify (log PI) into (log PI)
35.340 * [backup-simplify]: Simplify (- 1) into -1
35.340 * [backup-simplify]: Simplify (+ 0 -1) into -1
35.341 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
35.342 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI))
35.343 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))
35.343 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k
35.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k
35.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k
35.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k
35.343 * [taylor]: Taking taylor expansion of 0.5 in k
35.343 * [backup-simplify]: Simplify 0.5 into 0.5
35.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k
35.343 * [taylor]: Taking taylor expansion of 1.0 in k
35.343 * [backup-simplify]: Simplify 1.0 into 1.0
35.343 * [taylor]: Taking taylor expansion of (/ 1 k) in k
35.344 * [taylor]: Taking taylor expansion of k in k
35.344 * [backup-simplify]: Simplify 0 into 0
35.344 * [backup-simplify]: Simplify 1 into 1
35.344 * [backup-simplify]: Simplify (/ 1 1) into 1
35.344 * [taylor]: Taking taylor expansion of (log 2.0) in k
35.344 * [taylor]: Taking taylor expansion of 2.0 in k
35.344 * [backup-simplify]: Simplify 2.0 into 2.0
35.345 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.345 * [backup-simplify]: Simplify (- 1) into -1
35.346 * [backup-simplify]: Simplify (+ 0 -1) into -1
35.346 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5
35.347 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0))
35.348 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))
35.351 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))
35.354 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n)))))))
35.355 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))))) in n
35.355 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) in n
35.355 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))) in n
35.355 * [taylor]: Taking taylor expansion of 0.5 in n
35.355 * [backup-simplify]: Simplify 0.5 into 0.5
35.355 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log 2.0)) in n
35.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
35.355 * [taylor]: Taking taylor expansion of 1.0 in n
35.355 * [backup-simplify]: Simplify 1.0 into 1.0
35.355 * [taylor]: Taking taylor expansion of (/ 1 k) in n
35.355 * [taylor]: Taking taylor expansion of k in n
35.355 * [backup-simplify]: Simplify k into k
35.355 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
35.355 * [taylor]: Taking taylor expansion of (log 2.0) in n
35.355 * [taylor]: Taking taylor expansion of 2.0 in n
35.355 * [backup-simplify]: Simplify 2.0 into 2.0
35.356 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.356 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
35.357 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
35.357 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (log 2.0)) into (* (- 1.0 (/ 1 k)) (log 2.0))
35.358 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))) into (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))
35.359 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))
35.359 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n)))))) in n
35.359 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) in n
35.359 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) in n
35.359 * [taylor]: Taking taylor expansion of 0.5 in n
35.360 * [backup-simplify]: Simplify 0.5 into 0.5
35.360 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log PI)) in n
35.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
35.360 * [taylor]: Taking taylor expansion of 1.0 in n
35.360 * [backup-simplify]: Simplify 1.0 into 1.0
35.360 * [taylor]: Taking taylor expansion of (/ 1 k) in n
35.360 * [taylor]: Taking taylor expansion of k in n
35.360 * [backup-simplify]: Simplify k into k
35.360 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
35.360 * [taylor]: Taking taylor expansion of (log PI) in n
35.360 * [taylor]: Taking taylor expansion of PI in n
35.360 * [backup-simplify]: Simplify PI into PI
35.361 * [backup-simplify]: Simplify (log PI) into (log PI)
35.361 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
35.361 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
35.362 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (log PI)) into (* (- 1.0 (/ 1 k)) (log PI))
35.363 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) into (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))
35.364 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))
35.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) in n
35.364 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n)))) in n
35.364 * [taylor]: Taking taylor expansion of 0.5 in n
35.364 * [backup-simplify]: Simplify 0.5 into 0.5
35.364 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (/ 1 n))) in n
35.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n
35.364 * [taylor]: Taking taylor expansion of 1.0 in n
35.364 * [backup-simplify]: Simplify 1.0 into 1.0
35.364 * [taylor]: Taking taylor expansion of (/ 1 k) in n
35.364 * [taylor]: Taking taylor expansion of k in n
35.364 * [backup-simplify]: Simplify k into k
35.365 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
35.365 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n
35.365 * [taylor]: Taking taylor expansion of (/ 1 n) in n
35.365 * [taylor]: Taking taylor expansion of n in n
35.365 * [backup-simplify]: Simplify 0 into 0
35.365 * [backup-simplify]: Simplify 1 into 1
35.365 * [backup-simplify]: Simplify (/ 1 1) into 1
35.366 * [backup-simplify]: Simplify (log 1) into 0
35.366 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
35.366 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k))
35.367 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
35.367 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log n))) into (* -1 (* (- 1.0 (/ 1 k)) (log n)))
35.368 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (- 1.0 (/ 1 k)) (log n)))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))
35.369 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))
35.371 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))) into (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))
35.375 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) into (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))
35.378 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) into (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))
35.381 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) into 0
35.388 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 0) (* 0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) into 0
35.388 * [taylor]: Taking taylor expansion of 0 in n
35.388 * [backup-simplify]: Simplify 0 into 0
35.388 * [backup-simplify]: Simplify 0 into 0
35.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
35.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
35.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
35.391 * [backup-simplify]: Simplify (- 0) into 0
35.392 * [backup-simplify]: Simplify (+ 0 0) into 0
35.392 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
35.393 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log n)))) into 0
35.393 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (- 1.0 (/ 1 k)) (log n))))) into 0
35.395 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
35.396 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
35.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
35.396 * [backup-simplify]: Simplify (- 0) into 0
35.397 * [backup-simplify]: Simplify (+ 0 0) into 0
35.397 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (log PI))) into 0
35.398 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (log PI)))) into 0
35.400 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0
35.401 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (* 0 (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))))) into 0
35.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0
35.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
35.402 * [backup-simplify]: Simplify (- 0) into 0
35.403 * [backup-simplify]: Simplify (+ 0 0) into 0
35.403 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (log 2.0))) into 0
35.404 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (log 2.0)))) into 0
35.405 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
35.407 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 0) (* 0 (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) into 0
35.407 * [backup-simplify]: Simplify 0 into 0
35.409 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) into 0
35.411 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))))) into 0
35.411 * [taylor]: Taking taylor expansion of 0 in n
35.411 * [backup-simplify]: Simplify 0 into 0
35.411 * [backup-simplify]: Simplify 0 into 0
35.411 * [backup-simplify]: Simplify 0 into 0
35.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
35.413 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
35.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
35.414 * [backup-simplify]: Simplify (- 0) into 0
35.414 * [backup-simplify]: Simplify (+ 0 0) into 0
35.415 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
35.415 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
35.416 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (- 1.0 (/ 1 k)) (log n)))))) into 0
35.418 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
35.420 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
35.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
35.420 * [backup-simplify]: Simplify (- 0) into 0
35.420 * [backup-simplify]: Simplify (+ 0 0) into 0
35.421 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
35.422 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- 1.0 (/ 1 k)) (log PI))))) into 0
35.425 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
35.428 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n))))))) into 0
35.431 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0
35.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
35.432 * [backup-simplify]: Simplify (- 0) into 0
35.433 * [backup-simplify]: Simplify (+ 0 0) into 0
35.434 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0
35.436 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- 1.0 (/ 1 k)) (log 2.0))))) into 0
35.439 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
35.443 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 0) (+ (* 0 0) (* 0 (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))))) into 0
35.443 * [backup-simplify]: Simplify 0 into 0
35.447 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))))) into 0
35.451 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))))) into 0
35.451 * [taylor]: Taking taylor expansion of 0 in n
35.451 * [backup-simplify]: Simplify 0 into 0
35.452 * [backup-simplify]: Simplify 0 into 0
35.455 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) (* (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))))) into (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (* (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (log PI))))))
35.457 * [backup-simplify]: Simplify (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (* (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))))
35.457 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0
35.458 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))))) in n
35.458 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n
35.458 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n
35.458 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n
35.458 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
35.458 * [taylor]: Taking taylor expansion of 0.5 in n
35.458 * [backup-simplify]: Simplify 0.5 into 0.5
35.458 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
35.458 * [taylor]: Taking taylor expansion of (/ 1 k) in n
35.458 * [taylor]: Taking taylor expansion of k in n
35.458 * [backup-simplify]: Simplify k into k
35.458 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
35.458 * [taylor]: Taking taylor expansion of 1.0 in n
35.458 * [backup-simplify]: Simplify 1.0 into 1.0
35.458 * [taylor]: Taking taylor expansion of (log PI) in n
35.458 * [taylor]: Taking taylor expansion of PI in n
35.458 * [backup-simplify]: Simplify PI into PI
35.459 * [backup-simplify]: Simplify (log PI) into (log PI)
35.459 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
35.459 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
35.460 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) into (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))
35.461 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))
35.461 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) in n
35.461 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n
35.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n
35.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n
35.461 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
35.462 * [taylor]: Taking taylor expansion of 0.5 in n
35.462 * [backup-simplify]: Simplify 0.5 into 0.5
35.462 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
35.462 * [taylor]: Taking taylor expansion of (/ 1 k) in n
35.462 * [taylor]: Taking taylor expansion of k in n
35.462 * [backup-simplify]: Simplify k into k
35.462 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
35.462 * [taylor]: Taking taylor expansion of 1.0 in n
35.462 * [backup-simplify]: Simplify 1.0 into 1.0
35.462 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
35.462 * [taylor]: Taking taylor expansion of (/ -1 n) in n
35.462 * [taylor]: Taking taylor expansion of -1 in n
35.462 * [backup-simplify]: Simplify -1 into -1
35.462 * [taylor]: Taking taylor expansion of n in n
35.462 * [backup-simplify]: Simplify 0 into 0
35.462 * [backup-simplify]: Simplify 1 into 1
35.463 * [backup-simplify]: Simplify (/ -1 1) into -1
35.463 * [backup-simplify]: Simplify (log -1) into (log -1)
35.463 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
35.464 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
35.465 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
35.466 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))
35.468 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))
35.468 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n
35.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n
35.468 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n
35.468 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n
35.468 * [taylor]: Taking taylor expansion of 0.5 in n
35.468 * [backup-simplify]: Simplify 0.5 into 0.5
35.468 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
35.468 * [taylor]: Taking taylor expansion of (/ 1 k) in n
35.468 * [taylor]: Taking taylor expansion of k in n
35.468 * [backup-simplify]: Simplify k into k
35.468 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
35.468 * [taylor]: Taking taylor expansion of 1.0 in n
35.468 * [backup-simplify]: Simplify 1.0 into 1.0
35.468 * [taylor]: Taking taylor expansion of (log 2.0) in n
35.469 * [taylor]: Taking taylor expansion of 2.0 in n
35.469 * [backup-simplify]: Simplify 2.0 into 2.0
35.469 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.469 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
35.470 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0))
35.470 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) into (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))
35.472 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))
35.472 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))))) in k
35.472 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k
35.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k
35.472 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k
35.472 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
35.472 * [taylor]: Taking taylor expansion of 0.5 in k
35.472 * [backup-simplify]: Simplify 0.5 into 0.5
35.472 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
35.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k
35.472 * [taylor]: Taking taylor expansion of k in k
35.472 * [backup-simplify]: Simplify 0 into 0
35.472 * [backup-simplify]: Simplify 1 into 1
35.472 * [backup-simplify]: Simplify (/ 1 1) into 1
35.472 * [taylor]: Taking taylor expansion of 1.0 in k
35.473 * [backup-simplify]: Simplify 1.0 into 1.0
35.473 * [taylor]: Taking taylor expansion of (log PI) in k
35.473 * [taylor]: Taking taylor expansion of PI in k
35.473 * [backup-simplify]: Simplify PI into PI
35.473 * [backup-simplify]: Simplify (log PI) into (log PI)
35.474 * [backup-simplify]: Simplify (+ 1 0) into 1
35.474 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
35.476 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI))
35.477 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))
35.477 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) in k
35.477 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k
35.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k
35.477 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k
35.477 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
35.477 * [taylor]: Taking taylor expansion of 0.5 in k
35.477 * [backup-simplify]: Simplify 0.5 into 0.5
35.477 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
35.477 * [taylor]: Taking taylor expansion of (/ 1 k) in k
35.477 * [taylor]: Taking taylor expansion of k in k
35.477 * [backup-simplify]: Simplify 0 into 0
35.477 * [backup-simplify]: Simplify 1 into 1
35.478 * [backup-simplify]: Simplify (/ 1 1) into 1
35.478 * [taylor]: Taking taylor expansion of 1.0 in k
35.478 * [backup-simplify]: Simplify 1.0 into 1.0
35.478 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
35.478 * [taylor]: Taking taylor expansion of (/ -1 n) in k
35.478 * [taylor]: Taking taylor expansion of -1 in k
35.478 * [backup-simplify]: Simplify -1 into -1
35.478 * [taylor]: Taking taylor expansion of n in k
35.478 * [backup-simplify]: Simplify n into n
35.478 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
35.478 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
35.478 * [backup-simplify]: Simplify (+ 1 0) into 1
35.479 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
35.479 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n)))
35.479 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0))))
35.479 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k
35.479 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k
35.479 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k
35.479 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
35.479 * [taylor]: Taking taylor expansion of 0.5 in k
35.479 * [backup-simplify]: Simplify 0.5 into 0.5
35.479 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
35.479 * [taylor]: Taking taylor expansion of (/ 1 k) in k
35.479 * [taylor]: Taking taylor expansion of k in k
35.479 * [backup-simplify]: Simplify 0 into 0
35.479 * [backup-simplify]: Simplify 1 into 1
35.480 * [backup-simplify]: Simplify (/ 1 1) into 1
35.480 * [taylor]: Taking taylor expansion of 1.0 in k
35.480 * [backup-simplify]: Simplify 1.0 into 1.0
35.480 * [taylor]: Taking taylor expansion of (log 2.0) in k
35.480 * [taylor]: Taking taylor expansion of 2.0 in k
35.480 * [backup-simplify]: Simplify 2.0 into 2.0
35.480 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.480 * [backup-simplify]: Simplify (+ 1 0) into 1
35.481 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
35.481 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0))
35.482 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))
35.482 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))))) in k
35.482 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k
35.482 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k
35.482 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k
35.482 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
35.482 * [taylor]: Taking taylor expansion of 0.5 in k
35.482 * [backup-simplify]: Simplify 0.5 into 0.5
35.482 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
35.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k
35.482 * [taylor]: Taking taylor expansion of k in k
35.482 * [backup-simplify]: Simplify 0 into 0
35.482 * [backup-simplify]: Simplify 1 into 1
35.483 * [backup-simplify]: Simplify (/ 1 1) into 1
35.483 * [taylor]: Taking taylor expansion of 1.0 in k
35.483 * [backup-simplify]: Simplify 1.0 into 1.0
35.483 * [taylor]: Taking taylor expansion of (log PI) in k
35.483 * [taylor]: Taking taylor expansion of PI in k
35.483 * [backup-simplify]: Simplify PI into PI
35.483 * [backup-simplify]: Simplify (log PI) into (log PI)
35.483 * [backup-simplify]: Simplify (+ 1 0) into 1
35.484 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
35.484 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI))
35.485 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))
35.485 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) in k
35.485 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k
35.485 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k
35.485 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k
35.485 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
35.485 * [taylor]: Taking taylor expansion of 0.5 in k
35.485 * [backup-simplify]: Simplify 0.5 into 0.5
35.485 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
35.485 * [taylor]: Taking taylor expansion of (/ 1 k) in k
35.485 * [taylor]: Taking taylor expansion of k in k
35.485 * [backup-simplify]: Simplify 0 into 0
35.485 * [backup-simplify]: Simplify 1 into 1
35.485 * [backup-simplify]: Simplify (/ 1 1) into 1
35.485 * [taylor]: Taking taylor expansion of 1.0 in k
35.485 * [backup-simplify]: Simplify 1.0 into 1.0
35.485 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k
35.486 * [taylor]: Taking taylor expansion of (/ -1 n) in k
35.486 * [taylor]: Taking taylor expansion of -1 in k
35.486 * [backup-simplify]: Simplify -1 into -1
35.486 * [taylor]: Taking taylor expansion of n in k
35.486 * [backup-simplify]: Simplify n into n
35.486 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n)
35.486 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n))
35.486 * [backup-simplify]: Simplify (+ 1 0) into 1
35.486 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
35.487 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n)))
35.487 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0))))
35.487 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k
35.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k
35.487 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k
35.487 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k
35.487 * [taylor]: Taking taylor expansion of 0.5 in k
35.487 * [backup-simplify]: Simplify 0.5 into 0.5
35.487 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k
35.487 * [taylor]: Taking taylor expansion of (/ 1 k) in k
35.487 * [taylor]: Taking taylor expansion of k in k
35.487 * [backup-simplify]: Simplify 0 into 0
35.487 * [backup-simplify]: Simplify 1 into 1
35.487 * [backup-simplify]: Simplify (/ 1 1) into 1
35.487 * [taylor]: Taking taylor expansion of 1.0 in k
35.488 * [backup-simplify]: Simplify 1.0 into 1.0
35.488 * [taylor]: Taking taylor expansion of (log 2.0) in k
35.488 * [taylor]: Taking taylor expansion of 2.0 in k
35.488 * [backup-simplify]: Simplify 2.0 into 2.0
35.488 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.488 * [backup-simplify]: Simplify (+ 1 0) into 1
35.488 * [backup-simplify]: Simplify (* 0.5 1) into 0.5
35.489 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0))
35.490 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))
35.491 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))
35.493 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))
35.493 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n
35.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) in n
35.493 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))) in n
35.493 * [taylor]: Taking taylor expansion of 0.5 in n
35.493 * [backup-simplify]: Simplify 0.5 into 0.5
35.493 * [taylor]: Taking taylor expansion of (* (log PI) (+ (/ 1 k) 1.0)) in n
35.493 * [taylor]: Taking taylor expansion of (log PI) in n
35.493 * [taylor]: Taking taylor expansion of PI in n
35.493 * [backup-simplify]: Simplify PI into PI
35.493 * [backup-simplify]: Simplify (log PI) into (log PI)
35.493 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
35.493 * [taylor]: Taking taylor expansion of (/ 1 k) in n
35.493 * [taylor]: Taking taylor expansion of k in n
35.493 * [backup-simplify]: Simplify k into k
35.493 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
35.493 * [taylor]: Taking taylor expansion of 1.0 in n
35.493 * [backup-simplify]: Simplify 1.0 into 1.0
35.494 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
35.494 * [backup-simplify]: Simplify (* (log PI) (+ (/ 1 k) 1.0)) into (* (log PI) (+ (/ 1 k) 1.0))
35.495 * [backup-simplify]: Simplify (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))
35.495 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))
35.495 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n
35.495 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) in n
35.495 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0))) in n
35.495 * [taylor]: Taking taylor expansion of 0.5 in n
35.495 * [backup-simplify]: Simplify 0.5 into 0.5
35.495 * [taylor]: Taking taylor expansion of (* (log (/ -1 n)) (+ (/ 1 k) 1.0)) in n
35.495 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n
35.495 * [taylor]: Taking taylor expansion of (/ -1 n) in n
35.495 * [taylor]: Taking taylor expansion of -1 in n
35.495 * [backup-simplify]: Simplify -1 into -1
35.495 * [taylor]: Taking taylor expansion of n in n
35.495 * [backup-simplify]: Simplify 0 into 0
35.495 * [backup-simplify]: Simplify 1 into 1
35.496 * [backup-simplify]: Simplify (/ -1 1) into -1
35.496 * [backup-simplify]: Simplify (log -1) into (log -1)
35.496 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
35.496 * [taylor]: Taking taylor expansion of (/ 1 k) in n
35.496 * [taylor]: Taking taylor expansion of k in n
35.496 * [backup-simplify]: Simplify k into k
35.496 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
35.496 * [taylor]: Taking taylor expansion of 1.0 in n
35.496 * [backup-simplify]: Simplify 1.0 into 1.0
35.497 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
35.497 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
35.498 * [backup-simplify]: Simplify (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))
35.498 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))
35.499 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))
35.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n
35.499 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n
35.499 * [taylor]: Taking taylor expansion of 0.5 in n
35.499 * [backup-simplify]: Simplify 0.5 into 0.5
35.500 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n
35.500 * [taylor]: Taking taylor expansion of (log 2.0) in n
35.500 * [taylor]: Taking taylor expansion of 2.0 in n
35.500 * [backup-simplify]: Simplify 2.0 into 2.0
35.500 * [backup-simplify]: Simplify (log 2.0) into (log 2.0)
35.500 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n
35.500 * [taylor]: Taking taylor expansion of (/ 1 k) in n
35.500 * [taylor]: Taking taylor expansion of k in n
35.500 * [backup-simplify]: Simplify k into k
35.500 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
35.500 * [taylor]: Taking taylor expansion of 1.0 in n
35.500 * [backup-simplify]: Simplify 1.0 into 1.0
35.500 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0)
35.501 * [backup-simplify]: Simplify (* (log 2.0) (+ (/ 1 k) 1.0)) into (* (+ (/ 1 k) 1.0) (log 2.0))
35.501 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))) into (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))
35.502 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))))
35.503 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))
35.506 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))
35.508 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))
35.509 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into 0
35.511 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 0) (* 0 (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into 0
35.511 * [taylor]: Taking taylor expansion of 0 in n
35.511 * [backup-simplify]: Simplify 0 into 0
35.511 * [backup-simplify]: Simplify 0 into 0
35.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
35.511 * [backup-simplify]: Simplify (+ 0 0) into 0
35.512 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0
35.516 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (* 0 (+ (/ 1 k) 1.0))) into 0
35.517 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (log 2.0)))) into 0
35.519 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
35.519 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
35.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
35.520 * [backup-simplify]: Simplify (+ 0 0) into 0
35.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
35.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
35.523 * [backup-simplify]: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0
35.524 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0
35.527 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
35.530 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))))) into 0
35.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
35.530 * [backup-simplify]: Simplify (+ 0 0) into 0
35.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
35.533 * [backup-simplify]: Simplify (+ (* (log PI) 0) (* 0 (+ (/ 1 k) 1.0))) into 0
35.535 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log PI) (+ (/ 1 k) 1.0)))) into 0
35.537 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
35.539 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0
35.540 * [backup-simplify]: Simplify 0 into 0
35.541 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into 0
35.543 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into 0
35.543 * [taylor]: Taking taylor expansion of 0 in n
35.543 * [backup-simplify]: Simplify 0 into 0
35.543 * [backup-simplify]: Simplify 0 into 0
35.543 * [backup-simplify]: Simplify 0 into 0
35.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
35.544 * [backup-simplify]: Simplify (+ 0 0) into 0
35.546 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0
35.546 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
35.547 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (/ 1 k) 1.0) (log 2.0))))) into 0
35.549 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
35.550 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
35.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
35.550 * [backup-simplify]: Simplify (+ 0 0) into 0
35.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
35.552 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
35.553 * [backup-simplify]: Simplify (+ (* (- (log -1) (log n)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
35.555 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0
35.556 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
35.558 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))))))) into 0
35.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
35.559 * [backup-simplify]: Simplify (+ 0 0) into 0
35.562 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
35.564 * [backup-simplify]: Simplify (+ (* (log PI) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0
35.566 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log PI) (+ (/ 1 k) 1.0))))) into 0
35.568 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
35.573 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) into 0
35.573 * [backup-simplify]: Simplify 0 into 0
35.577 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into 0
35.582 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into 0
35.582 * [taylor]: Taking taylor expansion of 0 in n
35.582 * [backup-simplify]: Simplify 0 into 0
35.582 * [backup-simplify]: Simplify 0 into 0
35.586 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log 2.0)))) (* (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) into (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (* (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))))
35.587 * * * [progress]: simplifying candidates
35.587 * * * * [progress]: [ 1 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (posit16->real (real->posit16 (pow n (/ (- 1.0 k) 2.0))))))))>
35.587 * * * * [progress]: [ 2 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (log1p (expm1 (pow n (/ (- 1.0 k) 2.0))))))))>
35.587 * * * * [progress]: [ 3 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (expm1 (log1p (pow n (/ (- 1.0 k) 2.0))))))))>
35.587 * * * * [progress]: [ 4 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (exp (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.587 * * * * [progress]: [ 5 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (exp (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.587 * * * * [progress]: [ 6 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (* 1 (/ (- 1.0 k) 2.0)))))))>
35.587 * * * * [progress]: [ 7 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))))))>
35.587 * * * * [progress]: [ 8 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (cbrt (/ (- 1.0 k) 2.0)))))))>
35.587 * * * * [progress]: [ 9 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (sqrt (/ (- 1.0 k) 2.0))) (sqrt (/ (- 1.0 k) 2.0)))))))>
35.587 * * * * [progress]: [ 10 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))))))>
35.587 * * * * [progress]: [ 11 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (/ (cbrt (- 1.0 k)) (sqrt 2.0)))))))>
35.588 * * * * [progress]: [ 12 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (/ (cbrt (- 1.0 k)) 2.0))))))>
35.588 * * * * [progress]: [ 13 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (- 1.0 k)) (cbrt 2.0)))))))>
35.588 * * * * [progress]: [ 14 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (/ (sqrt (- 1.0 k)) (sqrt 2.0)))))))>
35.588 * * * * [progress]: [ 15 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ (sqrt (- 1.0 k)) 1)) (/ (sqrt (- 1.0 k)) 2.0))))))>
35.588 * * * * [progress]: [ 16 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (/ (- 1.0 k) (cbrt 2.0)))))))>
35.588 * * * * [progress]: [ 17 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ 1 (sqrt 2.0))) (/ (- 1.0 k) (sqrt 2.0)))))))>
35.588 * * * * [progress]: [ 18 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ 1 1)) (/ (- 1.0 k) 2.0))))))>
35.588 * * * * [progress]: [ 19 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (/ (- (sqrt 1.0) (sqrt k)) (cbrt 2.0)))))))>
35.588 * * * * [progress]: [ 20 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (/ (- (sqrt 1.0) (sqrt k)) (sqrt 2.0)))))))>
35.588 * * * * [progress]: [ 21 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))))))>
35.588 * * * * [progress]: [ 22 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (/ (- 1.0 k) (cbrt 2.0)))))))>
35.588 * * * * [progress]: [ 23 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ 1 (sqrt 2.0))) (/ (- 1.0 k) (sqrt 2.0)))))))>
35.589 * * * * [progress]: [ 24 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ 1 1)) (/ (- 1.0 k) 2.0))))))>
35.589 * * * * [progress]: [ 25 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n 1) (/ (- 1.0 k) 2.0))))))>
35.589 * * * * [progress]: [ 26 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (- 1.0 k)) (/ 1 2.0))))))>
35.589 * * * * [progress]: [ 27 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)))))))>
35.589 * * * * [progress]: [ 28 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))))))>
35.589 * * * * [progress]: [ 29 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (* (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
35.589 * * * * [progress]: [ 30 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (pow n (/ (- 1.0 k) 2.0)) 1)))))>
35.589 * * * * [progress]: [ 31 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (exp (log (pow n (/ (- 1.0 k) 2.0))))))))>
35.589 * * * * [progress]: [ 32 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (log (exp (pow n (/ (- 1.0 k) 2.0))))))))>
35.589 * * * * [progress]: [ 33 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (* (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))))))))>
35.589 * * * * [progress]: [ 34 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (cbrt (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))))>
35.589 * * * * [progress]: [ 35 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (* (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))))))))>
35.590 * * * * [progress]: [ 36 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (* 1 (pow n (/ (- 1.0 k) 2.0)))))))>
35.590 * * * * [progress]: [ 37 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)))))))>
35.590 * * * * [progress]: [ 38 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (posit16->real (real->posit16 (pow PI (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0))))))>
35.590 * * * * [progress]: [ 39 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (log1p (expm1 (pow PI (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0))))))>
35.590 * * * * [progress]: [ 40 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (expm1 (log1p (pow PI (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0))))))>
35.590 * * * * [progress]: [ 41 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (exp (* (log PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.590 * * * * [progress]: [ 42 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (exp (* (log PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.590 * * * * [progress]: [ 43 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (* 1 (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.590 * * * * [progress]: [ 44 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (/ (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.590 * * * * [progress]: [ 45 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (cbrt (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.590 * * * * [progress]: [ 46 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (sqrt (/ (- 1.0 k) 2.0))) (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.590 * * * * [progress]: [ 47 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (- 1.0 k)) (cbrt 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.590 * * * * [progress]: [ 48 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (/ (cbrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.590 * * * * [progress]: [ 49 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (/ (cbrt (- 1.0 k)) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.591 * * * * [progress]: [ 50 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (- 1.0 k)) (cbrt 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.591 * * * * [progress]: [ 51 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.591 * * * * [progress]: [ 52 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ (sqrt (- 1.0 k)) 1)) (/ (sqrt (- 1.0 k)) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.591 * * * * [progress]: [ 53 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (/ (- 1.0 k) (cbrt 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.591 * * * * [progress]: [ 54 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ 1 (sqrt 2.0))) (/ (- 1.0 k) (sqrt 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.591 * * * * [progress]: [ 55 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ 1 1)) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.591 * * * * [progress]: [ 56 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (/ (- (sqrt 1.0) (sqrt k)) (cbrt 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.591 * * * * [progress]: [ 57 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (/ (- (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.591 * * * * [progress]: [ 58 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.591 * * * * [progress]: [ 59 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (/ (- 1.0 k) (cbrt 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.591 * * * * [progress]: [ 60 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ 1 (sqrt 2.0))) (/ (- 1.0 k) (sqrt 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.591 * * * * [progress]: [ 61 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ 1 1)) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.592 * * * * [progress]: [ 62 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI 1) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.592 * * * * [progress]: [ 63 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (- 1.0 k)) (/ 1 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.592 * * * * [progress]: [ 64 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (* (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.592 * * * * [progress]: [ 65 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (* (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.592 * * * * [progress]: [ 66 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (* (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.592 * * * * [progress]: [ 67 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow (pow PI (/ (- 1.0 k) 2.0)) 1) (pow n (/ (- 1.0 k) 2.0))))))>
35.592 * * * * [progress]: [ 68 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (exp (log (pow PI (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0))))))>
35.592 * * * * [progress]: [ 69 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (log (exp (pow PI (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0))))))>
35.592 * * * * [progress]: [ 70 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (* (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0))))))>
35.592 * * * * [progress]: [ 71 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0))))))>
35.592 * * * * [progress]: [ 72 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (pow n (/ (- 1.0 k) 2.0))))))>
35.592 * * * * [progress]: [ 73 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (* 1 (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 74 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 75 / 187 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1.0 (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 76 / 187 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (/ 1.0 (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 77 / 187 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (/ 1.0 (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 78 / 187 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1.0 (sqrt k)) 1) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 79 / 187 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log 1.0) (log (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 80 / 187 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1.0 (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 81 / 187 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1.0 (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 82 / 187 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 83 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 84 / 187 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 85 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 86 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1.0) (- (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.593 * * * * [progress]: [ 87 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.594 * * * * [progress]: [ 88 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.594 * * * * [progress]: [ 89 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.594 * * * * [progress]: [ 90 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.594 * * * * [progress]: [ 91 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.594 * * * * [progress]: [ 92 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.594 * * * * [progress]: [ 93 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.594 * * * * [progress]: [ 94 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.594 * * * * [progress]: [ 95 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.594 * * * * [progress]: [ 96 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.594 * * * * [progress]: [ 97 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.594 * * * * [progress]: [ 98 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.594 * * * * [progress]: [ 99 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.595 * * * * [progress]: [ 100 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.595 * * * * [progress]: [ 101 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.595 * * * * [progress]: [ 102 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.595 * * * * [progress]: [ 103 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.595 * * * * [progress]: [ 104 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.595 * * * * [progress]: [ 105 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.595 * * * * [progress]: [ 106 / 187 ] simplifiying candidate #<alt (λ (k n) (* (* 1.0 (/ 1 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.595 * * * * [progress]: [ 107 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1.0)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.595 * * * * [progress]: [ 108 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.595 * * * * [progress]: [ 109 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.595 * * * * [progress]: [ 110 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.595 * * * * [progress]: [ 111 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt 1)) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.595 * * * * [progress]: [ 112 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.596 * * * * [progress]: [ 113 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1.0 1) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.596 * * * * [progress]: [ 114 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.596 * * * * [progress]: [ 115 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1.0) (/ (sqrt k) (sqrt 1.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.596 * * * * [progress]: [ 116 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1.0)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.596 * * * * [progress]: [ 117 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (posit16->real (real->posit16 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))))>
35.596 * * * * [progress]: [ 118 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (log1p (expm1 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))))>
35.596 * * * * [progress]: [ 119 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (expm1 (log1p (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))))>
35.596 * * * * [progress]: [ 120 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))))>
35.596 * * * * [progress]: [ 121 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (pow (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 1)))>
35.596 * * * * [progress]: [ 122 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.596 * * * * [progress]: [ 123 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.596 * * * * [progress]: [ 124 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))))))>
35.596 * * * * [progress]: [ 125 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.597 * * * * [progress]: [ 126 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.597 * * * * [progress]: [ 127 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))))))>
35.597 * * * * [progress]: [ 128 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.597 * * * * [progress]: [ 129 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.597 * * * * [progress]: [ 130 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))))))>
35.597 * * * * [progress]: [ 131 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))))>
35.597 * * * * [progress]: [ 132 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.597 * * * * [progress]: [ 133 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.597 * * * * [progress]: [ 134 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))))))>
35.597 * * * * [progress]: [ 135 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.597 * * * * [progress]: [ 136 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.597 * * * * [progress]: [ 137 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))))))>
35.597 * * * * [progress]: [ 138 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.598 * * * * [progress]: [ 139 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.598 * * * * [progress]: [ 140 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))))))>
35.598 * * * * [progress]: [ 141 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))))>
35.598 * * * * [progress]: [ 142 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.598 * * * * [progress]: [ 143 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.598 * * * * [progress]: [ 144 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))))))>
35.598 * * * * [progress]: [ 145 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.598 * * * * [progress]: [ 146 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.598 * * * * [progress]: [ 147 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))))))>
35.598 * * * * [progress]: [ 148 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.598 * * * * [progress]: [ 149 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))))))>
35.598 * * * * [progress]: [ 150 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))))))>
35.598 * * * * [progress]: [ 151 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))))>
35.599 * * * * [progress]: [ 152 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (exp (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))))>
35.599 * * * * [progress]: [ 153 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (log (exp (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))))>
35.599 * * * * [progress]: [ 154 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (cbrt (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))))>
35.599 * * * * [progress]: [ 155 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (cbrt (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))))>
35.599 * * * * [progress]: [ 156 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))))>
35.599 * * * * [progress]: [ 157 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (cbrt (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))))>
35.599 * * * * [progress]: [ 158 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))))>
35.599 * * * * [progress]: [ 159 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (/ (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ k 2.0)) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0)))))))>
35.599 * * * * [progress]: [ 160 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (/ (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))))))>
35.599 * * * * [progress]: [ 161 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (/ (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))))))>
35.599 * * * * [progress]: [ 162 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* 1 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
35.599 * * * * [progress]: [ 163 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))>
35.600 * * * * [progress]: [ 164 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (* (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
35.600 * * * * [progress]: [ 165 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
35.600 * * * * [progress]: [ 166 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 1 (/ (- 1.0 k) 2.0)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
35.600 * * * * [progress]: [ 167 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))) (cbrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
35.600 * * * * [progress]: [ 168 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
35.600 * * * * [progress]: [ 169 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* 1 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
35.600 * * * * [progress]: [ 170 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))))>
35.600 * * * * [progress]: [ 171 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))))))>
35.600 * * * * [progress]: [ 172 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (pow n (/ k 2.0)))))>
35.600 * * * * [progress]: [ 173 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow PI (/ k 2.0)))))>
35.600 * * * * [progress]: [ 174 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (/ (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow 2.0 (/ k 2.0)))))>
35.600 * * * * [progress]: [ 175 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0)))))>
35.601 * * * * [progress]: [ 176 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (- (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k))))))))>
35.601 * * * * [progress]: [ 177 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))))))>
35.601 * * * * [progress]: [ 178 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k))))))))>
35.601 * * * * [progress]: [ 179 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (- (+ (pow PI 0.5) (* 0.125 (* (* (pow (log PI) 2) (pow k 2)) (pow (pow PI 1.0) 0.5)))) (* 0.5 (* (* (log PI) k) (pow (pow PI 1.0) 0.5)))) (pow n (/ (- 1.0 k) 2.0))))))>
35.601 * * * * [progress]: [ 180 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (pow n (/ (- 1.0 k) 2.0))))))>
35.601 * * * * [progress]: [ 181 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (pow n (/ (- 1.0 k) 2.0))))))>
35.601 * * * * [progress]: [ 182 / 187 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.601 * * * * [progress]: [ 183 / 187 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.601 * * * * [progress]: [ 184 / 187 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))>
35.601 * * * * [progress]: [ 185 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (- (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log 2.0) (* (log PI) (pow k 2))))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log 2.0) (* (log n) (pow k 2))))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (* (log PI) (pow k 2))))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log PI) 2) (pow k 2)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log 2.0) 2) (pow k 2)))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2)))))))))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* k (log 2.0)))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) k))))))))>
35.601 * * * * [progress]: [ 186 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (* (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (log PI))))))))>
35.602 * * * * [progress]: [ 187 / 187 ] simplifiying candidate #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (* (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))))))>
35.605 * [simplify]: Simplifying:
  (real->posit16 (pow n (/ (- 1.0 k) 2.0)))
  (expm1 (pow n (/ (- 1.0 k) 2.0)))
  (log1p (pow n (/ (- 1.0 k) 2.0)))
  (* (log n) (/ (- 1.0 k) 2.0))
  (* (log n) (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (pow n (/ 1.0 2.0))
  (pow n (/ k 2.0))
  (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow n (sqrt (/ (- 1.0 k) 2.0)))
  (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1))
  (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow n (/ (sqrt (- 1.0 k)) 1))
  (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ 1 (sqrt 2.0)))
  (pow n (/ 1 1))
  (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1))
  (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ 1 (sqrt 2.0)))
  (pow n (/ 1 1))
  (pow n 1)
  (pow n (- 1.0 k))
  (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))
  (pow (cbrt n) (/ (- 1.0 k) 2.0))
  (pow (sqrt n) (/ (- 1.0 k) 2.0))
  (pow (sqrt n) (/ (- 1.0 k) 2.0))
  (pow 1 (/ (- 1.0 k) 2.0))
  (pow n (/ (- 1.0 k) 2.0))
  (log (pow n (/ (- 1.0 k) 2.0)))
  (exp (pow n (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))
  (cbrt (pow n (/ (- 1.0 k) 2.0)))
  (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
  (sqrt (pow n (/ (- 1.0 k) 2.0)))
  (sqrt (pow n (/ (- 1.0 k) 2.0)))
  (pow n (/ (/ (- 1.0 k) 2.0) 2))
  (pow n (/ (/ (- 1.0 k) 2.0) 2))
  (real->posit16 (pow PI (/ (- 1.0 k) 2.0)))
  (expm1 (pow PI (/ (- 1.0 k) 2.0)))
  (log1p (pow PI (/ (- 1.0 k) 2.0)))
  (* (log PI) (/ (- 1.0 k) 2.0))
  (* (log PI) (/ (- 1.0 k) 2.0))
  (* 1 (/ (- 1.0 k) 2.0))
  (pow PI (/ 1.0 2.0))
  (pow PI (/ k 2.0))
  (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow PI (sqrt (/ (- 1.0 k) 2.0)))
  (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))))
  (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1))
  (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow PI (/ (sqrt (- 1.0 k)) 1))
  (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow PI (/ 1 (sqrt 2.0)))
  (pow PI (/ 1 1))
  (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)))
  (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1))
  (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow PI (/ 1 (sqrt 2.0)))
  (pow PI (/ 1 1))
  (pow PI 1)
  (pow PI (- 1.0 k))
  (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0))
  (pow (cbrt PI) (/ (- 1.0 k) 2.0))
  (pow (sqrt PI) (/ (- 1.0 k) 2.0))
  (pow (sqrt PI) (/ (- 1.0 k) 2.0))
  (pow 1 (/ (- 1.0 k) 2.0))
  (pow PI (/ (- 1.0 k) 2.0))
  (log (pow PI (/ (- 1.0 k) 2.0)))
  (exp (pow PI (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0))))
  (cbrt (pow PI (/ (- 1.0 k) 2.0)))
  (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0)))
  (sqrt (pow PI (/ (- 1.0 k) 2.0)))
  (sqrt (pow PI (/ (- 1.0 k) 2.0)))
  (pow PI (/ (/ (- 1.0 k) 2.0) 2))
  (pow PI (/ (/ (- 1.0 k) 2.0) 2))
  (real->posit16 (/ 1.0 (sqrt k)))
  (expm1 (/ 1.0 (sqrt k)))
  (log1p (/ 1.0 (sqrt k)))
  (- (log 1.0) (log (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (exp (/ 1.0 (sqrt k)))
  (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))
  (cbrt (/ 1.0 (sqrt k)))
  (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (- 1.0)
  (- (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1.0) (cbrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1.0) (sqrt (cbrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))
  (/ (cbrt 1.0) (sqrt k))
  (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (/ (* (cbrt 1.0) (cbrt 1.0)) 1)
  (/ (cbrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1.0) (cbrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1.0) (sqrt (cbrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt 1))
  (/ (sqrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) 1)
  (/ (sqrt 1.0) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1.0 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1.0)
  (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1.0 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 (sqrt 1))
  (/ 1.0 (sqrt (sqrt k)))
  (/ 1.0 1)
  (/ (sqrt k) (cbrt 1.0))
  (/ (sqrt k) (sqrt 1.0))
  (/ (sqrt k) 1.0)
  (real->posit16 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (expm1 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (log1p (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (* 2.0 (* PI n))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))))
  (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))))
  (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))))
  (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))))
  (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))))
  (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (exp (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))))
  (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (* (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))
  (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))
  (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0))))
  (* (pow 2.0 (/ k 2.0)) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))))
  (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))))
  (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0)))
  (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))
  (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))
  (* (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (* (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0))))
  (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))))
  (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
  (- (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k))))
  (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))
  (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k))))
  (- (+ (pow PI 0.5) (* 0.125 (* (* (pow (log PI) 2) (pow k 2)) (pow (pow PI 1.0) 0.5)))) (* 0.5 (* (* (log PI) k) (pow (pow PI 1.0) 0.5))))
  (exp (* 0.5 (* (- 1.0 k) (log PI))))
  (exp (* 0.5 (* (- 1.0 k) (log PI))))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (- (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log 2.0) (* (log PI) (pow k 2))))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log 2.0) (* (log n) (pow k 2))))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (* (log PI) (pow k 2))))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log PI) 2) (pow k 2)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log 2.0) 2) (pow k 2)))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2)))))))))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* k (log 2.0)))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) k))))))
  (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (* (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (log PI))))))
  (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (* (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))))
35.618 * * [simplify]: iteration 0: 371 enodes
36.027 * * [simplify]: iteration 1: 1007 enodes
37.175 * * [simplify]: iteration 2: 3249 enodes
40.269 * * [simplify]: iteration complete: 5000 enodes
40.269 * * [simplify]: Extracting #0: cost 143 inf + 0
40.270 * * [simplify]: Extracting #1: cost 684 inf + 4
40.275 * * [simplify]: Extracting #2: cost 1245 inf + 5096
40.291 * * [simplify]: Extracting #3: cost 1207 inf + 65971
40.319 * * [simplify]: Extracting #4: cost 753 inf + 232212
40.429 * * [simplify]: Extracting #5: cost 223 inf + 604601
40.605 * * [simplify]: Extracting #6: cost 68 inf + 732246
40.723 * * [simplify]: Extracting #7: cost 61 inf + 741035
40.851 * * [simplify]: Extracting #8: cost 68 inf + 741283
41.006 * * [simplify]: Extracting #9: cost 75 inf + 741531
41.149 * * [simplify]: Extracting #10: cost 78 inf + 742703
41.283 * * [simplify]: Extracting #11: cost 77 inf + 746645
41.417 * * [simplify]: Extracting #12: cost 63 inf + 763202
41.586 * * [simplify]: Extracting #13: cost 46 inf + 786429
41.749 * * [simplify]: Extracting #14: cost 41 inf + 796163
41.927 * * [simplify]: Extracting #15: cost 21 inf + 858537
42.174 * * [simplify]: Extracting #16: cost 0 inf + 929036
42.386 * * [simplify]: Extracting #17: cost 0 inf + 928605
42.636 * [simplify]: Simplified to:
  (real->posit16 (pow n (/ (- 1.0 k) 2.0)))
  (expm1 (pow n (/ (- 1.0 k) 2.0)))
  (log1p (pow n (/ (- 1.0 k) 2.0)))
  (* (log n) (/ (- 1.0 k) 2.0))
  (* (log n) (/ (- 1.0 k) 2.0))
  (/ (- 1.0 k) 2.0)
  (pow n (/ 1.0 2.0))
  (pow n (/ k 2.0))
  (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow n (sqrt (/ (- 1.0 k) 2.0)))
  (pow n (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))))
  (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))))
  (pow n (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0)))
  (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow n (sqrt (- 1.0 k)))
  (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ 1 (sqrt 2.0)))
  n
  (pow n (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0)))
  (pow n (+ (sqrt k) (sqrt 1.0)))
  (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow n (/ 1 (sqrt 2.0)))
  n
  n
  (pow n (- 1.0 k))
  (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))
  (pow (cbrt n) (/ (- 1.0 k) 2.0))
  (pow (sqrt n) (/ (- 1.0 k) 2.0))
  (pow (sqrt n) (/ (- 1.0 k) 2.0))
  1
  (pow n (/ (- 1.0 k) 2.0))
  (* (log n) (/ (- 1.0 k) 2.0))
  (exp (pow n (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))
  (cbrt (pow n (/ (- 1.0 k) 2.0)))
  (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
  (sqrt (pow n (/ (- 1.0 k) 2.0)))
  (sqrt (pow n (/ (- 1.0 k) 2.0)))
  (pow n (/ (/ (- 1.0 k) 2) 2.0))
  (pow n (/ (/ (- 1.0 k) 2) 2.0))
  (real->posit16 (pow PI (/ (- 1.0 k) 2.0)))
  (expm1 (pow PI (/ (- 1.0 k) 2.0)))
  (log1p (pow PI (/ (- 1.0 k) 2.0)))
  (/ (log PI) (/ 2.0 (- 1.0 k)))
  (/ (log PI) (/ 2.0 (- 1.0 k)))
  (/ (- 1.0 k) 2.0)
  (pow PI (/ 1.0 2.0))
  (pow PI (/ k 2.0))
  (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))))
  (pow PI (sqrt (/ (- 1.0 k) 2.0)))
  (pow PI (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))))
  (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)))
  (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))))
  (pow PI (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0)))
  (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0)))
  (pow PI (sqrt (- 1.0 k)))
  (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow PI (/ 1 (sqrt 2.0)))
  PI
  (pow PI (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2.0) (cbrt 2.0))))
  (pow PI (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0)))
  (pow PI (+ (sqrt k) (sqrt 1.0)))
  (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0))))
  (pow PI (/ 1 (sqrt 2.0)))
  PI
  PI
  (pow PI (- 1.0 k))
  (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0))
  (pow (cbrt PI) (/ (- 1.0 k) 2.0))
  (pow (sqrt PI) (/ (- 1.0 k) 2.0))
  (pow (sqrt PI) (/ (- 1.0 k) 2.0))
  1
  (pow PI (/ (- 1.0 k) 2.0))
  (/ (log PI) (/ 2.0 (- 1.0 k)))
  (exp (pow PI (/ (- 1.0 k) 2.0)))
  (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0))))
  (cbrt (pow PI (/ (- 1.0 k) 2.0)))
  (* (pow PI (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))
  (sqrt (pow PI (/ (- 1.0 k) 2.0)))
  (sqrt (pow PI (/ (- 1.0 k) 2.0)))
  (pow PI (/ (/ (- 1.0 k) 2) 2.0))
  (pow PI (/ (/ (- 1.0 k) 2) 2.0))
  (real->posit16 (/ 1.0 (sqrt k)))
  (expm1 (/ 1.0 (sqrt k)))
  (log1p (/ 1.0 (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (log (/ 1.0 (sqrt k)))
  (exp (/ 1.0 (sqrt k)))
  (* (/ 1.0 (sqrt k)) (/ (* 1.0 1.0) k))
  (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))
  (cbrt (/ 1.0 (sqrt k)))
  (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (sqrt (/ 1.0 (sqrt k)))
  (- 1.0)
  (- (sqrt k))
  (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k))))
  (/ (cbrt 1.0) (cbrt (sqrt k)))
  (* (/ (cbrt 1.0) (fabs (cbrt k))) (cbrt 1.0))
  (/ (cbrt 1.0) (sqrt (cbrt k)))
  (* (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt 1.0))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (sqrt k))
  (* (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt 1.0))
  (/ (cbrt 1.0) (sqrt (sqrt k)))
  (* (cbrt 1.0) (cbrt 1.0))
  (/ (cbrt 1.0) (sqrt k))
  (/ (/ (sqrt 1.0) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (sqrt 1.0) (cbrt (sqrt k)))
  (/ (sqrt 1.0) (fabs (cbrt k)))
  (/ (sqrt 1.0) (sqrt (cbrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (sqrt 1.0)
  (/ (sqrt 1.0) (sqrt k))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (/ (sqrt 1.0) (sqrt (sqrt k)))
  (sqrt 1.0)
  (/ (sqrt 1.0) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1.0 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1.0 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1
  (/ 1.0 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1.0)
  (/ (/ 1.0 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1.0 (fabs (cbrt k)))
  (/ 1.0 (sqrt (sqrt k)))
  1.0
  (/ 1.0 (sqrt (sqrt k)))
  1.0
  (/ (sqrt k) (cbrt 1.0))
  (/ (sqrt k) (sqrt 1.0))
  (/ (sqrt k) 1.0)
  (real->posit16 (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))))
  (expm1 (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))))
  (log1p (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))))
  (* 2.0 (* n PI))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log n) (log PI))))
  (exp (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))))
  (* (* (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))))) (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))))
  (* (* (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))))) (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))))
  (* (cbrt (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))))) (cbrt (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))))))
  (cbrt (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))))
  (* (* (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))))) (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))))
  (sqrt (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))))
  (sqrt (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))))
  (* (* (pow 2.0 (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (pow PI (/ 1.0 2.0)))
  (* (* (pow PI (/ k 2.0)) (pow 2.0 (/ k 2.0))) (pow n (/ k 2.0)))
  (* (* (pow n (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow 2.0 (/ 1.0 2.0)))
  (* (pow n (/ k 2.0)) (pow 2.0 (/ k 2.0)))
  (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0)))
  (* (pow PI (/ k 2.0)) (pow 2.0 (/ k 2.0)))
  (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)))
  (* (pow n (/ (- 1.0 k) 2.0)) (* (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))
  (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
  (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))))
  (* (* (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0)))
  (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))))
  (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))))
  (* (pow n (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (/ (- 1.0 k) 2) 2.0))))
  (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0))))
  (* (pow PI (/ (- 1.0 k) 2.0)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))))
  (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0)))
  (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0)))
  (- (fma (* (pow (pow n 1.0) 0.5) 0.125) (* (* (log n) k) (* (log n) k)) (pow n 0.5)) (* (* 0.5 (* (log n) k)) (pow (pow n 1.0) 0.5)))
  (exp (- (* (* -0.5 (- 1.0 k)) (log n))))
  (exp (* (+ 0 (log n)) (* 0.5 (- 1.0 k))))
  (fma (pow (pow PI 1.0) 0.5) (- (* (* 0.125 (* k k)) (* (log PI) (log PI))) (* (* 0.5 k) (log PI))) (pow PI 0.5))
  (exp (* (* 0.5 (- 1.0 k)) (log PI)))
  (exp (* (* 0.5 (- 1.0 k)) (log PI)))
  (fma (- +nan.0) (* k k) (- +nan.0 (* +nan.0 k)))
  (+ (/ (- +nan.0) (* k k)) (- (/ +nan.0 k) (/ +nan.0 (* (* k k) k))))
  (- (- (fma (/ +nan.0 k) (/ 1 k) +nan.0) (/ +nan.0 k)))
  (fma (* (* (* k k) (log PI)) (log 2.0)) (* (pow (* (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) 0.25) (- (fma (* (pow (* (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) 0.25) (fma (log 2.0) (* (log n) (* k k)) (* (* (* k k) (log PI)) (log n))) (fma (* 0.125 (pow (* (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) (fma (* (log PI) (log PI)) (* k k) (* (log 2.0) (* (log 2.0) (* k k)))) (fma 0.125 (* (* (* (log n) k) (* (log n) k)) (pow (* (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) (pow (pow (pow (pow (pow (pow (pow (* (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (* 0.5 (fma (pow (* (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (fma k (log n) (* (log PI) k)) (* (* (pow (* (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (log 2.0)) k)))))
  (exp (fma (* (- 1.0 k) (log 2.0)) 0.5 (fma (* 0.5 (log PI)) (- 1.0 k) (- (* (* -0.5 (- 1.0 k)) (log n))))))
  (exp (fma (* 0.5 (- 1.0 k)) (log 2.0) (fma (* 0.5 (- 1.0 k)) (+ 0 (log n)) (* (* 0.5 (- 1.0 k)) (log PI)))))
42.653 * * * [progress]: adding candidates to table
44.599 * [progress]: [Phase 3 of 3] Extracting.
44.599 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (- (fma (* (pow (pow n 1.0) 0.5) 0.125) (* (* (log n) k) (* (log n) k)) (pow n 0.5)) (* (* 0.5 (* (log n) k)) (pow (pow n 1.0) 0.5)))))))> #<alt (λ (k n) (* (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (exp (* (log PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>)
44.627 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k)
44.627 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (#<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (- (fma (* (pow (pow n 1.0) 0.5) 0.125) (* (* (log n) k) (* (log n) k)) (pow n 0.5)) (* (* 0.5 (* (log n) k)) (pow (pow n 1.0) 0.5)))))))> #<alt (λ (k n) (* (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (exp (* (log PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>)
44.853 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (#<alt (λ (k n) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))> #<alt (λ (k n) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))>)
44.999 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (#<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (- (fma (* (pow (pow n 1.0) 0.5) 0.125) (* (* (log n) k) (* (log n) k)) (pow n 0.5)) (* (* 0.5 (* (log n) k)) (pow (pow n 1.0) 0.5)))))))> #<alt (λ (k n) (* (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (exp (* (log PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>)
45.196 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (- (fma (* (pow (pow n 1.0) 0.5) 0.125) (* (* (log n) k) (* (log n) k)) (pow n 0.5)) (* (* 0.5 (* (log n) k)) (pow (pow n 1.0) 0.5)))))))> #<alt (λ (k n) (* (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (exp (* (log PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>)
45.401 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (- (fma (* (pow (pow n 1.0) 0.5) 0.125) (* (* (log n) k) (* (log n) k)) (pow n 0.5)) (* (* 0.5 (* (log n) k)) (pow (pow n 1.0) 0.5)))))))> #<alt (λ (k n) (* (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))> #<alt (λ (k n) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (exp (* (log PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))> #<alt (λ (k n) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))> #<alt (λ (k n) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))>)
45.639 * * * [regime]: Found split indices: #<option (#s(si 7 255))>
45.639 * [simplify]: Simplifying:
  (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))
45.640 * * [simplify]: iteration 0: 14 enodes
45.642 * * [simplify]: iteration 1: 17 enodes
45.645 * * [simplify]: iteration complete: 17 enodes
45.645 * * [simplify]: Extracting #0: cost 1 inf + 0
45.645 * * [simplify]: Extracting #1: cost 3 inf + 0
45.645 * * [simplify]: Extracting #2: cost 7 inf + 0
45.645 * * [simplify]: Extracting #3: cost 10 inf + 1
45.645 * * [simplify]: Extracting #4: cost 9 inf + 126
45.645 * * [simplify]: Extracting #5: cost 6 inf + 170
45.645 * * [simplify]: Extracting #6: cost 2 inf + 923
45.645 * * [simplify]: Extracting #7: cost 0 inf + 2213
45.646 * [simplify]: Simplified to:
  (* (* (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k)))
55.079 * [regime-testing]: Baseline error score: 0.5750694067388642
55.102 * [regime-testing]: Oracle error score: 0.025765062820983637
55.156 * [regime-testing]: End program error score: 0.5750694067388642