0.002 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.230 * * * [progress]: [2/2] Setting up program.
0.234 * [progress]: [Phase 2 of 3] Improving.
0.234 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.235 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.235 * * [simplify]: iteration 1: (13 enodes)
0.242 * * [simplify]: iteration 2: (57 enodes)
0.254 * * [simplify]: iteration 3: (96 enodes)
0.273 * * [simplify]: iteration 4: (174 enodes)
0.354 * * [simplify]: iteration 5: (354 enodes)
0.544 * * [simplify]: iteration 6: (812 enodes)
1.293 * * [simplify]: Extracting #0: cost 1 inf + 0
1.293 * * [simplify]: Extracting #1: cost 59 inf + 0
1.295 * * [simplify]: Extracting #2: cost 223 inf + 1
1.298 * * [simplify]: Extracting #3: cost 295 inf + 210
1.301 * * [simplify]: Extracting #4: cost 270 inf + 8826
1.322 * * [simplify]: Extracting #5: cost 112 inf + 91732
1.376 * * [simplify]: Extracting #6: cost 3 inf + 174781
1.421 * * [simplify]: Extracting #7: cost 0 inf + 175756
1.459 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
1.459 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1.459 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
1.466 * * [progress]: iteration 1 / 4
1.466 * * * [progress]: picking best candidate
1.471 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))>
1.471 * * * [progress]: localizing error
1.493 * * * [progress]: generating rewritten candidates
1.493 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1.513 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1.527 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1.544 * * * [progress]: generating series expansions
1.544 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1.545 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
1.545 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
1.545 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1.545 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1.545 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1.545 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1.545 * [taylor]: Taking taylor expansion of 1/2 in k
1.545 * [backup-simplify]: Simplify 1/2 into 1/2
1.546 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.546 * [taylor]: Taking taylor expansion of 1 in k
1.546 * [backup-simplify]: Simplify 1 into 1
1.546 * [taylor]: Taking taylor expansion of k in k
1.546 * [backup-simplify]: Simplify 0 into 0
1.546 * [backup-simplify]: Simplify 1 into 1
1.546 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.546 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.546 * [taylor]: Taking taylor expansion of 2 in k
1.546 * [backup-simplify]: Simplify 2 into 2
1.546 * [taylor]: Taking taylor expansion of (* n PI) in k
1.546 * [taylor]: Taking taylor expansion of n in k
1.546 * [backup-simplify]: Simplify n into n
1.546 * [taylor]: Taking taylor expansion of PI in k
1.546 * [backup-simplify]: Simplify PI into PI
1.546 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.546 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.546 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.547 * [backup-simplify]: Simplify (- 0) into 0
1.547 * [backup-simplify]: Simplify (+ 1 0) into 1
1.548 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.548 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.548 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.548 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.548 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.548 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.548 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.548 * [taylor]: Taking taylor expansion of 1/2 in n
1.548 * [backup-simplify]: Simplify 1/2 into 1/2
1.548 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.548 * [taylor]: Taking taylor expansion of 1 in n
1.548 * [backup-simplify]: Simplify 1 into 1
1.548 * [taylor]: Taking taylor expansion of k in n
1.548 * [backup-simplify]: Simplify k into k
1.548 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.548 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.548 * [taylor]: Taking taylor expansion of 2 in n
1.548 * [backup-simplify]: Simplify 2 into 2
1.548 * [taylor]: Taking taylor expansion of (* n PI) in n
1.548 * [taylor]: Taking taylor expansion of n in n
1.548 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify 1 into 1
1.548 * [taylor]: Taking taylor expansion of PI in n
1.548 * [backup-simplify]: Simplify PI into PI
1.549 * [backup-simplify]: Simplify (* 0 PI) into 0
1.549 * [backup-simplify]: Simplify (* 2 0) into 0
1.551 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.552 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.553 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.554 * [backup-simplify]: Simplify (- k) into (- k)
1.554 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.554 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.555 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.556 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.557 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.557 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.557 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.557 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.558 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.558 * [taylor]: Taking taylor expansion of 1/2 in n
1.558 * [backup-simplify]: Simplify 1/2 into 1/2
1.558 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.558 * [taylor]: Taking taylor expansion of 1 in n
1.558 * [backup-simplify]: Simplify 1 into 1
1.558 * [taylor]: Taking taylor expansion of k in n
1.558 * [backup-simplify]: Simplify k into k
1.558 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.558 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.558 * [taylor]: Taking taylor expansion of 2 in n
1.558 * [backup-simplify]: Simplify 2 into 2
1.558 * [taylor]: Taking taylor expansion of (* n PI) in n
1.558 * [taylor]: Taking taylor expansion of n in n
1.558 * [backup-simplify]: Simplify 0 into 0
1.558 * [backup-simplify]: Simplify 1 into 1
1.558 * [taylor]: Taking taylor expansion of PI in n
1.558 * [backup-simplify]: Simplify PI into PI
1.558 * [backup-simplify]: Simplify (* 0 PI) into 0
1.559 * [backup-simplify]: Simplify (* 2 0) into 0
1.560 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.562 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.563 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.563 * [backup-simplify]: Simplify (- k) into (- k)
1.563 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.563 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.565 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.566 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.567 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.567 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1.567 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1.567 * [taylor]: Taking taylor expansion of 1/2 in k
1.567 * [backup-simplify]: Simplify 1/2 into 1/2
1.567 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1.567 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.567 * [taylor]: Taking taylor expansion of 1 in k
1.567 * [backup-simplify]: Simplify 1 into 1
1.567 * [taylor]: Taking taylor expansion of k in k
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify 1 into 1
1.567 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1.567 * [taylor]: Taking taylor expansion of (log n) in k
1.567 * [taylor]: Taking taylor expansion of n in k
1.567 * [backup-simplify]: Simplify n into n
1.567 * [backup-simplify]: Simplify (log n) into (log n)
1.567 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.567 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.567 * [taylor]: Taking taylor expansion of 2 in k
1.567 * [backup-simplify]: Simplify 2 into 2
1.567 * [taylor]: Taking taylor expansion of PI in k
1.568 * [backup-simplify]: Simplify PI into PI
1.568 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.569 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.569 * [backup-simplify]: Simplify (- 0) into 0
1.570 * [backup-simplify]: Simplify (+ 1 0) into 1
1.571 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.572 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1.573 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1.574 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.575 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.577 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.579 * [backup-simplify]: Simplify (- 0) into 0
1.580 * [backup-simplify]: Simplify (+ 0 0) into 0
1.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1.582 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.583 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1.585 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.585 * [taylor]: Taking taylor expansion of 0 in k
1.585 * [backup-simplify]: Simplify 0 into 0
1.585 * [backup-simplify]: Simplify 0 into 0
1.586 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1.587 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.589 * [backup-simplify]: Simplify (+ 0 0) into 0
1.589 * [backup-simplify]: Simplify (- 1) into -1
1.590 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.591 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1.592 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1.594 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.596 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.597 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.599 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.599 * [backup-simplify]: Simplify (- 0) into 0
1.599 * [backup-simplify]: Simplify (+ 0 0) into 0
1.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1.601 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.602 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.603 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.603 * [taylor]: Taking taylor expansion of 0 in k
1.603 * [backup-simplify]: Simplify 0 into 0
1.603 * [backup-simplify]: Simplify 0 into 0
1.603 * [backup-simplify]: Simplify 0 into 0
1.604 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1.605 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.607 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.607 * [backup-simplify]: Simplify (+ 0 0) into 0
1.607 * [backup-simplify]: Simplify (- 0) into 0
1.608 * [backup-simplify]: Simplify (+ 0 0) into 0
1.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.615 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1.618 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1.624 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
1.625 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
1.625 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1.625 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1.625 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1.625 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1.625 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1.625 * [taylor]: Taking taylor expansion of 1/2 in k
1.625 * [backup-simplify]: Simplify 1/2 into 1/2
1.625 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.625 * [taylor]: Taking taylor expansion of 1 in k
1.625 * [backup-simplify]: Simplify 1 into 1
1.625 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.625 * [taylor]: Taking taylor expansion of k in k
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify 1 into 1
1.626 * [backup-simplify]: Simplify (/ 1 1) into 1
1.626 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1.626 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1.626 * [taylor]: Taking taylor expansion of 2 in k
1.626 * [backup-simplify]: Simplify 2 into 2
1.626 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.626 * [taylor]: Taking taylor expansion of PI in k
1.626 * [backup-simplify]: Simplify PI into PI
1.626 * [taylor]: Taking taylor expansion of n in k
1.626 * [backup-simplify]: Simplify n into n
1.626 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.626 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1.626 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1.627 * [backup-simplify]: Simplify (- 1) into -1
1.627 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.628 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1.628 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1.629 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1.629 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.629 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.629 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.629 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.629 * [taylor]: Taking taylor expansion of 1/2 in n
1.629 * [backup-simplify]: Simplify 1/2 into 1/2
1.629 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.629 * [taylor]: Taking taylor expansion of 1 in n
1.629 * [backup-simplify]: Simplify 1 into 1
1.629 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.629 * [taylor]: Taking taylor expansion of k in n
1.629 * [backup-simplify]: Simplify k into k
1.629 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.629 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.629 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.629 * [taylor]: Taking taylor expansion of 2 in n
1.629 * [backup-simplify]: Simplify 2 into 2
1.629 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.630 * [taylor]: Taking taylor expansion of PI in n
1.630 * [backup-simplify]: Simplify PI into PI
1.630 * [taylor]: Taking taylor expansion of n in n
1.630 * [backup-simplify]: Simplify 0 into 0
1.630 * [backup-simplify]: Simplify 1 into 1
1.630 * [backup-simplify]: Simplify (/ PI 1) into PI
1.631 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.632 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.632 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.632 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.632 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.634 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.635 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.636 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.636 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.636 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.636 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.636 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.636 * [taylor]: Taking taylor expansion of 1/2 in n
1.636 * [backup-simplify]: Simplify 1/2 into 1/2
1.636 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.636 * [taylor]: Taking taylor expansion of 1 in n
1.636 * [backup-simplify]: Simplify 1 into 1
1.636 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.636 * [taylor]: Taking taylor expansion of k in n
1.636 * [backup-simplify]: Simplify k into k
1.636 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.636 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.637 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.637 * [taylor]: Taking taylor expansion of 2 in n
1.637 * [backup-simplify]: Simplify 2 into 2
1.637 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.637 * [taylor]: Taking taylor expansion of PI in n
1.637 * [backup-simplify]: Simplify PI into PI
1.637 * [taylor]: Taking taylor expansion of n in n
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify 1 into 1
1.637 * [backup-simplify]: Simplify (/ PI 1) into PI
1.638 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.638 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.638 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.639 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.639 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.640 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.641 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.642 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.642 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1.642 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1.642 * [taylor]: Taking taylor expansion of 1/2 in k
1.642 * [backup-simplify]: Simplify 1/2 into 1/2
1.642 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1.642 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.642 * [taylor]: Taking taylor expansion of 1 in k
1.642 * [backup-simplify]: Simplify 1 into 1
1.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.643 * [taylor]: Taking taylor expansion of k in k
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [backup-simplify]: Simplify (/ 1 1) into 1
1.643 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1.643 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.643 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.643 * [taylor]: Taking taylor expansion of 2 in k
1.643 * [backup-simplify]: Simplify 2 into 2
1.643 * [taylor]: Taking taylor expansion of PI in k
1.643 * [backup-simplify]: Simplify PI into PI
1.644 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.644 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.644 * [taylor]: Taking taylor expansion of (log n) in k
1.644 * [taylor]: Taking taylor expansion of n in k
1.645 * [backup-simplify]: Simplify n into n
1.645 * [backup-simplify]: Simplify (log n) into (log n)
1.645 * [backup-simplify]: Simplify (- 1) into -1
1.646 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.646 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.647 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1.648 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1.649 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1.650 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.651 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.653 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.655 * [backup-simplify]: Simplify (- 0) into 0
1.656 * [backup-simplify]: Simplify (+ 0 0) into 0
1.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1.657 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.658 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1.660 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.660 * [taylor]: Taking taylor expansion of 0 in k
1.660 * [backup-simplify]: Simplify 0 into 0
1.660 * [backup-simplify]: Simplify 0 into 0
1.660 * [backup-simplify]: Simplify 0 into 0
1.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.662 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.665 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.666 * [backup-simplify]: Simplify (- 0) into 0
1.666 * [backup-simplify]: Simplify (+ 0 0) into 0
1.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1.668 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.669 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1.672 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.672 * [taylor]: Taking taylor expansion of 0 in k
1.672 * [backup-simplify]: Simplify 0 into 0
1.672 * [backup-simplify]: Simplify 0 into 0
1.672 * [backup-simplify]: Simplify 0 into 0
1.672 * [backup-simplify]: Simplify 0 into 0
1.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.679 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.680 * [backup-simplify]: Simplify (- 0) into 0
1.680 * [backup-simplify]: Simplify (+ 0 0) into 0
1.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1.683 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.684 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1.687 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.687 * [taylor]: Taking taylor expansion of 0 in k
1.687 * [backup-simplify]: Simplify 0 into 0
1.687 * [backup-simplify]: Simplify 0 into 0
1.689 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1.689 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
1.689 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1.689 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1.689 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1.689 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1.689 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1.689 * [taylor]: Taking taylor expansion of 1/2 in k
1.689 * [backup-simplify]: Simplify 1/2 into 1/2
1.689 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.690 * [taylor]: Taking taylor expansion of k in k
1.690 * [backup-simplify]: Simplify 0 into 0
1.690 * [backup-simplify]: Simplify 1 into 1
1.690 * [backup-simplify]: Simplify (/ 1 1) into 1
1.690 * [taylor]: Taking taylor expansion of 1 in k
1.690 * [backup-simplify]: Simplify 1 into 1
1.690 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1.690 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1.690 * [taylor]: Taking taylor expansion of -2 in k
1.690 * [backup-simplify]: Simplify -2 into -2
1.690 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.690 * [taylor]: Taking taylor expansion of PI in k
1.690 * [backup-simplify]: Simplify PI into PI
1.690 * [taylor]: Taking taylor expansion of n in k
1.690 * [backup-simplify]: Simplify n into n
1.690 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.690 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1.691 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1.691 * [backup-simplify]: Simplify (+ 1 0) into 1
1.691 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.692 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1.692 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1.692 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.692 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.692 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.692 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.692 * [taylor]: Taking taylor expansion of 1/2 in n
1.692 * [backup-simplify]: Simplify 1/2 into 1/2
1.692 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.692 * [taylor]: Taking taylor expansion of k in n
1.692 * [backup-simplify]: Simplify k into k
1.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.692 * [taylor]: Taking taylor expansion of 1 in n
1.692 * [backup-simplify]: Simplify 1 into 1
1.692 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.692 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.692 * [taylor]: Taking taylor expansion of -2 in n
1.692 * [backup-simplify]: Simplify -2 into -2
1.692 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.692 * [taylor]: Taking taylor expansion of PI in n
1.692 * [backup-simplify]: Simplify PI into PI
1.692 * [taylor]: Taking taylor expansion of n in n
1.692 * [backup-simplify]: Simplify 0 into 0
1.692 * [backup-simplify]: Simplify 1 into 1
1.693 * [backup-simplify]: Simplify (/ PI 1) into PI
1.693 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.694 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.694 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.694 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.696 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.697 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1.698 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1.698 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.698 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.698 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.698 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.698 * [taylor]: Taking taylor expansion of 1/2 in n
1.698 * [backup-simplify]: Simplify 1/2 into 1/2
1.698 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.698 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.698 * [taylor]: Taking taylor expansion of k in n
1.698 * [backup-simplify]: Simplify k into k
1.698 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.698 * [taylor]: Taking taylor expansion of 1 in n
1.698 * [backup-simplify]: Simplify 1 into 1
1.698 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.698 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.698 * [taylor]: Taking taylor expansion of -2 in n
1.698 * [backup-simplify]: Simplify -2 into -2
1.698 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.698 * [taylor]: Taking taylor expansion of PI in n
1.698 * [backup-simplify]: Simplify PI into PI
1.698 * [taylor]: Taking taylor expansion of n in n
1.698 * [backup-simplify]: Simplify 0 into 0
1.698 * [backup-simplify]: Simplify 1 into 1
1.699 * [backup-simplify]: Simplify (/ PI 1) into PI
1.699 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.700 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.700 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.701 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.702 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.703 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1.704 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1.704 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1.704 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1.704 * [taylor]: Taking taylor expansion of 1/2 in k
1.704 * [backup-simplify]: Simplify 1/2 into 1/2
1.704 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1.704 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.704 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.704 * [taylor]: Taking taylor expansion of k in k
1.704 * [backup-simplify]: Simplify 0 into 0
1.704 * [backup-simplify]: Simplify 1 into 1
1.705 * [backup-simplify]: Simplify (/ 1 1) into 1
1.705 * [taylor]: Taking taylor expansion of 1 in k
1.705 * [backup-simplify]: Simplify 1 into 1
1.705 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1.705 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1.705 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1.705 * [taylor]: Taking taylor expansion of -2 in k
1.705 * [backup-simplify]: Simplify -2 into -2
1.705 * [taylor]: Taking taylor expansion of PI in k
1.705 * [backup-simplify]: Simplify PI into PI
1.706 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.707 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.707 * [taylor]: Taking taylor expansion of (log n) in k
1.707 * [taylor]: Taking taylor expansion of n in k
1.707 * [backup-simplify]: Simplify n into n
1.707 * [backup-simplify]: Simplify (log n) into (log n)
1.707 * [backup-simplify]: Simplify (+ 1 0) into 1
1.707 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.708 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1.709 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1.710 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1.711 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1.712 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.714 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.716 * [backup-simplify]: Simplify (+ 0 0) into 0
1.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1.717 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.719 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1.720 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.720 * [taylor]: Taking taylor expansion of 0 in k
1.720 * [backup-simplify]: Simplify 0 into 0
1.720 * [backup-simplify]: Simplify 0 into 0
1.720 * [backup-simplify]: Simplify 0 into 0
1.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.722 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1.726 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.726 * [backup-simplify]: Simplify (+ 0 0) into 0
1.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.730 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1.733 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.733 * [taylor]: Taking taylor expansion of 0 in k
1.733 * [backup-simplify]: Simplify 0 into 0
1.733 * [backup-simplify]: Simplify 0 into 0
1.733 * [backup-simplify]: Simplify 0 into 0
1.733 * [backup-simplify]: Simplify 0 into 0
1.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.735 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.741 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
1.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.742 * [backup-simplify]: Simplify (+ 0 0) into 0
1.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1.744 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.749 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1.752 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.752 * [taylor]: Taking taylor expansion of 0 in k
1.752 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify 0 into 0
1.753 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1.753 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1.754 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
1.754 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1.754 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.754 * [taylor]: Taking taylor expansion of 2 in n
1.754 * [backup-simplify]: Simplify 2 into 2
1.754 * [taylor]: Taking taylor expansion of (* n PI) in n
1.754 * [taylor]: Taking taylor expansion of n in n
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 1 into 1
1.754 * [taylor]: Taking taylor expansion of PI in n
1.754 * [backup-simplify]: Simplify PI into PI
1.754 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.754 * [taylor]: Taking taylor expansion of 2 in n
1.754 * [backup-simplify]: Simplify 2 into 2
1.754 * [taylor]: Taking taylor expansion of (* n PI) in n
1.754 * [taylor]: Taking taylor expansion of n in n
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 1 into 1
1.754 * [taylor]: Taking taylor expansion of PI in n
1.754 * [backup-simplify]: Simplify PI into PI
1.755 * [backup-simplify]: Simplify (* 0 PI) into 0
1.755 * [backup-simplify]: Simplify (* 2 0) into 0
1.755 * [backup-simplify]: Simplify 0 into 0
1.756 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.757 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.757 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.759 * [backup-simplify]: Simplify 0 into 0
1.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.760 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.760 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1.761 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1.761 * [backup-simplify]: Simplify 0 into 0
1.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1.763 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1.763 * [backup-simplify]: Simplify 0 into 0
1.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1.765 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1.765 * [backup-simplify]: Simplify 0 into 0
1.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1.767 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1.767 * [backup-simplify]: Simplify 0 into 0
1.767 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1.768 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
1.768 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1.768 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.768 * [taylor]: Taking taylor expansion of 2 in n
1.768 * [backup-simplify]: Simplify 2 into 2
1.768 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.768 * [taylor]: Taking taylor expansion of PI in n
1.768 * [backup-simplify]: Simplify PI into PI
1.768 * [taylor]: Taking taylor expansion of n in n
1.768 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify 1 into 1
1.768 * [backup-simplify]: Simplify (/ PI 1) into PI
1.768 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.768 * [taylor]: Taking taylor expansion of 2 in n
1.769 * [backup-simplify]: Simplify 2 into 2
1.769 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.769 * [taylor]: Taking taylor expansion of PI in n
1.769 * [backup-simplify]: Simplify PI into PI
1.769 * [taylor]: Taking taylor expansion of n in n
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [backup-simplify]: Simplify 1 into 1
1.769 * [backup-simplify]: Simplify (/ PI 1) into PI
1.769 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.769 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.771 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.771 * [backup-simplify]: Simplify 0 into 0
1.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.772 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.773 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.773 * [backup-simplify]: Simplify 0 into 0
1.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.774 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1.774 * [backup-simplify]: Simplify 0 into 0
1.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.776 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1.776 * [backup-simplify]: Simplify 0 into 0
1.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.778 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1.778 * [backup-simplify]: Simplify 0 into 0
1.778 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1.779 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
1.779 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1.779 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.779 * [taylor]: Taking taylor expansion of -2 in n
1.779 * [backup-simplify]: Simplify -2 into -2
1.779 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.779 * [taylor]: Taking taylor expansion of PI in n
1.779 * [backup-simplify]: Simplify PI into PI
1.779 * [taylor]: Taking taylor expansion of n in n
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify 1 into 1
1.779 * [backup-simplify]: Simplify (/ PI 1) into PI
1.779 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.779 * [taylor]: Taking taylor expansion of -2 in n
1.779 * [backup-simplify]: Simplify -2 into -2
1.779 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.779 * [taylor]: Taking taylor expansion of PI in n
1.779 * [backup-simplify]: Simplify PI into PI
1.779 * [taylor]: Taking taylor expansion of n in n
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify 1 into 1
1.780 * [backup-simplify]: Simplify (/ PI 1) into PI
1.780 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.780 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.781 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1.781 * [backup-simplify]: Simplify 0 into 0
1.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.782 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1.782 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.784 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.784 * [backup-simplify]: Simplify 0 into 0
1.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.785 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1.785 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.786 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1.786 * [backup-simplify]: Simplify 0 into 0
1.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.788 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1.788 * [backup-simplify]: Simplify 0 into 0
1.788 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1.788 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1.789 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
1.789 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
1.789 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1.789 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1.789 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1.789 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1.789 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1.789 * [taylor]: Taking taylor expansion of 1/2 in k
1.789 * [backup-simplify]: Simplify 1/2 into 1/2
1.789 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.789 * [taylor]: Taking taylor expansion of 1 in k
1.789 * [backup-simplify]: Simplify 1 into 1
1.789 * [taylor]: Taking taylor expansion of k in k
1.789 * [backup-simplify]: Simplify 0 into 0
1.789 * [backup-simplify]: Simplify 1 into 1
1.789 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.789 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.789 * [taylor]: Taking taylor expansion of 2 in k
1.789 * [backup-simplify]: Simplify 2 into 2
1.789 * [taylor]: Taking taylor expansion of (* n PI) in k
1.789 * [taylor]: Taking taylor expansion of n in k
1.789 * [backup-simplify]: Simplify n into n
1.789 * [taylor]: Taking taylor expansion of PI in k
1.789 * [backup-simplify]: Simplify PI into PI
1.789 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.789 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.789 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.789 * [backup-simplify]: Simplify (- 0) into 0
1.790 * [backup-simplify]: Simplify (+ 1 0) into 1
1.790 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.790 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.790 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.790 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.790 * [taylor]: Taking taylor expansion of k in k
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [backup-simplify]: Simplify 1 into 1
1.790 * [backup-simplify]: Simplify (/ 1 1) into 1
1.791 * [backup-simplify]: Simplify (sqrt 0) into 0
1.792 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.792 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1.792 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.792 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.792 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.792 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.792 * [taylor]: Taking taylor expansion of 1/2 in n
1.792 * [backup-simplify]: Simplify 1/2 into 1/2
1.792 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.792 * [taylor]: Taking taylor expansion of 1 in n
1.792 * [backup-simplify]: Simplify 1 into 1
1.792 * [taylor]: Taking taylor expansion of k in n
1.792 * [backup-simplify]: Simplify k into k
1.792 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.792 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.792 * [taylor]: Taking taylor expansion of 2 in n
1.792 * [backup-simplify]: Simplify 2 into 2
1.792 * [taylor]: Taking taylor expansion of (* n PI) in n
1.792 * [taylor]: Taking taylor expansion of n in n
1.792 * [backup-simplify]: Simplify 0 into 0
1.792 * [backup-simplify]: Simplify 1 into 1
1.792 * [taylor]: Taking taylor expansion of PI in n
1.792 * [backup-simplify]: Simplify PI into PI
1.792 * [backup-simplify]: Simplify (* 0 PI) into 0
1.793 * [backup-simplify]: Simplify (* 2 0) into 0
1.794 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.794 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.795 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.795 * [backup-simplify]: Simplify (- k) into (- k)
1.795 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.795 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.796 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.797 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.797 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.797 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1.797 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.797 * [taylor]: Taking taylor expansion of k in n
1.797 * [backup-simplify]: Simplify k into k
1.797 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.797 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1.798 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1.798 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.798 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.798 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.798 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.798 * [taylor]: Taking taylor expansion of 1/2 in n
1.798 * [backup-simplify]: Simplify 1/2 into 1/2
1.798 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.798 * [taylor]: Taking taylor expansion of 1 in n
1.798 * [backup-simplify]: Simplify 1 into 1
1.798 * [taylor]: Taking taylor expansion of k in n
1.798 * [backup-simplify]: Simplify k into k
1.798 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.798 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.798 * [taylor]: Taking taylor expansion of 2 in n
1.798 * [backup-simplify]: Simplify 2 into 2
1.798 * [taylor]: Taking taylor expansion of (* n PI) in n
1.798 * [taylor]: Taking taylor expansion of n in n
1.798 * [backup-simplify]: Simplify 0 into 0
1.798 * [backup-simplify]: Simplify 1 into 1
1.798 * [taylor]: Taking taylor expansion of PI in n
1.798 * [backup-simplify]: Simplify PI into PI
1.798 * [backup-simplify]: Simplify (* 0 PI) into 0
1.798 * [backup-simplify]: Simplify (* 2 0) into 0
1.799 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.800 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.801 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.801 * [backup-simplify]: Simplify (- k) into (- k)
1.801 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.801 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.802 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.802 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.803 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.803 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.803 * [taylor]: Taking taylor expansion of k in n
1.803 * [backup-simplify]: Simplify k into k
1.803 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.803 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1.804 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k)))
1.804 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
1.804 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1.804 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1.804 * [taylor]: Taking taylor expansion of 1/2 in k
1.804 * [backup-simplify]: Simplify 1/2 into 1/2
1.804 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1.804 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.804 * [taylor]: Taking taylor expansion of 1 in k
1.804 * [backup-simplify]: Simplify 1 into 1
1.804 * [taylor]: Taking taylor expansion of k in k
1.804 * [backup-simplify]: Simplify 0 into 0
1.804 * [backup-simplify]: Simplify 1 into 1
1.804 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1.804 * [taylor]: Taking taylor expansion of (log n) in k
1.804 * [taylor]: Taking taylor expansion of n in k
1.804 * [backup-simplify]: Simplify n into n
1.804 * [backup-simplify]: Simplify (log n) into (log n)
1.804 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.804 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.804 * [taylor]: Taking taylor expansion of 2 in k
1.804 * [backup-simplify]: Simplify 2 into 2
1.804 * [taylor]: Taking taylor expansion of PI in k
1.804 * [backup-simplify]: Simplify PI into PI
1.805 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.805 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.805 * [backup-simplify]: Simplify (- 0) into 0
1.806 * [backup-simplify]: Simplify (+ 1 0) into 1
1.807 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.807 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1.808 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1.809 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.809 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1.809 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.809 * [taylor]: Taking taylor expansion of k in k
1.809 * [backup-simplify]: Simplify 0 into 0
1.809 * [backup-simplify]: Simplify 1 into 1
1.809 * [backup-simplify]: Simplify (/ 1 1) into 1
1.809 * [backup-simplify]: Simplify (sqrt 0) into 0
1.810 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.811 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1.811 * [backup-simplify]: Simplify 0 into 0
1.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.812 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.813 * [backup-simplify]: Simplify (- 0) into 0
1.814 * [backup-simplify]: Simplify (+ 0 0) into 0
1.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1.815 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.815 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1.816 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.817 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
1.817 * [taylor]: Taking taylor expansion of 0 in k
1.817 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1.818 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.819 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.819 * [backup-simplify]: Simplify (+ 0 0) into 0
1.820 * [backup-simplify]: Simplify (- 1) into -1
1.820 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.821 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1.822 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1.824 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.828 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.830 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.831 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.833 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.836 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.836 * [backup-simplify]: Simplify (- 0) into 0
1.837 * [backup-simplify]: Simplify (+ 0 0) into 0
1.838 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1.839 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.840 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.843 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.847 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
1.847 * [taylor]: Taking taylor expansion of 0 in k
1.847 * [backup-simplify]: Simplify 0 into 0
1.847 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.851 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.858 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.858 * [backup-simplify]: Simplify (+ 0 0) into 0
1.859 * [backup-simplify]: Simplify (- 0) into 0
1.859 * [backup-simplify]: Simplify (+ 0 0) into 0
1.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.867 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1.876 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
1.879 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
1.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1.883 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1.888 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1.889 * [backup-simplify]: Simplify (- 0) into 0
1.889 * [backup-simplify]: Simplify (+ 0 0) into 0
1.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
1.892 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.894 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1.896 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.898 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
1.899 * [taylor]: Taking taylor expansion of 0 in k
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1.907 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
1.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.913 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1.914 * [backup-simplify]: Simplify (+ 0 0) into 0
1.914 * [backup-simplify]: Simplify (- 0) into 0
1.915 * [backup-simplify]: Simplify (+ 0 0) into 0
1.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1.927 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.944 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
1.955 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
1.969 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
1.969 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
1.969 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
1.969 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1.970 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1.970 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1.970 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1.970 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1.970 * [taylor]: Taking taylor expansion of 1/2 in k
1.970 * [backup-simplify]: Simplify 1/2 into 1/2
1.970 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.970 * [taylor]: Taking taylor expansion of 1 in k
1.970 * [backup-simplify]: Simplify 1 into 1
1.970 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.970 * [taylor]: Taking taylor expansion of k in k
1.970 * [backup-simplify]: Simplify 0 into 0
1.970 * [backup-simplify]: Simplify 1 into 1
1.970 * [backup-simplify]: Simplify (/ 1 1) into 1
1.970 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1.970 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1.970 * [taylor]: Taking taylor expansion of 2 in k
1.970 * [backup-simplify]: Simplify 2 into 2
1.970 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.970 * [taylor]: Taking taylor expansion of PI in k
1.970 * [backup-simplify]: Simplify PI into PI
1.970 * [taylor]: Taking taylor expansion of n in k
1.970 * [backup-simplify]: Simplify n into n
1.970 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.970 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1.970 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1.970 * [backup-simplify]: Simplify (- 1) into -1
1.971 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.971 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1.971 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1.971 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1.971 * [taylor]: Taking taylor expansion of (sqrt k) in k
1.971 * [taylor]: Taking taylor expansion of k in k
1.971 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify 1 into 1
1.971 * [backup-simplify]: Simplify (sqrt 0) into 0
1.972 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.972 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1.972 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.972 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.972 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.972 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.972 * [taylor]: Taking taylor expansion of 1/2 in n
1.972 * [backup-simplify]: Simplify 1/2 into 1/2
1.973 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.973 * [taylor]: Taking taylor expansion of 1 in n
1.973 * [backup-simplify]: Simplify 1 into 1
1.973 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.973 * [taylor]: Taking taylor expansion of k in n
1.973 * [backup-simplify]: Simplify k into k
1.973 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.973 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.973 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.973 * [taylor]: Taking taylor expansion of 2 in n
1.973 * [backup-simplify]: Simplify 2 into 2
1.973 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.973 * [taylor]: Taking taylor expansion of PI in n
1.973 * [backup-simplify]: Simplify PI into PI
1.973 * [taylor]: Taking taylor expansion of n in n
1.973 * [backup-simplify]: Simplify 0 into 0
1.973 * [backup-simplify]: Simplify 1 into 1
1.973 * [backup-simplify]: Simplify (/ PI 1) into PI
1.975 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.976 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.976 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.976 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.976 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.977 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.978 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.978 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.978 * [taylor]: Taking taylor expansion of (sqrt k) in n
1.978 * [taylor]: Taking taylor expansion of k in n
1.978 * [backup-simplify]: Simplify k into k
1.978 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1.978 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1.978 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.978 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.978 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.979 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.979 * [taylor]: Taking taylor expansion of 1/2 in n
1.979 * [backup-simplify]: Simplify 1/2 into 1/2
1.979 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.979 * [taylor]: Taking taylor expansion of 1 in n
1.979 * [backup-simplify]: Simplify 1 into 1
1.979 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.979 * [taylor]: Taking taylor expansion of k in n
1.979 * [backup-simplify]: Simplify k into k
1.979 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.979 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.979 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.979 * [taylor]: Taking taylor expansion of 2 in n
1.979 * [backup-simplify]: Simplify 2 into 2
1.979 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.979 * [taylor]: Taking taylor expansion of PI in n
1.979 * [backup-simplify]: Simplify PI into PI
1.979 * [taylor]: Taking taylor expansion of n in n
1.979 * [backup-simplify]: Simplify 0 into 0
1.979 * [backup-simplify]: Simplify 1 into 1
1.979 * [backup-simplify]: Simplify (/ PI 1) into PI
1.979 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.980 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.980 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.980 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.980 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.982 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.982 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.982 * [taylor]: Taking taylor expansion of (sqrt k) in n
1.982 * [taylor]: Taking taylor expansion of k in n
1.982 * [backup-simplify]: Simplify k into k
1.982 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1.983 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k))
1.983 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
1.983 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1.983 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1.983 * [taylor]: Taking taylor expansion of 1/2 in k
1.983 * [backup-simplify]: Simplify 1/2 into 1/2
1.983 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1.983 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.983 * [taylor]: Taking taylor expansion of 1 in k
1.983 * [backup-simplify]: Simplify 1 into 1
1.983 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.983 * [taylor]: Taking taylor expansion of k in k
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.984 * [backup-simplify]: Simplify (/ 1 1) into 1
1.984 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1.984 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.984 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.984 * [taylor]: Taking taylor expansion of 2 in k
1.984 * [backup-simplify]: Simplify 2 into 2
1.984 * [taylor]: Taking taylor expansion of PI in k
1.984 * [backup-simplify]: Simplify PI into PI
1.984 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.985 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.985 * [taylor]: Taking taylor expansion of (log n) in k
1.985 * [taylor]: Taking taylor expansion of n in k
1.985 * [backup-simplify]: Simplify n into n
1.985 * [backup-simplify]: Simplify (log n) into (log n)
1.985 * [backup-simplify]: Simplify (- 1) into -1
1.985 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.985 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.986 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1.986 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1.987 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1.988 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.988 * [taylor]: Taking taylor expansion of (sqrt k) in k
1.988 * [taylor]: Taking taylor expansion of k in k
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify 1 into 1
1.988 * [backup-simplify]: Simplify (sqrt 0) into 0
1.989 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.990 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
1.990 * [backup-simplify]: Simplify 0 into 0
1.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.990 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.991 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.992 * [backup-simplify]: Simplify (- 0) into 0
1.992 * [backup-simplify]: Simplify (+ 0 0) into 0
1.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1.993 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.994 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1.995 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.996 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
1.996 * [taylor]: Taking taylor expansion of 0 in k
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1.997 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1.998 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.001 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.001 * [backup-simplify]: Simplify (- 0) into 0
2.001 * [backup-simplify]: Simplify (+ 0 0) into 0
2.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
2.003 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.004 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.006 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.008 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
2.008 * [taylor]: Taking taylor expansion of 0 in k
2.008 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.013 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.014 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.017 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.023 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
2.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.023 * [backup-simplify]: Simplify (- 0) into 0
2.024 * [backup-simplify]: Simplify (+ 0 0) into 0
2.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
2.026 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.028 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.031 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.033 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
2.034 * [taylor]: Taking taylor expansion of 0 in k
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify 0 into 0
2.038 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.040 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.041 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
2.045 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
2.046 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
2.046 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
2.046 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
2.046 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
2.046 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
2.046 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
2.046 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
2.046 * [taylor]: Taking taylor expansion of 1/2 in k
2.046 * [backup-simplify]: Simplify 1/2 into 1/2
2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
2.046 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.046 * [taylor]: Taking taylor expansion of k in k
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 1 into 1
2.047 * [backup-simplify]: Simplify (/ 1 1) into 1
2.047 * [taylor]: Taking taylor expansion of 1 in k
2.047 * [backup-simplify]: Simplify 1 into 1
2.047 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.047 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.047 * [taylor]: Taking taylor expansion of -2 in k
2.047 * [backup-simplify]: Simplify -2 into -2
2.047 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.047 * [taylor]: Taking taylor expansion of PI in k
2.047 * [backup-simplify]: Simplify PI into PI
2.047 * [taylor]: Taking taylor expansion of n in k
2.047 * [backup-simplify]: Simplify n into n
2.047 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.047 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.047 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.048 * [backup-simplify]: Simplify (+ 1 0) into 1
2.048 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.048 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.049 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
2.049 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.049 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.049 * [taylor]: Taking taylor expansion of -1 in k
2.049 * [backup-simplify]: Simplify -1 into -1
2.049 * [taylor]: Taking taylor expansion of k in k
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [backup-simplify]: Simplify 1 into 1
2.049 * [backup-simplify]: Simplify (/ -1 1) into -1
2.050 * [backup-simplify]: Simplify (sqrt 0) into 0
2.051 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.051 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
2.051 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
2.051 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
2.051 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
2.051 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
2.051 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
2.051 * [taylor]: Taking taylor expansion of 1/2 in n
2.052 * [backup-simplify]: Simplify 1/2 into 1/2
2.052 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
2.052 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.052 * [taylor]: Taking taylor expansion of k in n
2.052 * [backup-simplify]: Simplify k into k
2.052 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.052 * [taylor]: Taking taylor expansion of 1 in n
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.052 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.052 * [taylor]: Taking taylor expansion of -2 in n
2.052 * [backup-simplify]: Simplify -2 into -2
2.052 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.052 * [taylor]: Taking taylor expansion of PI in n
2.052 * [backup-simplify]: Simplify PI into PI
2.052 * [taylor]: Taking taylor expansion of n in n
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 1 into 1
2.053 * [backup-simplify]: Simplify (/ PI 1) into PI
2.053 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.054 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.055 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
2.055 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
2.056 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.057 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
2.059 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
2.059 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.059 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.059 * [taylor]: Taking taylor expansion of -1 in n
2.059 * [backup-simplify]: Simplify -1 into -1
2.059 * [taylor]: Taking taylor expansion of k in n
2.059 * [backup-simplify]: Simplify k into k
2.059 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.059 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.059 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.060 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
2.060 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
2.060 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
2.060 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
2.061 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
2.061 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
2.061 * [taylor]: Taking taylor expansion of 1/2 in n
2.061 * [backup-simplify]: Simplify 1/2 into 1/2
2.061 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
2.061 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.061 * [taylor]: Taking taylor expansion of k in n
2.061 * [backup-simplify]: Simplify k into k
2.061 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.061 * [taylor]: Taking taylor expansion of 1 in n
2.061 * [backup-simplify]: Simplify 1 into 1
2.061 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.061 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.061 * [taylor]: Taking taylor expansion of -2 in n
2.061 * [backup-simplify]: Simplify -2 into -2
2.061 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.061 * [taylor]: Taking taylor expansion of PI in n
2.061 * [backup-simplify]: Simplify PI into PI
2.061 * [taylor]: Taking taylor expansion of n in n
2.061 * [backup-simplify]: Simplify 0 into 0
2.061 * [backup-simplify]: Simplify 1 into 1
2.062 * [backup-simplify]: Simplify (/ PI 1) into PI
2.062 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.063 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.063 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
2.063 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
2.065 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.066 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
2.067 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
2.067 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.067 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.067 * [taylor]: Taking taylor expansion of -1 in n
2.067 * [backup-simplify]: Simplify -1 into -1
2.067 * [taylor]: Taking taylor expansion of k in n
2.067 * [backup-simplify]: Simplify k into k
2.067 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.067 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.067 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.069 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
2.069 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
2.069 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
2.069 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
2.069 * [taylor]: Taking taylor expansion of 1/2 in k
2.069 * [backup-simplify]: Simplify 1/2 into 1/2
2.069 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
2.069 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
2.069 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.069 * [taylor]: Taking taylor expansion of k in k
2.070 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify 1 into 1
2.070 * [backup-simplify]: Simplify (/ 1 1) into 1
2.070 * [taylor]: Taking taylor expansion of 1 in k
2.070 * [backup-simplify]: Simplify 1 into 1
2.070 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.070 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.070 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.070 * [taylor]: Taking taylor expansion of -2 in k
2.070 * [backup-simplify]: Simplify -2 into -2
2.070 * [taylor]: Taking taylor expansion of PI in k
2.070 * [backup-simplify]: Simplify PI into PI
2.071 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.072 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.072 * [taylor]: Taking taylor expansion of (log n) in k
2.072 * [taylor]: Taking taylor expansion of n in k
2.072 * [backup-simplify]: Simplify n into n
2.072 * [backup-simplify]: Simplify (log n) into (log n)
2.072 * [backup-simplify]: Simplify (+ 1 0) into 1
2.072 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.074 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.075 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
2.076 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.077 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
2.078 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.078 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.078 * [taylor]: Taking taylor expansion of -1 in k
2.078 * [backup-simplify]: Simplify -1 into -1
2.078 * [taylor]: Taking taylor expansion of k in k
2.078 * [backup-simplify]: Simplify 0 into 0
2.078 * [backup-simplify]: Simplify 1 into 1
2.078 * [backup-simplify]: Simplify (/ -1 1) into -1
2.079 * [backup-simplify]: Simplify (sqrt 0) into 0
2.080 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.081 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
2.082 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
2.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.084 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.086 * [backup-simplify]: Simplify (+ 0 0) into 0
2.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
2.088 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.089 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.091 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.092 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
2.092 * [taylor]: Taking taylor expansion of 0 in k
2.092 * [backup-simplify]: Simplify 0 into 0
2.092 * [backup-simplify]: Simplify 0 into 0
2.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.096 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.098 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
2.099 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
2.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.104 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.107 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
2.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.108 * [backup-simplify]: Simplify (+ 0 0) into 0
2.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
2.110 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.111 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.113 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.113 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.114 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
2.115 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
2.115 * [taylor]: Taking taylor expansion of 0 in k
2.116 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.124 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
2.126 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
2.129 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
2.129 * * * [progress]: simplifying candidates
2.129 * * * * [progress]: [ 1 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.129 * * * * [progress]: [ 2 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.129 * * * * [progress]: [ 3 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) (sqrt k)))>
2.129 * * * * [progress]: [ 4 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
2.129 * * * * [progress]: [ 5 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
2.129 * * * * [progress]: [ 6 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
2.129 * * * * [progress]: [ 7 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.129 * * * * [progress]: [ 8 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.129 * * * * [progress]: [ 9 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.129 * * * * [progress]: [ 10 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
2.129 * * * * [progress]: [ 11 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))>
2.129 * * * * [progress]: [ 12 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 13 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 14 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 15 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k)))>
2.130 * * * * [progress]: [ 16 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 17 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 18 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))>
2.130 * * * * [progress]: [ 19 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 20 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 21 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.130 * * * * [progress]: [ 22 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 23 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 24 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k)))>
2.130 * * * * [progress]: [ 25 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 26 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 27 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>
2.130 * * * * [progress]: [ 28 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 29 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 30 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.130 * * * * [progress]: [ 31 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.130 * * * * [progress]: [ 32 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)) (sqrt k)))>
2.130 * * * * [progress]: [ 33 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))>
2.130 * * * * [progress]: [ 34 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
2.130 * * * * [progress]: [ 35 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.130 * * * * [progress]: [ 36 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.131 * * * * [progress]: [ 37 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.131 * * * * [progress]: [ 38 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.131 * * * * [progress]: [ 39 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.131 * * * * [progress]: [ 40 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))>
2.131 * * * * [progress]: [ 41 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
2.131 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.131 * * * * [progress]: [ 43 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 44 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 45 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 46 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 47 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 48 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 49 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 50 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 51 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 52 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 53 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 54 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 55 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 56 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 57 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 58 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 59 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
2.131 * * * * [progress]: [ 60 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
2.132 * * * * [progress]: [ 61 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
2.132 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.132 * * * * [progress]: [ 63 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))>
2.132 * * * * [progress]: [ 64 / 133 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.132 * * * * [progress]: [ 65 / 133 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.132 * * * * [progress]: [ 66 / 133 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 1))>
2.132 * * * * [progress]: [ 67 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.132 * * * * [progress]: [ 68 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.132 * * * * [progress]: [ 69 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.132 * * * * [progress]: [ 70 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.132 * * * * [progress]: [ 71 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))))>
2.132 * * * * [progress]: [ 72 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.132 * * * * [progress]: [ 73 / 133 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.132 * * * * [progress]: [ 74 / 133 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
2.132 * * * * [progress]: [ 75 / 133 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.132 * * * * [progress]: [ 76 / 133 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.132 * * * * [progress]: [ 77 / 133 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.132 * * * * [progress]: [ 78 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k))))>
2.132 * * * * [progress]: [ 79 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
2.132 * * * * [progress]: [ 80 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
2.132 * * * * [progress]: [ 81 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.132 * * * * [progress]: [ 82 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
2.132 * * * * [progress]: [ 83 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.132 * * * * [progress]: [ 84 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
2.132 * * * * [progress]: [ 85 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
2.133 * * * * [progress]: [ 86 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
2.133 * * * * [progress]: [ 87 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.133 * * * * [progress]: [ 88 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
2.133 * * * * [progress]: [ 89 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.133 * * * * [progress]: [ 90 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
2.133 * * * * [progress]: [ 91 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
2.133 * * * * [progress]: [ 92 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
2.133 * * * * [progress]: [ 93 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.133 * * * * [progress]: [ 94 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
2.133 * * * * [progress]: [ 95 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.133 * * * * [progress]: [ 96 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
2.133 * * * * [progress]: [ 97 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
2.133 * * * * [progress]: [ 98 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
2.133 * * * * [progress]: [ 99 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.133 * * * * [progress]: [ 100 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
2.133 * * * * [progress]: [ 101 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.133 * * * * [progress]: [ 102 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
2.133 * * * * [progress]: [ 103 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))>
2.133 * * * * [progress]: [ 104 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))>
2.133 * * * * [progress]: [ 105 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
2.133 * * * * [progress]: [ 106 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
2.133 * * * * [progress]: [ 107 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
2.134 * * * * [progress]: [ 108 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
2.134 * * * * [progress]: [ 109 / 133 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
2.134 * * * * [progress]: [ 110 / 133 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
2.134 * * * * [progress]: [ 111 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
2.134 * * * * [progress]: [ 112 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
2.134 * * * * [progress]: [ 113 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
2.134 * * * * [progress]: [ 114 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.134 * * * * [progress]: [ 115 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))>
2.134 * * * * [progress]: [ 116 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.134 * * * * [progress]: [ 117 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
2.134 * * * * [progress]: [ 118 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))>
2.134 * * * * [progress]: [ 119 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
2.134 * * * * [progress]: [ 120 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
2.134 * * * * [progress]: [ 121 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
2.134 * * * * [progress]: [ 122 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
2.134 * * * * [progress]: [ 123 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
2.134 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.134 * * * * [progress]: [ 125 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
2.134 * * * * [progress]: [ 126 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
2.134 * * * * [progress]: [ 127 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
2.134 * * * * [progress]: [ 128 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
2.134 * * * * [progress]: [ 129 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
2.134 * * * * [progress]: [ 130 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
2.134 * * * * [progress]: [ 131 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
2.135 * * * * [progress]: [ 132 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
2.135 * * * * [progress]: [ 133 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
2.136 * [simplify]: Simplifying (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))), (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2))), (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)), (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)), (* (log (* n (* 2 PI))) (/ (- 1 k) 2)), (* (log (* n (* 2 PI))) (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (pow (* n (* 2 PI)) (/ 1 2)), (pow (* n (* 2 PI)) (/ k 2)), (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))), (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))), (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)), (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)), (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* n (* 2 PI)) (/ 1 (sqrt 2))), (pow (* n (* 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k))), (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))), (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))), (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))), (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))), (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))), (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))), (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))), (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))), (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))), (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))), (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))), (- (sqrt k)), (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))), (/ (pow 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(/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))), (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))), (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))), (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))), (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))), (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))), (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))), (* 2 (* n PI)), (* 2 (* n PI)), (* 2 (* n PI)), (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))), (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))), (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
2.138 * * [simplify]: iteration 1: (293 enodes)
2.265 * * [simplify]: Extracting #0: cost 106 inf + 0
2.265 * * [simplify]: Extracting #1: cost 339 inf + 1
2.268 * * [simplify]: Extracting #2: cost 440 inf + 1741
2.273 * * [simplify]: Extracting #3: cost 425 inf + 16412
2.286 * * [simplify]: Extracting #4: cost 291 inf + 70159
2.304 * * [simplify]: Extracting #5: cost 170 inf + 134716
2.323 * * [simplify]: Extracting #6: cost 120 inf + 160198
2.345 * * [simplify]: Extracting #7: cost 88 inf + 177290
2.374 * * [simplify]: Extracting #8: cost 75 inf + 187924
2.426 * * [simplify]: Extracting #9: cost 70 inf + 196920
2.478 * * [simplify]: Extracting #10: cost 65 inf + 203559
2.522 * * [simplify]: Extracting #11: cost 51 inf + 214060
2.552 * * [simplify]: Extracting #12: cost 39 inf + 222217
2.587 * * [simplify]: Extracting #13: cost 24 inf + 238502
2.629 * * [simplify]: Extracting #14: cost 14 inf + 249962
2.700 * * [simplify]: Extracting #15: cost 5 inf + 264656
2.784 * * [simplify]: Extracting #16: cost 0 inf + 273126
2.869 * [simplify]: Simplified to (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 2))), (log1p (pow (* (* PI 2) n) (/ (- 1 k) 2))), (* (/ (- 1 k) 2) (log (* (* PI 2) n))), (* (/ (- 1 k) 2) (log (* (* PI 2) n))), (* (/ (- 1 k) 2) (log (* (* PI 2) n))), (* (/ (- 1 k) 2) (log (* (* PI 2) n))), (/ (- 1 k) 2), (/ (- 1 k) 2), (/ (- 1 k) 2), (pow (* (* PI 2) n) 1/2), (pow (* (* PI 2) n) (/ k 2)), (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))), (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))), (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))), (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* PI 2) n) (sqrt (- 1 k))), (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* PI 2) n) (/ 1 (sqrt 2))), (* (* PI 2) n), (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2))), (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* PI 2) n) (+ (sqrt k) 1)), (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2))), (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* PI 2) n) (+ (sqrt k) 1)), (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* PI 2) n) (/ 1 (sqrt 2))), (* (* PI 2) n), (* (* PI 2) n), (pow (* (* PI 2) n) (- 1 k)), (pow n (/ (- 1 k) 2)), (pow (* PI 2) (/ (- 1 k) 2)), (* (/ (- 1 k) 2) (log (* (* PI 2) n))), (exp (pow (* (* PI 2) n) (/ (- 1 k) 2))), (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))), (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))), (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))), (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))), (pow (* (* PI 2) n) (/ (- 1 k) 4)), (pow (* (* PI 2) n) (/ (- 1 k) 4)), (real->posit16 (pow (* (* PI 2) n) (/ (- 1 k) 2))), (expm1 (* (* PI 2) n)), (log1p (* (* PI 2) n)), (* (* PI 2) n), (* (* PI 2) n), (log (* (* PI 2) n)), (log (* (* PI 2) n)), (log (* (* PI 2) n)), (exp (* (* PI 2) n)), (* (* n n) (* n (* (* 4 2) (* (* PI PI) PI)))), (* (* (* (* n n) n) (* (* PI 2) (* PI 2))) (* PI 2)), (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))), (cbrt (* (* PI 2) n)), (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n))), (sqrt (* (* PI 2) n)), (sqrt (* (* PI 2) n)), (* n 2), (* (* PI 2) (cbrt n)), (* (* PI 2) (sqrt n)), (* (* PI 2) n), (real->posit16 (* (* PI 2) n)), (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))), (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))), (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))), (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))), (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) k) (sqrt k)), (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))), (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))), (* (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))), (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))), (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))), (- (pow (* (* PI 2) n) (/ (- 1 k) 2))), (- (sqrt k)), (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k))), (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))), (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (cbrt k))), (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))), (pow n (/ (- 1 k) 2)), (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k)), (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k))), (pow n (/ (- 1 k) 2)), (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k)), (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))), (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))), (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))), (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))), (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))), (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))), (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)), (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))), (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))), (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)), (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))), (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt k))), (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))), (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))), (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)), (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))), (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))), (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)), (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))), (/ 1 (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))), 1, (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))), 1, (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)), (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt k))), (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))), (pow (* (* PI 2) n) (/ (- 1 k) 4)), (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)), (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))), (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))), (pow (* (* PI 2) n) (/ (- 1 k) 4)), (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)), (/ 1 (sqrt k)), (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))), (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))), (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))), (pow (* (* PI 2) n) (/ (- 1 k) 2)), (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))), (pow (* (* PI 2) n) (/ (- 1 k) 2)), (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))), (/ (sqrt k) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))), (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))), (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))), (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 4))), (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k)), (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))), (- (fma 1/4 (* (* (exp (* (log (* (* PI 2) n)) 1/2)) (* (* k k) (log n))) (log (* PI 2))) (fma 1/8 (* (* (exp (* (log (* (* PI 2) n)) 1/2)) (* (log n) (log n))) (* k k)) (+ (exp (* (log (* (* PI 2) n)) 1/2)) (* (* 1/8 (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) (exp (* (log (* (* PI 2) n)) 1/2))))))) (* 1/2 (+ (* (* (log n) k) (exp (* (log (* (* PI 2) n)) 1/2))) (* (log (* PI 2)) (* k (exp (* (log (* (* PI 2) n)) 1/2))))))), (exp (* (* (- (log (* PI 2)) (- (log n))) (- 1 k)) 1/2)), (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))), (* (* PI 2) n), (* (* PI 2) n), (* (* PI 2) n), (- (- (* (* (* (exp (* (log (* (* PI 2) n)) 1/2)) (* (* k k) (log n))) (log (* PI 2))) +nan.0) (- (* (* +nan.0 (log (* PI 2))) (* (* k k) (exp (* (log (* (* PI 2) n)) 1/2)))) (- (* (* (* (exp (* (log (* (* PI 2) n)) 1/2)) (* (log n) (log n))) (* k k)) +nan.0) (- (* (* (exp (* (log (* (* PI 2) n)) 1/2)) +nan.0) k) (- (* (exp (* (log (* (* PI 2) n)) 1/2)) +nan.0) (- (* (* (* (* (log (* PI 2)) (log (* PI 2))) (exp (* (log (* (* PI 2) n)) 1/2))) (* k k)) +nan.0) (- (* (* (exp (* (log (* (* PI 2) n)) 1/2)) +nan.0) (* (* k k) (log n))) (- (* (* (exp (* (log (* (* PI 2) n)) 1/2)) +nan.0) (* k k)) (- (* (* (log (* PI 2)) (* k (exp (* (log (* (* PI 2) n)) 1/2)))) +nan.0) (* +nan.0 (* (* (log n) k) (exp (* (log (* (* PI 2) n)) 1/2)))))))))))))), (- (- (* +nan.0 (/ (exp (* (* (- (log (* PI 2)) (- (log n))) (- 1 k)) 1/2)) k)) (- (* (/ (exp (* (* (- (log (* PI 2)) (- (log n))) (- 1 k)) 1/2)) (* k k)) +nan.0) (* +nan.0 (/ (exp (* (* (- (log (* PI 2)) (- (log n))) (- 1 k)) 1/2)) (* k (* k k))))))), (- (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) k)) (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) +nan.0) (* (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) +nan.0))))
2.869 * * * * [progress]: [ 1 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.869 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (log1p (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))
2.869 * * * * [progress]: [ 2 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.869 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (expm1 (log1p (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))
2.869 * * * * [progress]: [ 3 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) (sqrt k)))>
2.869 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (log (* (* PI 2) n)))) (sqrt k)))
2.870 * * * * [progress]: [ 4 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
2.870 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (log (* (* PI 2) n)))) (sqrt k)))
2.870 * * * * [progress]: [ 5 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
2.870 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (log (* (* PI 2) n)))) (sqrt k)))
2.870 * * * * [progress]: [ 6 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
2.870 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (log (* (* PI 2) n)))) (sqrt k)))
2.870 * * * * [progress]: [ 7 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.870 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
2.870 * * * * [progress]: [ 8 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.870 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
2.870 * * * * [progress]: [ 9 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.870 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
2.870 * * * * [progress]: [ 10 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
2.870 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))
2.870 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* PI 2) n) (/ k 2))) (sqrt k)))
2.870 * * * * [progress]: [ 11 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))>
2.870 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))
2.870 * * * * [progress]: [ 12 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))>
2.870 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))
2.871 * * * * [progress]: [ 13 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k)))>
2.871 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k)))
2.871 * * * * [progress]: [ 14 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))>
2.871 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))
2.871 * * * * [progress]: [ 15 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k)))>
2.871 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (sqrt k)))
2.871 * * * * [progress]: [ 16 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))>
2.871 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))
2.871 * * * * [progress]: [ 17 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))>
2.871 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))
2.871 * * * * [progress]: [ 18 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))>
2.871 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (sqrt k)))
2.871 * * * * [progress]: [ 19 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.871 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))
2.871 * * * * [progress]: [ 20 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.871 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))
2.872 * * * * [progress]: [ 21 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.872 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
2.872 * * * * [progress]: [ 22 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k)))>
2.872 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k)))
2.872 * * * * [progress]: [ 23 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k)))>
2.872 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k)))
2.872 * * * * [progress]: [ 24 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k)))>
2.872 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ (sqrt k) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k)))
2.872 * * * * [progress]: [ 25 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))>
2.872 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (cbrt 2)) (cbrt 2))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))
2.872 * * * * [progress]: [ 26 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))>
2.872 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))
2.872 * * * * [progress]: [ 27 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>
2.872 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))
2.872 * * * * [progress]: [ 28 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.872 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))
2.872 * * * * [progress]: [ 29 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.873 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))
2.873 * * * * [progress]: [ 30 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.873 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
2.873 * * * * [progress]: [ 31 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.873 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
2.873 * * * * [progress]: [ 32 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)) (sqrt k)))>
2.873 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2)) (sqrt k)))
2.873 * * * * [progress]: [ 33 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))>
2.873 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))
2.873 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (sqrt k)))
2.873 * * * * [progress]: [ 34 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
2.873 * * * * [progress]: [ 35 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.873 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (log (* (* PI 2) n)))) (sqrt k)))
2.873 * * * * [progress]: [ 36 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.873 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (log (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))
2.873 * * * * [progress]: [ 37 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.873 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))
2.873 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))
2.874 * * * * [progress]: [ 38 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.874 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (sqrt k)))
2.874 * * * * [progress]: [ 39 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.874 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))
2.874 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))
2.874 * * * * [progress]: [ 40 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))>
2.874 * * * * [progress]: [ 41 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
2.874 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
2.874 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (sqrt k)))
2.874 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.874 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k)))
2.874 * * * * [progress]: [ 43 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.874 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (log1p (expm1 (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))
2.874 * * * * [progress]: [ 44 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.874 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (expm1 (log1p (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))
2.874 * * * * [progress]: [ 45 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.874 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))
2.875 * * * * [progress]: [ 46 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.875 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))
2.875 * * * * [progress]: [ 47 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.875 * * * * [progress]: [ 48 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.875 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))
2.875 * * * * [progress]: [ 49 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.875 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))
2.875 * * * * [progress]: [ 50 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.875 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))
2.875 * * * * [progress]: [ 51 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.875 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (log (exp (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))
2.875 * * * * [progress]: [ 52 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.875 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* n n) (* n (* (* 4 2) (* (* PI PI) PI))))) (/ (- 1 k) 2)) (sqrt k)))
2.875 * * * * [progress]: [ 53 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.875 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n n) n) (* (* PI 2) (* PI 2))) (* PI 2))) (/ (- 1 k) 2)) (sqrt k)))
2.876 * * * * [progress]: [ 54 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.876 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))
2.876 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))
2.876 * * * * [progress]: [ 55 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.876 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))) (/ (- 1 k) 2)) (sqrt k)))
2.876 * * * * [progress]: [ 56 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.876 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))
2.876 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))
2.876 * * * * [progress]: [ 57 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
2.876 * * * * [progress]: [ 58 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))>
2.876 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
2.876 * * * * [progress]: [ 59 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
2.876 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (* PI 2) (cbrt n))) (/ (- 1 k) 2)) (sqrt k)))
2.876 * * * * [progress]: [ 60 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
2.876 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (sqrt n) (* (* PI 2) (sqrt n))) (/ (- 1 k) 2)) (sqrt k)))
2.876 * * * * [progress]: [ 61 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
2.876 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2)) (sqrt k)))
2.876 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.877 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k)))
2.877 * * * * [progress]: [ 63 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))>
2.877 * * * * [progress]: [ 64 / 133 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.877 * [simplify]: Simplified (2 1) to (λ (k n) (log1p (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))
2.877 * * * * [progress]: [ 65 / 133 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.877 * [simplify]: Simplified (2 1) to (λ (k n) (expm1 (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))
2.877 * * * * [progress]: [ 66 / 133 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 1))>
2.877 * * * * [progress]: [ 67 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.877 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))))
2.877 * * * * [progress]: [ 68 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.877 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))))
2.877 * * * * [progress]: [ 69 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.877 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))))
2.877 * * * * [progress]: [ 70 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
2.877 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))))
2.877 * * * * [progress]: [ 71 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))))>
2.877 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))))
2.877 * * * * [progress]: [ 72 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.877 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))))
2.878 * * * * [progress]: [ 73 / 133 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.878 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))
2.878 * * * * [progress]: [ 74 / 133 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
2.878 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) k) (sqrt k))))
2.878 * * * * [progress]: [ 75 / 133 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.878 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))
2.878 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))
2.878 * * * * [progress]: [ 76 / 133 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.878 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))
2.878 * * * * [progress]: [ 77 / 133 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.878 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))
2.878 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))
2.878 * * * * [progress]: [ 78 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k))))>
2.878 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) (- (sqrt k))))
2.878 * [simplify]: Simplified (2 2) to (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k))))
2.878 * * * * [progress]: [ 79 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
2.879 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))
2.879 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))))
2.879 * * * * [progress]: [ 80 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
2.879 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
2.879 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
2.879 * * * * [progress]: [ 81 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.879 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
2.879 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
2.879 * * * * [progress]: [ 82 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
2.879 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))
2.879 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))))
2.879 * * * * [progress]: [ 83 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.879 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
2.879 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
2.879 * * * * [progress]: [ 84 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
2.880 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))
2.880 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))))
2.880 * * * * [progress]: [ 85 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
2.880 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
2.880 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
2.880 * * * * [progress]: [ 86 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
2.880 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))
2.880 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))))
2.880 * * * * [progress]: [ 87 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.880 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
2.880 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
2.880 * * * * [progress]: [ 88 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
2.880 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))
2.881 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))))
2.881 * * * * [progress]: [ 89 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.881 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
2.881 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
2.881 * * * * [progress]: [ 90 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
2.881 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))
2.881 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))))
2.881 * * * * [progress]: [ 91 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
2.881 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
2.881 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
2.881 * * * * [progress]: [ 92 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
2.881 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))
2.882 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))))
2.882 * * * * [progress]: [ 93 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.882 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
2.882 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
2.882 * * * * [progress]: [ 94 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
2.882 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))
2.882 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))))
2.882 * * * * [progress]: [ 95 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
2.882 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
2.882 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
2.882 * * * * [progress]: [ 96 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
2.882 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))
2.882 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))))
2.882 * * * * [progress]: [ 97 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
2.883 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))
2.883 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))))
2.883 * * * * [progress]: [ 98 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
2.883 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
2.883 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
2.883 * * * * [progress]: [ 99 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.883 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
2.883 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
2.883 * * * * [progress]: [ 100 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
2.883 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
2.883 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
2.883 * * * * [progress]: [ 101 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
2.883 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
2.883 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
2.883 * * * * [progress]: [ 102 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
2.883 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
2.884 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
2.884 * * * * [progress]: [ 103 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))>
2.884 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))
2.884 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt k)))))
2.884 * * * * [progress]: [ 104 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))>
2.884 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))
2.884 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt k)))))
2.884 * * * * [progress]: [ 105 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
2.884 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))
2.884 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))))
2.884 * * * * [progress]: [ 106 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
2.884 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
2.884 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k))))
2.885 * * * * [progress]: [ 107 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
2.885 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))
2.885 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))))
2.885 * * * * [progress]: [ 108 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
2.885 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
2.885 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k))))
2.885 * * * * [progress]: [ 109 / 133 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
2.885 * * * * [progress]: [ 110 / 133 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
2.885 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
2.885 * * * * [progress]: [ 111 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
2.885 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))
2.885 * * * * [progress]: [ 112 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
2.885 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (sqrt k))))
2.885 * * * * [progress]: [ 113 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
2.885 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k))))
2.885 * * * * [progress]: [ 114 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.885 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
2.886 * * * * [progress]: [ 115 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))>
2.886 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
2.886 * * * * [progress]: [ 116 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.886 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
2.886 * * * * [progress]: [ 117 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
2.886 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
2.886 * * * * [progress]: [ 118 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))>
2.886 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))
2.886 * * * * [progress]: [ 119 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
2.886 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))))
2.886 * * * * [progress]: [ 120 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
2.886 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))))
2.886 * * * * [progress]: [ 121 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
2.886 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))
2.886 * * * * [progress]: [ 122 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
2.886 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 4)))))
2.886 * * * * [progress]: [ 123 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
2.886 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k))))
2.887 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
2.887 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))))
2.887 * * * * [progress]: [ 125 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
2.887 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (fma 1/4 (* (* (exp (* (log (* (* PI 2) n)) 1/2)) (* (* k k) (log n))) (log (* PI 2))) (fma 1/8 (* (* (exp (* (log (* (* PI 2) n)) 1/2)) (* (log n) (log n))) (* k k)) (+ (exp (* (log (* (* PI 2) n)) 1/2)) (* (* 1/8 (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) (exp (* (log (* (* PI 2) n)) 1/2))))))) (* 1/2 (+ (* (* (log n) k) (exp (* (log (* (* PI 2) n)) 1/2))) (* (log (* PI 2)) (* k (exp (* (log (* (* PI 2) n)) 1/2))))))) (sqrt k)))
2.887 * * * * [progress]: [ 126 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
2.887 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (* (- (log (* PI 2)) (- (log n))) (- 1 k)) 1/2)) (sqrt k)))
2.887 * * * * [progress]: [ 127 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
2.887 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) (sqrt k)))
2.887 * * * * [progress]: [ 128 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
2.887 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
2.887 * * * * [progress]: [ 129 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
2.887 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
2.887 * * * * [progress]: [ 130 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
2.887 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
2.887 * * * * [progress]: [ 131 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
2.888 * [simplify]: Simplified (2) to (λ (k n) (- (- (* (* (* (exp (* (log (* (* PI 2) n)) 1/2)) (* (* k k) (log n))) (log (* PI 2))) +nan.0) (- (* (* +nan.0 (log (* PI 2))) (* (* k k) (exp (* (log (* (* PI 2) n)) 1/2)))) (- (* (* (* (exp (* (log (* (* PI 2) n)) 1/2)) (* (log n) (log n))) (* k k)) +nan.0) (- (* (* (exp (* (log (* (* PI 2) n)) 1/2)) +nan.0) k) (- (* (exp (* (log (* (* PI 2) n)) 1/2)) +nan.0) (- (* (* (* (* (log (* PI 2)) (log (* PI 2))) (exp (* (log (* (* PI 2) n)) 1/2))) (* k k)) +nan.0) (- (* (* (exp (* (log (* (* PI 2) n)) 1/2)) +nan.0) (* (* k k) (log n))) (- (* (* (exp (* (log (* (* PI 2) n)) 1/2)) +nan.0) (* k k)) (- (* (* (log (* PI 2)) (* k (exp (* (log (* (* PI 2) n)) 1/2)))) +nan.0) (* +nan.0 (* (* (log n) k) (exp (* (log (* (* PI 2) n)) 1/2)))))))))))))))
2.888 * * * * [progress]: [ 132 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
2.888 * [simplify]: Simplified (2) to (λ (k n) (- (- (* +nan.0 (/ (exp (* (* (- (log (* PI 2)) (- (log n))) (- 1 k)) 1/2)) k)) (- (* (/ (exp (* (* (- (log (* PI 2)) (- (log n))) (- 1 k)) 1/2)) (* k k)) +nan.0) (* +nan.0 (/ (exp (* (* (- (log (* PI 2)) (- (log n))) (- 1 k)) 1/2)) (* k (* k k))))))))
2.888 * * * * [progress]: [ 133 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
2.888 * [simplify]: Simplified (2) to (λ (k n) (- (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) k)) (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) +nan.0) (* (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) +nan.0)))))
2.889 * * * [progress]: adding candidates to table
4.341 * * [progress]: iteration 2 / 4
4.341 * * * [progress]: picking best candidate
4.397 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
4.397 * * * [progress]: localizing error
4.420 * * * [progress]: generating rewritten candidates
4.420 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
4.443 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
4.452 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
4.474 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
4.516 * * * [progress]: generating series expansions
4.516 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
4.517 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
4.517 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
4.517 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
4.517 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
4.517 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
4.517 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
4.517 * [taylor]: Taking taylor expansion of 1/2 in k
4.517 * [backup-simplify]: Simplify 1/2 into 1/2
4.517 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.517 * [taylor]: Taking taylor expansion of 1 in k
4.517 * [backup-simplify]: Simplify 1 into 1
4.517 * [taylor]: Taking taylor expansion of k in k
4.517 * [backup-simplify]: Simplify 0 into 0
4.517 * [backup-simplify]: Simplify 1 into 1
4.517 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
4.517 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
4.517 * [taylor]: Taking taylor expansion of 2 in k
4.517 * [backup-simplify]: Simplify 2 into 2
4.517 * [taylor]: Taking taylor expansion of (* n PI) in k
4.517 * [taylor]: Taking taylor expansion of n in k
4.517 * [backup-simplify]: Simplify n into n
4.517 * [taylor]: Taking taylor expansion of PI in k
4.517 * [backup-simplify]: Simplify PI into PI
4.517 * [backup-simplify]: Simplify (* n PI) into (* n PI)
4.517 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
4.518 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
4.518 * [backup-simplify]: Simplify (- 0) into 0
4.518 * [backup-simplify]: Simplify (+ 1 0) into 1
4.519 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.519 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
4.519 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
4.519 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
4.519 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
4.519 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
4.519 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
4.519 * [taylor]: Taking taylor expansion of 1/2 in n
4.519 * [backup-simplify]: Simplify 1/2 into 1/2
4.519 * [taylor]: Taking taylor expansion of (- 1 k) in n
4.519 * [taylor]: Taking taylor expansion of 1 in n
4.519 * [backup-simplify]: Simplify 1 into 1
4.519 * [taylor]: Taking taylor expansion of k in n
4.519 * [backup-simplify]: Simplify k into k
4.519 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.519 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.519 * [taylor]: Taking taylor expansion of 2 in n
4.519 * [backup-simplify]: Simplify 2 into 2
4.519 * [taylor]: Taking taylor expansion of (* n PI) in n
4.519 * [taylor]: Taking taylor expansion of n in n
4.519 * [backup-simplify]: Simplify 0 into 0
4.519 * [backup-simplify]: Simplify 1 into 1
4.519 * [taylor]: Taking taylor expansion of PI in n
4.520 * [backup-simplify]: Simplify PI into PI
4.520 * [backup-simplify]: Simplify (* 0 PI) into 0
4.520 * [backup-simplify]: Simplify (* 2 0) into 0
4.522 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.523 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.524 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.524 * [backup-simplify]: Simplify (- k) into (- k)
4.524 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
4.524 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
4.526 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.527 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
4.528 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
4.528 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
4.528 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
4.528 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
4.528 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
4.528 * [taylor]: Taking taylor expansion of 1/2 in n
4.528 * [backup-simplify]: Simplify 1/2 into 1/2
4.528 * [taylor]: Taking taylor expansion of (- 1 k) in n
4.528 * [taylor]: Taking taylor expansion of 1 in n
4.528 * [backup-simplify]: Simplify 1 into 1
4.528 * [taylor]: Taking taylor expansion of k in n
4.528 * [backup-simplify]: Simplify k into k
4.528 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.528 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.528 * [taylor]: Taking taylor expansion of 2 in n
4.528 * [backup-simplify]: Simplify 2 into 2
4.528 * [taylor]: Taking taylor expansion of (* n PI) in n
4.528 * [taylor]: Taking taylor expansion of n in n
4.528 * [backup-simplify]: Simplify 0 into 0
4.528 * [backup-simplify]: Simplify 1 into 1
4.528 * [taylor]: Taking taylor expansion of PI in n
4.528 * [backup-simplify]: Simplify PI into PI
4.529 * [backup-simplify]: Simplify (* 0 PI) into 0
4.529 * [backup-simplify]: Simplify (* 2 0) into 0
4.530 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.532 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.533 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.533 * [backup-simplify]: Simplify (- k) into (- k)
4.533 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
4.533 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
4.534 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.536 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
4.537 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
4.537 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
4.537 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
4.537 * [taylor]: Taking taylor expansion of 1/2 in k
4.537 * [backup-simplify]: Simplify 1/2 into 1/2
4.537 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
4.537 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.537 * [taylor]: Taking taylor expansion of 1 in k
4.537 * [backup-simplify]: Simplify 1 into 1
4.537 * [taylor]: Taking taylor expansion of k in k
4.537 * [backup-simplify]: Simplify 0 into 0
4.537 * [backup-simplify]: Simplify 1 into 1
4.537 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
4.537 * [taylor]: Taking taylor expansion of (log n) in k
4.537 * [taylor]: Taking taylor expansion of n in k
4.537 * [backup-simplify]: Simplify n into n
4.537 * [backup-simplify]: Simplify (log n) into (log n)
4.537 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
4.538 * [taylor]: Taking taylor expansion of (* 2 PI) in k
4.538 * [taylor]: Taking taylor expansion of 2 in k
4.538 * [backup-simplify]: Simplify 2 into 2
4.538 * [taylor]: Taking taylor expansion of PI in k
4.538 * [backup-simplify]: Simplify PI into PI
4.538 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.539 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.540 * [backup-simplify]: Simplify (- 0) into 0
4.540 * [backup-simplify]: Simplify (+ 1 0) into 1
4.541 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.542 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
4.544 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
4.545 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
4.546 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
4.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
4.548 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
4.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.550 * [backup-simplify]: Simplify (- 0) into 0
4.550 * [backup-simplify]: Simplify (+ 0 0) into 0
4.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
4.552 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.553 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
4.555 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.555 * [taylor]: Taking taylor expansion of 0 in k
4.555 * [backup-simplify]: Simplify 0 into 0
4.556 * [backup-simplify]: Simplify 0 into 0
4.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
4.557 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.559 * [backup-simplify]: Simplify (+ 0 0) into 0
4.560 * [backup-simplify]: Simplify (- 1) into -1
4.560 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.562 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
4.564 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
4.567 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
4.574 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
4.575 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
4.576 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
4.579 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
4.580 * [backup-simplify]: Simplify (- 0) into 0
4.580 * [backup-simplify]: Simplify (+ 0 0) into 0
4.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
4.582 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.583 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
4.585 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.585 * [taylor]: Taking taylor expansion of 0 in k
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify 0 into 0
4.585 * [backup-simplify]: Simplify 0 into 0
4.587 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
4.587 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.589 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
4.589 * [backup-simplify]: Simplify (+ 0 0) into 0
4.590 * [backup-simplify]: Simplify (- 0) into 0
4.590 * [backup-simplify]: Simplify (+ 0 0) into 0
4.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
4.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
4.595 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
4.597 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
4.603 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
4.604 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
4.604 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
4.604 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
4.604 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
4.604 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
4.604 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
4.604 * [taylor]: Taking taylor expansion of 1/2 in k
4.604 * [backup-simplify]: Simplify 1/2 into 1/2
4.604 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
4.604 * [taylor]: Taking taylor expansion of 1 in k
4.604 * [backup-simplify]: Simplify 1 into 1
4.604 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.604 * [taylor]: Taking taylor expansion of k in k
4.604 * [backup-simplify]: Simplify 0 into 0
4.604 * [backup-simplify]: Simplify 1 into 1
4.604 * [backup-simplify]: Simplify (/ 1 1) into 1
4.604 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
4.604 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
4.604 * [taylor]: Taking taylor expansion of 2 in k
4.604 * [backup-simplify]: Simplify 2 into 2
4.604 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.604 * [taylor]: Taking taylor expansion of PI in k
4.604 * [backup-simplify]: Simplify PI into PI
4.604 * [taylor]: Taking taylor expansion of n in k
4.604 * [backup-simplify]: Simplify n into n
4.604 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.604 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
4.604 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
4.605 * [backup-simplify]: Simplify (- 1) into -1
4.605 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.605 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
4.605 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
4.605 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
4.605 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
4.605 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.605 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.605 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
4.605 * [taylor]: Taking taylor expansion of 1/2 in n
4.605 * [backup-simplify]: Simplify 1/2 into 1/2
4.605 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
4.605 * [taylor]: Taking taylor expansion of 1 in n
4.606 * [backup-simplify]: Simplify 1 into 1
4.606 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.606 * [taylor]: Taking taylor expansion of k in n
4.606 * [backup-simplify]: Simplify k into k
4.606 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.606 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.606 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.606 * [taylor]: Taking taylor expansion of 2 in n
4.606 * [backup-simplify]: Simplify 2 into 2
4.606 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.606 * [taylor]: Taking taylor expansion of PI in n
4.606 * [backup-simplify]: Simplify PI into PI
4.606 * [taylor]: Taking taylor expansion of n in n
4.606 * [backup-simplify]: Simplify 0 into 0
4.606 * [backup-simplify]: Simplify 1 into 1
4.606 * [backup-simplify]: Simplify (/ PI 1) into PI
4.606 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.607 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.607 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
4.607 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
4.607 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
4.608 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.609 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
4.609 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.609 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
4.609 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.609 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.609 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
4.609 * [taylor]: Taking taylor expansion of 1/2 in n
4.609 * [backup-simplify]: Simplify 1/2 into 1/2
4.609 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
4.609 * [taylor]: Taking taylor expansion of 1 in n
4.609 * [backup-simplify]: Simplify 1 into 1
4.609 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.609 * [taylor]: Taking taylor expansion of k in n
4.609 * [backup-simplify]: Simplify k into k
4.610 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.610 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.610 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.610 * [taylor]: Taking taylor expansion of 2 in n
4.610 * [backup-simplify]: Simplify 2 into 2
4.610 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.610 * [taylor]: Taking taylor expansion of PI in n
4.610 * [backup-simplify]: Simplify PI into PI
4.610 * [taylor]: Taking taylor expansion of n in n
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify 1 into 1
4.610 * [backup-simplify]: Simplify (/ PI 1) into PI
4.610 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.611 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.611 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
4.611 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
4.611 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
4.612 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.613 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
4.613 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.613 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
4.613 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
4.613 * [taylor]: Taking taylor expansion of 1/2 in k
4.613 * [backup-simplify]: Simplify 1/2 into 1/2
4.613 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
4.613 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
4.613 * [taylor]: Taking taylor expansion of 1 in k
4.613 * [backup-simplify]: Simplify 1 into 1
4.613 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.613 * [taylor]: Taking taylor expansion of k in k
4.613 * [backup-simplify]: Simplify 0 into 0
4.613 * [backup-simplify]: Simplify 1 into 1
4.614 * [backup-simplify]: Simplify (/ 1 1) into 1
4.614 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
4.614 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
4.614 * [taylor]: Taking taylor expansion of (* 2 PI) in k
4.614 * [taylor]: Taking taylor expansion of 2 in k
4.614 * [backup-simplify]: Simplify 2 into 2
4.614 * [taylor]: Taking taylor expansion of PI in k
4.614 * [backup-simplify]: Simplify PI into PI
4.614 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.615 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.615 * [taylor]: Taking taylor expansion of (log n) in k
4.615 * [taylor]: Taking taylor expansion of n in k
4.615 * [backup-simplify]: Simplify n into n
4.615 * [backup-simplify]: Simplify (log n) into (log n)
4.615 * [backup-simplify]: Simplify (- 1) into -1
4.615 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.615 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
4.616 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
4.617 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
4.618 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
4.619 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.620 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.621 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.623 * [backup-simplify]: Simplify (- 0) into 0
4.624 * [backup-simplify]: Simplify (+ 0 0) into 0
4.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
4.625 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.626 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
4.628 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.628 * [taylor]: Taking taylor expansion of 0 in k
4.628 * [backup-simplify]: Simplify 0 into 0
4.628 * [backup-simplify]: Simplify 0 into 0
4.628 * [backup-simplify]: Simplify 0 into 0
4.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.630 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.633 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
4.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.633 * [backup-simplify]: Simplify (- 0) into 0
4.634 * [backup-simplify]: Simplify (+ 0 0) into 0
4.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
4.636 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.637 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
4.639 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.639 * [taylor]: Taking taylor expansion of 0 in k
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify 0 into 0
4.639 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.641 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.646 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
4.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.647 * [backup-simplify]: Simplify (- 0) into 0
4.647 * [backup-simplify]: Simplify (+ 0 0) into 0
4.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
4.649 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.650 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
4.651 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.651 * [taylor]: Taking taylor expansion of 0 in k
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
4.653 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
4.653 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
4.653 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
4.653 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
4.653 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
4.653 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
4.653 * [taylor]: Taking taylor expansion of 1/2 in k
4.653 * [backup-simplify]: Simplify 1/2 into 1/2
4.653 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
4.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.653 * [taylor]: Taking taylor expansion of k in k
4.653 * [backup-simplify]: Simplify 0 into 0
4.653 * [backup-simplify]: Simplify 1 into 1
4.653 * [backup-simplify]: Simplify (/ 1 1) into 1
4.653 * [taylor]: Taking taylor expansion of 1 in k
4.653 * [backup-simplify]: Simplify 1 into 1
4.653 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
4.653 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
4.653 * [taylor]: Taking taylor expansion of -2 in k
4.653 * [backup-simplify]: Simplify -2 into -2
4.653 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.653 * [taylor]: Taking taylor expansion of PI in k
4.653 * [backup-simplify]: Simplify PI into PI
4.653 * [taylor]: Taking taylor expansion of n in k
4.653 * [backup-simplify]: Simplify n into n
4.654 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.654 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
4.654 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
4.654 * [backup-simplify]: Simplify (+ 1 0) into 1
4.654 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.654 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
4.654 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
4.654 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
4.654 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
4.654 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
4.654 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
4.654 * [taylor]: Taking taylor expansion of 1/2 in n
4.654 * [backup-simplify]: Simplify 1/2 into 1/2
4.654 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
4.654 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.655 * [taylor]: Taking taylor expansion of k in n
4.655 * [backup-simplify]: Simplify k into k
4.655 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.655 * [taylor]: Taking taylor expansion of 1 in n
4.655 * [backup-simplify]: Simplify 1 into 1
4.655 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
4.655 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.655 * [taylor]: Taking taylor expansion of -2 in n
4.655 * [backup-simplify]: Simplify -2 into -2
4.655 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.655 * [taylor]: Taking taylor expansion of PI in n
4.655 * [backup-simplify]: Simplify PI into PI
4.655 * [taylor]: Taking taylor expansion of n in n
4.655 * [backup-simplify]: Simplify 0 into 0
4.655 * [backup-simplify]: Simplify 1 into 1
4.655 * [backup-simplify]: Simplify (/ PI 1) into PI
4.655 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.656 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.656 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
4.656 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
4.657 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.658 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
4.658 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
4.658 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
4.658 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
4.658 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
4.658 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
4.658 * [taylor]: Taking taylor expansion of 1/2 in n
4.658 * [backup-simplify]: Simplify 1/2 into 1/2
4.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
4.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.658 * [taylor]: Taking taylor expansion of k in n
4.658 * [backup-simplify]: Simplify k into k
4.658 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.658 * [taylor]: Taking taylor expansion of 1 in n
4.659 * [backup-simplify]: Simplify 1 into 1
4.659 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
4.659 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.659 * [taylor]: Taking taylor expansion of -2 in n
4.659 * [backup-simplify]: Simplify -2 into -2
4.659 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.659 * [taylor]: Taking taylor expansion of PI in n
4.659 * [backup-simplify]: Simplify PI into PI
4.659 * [taylor]: Taking taylor expansion of n in n
4.659 * [backup-simplify]: Simplify 0 into 0
4.659 * [backup-simplify]: Simplify 1 into 1
4.659 * [backup-simplify]: Simplify (/ PI 1) into PI
4.659 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.660 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.660 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
4.660 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
4.661 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.662 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
4.662 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
4.662 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
4.662 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
4.662 * [taylor]: Taking taylor expansion of 1/2 in k
4.662 * [backup-simplify]: Simplify 1/2 into 1/2
4.662 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
4.662 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
4.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.662 * [taylor]: Taking taylor expansion of k in k
4.663 * [backup-simplify]: Simplify 0 into 0
4.663 * [backup-simplify]: Simplify 1 into 1
4.663 * [backup-simplify]: Simplify (/ 1 1) into 1
4.663 * [taylor]: Taking taylor expansion of 1 in k
4.663 * [backup-simplify]: Simplify 1 into 1
4.663 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
4.663 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
4.663 * [taylor]: Taking taylor expansion of (* -2 PI) in k
4.663 * [taylor]: Taking taylor expansion of -2 in k
4.663 * [backup-simplify]: Simplify -2 into -2
4.663 * [taylor]: Taking taylor expansion of PI in k
4.663 * [backup-simplify]: Simplify PI into PI
4.663 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.664 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.664 * [taylor]: Taking taylor expansion of (log n) in k
4.664 * [taylor]: Taking taylor expansion of n in k
4.664 * [backup-simplify]: Simplify n into n
4.664 * [backup-simplify]: Simplify (log n) into (log n)
4.664 * [backup-simplify]: Simplify (+ 1 0) into 1
4.664 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
4.665 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
4.666 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
4.666 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
4.667 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
4.668 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
4.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.669 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
4.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
4.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.670 * [backup-simplify]: Simplify (+ 0 0) into 0
4.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
4.671 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.672 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
4.678 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.678 * [taylor]: Taking taylor expansion of 0 in k
4.678 * [backup-simplify]: Simplify 0 into 0
4.678 * [backup-simplify]: Simplify 0 into 0
4.678 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.680 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
4.683 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
4.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.683 * [backup-simplify]: Simplify (+ 0 0) into 0
4.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
4.685 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.687 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
4.689 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.689 * [taylor]: Taking taylor expansion of 0 in k
4.689 * [backup-simplify]: Simplify 0 into 0
4.689 * [backup-simplify]: Simplify 0 into 0
4.689 * [backup-simplify]: Simplify 0 into 0
4.689 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.692 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.698 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
4.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.699 * [backup-simplify]: Simplify (+ 0 0) into 0
4.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
4.702 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.704 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
4.707 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.707 * [taylor]: Taking taylor expansion of 0 in k
4.707 * [backup-simplify]: Simplify 0 into 0
4.707 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
4.708 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
4.708 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
4.708 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
4.708 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.708 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.708 * [taylor]: Taking taylor expansion of k in k
4.708 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify 1 into 1
4.709 * [backup-simplify]: Simplify (/ 1 1) into 1
4.709 * [backup-simplify]: Simplify (sqrt 0) into 0
4.710 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.710 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.710 * [taylor]: Taking taylor expansion of k in k
4.710 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 1 into 1
4.711 * [backup-simplify]: Simplify (/ 1 1) into 1
4.711 * [backup-simplify]: Simplify (sqrt 0) into 0
4.712 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.712 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.716 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.716 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.720 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.720 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.720 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
4.720 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
4.720 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
4.720 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.720 * [taylor]: Taking taylor expansion of k in k
4.720 * [backup-simplify]: Simplify 0 into 0
4.720 * [backup-simplify]: Simplify 1 into 1
4.720 * [backup-simplify]: Simplify (sqrt 0) into 0
4.721 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.721 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.721 * [taylor]: Taking taylor expansion of k in k
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify 1 into 1
4.721 * [backup-simplify]: Simplify (sqrt 0) into 0
4.722 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.722 * [backup-simplify]: Simplify 0 into 0
4.722 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.724 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.724 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.726 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.727 * [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))))))))
4.727 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
4.727 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
4.727 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
4.727 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
4.727 * [taylor]: Taking taylor expansion of (/ -1 k) in k
4.727 * [taylor]: Taking taylor expansion of -1 in k
4.727 * [backup-simplify]: Simplify -1 into -1
4.727 * [taylor]: Taking taylor expansion of k in k
4.727 * [backup-simplify]: Simplify 0 into 0
4.727 * [backup-simplify]: Simplify 1 into 1
4.727 * [backup-simplify]: Simplify (/ -1 1) into -1
4.727 * [backup-simplify]: Simplify (sqrt 0) into 0
4.728 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
4.728 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
4.729 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
4.729 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
4.729 * [taylor]: Taking taylor expansion of (/ -1 k) in k
4.729 * [taylor]: Taking taylor expansion of -1 in k
4.729 * [backup-simplify]: Simplify -1 into -1
4.729 * [taylor]: Taking taylor expansion of k in k
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify 1 into 1
4.729 * [backup-simplify]: Simplify (/ -1 1) into -1
4.729 * [backup-simplify]: Simplify (sqrt 0) into 0
4.730 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
4.730 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
4.730 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.732 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.734 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
4.734 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.739 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
4.739 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.740 * [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)))))
4.740 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
4.740 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
4.740 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
4.740 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.740 * [taylor]: Taking taylor expansion of 2 in n
4.740 * [backup-simplify]: Simplify 2 into 2
4.740 * [taylor]: Taking taylor expansion of (* n PI) in n
4.740 * [taylor]: Taking taylor expansion of n in n
4.740 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify 1 into 1
4.740 * [taylor]: Taking taylor expansion of PI in n
4.740 * [backup-simplify]: Simplify PI into PI
4.740 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.740 * [taylor]: Taking taylor expansion of 2 in n
4.740 * [backup-simplify]: Simplify 2 into 2
4.740 * [taylor]: Taking taylor expansion of (* n PI) in n
4.740 * [taylor]: Taking taylor expansion of n in n
4.740 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify 1 into 1
4.740 * [taylor]: Taking taylor expansion of PI in n
4.740 * [backup-simplify]: Simplify PI into PI
4.741 * [backup-simplify]: Simplify (* 0 PI) into 0
4.741 * [backup-simplify]: Simplify (* 2 0) into 0
4.741 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.743 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.743 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
4.744 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
4.744 * [backup-simplify]: Simplify 0 into 0
4.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
4.746 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
4.746 * [backup-simplify]: Simplify 0 into 0
4.746 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
4.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
4.747 * [backup-simplify]: Simplify 0 into 0
4.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
4.750 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
4.750 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
4.753 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
4.753 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
4.756 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
4.756 * [backup-simplify]: Simplify 0 into 0
4.756 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
4.757 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
4.757 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
4.757 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.757 * [taylor]: Taking taylor expansion of 2 in n
4.757 * [backup-simplify]: Simplify 2 into 2
4.757 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.757 * [taylor]: Taking taylor expansion of PI in n
4.757 * [backup-simplify]: Simplify PI into PI
4.757 * [taylor]: Taking taylor expansion of n in n
4.757 * [backup-simplify]: Simplify 0 into 0
4.757 * [backup-simplify]: Simplify 1 into 1
4.757 * [backup-simplify]: Simplify (/ PI 1) into PI
4.757 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.757 * [taylor]: Taking taylor expansion of 2 in n
4.757 * [backup-simplify]: Simplify 2 into 2
4.757 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.757 * [taylor]: Taking taylor expansion of PI in n
4.757 * [backup-simplify]: Simplify PI into PI
4.757 * [taylor]: Taking taylor expansion of n in n
4.757 * [backup-simplify]: Simplify 0 into 0
4.757 * [backup-simplify]: Simplify 1 into 1
4.758 * [backup-simplify]: Simplify (/ PI 1) into PI
4.758 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.758 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.759 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.759 * [backup-simplify]: Simplify 0 into 0
4.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.761 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.761 * [backup-simplify]: Simplify 0 into 0
4.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.762 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.762 * [backup-simplify]: Simplify 0 into 0
4.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.763 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
4.763 * [backup-simplify]: Simplify 0 into 0
4.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.765 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
4.765 * [backup-simplify]: Simplify 0 into 0
4.766 * [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
4.767 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
4.767 * [backup-simplify]: Simplify 0 into 0
4.768 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
4.768 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
4.768 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
4.768 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.768 * [taylor]: Taking taylor expansion of -2 in n
4.768 * [backup-simplify]: Simplify -2 into -2
4.768 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.768 * [taylor]: Taking taylor expansion of PI in n
4.768 * [backup-simplify]: Simplify PI into PI
4.768 * [taylor]: Taking taylor expansion of n in n
4.768 * [backup-simplify]: Simplify 0 into 0
4.768 * [backup-simplify]: Simplify 1 into 1
4.768 * [backup-simplify]: Simplify (/ PI 1) into PI
4.768 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.768 * [taylor]: Taking taylor expansion of -2 in n
4.768 * [backup-simplify]: Simplify -2 into -2
4.768 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.769 * [taylor]: Taking taylor expansion of PI in n
4.769 * [backup-simplify]: Simplify PI into PI
4.769 * [taylor]: Taking taylor expansion of n in n
4.769 * [backup-simplify]: Simplify 0 into 0
4.769 * [backup-simplify]: Simplify 1 into 1
4.769 * [backup-simplify]: Simplify (/ PI 1) into PI
4.769 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.770 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.770 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
4.771 * [backup-simplify]: Simplify 0 into 0
4.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.772 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.773 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.773 * [backup-simplify]: Simplify 0 into 0
4.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.775 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
4.775 * [backup-simplify]: Simplify 0 into 0
4.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.776 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
4.776 * [backup-simplify]: Simplify 0 into 0
4.777 * [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
4.778 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
4.778 * [backup-simplify]: Simplify 0 into 0
4.778 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
4.778 * * * * [progress]: [ 4 / 4 ] generating series at (2)
4.778 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
4.778 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
4.778 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
4.779 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
4.779 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
4.779 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
4.779 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
4.779 * [taylor]: Taking taylor expansion of 1/2 in n
4.779 * [backup-simplify]: Simplify 1/2 into 1/2
4.779 * [taylor]: Taking taylor expansion of (- 1 k) in n
4.779 * [taylor]: Taking taylor expansion of 1 in n
4.779 * [backup-simplify]: Simplify 1 into 1
4.779 * [taylor]: Taking taylor expansion of k in n
4.779 * [backup-simplify]: Simplify k into k
4.779 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.779 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.779 * [taylor]: Taking taylor expansion of 2 in n
4.779 * [backup-simplify]: Simplify 2 into 2
4.779 * [taylor]: Taking taylor expansion of (* n PI) in n
4.779 * [taylor]: Taking taylor expansion of n in n
4.779 * [backup-simplify]: Simplify 0 into 0
4.779 * [backup-simplify]: Simplify 1 into 1
4.779 * [taylor]: Taking taylor expansion of PI in n
4.779 * [backup-simplify]: Simplify PI into PI
4.779 * [backup-simplify]: Simplify (* 0 PI) into 0
4.779 * [backup-simplify]: Simplify (* 2 0) into 0
4.785 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.786 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.787 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.787 * [backup-simplify]: Simplify (- k) into (- k)
4.787 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
4.787 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
4.788 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.789 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
4.790 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
4.790 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
4.790 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.790 * [taylor]: Taking taylor expansion of k in n
4.790 * [backup-simplify]: Simplify k into k
4.790 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.790 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
4.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
4.791 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
4.791 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
4.791 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
4.791 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
4.791 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
4.791 * [taylor]: Taking taylor expansion of 1/2 in k
4.791 * [backup-simplify]: Simplify 1/2 into 1/2
4.791 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.791 * [taylor]: Taking taylor expansion of 1 in k
4.791 * [backup-simplify]: Simplify 1 into 1
4.791 * [taylor]: Taking taylor expansion of k in k
4.791 * [backup-simplify]: Simplify 0 into 0
4.791 * [backup-simplify]: Simplify 1 into 1
4.791 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
4.791 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
4.791 * [taylor]: Taking taylor expansion of 2 in k
4.791 * [backup-simplify]: Simplify 2 into 2
4.791 * [taylor]: Taking taylor expansion of (* n PI) in k
4.791 * [taylor]: Taking taylor expansion of n in k
4.791 * [backup-simplify]: Simplify n into n
4.791 * [taylor]: Taking taylor expansion of PI in k
4.791 * [backup-simplify]: Simplify PI into PI
4.791 * [backup-simplify]: Simplify (* n PI) into (* n PI)
4.791 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
4.791 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
4.792 * [backup-simplify]: Simplify (- 0) into 0
4.792 * [backup-simplify]: Simplify (+ 1 0) into 1
4.793 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.793 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
4.793 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
4.793 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.793 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.793 * [taylor]: Taking taylor expansion of k in k
4.793 * [backup-simplify]: Simplify 0 into 0
4.793 * [backup-simplify]: Simplify 1 into 1
4.793 * [backup-simplify]: Simplify (/ 1 1) into 1
4.794 * [backup-simplify]: Simplify (sqrt 0) into 0
4.795 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.795 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
4.795 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
4.795 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
4.795 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
4.795 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
4.795 * [taylor]: Taking taylor expansion of 1/2 in k
4.795 * [backup-simplify]: Simplify 1/2 into 1/2
4.795 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.795 * [taylor]: Taking taylor expansion of 1 in k
4.795 * [backup-simplify]: Simplify 1 into 1
4.795 * [taylor]: Taking taylor expansion of k in k
4.795 * [backup-simplify]: Simplify 0 into 0
4.795 * [backup-simplify]: Simplify 1 into 1
4.795 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
4.795 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
4.795 * [taylor]: Taking taylor expansion of 2 in k
4.795 * [backup-simplify]: Simplify 2 into 2
4.795 * [taylor]: Taking taylor expansion of (* n PI) in k
4.795 * [taylor]: Taking taylor expansion of n in k
4.795 * [backup-simplify]: Simplify n into n
4.795 * [taylor]: Taking taylor expansion of PI in k
4.796 * [backup-simplify]: Simplify PI into PI
4.796 * [backup-simplify]: Simplify (* n PI) into (* n PI)
4.796 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
4.796 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
4.796 * [backup-simplify]: Simplify (- 0) into 0
4.796 * [backup-simplify]: Simplify (+ 1 0) into 1
4.797 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.797 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
4.797 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
4.797 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.797 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.797 * [taylor]: Taking taylor expansion of k in k
4.797 * [backup-simplify]: Simplify 0 into 0
4.797 * [backup-simplify]: Simplify 1 into 1
4.798 * [backup-simplify]: Simplify (/ 1 1) into 1
4.798 * [backup-simplify]: Simplify (sqrt 0) into 0
4.799 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.800 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
4.800 * [taylor]: Taking taylor expansion of 0 in n
4.800 * [backup-simplify]: Simplify 0 into 0
4.800 * [backup-simplify]: Simplify 0 into 0
4.800 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
4.801 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
4.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
4.802 * [backup-simplify]: Simplify (- 1) into -1
4.802 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.803 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
4.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
4.804 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
4.804 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
4.804 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
4.804 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
4.804 * [taylor]: Taking taylor expansion of +nan.0 in n
4.804 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.804 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
4.804 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.804 * [taylor]: Taking taylor expansion of 2 in n
4.805 * [backup-simplify]: Simplify 2 into 2
4.805 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.806 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.806 * [taylor]: Taking taylor expansion of (* n PI) in n
4.806 * [taylor]: Taking taylor expansion of n in n
4.806 * [backup-simplify]: Simplify 0 into 0
4.806 * [backup-simplify]: Simplify 1 into 1
4.806 * [taylor]: Taking taylor expansion of PI in n
4.806 * [backup-simplify]: Simplify PI into PI
4.806 * [backup-simplify]: Simplify (* 0 PI) into 0
4.807 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.808 * [backup-simplify]: Simplify (sqrt 0) into 0
4.809 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.810 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
4.810 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.811 * [backup-simplify]: Simplify (- 0) into 0
4.811 * [backup-simplify]: Simplify 0 into 0
4.811 * [backup-simplify]: Simplify 0 into 0
4.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.814 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.815 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
4.816 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
4.817 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
4.818 * [backup-simplify]: Simplify (- 0) into 0
4.818 * [backup-simplify]: Simplify (+ 0 0) into 0
4.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
4.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
4.821 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
4.822 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
4.822 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
4.822 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
4.822 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
4.822 * [taylor]: Taking taylor expansion of +nan.0 in n
4.822 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.822 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
4.822 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
4.822 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.822 * [taylor]: Taking taylor expansion of 2 in n
4.822 * [backup-simplify]: Simplify 2 into 2
4.822 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.823 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.823 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.823 * [taylor]: Taking taylor expansion of 2 in n
4.823 * [backup-simplify]: Simplify 2 into 2
4.823 * [taylor]: Taking taylor expansion of (* n PI) in n
4.823 * [taylor]: Taking taylor expansion of n in n
4.823 * [backup-simplify]: Simplify 0 into 0
4.823 * [backup-simplify]: Simplify 1 into 1
4.823 * [taylor]: Taking taylor expansion of PI in n
4.823 * [backup-simplify]: Simplify PI into PI
4.824 * [backup-simplify]: Simplify (* 0 PI) into 0
4.824 * [backup-simplify]: Simplify (* 2 0) into 0
4.825 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.827 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.828 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.828 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.828 * [taylor]: Taking taylor expansion of (* n PI) in n
4.828 * [taylor]: Taking taylor expansion of n in n
4.828 * [backup-simplify]: Simplify 0 into 0
4.828 * [backup-simplify]: Simplify 1 into 1
4.828 * [taylor]: Taking taylor expansion of PI in n
4.828 * [backup-simplify]: Simplify PI into PI
4.828 * [backup-simplify]: Simplify (* 0 PI) into 0
4.830 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.830 * [backup-simplify]: Simplify (sqrt 0) into 0
4.831 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.831 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
4.831 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
4.831 * [taylor]: Taking taylor expansion of +nan.0 in n
4.831 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.831 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
4.831 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.831 * [taylor]: Taking taylor expansion of 2 in n
4.831 * [backup-simplify]: Simplify 2 into 2
4.832 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.832 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.832 * [taylor]: Taking taylor expansion of (* n PI) in n
4.832 * [taylor]: Taking taylor expansion of n in n
4.832 * [backup-simplify]: Simplify 0 into 0
4.832 * [backup-simplify]: Simplify 1 into 1
4.832 * [taylor]: Taking taylor expansion of PI in n
4.833 * [backup-simplify]: Simplify PI into PI
4.833 * [backup-simplify]: Simplify (* 0 PI) into 0
4.834 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.835 * [backup-simplify]: Simplify (sqrt 0) into 0
4.836 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.837 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.838 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
4.840 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
4.840 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.841 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
4.841 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.841 * [backup-simplify]: Simplify (- 0) into 0
4.842 * [backup-simplify]: Simplify (+ 0 0) into 0
4.842 * [backup-simplify]: Simplify (- 0) into 0
4.842 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
4.850 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
4.852 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
4.854 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
4.854 * [backup-simplify]: Simplify 0 into 0
4.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.858 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.859 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
4.860 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
4.861 * [backup-simplify]: Simplify (- 0) into 0
4.861 * [backup-simplify]: Simplify (+ 0 0) into 0
4.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
4.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
4.863 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
4.864 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
4.864 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
4.864 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
4.864 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
4.864 * [taylor]: Taking taylor expansion of +nan.0 in n
4.864 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.864 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
4.864 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
4.864 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.864 * [taylor]: Taking taylor expansion of 2 in n
4.864 * [backup-simplify]: Simplify 2 into 2
4.865 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.865 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.865 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.865 * [taylor]: Taking taylor expansion of 2 in n
4.865 * [backup-simplify]: Simplify 2 into 2
4.865 * [taylor]: Taking taylor expansion of (* n PI) in n
4.865 * [taylor]: Taking taylor expansion of n in n
4.865 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify 1 into 1
4.865 * [taylor]: Taking taylor expansion of PI in n
4.865 * [backup-simplify]: Simplify PI into PI
4.865 * [backup-simplify]: Simplify (* 0 PI) into 0
4.866 * [backup-simplify]: Simplify (* 2 0) into 0
4.867 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.868 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.868 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.868 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.868 * [taylor]: Taking taylor expansion of (* n PI) in n
4.868 * [taylor]: Taking taylor expansion of n in n
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [backup-simplify]: Simplify 1 into 1
4.868 * [taylor]: Taking taylor expansion of PI in n
4.868 * [backup-simplify]: Simplify PI into PI
4.869 * [backup-simplify]: Simplify (* 0 PI) into 0
4.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.870 * [backup-simplify]: Simplify (sqrt 0) into 0
4.871 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.871 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
4.871 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
4.871 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
4.871 * [taylor]: Taking taylor expansion of +nan.0 in n
4.871 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.871 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
4.871 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.871 * [taylor]: Taking taylor expansion of 2 in n
4.871 * [backup-simplify]: Simplify 2 into 2
4.871 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.872 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.872 * [taylor]: Taking taylor expansion of (* n PI) in n
4.872 * [taylor]: Taking taylor expansion of n in n
4.872 * [backup-simplify]: Simplify 0 into 0
4.872 * [backup-simplify]: Simplify 1 into 1
4.872 * [taylor]: Taking taylor expansion of PI in n
4.872 * [backup-simplify]: Simplify PI into PI
4.872 * [backup-simplify]: Simplify (* 0 PI) into 0
4.874 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.875 * [backup-simplify]: Simplify (sqrt 0) into 0
4.876 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.876 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
4.876 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
4.877 * [taylor]: Taking taylor expansion of +nan.0 in n
4.877 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.877 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
4.877 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
4.877 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.877 * [taylor]: Taking taylor expansion of 2 in n
4.877 * [backup-simplify]: Simplify 2 into 2
4.877 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.878 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
4.878 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.878 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.878 * [taylor]: Taking taylor expansion of 2 in n
4.878 * [backup-simplify]: Simplify 2 into 2
4.878 * [taylor]: Taking taylor expansion of (* n PI) in n
4.878 * [taylor]: Taking taylor expansion of n in n
4.878 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify 1 into 1
4.878 * [taylor]: Taking taylor expansion of PI in n
4.878 * [backup-simplify]: Simplify PI into PI
4.879 * [backup-simplify]: Simplify (* 0 PI) into 0
4.879 * [backup-simplify]: Simplify (* 2 0) into 0
4.881 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.883 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.884 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.885 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.885 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.885 * [taylor]: Taking taylor expansion of (* n PI) in n
4.886 * [taylor]: Taking taylor expansion of n in n
4.886 * [backup-simplify]: Simplify 0 into 0
4.886 * [backup-simplify]: Simplify 1 into 1
4.886 * [taylor]: Taking taylor expansion of PI in n
4.886 * [backup-simplify]: Simplify PI into PI
4.886 * [backup-simplify]: Simplify (* 0 PI) into 0
4.888 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.888 * [backup-simplify]: Simplify (sqrt 0) into 0
4.889 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.891 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.892 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
4.894 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
4.894 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.895 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
4.895 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.896 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.898 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.900 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
4.901 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
4.903 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
4.903 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.904 * [backup-simplify]: Simplify (- 0) into 0
4.904 * [backup-simplify]: Simplify (+ 0 0) into 0
4.905 * [backup-simplify]: Simplify (- 0) into 0
4.905 * [backup-simplify]: Simplify (+ 0 0) into 0
4.905 * [backup-simplify]: Simplify (- 0) into 0
4.905 * [backup-simplify]: Simplify 0 into 0
4.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
4.907 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
4.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.915 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.916 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
4.918 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
4.921 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
4.923 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
4.926 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
4.928 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
4.932 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
4.937 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
4.941 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
4.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
4.945 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
4.946 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
4.951 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
4.960 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
4.965 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
4.968 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
4.979 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
4.980 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
4.980 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
4.980 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
4.980 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
4.980 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.980 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.980 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
4.980 * [taylor]: Taking taylor expansion of 1/2 in n
4.980 * [backup-simplify]: Simplify 1/2 into 1/2
4.980 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
4.980 * [taylor]: Taking taylor expansion of 1 in n
4.980 * [backup-simplify]: Simplify 1 into 1
4.980 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.980 * [taylor]: Taking taylor expansion of k in n
4.980 * [backup-simplify]: Simplify k into k
4.980 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.980 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.980 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.980 * [taylor]: Taking taylor expansion of 2 in n
4.980 * [backup-simplify]: Simplify 2 into 2
4.980 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.980 * [taylor]: Taking taylor expansion of PI in n
4.980 * [backup-simplify]: Simplify PI into PI
4.980 * [taylor]: Taking taylor expansion of n in n
4.980 * [backup-simplify]: Simplify 0 into 0
4.980 * [backup-simplify]: Simplify 1 into 1
4.981 * [backup-simplify]: Simplify (/ PI 1) into PI
4.981 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.981 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.982 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
4.982 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
4.982 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
4.983 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.983 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
4.984 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.984 * [taylor]: Taking taylor expansion of (sqrt k) in n
4.984 * [taylor]: Taking taylor expansion of k in n
4.984 * [backup-simplify]: Simplify k into k
4.984 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
4.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
4.984 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
4.984 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
4.984 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
4.984 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
4.984 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
4.984 * [taylor]: Taking taylor expansion of 1/2 in k
4.984 * [backup-simplify]: Simplify 1/2 into 1/2
4.984 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
4.984 * [taylor]: Taking taylor expansion of 1 in k
4.984 * [backup-simplify]: Simplify 1 into 1
4.984 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.984 * [taylor]: Taking taylor expansion of k in k
4.984 * [backup-simplify]: Simplify 0 into 0
4.984 * [backup-simplify]: Simplify 1 into 1
4.984 * [backup-simplify]: Simplify (/ 1 1) into 1
4.984 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
4.985 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
4.985 * [taylor]: Taking taylor expansion of 2 in k
4.985 * [backup-simplify]: Simplify 2 into 2
4.985 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.985 * [taylor]: Taking taylor expansion of PI in k
4.985 * [backup-simplify]: Simplify PI into PI
4.985 * [taylor]: Taking taylor expansion of n in k
4.985 * [backup-simplify]: Simplify n into n
4.985 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.985 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
4.985 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
4.985 * [backup-simplify]: Simplify (- 1) into -1
4.985 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.986 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
4.986 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
4.986 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
4.986 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.986 * [taylor]: Taking taylor expansion of k in k
4.986 * [backup-simplify]: Simplify 0 into 0
4.986 * [backup-simplify]: Simplify 1 into 1
4.986 * [backup-simplify]: Simplify (sqrt 0) into 0
4.987 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.987 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
4.987 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
4.987 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
4.987 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
4.987 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
4.987 * [taylor]: Taking taylor expansion of 1/2 in k
4.987 * [backup-simplify]: Simplify 1/2 into 1/2
4.987 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
4.987 * [taylor]: Taking taylor expansion of 1 in k
4.987 * [backup-simplify]: Simplify 1 into 1
4.987 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.987 * [taylor]: Taking taylor expansion of k in k
4.987 * [backup-simplify]: Simplify 0 into 0
4.987 * [backup-simplify]: Simplify 1 into 1
4.987 * [backup-simplify]: Simplify (/ 1 1) into 1
4.987 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
4.987 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
4.987 * [taylor]: Taking taylor expansion of 2 in k
4.988 * [backup-simplify]: Simplify 2 into 2
4.988 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.988 * [taylor]: Taking taylor expansion of PI in k
4.988 * [backup-simplify]: Simplify PI into PI
4.988 * [taylor]: Taking taylor expansion of n in k
4.988 * [backup-simplify]: Simplify n into n
4.988 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.988 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
4.988 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
4.988 * [backup-simplify]: Simplify (- 1) into -1
4.988 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.989 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
4.989 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
4.989 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
4.989 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.989 * [taylor]: Taking taylor expansion of k in k
4.989 * [backup-simplify]: Simplify 0 into 0
4.989 * [backup-simplify]: Simplify 1 into 1
4.989 * [backup-simplify]: Simplify (sqrt 0) into 0
4.990 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.990 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
4.990 * [taylor]: Taking taylor expansion of 0 in n
4.990 * [backup-simplify]: Simplify 0 into 0
4.990 * [backup-simplify]: Simplify 0 into 0
4.990 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
4.991 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
4.991 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
4.991 * [taylor]: Taking taylor expansion of +nan.0 in n
4.991 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.991 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
4.991 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
4.991 * [taylor]: Taking taylor expansion of 1/2 in n
4.991 * [backup-simplify]: Simplify 1/2 into 1/2
4.991 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
4.991 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
4.991 * [taylor]: Taking taylor expansion of 1 in n
4.991 * [backup-simplify]: Simplify 1 into 1
4.991 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.991 * [taylor]: Taking taylor expansion of k in n
4.991 * [backup-simplify]: Simplify k into k
4.991 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.991 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.991 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.991 * [taylor]: Taking taylor expansion of 2 in n
4.991 * [backup-simplify]: Simplify 2 into 2
4.991 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.991 * [taylor]: Taking taylor expansion of PI in n
4.991 * [backup-simplify]: Simplify PI into PI
4.991 * [taylor]: Taking taylor expansion of n in n
4.991 * [backup-simplify]: Simplify 0 into 0
4.991 * [backup-simplify]: Simplify 1 into 1
4.991 * [backup-simplify]: Simplify (/ PI 1) into PI
4.992 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.992 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.992 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
4.992 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
4.993 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.994 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
4.995 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
4.995 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.996 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
4.997 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
4.997 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
4.998 * [backup-simplify]: Simplify 0 into 0
4.999 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.000 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
5.000 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
5.000 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
5.000 * [taylor]: Taking taylor expansion of +nan.0 in n
5.000 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.000 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
5.000 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
5.000 * [taylor]: Taking taylor expansion of 1/2 in n
5.000 * [backup-simplify]: Simplify 1/2 into 1/2
5.000 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
5.000 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.000 * [taylor]: Taking taylor expansion of 1 in n
5.000 * [backup-simplify]: Simplify 1 into 1
5.000 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.000 * [taylor]: Taking taylor expansion of k in n
5.000 * [backup-simplify]: Simplify k into k
5.000 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.000 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.000 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.000 * [taylor]: Taking taylor expansion of 2 in n
5.000 * [backup-simplify]: Simplify 2 into 2
5.000 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.000 * [taylor]: Taking taylor expansion of PI in n
5.000 * [backup-simplify]: Simplify PI into PI
5.000 * [taylor]: Taking taylor expansion of n in n
5.000 * [backup-simplify]: Simplify 0 into 0
5.000 * [backup-simplify]: Simplify 1 into 1
5.001 * [backup-simplify]: Simplify (/ PI 1) into PI
5.001 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.001 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.002 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.002 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.002 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.003 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
5.004 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.004 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.005 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.006 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.007 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.008 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.016 * [backup-simplify]: Simplify (- 0) into 0
5.017 * [backup-simplify]: Simplify (+ 0 0) into 0
5.018 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.019 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
5.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
5.023 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.025 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
5.025 * [backup-simplify]: Simplify (- 0) into 0
5.025 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify 0 into 0
5.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.030 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
5.030 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
5.030 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
5.031 * [taylor]: Taking taylor expansion of +nan.0 in n
5.031 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.031 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
5.031 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
5.031 * [taylor]: Taking taylor expansion of 1/2 in n
5.031 * [backup-simplify]: Simplify 1/2 into 1/2
5.031 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
5.031 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.031 * [taylor]: Taking taylor expansion of 1 in n
5.031 * [backup-simplify]: Simplify 1 into 1
5.031 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.031 * [taylor]: Taking taylor expansion of k in n
5.031 * [backup-simplify]: Simplify k into k
5.031 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.031 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.031 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.031 * [taylor]: Taking taylor expansion of 2 in n
5.031 * [backup-simplify]: Simplify 2 into 2
5.031 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.031 * [taylor]: Taking taylor expansion of PI in n
5.031 * [backup-simplify]: Simplify PI into PI
5.031 * [taylor]: Taking taylor expansion of n in n
5.031 * [backup-simplify]: Simplify 0 into 0
5.031 * [backup-simplify]: Simplify 1 into 1
5.032 * [backup-simplify]: Simplify (/ PI 1) into PI
5.032 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.033 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.033 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.033 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.035 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.036 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
5.036 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.037 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.038 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.038 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.039 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.041 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
5.042 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
5.042 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
5.042 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
5.042 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.042 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.042 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.042 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.042 * [taylor]: Taking taylor expansion of 1/2 in n
5.042 * [backup-simplify]: Simplify 1/2 into 1/2
5.042 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.042 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.042 * [taylor]: Taking taylor expansion of k in n
5.042 * [backup-simplify]: Simplify k into k
5.042 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.042 * [taylor]: Taking taylor expansion of 1 in n
5.042 * [backup-simplify]: Simplify 1 into 1
5.042 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.042 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.042 * [taylor]: Taking taylor expansion of -2 in n
5.042 * [backup-simplify]: Simplify -2 into -2
5.042 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.042 * [taylor]: Taking taylor expansion of PI in n
5.042 * [backup-simplify]: Simplify PI into PI
5.042 * [taylor]: Taking taylor expansion of n in n
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.043 * [backup-simplify]: Simplify (/ PI 1) into PI
5.043 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.043 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.044 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.044 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.044 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.045 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.046 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.046 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
5.046 * [taylor]: Taking taylor expansion of (/ -1 k) in n
5.046 * [taylor]: Taking taylor expansion of -1 in n
5.046 * [backup-simplify]: Simplify -1 into -1
5.046 * [taylor]: Taking taylor expansion of k in n
5.046 * [backup-simplify]: Simplify k into k
5.046 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
5.046 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
5.046 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
5.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
5.047 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
5.047 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
5.047 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.047 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.047 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.047 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.047 * [taylor]: Taking taylor expansion of 1/2 in k
5.047 * [backup-simplify]: Simplify 1/2 into 1/2
5.047 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.047 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.047 * [taylor]: Taking taylor expansion of k in k
5.047 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify 1 into 1
5.047 * [backup-simplify]: Simplify (/ 1 1) into 1
5.047 * [taylor]: Taking taylor expansion of 1 in k
5.047 * [backup-simplify]: Simplify 1 into 1
5.047 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.047 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.047 * [taylor]: Taking taylor expansion of -2 in k
5.047 * [backup-simplify]: Simplify -2 into -2
5.047 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.047 * [taylor]: Taking taylor expansion of PI in k
5.047 * [backup-simplify]: Simplify PI into PI
5.047 * [taylor]: Taking taylor expansion of n in k
5.047 * [backup-simplify]: Simplify n into n
5.047 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.048 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.048 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.048 * [backup-simplify]: Simplify (+ 1 0) into 1
5.048 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.048 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.048 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.048 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.048 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.048 * [taylor]: Taking taylor expansion of -1 in k
5.048 * [backup-simplify]: Simplify -1 into -1
5.048 * [taylor]: Taking taylor expansion of k in k
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [backup-simplify]: Simplify 1 into 1
5.049 * [backup-simplify]: Simplify (/ -1 1) into -1
5.049 * [backup-simplify]: Simplify (sqrt 0) into 0
5.050 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.050 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
5.050 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
5.050 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.050 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.050 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.050 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.050 * [taylor]: Taking taylor expansion of 1/2 in k
5.050 * [backup-simplify]: Simplify 1/2 into 1/2
5.050 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.050 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.050 * [taylor]: Taking taylor expansion of k in k
5.050 * [backup-simplify]: Simplify 0 into 0
5.050 * [backup-simplify]: Simplify 1 into 1
5.050 * [backup-simplify]: Simplify (/ 1 1) into 1
5.050 * [taylor]: Taking taylor expansion of 1 in k
5.050 * [backup-simplify]: Simplify 1 into 1
5.050 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.050 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.050 * [taylor]: Taking taylor expansion of -2 in k
5.050 * [backup-simplify]: Simplify -2 into -2
5.050 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.050 * [taylor]: Taking taylor expansion of PI in k
5.050 * [backup-simplify]: Simplify PI into PI
5.050 * [taylor]: Taking taylor expansion of n in k
5.050 * [backup-simplify]: Simplify n into n
5.051 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.051 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.051 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.051 * [backup-simplify]: Simplify (+ 1 0) into 1
5.051 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.051 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.051 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.051 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.051 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.051 * [taylor]: Taking taylor expansion of -1 in k
5.051 * [backup-simplify]: Simplify -1 into -1
5.051 * [taylor]: Taking taylor expansion of k in k
5.051 * [backup-simplify]: Simplify 0 into 0
5.051 * [backup-simplify]: Simplify 1 into 1
5.052 * [backup-simplify]: Simplify (/ -1 1) into -1
5.052 * [backup-simplify]: Simplify (sqrt 0) into 0
5.053 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.053 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
5.053 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.053 * [taylor]: Taking taylor expansion of +nan.0 in n
5.053 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.053 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.053 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.053 * [taylor]: Taking taylor expansion of 1/2 in n
5.053 * [backup-simplify]: Simplify 1/2 into 1/2
5.053 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.053 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.053 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.053 * [taylor]: Taking taylor expansion of -2 in n
5.053 * [backup-simplify]: Simplify -2 into -2
5.053 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.053 * [taylor]: Taking taylor expansion of PI in n
5.053 * [backup-simplify]: Simplify PI into PI
5.053 * [taylor]: Taking taylor expansion of n in n
5.053 * [backup-simplify]: Simplify 0 into 0
5.053 * [backup-simplify]: Simplify 1 into 1
5.054 * [backup-simplify]: Simplify (/ PI 1) into PI
5.054 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.055 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.055 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.055 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.055 * [taylor]: Taking taylor expansion of k in n
5.055 * [backup-simplify]: Simplify k into k
5.055 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.055 * [taylor]: Taking taylor expansion of 1 in n
5.055 * [backup-simplify]: Simplify 1 into 1
5.056 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.056 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.056 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.057 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.058 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.058 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.059 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.061 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.062 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
5.062 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
5.062 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.062 * [taylor]: Taking taylor expansion of +nan.0 in n
5.062 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.062 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.062 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.062 * [taylor]: Taking taylor expansion of 1/2 in n
5.062 * [backup-simplify]: Simplify 1/2 into 1/2
5.062 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.062 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.062 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.062 * [taylor]: Taking taylor expansion of -2 in n
5.062 * [backup-simplify]: Simplify -2 into -2
5.062 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.062 * [taylor]: Taking taylor expansion of PI in n
5.062 * [backup-simplify]: Simplify PI into PI
5.062 * [taylor]: Taking taylor expansion of n in n
5.062 * [backup-simplify]: Simplify 0 into 0
5.062 * [backup-simplify]: Simplify 1 into 1
5.063 * [backup-simplify]: Simplify (/ PI 1) into PI
5.063 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.064 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.064 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.064 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.064 * [taylor]: Taking taylor expansion of k in n
5.064 * [backup-simplify]: Simplify k into k
5.064 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.064 * [taylor]: Taking taylor expansion of 1 in n
5.064 * [backup-simplify]: Simplify 1 into 1
5.064 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.065 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.065 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.066 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.067 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.067 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.068 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.070 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.071 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.072 * [backup-simplify]: Simplify (+ 0 0) into 0
5.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.073 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
5.077 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
5.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
5.080 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.082 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
5.082 * [backup-simplify]: Simplify 0 into 0
5.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.089 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
5.090 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
5.090 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.090 * [taylor]: Taking taylor expansion of +nan.0 in n
5.090 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.090 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.090 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.090 * [taylor]: Taking taylor expansion of 1/2 in n
5.090 * [backup-simplify]: Simplify 1/2 into 1/2
5.090 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.090 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.090 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.090 * [taylor]: Taking taylor expansion of -2 in n
5.090 * [backup-simplify]: Simplify -2 into -2
5.090 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.090 * [taylor]: Taking taylor expansion of PI in n
5.090 * [backup-simplify]: Simplify PI into PI
5.090 * [taylor]: Taking taylor expansion of n in n
5.090 * [backup-simplify]: Simplify 0 into 0
5.090 * [backup-simplify]: Simplify 1 into 1
5.091 * [backup-simplify]: Simplify (/ PI 1) into PI
5.091 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.092 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.092 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.092 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.092 * [taylor]: Taking taylor expansion of k in n
5.092 * [backup-simplify]: Simplify k into k
5.092 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.092 * [taylor]: Taking taylor expansion of 1 in n
5.092 * [backup-simplify]: Simplify 1 into 1
5.094 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.094 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.095 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.096 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.098 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.099 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.100 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.102 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.107 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
5.107 * * * [progress]: simplifying candidates
5.107 * * * * [progress]: [ 1 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log1p (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.107 * * * * [progress]: [ 2 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (expm1 (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.107 * * * * [progress]: [ 3 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.107 * * * * [progress]: [ 4 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.107 * * * * [progress]: [ 5 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.108 * * * * [progress]: [ 6 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.108 * * * * [progress]: [ 7 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.108 * * * * [progress]: [ 8 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.108 * * * * [progress]: [ 9 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.108 * * * * [progress]: [ 10 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
5.108 * * * * [progress]: [ 11 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
5.108 * * * * [progress]: [ 12 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
5.108 * * * * [progress]: [ 13 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))>
5.108 * * * * [progress]: [ 14 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))>
5.108 * * * * [progress]: [ 15 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))>
5.108 * * * * [progress]: [ 16 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))>
5.108 * * * * [progress]: [ 17 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))>
5.109 * * * * [progress]: [ 18 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))>
5.109 * * * * [progress]: [ 19 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
5.109 * * * * [progress]: [ 20 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
5.109 * * * * [progress]: [ 21 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
5.109 * * * * [progress]: [ 22 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))>
5.109 * * * * [progress]: [ 23 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))>
5.109 * * * * [progress]: [ 24 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))>
5.109 * * * * [progress]: [ 25 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))>
5.109 * * * * [progress]: [ 26 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))>
5.109 * * * * [progress]: [ 27 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))>
5.109 * * * * [progress]: [ 28 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
5.109 * * * * [progress]: [ 29 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
5.110 * * * * [progress]: [ 30 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
5.110 * * * * [progress]: [ 31 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.110 * * * * [progress]: [ 32 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
5.110 * * * * [progress]: [ 33 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
5.110 * * * * [progress]: [ 34 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
5.110 * * * * [progress]: [ 35 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.110 * * * * [progress]: [ 36 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.110 * * * * [progress]: [ 37 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.110 * * * * [progress]: [ 38 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.110 * * * * [progress]: [ 39 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.110 * * * * [progress]: [ 40 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.110 * * * * [progress]: [ 41 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.110 * * * * [progress]: [ 42 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.110 * * * * [progress]: [ 43 / 196 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.111 * * * * [progress]: [ 44 / 196 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.111 * * * * [progress]: [ 45 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.111 * * * * [progress]: [ 46 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- 1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.111 * * * * [progress]: [ 47 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) (- 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.111 * * * * [progress]: [ 48 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- (/ 1 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.111 * * * * [progress]: [ 49 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.111 * * * * [progress]: [ 50 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.111 * * * * [progress]: [ 51 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (- 0 (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.111 * * * * [progress]: [ 52 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log 1) (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.111 * * * * [progress]: [ 53 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.111 * * * * [progress]: [ 54 / 196 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.111 * * * * [progress]: [ 55 / 196 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.111 * * * * [progress]: [ 56 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.112 * * * * [progress]: [ 57 / 196 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.112 * * * * [progress]: [ 58 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.112 * * * * [progress]: [ 59 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1) (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.112 * * * * [progress]: [ 60 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.112 * * * * [progress]: [ 61 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.112 * * * * [progress]: [ 62 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.112 * * * * [progress]: [ 63 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.112 * * * * [progress]: [ 64 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.112 * * * * [progress]: [ 65 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.112 * * * * [progress]: [ 66 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.112 * * * * [progress]: [ 67 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.112 * * * * [progress]: [ 68 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.112 * * * * [progress]: [ 69 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * * [progress]: [ 70 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * * [progress]: [ 71 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * * [progress]: [ 72 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * * [progress]: [ 73 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * * [progress]: [ 74 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * * [progress]: [ 75 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * * [progress]: [ 76 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * * [progress]: [ 77 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * * [progress]: [ 78 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * * [progress]: [ 79 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * * [progress]: [ 80 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * * [progress]: [ 81 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.113 * * * * [progress]: [ 82 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.114 * * * * [progress]: [ 83 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.114 * * * * [progress]: [ 84 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.114 * * * * [progress]: [ 85 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.114 * * * * [progress]: [ 86 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.114 * * * * [progress]: [ 87 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.114 * * * * [progress]: [ 88 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.114 * * * * [progress]: [ 89 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.114 * * * * [progress]: [ 90 / 196 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.114 * * * * [progress]: [ 91 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log1p (expm1 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.114 * * * * [progress]: [ 92 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (expm1 (log1p (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.114 * * * * [progress]: [ 93 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.114 * * * * [progress]: [ 94 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.114 * * * * [progress]: [ 95 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 96 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 97 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 98 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 99 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 100 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 101 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 102 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 103 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 104 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 105 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 106 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 107 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 108 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2))))>
5.115 * * * * [progress]: [ 109 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
5.116 * * * * [progress]: [ 110 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.116 * * * * [progress]: [ 111 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
5.116 * * * * [progress]: [ 112 / 196 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.116 * * * * [progress]: [ 113 / 196 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.116 * * * * [progress]: [ 114 / 196 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
5.116 * * * * [progress]: [ 115 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.116 * * * * [progress]: [ 116 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.116 * * * * [progress]: [ 117 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.116 * * * * [progress]: [ 118 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.116 * * * * [progress]: [ 119 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.116 * * * * [progress]: [ 120 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.116 * * * * [progress]: [ 121 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.116 * * * * [progress]: [ 122 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.117 * * * * [progress]: [ 123 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.117 * * * * [progress]: [ 124 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.117 * * * * [progress]: [ 125 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.117 * * * * [progress]: [ 126 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.117 * * * * [progress]: [ 127 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.117 * * * * [progress]: [ 128 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.117 * * * * [progress]: [ 129 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.117 * * * * [progress]: [ 130 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.117 * * * * [progress]: [ 131 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.117 * * * * [progress]: [ 132 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.117 * * * * [progress]: [ 133 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.117 * * * * [progress]: [ 134 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.117 * * * * [progress]: [ 135 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.118 * * * * [progress]: [ 136 / 196 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.118 * * * * [progress]: [ 137 / 196 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.118 * * * * [progress]: [ 138 / 196 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.118 * * * * [progress]: [ 139 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.118 * * * * [progress]: [ 140 / 196 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.118 * * * * [progress]: [ 141 / 196 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.118 * * * * [progress]: [ 142 / 196 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))>
5.118 * * * * [progress]: [ 143 / 196 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.118 * * * * [progress]: [ 144 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.118 * * * * [progress]: [ 145 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.118 * * * * [progress]: [ 146 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.118 * * * * [progress]: [ 147 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.119 * * * * [progress]: [ 148 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.119 * * * * [progress]: [ 149 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.119 * * * * [progress]: [ 150 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.119 * * * * [progress]: [ 151 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.119 * * * * [progress]: [ 152 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.119 * * * * [progress]: [ 153 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.119 * * * * [progress]: [ 154 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
5.119 * * * * [progress]: [ 155 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.119 * * * * [progress]: [ 156 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.119 * * * * [progress]: [ 157 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.119 * * * * [progress]: [ 158 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))>
5.119 * * * * [progress]: [ 159 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.120 * * * * [progress]: [ 160 / 196 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.120 * * * * [progress]: [ 161 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.120 * * * * [progress]: [ 162 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.120 * * * * [progress]: [ 163 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.120 * * * * [progress]: [ 164 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.120 * * * * [progress]: [ 165 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.120 * * * * [progress]: [ 166 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.120 * * * * [progress]: [ 167 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.120 * * * * [progress]: [ 168 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.120 * * * * [progress]: [ 169 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.120 * * * * [progress]: [ 170 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt 1)) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.120 * * * * [progress]: [ 171 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.120 * * * * [progress]: [ 172 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.121 * * * * [progress]: [ 173 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.121 * * * * [progress]: [ 174 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.121 * * * * [progress]: [ 175 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.121 * * * * [progress]: [ 176 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.121 * * * * [progress]: [ 177 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.121 * * * * [progress]: [ 178 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.121 * * * * [progress]: [ 179 / 196 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.121 * * * * [progress]: [ 180 / 196 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.121 * * * * [progress]: [ 181 / 196 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
5.121 * * * * [progress]: [ 182 / 196 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))>
5.121 * * * * [progress]: [ 183 / 196 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.121 * * * * [progress]: [ 184 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
5.121 * * * * [progress]: [ 185 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))))>
5.122 * * * * [progress]: [ 186 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
5.122 * * * * [progress]: [ 187 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
5.122 * * * * [progress]: [ 188 / 196 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.122 * * * * [progress]: [ 189 / 196 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.122 * * * * [progress]: [ 190 / 196 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.122 * * * * [progress]: [ 191 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.122 * * * * [progress]: [ 192 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.122 * * * * [progress]: [ 193 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.122 * * * * [progress]: [ 194 / 196 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
5.122 * * * * [progress]: [ 195 / 196 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
5.122 * * * * [progress]: [ 196 / 196 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
5.125 * [simplify]: Simplifying (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)), (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)), (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)), (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (pow (* (* 2 PI) n) (/ 1 2)), (pow (* (* 2 PI) n) (/ k 2)), (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)), (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ 1 1)), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)), (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ 1 1)), (pow (* (* 2 PI) n) 1), (pow (* (* 2 PI) n) (- 1 k)), (pow (* 2 PI) (/ (- 1 k) 2)), (pow n (/ (- 1 k) 2)), (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)), (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)), (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (expm1 (/ 1 (sqrt k))), (log1p (/ 1 (sqrt k))), (- 1/2), (- 1), (- (/ 1 2)), (- (log (sqrt k))), (- 0 (log (sqrt k))), (- (log 1) (log (sqrt k))), (log (/ 1 (sqrt k))), (exp (/ 1 (sqrt k))), (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))), (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))), (cbrt (/ 1 (sqrt k))), (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))), (sqrt (/ 1 (sqrt k))), (sqrt (/ 1 (sqrt k))), (- 1), (- (sqrt k)), (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (cbrt 1) (cbrt (sqrt k))), (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))), (/ (cbrt 1) (sqrt (cbrt k))), (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))), (/ (cbrt 1) (sqrt (sqrt k))), (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)), (/ (cbrt 1) (sqrt k)), (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))), (/ (cbrt 1) (sqrt (sqrt k))), (/ (* (cbrt 1) (cbrt 1)) 1), (/ (cbrt 1) (sqrt k)), (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (sqrt 1) (cbrt (sqrt k))), (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))), (/ (sqrt 1) (sqrt (cbrt k))), (/ (sqrt 1) (sqrt (sqrt k))), (/ (sqrt 1) (sqrt (sqrt k))), (/ (sqrt 1) (sqrt 1)), (/ (sqrt 1) (sqrt k)), (/ (sqrt 1) (sqrt (sqrt k))), (/ (sqrt 1) (sqrt (sqrt k))), (/ (sqrt 1) 1), (/ (sqrt 1) (sqrt k)), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ 1 (cbrt (sqrt k))), (/ 1 (sqrt (* (cbrt k) (cbrt k)))), (/ 1 (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt 1)), (/ 1 (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), (/ 1 1), (/ 1 (sqrt k)), (/ 1 (sqrt k)), (/ (sqrt k) 1), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ 1 (sqrt (* (cbrt k) (cbrt k)))), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt 1)), (/ 1 (sqrt (sqrt k))), (/ 1 1), (/ (sqrt k) (cbrt 1)), (/ (sqrt k) (sqrt 1)), (/ (sqrt k) 1), (real->posit16 (/ 1 (sqrt k))), (expm1 (* (* 2 PI) n)), (log1p (* (* 2 PI) n)), (* (* 2 PI) n), (* (* 2 PI) n), (+ (+ (log 2) (log PI)) (log n)), (+ (log (* 2 PI)) (log n)), (log (* (* 2 PI) n)), (exp (* (* 2 PI) n)), (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)), (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)), (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))), (cbrt (* (* 2 PI) n)), (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (* (* 2 PI) (* (cbrt n) (cbrt n))), (* (* 2 PI) (sqrt n)), (* (* 2 PI) 1), (* PI n), (real->posit16 (* (* 2 PI) n)), (expm1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (log1p (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))), (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))), (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))), (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))), (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))), (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))), (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))), (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))), (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* 1 (pow (* (* 2 PI) n) (/ 1 2))), (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))), (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) 1), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))), (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))), (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))), (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))), (- (+ (* +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 (* n PI)), (* 2 (* n PI)), (* 2 (* n PI)), (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))), (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))), (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
5.129 * * [simplify]: iteration 1: (353 enodes)
5.384 * * [simplify]: Extracting #0: cost 106 inf + 0
5.384 * * [simplify]: Extracting #1: cost 363 inf + 3
5.386 * * [simplify]: Extracting #2: cost 474 inf + 3426
5.390 * * [simplify]: Extracting #3: cost 457 inf + 24532
5.399 * * [simplify]: Extracting #4: cost 308 inf + 78092
5.430 * * [simplify]: Extracting #5: cost 181 inf + 132598
5.471 * * [simplify]: Extracting #6: cost 121 inf + 163548
5.521 * * [simplify]: Extracting #7: cost 83 inf + 179968
5.549 * * [simplify]: Extracting #8: cost 50 inf + 195010
5.588 * * [simplify]: Extracting #9: cost 28 inf + 209634
5.653 * * [simplify]: Extracting #10: cost 8 inf + 222468
5.686 * * [simplify]: Extracting #11: cost 0 inf + 228699
5.723 * * [simplify]: Extracting #12: cost 0 inf + 228669
5.775 * [simplify]: Simplified to (expm1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))), (log1p (pow (* 2 (* n PI)) (/ (- 1 k) 2))), (* (/ (- 1 k) 2) (log (* 2 (* n PI)))), (* (/ (- 1 k) 2) (log (* 2 (* n PI)))), (* (/ (- 1 k) 2) (log (* 2 (* n PI)))), (* (/ (- 1 k) 2) (log (* 2 (* n PI)))), (/ (- 1 k) 2), (/ (- 1 k) 2), (/ (- 1 k) 2), (pow (* 2 (* n PI)) 1/2), (pow (* 2 (* n PI)) (/ k 2)), (pow (* 2 (* n PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* 2 (* n PI)) (sqrt (/ (- 1 k) 2))), (pow (* 2 (* n PI)) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))), (pow (* 2 (* n PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* 2 (* n PI)) (* (cbrt (- 1 k)) (cbrt (- 1 k)))), (pow (* 2 (* n PI)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))), (pow (* 2 (* n PI)) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* 2 (* n PI)) (sqrt (- 1 k))), (pow (* 2 (* n PI)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* 2 (* n PI)) (/ 1 (sqrt 2))), (* 2 (* n PI)), (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* 2 (* n PI)) (+ (sqrt k) 1)), (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* 2 (* n PI)) (+ (sqrt k) 1)), (pow (* 2 (* n PI)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* 2 (* n PI)) (/ 1 (sqrt 2))), (* 2 (* n PI)), (* 2 (* n PI)), (pow (* 2 (* n PI)) (- 1 k)), (pow (* 2 PI) (/ (- 1 k) 2)), (pow n (/ (- 1 k) 2)), (* (/ (- 1 k) 2) (log (* 2 (* n PI)))), (exp (pow (* 2 (* n PI)) (/ (- 1 k) 2))), (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))), (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))), (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))), (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))), (pow (* 2 (* n PI)) (/ (- 1 k) 4)), (pow (* 2 (* n PI)) (/ (- 1 k) 4)), (real->posit16 (pow (* 2 (* n PI)) (/ (- 1 k) 2))), (expm1 (/ 1 (sqrt k))), (log1p (/ 1 (sqrt k))), -1/2, -1, -1/2, (- (log (sqrt k))), (- (log (sqrt k))), (- (log (sqrt k))), (- (log (sqrt k))), (exp (/ 1 (sqrt k))), (/ (/ 1 k) (sqrt k)), (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))), (cbrt (/ 1 (sqrt k))), (* (/ 1 (sqrt k)) (* (/ 1 (sqrt k)) (/ 1 (sqrt k)))), (sqrt (/ 1 (sqrt k))), (sqrt (/ 1 (sqrt k))), -1, (- (sqrt k)), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ 1 (cbrt (sqrt k))), (/ 1 (fabs (cbrt k))), (/ 1 (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt k)), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ 1 (cbrt (sqrt k))), (/ 1 (fabs (cbrt k))), (/ 1 (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt k)), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ 1 (cbrt (sqrt k))), (/ 1 (fabs (cbrt k))), (/ 1 (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt k)), (/ 1 (sqrt k)), (sqrt k), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ 1 (fabs (cbrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 1 (sqrt (sqrt k))), 1, (sqrt k), (sqrt k), (sqrt k), (real->posit16 (/ 1 (sqrt k))), (expm1 (* 2 (* n PI))), (log1p (* 2 (* n PI))), (* 2 (* n PI)), (* 2 (* n PI)), (log (* 2 (* n PI))), (log (* 2 (* n PI))), (log (* 2 (* n PI))), (exp (* 2 (* n PI))), (* (* 8 (* PI (* PI PI))) (* (* n n) n)), (* (* (* 2 PI) (* (* 2 PI) (* 2 PI))) (* (* n n) n)), (* (cbrt (* 2 (* n PI))) (cbrt (* 2 (* n PI)))), (cbrt (* 2 (* n PI))), (* (* 2 (* n PI)) (* (* 2 (* n PI)) (* 2 (* n PI)))), (sqrt (* 2 (* n PI))), (sqrt (* 2 (* n PI))), (* (* 2 PI) (* (cbrt n) (cbrt n))), (* (* 2 PI) (sqrt n)), (* 2 PI), (* n PI), (real->posit16 (* 2 (* n PI))), (expm1 (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))), (log1p (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k)))), (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))), (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))), (exp (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))), (* (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (/ 1 k) (sqrt k))), (* (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (* (/ 1 (sqrt k)) (/ 1 (sqrt k))))), (* (cbrt (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (cbrt (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))), (cbrt (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))), (* (* (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (* (pow (* 2 (* n PI)) (/ 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k) 4))), (/ (* 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))), (/ (* 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))), (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))), (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))), (/ (* 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))), (/ (* 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))), (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))), (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))), (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))), (* (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))), (* (/ 1 (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))), (/ 1 (sqrt k)), (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))), (* (cbrt (/ 1 (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2))), (* (sqrt (/ 1 (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (cbrt (sqrt k)))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (cbrt k)))), (/ (* 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))), (/ (* 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (cbrt (sqrt k)))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (cbrt k)))), (/ (* 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))), (/ (* 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (cbrt (sqrt k)))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (cbrt k)))), (/ (* 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))), (/ (* 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))), (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))), (/ (* 1 (pow (* 2 (* n PI)) 1/2)) (sqrt k)), (pow (* 2 (* n PI)) (/ (- 1 k) 2)), (real->posit16 (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))), (- (fma 1/4 (* (* (log (* 2 PI)) (exp (* 1/2 (log (* 2 (* n PI)))))) (* (* k k) (log n))) (fma 1/8 (* (exp (* 1/2 (log (* 2 (* n PI))))) (* (* k k) (* (log n) (log n)))) (+ (* (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (* (exp (* 1/2 (log (* 2 (* n PI))))) (* k k))) (exp (* 1/2 (log (* 2 (* n PI)))))))) (* 1/2 (+ (* (* (log n) k) (exp (* 1/2 (log (* 2 (* n PI)))))) (* (* k (exp (* 1/2 (log (* 2 (* n PI)))))) (log (* 2 PI)))))), (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))), (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))), (- (- (* +nan.0 (* k k)) (- +nan.0 (* +nan.0 k)))), (- (- (* (/ 1 (* k k)) +nan.0) (- (* (/ 1 k) +nan.0) (* +nan.0 (/ 1 (* (* k k) k)))))), (- (- (* (/ 1 (* k k)) +nan.0) (- (* (/ 1 k) +nan.0) +nan.0))), (* 2 (* n PI)), (* 2 (* n PI)), (* 2 (* n PI)), (- (fma +nan.0 (* (* (sqrt 2) n) (* k PI)) (- (- (* (* +nan.0 (sqrt 2)) (* n PI)) (- (* (* (* (* (sqrt 2) n) (* k PI)) (log (* 2 PI))) +nan.0) (- (* (* +nan.0 (sqrt 2)) (* (* PI (* (log n) k)) n)) (* (* +nan.0 (sqrt 2)) (* (* n n) (* PI PI))))))))), (- (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) k)) (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) (* k k))) (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) (* (* k k) k)) +nan.0)))), (- (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) k)) (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) +nan.0) (* (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) +nan.0))))
5.776 * * * * [progress]: [ 1 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log1p (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.776 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (log1p (expm1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
5.776 * * * * [progress]: [ 2 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (expm1 (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.776 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (expm1 (log1p (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
5.777 * * * * [progress]: [ 3 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.777 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (* (/ (- 1 k) 2) (log (* 2 (* n PI)))))))
5.777 * * * * [progress]: [ 4 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.777 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (* (/ (- 1 k) 2) (log (* 2 (* n PI)))))))
5.777 * * * * [progress]: [ 5 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.777 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (* (/ (- 1 k) 2) (log (* 2 (* n PI)))))))
5.777 * * * * [progress]: [ 6 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.777 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (* (/ (- 1 k) 2) (log (* 2 (* n PI)))))))
5.777 * * * * [progress]: [ 7 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.777 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.778 * * * * [progress]: [ 8 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.778 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.778 * * * * [progress]: [ 9 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.778 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.778 * * * * [progress]: [ 10 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
5.778 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* 2 (* n PI)) 1/2) (pow (* (* 2 PI) n) (/ k 2)))))
5.778 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))))
5.778 * * * * [progress]: [ 11 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
5.778 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))
5.779 * * * * [progress]: [ 12 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
5.779 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))
5.779 * * * * [progress]: [ 13 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))>
5.779 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))
5.779 * * * * [progress]: [ 14 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))>
5.779 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))
5.779 * * * * [progress]: [ 15 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))>
5.779 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2))))
5.780 * * * * [progress]: [ 16 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))>
5.780 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (/ (sqrt (- 1 k)) (cbrt 2)))))
5.780 * * * * [progress]: [ 17 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))>
5.780 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))
5.780 * * * * [progress]: [ 18 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))>
5.780 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2))))
5.780 * * * * [progress]: [ 19 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
5.780 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))
5.780 * * * * [progress]: [ 20 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
5.781 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))
5.781 * * * * [progress]: [ 21 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
5.781 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))
5.781 * * * * [progress]: [ 22 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))>
5.781 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))
5.781 * * * * [progress]: [ 23 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))>
5.781 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))
5.781 * * * * [progress]: [ 24 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))>
5.781 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))
5.782 * * * * [progress]: [ 25 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))>
5.782 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))
5.782 * * * * [progress]: [ 26 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))>
5.782 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))
5.782 * * * * [progress]: [ 27 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))>
5.782 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))
5.782 * * * * [progress]: [ 28 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
5.782 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))
5.783 * * * * [progress]: [ 29 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
5.783 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))
5.783 * * * * [progress]: [ 30 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
5.783 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))
5.783 * * * * [progress]: [ 31 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.783 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))
5.783 * * * * [progress]: [ 32 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
5.783 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) (- 1 k)) (/ 1 2))))
5.783 * * * * [progress]: [ 33 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
5.783 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))
5.784 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))
5.784 * * * * [progress]: [ 34 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
5.784 * * * * [progress]: [ 35 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.784 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (* (/ (- 1 k) 2) (log (* 2 (* n PI)))))))
5.784 * * * * [progress]: [ 36 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.784 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
5.784 * * * * [progress]: [ 37 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.784 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
5.784 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
5.785 * * * * [progress]: [ 38 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.785 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
5.785 * * * * [progress]: [ 39 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.785 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
5.785 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
5.785 * * * * [progress]: [ 40 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.785 * * * * [progress]: [ 41 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.785 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))
5.785 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
5.786 * * * * [progress]: [ 42 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.786 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
5.786 * * * * [progress]: [ 43 / 196 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.786 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (log1p (expm1 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.786 * * * * [progress]: [ 44 / 196 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.786 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (expm1 (log1p (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.786 * * * * [progress]: [ 45 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.786 * * * * [progress]: [ 46 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- 1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.786 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.786 * * * * [progress]: [ 47 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) (- 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.787 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.787 * * * * [progress]: [ 48 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- (/ 1 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.787 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.787 * * * * [progress]: [ 49 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.787 * * * * [progress]: [ 50 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.787 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.787 * * * * [progress]: [ 51 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (- 0 (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.787 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.787 * * * * [progress]: [ 52 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log 1) (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.787 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.788 * * * * [progress]: [ 53 / 196 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.788 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.788 * * * * [progress]: [ 54 / 196 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.788 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.788 * * * * [progress]: [ 55 / 196 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.788 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.788 * * * * [progress]: [ 56 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.788 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.788 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.789 * * * * [progress]: [ 57 / 196 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.789 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (/ 1 (sqrt k)) (* (/ 1 (sqrt k)) (/ 1 (sqrt k))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.789 * * * * [progress]: [ 58 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.789 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.789 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.789 * * * * [progress]: [ 59 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1) (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.789 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ -1 (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.790 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ -1 (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.790 * * * * [progress]: [ 60 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.790 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.790 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.790 * * * * [progress]: [ 61 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.790 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.790 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.790 * * * * [progress]: [ 62 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.790 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.791 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.791 * * * * [progress]: [ 63 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.791 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.791 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.791 * * * * [progress]: [ 64 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.791 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.791 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.791 * * * * [progress]: [ 65 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.792 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.792 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.792 * * * * [progress]: [ 66 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.792 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.792 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.792 * * * * [progress]: [ 67 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.792 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.792 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.793 * * * * [progress]: [ 68 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.793 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.793 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.793 * * * * [progress]: [ 69 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.793 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.793 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.793 * * * * [progress]: [ 70 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.793 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.794 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.794 * * * * [progress]: [ 71 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.794 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.794 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.794 * * * * [progress]: [ 72 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.794 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.794 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.794 * * * * [progress]: [ 73 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.794 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.795 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.795 * * * * [progress]: [ 74 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.795 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.795 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.795 * * * * [progress]: [ 75 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.795 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.795 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.795 * * * * [progress]: [ 76 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.795 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.796 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.796 * * * * [progress]: [ 77 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.796 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.796 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.796 * * * * [progress]: [ 78 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.796 * * * * [progress]: [ 79 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.796 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.796 * * * * [progress]: [ 80 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.796 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.797 * * * * [progress]: [ 81 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.797 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.797 * * * * [progress]: [ 82 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.797 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.797 * * * * [progress]: [ 83 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.797 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.797 * * * * [progress]: [ 84 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.797 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.797 * * * * [progress]: [ 85 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.797 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.798 * * * * [progress]: [ 86 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.798 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.798 * * * * [progress]: [ 87 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.798 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.798 * * * * [progress]: [ 88 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.798 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.798 * * * * [progress]: [ 89 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.798 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.798 * * * * [progress]: [ 90 / 196 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.798 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.798 * * * * [progress]: [ 91 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log1p (expm1 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.799 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (log1p (expm1 (* 2 (* n PI)))) (/ (- 1 k) 2))))
5.799 * * * * [progress]: [ 92 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (expm1 (log1p (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.799 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (expm1 (log1p (* 2 (* n PI)))) (/ (- 1 k) 2))))
5.799 * * * * [progress]: [ 93 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.799 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) 1) (/ (- 1 k) 2))))
5.799 * * * * [progress]: [ 94 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.799 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* 2 (* n PI)) 1) (/ (- 1 k) 2))))
5.800 * * * * [progress]: [ 95 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.800 * * * * [progress]: [ 96 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2))))>
5.800 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* 2 (* n PI)))) (/ (- 1 k) 2))))
5.800 * * * * [progress]: [ 97 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2))))>
5.800 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* 2 (* n PI)))) (/ (- 1 k) 2))))
5.800 * * * * [progress]: [ 98 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.800 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* 2 (* n PI)))) (/ (- 1 k) 2))))
5.800 * * * * [progress]: [ 99 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.800 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* 2 (* n PI)))) (/ (- 1 k) 2))))
5.800 * * * * [progress]: [ 100 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
5.801 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* 8 (* PI (* PI PI))) (* (* n n) n))) (/ (- 1 k) 2))))
5.801 * * * * [progress]: [ 101 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
5.801 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* 2 PI) (* (* 2 PI) (* 2 PI))) (* (* n n) n))) (/ (- 1 k) 2))))
5.801 * * * * [progress]: [ 102 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.801 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* 2 (* n PI))) (cbrt (* 2 (* n PI)))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))
5.801 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* 2 (* n PI)))) (/ (- 1 k) 2))))
5.801 * * * * [progress]: [ 103 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.801 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* 2 (* n PI)) (* (* 2 (* n PI)) (* 2 (* n PI))))) (/ (- 1 k) 2))))
5.802 * * * * [progress]: [ 104 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.802 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* 2 (* n PI))) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))
5.802 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* 2 (* n PI)))) (/ (- 1 k) 2))))
5.802 * * * * [progress]: [ 105 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
5.802 * * * * [progress]: [ 106 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2))))>
5.802 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2))))
5.802 * * * * [progress]: [ 107 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))>
5.802 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))
5.802 * * * * [progress]: [ 108 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2))))>
5.803 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.803 * * * * [progress]: [ 109 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
5.803 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))
5.803 * * * * [progress]: [ 110 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.803 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (posit16->real (real->posit16 (* 2 (* n PI)))) (/ (- 1 k) 2))))
5.803 * * * * [progress]: [ 111 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
5.803 * * * * [progress]: [ 112 / 196 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.803 * [simplify]: Simplified (2 1) to (λ (k n) (log1p (expm1 (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))
5.803 * * * * [progress]: [ 113 / 196 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.803 * [simplify]: Simplified (2 1) to (λ (k n) (expm1 (log1p (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))
5.803 * * * * [progress]: [ 114 / 196 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
5.804 * * * * [progress]: [ 115 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.804 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.804 * * * * [progress]: [ 116 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.804 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.804 * * * * [progress]: [ 117 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.804 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.804 * * * * [progress]: [ 118 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.804 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.804 * * * * [progress]: [ 119 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.804 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (log (* 2 (* n PI)))))))
5.805 * * * * [progress]: [ 120 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.805 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.805 * * * * [progress]: [ 121 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.805 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.805 * * * * [progress]: [ 122 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.805 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.805 * * * * [progress]: [ 123 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.805 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.805 * * * * [progress]: [ 124 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.805 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (log (* 2 (* n PI)))))))
5.806 * * * * [progress]: [ 125 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.806 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.806 * * * * [progress]: [ 126 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.806 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.806 * * * * [progress]: [ 127 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.806 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.806 * * * * [progress]: [ 128 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.806 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.806 * * * * [progress]: [ 129 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.806 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (log (* 2 (* n PI)))))))
5.807 * * * * [progress]: [ 130 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.807 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.807 * * * * [progress]: [ 131 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.807 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.807 * * * * [progress]: [ 132 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.807 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.807 * * * * [progress]: [ 133 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.807 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (- (log (sqrt k))))))
5.807 * * * * [progress]: [ 134 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.808 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (log (* 2 (* n PI)))))))
5.808 * * * * [progress]: [ 135 / 196 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.808 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (/ (- 1 k) 2) (log (* 2 (* n PI)))))))
5.808 * * * * [progress]: [ 136 / 196 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.808 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))
5.808 * * * * [progress]: [ 137 / 196 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.808 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (/ 1 k) (sqrt k)))))
5.808 * * * * [progress]: [ 138 / 196 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.808 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (* (/ 1 (sqrt k)) (/ 1 (sqrt k)))))))
5.809 * * * * [progress]: [ 139 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.809 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (cbrt (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
5.809 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))
5.809 * * * * [progress]: [ 140 / 196 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.809 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))
5.809 * * * * [progress]: [ 141 / 196 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.809 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
5.809 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))
5.810 * * * * [progress]: [ 142 / 196 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))>
5.810 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* 2 (* n PI)) 1/2) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))
5.810 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ 1 2))) (* (pow (* 2 (* n PI)) (/ k 2)) (sqrt k))))
5.810 * * * * [progress]: [ 143 / 196 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.810 * * * * [progress]: [ 144 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.810 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
5.810 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
5.810 * * * * [progress]: [ 145 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.811 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))
5.811 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
5.811 * * * * [progress]: [ 146 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.811 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
5.811 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (* 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))))
5.811 * * * * [progress]: [ 147 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.811 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))
5.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
5.812 * * * * [progress]: [ 148 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.812 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
5.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (* 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))))
5.812 * * * * [progress]: [ 149 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.812 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))
5.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
5.813 * * * * [progress]: [ 150 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.813 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
5.813 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (* 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))))
5.813 * * * * [progress]: [ 151 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.813 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))
5.813 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
5.813 * * * * [progress]: [ 152 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.814 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
5.814 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (* 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))))
5.814 * * * * [progress]: [ 153 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.814 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))
5.814 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
5.814 * * * * [progress]: [ 154 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
5.814 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))) (pow n (/ (- 1 k) 2))))
5.814 * * * * [progress]: [ 155 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.815 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
5.815 * * * * [progress]: [ 156 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.815 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
5.815 * * * * [progress]: [ 157 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.815 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.815 * * * * [progress]: [ 158 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))>
5.815 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))
5.815 * * * * [progress]: [ 159 / 196 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.815 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
5.816 * * * * [progress]: [ 160 / 196 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.816 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
5.816 * * * * [progress]: [ 161 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.816 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (cbrt (sqrt k))))))
5.816 * * * * [progress]: [ 162 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.816 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (cbrt k))))))
5.816 * * * * [progress]: [ 163 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.816 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
5.816 * * * * [progress]: [ 164 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.817 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))
5.817 * * * * [progress]: [ 165 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.817 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
5.817 * * * * [progress]: [ 166 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.817 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))
5.817 * * * * [progress]: [ 167 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.817 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (cbrt (sqrt k))))))
5.817 * * * * [progress]: [ 168 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.817 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (cbrt k))))))
5.818 * * * * [progress]: [ 169 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.818 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (* 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
5.818 * * * * [progress]: [ 170 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt 1)) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.818 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt 1)) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))
5.818 * * * * [progress]: [ 171 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.818 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (* 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
5.818 * * * * [progress]: [ 172 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.818 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) 1) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))
5.818 * * * * [progress]: [ 173 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.819 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (cbrt (sqrt k))))))
5.819 * * * * [progress]: [ 174 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.819 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (cbrt k))))))
5.819 * * * * [progress]: [ 175 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.819 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (* 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
5.819 * * * * [progress]: [ 176 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.819 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt 1)) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))
5.819 * * * * [progress]: [ 177 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.819 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (* 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
5.820 * * * * [progress]: [ 178 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.820 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 1) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))
5.820 * * * * [progress]: [ 179 / 196 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.820 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))
5.820 * * * * [progress]: [ 180 / 196 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.820 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))
5.820 * * * * [progress]: [ 181 / 196 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
5.820 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (* 1 (pow (* 2 (* n PI)) 1/2)) (sqrt k)) (pow (* (* 2 PI) n) (/ k 2))))
5.820 * * * * [progress]: [ 182 / 196 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))>
5.820 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))
5.821 * * * * [progress]: [ 183 / 196 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.821 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))
5.821 * * * * [progress]: [ 184 / 196 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
5.821 * * * * [progress]: [ 185 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))))>
5.821 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (- (fma 1/4 (* (* (log (* 2 PI)) (exp (* 1/2 (log (* 2 (* n PI)))))) (* (* k k) (log n))) (fma 1/8 (* (exp (* 1/2 (log (* 2 (* n PI))))) (* (* k k) (* (log n) (log n)))) (+ (* (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (* (exp (* 1/2 (log (* 2 (* n PI))))) (* k k))) (exp (* 1/2 (log (* 2 (* n PI)))))))) (* 1/2 (+ (* (* (log n) k) (exp (* 1/2 (log (* 2 (* n PI)))))) (* (* k (exp (* 1/2 (log (* 2 (* n PI)))))) (log (* 2 PI))))))))
5.821 * * * * [progress]: [ 186 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
5.822 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))))
5.822 * * * * [progress]: [ 187 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
5.822 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n)))))))
5.822 * * * * [progress]: [ 188 / 196 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.822 * [simplify]: Simplified (2 1) to (λ (k n) (* (- (- (* +nan.0 (* k k)) (- +nan.0 (* +nan.0 k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.822 * * * * [progress]: [ 189 / 196 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.822 * [simplify]: Simplified (2 1) to (λ (k n) (* (- (- (* (/ 1 (* k k)) +nan.0) (- (* (/ 1 k) +nan.0) (* +nan.0 (/ 1 (* (* k k) k)))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.822 * * * * [progress]: [ 190 / 196 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.822 * [simplify]: Simplified (2 1) to (λ (k n) (* (- (- (* (/ 1 (* k k)) +nan.0) (- (* (/ 1 k) +nan.0) +nan.0))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
5.823 * * * * [progress]: [ 191 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.823 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))
5.823 * * * * [progress]: [ 192 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.823 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))
5.823 * * * * [progress]: [ 193 / 196 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.823 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))
5.823 * * * * [progress]: [ 194 / 196 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
5.823 * [simplify]: Simplified (2) to (λ (k n) (- (fma +nan.0 (* (* (sqrt 2) n) (* k PI)) (- (- (* (* +nan.0 (sqrt 2)) (* n PI)) (- (* (* (* (* (sqrt 2) n) (* k PI)) (log (* 2 PI))) +nan.0) (- (* (* +nan.0 (sqrt 2)) (* (* PI (* (log n) k)) n)) (* (* +nan.0 (sqrt 2)) (* (* n n) (* PI PI))))))))))
5.823 * * * * [progress]: [ 195 / 196 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
5.824 * [simplify]: Simplified (2) to (λ (k n) (- (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) k)) (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) (* k k))) (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) (* (* k k) k)) +nan.0)))))
5.824 * * * * [progress]: [ 196 / 196 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
5.824 * [simplify]: Simplified (2) to (λ (k n) (- (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) k)) (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) +nan.0) (* (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) +nan.0)))))
5.824 * * * [progress]: adding candidates to table
8.088 * * [progress]: iteration 3 / 4
8.088 * * * [progress]: picking best candidate
8.142 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
8.142 * * * [progress]: localizing error
8.194 * * * [progress]: generating rewritten candidates
8.194 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
8.225 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1)
8.254 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
8.307 * * * [progress]: generating series expansions
8.307 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
8.308 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
8.308 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
8.308 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
8.308 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
8.309 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
8.309 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
8.309 * [taylor]: Taking taylor expansion of 1/2 in k
8.309 * [backup-simplify]: Simplify 1/2 into 1/2
8.309 * [taylor]: Taking taylor expansion of (- 1 k) in k
8.309 * [taylor]: Taking taylor expansion of 1 in k
8.309 * [backup-simplify]: Simplify 1 into 1
8.309 * [taylor]: Taking taylor expansion of k in k
8.309 * [backup-simplify]: Simplify 0 into 0
8.309 * [backup-simplify]: Simplify 1 into 1
8.309 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
8.309 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
8.309 * [taylor]: Taking taylor expansion of 2 in k
8.309 * [backup-simplify]: Simplify 2 into 2
8.309 * [taylor]: Taking taylor expansion of (* n PI) in k
8.309 * [taylor]: Taking taylor expansion of n in k
8.309 * [backup-simplify]: Simplify n into n
8.309 * [taylor]: Taking taylor expansion of PI in k
8.309 * [backup-simplify]: Simplify PI into PI
8.309 * [backup-simplify]: Simplify (* n PI) into (* n PI)
8.309 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
8.309 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
8.310 * [backup-simplify]: Simplify (- 0) into 0
8.310 * [backup-simplify]: Simplify (+ 1 0) into 1
8.311 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.311 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
8.311 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
8.311 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
8.311 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
8.311 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
8.311 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
8.311 * [taylor]: Taking taylor expansion of 1/2 in n
8.311 * [backup-simplify]: Simplify 1/2 into 1/2
8.311 * [taylor]: Taking taylor expansion of (- 1 k) in n
8.311 * [taylor]: Taking taylor expansion of 1 in n
8.311 * [backup-simplify]: Simplify 1 into 1
8.311 * [taylor]: Taking taylor expansion of k in n
8.311 * [backup-simplify]: Simplify k into k
8.311 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.311 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.311 * [taylor]: Taking taylor expansion of 2 in n
8.311 * [backup-simplify]: Simplify 2 into 2
8.311 * [taylor]: Taking taylor expansion of (* n PI) in n
8.311 * [taylor]: Taking taylor expansion of n in n
8.311 * [backup-simplify]: Simplify 0 into 0
8.312 * [backup-simplify]: Simplify 1 into 1
8.312 * [taylor]: Taking taylor expansion of PI in n
8.312 * [backup-simplify]: Simplify PI into PI
8.312 * [backup-simplify]: Simplify (* 0 PI) into 0
8.313 * [backup-simplify]: Simplify (* 2 0) into 0
8.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.316 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.317 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.317 * [backup-simplify]: Simplify (- k) into (- k)
8.317 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
8.317 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
8.318 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.320 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
8.321 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
8.321 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
8.321 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
8.321 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
8.321 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
8.321 * [taylor]: Taking taylor expansion of 1/2 in n
8.321 * [backup-simplify]: Simplify 1/2 into 1/2
8.321 * [taylor]: Taking taylor expansion of (- 1 k) in n
8.321 * [taylor]: Taking taylor expansion of 1 in n
8.321 * [backup-simplify]: Simplify 1 into 1
8.321 * [taylor]: Taking taylor expansion of k in n
8.321 * [backup-simplify]: Simplify k into k
8.321 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.321 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.321 * [taylor]: Taking taylor expansion of 2 in n
8.321 * [backup-simplify]: Simplify 2 into 2
8.321 * [taylor]: Taking taylor expansion of (* n PI) in n
8.321 * [taylor]: Taking taylor expansion of n in n
8.321 * [backup-simplify]: Simplify 0 into 0
8.321 * [backup-simplify]: Simplify 1 into 1
8.321 * [taylor]: Taking taylor expansion of PI in n
8.321 * [backup-simplify]: Simplify PI into PI
8.322 * [backup-simplify]: Simplify (* 0 PI) into 0
8.322 * [backup-simplify]: Simplify (* 2 0) into 0
8.324 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.325 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.326 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.326 * [backup-simplify]: Simplify (- k) into (- k)
8.326 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
8.327 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
8.328 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.329 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
8.330 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
8.330 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
8.330 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
8.330 * [taylor]: Taking taylor expansion of 1/2 in k
8.330 * [backup-simplify]: Simplify 1/2 into 1/2
8.330 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
8.330 * [taylor]: Taking taylor expansion of (- 1 k) in k
8.330 * [taylor]: Taking taylor expansion of 1 in k
8.331 * [backup-simplify]: Simplify 1 into 1
8.331 * [taylor]: Taking taylor expansion of k in k
8.331 * [backup-simplify]: Simplify 0 into 0
8.331 * [backup-simplify]: Simplify 1 into 1
8.331 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
8.331 * [taylor]: Taking taylor expansion of (log n) in k
8.331 * [taylor]: Taking taylor expansion of n in k
8.331 * [backup-simplify]: Simplify n into n
8.331 * [backup-simplify]: Simplify (log n) into (log n)
8.331 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
8.331 * [taylor]: Taking taylor expansion of (* 2 PI) in k
8.331 * [taylor]: Taking taylor expansion of 2 in k
8.331 * [backup-simplify]: Simplify 2 into 2
8.331 * [taylor]: Taking taylor expansion of PI in k
8.331 * [backup-simplify]: Simplify PI into PI
8.331 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.332 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.333 * [backup-simplify]: Simplify (- 0) into 0
8.333 * [backup-simplify]: Simplify (+ 1 0) into 1
8.334 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.335 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
8.336 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
8.337 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
8.338 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
8.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.340 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
8.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.341 * [backup-simplify]: Simplify (- 0) into 0
8.341 * [backup-simplify]: Simplify (+ 0 0) into 0
8.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
8.342 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.343 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
8.344 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.344 * [taylor]: Taking taylor expansion of 0 in k
8.344 * [backup-simplify]: Simplify 0 into 0
8.344 * [backup-simplify]: Simplify 0 into 0
8.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
8.345 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
8.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.347 * [backup-simplify]: Simplify (+ 0 0) into 0
8.347 * [backup-simplify]: Simplify (- 1) into -1
8.347 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.348 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
8.349 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
8.351 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
8.352 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
8.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
8.354 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
8.356 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
8.356 * [backup-simplify]: Simplify (- 0) into 0
8.356 * [backup-simplify]: Simplify (+ 0 0) into 0
8.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
8.357 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.358 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
8.360 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.360 * [taylor]: Taking taylor expansion of 0 in k
8.360 * [backup-simplify]: Simplify 0 into 0
8.360 * [backup-simplify]: Simplify 0 into 0
8.360 * [backup-simplify]: Simplify 0 into 0
8.361 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
8.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
8.363 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
8.363 * [backup-simplify]: Simplify (+ 0 0) into 0
8.364 * [backup-simplify]: Simplify (- 0) into 0
8.364 * [backup-simplify]: Simplify (+ 0 0) into 0
8.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
8.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
8.369 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
8.372 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
8.379 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
8.385 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
8.385 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
8.386 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
8.386 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
8.386 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
8.386 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
8.386 * [taylor]: Taking taylor expansion of 1/2 in k
8.386 * [backup-simplify]: Simplify 1/2 into 1/2
8.386 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
8.386 * [taylor]: Taking taylor expansion of 1 in k
8.386 * [backup-simplify]: Simplify 1 into 1
8.386 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.386 * [taylor]: Taking taylor expansion of k in k
8.386 * [backup-simplify]: Simplify 0 into 0
8.386 * [backup-simplify]: Simplify 1 into 1
8.387 * [backup-simplify]: Simplify (/ 1 1) into 1
8.387 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
8.387 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
8.387 * [taylor]: Taking taylor expansion of 2 in k
8.387 * [backup-simplify]: Simplify 2 into 2
8.387 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.387 * [taylor]: Taking taylor expansion of PI in k
8.387 * [backup-simplify]: Simplify PI into PI
8.387 * [taylor]: Taking taylor expansion of n in k
8.387 * [backup-simplify]: Simplify n into n
8.387 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.387 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
8.387 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
8.388 * [backup-simplify]: Simplify (- 1) into -1
8.388 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.389 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
8.389 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
8.389 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
8.389 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
8.389 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
8.389 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
8.389 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
8.389 * [taylor]: Taking taylor expansion of 1/2 in n
8.389 * [backup-simplify]: Simplify 1/2 into 1/2
8.389 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.389 * [taylor]: Taking taylor expansion of 1 in n
8.389 * [backup-simplify]: Simplify 1 into 1
8.389 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.390 * [taylor]: Taking taylor expansion of k in n
8.390 * [backup-simplify]: Simplify k into k
8.390 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.390 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.390 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.390 * [taylor]: Taking taylor expansion of 2 in n
8.390 * [backup-simplify]: Simplify 2 into 2
8.390 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.390 * [taylor]: Taking taylor expansion of PI in n
8.390 * [backup-simplify]: Simplify PI into PI
8.390 * [taylor]: Taking taylor expansion of n in n
8.390 * [backup-simplify]: Simplify 0 into 0
8.390 * [backup-simplify]: Simplify 1 into 1
8.390 * [backup-simplify]: Simplify (/ PI 1) into PI
8.391 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.392 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.392 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.392 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.392 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
8.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.395 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.396 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
8.396 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
8.396 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
8.396 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
8.396 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
8.396 * [taylor]: Taking taylor expansion of 1/2 in n
8.396 * [backup-simplify]: Simplify 1/2 into 1/2
8.396 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.396 * [taylor]: Taking taylor expansion of 1 in n
8.396 * [backup-simplify]: Simplify 1 into 1
8.396 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.396 * [taylor]: Taking taylor expansion of k in n
8.396 * [backup-simplify]: Simplify k into k
8.396 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.396 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.397 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.397 * [taylor]: Taking taylor expansion of 2 in n
8.397 * [backup-simplify]: Simplify 2 into 2
8.397 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.397 * [taylor]: Taking taylor expansion of PI in n
8.397 * [backup-simplify]: Simplify PI into PI
8.397 * [taylor]: Taking taylor expansion of n in n
8.397 * [backup-simplify]: Simplify 0 into 0
8.397 * [backup-simplify]: Simplify 1 into 1
8.397 * [backup-simplify]: Simplify (/ PI 1) into PI
8.398 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.398 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.399 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.399 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.399 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
8.400 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.401 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.402 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
8.402 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
8.402 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
8.402 * [taylor]: Taking taylor expansion of 1/2 in k
8.402 * [backup-simplify]: Simplify 1/2 into 1/2
8.402 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
8.402 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
8.402 * [taylor]: Taking taylor expansion of 1 in k
8.402 * [backup-simplify]: Simplify 1 into 1
8.402 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.402 * [taylor]: Taking taylor expansion of k in k
8.402 * [backup-simplify]: Simplify 0 into 0
8.402 * [backup-simplify]: Simplify 1 into 1
8.403 * [backup-simplify]: Simplify (/ 1 1) into 1
8.403 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
8.403 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
8.403 * [taylor]: Taking taylor expansion of (* 2 PI) in k
8.403 * [taylor]: Taking taylor expansion of 2 in k
8.403 * [backup-simplify]: Simplify 2 into 2
8.403 * [taylor]: Taking taylor expansion of PI in k
8.403 * [backup-simplify]: Simplify PI into PI
8.403 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.404 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.404 * [taylor]: Taking taylor expansion of (log n) in k
8.404 * [taylor]: Taking taylor expansion of n in k
8.404 * [backup-simplify]: Simplify n into n
8.404 * [backup-simplify]: Simplify (log n) into (log n)
8.404 * [backup-simplify]: Simplify (- 1) into -1
8.405 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.405 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
8.405 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
8.406 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
8.407 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
8.407 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
8.408 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
8.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.409 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
8.410 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.411 * [backup-simplify]: Simplify (- 0) into 0
8.411 * [backup-simplify]: Simplify (+ 0 0) into 0
8.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
8.412 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.413 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
8.414 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.414 * [taylor]: Taking taylor expansion of 0 in k
8.414 * [backup-simplify]: Simplify 0 into 0
8.414 * [backup-simplify]: Simplify 0 into 0
8.414 * [backup-simplify]: Simplify 0 into 0
8.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.416 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
8.417 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
8.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.418 * [backup-simplify]: Simplify (- 0) into 0
8.418 * [backup-simplify]: Simplify (+ 0 0) into 0
8.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
8.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.420 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
8.422 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.422 * [taylor]: Taking taylor expansion of 0 in k
8.422 * [backup-simplify]: Simplify 0 into 0
8.422 * [backup-simplify]: Simplify 0 into 0
8.422 * [backup-simplify]: Simplify 0 into 0
8.422 * [backup-simplify]: Simplify 0 into 0
8.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.426 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
8.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.427 * [backup-simplify]: Simplify (- 0) into 0
8.428 * [backup-simplify]: Simplify (+ 0 0) into 0
8.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
8.430 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.431 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
8.432 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.432 * [taylor]: Taking taylor expansion of 0 in k
8.433 * [backup-simplify]: Simplify 0 into 0
8.433 * [backup-simplify]: Simplify 0 into 0
8.433 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
8.434 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
8.434 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
8.434 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
8.434 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
8.434 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
8.434 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
8.434 * [taylor]: Taking taylor expansion of 1/2 in k
8.434 * [backup-simplify]: Simplify 1/2 into 1/2
8.434 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
8.434 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.434 * [taylor]: Taking taylor expansion of k in k
8.434 * [backup-simplify]: Simplify 0 into 0
8.434 * [backup-simplify]: Simplify 1 into 1
8.434 * [backup-simplify]: Simplify (/ 1 1) into 1
8.434 * [taylor]: Taking taylor expansion of 1 in k
8.434 * [backup-simplify]: Simplify 1 into 1
8.434 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
8.434 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
8.434 * [taylor]: Taking taylor expansion of -2 in k
8.434 * [backup-simplify]: Simplify -2 into -2
8.434 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.434 * [taylor]: Taking taylor expansion of PI in k
8.434 * [backup-simplify]: Simplify PI into PI
8.434 * [taylor]: Taking taylor expansion of n in k
8.434 * [backup-simplify]: Simplify n into n
8.434 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.434 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
8.434 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
8.435 * [backup-simplify]: Simplify (+ 1 0) into 1
8.435 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.435 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
8.435 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
8.435 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
8.435 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
8.435 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
8.435 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
8.435 * [taylor]: Taking taylor expansion of 1/2 in n
8.435 * [backup-simplify]: Simplify 1/2 into 1/2
8.435 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
8.435 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.435 * [taylor]: Taking taylor expansion of k in n
8.435 * [backup-simplify]: Simplify k into k
8.435 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.435 * [taylor]: Taking taylor expansion of 1 in n
8.435 * [backup-simplify]: Simplify 1 into 1
8.435 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.436 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.436 * [taylor]: Taking taylor expansion of -2 in n
8.436 * [backup-simplify]: Simplify -2 into -2
8.436 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.436 * [taylor]: Taking taylor expansion of PI in n
8.436 * [backup-simplify]: Simplify PI into PI
8.436 * [taylor]: Taking taylor expansion of n in n
8.436 * [backup-simplify]: Simplify 0 into 0
8.436 * [backup-simplify]: Simplify 1 into 1
8.436 * [backup-simplify]: Simplify (/ PI 1) into PI
8.436 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.437 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.437 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
8.437 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
8.438 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.438 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
8.439 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
8.439 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
8.439 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
8.439 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
8.439 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
8.439 * [taylor]: Taking taylor expansion of 1/2 in n
8.439 * [backup-simplify]: Simplify 1/2 into 1/2
8.439 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
8.439 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.439 * [taylor]: Taking taylor expansion of k in n
8.439 * [backup-simplify]: Simplify k into k
8.439 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.439 * [taylor]: Taking taylor expansion of 1 in n
8.439 * [backup-simplify]: Simplify 1 into 1
8.439 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.439 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.439 * [taylor]: Taking taylor expansion of -2 in n
8.439 * [backup-simplify]: Simplify -2 into -2
8.439 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.439 * [taylor]: Taking taylor expansion of PI in n
8.439 * [backup-simplify]: Simplify PI into PI
8.439 * [taylor]: Taking taylor expansion of n in n
8.439 * [backup-simplify]: Simplify 0 into 0
8.439 * [backup-simplify]: Simplify 1 into 1
8.440 * [backup-simplify]: Simplify (/ PI 1) into PI
8.440 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.441 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.441 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
8.441 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
8.442 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.442 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
8.443 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
8.443 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
8.443 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
8.443 * [taylor]: Taking taylor expansion of 1/2 in k
8.443 * [backup-simplify]: Simplify 1/2 into 1/2
8.443 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
8.443 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
8.443 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.443 * [taylor]: Taking taylor expansion of k in k
8.443 * [backup-simplify]: Simplify 0 into 0
8.443 * [backup-simplify]: Simplify 1 into 1
8.443 * [backup-simplify]: Simplify (/ 1 1) into 1
8.443 * [taylor]: Taking taylor expansion of 1 in k
8.443 * [backup-simplify]: Simplify 1 into 1
8.444 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
8.444 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
8.444 * [taylor]: Taking taylor expansion of (* -2 PI) in k
8.444 * [taylor]: Taking taylor expansion of -2 in k
8.444 * [backup-simplify]: Simplify -2 into -2
8.444 * [taylor]: Taking taylor expansion of PI in k
8.444 * [backup-simplify]: Simplify PI into PI
8.444 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.444 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.445 * [taylor]: Taking taylor expansion of (log n) in k
8.445 * [taylor]: Taking taylor expansion of n in k
8.445 * [backup-simplify]: Simplify n into n
8.445 * [backup-simplify]: Simplify (log n) into (log n)
8.445 * [backup-simplify]: Simplify (+ 1 0) into 1
8.445 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
8.446 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
8.446 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
8.447 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
8.447 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
8.448 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
8.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.449 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
8.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
8.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.451 * [backup-simplify]: Simplify (+ 0 0) into 0
8.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
8.452 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.452 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
8.454 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.454 * [taylor]: Taking taylor expansion of 0 in k
8.454 * [backup-simplify]: Simplify 0 into 0
8.454 * [backup-simplify]: Simplify 0 into 0
8.454 * [backup-simplify]: Simplify 0 into 0
8.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.455 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
8.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
8.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.457 * [backup-simplify]: Simplify (+ 0 0) into 0
8.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
8.459 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.460 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
8.461 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.461 * [taylor]: Taking taylor expansion of 0 in k
8.461 * [backup-simplify]: Simplify 0 into 0
8.461 * [backup-simplify]: Simplify 0 into 0
8.461 * [backup-simplify]: Simplify 0 into 0
8.461 * [backup-simplify]: Simplify 0 into 0
8.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.463 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.466 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
8.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.466 * [backup-simplify]: Simplify (+ 0 0) into 0
8.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
8.468 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.469 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
8.470 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.471 * [taylor]: Taking taylor expansion of 0 in k
8.471 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
8.471 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1)
8.472 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
8.472 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
8.472 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.472 * [taylor]: Taking taylor expansion of 2 in n
8.472 * [backup-simplify]: Simplify 2 into 2
8.472 * [taylor]: Taking taylor expansion of (* n PI) in n
8.472 * [taylor]: Taking taylor expansion of n in n
8.472 * [backup-simplify]: Simplify 0 into 0
8.472 * [backup-simplify]: Simplify 1 into 1
8.472 * [taylor]: Taking taylor expansion of PI in n
8.472 * [backup-simplify]: Simplify PI into PI
8.472 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.472 * [taylor]: Taking taylor expansion of 2 in n
8.472 * [backup-simplify]: Simplify 2 into 2
8.472 * [taylor]: Taking taylor expansion of (* n PI) in n
8.472 * [taylor]: Taking taylor expansion of n in n
8.472 * [backup-simplify]: Simplify 0 into 0
8.472 * [backup-simplify]: Simplify 1 into 1
8.472 * [taylor]: Taking taylor expansion of PI in n
8.472 * [backup-simplify]: Simplify PI into PI
8.472 * [backup-simplify]: Simplify (* 0 PI) into 0
8.473 * [backup-simplify]: Simplify (* 2 0) into 0
8.473 * [backup-simplify]: Simplify 0 into 0
8.473 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.474 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.475 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.476 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
8.476 * [backup-simplify]: Simplify 0 into 0
8.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
8.477 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
8.477 * [backup-simplify]: Simplify 0 into 0
8.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
8.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
8.479 * [backup-simplify]: Simplify 0 into 0
8.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
8.485 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
8.485 * [backup-simplify]: Simplify 0 into 0
8.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
8.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
8.487 * [backup-simplify]: Simplify 0 into 0
8.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
8.489 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
8.489 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
8.490 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
8.490 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
8.490 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.490 * [taylor]: Taking taylor expansion of 2 in n
8.490 * [backup-simplify]: Simplify 2 into 2
8.490 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.490 * [taylor]: Taking taylor expansion of PI in n
8.490 * [backup-simplify]: Simplify PI into PI
8.490 * [taylor]: Taking taylor expansion of n in n
8.490 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify 1 into 1
8.491 * [backup-simplify]: Simplify (/ PI 1) into PI
8.491 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.491 * [taylor]: Taking taylor expansion of 2 in n
8.491 * [backup-simplify]: Simplify 2 into 2
8.491 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.491 * [taylor]: Taking taylor expansion of PI in n
8.491 * [backup-simplify]: Simplify PI into PI
8.491 * [taylor]: Taking taylor expansion of n in n
8.491 * [backup-simplify]: Simplify 0 into 0
8.491 * [backup-simplify]: Simplify 1 into 1
8.491 * [backup-simplify]: Simplify (/ PI 1) into PI
8.491 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.492 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.493 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
8.493 * [backup-simplify]: Simplify 0 into 0
8.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.494 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
8.494 * [backup-simplify]: Simplify 0 into 0
8.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.495 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.495 * [backup-simplify]: Simplify 0 into 0
8.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
8.497 * [backup-simplify]: Simplify 0 into 0
8.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
8.498 * [backup-simplify]: Simplify 0 into 0
8.499 * [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
8.500 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
8.500 * [backup-simplify]: Simplify 0 into 0
8.500 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
8.501 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
8.501 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
8.501 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.501 * [taylor]: Taking taylor expansion of -2 in n
8.501 * [backup-simplify]: Simplify -2 into -2
8.501 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.501 * [taylor]: Taking taylor expansion of PI in n
8.501 * [backup-simplify]: Simplify PI into PI
8.501 * [taylor]: Taking taylor expansion of n in n
8.501 * [backup-simplify]: Simplify 0 into 0
8.501 * [backup-simplify]: Simplify 1 into 1
8.501 * [backup-simplify]: Simplify (/ PI 1) into PI
8.501 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.501 * [taylor]: Taking taylor expansion of -2 in n
8.501 * [backup-simplify]: Simplify -2 into -2
8.501 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.501 * [taylor]: Taking taylor expansion of PI in n
8.501 * [backup-simplify]: Simplify PI into PI
8.501 * [taylor]: Taking taylor expansion of n in n
8.501 * [backup-simplify]: Simplify 0 into 0
8.501 * [backup-simplify]: Simplify 1 into 1
8.501 * [backup-simplify]: Simplify (/ PI 1) into PI
8.502 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.502 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.503 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
8.503 * [backup-simplify]: Simplify 0 into 0
8.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.504 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
8.504 * [backup-simplify]: Simplify 0 into 0
8.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.506 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.506 * [backup-simplify]: Simplify 0 into 0
8.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.507 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
8.507 * [backup-simplify]: Simplify 0 into 0
8.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.509 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
8.509 * [backup-simplify]: Simplify 0 into 0
8.509 * [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
8.510 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
8.510 * [backup-simplify]: Simplify 0 into 0
8.511 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
8.511 * * * * [progress]: [ 3 / 3 ] generating series at (2)
8.511 * [backup-simplify]: Simplify (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
8.511 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
8.511 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
8.511 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
8.511 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
8.511 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
8.511 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
8.511 * [taylor]: Taking taylor expansion of 1/2 in n
8.511 * [backup-simplify]: Simplify 1/2 into 1/2
8.511 * [taylor]: Taking taylor expansion of (- 1 k) in n
8.511 * [taylor]: Taking taylor expansion of 1 in n
8.511 * [backup-simplify]: Simplify 1 into 1
8.511 * [taylor]: Taking taylor expansion of k in n
8.511 * [backup-simplify]: Simplify k into k
8.511 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.511 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.511 * [taylor]: Taking taylor expansion of 2 in n
8.511 * [backup-simplify]: Simplify 2 into 2
8.511 * [taylor]: Taking taylor expansion of (* n PI) in n
8.511 * [taylor]: Taking taylor expansion of n in n
8.511 * [backup-simplify]: Simplify 0 into 0
8.511 * [backup-simplify]: Simplify 1 into 1
8.511 * [taylor]: Taking taylor expansion of PI in n
8.511 * [backup-simplify]: Simplify PI into PI
8.512 * [backup-simplify]: Simplify (* 0 PI) into 0
8.512 * [backup-simplify]: Simplify (* 2 0) into 0
8.513 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.514 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.514 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.514 * [backup-simplify]: Simplify (- k) into (- k)
8.514 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
8.515 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
8.515 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.516 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
8.517 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
8.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
8.517 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.517 * [taylor]: Taking taylor expansion of k in n
8.517 * [backup-simplify]: Simplify k into k
8.517 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.517 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
8.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
8.517 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
8.517 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
8.517 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
8.517 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
8.517 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
8.517 * [taylor]: Taking taylor expansion of 1/2 in k
8.517 * [backup-simplify]: Simplify 1/2 into 1/2
8.517 * [taylor]: Taking taylor expansion of (- 1 k) in k
8.517 * [taylor]: Taking taylor expansion of 1 in k
8.517 * [backup-simplify]: Simplify 1 into 1
8.517 * [taylor]: Taking taylor expansion of k in k
8.517 * [backup-simplify]: Simplify 0 into 0
8.517 * [backup-simplify]: Simplify 1 into 1
8.517 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
8.517 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
8.517 * [taylor]: Taking taylor expansion of 2 in k
8.517 * [backup-simplify]: Simplify 2 into 2
8.517 * [taylor]: Taking taylor expansion of (* n PI) in k
8.517 * [taylor]: Taking taylor expansion of n in k
8.517 * [backup-simplify]: Simplify n into n
8.517 * [taylor]: Taking taylor expansion of PI in k
8.517 * [backup-simplify]: Simplify PI into PI
8.517 * [backup-simplify]: Simplify (* n PI) into (* n PI)
8.517 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
8.517 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
8.518 * [backup-simplify]: Simplify (- 0) into 0
8.518 * [backup-simplify]: Simplify (+ 1 0) into 1
8.518 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.518 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
8.518 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
8.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
8.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.518 * [taylor]: Taking taylor expansion of k in k
8.518 * [backup-simplify]: Simplify 0 into 0
8.518 * [backup-simplify]: Simplify 1 into 1
8.519 * [backup-simplify]: Simplify (/ 1 1) into 1
8.519 * [backup-simplify]: Simplify (sqrt 0) into 0
8.520 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.520 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
8.520 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
8.520 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
8.520 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
8.520 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
8.520 * [taylor]: Taking taylor expansion of 1/2 in k
8.520 * [backup-simplify]: Simplify 1/2 into 1/2
8.520 * [taylor]: Taking taylor expansion of (- 1 k) in k
8.520 * [taylor]: Taking taylor expansion of 1 in k
8.520 * [backup-simplify]: Simplify 1 into 1
8.520 * [taylor]: Taking taylor expansion of k in k
8.520 * [backup-simplify]: Simplify 0 into 0
8.520 * [backup-simplify]: Simplify 1 into 1
8.520 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
8.520 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
8.520 * [taylor]: Taking taylor expansion of 2 in k
8.520 * [backup-simplify]: Simplify 2 into 2
8.520 * [taylor]: Taking taylor expansion of (* n PI) in k
8.520 * [taylor]: Taking taylor expansion of n in k
8.520 * [backup-simplify]: Simplify n into n
8.520 * [taylor]: Taking taylor expansion of PI in k
8.520 * [backup-simplify]: Simplify PI into PI
8.520 * [backup-simplify]: Simplify (* n PI) into (* n PI)
8.520 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
8.520 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
8.521 * [backup-simplify]: Simplify (- 0) into 0
8.521 * [backup-simplify]: Simplify (+ 1 0) into 1
8.521 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.521 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
8.521 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
8.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
8.521 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.521 * [taylor]: Taking taylor expansion of k in k
8.521 * [backup-simplify]: Simplify 0 into 0
8.521 * [backup-simplify]: Simplify 1 into 1
8.522 * [backup-simplify]: Simplify (/ 1 1) into 1
8.522 * [backup-simplify]: Simplify (sqrt 0) into 0
8.523 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.523 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
8.523 * [taylor]: Taking taylor expansion of 0 in n
8.523 * [backup-simplify]: Simplify 0 into 0
8.523 * [backup-simplify]: Simplify 0 into 0
8.523 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
8.523 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
8.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
8.524 * [backup-simplify]: Simplify (- 1) into -1
8.524 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.525 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
8.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
8.526 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
8.526 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
8.526 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
8.526 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
8.526 * [taylor]: Taking taylor expansion of +nan.0 in n
8.526 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.526 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
8.526 * [taylor]: Taking taylor expansion of (sqrt 2) in n
8.526 * [taylor]: Taking taylor expansion of 2 in n
8.526 * [backup-simplify]: Simplify 2 into 2
8.526 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.527 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
8.527 * [taylor]: Taking taylor expansion of (* n PI) in n
8.527 * [taylor]: Taking taylor expansion of n in n
8.527 * [backup-simplify]: Simplify 0 into 0
8.527 * [backup-simplify]: Simplify 1 into 1
8.527 * [taylor]: Taking taylor expansion of PI in n
8.527 * [backup-simplify]: Simplify PI into PI
8.527 * [backup-simplify]: Simplify (* 0 PI) into 0
8.528 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.528 * [backup-simplify]: Simplify (sqrt 0) into 0
8.529 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
8.529 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
8.530 * [backup-simplify]: Simplify (* +nan.0 0) into 0
8.530 * [backup-simplify]: Simplify (- 0) into 0
8.530 * [backup-simplify]: Simplify 0 into 0
8.530 * [backup-simplify]: Simplify 0 into 0
8.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.532 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.533 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
8.533 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
8.534 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
8.534 * [backup-simplify]: Simplify (- 0) into 0
8.535 * [backup-simplify]: Simplify (+ 0 0) into 0
8.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
8.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
8.537 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
8.537 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
8.537 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
8.537 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
8.537 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
8.537 * [taylor]: Taking taylor expansion of +nan.0 in n
8.537 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.537 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
8.537 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
8.537 * [taylor]: Taking taylor expansion of (sqrt 2) in n
8.537 * [taylor]: Taking taylor expansion of 2 in n
8.537 * [backup-simplify]: Simplify 2 into 2
8.538 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.538 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.538 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.538 * [taylor]: Taking taylor expansion of 2 in n
8.538 * [backup-simplify]: Simplify 2 into 2
8.538 * [taylor]: Taking taylor expansion of (* n PI) in n
8.538 * [taylor]: Taking taylor expansion of n in n
8.538 * [backup-simplify]: Simplify 0 into 0
8.538 * [backup-simplify]: Simplify 1 into 1
8.538 * [taylor]: Taking taylor expansion of PI in n
8.538 * [backup-simplify]: Simplify PI into PI
8.538 * [backup-simplify]: Simplify (* 0 PI) into 0
8.539 * [backup-simplify]: Simplify (* 2 0) into 0
8.540 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.541 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.541 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.541 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
8.541 * [taylor]: Taking taylor expansion of (* n PI) in n
8.541 * [taylor]: Taking taylor expansion of n in n
8.541 * [backup-simplify]: Simplify 0 into 0
8.541 * [backup-simplify]: Simplify 1 into 1
8.541 * [taylor]: Taking taylor expansion of PI in n
8.541 * [backup-simplify]: Simplify PI into PI
8.542 * [backup-simplify]: Simplify (* 0 PI) into 0
8.542 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.543 * [backup-simplify]: Simplify (sqrt 0) into 0
8.543 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
8.544 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
8.544 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
8.544 * [taylor]: Taking taylor expansion of +nan.0 in n
8.544 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.544 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
8.544 * [taylor]: Taking taylor expansion of (sqrt 2) in n
8.544 * [taylor]: Taking taylor expansion of 2 in n
8.544 * [backup-simplify]: Simplify 2 into 2
8.544 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.544 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
8.544 * [taylor]: Taking taylor expansion of (* n PI) in n
8.544 * [taylor]: Taking taylor expansion of n in n
8.544 * [backup-simplify]: Simplify 0 into 0
8.544 * [backup-simplify]: Simplify 1 into 1
8.544 * [taylor]: Taking taylor expansion of PI in n
8.544 * [backup-simplify]: Simplify PI into PI
8.545 * [backup-simplify]: Simplify (* 0 PI) into 0
8.546 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.546 * [backup-simplify]: Simplify (sqrt 0) into 0
8.547 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
8.547 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.548 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
8.549 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
8.549 * [backup-simplify]: Simplify (* +nan.0 0) into 0
8.550 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
8.550 * [backup-simplify]: Simplify (* +nan.0 0) into 0
8.550 * [backup-simplify]: Simplify (- 0) into 0
8.551 * [backup-simplify]: Simplify (+ 0 0) into 0
8.551 * [backup-simplify]: Simplify (- 0) into 0
8.551 * [backup-simplify]: Simplify 0 into 0
8.553 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
8.556 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
8.558 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
8.559 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
8.559 * [backup-simplify]: Simplify 0 into 0
8.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.563 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.564 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
8.565 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
8.566 * [backup-simplify]: Simplify (- 0) into 0
8.566 * [backup-simplify]: Simplify (+ 0 0) into 0
8.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
8.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
8.569 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
8.570 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
8.570 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
8.570 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
8.570 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
8.570 * [taylor]: Taking taylor expansion of +nan.0 in n
8.570 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.570 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
8.570 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
8.570 * [taylor]: Taking taylor expansion of (sqrt 2) in n
8.570 * [taylor]: Taking taylor expansion of 2 in n
8.570 * [backup-simplify]: Simplify 2 into 2
8.575 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.576 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.576 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.576 * [taylor]: Taking taylor expansion of 2 in n
8.576 * [backup-simplify]: Simplify 2 into 2
8.576 * [taylor]: Taking taylor expansion of (* n PI) in n
8.576 * [taylor]: Taking taylor expansion of n in n
8.576 * [backup-simplify]: Simplify 0 into 0
8.576 * [backup-simplify]: Simplify 1 into 1
8.576 * [taylor]: Taking taylor expansion of PI in n
8.576 * [backup-simplify]: Simplify PI into PI
8.576 * [backup-simplify]: Simplify (* 0 PI) into 0
8.577 * [backup-simplify]: Simplify (* 2 0) into 0
8.578 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.579 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.579 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.579 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
8.579 * [taylor]: Taking taylor expansion of (* n PI) in n
8.579 * [taylor]: Taking taylor expansion of n in n
8.579 * [backup-simplify]: Simplify 0 into 0
8.580 * [backup-simplify]: Simplify 1 into 1
8.580 * [taylor]: Taking taylor expansion of PI in n
8.580 * [backup-simplify]: Simplify PI into PI
8.580 * [backup-simplify]: Simplify (* 0 PI) into 0
8.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.582 * [backup-simplify]: Simplify (sqrt 0) into 0
8.583 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
8.583 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
8.583 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
8.583 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
8.583 * [taylor]: Taking taylor expansion of +nan.0 in n
8.583 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.583 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
8.583 * [taylor]: Taking taylor expansion of (sqrt 2) in n
8.583 * [taylor]: Taking taylor expansion of 2 in n
8.583 * [backup-simplify]: Simplify 2 into 2
8.584 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.585 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
8.585 * [taylor]: Taking taylor expansion of (* n PI) in n
8.585 * [taylor]: Taking taylor expansion of n in n
8.585 * [backup-simplify]: Simplify 0 into 0
8.585 * [backup-simplify]: Simplify 1 into 1
8.585 * [taylor]: Taking taylor expansion of PI in n
8.585 * [backup-simplify]: Simplify PI into PI
8.585 * [backup-simplify]: Simplify (* 0 PI) into 0
8.587 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.587 * [backup-simplify]: Simplify (sqrt 0) into 0
8.588 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
8.588 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
8.589 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
8.589 * [taylor]: Taking taylor expansion of +nan.0 in n
8.589 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.589 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
8.589 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
8.589 * [taylor]: Taking taylor expansion of (sqrt 2) in n
8.589 * [taylor]: Taking taylor expansion of 2 in n
8.589 * [backup-simplify]: Simplify 2 into 2
8.589 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.590 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
8.590 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.590 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.590 * [taylor]: Taking taylor expansion of 2 in n
8.590 * [backup-simplify]: Simplify 2 into 2
8.590 * [taylor]: Taking taylor expansion of (* n PI) in n
8.590 * [taylor]: Taking taylor expansion of n in n
8.590 * [backup-simplify]: Simplify 0 into 0
8.590 * [backup-simplify]: Simplify 1 into 1
8.590 * [taylor]: Taking taylor expansion of PI in n
8.590 * [backup-simplify]: Simplify PI into PI
8.591 * [backup-simplify]: Simplify (* 0 PI) into 0
8.591 * [backup-simplify]: Simplify (* 2 0) into 0
8.593 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.594 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.595 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.597 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.597 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
8.597 * [taylor]: Taking taylor expansion of (* n PI) in n
8.597 * [taylor]: Taking taylor expansion of n in n
8.597 * [backup-simplify]: Simplify 0 into 0
8.597 * [backup-simplify]: Simplify 1 into 1
8.597 * [taylor]: Taking taylor expansion of PI in n
8.597 * [backup-simplify]: Simplify PI into PI
8.597 * [backup-simplify]: Simplify (* 0 PI) into 0
8.599 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.599 * [backup-simplify]: Simplify (sqrt 0) into 0
8.601 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
8.602 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.604 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
8.605 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
8.605 * [backup-simplify]: Simplify (* +nan.0 0) into 0
8.606 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
8.607 * [backup-simplify]: Simplify (* +nan.0 0) into 0
8.608 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.610 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.612 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
8.614 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
8.615 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
8.616 * [backup-simplify]: Simplify (* +nan.0 0) into 0
8.616 * [backup-simplify]: Simplify (- 0) into 0
8.617 * [backup-simplify]: Simplify (+ 0 0) into 0
8.617 * [backup-simplify]: Simplify (- 0) into 0
8.618 * [backup-simplify]: Simplify (+ 0 0) into 0
8.618 * [backup-simplify]: Simplify (- 0) into 0
8.618 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.620 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
8.622 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.623 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.625 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
8.627 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
8.634 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
8.637 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
8.642 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
8.645 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
8.653 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
8.661 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
8.669 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
8.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.674 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
8.675 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
8.680 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
8.688 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
8.692 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
8.695 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
8.708 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
8.716 * [backup-simplify]: Simplify (* (pow (/ 1 k) -1/2) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
8.716 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
8.716 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
8.716 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
8.716 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
8.716 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
8.716 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
8.716 * [taylor]: Taking taylor expansion of 1/2 in n
8.716 * [backup-simplify]: Simplify 1/2 into 1/2
8.716 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.716 * [taylor]: Taking taylor expansion of 1 in n
8.716 * [backup-simplify]: Simplify 1 into 1
8.716 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.716 * [taylor]: Taking taylor expansion of k in n
8.716 * [backup-simplify]: Simplify k into k
8.716 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.716 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.716 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.716 * [taylor]: Taking taylor expansion of 2 in n
8.716 * [backup-simplify]: Simplify 2 into 2
8.716 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.716 * [taylor]: Taking taylor expansion of PI in n
8.716 * [backup-simplify]: Simplify PI into PI
8.716 * [taylor]: Taking taylor expansion of n in n
8.716 * [backup-simplify]: Simplify 0 into 0
8.716 * [backup-simplify]: Simplify 1 into 1
8.717 * [backup-simplify]: Simplify (/ PI 1) into PI
8.718 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.719 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.719 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.719 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.719 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
8.720 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.721 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.723 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
8.723 * [taylor]: Taking taylor expansion of (sqrt k) in n
8.723 * [taylor]: Taking taylor expansion of k in n
8.723 * [backup-simplify]: Simplify k into k
8.723 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
8.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
8.723 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
8.723 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
8.723 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
8.723 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
8.723 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
8.723 * [taylor]: Taking taylor expansion of 1/2 in k
8.723 * [backup-simplify]: Simplify 1/2 into 1/2
8.723 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
8.723 * [taylor]: Taking taylor expansion of 1 in k
8.723 * [backup-simplify]: Simplify 1 into 1
8.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.723 * [taylor]: Taking taylor expansion of k in k
8.723 * [backup-simplify]: Simplify 0 into 0
8.723 * [backup-simplify]: Simplify 1 into 1
8.724 * [backup-simplify]: Simplify (/ 1 1) into 1
8.724 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
8.724 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
8.724 * [taylor]: Taking taylor expansion of 2 in k
8.724 * [backup-simplify]: Simplify 2 into 2
8.724 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.724 * [taylor]: Taking taylor expansion of PI in k
8.724 * [backup-simplify]: Simplify PI into PI
8.724 * [taylor]: Taking taylor expansion of n in k
8.724 * [backup-simplify]: Simplify n into n
8.724 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.724 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
8.724 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
8.725 * [backup-simplify]: Simplify (- 1) into -1
8.725 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.725 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
8.726 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
8.726 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
8.726 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.726 * [taylor]: Taking taylor expansion of k in k
8.726 * [backup-simplify]: Simplify 0 into 0
8.726 * [backup-simplify]: Simplify 1 into 1
8.726 * [backup-simplify]: Simplify (sqrt 0) into 0
8.728 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.728 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
8.728 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
8.728 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
8.728 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
8.728 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
8.728 * [taylor]: Taking taylor expansion of 1/2 in k
8.728 * [backup-simplify]: Simplify 1/2 into 1/2
8.728 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
8.728 * [taylor]: Taking taylor expansion of 1 in k
8.728 * [backup-simplify]: Simplify 1 into 1
8.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.728 * [taylor]: Taking taylor expansion of k in k
8.728 * [backup-simplify]: Simplify 0 into 0
8.728 * [backup-simplify]: Simplify 1 into 1
8.728 * [backup-simplify]: Simplify (/ 1 1) into 1
8.728 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
8.729 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
8.729 * [taylor]: Taking taylor expansion of 2 in k
8.729 * [backup-simplify]: Simplify 2 into 2
8.729 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.729 * [taylor]: Taking taylor expansion of PI in k
8.729 * [backup-simplify]: Simplify PI into PI
8.729 * [taylor]: Taking taylor expansion of n in k
8.729 * [backup-simplify]: Simplify n into n
8.729 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.729 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
8.729 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
8.729 * [backup-simplify]: Simplify (- 1) into -1
8.730 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.730 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
8.730 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
8.731 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
8.731 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.731 * [taylor]: Taking taylor expansion of k in k
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [backup-simplify]: Simplify 1 into 1
8.731 * [backup-simplify]: Simplify (sqrt 0) into 0
8.732 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.733 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
8.733 * [taylor]: Taking taylor expansion of 0 in n
8.733 * [backup-simplify]: Simplify 0 into 0
8.733 * [backup-simplify]: Simplify 0 into 0
8.733 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
8.733 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
8.733 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
8.733 * [taylor]: Taking taylor expansion of +nan.0 in n
8.733 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.733 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
8.733 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
8.733 * [taylor]: Taking taylor expansion of 1/2 in n
8.733 * [backup-simplify]: Simplify 1/2 into 1/2
8.734 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
8.734 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.734 * [taylor]: Taking taylor expansion of 1 in n
8.734 * [backup-simplify]: Simplify 1 into 1
8.734 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.734 * [taylor]: Taking taylor expansion of k in n
8.734 * [backup-simplify]: Simplify k into k
8.734 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.734 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.734 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.734 * [taylor]: Taking taylor expansion of 2 in n
8.734 * [backup-simplify]: Simplify 2 into 2
8.734 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.734 * [taylor]: Taking taylor expansion of PI in n
8.734 * [backup-simplify]: Simplify PI into PI
8.734 * [taylor]: Taking taylor expansion of n in n
8.734 * [backup-simplify]: Simplify 0 into 0
8.734 * [backup-simplify]: Simplify 1 into 1
8.734 * [backup-simplify]: Simplify (/ PI 1) into PI
8.735 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.736 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.736 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.736 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.737 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.739 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
8.740 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.741 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
8.742 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
8.743 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
8.744 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
8.745 * [backup-simplify]: Simplify 0 into 0
8.748 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.748 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
8.749 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
8.749 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
8.749 * [taylor]: Taking taylor expansion of +nan.0 in n
8.749 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.749 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
8.749 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
8.749 * [taylor]: Taking taylor expansion of 1/2 in n
8.749 * [backup-simplify]: Simplify 1/2 into 1/2
8.749 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
8.749 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.749 * [taylor]: Taking taylor expansion of 1 in n
8.749 * [backup-simplify]: Simplify 1 into 1
8.749 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.749 * [taylor]: Taking taylor expansion of k in n
8.749 * [backup-simplify]: Simplify k into k
8.749 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.749 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.749 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.749 * [taylor]: Taking taylor expansion of 2 in n
8.749 * [backup-simplify]: Simplify 2 into 2
8.749 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.749 * [taylor]: Taking taylor expansion of PI in n
8.749 * [backup-simplify]: Simplify PI into PI
8.749 * [taylor]: Taking taylor expansion of n in n
8.749 * [backup-simplify]: Simplify 0 into 0
8.749 * [backup-simplify]: Simplify 1 into 1
8.750 * [backup-simplify]: Simplify (/ PI 1) into PI
8.750 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.751 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.751 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.751 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.753 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.754 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
8.755 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.756 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
8.757 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
8.759 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
8.760 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
8.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.761 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
8.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.764 * [backup-simplify]: Simplify (- 0) into 0
8.764 * [backup-simplify]: Simplify (+ 0 0) into 0
8.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.767 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
8.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
8.770 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.772 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
8.772 * [backup-simplify]: Simplify (- 0) into 0
8.772 * [backup-simplify]: Simplify 0 into 0
8.772 * [backup-simplify]: Simplify 0 into 0
8.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.777 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
8.778 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
8.778 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
8.778 * [taylor]: Taking taylor expansion of +nan.0 in n
8.778 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.778 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
8.778 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
8.778 * [taylor]: Taking taylor expansion of 1/2 in n
8.778 * [backup-simplify]: Simplify 1/2 into 1/2
8.778 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
8.778 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.778 * [taylor]: Taking taylor expansion of 1 in n
8.778 * [backup-simplify]: Simplify 1 into 1
8.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.778 * [taylor]: Taking taylor expansion of k in n
8.778 * [backup-simplify]: Simplify k into k
8.778 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.778 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.778 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.778 * [taylor]: Taking taylor expansion of 2 in n
8.778 * [backup-simplify]: Simplify 2 into 2
8.778 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.778 * [taylor]: Taking taylor expansion of PI in n
8.778 * [backup-simplify]: Simplify PI into PI
8.778 * [taylor]: Taking taylor expansion of n in n
8.778 * [backup-simplify]: Simplify 0 into 0
8.778 * [backup-simplify]: Simplify 1 into 1
8.779 * [backup-simplify]: Simplify (/ PI 1) into PI
8.779 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.780 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.780 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.780 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.782 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.783 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
8.784 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.785 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
8.786 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
8.788 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
8.789 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
8.792 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
8.793 * [backup-simplify]: Simplify (* (pow (/ 1 (- k)) -1/2) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))))
8.793 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0
8.793 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n
8.793 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n
8.793 * [taylor]: Taking taylor expansion of (/ k -1) in n
8.793 * [taylor]: Taking taylor expansion of k in n
8.793 * [backup-simplify]: Simplify k into k
8.793 * [taylor]: Taking taylor expansion of -1 in n
8.793 * [backup-simplify]: Simplify -1 into -1
8.793 * [backup-simplify]: Simplify (/ k -1) into (* -1 k)
8.793 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k))
8.793 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0
8.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0
8.794 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
8.794 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
8.794 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
8.794 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
8.794 * [taylor]: Taking taylor expansion of 1/2 in n
8.794 * [backup-simplify]: Simplify 1/2 into 1/2
8.794 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
8.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.794 * [taylor]: Taking taylor expansion of k in n
8.794 * [backup-simplify]: Simplify k into k
8.794 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.794 * [taylor]: Taking taylor expansion of 1 in n
8.794 * [backup-simplify]: Simplify 1 into 1
8.794 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.794 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.794 * [taylor]: Taking taylor expansion of -2 in n
8.794 * [backup-simplify]: Simplify -2 into -2
8.794 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.794 * [taylor]: Taking taylor expansion of PI in n
8.794 * [backup-simplify]: Simplify PI into PI
8.794 * [taylor]: Taking taylor expansion of n in n
8.794 * [backup-simplify]: Simplify 0 into 0
8.794 * [backup-simplify]: Simplify 1 into 1
8.794 * [backup-simplify]: Simplify (/ PI 1) into PI
8.794 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.795 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.795 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
8.795 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
8.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.797 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
8.797 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
8.797 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
8.797 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k
8.797 * [taylor]: Taking taylor expansion of (/ k -1) in k
8.797 * [taylor]: Taking taylor expansion of k in k
8.797 * [backup-simplify]: Simplify 0 into 0
8.797 * [backup-simplify]: Simplify 1 into 1
8.797 * [taylor]: Taking taylor expansion of -1 in k
8.797 * [backup-simplify]: Simplify -1 into -1
8.798 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.798 * [backup-simplify]: Simplify (sqrt 0) into 0
8.799 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.799 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
8.799 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
8.799 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
8.799 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
8.799 * [taylor]: Taking taylor expansion of 1/2 in k
8.799 * [backup-simplify]: Simplify 1/2 into 1/2
8.799 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
8.799 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.799 * [taylor]: Taking taylor expansion of k in k
8.799 * [backup-simplify]: Simplify 0 into 0
8.799 * [backup-simplify]: Simplify 1 into 1
8.799 * [backup-simplify]: Simplify (/ 1 1) into 1
8.799 * [taylor]: Taking taylor expansion of 1 in k
8.799 * [backup-simplify]: Simplify 1 into 1
8.799 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
8.799 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
8.799 * [taylor]: Taking taylor expansion of -2 in k
8.799 * [backup-simplify]: Simplify -2 into -2
8.799 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.799 * [taylor]: Taking taylor expansion of PI in k
8.799 * [backup-simplify]: Simplify PI into PI
8.799 * [taylor]: Taking taylor expansion of n in k
8.799 * [backup-simplify]: Simplify n into n
8.799 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.800 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
8.800 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
8.800 * [backup-simplify]: Simplify (+ 1 0) into 1
8.800 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.800 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
8.800 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
8.800 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
8.800 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k
8.800 * [taylor]: Taking taylor expansion of (/ k -1) in k
8.800 * [taylor]: Taking taylor expansion of k in k
8.800 * [backup-simplify]: Simplify 0 into 0
8.800 * [backup-simplify]: Simplify 1 into 1
8.800 * [taylor]: Taking taylor expansion of -1 in k
8.800 * [backup-simplify]: Simplify -1 into -1
8.801 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.801 * [backup-simplify]: Simplify (sqrt 0) into 0
8.802 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.802 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
8.802 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
8.802 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
8.802 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
8.802 * [taylor]: Taking taylor expansion of 1/2 in k
8.802 * [backup-simplify]: Simplify 1/2 into 1/2
8.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
8.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.802 * [taylor]: Taking taylor expansion of k in k
8.802 * [backup-simplify]: Simplify 0 into 0
8.802 * [backup-simplify]: Simplify 1 into 1
8.802 * [backup-simplify]: Simplify (/ 1 1) into 1
8.802 * [taylor]: Taking taylor expansion of 1 in k
8.802 * [backup-simplify]: Simplify 1 into 1
8.802 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
8.802 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
8.802 * [taylor]: Taking taylor expansion of -2 in k
8.802 * [backup-simplify]: Simplify -2 into -2
8.802 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.802 * [taylor]: Taking taylor expansion of PI in k
8.802 * [backup-simplify]: Simplify PI into PI
8.802 * [taylor]: Taking taylor expansion of n in k
8.802 * [backup-simplify]: Simplify n into n
8.802 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.802 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
8.803 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
8.803 * [backup-simplify]: Simplify (+ 1 0) into 1
8.803 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.803 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
8.803 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
8.803 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into 0
8.803 * [taylor]: Taking taylor expansion of 0 in n
8.803 * [backup-simplify]: Simplify 0 into 0
8.804 * [backup-simplify]: Simplify 0 into 0
8.804 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
8.804 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
8.804 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
8.804 * [taylor]: Taking taylor expansion of +nan.0 in n
8.804 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.804 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
8.804 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
8.804 * [taylor]: Taking taylor expansion of 1/2 in n
8.804 * [backup-simplify]: Simplify 1/2 into 1/2
8.804 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
8.804 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.804 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.804 * [taylor]: Taking taylor expansion of -2 in n
8.804 * [backup-simplify]: Simplify -2 into -2
8.804 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.804 * [taylor]: Taking taylor expansion of PI in n
8.804 * [backup-simplify]: Simplify PI into PI
8.804 * [taylor]: Taking taylor expansion of n in n
8.804 * [backup-simplify]: Simplify 0 into 0
8.804 * [backup-simplify]: Simplify 1 into 1
8.805 * [backup-simplify]: Simplify (/ PI 1) into PI
8.805 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.805 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.805 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
8.805 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.805 * [taylor]: Taking taylor expansion of k in n
8.805 * [backup-simplify]: Simplify k into k
8.805 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.805 * [taylor]: Taking taylor expansion of 1 in n
8.806 * [backup-simplify]: Simplify 1 into 1
8.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.806 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
8.807 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
8.808 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
8.808 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
8.809 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
8.810 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
8.811 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
8.811 * [backup-simplify]: Simplify 0 into 0
8.811 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0
8.813 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
8.814 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
8.814 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
8.814 * [taylor]: Taking taylor expansion of +nan.0 in n
8.814 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.814 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
8.814 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
8.814 * [taylor]: Taking taylor expansion of 1/2 in n
8.814 * [backup-simplify]: Simplify 1/2 into 1/2
8.814 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
8.814 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.814 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.814 * [taylor]: Taking taylor expansion of -2 in n
8.814 * [backup-simplify]: Simplify -2 into -2
8.814 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.814 * [taylor]: Taking taylor expansion of PI in n
8.814 * [backup-simplify]: Simplify PI into PI
8.814 * [taylor]: Taking taylor expansion of n in n
8.814 * [backup-simplify]: Simplify 0 into 0
8.814 * [backup-simplify]: Simplify 1 into 1
8.814 * [backup-simplify]: Simplify (/ PI 1) into PI
8.815 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.815 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.815 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
8.815 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.815 * [taylor]: Taking taylor expansion of k in n
8.815 * [backup-simplify]: Simplify k into k
8.816 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.816 * [taylor]: Taking taylor expansion of 1 in n
8.816 * [backup-simplify]: Simplify 1 into 1
8.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.816 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
8.818 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
8.818 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
8.819 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
8.820 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
8.820 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
8.821 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
8.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.822 * [backup-simplify]: Simplify (+ 0 0) into 0
8.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.823 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
8.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
8.826 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
8.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
8.829 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.831 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
8.831 * [backup-simplify]: Simplify (- 0) into 0
8.831 * [backup-simplify]: Simplify 0 into 0
8.832 * [backup-simplify]: Simplify 0 into 0
8.832 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
8.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
8.838 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
8.838 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
8.838 * [taylor]: Taking taylor expansion of +nan.0 in n
8.838 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.838 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
8.838 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
8.838 * [taylor]: Taking taylor expansion of 1/2 in n
8.838 * [backup-simplify]: Simplify 1/2 into 1/2
8.838 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
8.838 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.839 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.839 * [taylor]: Taking taylor expansion of -2 in n
8.839 * [backup-simplify]: Simplify -2 into -2
8.839 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.839 * [taylor]: Taking taylor expansion of PI in n
8.839 * [backup-simplify]: Simplify PI into PI
8.839 * [taylor]: Taking taylor expansion of n in n
8.839 * [backup-simplify]: Simplify 0 into 0
8.839 * [backup-simplify]: Simplify 1 into 1
8.839 * [backup-simplify]: Simplify (/ PI 1) into PI
8.840 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.849 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.849 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
8.849 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.849 * [taylor]: Taking taylor expansion of k in n
8.849 * [backup-simplify]: Simplify k into k
8.849 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.849 * [taylor]: Taking taylor expansion of 1 in n
8.849 * [backup-simplify]: Simplify 1 into 1
8.851 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.851 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
8.852 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
8.853 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
8.854 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
8.855 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
8.856 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
8.858 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
8.862 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)))))))
8.862 * * * [progress]: simplifying candidates
8.862 * * * * [progress]: [ 1 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (log1p (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.862 * * * * [progress]: [ 2 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (expm1 (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.863 * * * * [progress]: [ 3 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
8.863 * * * * [progress]: [ 4 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
8.863 * * * * [progress]: [ 5 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.863 * * * * [progress]: [ 6 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.863 * * * * [progress]: [ 7 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
8.863 * * * * [progress]: [ 8 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
8.863 * * * * [progress]: [ 9 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
8.863 * * * * [progress]: [ 10 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
8.863 * * * * [progress]: [ 11 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
8.863 * * * * [progress]: [ 12 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
8.863 * * * * [progress]: [ 13 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))>
8.863 * * * * [progress]: [ 14 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))>
8.863 * * * * [progress]: [ 15 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))>
8.864 * * * * [progress]: [ 16 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))>
8.864 * * * * [progress]: [ 17 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))>
8.864 * * * * [progress]: [ 18 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))>
8.864 * * * * [progress]: [ 19 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
8.864 * * * * [progress]: [ 20 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
8.864 * * * * [progress]: [ 21 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
8.864 * * * * [progress]: [ 22 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))>
8.864 * * * * [progress]: [ 23 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))>
8.864 * * * * [progress]: [ 24 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))>
8.864 * * * * [progress]: [ 25 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))>
8.864 * * * * [progress]: [ 26 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))>
8.864 * * * * [progress]: [ 27 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))>
8.864 * * * * [progress]: [ 28 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
8.865 * * * * [progress]: [ 29 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
8.865 * * * * [progress]: [ 30 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
8.865 * * * * [progress]: [ 31 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
8.865 * * * * [progress]: [ 32 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
8.865 * * * * [progress]: [ 33 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
8.865 * * * * [progress]: [ 34 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
8.865 * * * * [progress]: [ 35 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.865 * * * * [progress]: [ 36 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.865 * * * * [progress]: [ 37 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.865 * * * * [progress]: [ 38 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.865 * * * * [progress]: [ 39 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.865 * * * * [progress]: [ 40 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.865 * * * * [progress]: [ 41 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
8.865 * * * * [progress]: [ 42 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.866 * * * * [progress]: [ 43 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (log1p (expm1 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.866 * * * * [progress]: [ 44 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (expm1 (log1p (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.866 * * * * [progress]: [ 45 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
8.866 * * * * [progress]: [ 46 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
8.866 * * * * [progress]: [ 47 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
8.866 * * * * [progress]: [ 48 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2))))>
8.866 * * * * [progress]: [ 49 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2))))>
8.866 * * * * [progress]: [ 50 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.866 * * * * [progress]: [ 51 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.866 * * * * [progress]: [ 52 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
8.866 * * * * [progress]: [ 53 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
8.866 * * * * [progress]: [ 54 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.866 * * * * [progress]: [ 55 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.866 * * * * [progress]: [ 56 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.867 * * * * [progress]: [ 57 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
8.867 * * * * [progress]: [ 58 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2))))>
8.867 * * * * [progress]: [ 59 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))>
8.867 * * * * [progress]: [ 60 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2))))>
8.867 * * * * [progress]: [ 61 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
8.867 * * * * [progress]: [ 62 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.867 * * * * [progress]: [ 63 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
8.867 * * * * [progress]: [ 64 / 118 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.867 * * * * [progress]: [ 65 / 118 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.867 * * * * [progress]: [ 66 / 118 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
8.867 * * * * [progress]: [ 67 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
8.868 * * * * [progress]: [ 68 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
8.868 * * * * [progress]: [ 69 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.868 * * * * [progress]: [ 70 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.868 * * * * [progress]: [ 71 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.868 * * * * [progress]: [ 72 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
8.868 * * * * [progress]: [ 73 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
8.868 * * * * [progress]: [ 74 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.868 * * * * [progress]: [ 75 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.868 * * * * [progress]: [ 76 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.869 * * * * [progress]: [ 77 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
8.869 * * * * [progress]: [ 78 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
8.869 * * * * [progress]: [ 79 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.869 * * * * [progress]: [ 80 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.869 * * * * [progress]: [ 81 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.869 * * * * [progress]: [ 82 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.869 * * * * [progress]: [ 83 / 118 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.869 * * * * [progress]: [ 84 / 118 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.869 * * * * [progress]: [ 85 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.869 * * * * [progress]: [ 86 / 118 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.869 * * * * [progress]: [ 87 / 118 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.869 * * * * [progress]: [ 88 / 118 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.869 * * * * [progress]: [ 89 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.870 * * * * [progress]: [ 90 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
8.870 * * * * [progress]: [ 91 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.870 * * * * [progress]: [ 92 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
8.870 * * * * [progress]: [ 93 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.870 * * * * [progress]: [ 94 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
8.870 * * * * [progress]: [ 95 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
8.870 * * * * [progress]: [ 96 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.870 * * * * [progress]: [ 97 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.870 * * * * [progress]: [ 98 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
8.870 * * * * [progress]: [ 99 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))>
8.870 * * * * [progress]: [ 100 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (cbrt k) (cbrt k)) -1/2) (* (pow (cbrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.870 * * * * [progress]: [ 101 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1/2) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.870 * * * * [progress]: [ 102 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow 1 -1/2) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.871 * * * * [progress]: [ 103 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.871 * * * * [progress]: [ 104 / 118 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow k -1/2)) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.871 * * * * [progress]: [ 105 / 118 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.871 * * * * [progress]: [ 106 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k (/ -1/2 2)) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.871 * * * * [progress]: [ 107 / 118 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
8.871 * * * * [progress]: [ 108 / 118 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.871 * * * * [progress]: [ 109 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow k -1/2)))>
8.871 * * * * [progress]: [ 110 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))))>
8.871 * * * * [progress]: [ 111 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
8.871 * * * * [progress]: [ 112 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
8.871 * * * * [progress]: [ 113 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
8.871 * * * * [progress]: [ 114 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
8.871 * * * * [progress]: [ 115 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
8.871 * * * * [progress]: [ 116 / 118 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
8.872 * * * * [progress]: [ 117 / 118 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
8.872 * * * * [progress]: [ 118 / 118 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))))>
8.873 * [simplify]: Simplifying (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)), (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)), (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)), (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (pow (* (* 2 PI) n) (/ 1 2)), (pow (* (* 2 PI) n) (/ k 2)), (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)), (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ 1 1)), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))), (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)), (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 PI) n) (/ 1 (sqrt 2))), (pow (* (* 2 PI) n) (/ 1 1)), (pow (* (* 2 PI) n) 1), (pow (* (* 2 PI) n) (- 1 k)), (pow (* 2 PI) (/ (- 1 k) 2)), (pow n (/ (- 1 k) 2)), (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)), (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)), (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (expm1 (* (* 2 PI) n)), (log1p (* (* 2 PI) n)), (* (* 2 PI) n), (* (* 2 PI) n), (+ (+ (log 2) (log PI)) (log n)), (+ (log (* 2 PI)) (log n)), (log (* (* 2 PI) n)), (exp (* (* 2 PI) n)), (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)), (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)), (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))), (cbrt (* (* 2 PI) n)), (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (sqrt (* (* 2 PI) n)), (* (* 2 PI) (* (cbrt n) (cbrt n))), (* (* 2 PI) (sqrt n)), (* (* 2 PI) 1), (* PI n), (real->posit16 (* (* 2 PI) n)), (expm1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (log1p (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))), (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))), (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))), (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))), (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (+ (log (pow k -1/2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))), (+ (log (pow k -1/2)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))), (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))), (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (log (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (exp (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))), (* (pow k -1/2) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (pow k -1/2) 1), (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))), (* (pow (cbrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (cbrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))), (real->posit16 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))), (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))), (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))), (* 2 (* n PI)), (* 2 (* n PI)), (* 2 (* n PI)), (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))), (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))), (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)))))))
8.878 * * [simplify]: iteration 1: (264 enodes)
9.054 * * [simplify]: Extracting #0: cost 81 inf + 0
9.055 * * [simplify]: Extracting #1: cost 287 inf + 0
9.058 * * [simplify]: Extracting #2: cost 393 inf + 3607
9.065 * * [simplify]: Extracting #3: cost 345 inf + 31827
9.076 * * [simplify]: Extracting #4: cost 221 inf + 91453
9.090 * * [simplify]: Extracting #5: cost 160 inf + 127996
9.120 * * [simplify]: Extracting #6: cost 115 inf + 145995
9.143 * * [simplify]: Extracting #7: cost 79 inf + 165507
9.168 * * [simplify]: Extracting #8: cost 30 inf + 194174
9.201 * * [simplify]: Extracting #9: cost 17 inf + 201293
9.248 * * [simplify]: Extracting #10: cost 8 inf + 209657
9.284 * * [simplify]: Extracting #11: cost 1 inf + 216740
9.325 * * [simplify]: Extracting #12: cost 0 inf + 217545
9.370 * * [simplify]: Extracting #13: cost 0 inf + 217530
9.409 * [simplify]: Simplified to (expm1 (pow (* (* 2 n) PI) (/ (- 1 k) 2))), (log1p (pow (* (* 2 n) PI) (/ (- 1 k) 2))), (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)), (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)), (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)), (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)), (/ (- 1 k) 2), (/ (- 1 k) 2), (/ (- 1 k) 2), (pow (* (* 2 n) PI) 1/2), (pow (* (* 2 n) PI) (/ k 2)), (pow (* (* 2 n) PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* (* 2 n) PI) (sqrt (/ (- 1 k) 2))), (pow (* (* 2 n) PI) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))), (pow (* (* 2 n) PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* (* 2 n) PI) (* (cbrt (- 1 k)) (cbrt (- 1 k)))), (pow (* (* 2 n) PI) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 n) PI) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* (* 2 n) PI) (sqrt (- 1 k))), (pow (* (* 2 n) PI) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 n) PI) (/ 1 (sqrt 2))), (* (* 2 n) PI), (pow (* (* 2 n) PI) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 n) PI) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* 2 n) PI) (+ (sqrt k) 1)), (pow (* (* 2 n) PI) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 n) PI) (/ (+ (sqrt k) 1) (sqrt 2))), (pow (* (* 2 n) PI) (+ (sqrt k) 1)), (pow (* (* 2 n) PI) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* 2 n) PI) (/ 1 (sqrt 2))), (* (* 2 n) PI), (* (* 2 n) PI), (pow (* (* 2 n) PI) (- 1 k)), (pow (* 2 PI) (/ (- 1 k) 2)), (pow n (/ (- 1 k) 2)), (* (/ (- 1 k) 2) (log (* (* 2 n) PI))), (exp (pow (* (* 2 n) PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))), (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))), (* (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (pow (* (* 2 n) PI) (/ (- 1 k) 2))), (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))), (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))), (pow (* (* 2 n) PI) (/ (- 1 k) 4)), (pow (* (* 2 n) PI) (/ (- 1 k) 4)), (real->posit16 (pow (* (* 2 n) PI) (/ (- 1 k) 2))), (expm1 (* (* 2 n) PI)), (log1p (* (* 2 n) PI)), (* (* 2 n) PI), (* (* 2 n) PI), (log (* (* 2 n) PI)), (log (* (* 2 n) PI)), (log (* (* 2 n) PI)), (exp (* (* 2 n) PI)), (* (* (* (* (* 4 2) (* PI PI)) PI) (* n n)) n), (* (* (* (* 2 PI) (* (* 2 PI) (* 2 PI))) (* n n)) n), (* (cbrt (* (* 2 n) PI)) (cbrt (* (* 2 n) PI))), (cbrt (* (* 2 n) PI)), (* (* (* 2 n) PI) (* (* (* 2 n) PI) (* (* 2 n) PI))), (sqrt (* (* 2 n) PI)), (sqrt (* (* 2 n) PI)), (* (* (* 2 PI) (cbrt n)) (cbrt n)), (* (sqrt n) (* 2 PI)), (* 2 PI), (* n PI), (real->posit16 (* (* 2 n) PI)), (expm1 (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))), (log1p (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))), (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2))), (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2))), (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2))), (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2))), (fma (log k) -1/2 (* (/ (- 1 k) 2) (log (* (* 2 n) PI)))), (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2))), (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2))), (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2))), (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2))), (fma (log k) -1/2 (* (/ (- 1 k) 2) (log (* (* 2 n) PI)))), (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2))), (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2))), (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2))), (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2))), (fma (log k) -1/2 (* (/ (- 1 k) 2) (log (* (* 2 n) PI)))), (fma (log k) -1/2 (* (/ (- 1 k) 2) (log (* (* 2 n) PI)))), (exp (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))), (* (* (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (* (pow k -1/2) (* (pow k -1/2) (pow k -1/2)))), (* (cbrt (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))), (cbrt (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))), (* (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (* (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))), (sqrt (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))), (sqrt (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))), (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))), (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))), (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)), (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)), (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (pow k -1/2))), (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (pow k -1/2))), (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (sqrt (pow k -1/2))), (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (sqrt (pow k -1/2))), (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (pow k -1/4)), (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (pow k -1/4)), (* (pow k -1/4) (pow (* (* 2 n) PI) (/ (- 1 k) 4))), (* (pow k -1/4) (pow (* (* 2 n) PI) (/ (- 1 k) 4))), (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow k -1/2)), (* (* (pow k -1/2) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))), (* (pow k -1/2) (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))), (pow k -1/2), (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 4))), (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (pow (cbrt k) -1/2)), (* (pow (sqrt k) -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))), (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))), (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (cbrt (pow k -1/2))), (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt (pow k -1/2))), (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))), (* (pow k -1/4) (pow (* (* 2 n) PI) (/ (- 1 k) 2))), (* (pow k -1/2) (pow (* (* 2 n) PI) 1/2)), (real->posit16 (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))), (- (fma 1/4 (* (* (log (* 2 PI)) (exp (* 1/2 (log (* (* 2 n) PI))))) (* (log n) (* k k))) (fma 1/8 (* (* (exp (* 1/2 (log (* (* 2 n) PI)))) (* (log n) (log n))) (* k k)) (+ (* (* (* (* (log (* 2 PI)) (log (* 2 PI))) (exp (* 1/2 (log (* (* 2 n) PI))))) (* k k)) 1/8) (exp (* 1/2 (log (* (* 2 n) PI))))))) (* 1/2 (+ (* (exp (* 1/2 (log (* (* 2 n) PI)))) (* (log n) k)) (* (log (* 2 PI)) (* (exp (* 1/2 (log (* (* 2 n) PI)))) k))))), (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))), (exp (* (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)) 1/2)), (* (* 2 n) PI), (* (* 2 n) PI), (* (* 2 n) PI), (- (fma +nan.0 (* (* (sqrt 2) n) (* k PI)) (- (- (* (* (* n PI) (sqrt 2)) +nan.0) (- (* (* (log (* 2 PI)) (* (* (sqrt 2) n) (* k PI))) +nan.0) (- (* (* +nan.0 (sqrt 2)) (* (* PI (* (log n) k)) n)) (* (* (* (* PI PI) (* n n)) (sqrt 2)) +nan.0))))))), (- (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) k) (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) (* k k)) (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) (* (* k k) k)) +nan.0)))), (- (- (/ (* +nan.0 (exp (* (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)) 1/2))) (* (* k k) k)) (- (/ (* +nan.0 (exp (* (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)) 1/2))) (* k k)) (* +nan.0 (/ (exp (* (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)) 1/2)) k)))))
9.409 * * * * [progress]: [ 1 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (log1p (expm1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.409 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (log1p (expm1 (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.410 * * * * [progress]: [ 2 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (expm1 (log1p (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.410 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (expm1 (log1p (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.410 * * * * [progress]: [ 3 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
9.410 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.410 * * * * [progress]: [ 4 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
9.410 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.410 * * * * [progress]: [ 5 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
9.410 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.410 * * * * [progress]: [ 6 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
9.410 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.411 * * * * [progress]: [ 7 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
9.411 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
9.411 * * * * [progress]: [ 8 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
9.411 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
9.411 * * * * [progress]: [ 9 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
9.411 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
9.411 * * * * [progress]: [ 10 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
9.411 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (/ (pow (* (* 2 n) PI) 1/2) (pow (* (* 2 PI) n) (/ k 2)))))
9.411 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 n) PI) (/ k 2)))))
9.411 * * * * [progress]: [ 11 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
9.411 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))
9.412 * * * * [progress]: [ 12 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
9.412 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))
9.412 * * * * [progress]: [ 13 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))>
9.412 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))
9.412 * * * * [progress]: [ 14 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))>
9.412 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))
9.412 * * * * [progress]: [ 15 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))>
9.412 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2))))
9.413 * * * * [progress]: [ 16 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))>
9.413 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))
9.413 * * * * [progress]: [ 17 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))>
9.413 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))
9.413 * * * * [progress]: [ 18 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))>
9.413 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2))))
9.413 * * * * [progress]: [ 19 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
9.413 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))
9.413 * * * * [progress]: [ 20 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
9.414 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))
9.414 * * * * [progress]: [ 21 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
9.414 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))
9.414 * * * * [progress]: [ 22 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))>
9.414 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))
9.414 * * * * [progress]: [ 23 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))>
9.414 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (/ (+ (sqrt k) 1) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))
9.415 * * * * [progress]: [ 24 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))>
9.415 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (+ (sqrt k) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))
9.415 * * * * [progress]: [ 25 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))>
9.415 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))
9.415 * * * * [progress]: [ 26 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))>
9.415 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (/ (+ (sqrt k) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))
9.415 * * * * [progress]: [ 27 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))>
9.415 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2))))
9.415 * * * * [progress]: [ 28 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
9.416 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))
9.416 * * * * [progress]: [ 29 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
9.416 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))
9.416 * * * * [progress]: [ 30 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
9.416 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))
9.416 * * * * [progress]: [ 31 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
9.416 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))
9.416 * * * * [progress]: [ 32 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
9.416 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) (- 1 k)) (/ 1 2))))
9.416 * * * * [progress]: [ 33 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
9.417 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))
9.417 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))
9.417 * * * * [progress]: [ 34 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
9.417 * * * * [progress]: [ 35 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.417 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (* (/ (- 1 k) 2) (log (* (* 2 n) PI))))))
9.417 * * * * [progress]: [ 36 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.417 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (log (exp (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.417 * * * * [progress]: [ 37 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.417 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (* (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
9.417 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.418 * * * * [progress]: [ 38 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.418 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (cbrt (* (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.418 * * * * [progress]: [ 39 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.418 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
9.418 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.418 * * * * [progress]: [ 40 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
9.418 * * * * [progress]: [ 41 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
9.418 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))
9.419 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 n) PI) (/ (- 1 k) 4)))))
9.419 * * * * [progress]: [ 42 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.419 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (posit16->real (real->posit16 (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.419 * * * * [progress]: [ 43 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (log1p (expm1 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
9.419 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (log1p (expm1 (* (* 2 n) PI))) (/ (- 1 k) 2))))
9.419 * * * * [progress]: [ 44 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (expm1 (log1p (* (* 2 PI) n))) (/ (- 1 k) 2))))>
9.419 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (expm1 (log1p (* (* 2 n) PI))) (/ (- 1 k) 2))))
9.419 * * * * [progress]: [ 45 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
9.419 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) 1) (/ (- 1 k) 2))))
9.419 * * * * [progress]: [ 46 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
9.419 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 n) PI) 1) (/ (- 1 k) 2))))
9.419 * * * * [progress]: [ 47 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
9.419 * * * * [progress]: [ 48 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2))))>
9.420 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (exp (log (* (* 2 n) PI))) (/ (- 1 k) 2))))
9.420 * * * * [progress]: [ 49 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2))))>
9.420 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (exp (log (* (* 2 n) PI))) (/ (- 1 k) 2))))
9.420 * * * * [progress]: [ 50 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
9.420 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (exp (log (* (* 2 n) PI))) (/ (- 1 k) 2))))
9.420 * * * * [progress]: [ 51 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
9.420 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (log (exp (* (* 2 n) PI))) (/ (- 1 k) 2))))
9.420 * * * * [progress]: [ 52 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
9.420 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* (* 4 2) (* PI PI)) PI) (* n n)) n)) (/ (- 1 k) 2))))
9.420 * * * * [progress]: [ 53 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
9.420 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* 2 PI) (* (* 2 PI) (* 2 PI))) (* n n)) n)) (/ (- 1 k) 2))))
9.420 * * * * [progress]: [ 54 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
9.420 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (* (* (cbrt (* (* 2 n) PI)) (cbrt (* (* 2 n) PI))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))
9.420 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 n) PI))) (/ (- 1 k) 2))))
9.420 * * * * [progress]: [ 55 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
9.420 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* 2 n) PI) (* (* (* 2 n) PI) (* (* 2 n) PI)))) (/ (- 1 k) 2))))
9.421 * * * * [progress]: [ 56 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
9.421 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))
9.421 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 n) PI))) (/ (- 1 k) 2))))
9.421 * * * * [progress]: [ 57 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
9.421 * * * * [progress]: [ 58 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2))))>
9.421 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (* (* (* (* 2 PI) (cbrt n)) (cbrt n)) (cbrt n)) (/ (- 1 k) 2))))
9.421 * * * * [progress]: [ 59 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))>
9.421 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (* (* (sqrt n) (* 2 PI)) (sqrt n)) (/ (- 1 k) 2))))
9.421 * * * * [progress]: [ 60 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2))))>
9.421 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
9.421 * * * * [progress]: [ 61 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
9.421 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))
9.421 * * * * [progress]: [ 62 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
9.421 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (posit16->real (real->posit16 (* (* 2 n) PI))) (/ (- 1 k) 2))))
9.421 * * * * [progress]: [ 63 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
9.421 * * * * [progress]: [ 64 / 118 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.421 * [simplify]: Simplified (2 1) to (λ (k n) (log1p (expm1 (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.421 * * * * [progress]: [ 65 / 118 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.422 * [simplify]: Simplified (2 1) to (λ (k n) (expm1 (log1p (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.422 * * * * [progress]: [ 66 / 118 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
9.422 * * * * [progress]: [ 67 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
9.422 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.422 * * * * [progress]: [ 68 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
9.422 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.422 * * * * [progress]: [ 69 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
9.422 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.422 * * * * [progress]: [ 70 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
9.422 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.422 * * * * [progress]: [ 71 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.422 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (/ (- 1 k) 2) (log (* (* 2 n) PI))))))
9.422 * * * * [progress]: [ 72 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
9.422 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.422 * * * * [progress]: [ 73 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
9.422 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.422 * * * * [progress]: [ 74 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
9.422 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.423 * * * * [progress]: [ 75 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
9.423 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.423 * * * * [progress]: [ 76 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.423 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (/ (- 1 k) 2) (log (* (* 2 n) PI))))))
9.423 * * * * [progress]: [ 77 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
9.423 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.423 * * * * [progress]: [ 78 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
9.423 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.423 * * * * [progress]: [ 79 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
9.423 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.423 * * * * [progress]: [ 80 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
9.423 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (log (* (* 2 n) PI)) (/ (- 1 k) 2)))))
9.423 * * * * [progress]: [ 81 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.423 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (/ (- 1 k) 2) (log (* (* 2 n) PI))))))
9.423 * * * * [progress]: [ 82 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.423 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (/ (- 1 k) 2) (log (* (* 2 n) PI))))))
9.423 * * * * [progress]: [ 83 / 118 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.423 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.424 * * * * [progress]: [ 84 / 118 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.424 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (* (pow k -1/2) (* (pow k -1/2) (pow k -1/2))))))
9.424 * * * * [progress]: [ 85 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.424 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
9.424 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.424 * * * * [progress]: [ 86 / 118 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.424 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (* (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))))))
9.424 * * * * [progress]: [ 87 / 118 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.424 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
9.424 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.424 * * * * [progress]: [ 88 / 118 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
9.424 * * * * [progress]: [ 89 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.424 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
9.424 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.425 * * * * [progress]: [ 90 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
9.425 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))
9.425 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (pow (sqrt k) -1/2))))
9.425 * * * * [progress]: [ 91 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.425 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
9.425 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))))
9.425 * * * * [progress]: [ 92 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
9.425 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (sqrt (pow k -1/2))) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))
9.425 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (sqrt (pow k -1/2)))))
9.425 * * * * [progress]: [ 93 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.425 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (pow k -1/4)) (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))
9.425 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (pow k -1/4))))
9.425 * * * * [progress]: [ 94 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
9.425 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow k -1/4) (pow (* (* 2 n) PI) (/ (- 1 k) 4))) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))
9.426 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow k -1/4) (pow (* (* 2 n) PI) (/ (- 1 k) 4)))))
9.426 * * * * [progress]: [ 95 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
9.426 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow k -1/2)) (pow n (/ (- 1 k) 2))))
9.426 * * * * [progress]: [ 96 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
9.426 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (pow k -1/2) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
9.426 * * * * [progress]: [ 97 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
9.426 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
9.426 * * * * [progress]: [ 98 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
9.426 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
9.426 * * * * [progress]: [ 99 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))>
9.426 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 4))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))
9.426 * * * * [progress]: [ 100 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (cbrt k) (cbrt k)) -1/2) (* (pow (cbrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
9.427 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* (cbrt k) (cbrt k)) -1/2) (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (pow (cbrt k) -1/2))))
9.427 * * * * [progress]: [ 101 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1/2) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
9.427 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (sqrt k) -1/2) (* (pow (sqrt k) -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))))
9.427 * * * * [progress]: [ 102 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow 1 -1/2) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
9.427 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 1 -1/2) (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))))
9.427 * * * * [progress]: [ 103 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
9.427 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (cbrt (pow k -1/2)))))
9.427 * * * * [progress]: [ 104 / 118 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow k -1/2)) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
9.427 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow k -1/2)) (* (pow (* (* 2 n) PI) (/ (- 1 k) 2)) (sqrt (pow k -1/2)))))
9.427 * * * * [progress]: [ 105 / 118 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
9.427 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))))
9.427 * * * * [progress]: [ 106 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k (/ -1/2 2)) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
9.427 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k (/ -1/2 2)) (* (pow k -1/4) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))))
9.427 * * * * [progress]: [ 107 / 118 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
9.427 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 n) PI) 1/2)) (pow (* (* 2 PI) n) (/ k 2))))
9.427 * * * * [progress]: [ 108 / 118 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
9.427 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))))
9.428 * * * * [progress]: [ 109 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow k -1/2)))>
9.428 * * * * [progress]: [ 110 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))))>
9.428 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (- (fma 1/4 (* (* (log (* 2 PI)) (exp (* 1/2 (log (* (* 2 n) PI))))) (* (log n) (* k k))) (fma 1/8 (* (* (exp (* 1/2 (log (* (* 2 n) PI)))) (* (log n) (log n))) (* k k)) (+ (* (* (* (* (log (* 2 PI)) (log (* 2 PI))) (exp (* 1/2 (log (* (* 2 n) PI))))) (* k k)) 1/8) (exp (* 1/2 (log (* (* 2 n) PI))))))) (* 1/2 (+ (* (exp (* 1/2 (log (* (* 2 n) PI)))) (* (log n) k)) (* (log (* 2 PI)) (* (exp (* 1/2 (log (* (* 2 n) PI)))) k)))))))
9.428 * * * * [progress]: [ 111 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
9.428 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))))
9.428 * * * * [progress]: [ 112 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
9.428 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (exp (* (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)) 1/2))))
9.428 * * * * [progress]: [ 113 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
9.428 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))
9.428 * * * * [progress]: [ 114 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
9.428 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))
9.428 * * * * [progress]: [ 115 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
9.428 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 n) PI) (/ (- 1 k) 2))))
9.428 * * * * [progress]: [ 116 / 118 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
9.429 * [simplify]: Simplified (2) to (λ (k n) (- (fma +nan.0 (* (* (sqrt 2) n) (* k PI)) (- (- (* (* (* n PI) (sqrt 2)) +nan.0) (- (* (* (log (* 2 PI)) (* (* (sqrt 2) n) (* k PI))) +nan.0) (- (* (* +nan.0 (sqrt 2)) (* (* PI (* (log n) k)) n)) (* (* (* (* PI PI) (* n n)) (sqrt 2)) +nan.0))))))))
9.429 * * * * [progress]: [ 117 / 118 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
9.429 * [simplify]: Simplified (2) to (λ (k n) (- (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) k) (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) (* k k)) (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) (* (* k k) k)) +nan.0)))))
9.429 * * * * [progress]: [ 118 / 118 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))))>
9.429 * [simplify]: Simplified (2) to (λ (k n) (- (- (/ (* +nan.0 (exp (* (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)) 1/2))) (* (* k k) k)) (- (/ (* +nan.0 (exp (* (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)) 1/2))) (* k k)) (* +nan.0 (/ (exp (* (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)) 1/2)) k))))))
9.429 * * * [progress]: adding candidates to table
10.694 * * [progress]: iteration 4 / 4
10.694 * * * [progress]: picking best candidate
10.727 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
10.728 * * * [progress]: localizing error
10.754 * * * [progress]: generating rewritten candidates
10.754 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
10.791 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
10.814 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
10.832 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
10.870 * * * [progress]: generating series expansions
10.870 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
10.871 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
10.871 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
10.871 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
10.871 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
10.871 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
10.871 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
10.871 * [taylor]: Taking taylor expansion of 1/2 in k
10.871 * [backup-simplify]: Simplify 1/2 into 1/2
10.871 * [taylor]: Taking taylor expansion of (- 1 k) in k
10.871 * [taylor]: Taking taylor expansion of 1 in k
10.871 * [backup-simplify]: Simplify 1 into 1
10.871 * [taylor]: Taking taylor expansion of k in k
10.871 * [backup-simplify]: Simplify 0 into 0
10.871 * [backup-simplify]: Simplify 1 into 1
10.871 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
10.871 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
10.871 * [taylor]: Taking taylor expansion of 2 in k
10.871 * [backup-simplify]: Simplify 2 into 2
10.871 * [taylor]: Taking taylor expansion of (* n PI) in k
10.871 * [taylor]: Taking taylor expansion of n in k
10.872 * [backup-simplify]: Simplify n into n
10.872 * [taylor]: Taking taylor expansion of PI in k
10.872 * [backup-simplify]: Simplify PI into PI
10.872 * [backup-simplify]: Simplify (* n PI) into (* n PI)
10.872 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
10.872 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
10.872 * [backup-simplify]: Simplify (- 0) into 0
10.872 * [backup-simplify]: Simplify (+ 1 0) into 1
10.873 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.873 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
10.873 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
10.873 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
10.873 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
10.873 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
10.873 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
10.873 * [taylor]: Taking taylor expansion of 1/2 in n
10.873 * [backup-simplify]: Simplify 1/2 into 1/2
10.873 * [taylor]: Taking taylor expansion of (- 1 k) in n
10.873 * [taylor]: Taking taylor expansion of 1 in n
10.873 * [backup-simplify]: Simplify 1 into 1
10.873 * [taylor]: Taking taylor expansion of k in n
10.873 * [backup-simplify]: Simplify k into k
10.873 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.873 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.873 * [taylor]: Taking taylor expansion of 2 in n
10.873 * [backup-simplify]: Simplify 2 into 2
10.873 * [taylor]: Taking taylor expansion of (* n PI) in n
10.873 * [taylor]: Taking taylor expansion of n in n
10.873 * [backup-simplify]: Simplify 0 into 0
10.873 * [backup-simplify]: Simplify 1 into 1
10.874 * [taylor]: Taking taylor expansion of PI in n
10.874 * [backup-simplify]: Simplify PI into PI
10.874 * [backup-simplify]: Simplify (* 0 PI) into 0
10.874 * [backup-simplify]: Simplify (* 2 0) into 0
10.875 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.876 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.877 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.877 * [backup-simplify]: Simplify (- k) into (- k)
10.877 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
10.877 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
10.878 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.878 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
10.879 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
10.879 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
10.879 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
10.879 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
10.879 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
10.879 * [taylor]: Taking taylor expansion of 1/2 in n
10.879 * [backup-simplify]: Simplify 1/2 into 1/2
10.879 * [taylor]: Taking taylor expansion of (- 1 k) in n
10.879 * [taylor]: Taking taylor expansion of 1 in n
10.879 * [backup-simplify]: Simplify 1 into 1
10.879 * [taylor]: Taking taylor expansion of k in n
10.879 * [backup-simplify]: Simplify k into k
10.879 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.879 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.879 * [taylor]: Taking taylor expansion of 2 in n
10.879 * [backup-simplify]: Simplify 2 into 2
10.879 * [taylor]: Taking taylor expansion of (* n PI) in n
10.879 * [taylor]: Taking taylor expansion of n in n
10.879 * [backup-simplify]: Simplify 0 into 0
10.879 * [backup-simplify]: Simplify 1 into 1
10.879 * [taylor]: Taking taylor expansion of PI in n
10.879 * [backup-simplify]: Simplify PI into PI
10.880 * [backup-simplify]: Simplify (* 0 PI) into 0
10.880 * [backup-simplify]: Simplify (* 2 0) into 0
10.881 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.882 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.882 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.882 * [backup-simplify]: Simplify (- k) into (- k)
10.882 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
10.882 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
10.888 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.888 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
10.889 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
10.889 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
10.889 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
10.889 * [taylor]: Taking taylor expansion of 1/2 in k
10.889 * [backup-simplify]: Simplify 1/2 into 1/2
10.889 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
10.889 * [taylor]: Taking taylor expansion of (- 1 k) in k
10.889 * [taylor]: Taking taylor expansion of 1 in k
10.889 * [backup-simplify]: Simplify 1 into 1
10.889 * [taylor]: Taking taylor expansion of k in k
10.889 * [backup-simplify]: Simplify 0 into 0
10.889 * [backup-simplify]: Simplify 1 into 1
10.889 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
10.889 * [taylor]: Taking taylor expansion of (log n) in k
10.889 * [taylor]: Taking taylor expansion of n in k
10.889 * [backup-simplify]: Simplify n into n
10.890 * [backup-simplify]: Simplify (log n) into (log n)
10.890 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
10.890 * [taylor]: Taking taylor expansion of (* 2 PI) in k
10.890 * [taylor]: Taking taylor expansion of 2 in k
10.890 * [backup-simplify]: Simplify 2 into 2
10.890 * [taylor]: Taking taylor expansion of PI in k
10.890 * [backup-simplify]: Simplify PI into PI
10.890 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.890 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.891 * [backup-simplify]: Simplify (- 0) into 0
10.891 * [backup-simplify]: Simplify (+ 1 0) into 1
10.892 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.892 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
10.893 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
10.894 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
10.894 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
10.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
10.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
10.896 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.897 * [backup-simplify]: Simplify (- 0) into 0
10.897 * [backup-simplify]: Simplify (+ 0 0) into 0
10.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
10.898 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.899 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
10.900 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.900 * [taylor]: Taking taylor expansion of 0 in k
10.900 * [backup-simplify]: Simplify 0 into 0
10.900 * [backup-simplify]: Simplify 0 into 0
10.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
10.902 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.903 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.904 * [backup-simplify]: Simplify (+ 0 0) into 0
10.904 * [backup-simplify]: Simplify (- 1) into -1
10.905 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.906 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
10.908 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
10.911 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
10.914 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
10.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
10.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
10.920 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.920 * [backup-simplify]: Simplify (- 0) into 0
10.920 * [backup-simplify]: Simplify (+ 0 0) into 0
10.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
10.923 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.924 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.926 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.926 * [taylor]: Taking taylor expansion of 0 in k
10.926 * [backup-simplify]: Simplify 0 into 0
10.926 * [backup-simplify]: Simplify 0 into 0
10.926 * [backup-simplify]: Simplify 0 into 0
10.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
10.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
10.932 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.933 * [backup-simplify]: Simplify (+ 0 0) into 0
10.933 * [backup-simplify]: Simplify (- 0) into 0
10.933 * [backup-simplify]: Simplify (+ 0 0) into 0
10.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.941 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
10.946 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
10.955 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
10.956 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
10.956 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
10.956 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
10.956 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
10.956 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
10.956 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
10.956 * [taylor]: Taking taylor expansion of 1/2 in k
10.956 * [backup-simplify]: Simplify 1/2 into 1/2
10.956 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
10.956 * [taylor]: Taking taylor expansion of 1 in k
10.956 * [backup-simplify]: Simplify 1 into 1
10.956 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.956 * [taylor]: Taking taylor expansion of k in k
10.956 * [backup-simplify]: Simplify 0 into 0
10.956 * [backup-simplify]: Simplify 1 into 1
10.957 * [backup-simplify]: Simplify (/ 1 1) into 1
10.957 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
10.957 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
10.957 * [taylor]: Taking taylor expansion of 2 in k
10.957 * [backup-simplify]: Simplify 2 into 2
10.957 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.957 * [taylor]: Taking taylor expansion of PI in k
10.957 * [backup-simplify]: Simplify PI into PI
10.957 * [taylor]: Taking taylor expansion of n in k
10.957 * [backup-simplify]: Simplify n into n
10.957 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.957 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
10.957 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
10.958 * [backup-simplify]: Simplify (- 1) into -1
10.958 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.958 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
10.959 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
10.959 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
10.959 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
10.959 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.959 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.959 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
10.959 * [taylor]: Taking taylor expansion of 1/2 in n
10.959 * [backup-simplify]: Simplify 1/2 into 1/2
10.959 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
10.959 * [taylor]: Taking taylor expansion of 1 in n
10.959 * [backup-simplify]: Simplify 1 into 1
10.959 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.959 * [taylor]: Taking taylor expansion of k in n
10.959 * [backup-simplify]: Simplify k into k
10.959 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.959 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.959 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.959 * [taylor]: Taking taylor expansion of 2 in n
10.959 * [backup-simplify]: Simplify 2 into 2
10.959 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.959 * [taylor]: Taking taylor expansion of PI in n
10.959 * [backup-simplify]: Simplify PI into PI
10.959 * [taylor]: Taking taylor expansion of n in n
10.959 * [backup-simplify]: Simplify 0 into 0
10.960 * [backup-simplify]: Simplify 1 into 1
10.960 * [backup-simplify]: Simplify (/ PI 1) into PI
10.961 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.962 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.962 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
10.962 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
10.962 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
10.964 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.965 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
10.966 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
10.966 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
10.966 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.966 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.966 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
10.966 * [taylor]: Taking taylor expansion of 1/2 in n
10.966 * [backup-simplify]: Simplify 1/2 into 1/2
10.966 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
10.966 * [taylor]: Taking taylor expansion of 1 in n
10.966 * [backup-simplify]: Simplify 1 into 1
10.966 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.966 * [taylor]: Taking taylor expansion of k in n
10.966 * [backup-simplify]: Simplify k into k
10.966 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.966 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.966 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.966 * [taylor]: Taking taylor expansion of 2 in n
10.967 * [backup-simplify]: Simplify 2 into 2
10.967 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.967 * [taylor]: Taking taylor expansion of PI in n
10.967 * [backup-simplify]: Simplify PI into PI
10.967 * [taylor]: Taking taylor expansion of n in n
10.967 * [backup-simplify]: Simplify 0 into 0
10.967 * [backup-simplify]: Simplify 1 into 1
10.967 * [backup-simplify]: Simplify (/ PI 1) into PI
10.968 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.968 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.968 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
10.968 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
10.968 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
10.969 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.970 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
10.971 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
10.971 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
10.971 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
10.971 * [taylor]: Taking taylor expansion of 1/2 in k
10.971 * [backup-simplify]: Simplify 1/2 into 1/2
10.971 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
10.971 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
10.971 * [taylor]: Taking taylor expansion of 1 in k
10.971 * [backup-simplify]: Simplify 1 into 1
10.971 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.971 * [taylor]: Taking taylor expansion of k in k
10.971 * [backup-simplify]: Simplify 0 into 0
10.971 * [backup-simplify]: Simplify 1 into 1
10.971 * [backup-simplify]: Simplify (/ 1 1) into 1
10.971 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
10.971 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
10.971 * [taylor]: Taking taylor expansion of (* 2 PI) in k
10.971 * [taylor]: Taking taylor expansion of 2 in k
10.971 * [backup-simplify]: Simplify 2 into 2
10.971 * [taylor]: Taking taylor expansion of PI in k
10.971 * [backup-simplify]: Simplify PI into PI
10.972 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.974 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.974 * [taylor]: Taking taylor expansion of (log n) in k
10.974 * [taylor]: Taking taylor expansion of n in k
10.974 * [backup-simplify]: Simplify n into n
10.974 * [backup-simplify]: Simplify (log n) into (log n)
10.974 * [backup-simplify]: Simplify (- 1) into -1
10.975 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.975 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.975 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
10.976 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
10.977 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
10.977 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
10.978 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
10.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.979 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.980 * [backup-simplify]: Simplify (- 0) into 0
10.980 * [backup-simplify]: Simplify (+ 0 0) into 0
10.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
10.982 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.982 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
10.983 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.983 * [taylor]: Taking taylor expansion of 0 in k
10.983 * [backup-simplify]: Simplify 0 into 0
10.983 * [backup-simplify]: Simplify 0 into 0
10.984 * [backup-simplify]: Simplify 0 into 0
10.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
10.986 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.987 * [backup-simplify]: Simplify (- 0) into 0
10.987 * [backup-simplify]: Simplify (+ 0 0) into 0
10.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
10.988 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.989 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
10.991 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.991 * [taylor]: Taking taylor expansion of 0 in k
10.991 * [backup-simplify]: Simplify 0 into 0
10.991 * [backup-simplify]: Simplify 0 into 0
10.991 * [backup-simplify]: Simplify 0 into 0
10.991 * [backup-simplify]: Simplify 0 into 0
10.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
10.995 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
10.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.996 * [backup-simplify]: Simplify (- 0) into 0
10.996 * [backup-simplify]: Simplify (+ 0 0) into 0
10.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
11.004 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.006 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
11.009 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.009 * [taylor]: Taking taylor expansion of 0 in k
11.009 * [backup-simplify]: Simplify 0 into 0
11.009 * [backup-simplify]: Simplify 0 into 0
11.011 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
11.012 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
11.012 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
11.012 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
11.012 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
11.012 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
11.012 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
11.012 * [taylor]: Taking taylor expansion of 1/2 in k
11.012 * [backup-simplify]: Simplify 1/2 into 1/2
11.012 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
11.012 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.012 * [taylor]: Taking taylor expansion of k in k
11.012 * [backup-simplify]: Simplify 0 into 0
11.012 * [backup-simplify]: Simplify 1 into 1
11.012 * [backup-simplify]: Simplify (/ 1 1) into 1
11.012 * [taylor]: Taking taylor expansion of 1 in k
11.012 * [backup-simplify]: Simplify 1 into 1
11.013 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
11.013 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
11.013 * [taylor]: Taking taylor expansion of -2 in k
11.013 * [backup-simplify]: Simplify -2 into -2
11.013 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.013 * [taylor]: Taking taylor expansion of PI in k
11.013 * [backup-simplify]: Simplify PI into PI
11.013 * [taylor]: Taking taylor expansion of n in k
11.013 * [backup-simplify]: Simplify n into n
11.013 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.013 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
11.013 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
11.013 * [backup-simplify]: Simplify (+ 1 0) into 1
11.014 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.014 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
11.014 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
11.014 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
11.014 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
11.014 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
11.014 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
11.014 * [taylor]: Taking taylor expansion of 1/2 in n
11.014 * [backup-simplify]: Simplify 1/2 into 1/2
11.014 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.015 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.015 * [taylor]: Taking taylor expansion of k in n
11.015 * [backup-simplify]: Simplify k into k
11.015 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.015 * [taylor]: Taking taylor expansion of 1 in n
11.015 * [backup-simplify]: Simplify 1 into 1
11.015 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.015 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.015 * [taylor]: Taking taylor expansion of -2 in n
11.015 * [backup-simplify]: Simplify -2 into -2
11.015 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.015 * [taylor]: Taking taylor expansion of PI in n
11.015 * [backup-simplify]: Simplify PI into PI
11.015 * [taylor]: Taking taylor expansion of n in n
11.015 * [backup-simplify]: Simplify 0 into 0
11.015 * [backup-simplify]: Simplify 1 into 1
11.015 * [backup-simplify]: Simplify (/ PI 1) into PI
11.016 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.018 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.018 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.019 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
11.020 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.021 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.023 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.023 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
11.023 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
11.023 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
11.023 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
11.023 * [taylor]: Taking taylor expansion of 1/2 in n
11.023 * [backup-simplify]: Simplify 1/2 into 1/2
11.023 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.023 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.023 * [taylor]: Taking taylor expansion of k in n
11.023 * [backup-simplify]: Simplify k into k
11.023 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.023 * [taylor]: Taking taylor expansion of 1 in n
11.023 * [backup-simplify]: Simplify 1 into 1
11.023 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.023 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.023 * [taylor]: Taking taylor expansion of -2 in n
11.023 * [backup-simplify]: Simplify -2 into -2
11.023 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.023 * [taylor]: Taking taylor expansion of PI in n
11.023 * [backup-simplify]: Simplify PI into PI
11.023 * [taylor]: Taking taylor expansion of n in n
11.023 * [backup-simplify]: Simplify 0 into 0
11.023 * [backup-simplify]: Simplify 1 into 1
11.024 * [backup-simplify]: Simplify (/ PI 1) into PI
11.024 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.025 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.025 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.025 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
11.027 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.028 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.029 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.029 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
11.029 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
11.029 * [taylor]: Taking taylor expansion of 1/2 in k
11.029 * [backup-simplify]: Simplify 1/2 into 1/2
11.029 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
11.029 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
11.029 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.029 * [taylor]: Taking taylor expansion of k in k
11.029 * [backup-simplify]: Simplify 0 into 0
11.029 * [backup-simplify]: Simplify 1 into 1
11.030 * [backup-simplify]: Simplify (/ 1 1) into 1
11.030 * [taylor]: Taking taylor expansion of 1 in k
11.030 * [backup-simplify]: Simplify 1 into 1
11.030 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
11.030 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
11.030 * [taylor]: Taking taylor expansion of (* -2 PI) in k
11.030 * [taylor]: Taking taylor expansion of -2 in k
11.030 * [backup-simplify]: Simplify -2 into -2
11.030 * [taylor]: Taking taylor expansion of PI in k
11.030 * [backup-simplify]: Simplify PI into PI
11.031 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.032 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.032 * [taylor]: Taking taylor expansion of (log n) in k
11.032 * [taylor]: Taking taylor expansion of n in k
11.032 * [backup-simplify]: Simplify n into n
11.032 * [backup-simplify]: Simplify (log n) into (log n)
11.032 * [backup-simplify]: Simplify (+ 1 0) into 1
11.032 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.033 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
11.034 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
11.035 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
11.037 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.038 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.039 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
11.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
11.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.042 * [backup-simplify]: Simplify (+ 0 0) into 0
11.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
11.044 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.045 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
11.047 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.047 * [taylor]: Taking taylor expansion of 0 in k
11.047 * [backup-simplify]: Simplify 0 into 0
11.047 * [backup-simplify]: Simplify 0 into 0
11.047 * [backup-simplify]: Simplify 0 into 0
11.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.049 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
11.053 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
11.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.053 * [backup-simplify]: Simplify (+ 0 0) into 0
11.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
11.056 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.057 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
11.060 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.060 * [taylor]: Taking taylor expansion of 0 in k
11.060 * [backup-simplify]: Simplify 0 into 0
11.060 * [backup-simplify]: Simplify 0 into 0
11.060 * [backup-simplify]: Simplify 0 into 0
11.060 * [backup-simplify]: Simplify 0 into 0
11.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.063 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.068 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
11.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.069 * [backup-simplify]: Simplify (+ 0 0) into 0
11.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
11.073 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.075 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
11.077 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.077 * [taylor]: Taking taylor expansion of 0 in k
11.078 * [backup-simplify]: Simplify 0 into 0
11.078 * [backup-simplify]: Simplify 0 into 0
11.079 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
11.079 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
11.079 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
11.079 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
11.080 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.080 * [taylor]: Taking taylor expansion of 2 in n
11.080 * [backup-simplify]: Simplify 2 into 2
11.080 * [taylor]: Taking taylor expansion of (* n PI) in n
11.080 * [taylor]: Taking taylor expansion of n in n
11.080 * [backup-simplify]: Simplify 0 into 0
11.080 * [backup-simplify]: Simplify 1 into 1
11.080 * [taylor]: Taking taylor expansion of PI in n
11.080 * [backup-simplify]: Simplify PI into PI
11.080 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.080 * [taylor]: Taking taylor expansion of 2 in n
11.080 * [backup-simplify]: Simplify 2 into 2
11.080 * [taylor]: Taking taylor expansion of (* n PI) in n
11.080 * [taylor]: Taking taylor expansion of n in n
11.080 * [backup-simplify]: Simplify 0 into 0
11.080 * [backup-simplify]: Simplify 1 into 1
11.080 * [taylor]: Taking taylor expansion of PI in n
11.080 * [backup-simplify]: Simplify PI into PI
11.081 * [backup-simplify]: Simplify (* 0 PI) into 0
11.081 * [backup-simplify]: Simplify (* 2 0) into 0
11.081 * [backup-simplify]: Simplify 0 into 0
11.083 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.085 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.085 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
11.087 * [backup-simplify]: Simplify 0 into 0
11.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
11.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
11.090 * [backup-simplify]: Simplify 0 into 0
11.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
11.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
11.092 * [backup-simplify]: Simplify 0 into 0
11.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
11.096 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
11.096 * [backup-simplify]: Simplify 0 into 0
11.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
11.099 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
11.099 * [backup-simplify]: Simplify 0 into 0
11.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
11.102 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
11.103 * [backup-simplify]: Simplify 0 into 0
11.103 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
11.104 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
11.104 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
11.104 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.104 * [taylor]: Taking taylor expansion of 2 in n
11.104 * [backup-simplify]: Simplify 2 into 2
11.104 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.104 * [taylor]: Taking taylor expansion of PI in n
11.104 * [backup-simplify]: Simplify PI into PI
11.104 * [taylor]: Taking taylor expansion of n in n
11.104 * [backup-simplify]: Simplify 0 into 0
11.104 * [backup-simplify]: Simplify 1 into 1
11.104 * [backup-simplify]: Simplify (/ PI 1) into PI
11.104 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.104 * [taylor]: Taking taylor expansion of 2 in n
11.104 * [backup-simplify]: Simplify 2 into 2
11.104 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.104 * [taylor]: Taking taylor expansion of PI in n
11.104 * [backup-simplify]: Simplify PI into PI
11.104 * [taylor]: Taking taylor expansion of n in n
11.104 * [backup-simplify]: Simplify 0 into 0
11.104 * [backup-simplify]: Simplify 1 into 1
11.105 * [backup-simplify]: Simplify (/ PI 1) into PI
11.105 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.106 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.107 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.108 * [backup-simplify]: Simplify 0 into 0
11.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.110 * [backup-simplify]: Simplify 0 into 0
11.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.112 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.112 * [backup-simplify]: Simplify 0 into 0
11.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.114 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
11.114 * [backup-simplify]: Simplify 0 into 0
11.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
11.117 * [backup-simplify]: Simplify 0 into 0
11.118 * [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
11.120 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
11.120 * [backup-simplify]: Simplify 0 into 0
11.120 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
11.121 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
11.121 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
11.121 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.121 * [taylor]: Taking taylor expansion of -2 in n
11.121 * [backup-simplify]: Simplify -2 into -2
11.121 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.121 * [taylor]: Taking taylor expansion of PI in n
11.121 * [backup-simplify]: Simplify PI into PI
11.121 * [taylor]: Taking taylor expansion of n in n
11.121 * [backup-simplify]: Simplify 0 into 0
11.121 * [backup-simplify]: Simplify 1 into 1
11.122 * [backup-simplify]: Simplify (/ PI 1) into PI
11.122 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.122 * [taylor]: Taking taylor expansion of -2 in n
11.122 * [backup-simplify]: Simplify -2 into -2
11.122 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.122 * [taylor]: Taking taylor expansion of PI in n
11.122 * [backup-simplify]: Simplify PI into PI
11.122 * [taylor]: Taking taylor expansion of n in n
11.122 * [backup-simplify]: Simplify 0 into 0
11.122 * [backup-simplify]: Simplify 1 into 1
11.123 * [backup-simplify]: Simplify (/ PI 1) into PI
11.123 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.123 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.125 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
11.125 * [backup-simplify]: Simplify 0 into 0
11.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.127 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
11.127 * [backup-simplify]: Simplify 0 into 0
11.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.130 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.130 * [backup-simplify]: Simplify 0 into 0
11.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.132 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
11.132 * [backup-simplify]: Simplify 0 into 0
11.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.135 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
11.135 * [backup-simplify]: Simplify 0 into 0
11.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.137 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
11.137 * [backup-simplify]: Simplify 0 into 0
11.138 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
11.138 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
11.139 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k))
11.139 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in (k n) around 0
11.139 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in n
11.139 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n
11.139 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
11.139 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
11.139 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
11.139 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
11.139 * [taylor]: Taking taylor expansion of 1/2 in n
11.139 * [backup-simplify]: Simplify 1/2 into 1/2
11.139 * [taylor]: Taking taylor expansion of (- 1 k) in n
11.139 * [taylor]: Taking taylor expansion of 1 in n
11.139 * [backup-simplify]: Simplify 1 into 1
11.139 * [taylor]: Taking taylor expansion of k in n
11.139 * [backup-simplify]: Simplify k into k
11.139 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.139 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.139 * [taylor]: Taking taylor expansion of 2 in n
11.139 * [backup-simplify]: Simplify 2 into 2
11.139 * [taylor]: Taking taylor expansion of (* n PI) in n
11.139 * [taylor]: Taking taylor expansion of n in n
11.139 * [backup-simplify]: Simplify 0 into 0
11.139 * [backup-simplify]: Simplify 1 into 1
11.139 * [taylor]: Taking taylor expansion of PI in n
11.139 * [backup-simplify]: Simplify PI into PI
11.140 * [backup-simplify]: Simplify (* 0 PI) into 0
11.140 * [backup-simplify]: Simplify (* 2 0) into 0
11.141 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.143 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.144 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.144 * [backup-simplify]: Simplify (- k) into (- k)
11.144 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
11.144 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
11.145 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.146 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
11.147 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
11.148 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))))
11.148 * [taylor]: Taking taylor expansion of (sqrt k) in n
11.148 * [taylor]: Taking taylor expansion of k in n
11.148 * [backup-simplify]: Simplify k into k
11.148 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
11.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
11.148 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k
11.148 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k
11.148 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
11.149 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
11.149 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
11.149 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
11.149 * [taylor]: Taking taylor expansion of 1/2 in k
11.149 * [backup-simplify]: Simplify 1/2 into 1/2
11.149 * [taylor]: Taking taylor expansion of (- 1 k) in k
11.149 * [taylor]: Taking taylor expansion of 1 in k
11.149 * [backup-simplify]: Simplify 1 into 1
11.149 * [taylor]: Taking taylor expansion of k in k
11.149 * [backup-simplify]: Simplify 0 into 0
11.149 * [backup-simplify]: Simplify 1 into 1
11.149 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
11.149 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
11.149 * [taylor]: Taking taylor expansion of 2 in k
11.149 * [backup-simplify]: Simplify 2 into 2
11.149 * [taylor]: Taking taylor expansion of (* n PI) in k
11.149 * [taylor]: Taking taylor expansion of n in k
11.149 * [backup-simplify]: Simplify n into n
11.149 * [taylor]: Taking taylor expansion of PI in k
11.149 * [backup-simplify]: Simplify PI into PI
11.149 * [backup-simplify]: Simplify (* n PI) into (* n PI)
11.149 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
11.149 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
11.150 * [backup-simplify]: Simplify (- 0) into 0
11.150 * [backup-simplify]: Simplify (+ 1 0) into 1
11.150 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.151 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
11.151 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
11.151 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
11.151 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.151 * [taylor]: Taking taylor expansion of k in k
11.151 * [backup-simplify]: Simplify 0 into 0
11.151 * [backup-simplify]: Simplify 1 into 1
11.151 * [backup-simplify]: Simplify (sqrt 0) into 0
11.153 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.153 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k
11.153 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k
11.153 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
11.153 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
11.153 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
11.153 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
11.153 * [taylor]: Taking taylor expansion of 1/2 in k
11.153 * [backup-simplify]: Simplify 1/2 into 1/2
11.153 * [taylor]: Taking taylor expansion of (- 1 k) in k
11.153 * [taylor]: Taking taylor expansion of 1 in k
11.153 * [backup-simplify]: Simplify 1 into 1
11.153 * [taylor]: Taking taylor expansion of k in k
11.153 * [backup-simplify]: Simplify 0 into 0
11.153 * [backup-simplify]: Simplify 1 into 1
11.153 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
11.154 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
11.154 * [taylor]: Taking taylor expansion of 2 in k
11.154 * [backup-simplify]: Simplify 2 into 2
11.154 * [taylor]: Taking taylor expansion of (* n PI) in k
11.154 * [taylor]: Taking taylor expansion of n in k
11.154 * [backup-simplify]: Simplify n into n
11.154 * [taylor]: Taking taylor expansion of PI in k
11.154 * [backup-simplify]: Simplify PI into PI
11.154 * [backup-simplify]: Simplify (* n PI) into (* n PI)
11.154 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
11.154 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
11.154 * [backup-simplify]: Simplify (- 0) into 0
11.155 * [backup-simplify]: Simplify (+ 1 0) into 1
11.155 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.155 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
11.155 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
11.156 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
11.156 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.156 * [taylor]: Taking taylor expansion of k in k
11.156 * [backup-simplify]: Simplify 0 into 0
11.156 * [backup-simplify]: Simplify 1 into 1
11.163 * [backup-simplify]: Simplify (sqrt 0) into 0
11.164 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.165 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
11.165 * [taylor]: Taking taylor expansion of 0 in n
11.165 * [backup-simplify]: Simplify 0 into 0
11.165 * [backup-simplify]: Simplify 0 into 0
11.165 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
11.166 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
11.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
11.167 * [backup-simplify]: Simplify (- 1) into -1
11.168 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.169 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
11.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
11.170 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
11.170 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))
11.172 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))
11.172 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
11.172 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
11.172 * [taylor]: Taking taylor expansion of +nan.0 in n
11.172 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.172 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
11.172 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
11.172 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
11.172 * [taylor]: Taking taylor expansion of (* n PI) in n
11.173 * [taylor]: Taking taylor expansion of n in n
11.173 * [backup-simplify]: Simplify 0 into 0
11.173 * [backup-simplify]: Simplify 1 into 1
11.173 * [taylor]: Taking taylor expansion of PI in n
11.173 * [backup-simplify]: Simplify PI into PI
11.173 * [backup-simplify]: Simplify (* 0 PI) into 0
11.175 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.175 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
11.176 * [backup-simplify]: Simplify (sqrt 0) into 0
11.178 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
11.178 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.178 * [taylor]: Taking taylor expansion of 1/2 in n
11.178 * [backup-simplify]: Simplify 1/2 into 1/2
11.178 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.183 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.183 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
11.189 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.193 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.196 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.196 * [backup-simplify]: Simplify 0 into 0
11.199 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.200 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
11.201 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
11.203 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
11.203 * [backup-simplify]: Simplify (- 0) into 0
11.204 * [backup-simplify]: Simplify (+ 0 0) into 0
11.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
11.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
11.208 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
11.211 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))
11.217 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))))
11.217 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n
11.217 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n
11.217 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
11.217 * [taylor]: Taking taylor expansion of +nan.0 in n
11.218 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.218 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
11.218 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
11.218 * [taylor]: Taking taylor expansion of (sqrt 2) in n
11.218 * [taylor]: Taking taylor expansion of 2 in n
11.218 * [backup-simplify]: Simplify 2 into 2
11.218 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
11.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
11.219 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
11.219 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.219 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.219 * [taylor]: Taking taylor expansion of 2 in n
11.219 * [backup-simplify]: Simplify 2 into 2
11.219 * [taylor]: Taking taylor expansion of (* n PI) in n
11.219 * [taylor]: Taking taylor expansion of n in n
11.219 * [backup-simplify]: Simplify 0 into 0
11.219 * [backup-simplify]: Simplify 1 into 1
11.219 * [taylor]: Taking taylor expansion of PI in n
11.219 * [backup-simplify]: Simplify PI into PI
11.220 * [backup-simplify]: Simplify (* 0 PI) into 0
11.220 * [backup-simplify]: Simplify (* 2 0) into 0
11.222 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.223 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.224 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.224 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
11.224 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.224 * [taylor]: Taking taylor expansion of 1/2 in n
11.224 * [backup-simplify]: Simplify 1/2 into 1/2
11.225 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.225 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
11.225 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
11.225 * [taylor]: Taking taylor expansion of (* n PI) in n
11.225 * [taylor]: Taking taylor expansion of n in n
11.225 * [backup-simplify]: Simplify 0 into 0
11.225 * [backup-simplify]: Simplify 1 into 1
11.226 * [taylor]: Taking taylor expansion of PI in n
11.226 * [backup-simplify]: Simplify PI into PI
11.226 * [backup-simplify]: Simplify (* 0 PI) into 0
11.227 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.228 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
11.228 * [backup-simplify]: Simplify (sqrt 0) into 0
11.230 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
11.230 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
11.230 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
11.230 * [taylor]: Taking taylor expansion of +nan.0 in n
11.230 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.230 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
11.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
11.230 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
11.230 * [taylor]: Taking taylor expansion of (* n PI) in n
11.230 * [taylor]: Taking taylor expansion of n in n
11.230 * [backup-simplify]: Simplify 0 into 0
11.230 * [backup-simplify]: Simplify 1 into 1
11.230 * [taylor]: Taking taylor expansion of PI in n
11.230 * [backup-simplify]: Simplify PI into PI
11.231 * [backup-simplify]: Simplify (* 0 PI) into 0
11.232 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.233 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
11.233 * [backup-simplify]: Simplify (sqrt 0) into 0
11.236 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
11.236 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.236 * [taylor]: Taking taylor expansion of 1/2 in n
11.236 * [backup-simplify]: Simplify 1/2 into 1/2
11.236 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.238 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.240 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
11.242 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
11.244 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))
11.246 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.246 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
11.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.248 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
11.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.252 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
11.254 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
11.257 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
11.260 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
11.272 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
11.275 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.275 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
11.280 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.284 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
11.298 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
11.324 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
11.336 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
11.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
11.341 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
11.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
11.350 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
11.352 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
11.355 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
11.370 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
11.371 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2))) into (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k)))
11.371 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
11.371 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in n
11.371 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n
11.371 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
11.371 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
11.371 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
11.371 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
11.371 * [taylor]: Taking taylor expansion of 1/2 in n
11.371 * [backup-simplify]: Simplify 1/2 into 1/2
11.371 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.371 * [taylor]: Taking taylor expansion of 1 in n
11.371 * [backup-simplify]: Simplify 1 into 1
11.371 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.371 * [taylor]: Taking taylor expansion of k in n
11.371 * [backup-simplify]: Simplify k into k
11.371 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.371 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.371 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.371 * [taylor]: Taking taylor expansion of 2 in n
11.371 * [backup-simplify]: Simplify 2 into 2
11.371 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.371 * [taylor]: Taking taylor expansion of PI in n
11.371 * [backup-simplify]: Simplify PI into PI
11.371 * [taylor]: Taking taylor expansion of n in n
11.371 * [backup-simplify]: Simplify 0 into 0
11.371 * [backup-simplify]: Simplify 1 into 1
11.371 * [backup-simplify]: Simplify (/ PI 1) into PI
11.372 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.372 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.372 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.373 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.373 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
11.373 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.374 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.375 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.376 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.376 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.376 * [taylor]: Taking taylor expansion of k in n
11.376 * [backup-simplify]: Simplify k into k
11.376 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.377 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.377 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k
11.377 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k
11.377 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
11.377 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
11.377 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
11.377 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
11.377 * [taylor]: Taking taylor expansion of 1/2 in k
11.377 * [backup-simplify]: Simplify 1/2 into 1/2
11.377 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
11.377 * [taylor]: Taking taylor expansion of 1 in k
11.377 * [backup-simplify]: Simplify 1 into 1
11.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.377 * [taylor]: Taking taylor expansion of k in k
11.377 * [backup-simplify]: Simplify 0 into 0
11.377 * [backup-simplify]: Simplify 1 into 1
11.377 * [backup-simplify]: Simplify (/ 1 1) into 1
11.377 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
11.377 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
11.377 * [taylor]: Taking taylor expansion of 2 in k
11.377 * [backup-simplify]: Simplify 2 into 2
11.377 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.377 * [taylor]: Taking taylor expansion of PI in k
11.377 * [backup-simplify]: Simplify PI into PI
11.377 * [taylor]: Taking taylor expansion of n in k
11.377 * [backup-simplify]: Simplify n into n
11.377 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.377 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
11.378 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
11.378 * [backup-simplify]: Simplify (- 1) into -1
11.378 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.378 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
11.379 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
11.379 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
11.379 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))
11.379 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.379 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.379 * [taylor]: Taking taylor expansion of k in k
11.379 * [backup-simplify]: Simplify 0 into 0
11.379 * [backup-simplify]: Simplify 1 into 1
11.379 * [backup-simplify]: Simplify (/ 1 1) into 1
11.379 * [backup-simplify]: Simplify (sqrt 0) into 0
11.380 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.380 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k
11.380 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k
11.380 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
11.380 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
11.380 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
11.381 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
11.381 * [taylor]: Taking taylor expansion of 1/2 in k
11.381 * [backup-simplify]: Simplify 1/2 into 1/2
11.381 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
11.381 * [taylor]: Taking taylor expansion of 1 in k
11.381 * [backup-simplify]: Simplify 1 into 1
11.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.381 * [taylor]: Taking taylor expansion of k in k
11.381 * [backup-simplify]: Simplify 0 into 0
11.381 * [backup-simplify]: Simplify 1 into 1
11.381 * [backup-simplify]: Simplify (/ 1 1) into 1
11.381 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
11.381 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
11.381 * [taylor]: Taking taylor expansion of 2 in k
11.381 * [backup-simplify]: Simplify 2 into 2
11.381 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.381 * [taylor]: Taking taylor expansion of PI in k
11.381 * [backup-simplify]: Simplify PI into PI
11.381 * [taylor]: Taking taylor expansion of n in k
11.381 * [backup-simplify]: Simplify n into n
11.381 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.381 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
11.381 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
11.381 * [backup-simplify]: Simplify (- 1) into -1
11.382 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.382 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
11.382 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
11.382 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
11.382 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))
11.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.382 * [taylor]: Taking taylor expansion of k in k
11.382 * [backup-simplify]: Simplify 0 into 0
11.382 * [backup-simplify]: Simplify 1 into 1
11.383 * [backup-simplify]: Simplify (/ 1 1) into 1
11.383 * [backup-simplify]: Simplify (sqrt 0) into 0
11.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.384 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 0) into 0
11.384 * [taylor]: Taking taylor expansion of 0 in n
11.384 * [backup-simplify]: Simplify 0 into 0
11.384 * [backup-simplify]: Simplify 0 into 0
11.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0
11.384 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))
11.385 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n
11.385 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
11.385 * [taylor]: Taking taylor expansion of +nan.0 in n
11.385 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.385 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
11.385 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
11.385 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
11.385 * [taylor]: Taking taylor expansion of 1/2 in n
11.385 * [backup-simplify]: Simplify 1/2 into 1/2
11.385 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
11.385 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.385 * [taylor]: Taking taylor expansion of 1 in n
11.385 * [backup-simplify]: Simplify 1 into 1
11.385 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.385 * [taylor]: Taking taylor expansion of k in n
11.385 * [backup-simplify]: Simplify k into k
11.385 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.385 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.385 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.385 * [taylor]: Taking taylor expansion of 2 in n
11.385 * [backup-simplify]: Simplify 2 into 2
11.385 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.385 * [taylor]: Taking taylor expansion of PI in n
11.385 * [backup-simplify]: Simplify PI into PI
11.385 * [taylor]: Taking taylor expansion of n in n
11.385 * [backup-simplify]: Simplify 0 into 0
11.385 * [backup-simplify]: Simplify 1 into 1
11.385 * [backup-simplify]: Simplify (/ PI 1) into PI
11.386 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.386 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.386 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.386 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.387 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.388 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
11.388 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.389 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.390 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.390 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.391 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
11.392 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
11.392 * [backup-simplify]: Simplify 0 into 0
11.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.396 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0
11.398 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))
11.398 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n
11.398 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
11.398 * [taylor]: Taking taylor expansion of +nan.0 in n
11.398 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.398 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
11.398 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
11.398 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
11.398 * [taylor]: Taking taylor expansion of 1/2 in n
11.398 * [backup-simplify]: Simplify 1/2 into 1/2
11.398 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
11.398 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.398 * [taylor]: Taking taylor expansion of 1 in n
11.398 * [backup-simplify]: Simplify 1 into 1
11.398 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.398 * [taylor]: Taking taylor expansion of k in n
11.398 * [backup-simplify]: Simplify k into k
11.398 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.398 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.398 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.398 * [taylor]: Taking taylor expansion of 2 in n
11.398 * [backup-simplify]: Simplify 2 into 2
11.398 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.398 * [taylor]: Taking taylor expansion of PI in n
11.398 * [backup-simplify]: Simplify PI into PI
11.398 * [taylor]: Taking taylor expansion of n in n
11.399 * [backup-simplify]: Simplify 0 into 0
11.399 * [backup-simplify]: Simplify 1 into 1
11.399 * [backup-simplify]: Simplify (/ PI 1) into PI
11.399 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.400 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.401 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.401 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.402 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.403 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
11.404 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.405 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.406 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.407 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.409 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
11.410 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
11.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.416 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.418 * [backup-simplify]: Simplify (- 0) into 0
11.418 * [backup-simplify]: Simplify (+ 0 0) into 0
11.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.419 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
11.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
11.421 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0
11.424 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0
11.424 * [backup-simplify]: Simplify (- 0) into 0
11.424 * [backup-simplify]: Simplify 0 into 0
11.424 * [backup-simplify]: Simplify 0 into 0
11.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0
11.428 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))
11.428 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n
11.428 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
11.428 * [taylor]: Taking taylor expansion of +nan.0 in n
11.428 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.428 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
11.428 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
11.428 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
11.428 * [taylor]: Taking taylor expansion of 1/2 in n
11.428 * [backup-simplify]: Simplify 1/2 into 1/2
11.428 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
11.428 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.428 * [taylor]: Taking taylor expansion of 1 in n
11.428 * [backup-simplify]: Simplify 1 into 1
11.428 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.428 * [taylor]: Taking taylor expansion of k in n
11.428 * [backup-simplify]: Simplify k into k
11.428 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.428 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.428 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.428 * [taylor]: Taking taylor expansion of 2 in n
11.428 * [backup-simplify]: Simplify 2 into 2
11.428 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.428 * [taylor]: Taking taylor expansion of PI in n
11.428 * [backup-simplify]: Simplify PI into PI
11.428 * [taylor]: Taking taylor expansion of n in n
11.428 * [backup-simplify]: Simplify 0 into 0
11.428 * [backup-simplify]: Simplify 1 into 1
11.429 * [backup-simplify]: Simplify (/ PI 1) into PI
11.429 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.429 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.429 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.430 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.430 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.431 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
11.432 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.432 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.433 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.434 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.434 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
11.435 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
11.437 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))))
11.438 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))))
11.438 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0
11.438 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n
11.438 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
11.438 * [taylor]: Taking taylor expansion of (/ -1 k) in n
11.438 * [taylor]: Taking taylor expansion of -1 in n
11.438 * [backup-simplify]: Simplify -1 into -1
11.438 * [taylor]: Taking taylor expansion of k in n
11.438 * [backup-simplify]: Simplify k into k
11.438 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
11.438 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
11.438 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
11.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
11.438 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
11.438 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
11.438 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
11.438 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
11.438 * [taylor]: Taking taylor expansion of 1/2 in n
11.438 * [backup-simplify]: Simplify 1/2 into 1/2
11.438 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.438 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.438 * [taylor]: Taking taylor expansion of k in n
11.438 * [backup-simplify]: Simplify k into k
11.439 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.439 * [taylor]: Taking taylor expansion of 1 in n
11.439 * [backup-simplify]: Simplify 1 into 1
11.439 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.439 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.439 * [taylor]: Taking taylor expansion of -2 in n
11.439 * [backup-simplify]: Simplify -2 into -2
11.439 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.439 * [taylor]: Taking taylor expansion of PI in n
11.439 * [backup-simplify]: Simplify PI into PI
11.439 * [taylor]: Taking taylor expansion of n in n
11.439 * [backup-simplify]: Simplify 0 into 0
11.439 * [backup-simplify]: Simplify 1 into 1
11.439 * [backup-simplify]: Simplify (/ PI 1) into PI
11.439 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.440 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.440 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.440 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
11.441 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.442 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.442 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.443 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
11.443 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
11.443 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
11.443 * [taylor]: Taking taylor expansion of (/ -1 k) in k
11.443 * [taylor]: Taking taylor expansion of -1 in k
11.443 * [backup-simplify]: Simplify -1 into -1
11.443 * [taylor]: Taking taylor expansion of k in k
11.443 * [backup-simplify]: Simplify 0 into 0
11.443 * [backup-simplify]: Simplify 1 into 1
11.444 * [backup-simplify]: Simplify (/ -1 1) into -1
11.444 * [backup-simplify]: Simplify (sqrt 0) into 0
11.445 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
11.445 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
11.445 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
11.445 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
11.445 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
11.445 * [taylor]: Taking taylor expansion of 1/2 in k
11.445 * [backup-simplify]: Simplify 1/2 into 1/2
11.445 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
11.445 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.445 * [taylor]: Taking taylor expansion of k in k
11.445 * [backup-simplify]: Simplify 0 into 0
11.445 * [backup-simplify]: Simplify 1 into 1
11.445 * [backup-simplify]: Simplify (/ 1 1) into 1
11.445 * [taylor]: Taking taylor expansion of 1 in k
11.445 * [backup-simplify]: Simplify 1 into 1
11.445 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
11.445 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
11.445 * [taylor]: Taking taylor expansion of -2 in k
11.445 * [backup-simplify]: Simplify -2 into -2
11.445 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.445 * [taylor]: Taking taylor expansion of PI in k
11.445 * [backup-simplify]: Simplify PI into PI
11.445 * [taylor]: Taking taylor expansion of n in k
11.445 * [backup-simplify]: Simplify n into n
11.445 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.445 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
11.446 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
11.446 * [backup-simplify]: Simplify (+ 1 0) into 1
11.446 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.446 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
11.446 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
11.446 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
11.446 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
11.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
11.446 * [taylor]: Taking taylor expansion of (/ -1 k) in k
11.446 * [taylor]: Taking taylor expansion of -1 in k
11.447 * [backup-simplify]: Simplify -1 into -1
11.447 * [taylor]: Taking taylor expansion of k in k
11.447 * [backup-simplify]: Simplify 0 into 0
11.447 * [backup-simplify]: Simplify 1 into 1
11.447 * [backup-simplify]: Simplify (/ -1 1) into -1
11.447 * [backup-simplify]: Simplify (sqrt 0) into 0
11.448 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
11.448 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
11.448 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
11.448 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
11.448 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
11.448 * [taylor]: Taking taylor expansion of 1/2 in k
11.448 * [backup-simplify]: Simplify 1/2 into 1/2
11.448 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
11.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.448 * [taylor]: Taking taylor expansion of k in k
11.448 * [backup-simplify]: Simplify 0 into 0
11.448 * [backup-simplify]: Simplify 1 into 1
11.448 * [backup-simplify]: Simplify (/ 1 1) into 1
11.448 * [taylor]: Taking taylor expansion of 1 in k
11.448 * [backup-simplify]: Simplify 1 into 1
11.448 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
11.448 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
11.448 * [taylor]: Taking taylor expansion of -2 in k
11.448 * [backup-simplify]: Simplify -2 into -2
11.448 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.448 * [taylor]: Taking taylor expansion of PI in k
11.448 * [backup-simplify]: Simplify PI into PI
11.448 * [taylor]: Taking taylor expansion of n in k
11.449 * [backup-simplify]: Simplify n into n
11.449 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.449 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
11.449 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
11.449 * [backup-simplify]: Simplify (+ 1 0) into 1
11.449 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.449 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
11.450 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
11.450 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
11.450 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
11.450 * [taylor]: Taking taylor expansion of +nan.0 in n
11.450 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.450 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
11.450 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
11.450 * [taylor]: Taking taylor expansion of 1/2 in n
11.450 * [backup-simplify]: Simplify 1/2 into 1/2
11.450 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
11.450 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.450 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.450 * [taylor]: Taking taylor expansion of -2 in n
11.450 * [backup-simplify]: Simplify -2 into -2
11.450 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.450 * [taylor]: Taking taylor expansion of PI in n
11.450 * [backup-simplify]: Simplify PI into PI
11.450 * [taylor]: Taking taylor expansion of n in n
11.450 * [backup-simplify]: Simplify 0 into 0
11.450 * [backup-simplify]: Simplify 1 into 1
11.450 * [backup-simplify]: Simplify (/ PI 1) into PI
11.451 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.451 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.451 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.451 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.451 * [taylor]: Taking taylor expansion of k in n
11.451 * [backup-simplify]: Simplify k into k
11.451 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.451 * [taylor]: Taking taylor expansion of 1 in n
11.451 * [backup-simplify]: Simplify 1 into 1
11.452 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.452 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.453 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
11.454 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.454 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.455 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
11.456 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
11.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.460 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.461 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))
11.461 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n
11.461 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
11.461 * [taylor]: Taking taylor expansion of +nan.0 in n
11.461 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.461 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
11.461 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
11.461 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
11.461 * [taylor]: Taking taylor expansion of 1/2 in n
11.461 * [backup-simplify]: Simplify 1/2 into 1/2
11.461 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
11.461 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.461 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.461 * [taylor]: Taking taylor expansion of -2 in n
11.461 * [backup-simplify]: Simplify -2 into -2
11.461 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.461 * [taylor]: Taking taylor expansion of PI in n
11.461 * [backup-simplify]: Simplify PI into PI
11.461 * [taylor]: Taking taylor expansion of n in n
11.461 * [backup-simplify]: Simplify 0 into 0
11.462 * [backup-simplify]: Simplify 1 into 1
11.462 * [backup-simplify]: Simplify (/ PI 1) into PI
11.462 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.463 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.464 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.464 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.464 * [taylor]: Taking taylor expansion of k in n
11.464 * [backup-simplify]: Simplify k into k
11.464 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.464 * [taylor]: Taking taylor expansion of 1 in n
11.464 * [backup-simplify]: Simplify 1 into 1
11.465 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.465 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.466 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
11.467 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.469 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.470 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
11.471 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
11.472 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
11.473 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
11.475 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.475 * [backup-simplify]: Simplify (+ 0 0) into 0
11.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.477 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
11.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
11.480 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
11.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
11.483 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.486 * [backup-simplify]: Simplify (- (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0
11.486 * [backup-simplify]: Simplify 0 into 0
11.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.492 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))
11.492 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n
11.492 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
11.492 * [taylor]: Taking taylor expansion of +nan.0 in n
11.492 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.492 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
11.492 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
11.492 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
11.492 * [taylor]: Taking taylor expansion of 1/2 in n
11.492 * [backup-simplify]: Simplify 1/2 into 1/2
11.492 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
11.492 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.492 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.492 * [taylor]: Taking taylor expansion of -2 in n
11.492 * [backup-simplify]: Simplify -2 into -2
11.492 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.492 * [taylor]: Taking taylor expansion of PI in n
11.492 * [backup-simplify]: Simplify PI into PI
11.492 * [taylor]: Taking taylor expansion of n in n
11.492 * [backup-simplify]: Simplify 0 into 0
11.492 * [backup-simplify]: Simplify 1 into 1
11.493 * [backup-simplify]: Simplify (/ PI 1) into PI
11.493 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.494 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.494 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.494 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.494 * [taylor]: Taking taylor expansion of k in n
11.494 * [backup-simplify]: Simplify k into k
11.494 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.494 * [taylor]: Taking taylor expansion of 1 in n
11.494 * [backup-simplify]: Simplify 1 into 1
11.496 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.496 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.497 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
11.498 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.499 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.500 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
11.501 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
11.502 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
11.503 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
11.507 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))
11.507 * * * * [progress]: [ 4 / 4 ] generating series at (2)
11.507 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
11.507 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
11.507 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
11.507 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
11.507 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
11.507 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
11.507 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
11.508 * [taylor]: Taking taylor expansion of 1/2 in n
11.508 * [backup-simplify]: Simplify 1/2 into 1/2
11.508 * [taylor]: Taking taylor expansion of (- 1 k) in n
11.508 * [taylor]: Taking taylor expansion of 1 in n
11.508 * [backup-simplify]: Simplify 1 into 1
11.508 * [taylor]: Taking taylor expansion of k in n
11.508 * [backup-simplify]: Simplify k into k
11.508 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.508 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.508 * [taylor]: Taking taylor expansion of 2 in n
11.508 * [backup-simplify]: Simplify 2 into 2
11.508 * [taylor]: Taking taylor expansion of (* n PI) in n
11.508 * [taylor]: Taking taylor expansion of n in n
11.508 * [backup-simplify]: Simplify 0 into 0
11.508 * [backup-simplify]: Simplify 1 into 1
11.508 * [taylor]: Taking taylor expansion of PI in n
11.508 * [backup-simplify]: Simplify PI into PI
11.508 * [backup-simplify]: Simplify (* 0 PI) into 0
11.509 * [backup-simplify]: Simplify (* 2 0) into 0
11.510 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.511 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.512 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.512 * [backup-simplify]: Simplify (- k) into (- k)
11.512 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
11.512 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
11.514 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.515 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
11.515 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
11.515 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.515 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.515 * [taylor]: Taking taylor expansion of k in n
11.515 * [backup-simplify]: Simplify k into k
11.516 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.516 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.516 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
11.516 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
11.516 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
11.516 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
11.516 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
11.516 * [taylor]: Taking taylor expansion of 1/2 in k
11.516 * [backup-simplify]: Simplify 1/2 into 1/2
11.516 * [taylor]: Taking taylor expansion of (- 1 k) in k
11.516 * [taylor]: Taking taylor expansion of 1 in k
11.516 * [backup-simplify]: Simplify 1 into 1
11.516 * [taylor]: Taking taylor expansion of k in k
11.516 * [backup-simplify]: Simplify 0 into 0
11.516 * [backup-simplify]: Simplify 1 into 1
11.516 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
11.516 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
11.516 * [taylor]: Taking taylor expansion of 2 in k
11.516 * [backup-simplify]: Simplify 2 into 2
11.516 * [taylor]: Taking taylor expansion of (* n PI) in k
11.516 * [taylor]: Taking taylor expansion of n in k
11.516 * [backup-simplify]: Simplify n into n
11.516 * [taylor]: Taking taylor expansion of PI in k
11.516 * [backup-simplify]: Simplify PI into PI
11.516 * [backup-simplify]: Simplify (* n PI) into (* n PI)
11.516 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
11.516 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
11.516 * [backup-simplify]: Simplify (- 0) into 0
11.517 * [backup-simplify]: Simplify (+ 1 0) into 1
11.517 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.517 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
11.517 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
11.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.517 * [taylor]: Taking taylor expansion of k in k
11.517 * [backup-simplify]: Simplify 0 into 0
11.517 * [backup-simplify]: Simplify 1 into 1
11.517 * [backup-simplify]: Simplify (/ 1 1) into 1
11.518 * [backup-simplify]: Simplify (sqrt 0) into 0
11.518 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.518 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
11.518 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
11.519 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
11.519 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
11.519 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
11.519 * [taylor]: Taking taylor expansion of 1/2 in k
11.519 * [backup-simplify]: Simplify 1/2 into 1/2
11.519 * [taylor]: Taking taylor expansion of (- 1 k) in k
11.519 * [taylor]: Taking taylor expansion of 1 in k
11.519 * [backup-simplify]: Simplify 1 into 1
11.519 * [taylor]: Taking taylor expansion of k in k
11.519 * [backup-simplify]: Simplify 0 into 0
11.519 * [backup-simplify]: Simplify 1 into 1
11.519 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
11.519 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
11.519 * [taylor]: Taking taylor expansion of 2 in k
11.519 * [backup-simplify]: Simplify 2 into 2
11.519 * [taylor]: Taking taylor expansion of (* n PI) in k
11.519 * [taylor]: Taking taylor expansion of n in k
11.519 * [backup-simplify]: Simplify n into n
11.519 * [taylor]: Taking taylor expansion of PI in k
11.519 * [backup-simplify]: Simplify PI into PI
11.519 * [backup-simplify]: Simplify (* n PI) into (* n PI)
11.519 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
11.519 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
11.519 * [backup-simplify]: Simplify (- 0) into 0
11.519 * [backup-simplify]: Simplify (+ 1 0) into 1
11.520 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.520 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
11.520 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
11.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.520 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.520 * [taylor]: Taking taylor expansion of k in k
11.520 * [backup-simplify]: Simplify 0 into 0
11.520 * [backup-simplify]: Simplify 1 into 1
11.520 * [backup-simplify]: Simplify (/ 1 1) into 1
11.520 * [backup-simplify]: Simplify (sqrt 0) into 0
11.521 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.521 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
11.521 * [taylor]: Taking taylor expansion of 0 in n
11.521 * [backup-simplify]: Simplify 0 into 0
11.521 * [backup-simplify]: Simplify 0 into 0
11.522 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
11.522 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
11.527 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
11.527 * [backup-simplify]: Simplify (- 1) into -1
11.528 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.528 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
11.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
11.529 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
11.529 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
11.529 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
11.529 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
11.529 * [taylor]: Taking taylor expansion of +nan.0 in n
11.529 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.529 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
11.529 * [taylor]: Taking taylor expansion of (sqrt 2) in n
11.529 * [taylor]: Taking taylor expansion of 2 in n
11.529 * [backup-simplify]: Simplify 2 into 2
11.529 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
11.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
11.530 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
11.530 * [taylor]: Taking taylor expansion of (* n PI) in n
11.530 * [taylor]: Taking taylor expansion of n in n
11.530 * [backup-simplify]: Simplify 0 into 0
11.530 * [backup-simplify]: Simplify 1 into 1
11.530 * [taylor]: Taking taylor expansion of PI in n
11.530 * [backup-simplify]: Simplify PI into PI
11.530 * [backup-simplify]: Simplify (* 0 PI) into 0
11.531 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.531 * [backup-simplify]: Simplify (sqrt 0) into 0
11.532 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
11.532 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
11.532 * [backup-simplify]: Simplify (* +nan.0 0) into 0
11.533 * [backup-simplify]: Simplify (- 0) into 0
11.533 * [backup-simplify]: Simplify 0 into 0
11.533 * [backup-simplify]: Simplify 0 into 0
11.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.535 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.535 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
11.536 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
11.537 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
11.537 * [backup-simplify]: Simplify (- 0) into 0
11.537 * [backup-simplify]: Simplify (+ 0 0) into 0
11.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
11.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
11.539 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
11.540 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
11.540 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
11.540 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
11.540 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
11.540 * [taylor]: Taking taylor expansion of +nan.0 in n
11.540 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.540 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
11.540 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
11.540 * [taylor]: Taking taylor expansion of (sqrt 2) in n
11.540 * [taylor]: Taking taylor expansion of 2 in n
11.540 * [backup-simplify]: Simplify 2 into 2
11.540 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
11.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
11.540 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.541 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.541 * [taylor]: Taking taylor expansion of 2 in n
11.541 * [backup-simplify]: Simplify 2 into 2
11.541 * [taylor]: Taking taylor expansion of (* n PI) in n
11.541 * [taylor]: Taking taylor expansion of n in n
11.541 * [backup-simplify]: Simplify 0 into 0
11.541 * [backup-simplify]: Simplify 1 into 1
11.541 * [taylor]: Taking taylor expansion of PI in n
11.541 * [backup-simplify]: Simplify PI into PI
11.541 * [backup-simplify]: Simplify (* 0 PI) into 0
11.541 * [backup-simplify]: Simplify (* 2 0) into 0
11.542 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.543 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.544 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.544 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
11.544 * [taylor]: Taking taylor expansion of (* n PI) in n
11.544 * [taylor]: Taking taylor expansion of n in n
11.544 * [backup-simplify]: Simplify 0 into 0
11.544 * [backup-simplify]: Simplify 1 into 1
11.544 * [taylor]: Taking taylor expansion of PI in n
11.544 * [backup-simplify]: Simplify PI into PI
11.544 * [backup-simplify]: Simplify (* 0 PI) into 0
11.545 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.545 * [backup-simplify]: Simplify (sqrt 0) into 0
11.546 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
11.546 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
11.546 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
11.546 * [taylor]: Taking taylor expansion of +nan.0 in n
11.546 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.546 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
11.546 * [taylor]: Taking taylor expansion of (sqrt 2) in n
11.546 * [taylor]: Taking taylor expansion of 2 in n
11.546 * [backup-simplify]: Simplify 2 into 2
11.547 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
11.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
11.547 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
11.547 * [taylor]: Taking taylor expansion of (* n PI) in n
11.547 * [taylor]: Taking taylor expansion of n in n
11.547 * [backup-simplify]: Simplify 0 into 0
11.547 * [backup-simplify]: Simplify 1 into 1
11.547 * [taylor]: Taking taylor expansion of PI in n
11.547 * [backup-simplify]: Simplify PI into PI
11.547 * [backup-simplify]: Simplify (* 0 PI) into 0
11.548 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.549 * [backup-simplify]: Simplify (sqrt 0) into 0
11.549 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
11.550 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.551 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
11.553 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
11.553 * [backup-simplify]: Simplify (* +nan.0 0) into 0
11.553 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
11.554 * [backup-simplify]: Simplify (* +nan.0 0) into 0
11.554 * [backup-simplify]: Simplify (- 0) into 0
11.554 * [backup-simplify]: Simplify (+ 0 0) into 0
11.555 * [backup-simplify]: Simplify (- 0) into 0
11.555 * [backup-simplify]: Simplify 0 into 0
11.557 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
11.562 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
11.565 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
11.567 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
11.567 * [backup-simplify]: Simplify 0 into 0
11.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.572 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
11.575 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
11.575 * [backup-simplify]: Simplify (- 0) into 0
11.575 * [backup-simplify]: Simplify (+ 0 0) into 0
11.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
11.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
11.578 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
11.579 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
11.579 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
11.579 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
11.579 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
11.579 * [taylor]: Taking taylor expansion of +nan.0 in n
11.579 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.579 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
11.579 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
11.579 * [taylor]: Taking taylor expansion of (sqrt 2) in n
11.579 * [taylor]: Taking taylor expansion of 2 in n
11.579 * [backup-simplify]: Simplify 2 into 2
11.580 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
11.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
11.580 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.580 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.580 * [taylor]: Taking taylor expansion of 2 in n
11.580 * [backup-simplify]: Simplify 2 into 2
11.580 * [taylor]: Taking taylor expansion of (* n PI) in n
11.580 * [taylor]: Taking taylor expansion of n in n
11.580 * [backup-simplify]: Simplify 0 into 0
11.580 * [backup-simplify]: Simplify 1 into 1
11.580 * [taylor]: Taking taylor expansion of PI in n
11.580 * [backup-simplify]: Simplify PI into PI
11.581 * [backup-simplify]: Simplify (* 0 PI) into 0
11.581 * [backup-simplify]: Simplify (* 2 0) into 0
11.582 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.583 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.584 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.584 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
11.584 * [taylor]: Taking taylor expansion of (* n PI) in n
11.584 * [taylor]: Taking taylor expansion of n in n
11.584 * [backup-simplify]: Simplify 0 into 0
11.584 * [backup-simplify]: Simplify 1 into 1
11.584 * [taylor]: Taking taylor expansion of PI in n
11.584 * [backup-simplify]: Simplify PI into PI
11.584 * [backup-simplify]: Simplify (* 0 PI) into 0
11.585 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.585 * [backup-simplify]: Simplify (sqrt 0) into 0
11.586 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
11.586 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
11.586 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
11.586 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
11.586 * [taylor]: Taking taylor expansion of +nan.0 in n
11.586 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.586 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
11.586 * [taylor]: Taking taylor expansion of (sqrt 2) in n
11.586 * [taylor]: Taking taylor expansion of 2 in n
11.586 * [backup-simplify]: Simplify 2 into 2
11.586 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
11.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
11.587 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
11.587 * [taylor]: Taking taylor expansion of (* n PI) in n
11.587 * [taylor]: Taking taylor expansion of n in n
11.587 * [backup-simplify]: Simplify 0 into 0
11.587 * [backup-simplify]: Simplify 1 into 1
11.587 * [taylor]: Taking taylor expansion of PI in n
11.587 * [backup-simplify]: Simplify PI into PI
11.587 * [backup-simplify]: Simplify (* 0 PI) into 0
11.588 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.588 * [backup-simplify]: Simplify (sqrt 0) into 0
11.589 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
11.589 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
11.589 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
11.589 * [taylor]: Taking taylor expansion of +nan.0 in n
11.589 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.589 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
11.589 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
11.589 * [taylor]: Taking taylor expansion of (sqrt 2) in n
11.589 * [taylor]: Taking taylor expansion of 2 in n
11.589 * [backup-simplify]: Simplify 2 into 2
11.589 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
11.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
11.590 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
11.590 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.590 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.590 * [taylor]: Taking taylor expansion of 2 in n
11.590 * [backup-simplify]: Simplify 2 into 2
11.590 * [taylor]: Taking taylor expansion of (* n PI) in n
11.590 * [taylor]: Taking taylor expansion of n in n
11.590 * [backup-simplify]: Simplify 0 into 0
11.590 * [backup-simplify]: Simplify 1 into 1
11.590 * [taylor]: Taking taylor expansion of PI in n
11.590 * [backup-simplify]: Simplify PI into PI
11.590 * [backup-simplify]: Simplify (* 0 PI) into 0
11.591 * [backup-simplify]: Simplify (* 2 0) into 0
11.591 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.592 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.593 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.594 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.594 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
11.594 * [taylor]: Taking taylor expansion of (* n PI) in n
11.594 * [taylor]: Taking taylor expansion of n in n
11.594 * [backup-simplify]: Simplify 0 into 0
11.594 * [backup-simplify]: Simplify 1 into 1
11.594 * [taylor]: Taking taylor expansion of PI in n
11.594 * [backup-simplify]: Simplify PI into PI
11.594 * [backup-simplify]: Simplify (* 0 PI) into 0
11.595 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.596 * [backup-simplify]: Simplify (sqrt 0) into 0
11.597 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
11.598 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.600 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
11.601 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
11.601 * [backup-simplify]: Simplify (* +nan.0 0) into 0
11.602 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
11.602 * [backup-simplify]: Simplify (* +nan.0 0) into 0
11.604 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.605 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.607 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
11.609 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
11.610 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
11.610 * [backup-simplify]: Simplify (* +nan.0 0) into 0
11.611 * [backup-simplify]: Simplify (- 0) into 0
11.611 * [backup-simplify]: Simplify (+ 0 0) into 0
11.612 * [backup-simplify]: Simplify (- 0) into 0
11.612 * [backup-simplify]: Simplify (+ 0 0) into 0
11.612 * [backup-simplify]: Simplify (- 0) into 0
11.612 * [backup-simplify]: Simplify 0 into 0
11.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.614 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
11.616 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.618 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.619 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
11.621 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
11.627 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
11.630 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
11.641 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
11.645 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
11.651 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
11.655 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
11.660 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
11.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.663 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
11.664 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
11.667 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
11.672 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
11.674 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
11.676 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
11.684 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
11.684 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
11.685 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
11.685 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
11.685 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
11.685 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
11.685 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
11.685 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
11.685 * [taylor]: Taking taylor expansion of 1/2 in n
11.685 * [backup-simplify]: Simplify 1/2 into 1/2
11.685 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.685 * [taylor]: Taking taylor expansion of 1 in n
11.685 * [backup-simplify]: Simplify 1 into 1
11.685 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.685 * [taylor]: Taking taylor expansion of k in n
11.685 * [backup-simplify]: Simplify k into k
11.685 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.685 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.685 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.685 * [taylor]: Taking taylor expansion of 2 in n
11.685 * [backup-simplify]: Simplify 2 into 2
11.685 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.685 * [taylor]: Taking taylor expansion of PI in n
11.685 * [backup-simplify]: Simplify PI into PI
11.685 * [taylor]: Taking taylor expansion of n in n
11.685 * [backup-simplify]: Simplify 0 into 0
11.685 * [backup-simplify]: Simplify 1 into 1
11.685 * [backup-simplify]: Simplify (/ PI 1) into PI
11.686 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.686 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.686 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.686 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.686 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
11.687 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.688 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.688 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.688 * [taylor]: Taking taylor expansion of (sqrt k) in n
11.689 * [taylor]: Taking taylor expansion of k in n
11.689 * [backup-simplify]: Simplify k into k
11.689 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
11.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
11.689 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
11.689 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
11.689 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
11.689 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
11.689 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
11.689 * [taylor]: Taking taylor expansion of 1/2 in k
11.689 * [backup-simplify]: Simplify 1/2 into 1/2
11.689 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
11.689 * [taylor]: Taking taylor expansion of 1 in k
11.689 * [backup-simplify]: Simplify 1 into 1
11.689 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.689 * [taylor]: Taking taylor expansion of k in k
11.689 * [backup-simplify]: Simplify 0 into 0
11.689 * [backup-simplify]: Simplify 1 into 1
11.689 * [backup-simplify]: Simplify (/ 1 1) into 1
11.689 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
11.689 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
11.689 * [taylor]: Taking taylor expansion of 2 in k
11.689 * [backup-simplify]: Simplify 2 into 2
11.689 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.689 * [taylor]: Taking taylor expansion of PI in k
11.689 * [backup-simplify]: Simplify PI into PI
11.689 * [taylor]: Taking taylor expansion of n in k
11.689 * [backup-simplify]: Simplify n into n
11.689 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.689 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
11.689 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
11.690 * [backup-simplify]: Simplify (- 1) into -1
11.690 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.690 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
11.690 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
11.690 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
11.690 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.690 * [taylor]: Taking taylor expansion of k in k
11.690 * [backup-simplify]: Simplify 0 into 0
11.690 * [backup-simplify]: Simplify 1 into 1
11.691 * [backup-simplify]: Simplify (sqrt 0) into 0
11.692 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.692 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
11.692 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
11.692 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
11.692 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
11.692 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
11.692 * [taylor]: Taking taylor expansion of 1/2 in k
11.692 * [backup-simplify]: Simplify 1/2 into 1/2
11.692 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
11.692 * [taylor]: Taking taylor expansion of 1 in k
11.692 * [backup-simplify]: Simplify 1 into 1
11.692 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.692 * [taylor]: Taking taylor expansion of k in k
11.692 * [backup-simplify]: Simplify 0 into 0
11.692 * [backup-simplify]: Simplify 1 into 1
11.692 * [backup-simplify]: Simplify (/ 1 1) into 1
11.692 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
11.692 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
11.692 * [taylor]: Taking taylor expansion of 2 in k
11.692 * [backup-simplify]: Simplify 2 into 2
11.692 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.692 * [taylor]: Taking taylor expansion of PI in k
11.692 * [backup-simplify]: Simplify PI into PI
11.692 * [taylor]: Taking taylor expansion of n in k
11.692 * [backup-simplify]: Simplify n into n
11.692 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.692 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
11.692 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
11.693 * [backup-simplify]: Simplify (- 1) into -1
11.693 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.693 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
11.693 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
11.693 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
11.693 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.693 * [taylor]: Taking taylor expansion of k in k
11.693 * [backup-simplify]: Simplify 0 into 0
11.693 * [backup-simplify]: Simplify 1 into 1
11.694 * [backup-simplify]: Simplify (sqrt 0) into 0
11.695 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.695 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
11.695 * [taylor]: Taking taylor expansion of 0 in n
11.695 * [backup-simplify]: Simplify 0 into 0
11.695 * [backup-simplify]: Simplify 0 into 0
11.696 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
11.696 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
11.696 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
11.696 * [taylor]: Taking taylor expansion of +nan.0 in n
11.696 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.696 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
11.696 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
11.696 * [taylor]: Taking taylor expansion of 1/2 in n
11.696 * [backup-simplify]: Simplify 1/2 into 1/2
11.696 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
11.696 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.696 * [taylor]: Taking taylor expansion of 1 in n
11.696 * [backup-simplify]: Simplify 1 into 1
11.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.696 * [taylor]: Taking taylor expansion of k in n
11.696 * [backup-simplify]: Simplify k into k
11.696 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.696 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.696 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.696 * [taylor]: Taking taylor expansion of 2 in n
11.696 * [backup-simplify]: Simplify 2 into 2
11.696 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.696 * [taylor]: Taking taylor expansion of PI in n
11.696 * [backup-simplify]: Simplify PI into PI
11.696 * [taylor]: Taking taylor expansion of n in n
11.696 * [backup-simplify]: Simplify 0 into 0
11.696 * [backup-simplify]: Simplify 1 into 1
11.697 * [backup-simplify]: Simplify (/ PI 1) into PI
11.697 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.698 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.698 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.698 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.700 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
11.701 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.702 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.703 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.705 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
11.706 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
11.706 * [backup-simplify]: Simplify 0 into 0
11.709 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.709 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
11.709 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
11.709 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
11.709 * [taylor]: Taking taylor expansion of +nan.0 in n
11.709 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.709 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
11.710 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
11.710 * [taylor]: Taking taylor expansion of 1/2 in n
11.710 * [backup-simplify]: Simplify 1/2 into 1/2
11.710 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
11.710 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.710 * [taylor]: Taking taylor expansion of 1 in n
11.710 * [backup-simplify]: Simplify 1 into 1
11.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.710 * [taylor]: Taking taylor expansion of k in n
11.710 * [backup-simplify]: Simplify k into k
11.710 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.710 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.710 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.710 * [taylor]: Taking taylor expansion of 2 in n
11.710 * [backup-simplify]: Simplify 2 into 2
11.710 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.710 * [taylor]: Taking taylor expansion of PI in n
11.710 * [backup-simplify]: Simplify PI into PI
11.710 * [taylor]: Taking taylor expansion of n in n
11.710 * [backup-simplify]: Simplify 0 into 0
11.710 * [backup-simplify]: Simplify 1 into 1
11.710 * [backup-simplify]: Simplify (/ PI 1) into PI
11.711 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.712 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.712 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.712 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.713 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.714 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
11.715 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.716 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.717 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.718 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
11.719 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
11.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.721 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.723 * [backup-simplify]: Simplify (- 0) into 0
11.723 * [backup-simplify]: Simplify (+ 0 0) into 0
11.724 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.725 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
11.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
11.729 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.730 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
11.730 * [backup-simplify]: Simplify (- 0) into 0
11.730 * [backup-simplify]: Simplify 0 into 0
11.730 * [backup-simplify]: Simplify 0 into 0
11.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.735 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
11.735 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
11.735 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
11.735 * [taylor]: Taking taylor expansion of +nan.0 in n
11.735 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.735 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
11.735 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
11.735 * [taylor]: Taking taylor expansion of 1/2 in n
11.735 * [backup-simplify]: Simplify 1/2 into 1/2
11.735 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
11.735 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
11.735 * [taylor]: Taking taylor expansion of 1 in n
11.735 * [backup-simplify]: Simplify 1 into 1
11.735 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.735 * [taylor]: Taking taylor expansion of k in n
11.735 * [backup-simplify]: Simplify k into k
11.735 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.735 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.735 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.735 * [taylor]: Taking taylor expansion of 2 in n
11.735 * [backup-simplify]: Simplify 2 into 2
11.736 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.736 * [taylor]: Taking taylor expansion of PI in n
11.736 * [backup-simplify]: Simplify PI into PI
11.736 * [taylor]: Taking taylor expansion of n in n
11.736 * [backup-simplify]: Simplify 0 into 0
11.736 * [backup-simplify]: Simplify 1 into 1
11.736 * [backup-simplify]: Simplify (/ PI 1) into PI
11.736 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.737 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.737 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
11.737 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
11.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.744 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
11.745 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
11.746 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
11.746 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
11.747 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
11.748 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
11.750 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
11.751 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
11.751 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
11.751 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
11.751 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
11.751 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
11.751 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
11.751 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
11.751 * [taylor]: Taking taylor expansion of 1/2 in n
11.751 * [backup-simplify]: Simplify 1/2 into 1/2
11.751 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.751 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.751 * [taylor]: Taking taylor expansion of k in n
11.751 * [backup-simplify]: Simplify k into k
11.751 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.751 * [taylor]: Taking taylor expansion of 1 in n
11.751 * [backup-simplify]: Simplify 1 into 1
11.751 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.751 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.751 * [taylor]: Taking taylor expansion of -2 in n
11.751 * [backup-simplify]: Simplify -2 into -2
11.751 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.751 * [taylor]: Taking taylor expansion of PI in n
11.751 * [backup-simplify]: Simplify PI into PI
11.751 * [taylor]: Taking taylor expansion of n in n
11.751 * [backup-simplify]: Simplify 0 into 0
11.751 * [backup-simplify]: Simplify 1 into 1
11.751 * [backup-simplify]: Simplify (/ PI 1) into PI
11.752 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.752 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.752 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.752 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
11.753 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.754 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.755 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.755 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
11.755 * [taylor]: Taking taylor expansion of (/ -1 k) in n
11.755 * [taylor]: Taking taylor expansion of -1 in n
11.755 * [backup-simplify]: Simplify -1 into -1
11.755 * [taylor]: Taking taylor expansion of k in n
11.755 * [backup-simplify]: Simplify k into k
11.755 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
11.755 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
11.755 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
11.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
11.756 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
11.756 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
11.756 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
11.756 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
11.756 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
11.756 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
11.756 * [taylor]: Taking taylor expansion of 1/2 in k
11.756 * [backup-simplify]: Simplify 1/2 into 1/2
11.756 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
11.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.756 * [taylor]: Taking taylor expansion of k in k
11.756 * [backup-simplify]: Simplify 0 into 0
11.756 * [backup-simplify]: Simplify 1 into 1
11.756 * [backup-simplify]: Simplify (/ 1 1) into 1
11.756 * [taylor]: Taking taylor expansion of 1 in k
11.756 * [backup-simplify]: Simplify 1 into 1
11.756 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
11.756 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
11.756 * [taylor]: Taking taylor expansion of -2 in k
11.756 * [backup-simplify]: Simplify -2 into -2
11.756 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.756 * [taylor]: Taking taylor expansion of PI in k
11.756 * [backup-simplify]: Simplify PI into PI
11.756 * [taylor]: Taking taylor expansion of n in k
11.756 * [backup-simplify]: Simplify n into n
11.756 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.756 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
11.756 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
11.757 * [backup-simplify]: Simplify (+ 1 0) into 1
11.757 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.757 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
11.757 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
11.757 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
11.757 * [taylor]: Taking taylor expansion of (/ -1 k) in k
11.757 * [taylor]: Taking taylor expansion of -1 in k
11.757 * [backup-simplify]: Simplify -1 into -1
11.757 * [taylor]: Taking taylor expansion of k in k
11.757 * [backup-simplify]: Simplify 0 into 0
11.757 * [backup-simplify]: Simplify 1 into 1
11.757 * [backup-simplify]: Simplify (/ -1 1) into -1
11.758 * [backup-simplify]: Simplify (sqrt 0) into 0
11.759 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
11.759 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
11.759 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
11.759 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
11.759 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
11.759 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
11.759 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
11.759 * [taylor]: Taking taylor expansion of 1/2 in k
11.759 * [backup-simplify]: Simplify 1/2 into 1/2
11.759 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
11.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.759 * [taylor]: Taking taylor expansion of k in k
11.759 * [backup-simplify]: Simplify 0 into 0
11.759 * [backup-simplify]: Simplify 1 into 1
11.759 * [backup-simplify]: Simplify (/ 1 1) into 1
11.759 * [taylor]: Taking taylor expansion of 1 in k
11.759 * [backup-simplify]: Simplify 1 into 1
11.759 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
11.759 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
11.759 * [taylor]: Taking taylor expansion of -2 in k
11.759 * [backup-simplify]: Simplify -2 into -2
11.759 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.759 * [taylor]: Taking taylor expansion of PI in k
11.759 * [backup-simplify]: Simplify PI into PI
11.759 * [taylor]: Taking taylor expansion of n in k
11.759 * [backup-simplify]: Simplify n into n
11.760 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.760 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
11.760 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
11.760 * [backup-simplify]: Simplify (+ 1 0) into 1
11.760 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.760 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
11.760 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
11.760 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
11.760 * [taylor]: Taking taylor expansion of (/ -1 k) in k
11.760 * [taylor]: Taking taylor expansion of -1 in k
11.760 * [backup-simplify]: Simplify -1 into -1
11.760 * [taylor]: Taking taylor expansion of k in k
11.760 * [backup-simplify]: Simplify 0 into 0
11.760 * [backup-simplify]: Simplify 1 into 1
11.761 * [backup-simplify]: Simplify (/ -1 1) into -1
11.761 * [backup-simplify]: Simplify (sqrt 0) into 0
11.762 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
11.762 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
11.762 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
11.762 * [taylor]: Taking taylor expansion of +nan.0 in n
11.762 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.762 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
11.762 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
11.762 * [taylor]: Taking taylor expansion of 1/2 in n
11.762 * [backup-simplify]: Simplify 1/2 into 1/2
11.762 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
11.762 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.762 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.762 * [taylor]: Taking taylor expansion of -2 in n
11.762 * [backup-simplify]: Simplify -2 into -2
11.762 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.762 * [taylor]: Taking taylor expansion of PI in n
11.762 * [backup-simplify]: Simplify PI into PI
11.762 * [taylor]: Taking taylor expansion of n in n
11.762 * [backup-simplify]: Simplify 0 into 0
11.762 * [backup-simplify]: Simplify 1 into 1
11.763 * [backup-simplify]: Simplify (/ PI 1) into PI
11.763 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.764 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.764 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.764 * [taylor]: Taking taylor expansion of k in n
11.764 * [backup-simplify]: Simplify k into k
11.764 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.764 * [taylor]: Taking taylor expansion of 1 in n
11.764 * [backup-simplify]: Simplify 1 into 1
11.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.765 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.765 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
11.766 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.767 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.767 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
11.768 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
11.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.772 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.773 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
11.773 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
11.773 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
11.773 * [taylor]: Taking taylor expansion of +nan.0 in n
11.773 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.773 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
11.773 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
11.773 * [taylor]: Taking taylor expansion of 1/2 in n
11.773 * [backup-simplify]: Simplify 1/2 into 1/2
11.773 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
11.773 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.773 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.773 * [taylor]: Taking taylor expansion of -2 in n
11.773 * [backup-simplify]: Simplify -2 into -2
11.773 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.773 * [taylor]: Taking taylor expansion of PI in n
11.773 * [backup-simplify]: Simplify PI into PI
11.773 * [taylor]: Taking taylor expansion of n in n
11.773 * [backup-simplify]: Simplify 0 into 0
11.773 * [backup-simplify]: Simplify 1 into 1
11.774 * [backup-simplify]: Simplify (/ PI 1) into PI
11.774 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.775 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.775 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.775 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.775 * [taylor]: Taking taylor expansion of k in n
11.775 * [backup-simplify]: Simplify k into k
11.775 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.775 * [taylor]: Taking taylor expansion of 1 in n
11.775 * [backup-simplify]: Simplify 1 into 1
11.776 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.776 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.777 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
11.778 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.779 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.780 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
11.781 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
11.781 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
11.782 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.783 * [backup-simplify]: Simplify (+ 0 0) into 0
11.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.784 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
11.785 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
11.785 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
11.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
11.787 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.788 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
11.788 * [backup-simplify]: Simplify 0 into 0
11.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.793 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
11.793 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
11.793 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
11.793 * [taylor]: Taking taylor expansion of +nan.0 in n
11.793 * [backup-simplify]: Simplify +nan.0 into +nan.0
11.793 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
11.793 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
11.793 * [taylor]: Taking taylor expansion of 1/2 in n
11.793 * [backup-simplify]: Simplify 1/2 into 1/2
11.793 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
11.793 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.793 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.793 * [taylor]: Taking taylor expansion of -2 in n
11.793 * [backup-simplify]: Simplify -2 into -2
11.793 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.793 * [taylor]: Taking taylor expansion of PI in n
11.793 * [backup-simplify]: Simplify PI into PI
11.793 * [taylor]: Taking taylor expansion of n in n
11.793 * [backup-simplify]: Simplify 0 into 0
11.793 * [backup-simplify]: Simplify 1 into 1
11.794 * [backup-simplify]: Simplify (/ PI 1) into PI
11.794 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.795 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
11.795 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.795 * [taylor]: Taking taylor expansion of k in n
11.795 * [backup-simplify]: Simplify k into k
11.795 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.795 * [taylor]: Taking taylor expansion of 1 in n
11.795 * [backup-simplify]: Simplify 1 into 1
11.797 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.797 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
11.797 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
11.798 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
11.799 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
11.800 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
11.800 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
11.801 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
11.804 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
11.804 * * * [progress]: simplifying candidates
11.804 * * * * [progress]: [ 1 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.804 * * * * [progress]: [ 2 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.804 * * * * [progress]: [ 3 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))))))>
11.804 * * * * [progress]: [ 4 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))))))>
11.804 * * * * [progress]: [ 5 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
11.804 * * * * [progress]: [ 6 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
11.804 * * * * [progress]: [ 7 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))))))>
11.804 * * * * [progress]: [ 8 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))))))>
11.804 * * * * [progress]: [ 9 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))))))>
11.804 * * * * [progress]: [ 10 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))))))>
11.804 * * * * [progress]: [ 11 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))>
11.804 * * * * [progress]: [ 12 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))>
11.804 * * * * [progress]: [ 13 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))))>
11.804 * * * * [progress]: [ 14 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))))>
11.805 * * * * [progress]: [ 15 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))))>
11.805 * * * * [progress]: [ 16 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))))>
11.805 * * * * [progress]: [ 17 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))))>
11.805 * * * * [progress]: [ 18 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))))>
11.805 * * * * [progress]: [ 19 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
11.805 * * * * [progress]: [ 20 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))>
11.805 * * * * [progress]: [ 21 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)))))>
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11.805 * * * * [progress]: [ 23 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))))))>
11.805 * * * * [progress]: [ 24 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)))))>
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11.805 * * * * [progress]: [ 26 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))>
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11.805 * * * * [progress]: [ 28 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
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11.805 * * * * [progress]: [ 35 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
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11.806 * * * * [progress]: [ 37 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.806 * * * * [progress]: [ 38 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.806 * * * * [progress]: [ 39 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
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11.806 * * * * [progress]: [ 41 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.806 * * * * [progress]: [ 42 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.806 * * * * [progress]: [ 43 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
11.806 * * * * [progress]: [ 44 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
11.806 * * * * [progress]: [ 45 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)))))>
11.806 * * * * [progress]: [ 46 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)))))>
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11.806 * * * * [progress]: [ 48 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)))))>
11.806 * * * * [progress]: [ 49 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)))))>
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11.806 * * * * [progress]: [ 51 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
11.806 * * * * [progress]: [ 52 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)))))>
11.806 * * * * [progress]: [ 53 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2)))))>
11.806 * * * * [progress]: [ 54 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
11.806 * * * * [progress]: [ 55 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
11.806 * * * * [progress]: [ 56 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
11.806 * * * * [progress]: [ 57 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)))))>
11.806 * * * * [progress]: [ 58 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))>
11.806 * * * * [progress]: [ 59 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)))))>
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11.807 * * * * [progress]: [ 61 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)))))>
11.807 * * * * [progress]: [ 62 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
11.807 * * * * [progress]: [ 63 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
11.807 * * * * [progress]: [ 64 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log1p (expm1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.807 * * * * [progress]: [ 65 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (expm1 (log1p (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.807 * * * * [progress]: [ 66 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1)))>
11.807 * * * * [progress]: [ 67 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))))))>
11.807 * * * * [progress]: [ 68 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))))))>
11.807 * * * * [progress]: [ 69 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
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11.807 * * * * [progress]: [ 71 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.807 * * * * [progress]: [ 72 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.807 * * * * [progress]: [ 73 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.807 * * * * [progress]: [ 74 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.807 * * * * [progress]: [ 75 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.807 * * * * [progress]: [ 76 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.807 * * * * [progress]: [ 77 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.807 * * * * [progress]: [ 78 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.807 * * * * [progress]: [ 79 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.807 * * * * [progress]: [ 80 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.807 * * * * [progress]: [ 81 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.807 * * * * [progress]: [ 82 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.808 * * * * [progress]: [ 83 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.808 * * * * [progress]: [ 84 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.808 * * * * [progress]: [ 85 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.808 * * * * [progress]: [ 86 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.808 * * * * [progress]: [ 87 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.808 * * * * [progress]: [ 88 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.808 * * * * [progress]: [ 89 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.808 * * * * [progress]: [ 90 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.808 * * * * [progress]: [ 91 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.808 * * * * [progress]: [ 92 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.808 * * * * [progress]: [ 93 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.808 * * * * [progress]: [ 94 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.808 * * * * [progress]: [ 95 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.808 * * * * [progress]: [ 96 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.808 * * * * [progress]: [ 97 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.808 * * * * [progress]: [ 98 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.808 * * * * [progress]: [ 99 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.808 * * * * [progress]: [ 100 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.808 * * * * [progress]: [ 101 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.808 * * * * [progress]: [ 102 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.808 * * * * [progress]: [ 103 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.809 * * * * [progress]: [ 104 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.809 * * * * [progress]: [ 105 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.809 * * * * [progress]: [ 106 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.809 * * * * [progress]: [ 107 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.809 * * * * [progress]: [ 108 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.809 * * * * [progress]: [ 109 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.809 * * * * [progress]: [ 110 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.809 * * * * [progress]: [ 111 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
11.809 * * * * [progress]: [ 112 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))))>
11.809 * * * * [progress]: [ 113 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.809 * * * * [progress]: [ 114 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.809 * * * * [progress]: [ 115 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
11.809 * * * * [progress]: [ 116 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
11.809 * * * * [progress]: [ 117 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))))>
11.809 * * * * [progress]: [ 118 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))))>
11.809 * * * * [progress]: [ 119 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))))>
11.809 * * * * [progress]: [ 120 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
11.809 * * * * [progress]: [ 121 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))))>
11.809 * * * * [progress]: [ 122 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
11.809 * * * * [progress]: [ 123 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2))) (pow (* n (* 2 PI)) (/ k 2)))))>
11.809 * * * * [progress]: [ 124 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.809 * * * * [progress]: [ 125 / 315 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.809 * * * * [progress]: [ 126 / 315 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.810 * * * * [progress]: [ 127 / 315 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) -1))>
11.810 * * * * [progress]: [ 128 / 315 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 1)))>
11.810 * * * * [progress]: [ 129 / 315 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1))>
11.810 * * * * [progress]: [ 130 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))))))>
11.810 * * * * [progress]: [ 131 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))))))>
11.810 * * * * [progress]: [ 132 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
11.810 * * * * [progress]: [ 133 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
11.810 * * * * [progress]: [ 134 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.810 * * * * [progress]: [ 135 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.810 * * * * [progress]: [ 136 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))))))>
11.810 * * * * [progress]: [ 137 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))))))>
11.810 * * * * [progress]: [ 138 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
11.810 * * * * [progress]: [ 139 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
11.810 * * * * [progress]: [ 140 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.810 * * * * [progress]: [ 141 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.810 * * * * [progress]: [ 142 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))))))>
11.810 * * * * [progress]: [ 143 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))))))>
11.810 * * * * [progress]: [ 144 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
11.810 * * * * [progress]: [ 145 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
11.810 * * * * [progress]: [ 146 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.810 * * * * [progress]: [ 147 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.810 * * * * [progress]: [ 148 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.810 * * * * [progress]: [ 149 / 315 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.810 * * * * [progress]: [ 150 / 315 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.811 * * * * [progress]: [ 151 / 315 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.811 * * * * [progress]: [ 152 / 315 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.811 * * * * [progress]: [ 153 / 315 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.811 * * * * [progress]: [ 154 / 315 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.811 * * * * [progress]: [ 155 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.811 * * * * [progress]: [ 156 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.811 * * * * [progress]: [ 157 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.811 * * * * [progress]: [ 158 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.811 * * * * [progress]: [ 159 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.811 * * * * [progress]: [ 160 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.811 * * * * [progress]: [ 161 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.811 * * * * [progress]: [ 162 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.811 * * * * [progress]: [ 163 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.811 * * * * [progress]: [ 164 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.811 * * * * [progress]: [ 165 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.811 * * * * [progress]: [ 166 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.811 * * * * [progress]: [ 167 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.811 * * * * [progress]: [ 168 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.812 * * * * [progress]: [ 169 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.812 * * * * [progress]: [ 170 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.812 * * * * [progress]: [ 171 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.812 * * * * [progress]: [ 172 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.812 * * * * [progress]: [ 173 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.812 * * * * [progress]: [ 174 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.812 * * * * [progress]: [ 175 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.812 * * * * [progress]: [ 176 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.812 * * * * [progress]: [ 177 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.812 * * * * [progress]: [ 178 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.812 * * * * [progress]: [ 179 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.812 * * * * [progress]: [ 180 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.812 * * * * [progress]: [ 181 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.812 * * * * [progress]: [ 182 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.812 * * * * [progress]: [ 183 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.812 * * * * [progress]: [ 184 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.812 * * * * [progress]: [ 185 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.812 * * * * [progress]: [ 186 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.812 * * * * [progress]: [ 187 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.813 * * * * [progress]: [ 188 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.813 * * * * [progress]: [ 189 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.813 * * * * [progress]: [ 190 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2)))))>
11.813 * * * * [progress]: [ 191 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.813 * * * * [progress]: [ 192 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.813 * * * * [progress]: [ 193 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.813 * * * * [progress]: [ 194 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.813 * * * * [progress]: [ 195 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.813 * * * * [progress]: [ 196 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.813 * * * * [progress]: [ 197 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.813 * * * * [progress]: [ 198 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.813 * * * * [progress]: [ 199 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.813 * * * * [progress]: [ 200 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.813 * * * * [progress]: [ 201 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.813 * * * * [progress]: [ 202 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.814 * * * * [progress]: [ 203 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.814 * * * * [progress]: [ 204 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.814 * * * * [progress]: [ 205 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.814 * * * * [progress]: [ 206 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.814 * * * * [progress]: [ 207 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.814 * * * * [progress]: [ 208 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.814 * * * * [progress]: [ 209 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.814 * * * * [progress]: [ 210 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.814 * * * * [progress]: [ 211 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.814 * * * * [progress]: [ 212 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.814 * * * * [progress]: [ 213 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.814 * * * * [progress]: [ 214 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.814 * * * * [progress]: [ 215 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.814 * * * * [progress]: [ 216 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.814 * * * * [progress]: [ 217 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.815 * * * * [progress]: [ 218 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.815 * * * * [progress]: [ 219 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.815 * * * * [progress]: [ 220 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.815 * * * * [progress]: [ 221 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.815 * * * * [progress]: [ 222 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.815 * * * * [progress]: [ 223 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.815 * * * * [progress]: [ 224 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.815 * * * * [progress]: [ 225 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2)))))>
11.815 * * * * [progress]: [ 226 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.815 * * * * [progress]: [ 227 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.815 * * * * [progress]: [ 228 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.815 * * * * [progress]: [ 229 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.816 * * * * [progress]: [ 230 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.816 * * * * [progress]: [ 231 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.816 * * * * [progress]: [ 232 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.816 * * * * [progress]: [ 233 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.816 * * * * [progress]: [ 234 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.816 * * * * [progress]: [ 235 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.816 * * * * [progress]: [ 236 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.816 * * * * [progress]: [ 237 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.816 * * * * [progress]: [ 238 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.816 * * * * [progress]: [ 239 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.816 * * * * [progress]: [ 240 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.816 * * * * [progress]: [ 241 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.817 * * * * [progress]: [ 242 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.817 * * * * [progress]: [ 243 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.817 * * * * [progress]: [ 244 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.817 * * * * [progress]: [ 245 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.817 * * * * [progress]: [ 246 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.817 * * * * [progress]: [ 247 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.817 * * * * [progress]: [ 248 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.817 * * * * [progress]: [ 249 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.817 * * * * [progress]: [ 250 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.817 * * * * [progress]: [ 251 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.817 * * * * [progress]: [ 252 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.817 * * * * [progress]: [ 253 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
11.818 * * * * [progress]: [ 254 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.818 * * * * [progress]: [ 255 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.818 * * * * [progress]: [ 256 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.818 * * * * [progress]: [ 257 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
11.818 * * * * [progress]: [ 258 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.818 * * * * [progress]: [ 259 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.818 * * * * [progress]: [ 260 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (/ 1 (pow (* n (* 2 PI)) (/ k 2)))))>
11.818 * * * * [progress]: [ 261 / 315 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.818 * * * * [progress]: [ 262 / 315 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.818 * * * * [progress]: [ 263 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1)))>
11.818 * * * * [progress]: [ 264 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.818 * * * * [progress]: [ 265 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.818 * * * * [progress]: [ 266 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))>
11.819 * * * * [progress]: [ 267 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.819 * * * * [progress]: [ 268 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.819 * * * * [progress]: [ 269 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
11.819 * * * * [progress]: [ 270 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
11.819 * * * * [progress]: [ 271 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))>
11.819 * * * * [progress]: [ 272 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.819 * * * * [progress]: [ 273 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.819 * * * * [progress]: [ 274 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
11.819 * * * * [progress]: [ 275 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
11.819 * * * * [progress]: [ 276 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))>
11.819 * * * * [progress]: [ 277 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.819 * * * * [progress]: [ 278 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.820 * * * * [progress]: [ 279 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
11.820 * * * * [progress]: [ 280 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
11.820 * * * * [progress]: [ 281 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))>
11.820 * * * * [progress]: [ 282 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.820 * * * * [progress]: [ 283 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.820 * * * * [progress]: [ 284 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
11.820 * * * * [progress]: [ 285 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
11.820 * * * * [progress]: [ 286 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))>
11.820 * * * * [progress]: [ 287 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.820 * * * * [progress]: [ 288 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.820 * * * * [progress]: [ 289 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
11.820 * * * * [progress]: [ 290 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
11.820 * * * * [progress]: [ 291 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))>
11.821 * * * * [progress]: [ 292 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.821 * * * * [progress]: [ 293 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
11.821 * * * * [progress]: [ 294 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
11.821 * * * * [progress]: [ 295 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
11.821 * * * * [progress]: [ 296 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
11.821 * * * * [progress]: [ 297 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
11.821 * * * * [progress]: [ 298 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (pow (* n (* 2 PI)) (/ k 2))))>
11.821 * * * * [progress]: [ 299 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt 1))))>
11.821 * * * * [progress]: [ 300 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt 1) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1))))>
11.821 * * * * [progress]: [ 301 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1)))>
11.821 * * * * [progress]: [ 302 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
11.821 * * * * [progress]: [ 303 / 315 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
11.821 * * * * [progress]: [ 304 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))))))>
11.822 * * * * [progress]: [ 305 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
11.822 * * * * [progress]: [ 306 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
11.822 * * * * [progress]: [ 307 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
11.822 * * * * [progress]: [ 308 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
11.822 * * * * [progress]: [ 309 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
11.822 * * * * [progress]: [ 310 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
11.822 * * * * [progress]: [ 311 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))))))>
11.822 * * * * [progress]: [ 312 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))))>
11.822 * * * * [progress]: [ 313 / 315 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
11.822 * * * * [progress]: [ 314 / 315 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
11.822 * * * * [progress]: [ 315 / 315 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
11.828 * [simplify]: Simplifying (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))), (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2))), (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)), (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)), (* (log (* n (* 2 PI))) (/ (- 1 k) 2)), (* (log (* n (* 2 PI))) (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (pow (* n (* 2 PI)) (/ 1 2)), (pow (* n (* 2 PI)) (/ k 2)), (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))), (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))), (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)), (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)), (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* n (* 2 PI)) (/ 1 (sqrt 2))), (pow (* n 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11.841 * * [simplify]: iteration 1: (535 enodes)
12.625 * * [simplify]: Extracting #0: cost 173 inf + 0
12.627 * * [simplify]: Extracting #1: cost 574 inf + 2
12.634 * * [simplify]: Extracting #2: cost 633 inf + 15385
12.651 * * [simplify]: Extracting #3: cost 528 inf + 75130
12.690 * * [simplify]: Extracting #4: cost 352 inf + 174310
12.736 * * [simplify]: Extracting #5: cost 264 inf + 236378
12.779 * * [simplify]: Extracting #6: cost 219 inf + 266422
12.836 * * [simplify]: Extracting #7: cost 179 inf + 284880
12.892 * * [simplify]: Extracting #8: cost 135 inf + 301652
12.949 * * [simplify]: Extracting #9: cost 79 inf + 328147
13.052 * * [simplify]: Extracting #10: cost 28 inf + 361426
13.124 * * [simplify]: Extracting #11: cost 10 inf + 374430
13.223 * * [simplify]: Extracting #12: cost 2 inf + 383052
13.287 * * [simplify]: Extracting #13: cost 0 inf + 385296
13.365 * [simplify]: Simplified to (expm1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))), (log1p (pow (* 2 (* n PI)) (/ (- 1 k) 2))), (* (/ (- 1 k) 2) (log (* 2 (* n PI)))), (* (/ (- 1 k) 2) (log (* 2 (* n PI)))), (* (/ (- 1 k) 2) (log (* 2 (* n PI)))), (* (/ (- 1 k) 2) (log (* 2 (* n PI)))), (/ (- 1 k) 2), (/ (- 1 k) 2), (/ (- 1 k) 2), (pow (* 2 (* n PI)) 1/2), (pow (* 2 (* n PI)) (/ k 2)), (pow (* 2 (* n PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* 2 (* n PI)) (sqrt (/ (- 1 k) 2))), (pow (* 2 (* n PI)) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))), (pow (* 2 (* n PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* 2 (* n PI)) (* (cbrt (- 1 k)) (cbrt (- 1 k)))), (pow (* 2 (* n PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))), (pow (* 2 (* n PI)) (/ (sqrt (- 1 k)) (sqrt 2))), (pow (* 2 (* n PI)) (sqrt (- 1 k))), (pow (* 2 (* n PI)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* 2 (* n PI)) (/ 1 (sqrt 2))), (* 2 (* n PI)), (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) (* 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k)))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))), (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))), (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))), (/ 1 (fabs (cbrt k))), (/ 1 (/ (fabs (cbrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))), (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))), (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))), (/ 1 (sqrt (sqrt k))), (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))), (pow n (/ (- 1 k) 2)), (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))), (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))), 1, (pow (* 2 (* n PI)) (/ (- 1 k) 4)), (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))), (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt 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(* (* (log n) k) (exp (* 1/2 (log (* 2 (* n PI)))))) (* (* (log (* PI 2)) (exp (* 1/2 (log (* 2 (* n PI)))))) k)))), (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n))))), (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)))), (* 2 (* n PI)), (* 2 (* n PI)), (* 2 (* n PI)), (- (- (/ (* +nan.0 (* (sqrt 2) (* (* k k) (* (log (* PI 2)) (* (sqrt 1/2) (sqrt 1/2)))))) PI) (- (* (/ (* (sqrt 1/2) (* k k)) PI) +nan.0) (- (* +nan.0 (/ (* n (* k (sqrt 1/2))) (* PI PI))) (- (* +nan.0 (/ (log n) (/ PI (* (sqrt 2) (* (* (sqrt 1/2) (sqrt 1/2)) (* k k)))))) (/ (* +nan.0 (* k (sqrt 1/2))) PI)))))), (- (fma +nan.0 (/ 1 (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n)))))) (- (fma +nan.0 (/ (/ 1 (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n)))))) (* k k)) (* +nan.0 (- (/ (/ 1 (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n)))))) k))))))), (- (- (* (/ (/ 1 (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k))))) k) +nan.0) (- (/ (* +nan.0 1) (* (* k k) (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)))))) (/ (* +nan.0 1) (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)))))))), (- (- (* (* +nan.0 (sqrt 2)) (* (* n PI) k)) (- (* (* +nan.0 (sqrt 2)) (* n PI)) (- (* +nan.0 (* (log (* PI 2)) (* (sqrt 2) (* (* n PI) k)))) (- (* (* (* (sqrt 2) n) (* (* (log n) k) PI)) +nan.0) (* (* +nan.0 (sqrt 2)) (* (* PI PI) (* n n)))))))), (- (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n))))) k) +nan.0) (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n))))) (* k k))) (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n))))) (* k (* k k))))))), (- (- (* (/ (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)))) k) +nan.0) (- (/ (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)))) +nan.0) (* k k)) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)))) +nan.0))))
13.366 * * * * [progress]: [ 1 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.366 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (log1p (expm1 (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.366 * * * * [progress]: [ 2 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.366 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (expm1 (log1p (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.366 * * * * [progress]: [ 3 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))))))>
13.366 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.366 * * * * [progress]: [ 4 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))))))>
13.367 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.367 * * * * [progress]: [ 5 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
13.367 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.367 * * * * [progress]: [ 6 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
13.367 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.367 * * * * [progress]: [ 7 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))))))>
13.367 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))
13.367 * * * * [progress]: [ 8 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))))))>
13.367 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))
13.367 * * * * [progress]: [ 9 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))))))>
13.367 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))
13.367 * * * * [progress]: [ 10 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))))))>
13.367 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* 2 (* n PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))))))
13.367 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2))))))
13.367 * * * * [progress]: [ 11 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))>
13.367 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))
13.367 * * * * [progress]: [ 12 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))>
13.368 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))
13.368 * * * * [progress]: [ 13 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))))>
13.368 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))))
13.368 * * * * [progress]: [ 14 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))))>
13.368 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))))
13.368 * * * * [progress]: [ 15 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))))>
13.368 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)))))
13.368 * * * * [progress]: [ 16 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))))>
13.368 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))))
13.368 * * * * [progress]: [ 17 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))))>
13.368 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))))
13.368 * * * * [progress]: [ 18 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))))>
13.368 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)))))
13.368 * * * * [progress]: [ 19 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
13.368 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))
13.369 * * * * [progress]: [ 20 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))>
13.369 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))
13.369 * * * * [progress]: [ 21 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)))))>
13.369 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.369 * * * * [progress]: [ 22 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))))))>
13.369 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))))))
13.369 * * * * [progress]: [ 23 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))))))>
13.369 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))))))
13.369 * * * * [progress]: [ 24 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)))))>
13.369 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- (sqrt 1) (sqrt k)) 2)))))
13.369 * * * * [progress]: [ 25 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))>
13.369 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))
13.369 * * * * [progress]: [ 26 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))>
13.369 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (/ (+ (sqrt k) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))
13.369 * * * * [progress]: [ 27 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))>
13.369 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)))))
13.370 * * * * [progress]: [ 28 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
13.370 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))
13.370 * * * * [progress]: [ 29 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))>
13.370 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))
13.370 * * * * [progress]: [ 30 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)))))>
13.370 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.370 * * * * [progress]: [ 31 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)))))>
13.370 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.370 * * * * [progress]: [ 32 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)))))>
13.370 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) (- 1 k)) (/ 1 2)))))
13.370 * * * * [progress]: [ 33 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.370 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.370 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))))))
13.370 * * * * [progress]: [ 34 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1))))>
13.370 * * * * [progress]: [ 35 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.370 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.370 * * * * [progress]: [ 36 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.370 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.371 * * * * [progress]: [ 37 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.371 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.371 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.371 * * * * [progress]: [ 38 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.371 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (cbrt (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))))
13.371 * * * * [progress]: [ 39 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.371 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.371 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.371 * * * * [progress]: [ 40 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.371 * * * * [progress]: [ 41 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.371 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.372 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))))))
13.372 * * * * [progress]: [ 42 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.372 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.372 * * * * [progress]: [ 43 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
13.372 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (log1p (expm1 (* 2 (* n PI)))) (/ (- 1 k) 2)))))
13.372 * * * * [progress]: [ 44 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
13.372 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (expm1 (log1p (* 2 (* n PI)))) (/ (- 1 k) 2)))))
13.372 * * * * [progress]: [ 45 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)))))>
13.372 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) 1) (/ (- 1 k) 2)))))
13.373 * * * * [progress]: [ 46 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)))))>
13.373 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* 2 (* n PI)) 1) (/ (- 1 k) 2)))))
13.373 * * * * [progress]: [ 47 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)))))>
13.373 * * * * [progress]: [ 48 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)))))>
13.373 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* 2 (* n PI)))) (/ (- 1 k) 2)))))
13.373 * * * * [progress]: [ 49 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)))))>
13.373 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* 2 (* n PI)))) (/ (- 1 k) 2)))))
13.373 * * * * [progress]: [ 50 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
13.373 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* 2 (* n PI)))) (/ (- 1 k) 2)))))
13.373 * * * * [progress]: [ 51 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
13.374 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* 2 (* n PI)))) (/ (- 1 k) 2)))))
13.374 * * * * [progress]: [ 52 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)))))>
13.374 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* n n) n) (* 4 (* 2 (* (* PI PI) PI))))) (/ (- 1 k) 2)))))
13.374 * * * * [progress]: [ 53 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2)))))>
13.374 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* n n) (* n (* (* PI 2) (* (* PI 2) (* PI 2)))))) (/ (- 1 k) 2)))))
13.374 * * * * [progress]: [ 54 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
13.374 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* 2 (* n PI))) (cbrt (* 2 (* n PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)))))
13.374 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 2 (* n PI)))) (/ (- 1 k) 2)))))
13.375 * * * * [progress]: [ 55 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
13.375 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* 2 (* n PI)) (* 2 (* n PI))) (* 2 (* n PI)))) (/ (- 1 k) 2)))))
13.375 * * * * [progress]: [ 56 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
13.375 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* 2 (* n PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)))))
13.375 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* n (* 2 PI))) (sqrt (* 2 (* n PI)))) (/ (- 1 k) 2)))))
13.375 * * * * [progress]: [ 57 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)))))>
13.376 * * * * [progress]: [ 58 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))>
13.376 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))
13.376 * * * * [progress]: [ 59 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)))))>
13.376 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (* PI 2) (cbrt n))) (/ (- 1 k) 2)))))
13.376 * * * * [progress]: [ 60 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)))))>
13.376 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt n) (* (* (sqrt n) 2) PI)) (/ (- 1 k) 2)))))
13.376 * * * * [progress]: [ 61 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)))))>
13.376 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* 2 (* n PI))) (/ (- 1 k) 2)))))
13.376 * * * * [progress]: [ 62 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)))))>
13.376 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (posit16->real (real->posit16 (* 2 (* n PI)))) (/ (- 1 k) 2)))))
13.377 * * * * [progress]: [ 63 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
13.377 * * * * [progress]: [ 64 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log1p (expm1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.377 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (log1p (expm1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.377 * * * * [progress]: [ 65 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (expm1 (log1p (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.377 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (expm1 (log1p (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.377 * * * * [progress]: [ 66 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1)))>
13.377 * * * * [progress]: [ 67 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))))))>
13.377 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.377 * * * * [progress]: [ 68 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))))))>
13.378 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.378 * * * * [progress]: [ 69 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
13.378 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.378 * * * * [progress]: [ 70 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
13.378 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.378 * * * * [progress]: [ 71 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.378 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.378 * * * * [progress]: [ 72 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.378 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.379 * * * * [progress]: [ 73 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.379 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.379 * * * * [progress]: [ 74 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.379 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ k (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.379 * * * * [progress]: [ 75 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.379 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.379 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.379 * * * * [progress]: [ 76 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.380 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (* (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))))
13.380 * * * * [progress]: [ 77 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.380 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.380 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.380 * * * * [progress]: [ 78 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.380 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.380 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.380 * * * * [progress]: [ 79 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.381 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.381 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))
13.381 * * * * [progress]: [ 80 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.381 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.381 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.381 * * * * [progress]: [ 81 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.382 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (cbrt (sqrt k)) (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.382 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.382 * * * * [progress]: [ 82 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.382 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.382 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.382 * * * * [progress]: [ 83 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.382 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.383 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))))))
13.383 * * * * [progress]: [ 84 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.383 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.383 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))
13.383 * * * * [progress]: [ 85 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.383 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.384 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.384 * * * * [progress]: [ 86 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.384 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.384 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.384 * * * * [progress]: [ 87 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.384 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.384 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.385 * * * * [progress]: [ 88 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.385 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.385 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))))))
13.385 * * * * [progress]: [ 89 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.385 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.385 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))
13.386 * * * * [progress]: [ 90 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.386 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.386 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.386 * * * * [progress]: [ 91 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.386 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.386 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.386 * * * * [progress]: [ 92 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.386 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.387 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.387 * * * * [progress]: [ 93 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.387 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.387 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))))))
13.387 * * * * [progress]: [ 94 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.387 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.387 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
13.387 * * * * [progress]: [ 95 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.388 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.388 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.388 * * * * [progress]: [ 96 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.388 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.388 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.388 * * * * [progress]: [ 97 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.388 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.388 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.389 * * * * [progress]: [ 98 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.389 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.389 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 4))))))
13.389 * * * * [progress]: [ 99 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.389 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.389 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))
13.389 * * * * [progress]: [ 100 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.389 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.390 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.390 * * * * [progress]: [ 101 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.390 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.390 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.390 * * * * [progress]: [ 102 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.390 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.390 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.391 * * * * [progress]: [ 103 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.391 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.391 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))))))
13.391 * * * * [progress]: [ 104 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.391 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.391 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))
13.391 * * * * [progress]: [ 105 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.391 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.391 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.392 * * * * [progress]: [ 106 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.392 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.392 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.392 * * * * [progress]: [ 107 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.392 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.392 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.392 * * * * [progress]: [ 108 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.392 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.392 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 4))))))
13.392 * * * * [progress]: [ 109 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.392 * * * * [progress]: [ 110 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.392 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.392 * * * * [progress]: [ 111 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
13.392 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ 1 (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))))
13.393 * * * * [progress]: [ 112 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))))>
13.393 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))))
13.393 * * * * [progress]: [ 113 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.393 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (/ (sqrt k) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.393 * * * * [progress]: [ 114 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.393 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.393 * * * * [progress]: [ 115 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
13.393 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))
13.393 * * * * [progress]: [ 116 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.393 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))
13.393 * * * * [progress]: [ 117 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))))>
13.393 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))))
13.393 * * * * [progress]: [ 118 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))))>
13.393 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))))
13.393 * * * * [progress]: [ 119 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))))>
13.394 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))))
13.394 * * * * [progress]: [ 120 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
13.394 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt 1) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))))
13.394 * * * * [progress]: [ 121 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))))>
13.394 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))))
13.394 * * * * [progress]: [ 122 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
13.394 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ 1 (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))))
13.394 * * * * [progress]: [ 123 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2))) (pow (* n (* 2 PI)) (/ k 2)))))>
13.394 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* 2 (* n PI)) 1/2)) (pow (* n (* 2 PI)) (/ k 2)))))
13.394 * * * * [progress]: [ 124 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.394 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.394 * * * * [progress]: [ 125 / 315 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.394 * [simplify]: Simplified (2 1) to (λ (k n) (log1p (expm1 (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.394 * * * * [progress]: [ 126 / 315 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.394 * [simplify]: Simplified (2 1) to (λ (k n) (expm1 (log1p (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.394 * * * * [progress]: [ 127 / 315 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) -1))>
13.394 * * * * [progress]: [ 128 / 315 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 1)))>
13.395 * [simplify]: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) -1))
13.395 * * * * [progress]: [ 129 / 315 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1))>
13.395 * * * * [progress]: [ 130 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))))))>
13.395 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.395 * * * * [progress]: [ 131 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))))))>
13.395 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.395 * * * * [progress]: [ 132 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
13.395 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.395 * * * * [progress]: [ 133 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
13.395 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.395 * * * * [progress]: [ 134 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.395 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.395 * * * * [progress]: [ 135 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.395 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.395 * * * * [progress]: [ 136 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))))))>
13.395 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.395 * * * * [progress]: [ 137 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))))))>
13.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.396 * * * * [progress]: [ 138 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
13.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.396 * * * * [progress]: [ 139 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
13.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.396 * * * * [progress]: [ 140 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.396 * * * * [progress]: [ 141 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.396 * * * * [progress]: [ 142 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))))))>
13.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.396 * * * * [progress]: [ 143 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))))))>
13.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.396 * * * * [progress]: [ 144 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
13.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.396 * * * * [progress]: [ 145 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))))>
13.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.397 * * * * [progress]: [ 146 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.397 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.397 * * * * [progress]: [ 147 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.397 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.397 * * * * [progress]: [ 148 / 315 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.397 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* 2 (* n PI))))))))
13.397 * * * * [progress]: [ 149 / 315 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.397 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.397 * * * * [progress]: [ 150 / 315 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.397 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ 1 (* (sqrt k) k)) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.397 * * * * [progress]: [ 151 / 315 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.397 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ 1 (* (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.397 * * * * [progress]: [ 152 / 315 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.397 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.397 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (cbrt (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.398 * * * * [progress]: [ 153 / 315 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.398 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.398 * * * * [progress]: [ 154 / 315 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.398 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.398 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.398 * * * * [progress]: [ 155 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.398 * [simplify]: Simplified (2 1) to (λ (k n) (/ -1 (- (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.398 * [simplify]: Simplified (2 2) to (λ (k n) (/ -1 (- (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.398 * * * * [progress]: [ 156 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.398 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.398 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.398 * * * * [progress]: [ 157 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.398 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.399 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.399 * * * * [progress]: [ 158 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.399 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.399 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))
13.399 * * * * [progress]: [ 159 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.399 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.399 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (cbrt (sqrt k))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.399 * * * * [progress]: [ 160 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.399 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.399 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.400 * * * * [progress]: [ 161 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.400 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.400 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.400 * * * * [progress]: [ 162 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.400 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.400 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (cbrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
13.400 * * * * [progress]: [ 163 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.400 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.400 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (* (/ 1 (sqrt (cbrt k))) (pow (* PI 2) (/ (- 1 k) 2)))))
13.400 * * * * [progress]: [ 164 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.400 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.400 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.401 * * * * [progress]: [ 165 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.401 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.401 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.401 * * * * [progress]: [ 166 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.401 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.401 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.401 * * * * [progress]: [ 167 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.401 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (fabs (cbrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.401 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt (cbrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
13.401 * * * * [progress]: [ 168 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.401 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.402 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* PI 2) (/ (- 1 k) 2)))))
13.402 * * * * [progress]: [ 169 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.402 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.402 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.402 * * * * [progress]: [ 170 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.402 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.402 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.402 * * * * [progress]: [ 171 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.402 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.402 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.402 * * * * [progress]: [ 172 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.402 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.403 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))))))
13.403 * * * * [progress]: [ 173 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.403 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.403 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))
13.403 * * * * [progress]: [ 174 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.403 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.403 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.403 * * * * [progress]: [ 175 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.403 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.403 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (* (/ 1 (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.403 * * * * [progress]: [ 176 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.403 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.404 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.404 * * * * [progress]: [ 177 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.404 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.404 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
13.404 * * * * [progress]: [ 178 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.404 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.404 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* PI 2) (/ (- 1 k) 2)))))
13.404 * * * * [progress]: [ 179 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.404 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.404 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.404 * * * * [progress]: [ 180 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.404 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.405 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.405 * * * * [progress]: [ 181 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.405 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.405 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.405 * * * * [progress]: [ 182 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.405 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.405 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))))))
13.405 * * * * [progress]: [ 183 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.405 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.405 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))
13.405 * * * * [progress]: [ 184 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.405 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.406 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.406 * * * * [progress]: [ 185 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.406 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.406 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (* (/ 1 (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.406 * * * * [progress]: [ 186 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.406 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.406 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.406 * * * * [progress]: [ 187 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.406 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.406 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
13.406 * * * * [progress]: [ 188 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.406 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.406 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.407 * * * * [progress]: [ 189 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.407 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.407 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))
13.407 * * * * [progress]: [ 190 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2)))))>
13.407 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) 1/2)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2)))))
13.407 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (/ 1 (pow (* 2 (* n PI)) (/ k 2)))))
13.407 * * * * [progress]: [ 191 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.407 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.407 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.407 * * * * [progress]: [ 192 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.407 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.407 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.407 * * * * [progress]: [ 193 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.408 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.408 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))
13.408 * * * * [progress]: [ 194 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.408 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.408 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (cbrt (sqrt k))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.408 * * * * [progress]: [ 195 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.408 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.408 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.408 * * * * [progress]: [ 196 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.408 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.408 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.409 * * * * [progress]: [ 197 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.409 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.409 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (cbrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
13.409 * * * * [progress]: [ 198 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.409 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.409 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (* (/ 1 (sqrt (cbrt k))) (pow (* PI 2) (/ (- 1 k) 2)))))
13.409 * * * * [progress]: [ 199 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.409 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.409 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.409 * * * * [progress]: [ 200 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.409 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.410 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.410 * * * * [progress]: [ 201 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.410 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.410 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.410 * * * * [progress]: [ 202 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.410 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (fabs (cbrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.410 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt (cbrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
13.410 * * * * [progress]: [ 203 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.410 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.410 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow (* PI 2) (/ (- 1 k) 2)))))
13.410 * * * * [progress]: [ 204 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.410 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.411 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.411 * * * * [progress]: [ 205 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.411 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.411 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.411 * * * * [progress]: [ 206 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.411 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.411 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.411 * * * * [progress]: [ 207 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.411 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.411 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))))))
13.411 * * * * [progress]: [ 208 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.411 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.412 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))
13.412 * * * * [progress]: [ 209 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.412 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.412 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.412 * * * * [progress]: [ 210 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.412 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.412 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (* (/ 1 (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.412 * * * * [progress]: [ 211 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.412 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.412 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.412 * * * * [progress]: [ 212 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.413 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.413 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
13.413 * * * * [progress]: [ 213 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.413 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.413 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow (* PI 2) (/ (- 1 k) 2)))))
13.413 * * * * [progress]: [ 214 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.413 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.414 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.414 * * * * [progress]: [ 215 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.414 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.414 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.414 * * * * [progress]: [ 216 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.414 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.414 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.414 * * * * [progress]: [ 217 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.414 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.415 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))))))
13.415 * * * * [progress]: [ 218 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.415 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.415 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))
13.415 * * * * [progress]: [ 219 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.415 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.415 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.415 * * * * [progress]: [ 220 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.415 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.415 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (* (/ 1 (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.415 * * * * [progress]: [ 221 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.416 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.416 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.416 * * * * [progress]: [ 222 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.416 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.416 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
13.416 * * * * [progress]: [ 223 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.416 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.416 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.416 * * * * [progress]: [ 224 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.416 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.416 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))
13.416 * * * * [progress]: [ 225 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2)))))>
13.416 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) 1/2)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2)))))
13.417 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (/ 1 (pow (* 2 (* n PI)) (/ k 2)))))
13.417 * * * * [progress]: [ 226 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.417 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.417 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.417 * * * * [progress]: [ 227 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.417 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.417 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.417 * * * * [progress]: [ 228 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.417 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.417 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))
13.417 * * * * [progress]: [ 229 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.417 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.418 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (cbrt (sqrt k))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.418 * * * * [progress]: [ 230 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.418 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.418 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.418 * * * * [progress]: [ 231 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.418 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.418 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.418 * * * * [progress]: [ 232 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.418 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.418 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (cbrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
13.418 * * * * [progress]: [ 233 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.418 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.419 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (* (/ 1 (sqrt (cbrt k))) (pow (* PI 2) (/ (- 1 k) 2)))))
13.419 * * * * [progress]: [ 234 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.419 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.419 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.419 * * * * [progress]: [ 235 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.419 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.419 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.419 * * * * [progress]: [ 236 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.419 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.419 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.419 * * * * [progress]: [ 237 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.419 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (fabs (cbrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.420 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt (cbrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
13.420 * * * * [progress]: [ 238 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.420 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.420 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow (* PI 2) (/ (- 1 k) 2)))))
13.420 * * * * [progress]: [ 239 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.420 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.420 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.420 * * * * [progress]: [ 240 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.420 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.420 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.420 * * * * [progress]: [ 241 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.420 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.421 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.421 * * * * [progress]: [ 242 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.421 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.421 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))))))
13.421 * * * * [progress]: [ 243 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.421 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.421 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))
13.421 * * * * [progress]: [ 244 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.421 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.421 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.421 * * * * [progress]: [ 245 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.421 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.421 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (* (/ 1 (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.422 * * * * [progress]: [ 246 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.422 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.422 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.422 * * * * [progress]: [ 247 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.422 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.422 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
13.422 * * * * [progress]: [ 248 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.422 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.422 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (pow (* PI 2) (/ (- 1 k) 2)))))
13.422 * * * * [progress]: [ 249 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.422 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.422 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.422 * * * * [progress]: [ 250 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.422 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.423 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))))
13.423 * * * * [progress]: [ 251 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.423 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.423 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.423 * * * * [progress]: [ 252 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.423 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.423 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4))))))
13.423 * * * * [progress]: [ 253 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))>
13.423 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))
13.423 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))
13.423 * * * * [progress]: [ 254 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.423 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.423 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (* (/ 1 (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.424 * * * * [progress]: [ 255 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.424 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))
13.424 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (* (/ 1 (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.424 * * * * [progress]: [ 256 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.424 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.424 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.424 * * * * [progress]: [ 257 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.424 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))
13.424 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))))
13.424 * * * * [progress]: [ 258 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.424 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.424 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.424 * * * * [progress]: [ 259 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.424 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.425 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))
13.425 * * * * [progress]: [ 260 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (/ 1 (pow (* n (* 2 PI)) (/ k 2)))))>
13.425 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) 1/2)) (/ 1 (pow (* n (* 2 PI)) (/ k 2)))))
13.425 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (/ 1 (pow (* 2 (* n PI)) (/ k 2)))))
13.425 * * * * [progress]: [ 261 / 315 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.425 * * * * [progress]: [ 262 / 315 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.425 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.425 * * * * [progress]: [ 263 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1)))>
13.425 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.425 * * * * [progress]: [ 264 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.425 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.425 * * * * [progress]: [ 265 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.425 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.426 * * * * [progress]: [ 266 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))>
13.426 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))
13.426 * * * * [progress]: [ 267 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.426 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.426 * * * * [progress]: [ 268 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.426 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.426 * * * * [progress]: [ 269 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
13.426 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))
13.426 * * * * [progress]: [ 270 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.426 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2 (* n PI)) (/ (- 1 k) 4))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))
13.426 * * * * [progress]: [ 271 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))>
13.426 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (/ 1 (fabs (cbrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))
13.426 * * * * [progress]: [ 272 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.426 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.427 * * * * [progress]: [ 273 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.427 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.427 * * * * [progress]: [ 274 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
13.427 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))
13.427 * * * * [progress]: [ 275 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.427 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (/ (fabs (cbrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))
13.427 * * * * [progress]: [ 276 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))>
13.427 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))
13.427 * * * * [progress]: [ 277 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.427 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.427 * * * * [progress]: [ 278 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.427 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.427 * * * * [progress]: [ 279 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
13.427 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))
13.428 * * * * [progress]: [ 280 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.428 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))
13.428 * * * * [progress]: [ 281 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))>
13.428 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
13.428 * * * * [progress]: [ 282 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.428 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.428 * * * * [progress]: [ 283 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.428 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.428 * * * * [progress]: [ 284 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
13.428 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))
13.428 * * * * [progress]: [ 285 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.428 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))
13.428 * * * * [progress]: [ 286 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))>
13.428 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))
13.428 * * * * [progress]: [ 287 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.429 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.429 * * * * [progress]: [ 288 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.429 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.429 * * * * [progress]: [ 289 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
13.429 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))
13.429 * * * * [progress]: [ 290 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.429 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 4)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))
13.429 * * * * [progress]: [ 291 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))>
13.429 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
13.429 * * * * [progress]: [ 292 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.429 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.429 * * * * [progress]: [ 293 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
13.429 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
13.429 * * * * [progress]: [ 294 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
13.429 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))
13.430 * * * * [progress]: [ 295 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.430 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))
13.430 * * * * [progress]: [ 296 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
13.430 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))
13.430 * * * * [progress]: [ 297 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
13.430 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))
13.430 * * * * [progress]: [ 298 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (pow (* n (* 2 PI)) (/ k 2))))>
13.430 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) 1/2)) (pow (* n (* 2 PI)) (/ k 2))))
13.430 * * * * [progress]: [ 299 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt 1))))>
13.430 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.430 * * * * [progress]: [ 300 / 315 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt 1) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1))))>
13.430 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.430 * * * * [progress]: [ 301 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1)))>
13.430 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.430 * * * * [progress]: [ 302 / 315 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
13.430 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
13.430 * * * * [progress]: [ 303 / 315 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
13.430 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))
13.431 * * * * [progress]: [ 304 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))))))>
13.431 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (- (fma 1/4 (* (* (log (* PI 2)) (exp (* 1/2 (log (* 2 (* n PI)))))) (* (log n) (* k k))) (fma 1/8 (* (* (* k k) (* (log n) (log n))) (exp (* 1/2 (log (* 2 (* n PI)))))) (+ (exp (* 1/2 (log (* 2 (* n PI))))) (* (* 1/8 (* (log (* PI 2)) (log (* PI 2)))) (* (exp (* 1/2 (log (* 2 (* n PI))))) (* k k)))))) (* 1/2 (+ (* (* (log n) k) (exp (* 1/2 (log (* 2 (* n PI)))))) (* (* (log (* PI 2)) (exp (* 1/2 (log (* 2 (* n PI)))))) k)))))))
13.431 * * * * [progress]: [ 305 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
13.431 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n))))))))
13.431 * * * * [progress]: [ 306 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
13.431 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)))))))
13.431 * * * * [progress]: [ 307 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
13.431 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.431 * * * * [progress]: [ 308 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
13.431 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.431 * * * * [progress]: [ 309 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
13.432 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))
13.432 * * * * [progress]: [ 310 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
13.432 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (- (- (/ (* +nan.0 (* (sqrt 2) (* (* k k) (* (log (* PI 2)) (* (sqrt 1/2) (sqrt 1/2)))))) PI) (- (* (/ (* (sqrt 1/2) (* k k)) PI) +nan.0) (- (* +nan.0 (/ (* n (* k (sqrt 1/2))) (* PI PI))) (- (* +nan.0 (/ (log n) (/ PI (* (sqrt 2) (* (* (sqrt 1/2) (sqrt 1/2)) (* k k)))))) (/ (* +nan.0 (* k (sqrt 1/2))) PI))))))))
13.432 * * * * [progress]: [ 311 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))))))>
13.432 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (- (fma +nan.0 (/ 1 (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n)))))) (- (fma +nan.0 (/ (/ 1 (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n)))))) (* k k)) (* +nan.0 (- (/ (/ 1 (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n)))))) k)))))))))
13.433 * * * * [progress]: [ 312 / 315 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))))>
13.433 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (- (- (* (/ (/ 1 (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k))))) k) +nan.0) (- (/ (* +nan.0 1) (* (* k k) (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)))))) (/ (* +nan.0 1) (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k))))))))))
13.433 * * * * [progress]: [ 313 / 315 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
13.433 * [simplify]: Simplified (2) to (λ (k n) (- (- (* (* +nan.0 (sqrt 2)) (* (* n PI) k)) (- (* (* +nan.0 (sqrt 2)) (* n PI)) (- (* +nan.0 (* (log (* PI 2)) (* (sqrt 2) (* (* n PI) k)))) (- (* (* (* (sqrt 2) n) (* (* (log n) k) PI)) +nan.0) (* (* +nan.0 (sqrt 2)) (* (* PI PI) (* n n)))))))))
13.434 * * * * [progress]: [ 314 / 315 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
13.434 * [simplify]: Simplified (2) to (λ (k n) (- (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n))))) k) +nan.0) (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n))))) (* k k))) (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI 2)) (- (log n))))) (* k (* k k))))))))
13.434 * * * * [progress]: [ 315 / 315 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
13.434 * [simplify]: Simplified (2) to (λ (k n) (- (- (* (/ (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)))) k) +nan.0) (- (/ (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)))) +nan.0) (* k k)) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1 k)))) +nan.0)))))
13.435 * * * [progress]: adding candidates to table
17.498 * [progress]: [Phase 3 of 3] Extracting.
17.498 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (pow k (/ -1/2 2)) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))> #<alt (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))> #<alt (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))> #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>)
17.499 * * * [regime-changes]: Trying 3 branch expressions: (n (* (* 2 PI) n) k)
17.499 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (pow k (/ -1/2 2)) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))> #<alt (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))> #<alt (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))> #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>)
17.554 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (#<alt (λ (k n) (* (pow k (/ -1/2 2)) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))> #<alt (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))> #<alt (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))> #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>)
17.604 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (#<alt (λ (k n) (* (pow k (/ -1/2 2)) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>)
17.652 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (pow k (/ -1/2 2)) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))> #<alt (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))> #<alt (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))> #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ (sqrt k) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>)
17.707 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
17.707 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
17.707 * * [simplify]: iteration 1: (13 enodes)
17.708 * * [simplify]: iteration 2: (17 enodes)
17.708 * * [simplify]: Extracting #0: cost 1 inf + 0
17.708 * * [simplify]: Extracting #1: cost 3 inf + 0
17.708 * * [simplify]: Extracting #2: cost 4 inf + 1
17.708 * * [simplify]: Extracting #3: cost 7 inf + 1
17.709 * * [simplify]: Extracting #4: cost 9 inf + 43
17.709 * * [simplify]: Extracting #5: cost 6 inf + 170
17.709 * * [simplify]: Extracting #6: cost 5 inf + 171
17.709 * * [simplify]: Extracting #7: cost 3 inf + 296
17.709 * * [simplify]: Extracting #8: cost 1 inf + 1126
17.709 * * [simplify]: Extracting #9: cost 0 inf + 1621
17.709 * [simplify]: Simplified to (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
25.776 * [regime-testing]: Baseline error score: 0.3677579319641825
25.780 * [regime-testing]: Oracle error score: 0.03453629272844961
25.789 * [regime-testing]: End program error score: 0.3677579319641825