1554048210.985 * [progress]: [Phase 1 of 3] Setting up.
1554048210.985 * * * [progress]: [1/2] Preparing points
1554048211.199 * * * [progress]: [2/2] Setting up program.
1554048211.226 * [progress]: [Phase 2 of 3] Improving.
1554048211.226 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1554048211.226 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1554048211.226 * * [simplify]: iters left: 6 (13 enodes)
1554048211.234 * * [simplify]: iters left: 5 (57 enodes)
1554048211.256 * * [simplify]: iters left: 4 (96 enodes)
1554048211.291 * * [simplify]: iters left: 3 (172 enodes)
1554048211.330 * * [simplify]: iters left: 2 (338 enodes)
1554048211.485 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048211.485 * * [simplify]: Extracting #1: cost 41 inf + 0
1554048211.485 * * [simplify]: Extracting #2: cost 120 inf + 1
1554048211.486 * * [simplify]: Extracting #3: cost 166 inf + 127
1554048211.486 * * [simplify]: Extracting #4: cost 166 inf + 467
1554048211.488 * * [simplify]: Extracting #5: cost 119 inf + 9856
1554048211.500 * * [simplify]: Extracting #6: cost 46 inf + 40838
1554048211.518 * * [simplify]: Extracting #7: cost 4 inf + 73302
1554048211.531 * * [simplify]: Extracting #8: cost 0 inf + 76897
1554048211.546 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
1554048211.547 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
1554048211.559 * * [progress]: iteration 1 / 4
1554048211.559 * * * [progress]: picking best candidate
1554048211.569 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))>
1554048211.570 * * * [progress]: localizing error
1554048211.611 * * * [progress]: generating rewritten candidates
1554048211.611 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1554048211.639 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1554048211.664 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1554048211.685 * * * [progress]: generating series expansions
1554048211.686 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1554048211.686 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
1554048211.686 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
1554048211.686 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1554048211.686 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1554048211.686 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1554048211.686 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1554048211.686 * [taylor]: Taking taylor expansion of 1/2 in k
1554048211.686 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.686 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048211.686 * [taylor]: Taking taylor expansion of 1 in k
1554048211.686 * [backup-simplify]: Simplify 1 into 1
1554048211.686 * [taylor]: Taking taylor expansion of k in k
1554048211.686 * [backup-simplify]: Simplify 0 into 0
1554048211.686 * [backup-simplify]: Simplify 1 into 1
1554048211.686 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554048211.686 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554048211.686 * [taylor]: Taking taylor expansion of 2 in k
1554048211.687 * [backup-simplify]: Simplify 2 into 2
1554048211.687 * [taylor]: Taking taylor expansion of (* n PI) in k
1554048211.687 * [taylor]: Taking taylor expansion of n in k
1554048211.687 * [backup-simplify]: Simplify n into n
1554048211.687 * [taylor]: Taking taylor expansion of PI in k
1554048211.687 * [backup-simplify]: Simplify PI into PI
1554048211.687 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554048211.687 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554048211.687 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554048211.687 * [backup-simplify]: Simplify (- 0) into 0
1554048211.687 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048211.688 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554048211.688 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1554048211.688 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1554048211.688 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554048211.688 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048211.688 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048211.688 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554048211.688 * [taylor]: Taking taylor expansion of 1/2 in n
1554048211.688 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.688 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048211.688 * [taylor]: Taking taylor expansion of 1 in n
1554048211.688 * [backup-simplify]: Simplify 1 into 1
1554048211.688 * [taylor]: Taking taylor expansion of k in n
1554048211.688 * [backup-simplify]: Simplify k into k
1554048211.688 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048211.688 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048211.688 * [taylor]: Taking taylor expansion of 2 in n
1554048211.688 * [backup-simplify]: Simplify 2 into 2
1554048211.688 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048211.688 * [taylor]: Taking taylor expansion of n in n
1554048211.688 * [backup-simplify]: Simplify 0 into 0
1554048211.688 * [backup-simplify]: Simplify 1 into 1
1554048211.688 * [taylor]: Taking taylor expansion of PI in n
1554048211.688 * [backup-simplify]: Simplify PI into PI
1554048211.689 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048211.689 * [backup-simplify]: Simplify (* 2 0) into 0
1554048211.690 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048211.691 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048211.691 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048211.691 * [backup-simplify]: Simplify (- k) into (- k)
1554048211.691 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048211.691 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554048211.692 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048211.693 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048211.693 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048211.693 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554048211.694 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048211.694 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048211.694 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554048211.694 * [taylor]: Taking taylor expansion of 1/2 in n
1554048211.694 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.694 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048211.694 * [taylor]: Taking taylor expansion of 1 in n
1554048211.694 * [backup-simplify]: Simplify 1 into 1
1554048211.694 * [taylor]: Taking taylor expansion of k in n
1554048211.694 * [backup-simplify]: Simplify k into k
1554048211.694 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048211.694 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048211.694 * [taylor]: Taking taylor expansion of 2 in n
1554048211.694 * [backup-simplify]: Simplify 2 into 2
1554048211.694 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048211.694 * [taylor]: Taking taylor expansion of n in n
1554048211.694 * [backup-simplify]: Simplify 0 into 0
1554048211.694 * [backup-simplify]: Simplify 1 into 1
1554048211.694 * [taylor]: Taking taylor expansion of PI in n
1554048211.694 * [backup-simplify]: Simplify PI into PI
1554048211.694 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048211.694 * [backup-simplify]: Simplify (* 2 0) into 0
1554048211.695 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048211.696 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048211.697 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048211.697 * [backup-simplify]: Simplify (- k) into (- k)
1554048211.697 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048211.697 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554048211.698 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048211.698 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048211.699 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048211.699 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554048211.699 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554048211.699 * [taylor]: Taking taylor expansion of 1/2 in k
1554048211.699 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.699 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554048211.699 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048211.699 * [taylor]: Taking taylor expansion of 1 in k
1554048211.699 * [backup-simplify]: Simplify 1 into 1
1554048211.699 * [taylor]: Taking taylor expansion of k in k
1554048211.699 * [backup-simplify]: Simplify 0 into 0
1554048211.699 * [backup-simplify]: Simplify 1 into 1
1554048211.699 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554048211.699 * [taylor]: Taking taylor expansion of (log n) in k
1554048211.699 * [taylor]: Taking taylor expansion of n in k
1554048211.699 * [backup-simplify]: Simplify n into n
1554048211.699 * [backup-simplify]: Simplify (log n) into (log n)
1554048211.699 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048211.699 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048211.699 * [taylor]: Taking taylor expansion of 2 in k
1554048211.699 * [backup-simplify]: Simplify 2 into 2
1554048211.699 * [taylor]: Taking taylor expansion of PI in k
1554048211.699 * [backup-simplify]: Simplify PI into PI
1554048211.700 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048211.700 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048211.700 * [backup-simplify]: Simplify (- 0) into 0
1554048211.701 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048211.701 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048211.702 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554048211.703 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1554048211.703 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554048211.704 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554048211.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554048211.705 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554048211.706 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048211.706 * [backup-simplify]: Simplify (- 0) into 0
1554048211.706 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1554048211.707 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048211.708 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554048211.710 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048211.710 * [taylor]: Taking taylor expansion of 0 in k
1554048211.710 * [backup-simplify]: Simplify 0 into 0
1554048211.710 * [backup-simplify]: Simplify 0 into 0
1554048211.711 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554048211.712 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048211.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048211.714 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.714 * [backup-simplify]: Simplify (- 1) into -1
1554048211.715 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048211.716 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554048211.718 * [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)))))
1554048211.721 * [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)))))))
1554048211.724 * [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)))))))
1554048211.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048211.726 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554048211.730 * [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
1554048211.730 * [backup-simplify]: Simplify (- 0) into 0
1554048211.730 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554048211.733 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048211.734 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048211.737 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048211.737 * [taylor]: Taking taylor expansion of 0 in k
1554048211.737 * [backup-simplify]: Simplify 0 into 0
1554048211.737 * [backup-simplify]: Simplify 0 into 0
1554048211.737 * [backup-simplify]: Simplify 0 into 0
1554048211.739 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554048211.740 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048211.743 * [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
1554048211.743 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.744 * [backup-simplify]: Simplify (- 0) into 0
1554048211.744 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048211.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048211.752 * [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)))))
1554048211.755 * [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)))))
1554048211.761 * [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)))))
1554048211.762 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
1554048211.762 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1554048211.762 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1554048211.762 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554048211.762 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554048211.762 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1554048211.762 * [taylor]: Taking taylor expansion of 1/2 in k
1554048211.762 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.762 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048211.762 * [taylor]: Taking taylor expansion of 1 in k
1554048211.762 * [backup-simplify]: Simplify 1 into 1
1554048211.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048211.762 * [taylor]: Taking taylor expansion of k in k
1554048211.762 * [backup-simplify]: Simplify 0 into 0
1554048211.762 * [backup-simplify]: Simplify 1 into 1
1554048211.762 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048211.763 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554048211.763 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554048211.763 * [taylor]: Taking taylor expansion of 2 in k
1554048211.763 * [backup-simplify]: Simplify 2 into 2
1554048211.763 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048211.763 * [taylor]: Taking taylor expansion of PI in k
1554048211.763 * [backup-simplify]: Simplify PI into PI
1554048211.763 * [taylor]: Taking taylor expansion of n in k
1554048211.763 * [backup-simplify]: Simplify n into n
1554048211.763 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048211.763 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554048211.763 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554048211.763 * [backup-simplify]: Simplify (- 1) into -1
1554048211.763 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048211.764 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1554048211.764 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1554048211.764 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554048211.764 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554048211.764 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048211.764 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048211.764 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554048211.764 * [taylor]: Taking taylor expansion of 1/2 in n
1554048211.764 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.764 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048211.764 * [taylor]: Taking taylor expansion of 1 in n
1554048211.764 * [backup-simplify]: Simplify 1 into 1
1554048211.764 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048211.764 * [taylor]: Taking taylor expansion of k in n
1554048211.764 * [backup-simplify]: Simplify k into k
1554048211.764 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048211.764 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048211.764 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048211.764 * [taylor]: Taking taylor expansion of 2 in n
1554048211.764 * [backup-simplify]: Simplify 2 into 2
1554048211.764 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048211.764 * [taylor]: Taking taylor expansion of PI in n
1554048211.764 * [backup-simplify]: Simplify PI into PI
1554048211.764 * [taylor]: Taking taylor expansion of n in n
1554048211.764 * [backup-simplify]: Simplify 0 into 0
1554048211.764 * [backup-simplify]: Simplify 1 into 1
1554048211.764 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048211.765 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048211.765 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048211.765 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048211.765 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048211.766 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554048211.766 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048211.767 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048211.768 * [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)))))
1554048211.768 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554048211.768 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048211.768 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048211.768 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554048211.768 * [taylor]: Taking taylor expansion of 1/2 in n
1554048211.768 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.768 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048211.768 * [taylor]: Taking taylor expansion of 1 in n
1554048211.768 * [backup-simplify]: Simplify 1 into 1
1554048211.768 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048211.768 * [taylor]: Taking taylor expansion of k in n
1554048211.768 * [backup-simplify]: Simplify k into k
1554048211.768 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048211.768 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048211.768 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048211.768 * [taylor]: Taking taylor expansion of 2 in n
1554048211.768 * [backup-simplify]: Simplify 2 into 2
1554048211.768 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048211.768 * [taylor]: Taking taylor expansion of PI in n
1554048211.768 * [backup-simplify]: Simplify PI into PI
1554048211.768 * [taylor]: Taking taylor expansion of n in n
1554048211.768 * [backup-simplify]: Simplify 0 into 0
1554048211.768 * [backup-simplify]: Simplify 1 into 1
1554048211.768 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048211.769 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048211.769 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048211.769 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048211.769 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048211.769 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554048211.770 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048211.771 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048211.772 * [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)))))
1554048211.772 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554048211.772 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554048211.772 * [taylor]: Taking taylor expansion of 1/2 in k
1554048211.772 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.772 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554048211.772 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048211.772 * [taylor]: Taking taylor expansion of 1 in k
1554048211.772 * [backup-simplify]: Simplify 1 into 1
1554048211.772 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048211.772 * [taylor]: Taking taylor expansion of k in k
1554048211.772 * [backup-simplify]: Simplify 0 into 0
1554048211.772 * [backup-simplify]: Simplify 1 into 1
1554048211.772 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048211.772 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554048211.772 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048211.772 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048211.772 * [taylor]: Taking taylor expansion of 2 in k
1554048211.772 * [backup-simplify]: Simplify 2 into 2
1554048211.772 * [taylor]: Taking taylor expansion of PI in k
1554048211.772 * [backup-simplify]: Simplify PI into PI
1554048211.773 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048211.773 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048211.773 * [taylor]: Taking taylor expansion of (log n) in k
1554048211.773 * [taylor]: Taking taylor expansion of n in k
1554048211.773 * [backup-simplify]: Simplify n into n
1554048211.773 * [backup-simplify]: Simplify (log n) into (log n)
1554048211.776 * [backup-simplify]: Simplify (- 1) into -1
1554048211.777 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048211.777 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048211.778 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554048211.778 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554048211.779 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1554048211.780 * [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)))))
1554048211.780 * [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)))))
1554048211.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048211.782 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048211.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048211.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048211.784 * [backup-simplify]: Simplify (- 0) into 0
1554048211.784 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1554048211.786 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048211.787 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554048211.789 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048211.789 * [taylor]: Taking taylor expansion of 0 in k
1554048211.789 * [backup-simplify]: Simplify 0 into 0
1554048211.789 * [backup-simplify]: Simplify 0 into 0
1554048211.789 * [backup-simplify]: Simplify 0 into 0
1554048211.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048211.791 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048211.795 * [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
1554048211.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048211.795 * [backup-simplify]: Simplify (- 0) into 0
1554048211.796 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554048211.798 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048211.799 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554048211.801 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048211.801 * [taylor]: Taking taylor expansion of 0 in k
1554048211.801 * [backup-simplify]: Simplify 0 into 0
1554048211.801 * [backup-simplify]: Simplify 0 into 0
1554048211.802 * [backup-simplify]: Simplify 0 into 0
1554048211.802 * [backup-simplify]: Simplify 0 into 0
1554048211.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048211.804 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048211.810 * [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
1554048211.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048211.811 * [backup-simplify]: Simplify (- 0) into 0
1554048211.811 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554048211.813 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048211.815 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554048211.818 * [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
1554048211.818 * [taylor]: Taking taylor expansion of 0 in k
1554048211.818 * [backup-simplify]: Simplify 0 into 0
1554048211.818 * [backup-simplify]: Simplify 0 into 0
1554048211.819 * [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))))))
1554048211.820 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
1554048211.820 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1554048211.820 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1554048211.820 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554048211.820 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554048211.820 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1554048211.820 * [taylor]: Taking taylor expansion of 1/2 in k
1554048211.820 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048211.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048211.820 * [taylor]: Taking taylor expansion of k in k
1554048211.820 * [backup-simplify]: Simplify 0 into 0
1554048211.820 * [backup-simplify]: Simplify 1 into 1
1554048211.821 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048211.821 * [taylor]: Taking taylor expansion of 1 in k
1554048211.821 * [backup-simplify]: Simplify 1 into 1
1554048211.821 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554048211.821 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554048211.821 * [taylor]: Taking taylor expansion of -2 in k
1554048211.821 * [backup-simplify]: Simplify -2 into -2
1554048211.821 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048211.821 * [taylor]: Taking taylor expansion of PI in k
1554048211.821 * [backup-simplify]: Simplify PI into PI
1554048211.821 * [taylor]: Taking taylor expansion of n in k
1554048211.821 * [backup-simplify]: Simplify n into n
1554048211.821 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048211.821 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554048211.821 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554048211.822 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048211.822 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554048211.822 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1554048211.822 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554048211.822 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554048211.822 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048211.822 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048211.822 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554048211.822 * [taylor]: Taking taylor expansion of 1/2 in n
1554048211.823 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.823 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048211.823 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048211.823 * [taylor]: Taking taylor expansion of k in n
1554048211.823 * [backup-simplify]: Simplify k into k
1554048211.823 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048211.823 * [taylor]: Taking taylor expansion of 1 in n
1554048211.823 * [backup-simplify]: Simplify 1 into 1
1554048211.823 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048211.823 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048211.823 * [taylor]: Taking taylor expansion of -2 in n
1554048211.823 * [backup-simplify]: Simplify -2 into -2
1554048211.823 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048211.823 * [taylor]: Taking taylor expansion of PI in n
1554048211.823 * [backup-simplify]: Simplify PI into PI
1554048211.823 * [taylor]: Taking taylor expansion of n in n
1554048211.823 * [backup-simplify]: Simplify 0 into 0
1554048211.823 * [backup-simplify]: Simplify 1 into 1
1554048211.823 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048211.824 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048211.825 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048211.825 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048211.825 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554048211.826 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048211.827 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048211.828 * [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)))))
1554048211.828 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554048211.829 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048211.829 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048211.829 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554048211.829 * [taylor]: Taking taylor expansion of 1/2 in n
1554048211.829 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.829 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048211.829 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048211.829 * [taylor]: Taking taylor expansion of k in n
1554048211.829 * [backup-simplify]: Simplify k into k
1554048211.829 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048211.829 * [taylor]: Taking taylor expansion of 1 in n
1554048211.829 * [backup-simplify]: Simplify 1 into 1
1554048211.829 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048211.829 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048211.829 * [taylor]: Taking taylor expansion of -2 in n
1554048211.829 * [backup-simplify]: Simplify -2 into -2
1554048211.829 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048211.829 * [taylor]: Taking taylor expansion of PI in n
1554048211.829 * [backup-simplify]: Simplify PI into PI
1554048211.829 * [taylor]: Taking taylor expansion of n in n
1554048211.829 * [backup-simplify]: Simplify 0 into 0
1554048211.829 * [backup-simplify]: Simplify 1 into 1
1554048211.830 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048211.830 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048211.831 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048211.831 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048211.831 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554048211.832 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048211.834 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048211.835 * [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)))))
1554048211.835 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554048211.835 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554048211.835 * [taylor]: Taking taylor expansion of 1/2 in k
1554048211.835 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.835 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554048211.835 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048211.835 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048211.835 * [taylor]: Taking taylor expansion of k in k
1554048211.835 * [backup-simplify]: Simplify 0 into 0
1554048211.835 * [backup-simplify]: Simplify 1 into 1
1554048211.835 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048211.835 * [taylor]: Taking taylor expansion of 1 in k
1554048211.835 * [backup-simplify]: Simplify 1 into 1
1554048211.835 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554048211.835 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554048211.835 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554048211.835 * [taylor]: Taking taylor expansion of -2 in k
1554048211.836 * [backup-simplify]: Simplify -2 into -2
1554048211.836 * [taylor]: Taking taylor expansion of PI in k
1554048211.836 * [backup-simplify]: Simplify PI into PI
1554048211.836 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048211.837 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048211.837 * [taylor]: Taking taylor expansion of (log n) in k
1554048211.837 * [taylor]: Taking taylor expansion of n in k
1554048211.837 * [backup-simplify]: Simplify n into n
1554048211.837 * [backup-simplify]: Simplify (log n) into (log n)
1554048211.838 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048211.838 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048211.839 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554048211.840 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554048211.841 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1554048211.842 * [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)))))
1554048211.843 * [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)))))
1554048211.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048211.844 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554048211.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554048211.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048211.847 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1554048211.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048211.849 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554048211.851 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048211.851 * [taylor]: Taking taylor expansion of 0 in k
1554048211.851 * [backup-simplify]: Simplify 0 into 0
1554048211.851 * [backup-simplify]: Simplify 0 into 0
1554048211.851 * [backup-simplify]: Simplify 0 into 0
1554048211.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048211.853 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048211.857 * [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
1554048211.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048211.857 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554048211.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048211.861 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554048211.863 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048211.863 * [taylor]: Taking taylor expansion of 0 in k
1554048211.863 * [backup-simplify]: Simplify 0 into 0
1554048211.863 * [backup-simplify]: Simplify 0 into 0
1554048211.863 * [backup-simplify]: Simplify 0 into 0
1554048211.863 * [backup-simplify]: Simplify 0 into 0
1554048211.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048211.865 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048211.872 * [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
1554048211.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048211.872 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1554048211.874 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048211.875 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1554048211.877 * [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
1554048211.877 * [taylor]: Taking taylor expansion of 0 in k
1554048211.877 * [backup-simplify]: Simplify 0 into 0
1554048211.877 * [backup-simplify]: Simplify 0 into 0
1554048211.878 * [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))))))
1554048211.878 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1554048211.878 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
1554048211.878 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1554048211.878 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048211.878 * [taylor]: Taking taylor expansion of 2 in n
1554048211.878 * [backup-simplify]: Simplify 2 into 2
1554048211.878 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048211.878 * [taylor]: Taking taylor expansion of n in n
1554048211.878 * [backup-simplify]: Simplify 0 into 0
1554048211.878 * [backup-simplify]: Simplify 1 into 1
1554048211.878 * [taylor]: Taking taylor expansion of PI in n
1554048211.878 * [backup-simplify]: Simplify PI into PI
1554048211.878 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048211.878 * [taylor]: Taking taylor expansion of 2 in n
1554048211.878 * [backup-simplify]: Simplify 2 into 2
1554048211.878 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048211.878 * [taylor]: Taking taylor expansion of n in n
1554048211.878 * [backup-simplify]: Simplify 0 into 0
1554048211.878 * [backup-simplify]: Simplify 1 into 1
1554048211.878 * [taylor]: Taking taylor expansion of PI in n
1554048211.878 * [backup-simplify]: Simplify PI into PI
1554048211.879 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048211.879 * [backup-simplify]: Simplify (* 2 0) into 0
1554048211.879 * [backup-simplify]: Simplify 0 into 0
1554048211.880 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048211.881 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048211.881 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048211.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554048211.882 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554048211.882 * [backup-simplify]: Simplify 0 into 0
1554048211.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048211.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554048211.884 * [backup-simplify]: Simplify 0 into 0
1554048211.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048211.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554048211.885 * [backup-simplify]: Simplify 0 into 0
1554048211.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048211.887 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1554048211.887 * [backup-simplify]: Simplify 0 into 0
1554048211.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048211.889 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1554048211.889 * [backup-simplify]: Simplify 0 into 0
1554048211.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1554048211.891 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1554048211.891 * [backup-simplify]: Simplify 0 into 0
1554048211.891 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1554048211.891 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
1554048211.891 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1554048211.891 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048211.891 * [taylor]: Taking taylor expansion of 2 in n
1554048211.892 * [backup-simplify]: Simplify 2 into 2
1554048211.892 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048211.892 * [taylor]: Taking taylor expansion of PI in n
1554048211.892 * [backup-simplify]: Simplify PI into PI
1554048211.892 * [taylor]: Taking taylor expansion of n in n
1554048211.892 * [backup-simplify]: Simplify 0 into 0
1554048211.892 * [backup-simplify]: Simplify 1 into 1
1554048211.892 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048211.892 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048211.892 * [taylor]: Taking taylor expansion of 2 in n
1554048211.892 * [backup-simplify]: Simplify 2 into 2
1554048211.892 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048211.892 * [taylor]: Taking taylor expansion of PI in n
1554048211.892 * [backup-simplify]: Simplify PI into PI
1554048211.892 * [taylor]: Taking taylor expansion of n in n
1554048211.892 * [backup-simplify]: Simplify 0 into 0
1554048211.892 * [backup-simplify]: Simplify 1 into 1
1554048211.892 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048211.893 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048211.893 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048211.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048211.894 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048211.894 * [backup-simplify]: Simplify 0 into 0
1554048211.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048211.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048211.895 * [backup-simplify]: Simplify 0 into 0
1554048211.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048211.898 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048211.898 * [backup-simplify]: Simplify 0 into 0
1554048211.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048211.900 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048211.900 * [backup-simplify]: Simplify 0 into 0
1554048211.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048211.901 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048211.901 * [backup-simplify]: Simplify 0 into 0
1554048211.902 * [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
1554048211.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048211.904 * [backup-simplify]: Simplify 0 into 0
1554048211.905 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1554048211.905 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
1554048211.905 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1554048211.905 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048211.905 * [taylor]: Taking taylor expansion of -2 in n
1554048211.905 * [backup-simplify]: Simplify -2 into -2
1554048211.905 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048211.905 * [taylor]: Taking taylor expansion of PI in n
1554048211.905 * [backup-simplify]: Simplify PI into PI
1554048211.905 * [taylor]: Taking taylor expansion of n in n
1554048211.905 * [backup-simplify]: Simplify 0 into 0
1554048211.905 * [backup-simplify]: Simplify 1 into 1
1554048211.906 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048211.906 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048211.906 * [taylor]: Taking taylor expansion of -2 in n
1554048211.906 * [backup-simplify]: Simplify -2 into -2
1554048211.906 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048211.906 * [taylor]: Taking taylor expansion of PI in n
1554048211.906 * [backup-simplify]: Simplify PI into PI
1554048211.906 * [taylor]: Taking taylor expansion of n in n
1554048211.906 * [backup-simplify]: Simplify 0 into 0
1554048211.906 * [backup-simplify]: Simplify 1 into 1
1554048211.907 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048211.907 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048211.908 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048211.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048211.909 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554048211.909 * [backup-simplify]: Simplify 0 into 0
1554048211.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048211.911 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048211.911 * [backup-simplify]: Simplify 0 into 0
1554048211.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048211.914 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048211.914 * [backup-simplify]: Simplify 0 into 0
1554048211.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048211.916 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048211.916 * [backup-simplify]: Simplify 0 into 0
1554048211.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048211.919 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048211.919 * [backup-simplify]: Simplify 0 into 0
1554048211.920 * [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
1554048211.921 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048211.921 * [backup-simplify]: Simplify 0 into 0
1554048211.922 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1554048211.922 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1554048211.923 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
1554048211.923 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
1554048211.923 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1554048211.923 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1554048211.923 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1554048211.923 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1554048211.923 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1554048211.923 * [taylor]: Taking taylor expansion of 1/2 in k
1554048211.923 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.923 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048211.923 * [taylor]: Taking taylor expansion of 1 in k
1554048211.923 * [backup-simplify]: Simplify 1 into 1
1554048211.923 * [taylor]: Taking taylor expansion of k in k
1554048211.923 * [backup-simplify]: Simplify 0 into 0
1554048211.923 * [backup-simplify]: Simplify 1 into 1
1554048211.923 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554048211.923 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554048211.923 * [taylor]: Taking taylor expansion of 2 in k
1554048211.923 * [backup-simplify]: Simplify 2 into 2
1554048211.923 * [taylor]: Taking taylor expansion of (* n PI) in k
1554048211.923 * [taylor]: Taking taylor expansion of n in k
1554048211.923 * [backup-simplify]: Simplify n into n
1554048211.923 * [taylor]: Taking taylor expansion of PI in k
1554048211.923 * [backup-simplify]: Simplify PI into PI
1554048211.923 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554048211.924 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554048211.924 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554048211.924 * [backup-simplify]: Simplify (- 0) into 0
1554048211.924 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048211.925 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554048211.925 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1554048211.925 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1554048211.925 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554048211.925 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048211.925 * [taylor]: Taking taylor expansion of k in k
1554048211.925 * [backup-simplify]: Simplify 0 into 0
1554048211.925 * [backup-simplify]: Simplify 1 into 1
1554048211.926 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048211.926 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048211.928 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048211.928 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1554048211.928 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554048211.928 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048211.928 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048211.928 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554048211.928 * [taylor]: Taking taylor expansion of 1/2 in n
1554048211.928 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.928 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048211.928 * [taylor]: Taking taylor expansion of 1 in n
1554048211.928 * [backup-simplify]: Simplify 1 into 1
1554048211.928 * [taylor]: Taking taylor expansion of k in n
1554048211.928 * [backup-simplify]: Simplify k into k
1554048211.928 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048211.928 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048211.928 * [taylor]: Taking taylor expansion of 2 in n
1554048211.928 * [backup-simplify]: Simplify 2 into 2
1554048211.928 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048211.928 * [taylor]: Taking taylor expansion of n in n
1554048211.928 * [backup-simplify]: Simplify 0 into 0
1554048211.928 * [backup-simplify]: Simplify 1 into 1
1554048211.928 * [taylor]: Taking taylor expansion of PI in n
1554048211.928 * [backup-simplify]: Simplify PI into PI
1554048211.929 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048211.930 * [backup-simplify]: Simplify (* 2 0) into 0
1554048211.931 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048211.933 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048211.933 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048211.934 * [backup-simplify]: Simplify (- k) into (- k)
1554048211.934 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048211.934 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554048211.935 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048211.936 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048211.937 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048211.937 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1554048211.937 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048211.937 * [taylor]: Taking taylor expansion of k in n
1554048211.937 * [backup-simplify]: Simplify k into k
1554048211.937 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048211.937 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1554048211.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048211.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1554048211.938 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1554048211.938 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554048211.938 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048211.938 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048211.938 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554048211.938 * [taylor]: Taking taylor expansion of 1/2 in n
1554048211.938 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.938 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048211.938 * [taylor]: Taking taylor expansion of 1 in n
1554048211.938 * [backup-simplify]: Simplify 1 into 1
1554048211.938 * [taylor]: Taking taylor expansion of k in n
1554048211.938 * [backup-simplify]: Simplify k into k
1554048211.938 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048211.938 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048211.938 * [taylor]: Taking taylor expansion of 2 in n
1554048211.938 * [backup-simplify]: Simplify 2 into 2
1554048211.938 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048211.938 * [taylor]: Taking taylor expansion of n in n
1554048211.938 * [backup-simplify]: Simplify 0 into 0
1554048211.938 * [backup-simplify]: Simplify 1 into 1
1554048211.938 * [taylor]: Taking taylor expansion of PI in n
1554048211.938 * [backup-simplify]: Simplify PI into PI
1554048211.939 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048211.939 * [backup-simplify]: Simplify (* 2 0) into 0
1554048211.941 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048211.942 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048211.943 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048211.943 * [backup-simplify]: Simplify (- k) into (- k)
1554048211.943 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048211.943 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554048211.945 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048211.946 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048211.947 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048211.947 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1554048211.947 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048211.947 * [taylor]: Taking taylor expansion of k in n
1554048211.947 * [backup-simplify]: Simplify k into k
1554048211.947 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048211.947 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1554048211.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048211.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1554048211.948 * [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)))
1554048211.948 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
1554048211.948 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554048211.948 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554048211.949 * [taylor]: Taking taylor expansion of 1/2 in k
1554048211.949 * [backup-simplify]: Simplify 1/2 into 1/2
1554048211.949 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554048211.949 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048211.949 * [taylor]: Taking taylor expansion of 1 in k
1554048211.949 * [backup-simplify]: Simplify 1 into 1
1554048211.949 * [taylor]: Taking taylor expansion of k in k
1554048211.949 * [backup-simplify]: Simplify 0 into 0
1554048211.949 * [backup-simplify]: Simplify 1 into 1
1554048211.949 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554048211.949 * [taylor]: Taking taylor expansion of (log n) in k
1554048211.949 * [taylor]: Taking taylor expansion of n in k
1554048211.949 * [backup-simplify]: Simplify n into n
1554048211.949 * [backup-simplify]: Simplify (log n) into (log n)
1554048211.949 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048211.949 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048211.949 * [taylor]: Taking taylor expansion of 2 in k
1554048211.949 * [backup-simplify]: Simplify 2 into 2
1554048211.949 * [taylor]: Taking taylor expansion of PI in k
1554048211.949 * [backup-simplify]: Simplify PI into PI
1554048211.950 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048211.950 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048211.951 * [backup-simplify]: Simplify (- 0) into 0
1554048211.951 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048211.952 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048211.953 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554048211.954 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1554048211.954 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554048211.954 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554048211.954 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048211.954 * [taylor]: Taking taylor expansion of k in k
1554048211.954 * [backup-simplify]: Simplify 0 into 0
1554048211.954 * [backup-simplify]: Simplify 1 into 1
1554048211.955 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048211.955 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048211.956 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048211.956 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1554048211.956 * [backup-simplify]: Simplify 0 into 0
1554048211.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554048211.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554048211.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048211.959 * [backup-simplify]: Simplify (- 0) into 0
1554048211.959 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1554048211.960 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048211.961 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554048211.962 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048211.963 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
1554048211.963 * [taylor]: Taking taylor expansion of 0 in k
1554048211.963 * [backup-simplify]: Simplify 0 into 0
1554048211.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554048211.964 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048211.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048211.965 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.965 * [backup-simplify]: Simplify (- 1) into -1
1554048211.965 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048211.966 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554048211.968 * [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)))))
1554048211.969 * [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)))))))
1554048211.972 * [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)))))))
1554048211.972 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554048211.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048211.973 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1554048211.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048211.974 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554048211.976 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554048211.976 * [backup-simplify]: Simplify (- 0) into 0
1554048211.977 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554048211.978 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048211.979 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048211.980 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048211.981 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
1554048211.981 * [taylor]: Taking taylor expansion of 0 in k
1554048211.981 * [backup-simplify]: Simplify 0 into 0
1554048211.981 * [backup-simplify]: Simplify 0 into 0
1554048211.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1554048211.984 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554048211.985 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554048211.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048211.987 * [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
1554048211.987 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.988 * [backup-simplify]: Simplify (- 0) into 0
1554048211.988 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048211.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048211.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048211.993 * [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)))))
1554048211.999 * [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))))))))
1554048212.001 * [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))))))))
1554048212.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048212.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1554048212.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048212.006 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554048212.009 * [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
1554048212.009 * [backup-simplify]: Simplify (- 0) into 0
1554048212.009 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048212.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
1554048212.011 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048212.012 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554048212.013 * [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
1554048212.015 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
1554048212.015 * [taylor]: Taking taylor expansion of 0 in k
1554048212.015 * [backup-simplify]: Simplify 0 into 0
1554048212.015 * [backup-simplify]: Simplify 0 into 0
1554048212.015 * [backup-simplify]: Simplify 0 into 0
1554048212.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048212.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554048212.019 * [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
1554048212.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048212.025 * [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
1554048212.025 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048212.026 * [backup-simplify]: Simplify (- 0) into 0
1554048212.026 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048212.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554048212.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554048212.037 * [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)))))))
1554048212.054 * [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))))))))))))))
1554048212.065 * [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))))))))))))))
1554048212.083 * [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))))))))))))))))))))))
1554048212.084 * [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))
1554048212.084 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
1554048212.084 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1554048212.084 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1554048212.084 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554048212.084 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554048212.084 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1554048212.084 * [taylor]: Taking taylor expansion of 1/2 in k
1554048212.085 * [backup-simplify]: Simplify 1/2 into 1/2
1554048212.085 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048212.085 * [taylor]: Taking taylor expansion of 1 in k
1554048212.085 * [backup-simplify]: Simplify 1 into 1
1554048212.085 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048212.085 * [taylor]: Taking taylor expansion of k in k
1554048212.085 * [backup-simplify]: Simplify 0 into 0
1554048212.085 * [backup-simplify]: Simplify 1 into 1
1554048212.085 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048212.085 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554048212.085 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554048212.085 * [taylor]: Taking taylor expansion of 2 in k
1554048212.085 * [backup-simplify]: Simplify 2 into 2
1554048212.085 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048212.085 * [taylor]: Taking taylor expansion of PI in k
1554048212.085 * [backup-simplify]: Simplify PI into PI
1554048212.085 * [taylor]: Taking taylor expansion of n in k
1554048212.085 * [backup-simplify]: Simplify n into n
1554048212.085 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048212.086 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554048212.086 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554048212.086 * [backup-simplify]: Simplify (- 1) into -1
1554048212.086 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048212.087 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1554048212.087 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1554048212.087 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554048212.087 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554048212.087 * [taylor]: Taking taylor expansion of k in k
1554048212.087 * [backup-simplify]: Simplify 0 into 0
1554048212.087 * [backup-simplify]: Simplify 1 into 1
1554048212.088 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048212.089 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048212.089 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1554048212.089 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554048212.089 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048212.089 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048212.089 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554048212.089 * [taylor]: Taking taylor expansion of 1/2 in n
1554048212.089 * [backup-simplify]: Simplify 1/2 into 1/2
1554048212.089 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048212.090 * [taylor]: Taking taylor expansion of 1 in n
1554048212.090 * [backup-simplify]: Simplify 1 into 1
1554048212.090 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048212.090 * [taylor]: Taking taylor expansion of k in n
1554048212.090 * [backup-simplify]: Simplify k into k
1554048212.090 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048212.090 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048212.090 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048212.090 * [taylor]: Taking taylor expansion of 2 in n
1554048212.090 * [backup-simplify]: Simplify 2 into 2
1554048212.090 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048212.090 * [taylor]: Taking taylor expansion of PI in n
1554048212.090 * [backup-simplify]: Simplify PI into PI
1554048212.090 * [taylor]: Taking taylor expansion of n in n
1554048212.090 * [backup-simplify]: Simplify 0 into 0
1554048212.090 * [backup-simplify]: Simplify 1 into 1
1554048212.090 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048212.091 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048212.092 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048212.092 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048212.092 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048212.092 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554048212.093 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048212.095 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048212.096 * [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)))))
1554048212.096 * [taylor]: Taking taylor expansion of (sqrt k) in n
1554048212.096 * [taylor]: Taking taylor expansion of k in n
1554048212.096 * [backup-simplify]: Simplify k into k
1554048212.096 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1554048212.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1554048212.096 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1554048212.096 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554048212.096 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048212.096 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048212.096 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554048212.096 * [taylor]: Taking taylor expansion of 1/2 in n
1554048212.096 * [backup-simplify]: Simplify 1/2 into 1/2
1554048212.096 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048212.096 * [taylor]: Taking taylor expansion of 1 in n
1554048212.096 * [backup-simplify]: Simplify 1 into 1
1554048212.096 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048212.096 * [taylor]: Taking taylor expansion of k in n
1554048212.096 * [backup-simplify]: Simplify k into k
1554048212.096 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048212.096 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048212.096 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048212.096 * [taylor]: Taking taylor expansion of 2 in n
1554048212.096 * [backup-simplify]: Simplify 2 into 2
1554048212.096 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048212.096 * [taylor]: Taking taylor expansion of PI in n
1554048212.096 * [backup-simplify]: Simplify PI into PI
1554048212.097 * [taylor]: Taking taylor expansion of n in n
1554048212.097 * [backup-simplify]: Simplify 0 into 0
1554048212.097 * [backup-simplify]: Simplify 1 into 1
1554048212.097 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048212.098 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048212.099 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048212.099 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048212.099 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048212.099 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554048212.101 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048212.102 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048212.103 * [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)))))
1554048212.103 * [taylor]: Taking taylor expansion of (sqrt k) in n
1554048212.103 * [taylor]: Taking taylor expansion of k in n
1554048212.103 * [backup-simplify]: Simplify k into k
1554048212.103 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1554048212.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1554048212.105 * [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))
1554048212.105 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
1554048212.105 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554048212.105 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554048212.105 * [taylor]: Taking taylor expansion of 1/2 in k
1554048212.105 * [backup-simplify]: Simplify 1/2 into 1/2
1554048212.105 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554048212.105 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048212.105 * [taylor]: Taking taylor expansion of 1 in k
1554048212.105 * [backup-simplify]: Simplify 1 into 1
1554048212.105 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048212.105 * [taylor]: Taking taylor expansion of k in k
1554048212.105 * [backup-simplify]: Simplify 0 into 0
1554048212.105 * [backup-simplify]: Simplify 1 into 1
1554048212.105 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048212.105 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554048212.105 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048212.105 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048212.105 * [taylor]: Taking taylor expansion of 2 in k
1554048212.105 * [backup-simplify]: Simplify 2 into 2
1554048212.106 * [taylor]: Taking taylor expansion of PI in k
1554048212.106 * [backup-simplify]: Simplify PI into PI
1554048212.106 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048212.107 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048212.107 * [taylor]: Taking taylor expansion of (log n) in k
1554048212.107 * [taylor]: Taking taylor expansion of n in k
1554048212.107 * [backup-simplify]: Simplify n into n
1554048212.107 * [backup-simplify]: Simplify (log n) into (log n)
1554048212.107 * [backup-simplify]: Simplify (- 1) into -1
1554048212.108 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048212.108 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048212.109 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554048212.110 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554048212.111 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1554048212.112 * [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)))))
1554048212.112 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554048212.112 * [taylor]: Taking taylor expansion of k in k
1554048212.112 * [backup-simplify]: Simplify 0 into 0
1554048212.112 * [backup-simplify]: Simplify 1 into 1
1554048212.113 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048212.114 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048212.115 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
1554048212.115 * [backup-simplify]: Simplify 0 into 0
1554048212.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048212.117 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048212.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048212.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048212.119 * [backup-simplify]: Simplify (- 0) into 0
1554048212.120 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048212.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1554048212.122 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048212.123 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554048212.125 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048212.126 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
1554048212.126 * [taylor]: Taking taylor expansion of 0 in k
1554048212.126 * [backup-simplify]: Simplify 0 into 0
1554048212.126 * [backup-simplify]: Simplify 0 into 0
1554048212.128 * [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)))))))
1554048212.131 * [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)))))))
1554048212.132 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1554048212.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048212.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048212.138 * [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
1554048212.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048212.138 * [backup-simplify]: Simplify (- 0) into 0
1554048212.139 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048212.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554048212.141 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048212.142 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554048212.143 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048212.144 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
1554048212.144 * [taylor]: Taking taylor expansion of 0 in k
1554048212.144 * [backup-simplify]: Simplify 0 into 0
1554048212.144 * [backup-simplify]: Simplify 0 into 0
1554048212.144 * [backup-simplify]: Simplify 0 into 0
1554048212.146 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554048212.147 * [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)))))))
1554048212.148 * [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)))))))
1554048212.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1554048212.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048212.149 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048212.152 * [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
1554048212.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048212.153 * [backup-simplify]: Simplify (- 0) into 0
1554048212.153 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048212.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554048212.155 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048212.156 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554048212.157 * [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
1554048212.158 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
1554048212.158 * [taylor]: Taking taylor expansion of 0 in k
1554048212.158 * [backup-simplify]: Simplify 0 into 0
1554048212.158 * [backup-simplify]: Simplify 0 into 0
1554048212.158 * [backup-simplify]: Simplify 0 into 0
1554048212.159 * [backup-simplify]: Simplify 0 into 0
1554048212.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554048212.162 * [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)))))))
1554048212.163 * [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)))))))
1554048212.165 * [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))))))))
1554048212.166 * [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)))
1554048212.166 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
1554048212.166 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1554048212.166 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1554048212.166 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554048212.166 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554048212.166 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1554048212.166 * [taylor]: Taking taylor expansion of 1/2 in k
1554048212.166 * [backup-simplify]: Simplify 1/2 into 1/2
1554048212.166 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048212.166 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048212.166 * [taylor]: Taking taylor expansion of k in k
1554048212.166 * [backup-simplify]: Simplify 0 into 0
1554048212.166 * [backup-simplify]: Simplify 1 into 1
1554048212.166 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048212.166 * [taylor]: Taking taylor expansion of 1 in k
1554048212.166 * [backup-simplify]: Simplify 1 into 1
1554048212.167 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554048212.167 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554048212.167 * [taylor]: Taking taylor expansion of -2 in k
1554048212.167 * [backup-simplify]: Simplify -2 into -2
1554048212.167 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048212.167 * [taylor]: Taking taylor expansion of PI in k
1554048212.167 * [backup-simplify]: Simplify PI into PI
1554048212.167 * [taylor]: Taking taylor expansion of n in k
1554048212.167 * [backup-simplify]: Simplify n into n
1554048212.167 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048212.167 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554048212.167 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554048212.167 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048212.167 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554048212.167 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1554048212.168 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554048212.168 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1554048212.168 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1554048212.168 * [taylor]: Taking taylor expansion of -1 in k
1554048212.168 * [backup-simplify]: Simplify -1 into -1
1554048212.168 * [taylor]: Taking taylor expansion of k in k
1554048212.168 * [backup-simplify]: Simplify 0 into 0
1554048212.168 * [backup-simplify]: Simplify 1 into 1
1554048212.168 * [backup-simplify]: Simplify (/ -1 1) into -1
1554048212.168 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048212.169 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554048212.169 * [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)))))
1554048212.169 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1554048212.169 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554048212.169 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048212.169 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048212.169 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554048212.169 * [taylor]: Taking taylor expansion of 1/2 in n
1554048212.169 * [backup-simplify]: Simplify 1/2 into 1/2
1554048212.169 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048212.169 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048212.169 * [taylor]: Taking taylor expansion of k in n
1554048212.169 * [backup-simplify]: Simplify k into k
1554048212.169 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048212.170 * [taylor]: Taking taylor expansion of 1 in n
1554048212.170 * [backup-simplify]: Simplify 1 into 1
1554048212.170 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048212.170 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048212.170 * [taylor]: Taking taylor expansion of -2 in n
1554048212.170 * [backup-simplify]: Simplify -2 into -2
1554048212.170 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048212.170 * [taylor]: Taking taylor expansion of PI in n
1554048212.170 * [backup-simplify]: Simplify PI into PI
1554048212.170 * [taylor]: Taking taylor expansion of n in n
1554048212.170 * [backup-simplify]: Simplify 0 into 0
1554048212.170 * [backup-simplify]: Simplify 1 into 1
1554048212.170 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048212.170 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048212.171 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048212.171 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048212.171 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554048212.172 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048212.172 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048212.173 * [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)))))
1554048212.174 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1554048212.174 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1554048212.174 * [taylor]: Taking taylor expansion of -1 in n
1554048212.174 * [backup-simplify]: Simplify -1 into -1
1554048212.174 * [taylor]: Taking taylor expansion of k in n
1554048212.174 * [backup-simplify]: Simplify k into k
1554048212.174 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1554048212.174 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1554048212.174 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1554048212.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1554048212.175 * [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)))
1554048212.175 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1554048212.175 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554048212.175 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048212.175 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048212.175 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554048212.175 * [taylor]: Taking taylor expansion of 1/2 in n
1554048212.175 * [backup-simplify]: Simplify 1/2 into 1/2
1554048212.175 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048212.176 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048212.176 * [taylor]: Taking taylor expansion of k in n
1554048212.176 * [backup-simplify]: Simplify k into k
1554048212.176 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048212.176 * [taylor]: Taking taylor expansion of 1 in n
1554048212.176 * [backup-simplify]: Simplify 1 into 1
1554048212.176 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048212.176 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048212.176 * [taylor]: Taking taylor expansion of -2 in n
1554048212.176 * [backup-simplify]: Simplify -2 into -2
1554048212.176 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048212.176 * [taylor]: Taking taylor expansion of PI in n
1554048212.176 * [backup-simplify]: Simplify PI into PI
1554048212.176 * [taylor]: Taking taylor expansion of n in n
1554048212.176 * [backup-simplify]: Simplify 0 into 0
1554048212.176 * [backup-simplify]: Simplify 1 into 1
1554048212.176 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048212.177 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048212.178 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048212.178 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048212.178 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554048212.179 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048212.181 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048212.182 * [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)))))
1554048212.182 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1554048212.182 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1554048212.182 * [taylor]: Taking taylor expansion of -1 in n
1554048212.182 * [backup-simplify]: Simplify -1 into -1
1554048212.182 * [taylor]: Taking taylor expansion of k in n
1554048212.182 * [backup-simplify]: Simplify k into k
1554048212.182 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1554048212.182 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1554048212.182 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1554048212.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1554048212.184 * [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)))
1554048212.184 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
1554048212.184 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554048212.184 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554048212.184 * [taylor]: Taking taylor expansion of 1/2 in k
1554048212.184 * [backup-simplify]: Simplify 1/2 into 1/2
1554048212.184 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554048212.184 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048212.184 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048212.184 * [taylor]: Taking taylor expansion of k in k
1554048212.184 * [backup-simplify]: Simplify 0 into 0
1554048212.184 * [backup-simplify]: Simplify 1 into 1
1554048212.184 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048212.184 * [taylor]: Taking taylor expansion of 1 in k
1554048212.185 * [backup-simplify]: Simplify 1 into 1
1554048212.185 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554048212.185 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554048212.185 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554048212.185 * [taylor]: Taking taylor expansion of -2 in k
1554048212.185 * [backup-simplify]: Simplify -2 into -2
1554048212.185 * [taylor]: Taking taylor expansion of PI in k
1554048212.185 * [backup-simplify]: Simplify PI into PI
1554048212.185 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048212.186 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048212.186 * [taylor]: Taking taylor expansion of (log n) in k
1554048212.186 * [taylor]: Taking taylor expansion of n in k
1554048212.186 * [backup-simplify]: Simplify n into n
1554048212.186 * [backup-simplify]: Simplify (log n) into (log n)
1554048212.187 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048212.187 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048212.188 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554048212.189 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554048212.190 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1554048212.191 * [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)))))
1554048212.191 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1554048212.191 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1554048212.191 * [taylor]: Taking taylor expansion of -1 in k
1554048212.191 * [backup-simplify]: Simplify -1 into -1
1554048212.191 * [taylor]: Taking taylor expansion of k in k
1554048212.191 * [backup-simplify]: Simplify 0 into 0
1554048212.191 * [backup-simplify]: Simplify 1 into 1
1554048212.192 * [backup-simplify]: Simplify (/ -1 1) into -1
1554048212.192 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048212.194 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554048212.195 * [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))))))
1554048212.196 * [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))))))
1554048212.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048212.198 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554048212.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554048212.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048212.200 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048212.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1554048212.203 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048212.204 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554048212.206 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048212.207 * [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
1554048212.207 * [taylor]: Taking taylor expansion of 0 in k
1554048212.207 * [backup-simplify]: Simplify 0 into 0
1554048212.207 * [backup-simplify]: Simplify 0 into 0
1554048212.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1554048212.211 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554048212.213 * [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)))))))
1554048212.215 * [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)))))))
1554048212.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048212.217 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048212.220 * [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
1554048212.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048212.221 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048212.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554048212.223 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048212.225 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554048212.227 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048212.228 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048212.228 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1554048212.230 * [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
1554048212.230 * [taylor]: Taking taylor expansion of 0 in k
1554048212.230 * [backup-simplify]: Simplify 0 into 0
1554048212.230 * [backup-simplify]: Simplify 0 into 0
1554048212.230 * [backup-simplify]: Simplify 0 into 0
1554048212.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048212.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554048212.239 * [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)))))))
1554048212.240 * [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)))))))
1554048212.244 * [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))))))))))))
1554048212.245 * * * [progress]: simplifying candidates
1554048212.245 * * * * [progress]: [ 1 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1554048212.245 * * * * [progress]: [ 2 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1554048212.245 * * * * [progress]: [ 3 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) (sqrt k)))>
1554048212.245 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))
1554048212.245 * * [simplify]: iters left: 6 (13 enodes)
1554048212.257 * * [simplify]: iters left: 5 (54 enodes)
1554048212.275 * * [simplify]: iters left: 4 (97 enodes)
1554048212.316 * * [simplify]: iters left: 3 (250 enodes)
1554048212.462 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048212.462 * * [simplify]: Extracting #1: cost 34 inf + 0
1554048212.463 * * [simplify]: Extracting #2: cost 100 inf + 73
1554048212.464 * * [simplify]: Extracting #3: cost 126 inf + 1867
1554048212.470 * * [simplify]: Extracting #4: cost 46 inf + 20363
1554048212.483 * * [simplify]: Extracting #5: cost 5 inf + 31901
1554048212.497 * * [simplify]: Extracting #6: cost 0 inf + 33789
1554048212.506 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)
1554048212.506 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (sqrt k)))
1554048212.506 * * * * [progress]: [ 4 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1554048212.506 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))
1554048212.506 * * [simplify]: iters left: 6 (12 enodes)
1554048212.513 * * [simplify]: iters left: 5 (52 enodes)
1554048212.522 * * [simplify]: iters left: 4 (90 enodes)
1554048212.540 * * [simplify]: iters left: 3 (207 enodes)
1554048212.605 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048212.605 * * [simplify]: Extracting #1: cost 29 inf + 0
1554048212.605 * * [simplify]: Extracting #2: cost 88 inf + 73
1554048212.605 * * [simplify]: Extracting #3: cost 117 inf + 443
1554048212.606 * * [simplify]: Extracting #4: cost 77 inf + 5789
1554048212.611 * * [simplify]: Extracting #5: cost 28 inf + 17508
1554048212.622 * * [simplify]: Extracting #6: cost 0 inf + 26056
1554048212.633 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)
1554048212.633 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k)))
1554048212.633 * * * * [progress]: [ 5 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1554048212.633 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
1554048212.634 * * [simplify]: iters left: 6 (11 enodes)
1554048212.640 * * [simplify]: iters left: 5 (51 enodes)
1554048212.657 * * [simplify]: iters left: 4 (97 enodes)
1554048212.691 * * [simplify]: iters left: 3 (201 enodes)
1554048212.758 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048212.758 * * [simplify]: Extracting #1: cost 31 inf + 0
1554048212.758 * * [simplify]: Extracting #2: cost 94 inf + 2
1554048212.759 * * [simplify]: Extracting #3: cost 127 inf + 355
1554048212.760 * * [simplify]: Extracting #4: cost 75 inf + 7402
1554048212.763 * * [simplify]: Extracting #5: cost 31 inf + 16283
1554048212.768 * * [simplify]: Extracting #6: cost 3 inf + 23308
1554048212.773 * * [simplify]: Extracting #7: cost 0 inf + 24140
1554048212.778 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)
1554048212.779 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k)))
1554048212.779 * * * * [progress]: [ 6 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1554048212.779 * * * * [progress]: [ 7 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
1554048212.779 * [simplify]: Simplifying (* n (* 2 PI))
1554048212.779 * * [simplify]: iters left: 4 (5 enodes)
1554048212.783 * * [simplify]: iters left: 3 (19 enodes)
1554048212.787 * * [simplify]: iters left: 2 (27 enodes)
1554048212.795 * * [simplify]: iters left: 1 (32 enodes)
1554048212.803 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048212.803 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048212.803 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048212.803 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048212.803 * [simplify]: Simplified to (* (* PI 2) n)
1554048212.803 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
1554048212.804 * * * * [progress]: [ 8 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
1554048212.804 * [simplify]: Simplifying (* n (* 2 PI))
1554048212.805 * * [simplify]: iters left: 4 (5 enodes)
1554048212.807 * * [simplify]: iters left: 3 (19 enodes)
1554048212.813 * * [simplify]: iters left: 2 (27 enodes)
1554048212.821 * * [simplify]: iters left: 1 (32 enodes)
1554048212.830 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048212.830 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048212.830 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048212.830 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048212.830 * [simplify]: Simplified to (* (* PI 2) n)
1554048212.830 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
1554048212.830 * * * * [progress]: [ 9 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
1554048212.831 * [simplify]: Simplifying (* n (* 2 PI))
1554048212.831 * * [simplify]: iters left: 4 (5 enodes)
1554048212.834 * * [simplify]: iters left: 3 (19 enodes)
1554048212.840 * * [simplify]: iters left: 2 (27 enodes)
1554048212.848 * * [simplify]: iters left: 1 (32 enodes)
1554048212.856 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048212.856 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048212.856 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048212.856 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048212.856 * [simplify]: Simplified to (* (* PI 2) n)
1554048212.856 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
1554048212.857 * * * * [progress]: [ 10 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
1554048212.857 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2))
1554048212.857 * * [simplify]: iters left: 5 (8 enodes)
1554048212.861 * * [simplify]: iters left: 4 (31 enodes)
1554048212.872 * * [simplify]: iters left: 3 (51 enodes)
1554048212.888 * * [simplify]: iters left: 2 (85 enodes)
1554048212.906 * * [simplify]: iters left: 1 (152 enodes)
1554048212.945 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048212.945 * * [simplify]: Extracting #1: cost 13 inf + 0
1554048212.945 * * [simplify]: Extracting #2: cost 59 inf + 1
1554048212.946 * * [simplify]: Extracting #3: cost 76 inf + 9
1554048212.947 * * [simplify]: Extracting #4: cost 41 inf + 3303
1554048212.950 * * [simplify]: Extracting #5: cost 16 inf + 10676
1554048212.955 * * [simplify]: Extracting #6: cost 0 inf + 21028
1554048212.959 * * [simplify]: Extracting #7: cost 0 inf + 20456
1554048212.961 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1554048212.961 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
1554048212.961 * * * * [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)))>
1554048212.962 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2))
1554048212.962 * * [simplify]: iters left: 5 (6 enodes)
1554048212.964 * * [simplify]: iters left: 4 (26 enodes)
1554048212.969 * * [simplify]: iters left: 3 (35 enodes)
1554048212.974 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048212.975 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048212.975 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048212.975 * * [simplify]: Extracting #3: cost 11 inf + 2
1554048212.975 * * [simplify]: Extracting #4: cost 8 inf + 87
1554048212.975 * * [simplify]: Extracting #5: cost 2 inf + 500
1554048212.975 * * [simplify]: Extracting #6: cost 0 inf + 746
1554048212.975 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2))
1554048212.975 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))
1554048212.975 * * * * [progress]: [ 12 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))>
1554048212.976 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2))
1554048212.976 * * [simplify]: iters left: 5 (6 enodes)
1554048212.978 * * [simplify]: iters left: 4 (26 enodes)
1554048212.983 * * [simplify]: iters left: 3 (35 enodes)
1554048212.989 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048212.989 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048212.989 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048212.989 * * [simplify]: Extracting #3: cost 11 inf + 2
1554048212.989 * * [simplify]: Extracting #4: cost 8 inf + 87
1554048212.989 * * [simplify]: Extracting #5: cost 2 inf + 460
1554048212.989 * * [simplify]: Extracting #6: cost 0 inf + 666
1554048212.990 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2))
1554048212.990 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))
1554048212.990 * * * * [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)))>
1554048212.990 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2))
1554048212.990 * * [simplify]: iters left: 5 (7 enodes)
1554048212.995 * * [simplify]: iters left: 4 (25 enodes)
1554048213.004 * * [simplify]: iters left: 3 (30 enodes)
1554048213.014 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.014 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048213.015 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048213.015 * * [simplify]: Extracting #3: cost 10 inf + 82
1554048213.015 * * [simplify]: Extracting #4: cost 7 inf + 206
1554048213.015 * * [simplify]: Extracting #5: cost 2 inf + 575
1554048213.015 * * [simplify]: Extracting #6: cost 1 inf + 818
1554048213.016 * * [simplify]: Extracting #7: cost 0 inf + 1061
1554048213.016 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2))
1554048213.016 * [simplify]: Simplified (2 1 2) to (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)))
1554048213.016 * * * * [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)))>
1554048213.016 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2))
1554048213.017 * * [simplify]: iters left: 5 (7 enodes)
1554048213.019 * * [simplify]: iters left: 4 (25 enodes)
1554048213.026 * * [simplify]: iters left: 3 (30 enodes)
1554048213.031 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.031 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048213.031 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048213.032 * * [simplify]: Extracting #3: cost 10 inf + 42
1554048213.032 * * [simplify]: Extracting #4: cost 7 inf + 126
1554048213.032 * * [simplify]: Extracting #5: cost 2 inf + 495
1554048213.032 * * [simplify]: Extracting #6: cost 1 inf + 698
1554048213.032 * * [simplify]: Extracting #7: cost 0 inf + 901
1554048213.032 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2))
1554048213.032 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))
1554048213.032 * * * * [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)))>
1554048213.033 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2)
1554048213.033 * * [simplify]: iters left: 5 (6 enodes)
1554048213.035 * * [simplify]: iters left: 4 (22 enodes)
1554048213.039 * * [simplify]: iters left: 3 (27 enodes)
1554048213.043 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.043 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048213.043 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048213.043 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048213.044 * * [simplify]: Extracting #4: cost 8 inf + 3
1554048213.044 * * [simplify]: Extracting #5: cost 4 inf + 169
1554048213.044 * * [simplify]: Extracting #6: cost 1 inf + 576
1554048213.044 * * [simplify]: Extracting #7: cost 0 inf + 739
1554048213.044 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
1554048213.044 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k)))
1554048213.044 * * * * [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)))>
1554048213.044 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2))
1554048213.044 * * [simplify]: iters left: 5 (7 enodes)
1554048213.047 * * [simplify]: iters left: 4 (25 enodes)
1554048213.053 * * [simplify]: iters left: 3 (30 enodes)
1554048213.063 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.063 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048213.063 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048213.063 * * [simplify]: Extracting #3: cost 10 inf + 82
1554048213.064 * * [simplify]: Extracting #4: cost 7 inf + 206
1554048213.064 * * [simplify]: Extracting #5: cost 2 inf + 495
1554048213.064 * * [simplify]: Extracting #6: cost 1 inf + 698
1554048213.064 * * [simplify]: Extracting #7: cost 0 inf + 901
1554048213.065 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2))
1554048213.065 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))
1554048213.065 * * * * [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)))>
1554048213.065 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2))
1554048213.065 * * [simplify]: iters left: 5 (7 enodes)
1554048213.070 * * [simplify]: iters left: 4 (25 enodes)
1554048213.079 * * [simplify]: iters left: 3 (30 enodes)
1554048213.089 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.089 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048213.089 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048213.089 * * [simplify]: Extracting #3: cost 10 inf + 42
1554048213.089 * * [simplify]: Extracting #4: cost 7 inf + 126
1554048213.089 * * [simplify]: Extracting #5: cost 2 inf + 415
1554048213.090 * * [simplify]: Extracting #6: cost 1 inf + 578
1554048213.090 * * [simplify]: Extracting #7: cost 0 inf + 741
1554048213.090 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2))
1554048213.090 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))
1554048213.090 * * * * [progress]: [ 18 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))>
1554048213.091 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2)
1554048213.091 * * [simplify]: iters left: 5 (6 enodes)
1554048213.094 * * [simplify]: iters left: 4 (22 enodes)
1554048213.102 * * [simplify]: iters left: 3 (27 enodes)
1554048213.111 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.111 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048213.111 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048213.111 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048213.111 * * [simplify]: Extracting #4: cost 8 inf + 3
1554048213.111 * * [simplify]: Extracting #5: cost 4 inf + 169
1554048213.111 * * [simplify]: Extracting #6: cost 1 inf + 456
1554048213.112 * * [simplify]: Extracting #7: cost 0 inf + 579
1554048213.112 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
1554048213.112 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))
1554048213.112 * * * * [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)))>
1554048213.112 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
1554048213.112 * * [simplify]: iters left: 4 (6 enodes)
1554048213.116 * * [simplify]: iters left: 3 (25 enodes)
1554048213.126 * * [simplify]: iters left: 2 (36 enodes)
1554048213.137 * * [simplify]: iters left: 1 (40 enodes)
1554048213.149 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.150 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048213.150 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048213.150 * * [simplify]: Extracting #3: cost 13 inf + 44
1554048213.150 * * [simplify]: Extracting #4: cost 3 inf + 1103
1554048213.151 * * [simplify]: Extracting #5: cost 0 inf + 1469
1554048213.151 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
1554048213.151 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))
1554048213.151 * * * * [progress]: [ 20 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
1554048213.152 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
1554048213.152 * * [simplify]: iters left: 4 (6 enodes)
1554048213.156 * * [simplify]: iters left: 3 (25 enodes)
1554048213.168 * * [simplify]: iters left: 2 (36 enodes)
1554048213.179 * * [simplify]: iters left: 1 (40 enodes)
1554048213.192 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.192 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048213.192 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048213.192 * * [simplify]: Extracting #3: cost 13 inf + 44
1554048213.192 * * [simplify]: Extracting #4: cost 3 inf + 823
1554048213.193 * * [simplify]: Extracting #5: cost 0 inf + 1069
1554048213.193 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
1554048213.193 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))
1554048213.194 * * * * [progress]: [ 21 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
1554048213.194 * [simplify]: Simplifying (/ (- 1 k) 2)
1554048213.194 * * [simplify]: iters left: 4 (5 enodes)
1554048213.198 * * [simplify]: iters left: 3 (23 enodes)
1554048213.206 * * [simplify]: iters left: 2 (32 enodes)
1554048213.216 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.216 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048213.216 * * [simplify]: Extracting #2: cost 9 inf + 2
1554048213.216 * * [simplify]: Extracting #3: cost 6 inf + 87
1554048213.216 * * [simplify]: Extracting #4: cost 0 inf + 420
1554048213.216 * [simplify]: Simplified to (/ (- 1 k) 2)
1554048213.216 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))
1554048213.217 * * * * [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)))>
1554048213.217 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2))
1554048213.217 * * [simplify]: iters left: 5 (8 enodes)
1554048213.222 * * [simplify]: iters left: 4 (31 enodes)
1554048213.233 * * [simplify]: iters left: 3 (45 enodes)
1554048213.246 * * [simplify]: iters left: 2 (51 enodes)
1554048213.260 * * [simplify]: iters left: 1 (52 enodes)
1554048213.275 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.275 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048213.275 * * [simplify]: Extracting #2: cost 18 inf + 0
1554048213.275 * * [simplify]: Extracting #3: cost 19 inf + 2
1554048213.275 * * [simplify]: Extracting #4: cost 9 inf + 977
1554048213.276 * * [simplify]: Extracting #5: cost 2 inf + 1790
1554048213.276 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554048213.277 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
1554048213.277 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))
1554048213.278 * * * * [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)))>
1554048213.278 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2))
1554048213.278 * * [simplify]: iters left: 5 (8 enodes)
1554048213.282 * * [simplify]: iters left: 4 (31 enodes)
1554048213.288 * * [simplify]: iters left: 3 (45 enodes)
1554048213.295 * * [simplify]: iters left: 2 (51 enodes)
1554048213.304 * * [simplify]: iters left: 1 (52 enodes)
1554048213.311 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.311 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048213.311 * * [simplify]: Extracting #2: cost 18 inf + 0
1554048213.311 * * [simplify]: Extracting #3: cost 19 inf + 2
1554048213.311 * * [simplify]: Extracting #4: cost 9 inf + 697
1554048213.311 * * [simplify]: Extracting #5: cost 2 inf + 1390
1554048213.312 * * [simplify]: Extracting #6: cost 0 inf + 1715
1554048213.312 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
1554048213.312 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))
1554048213.312 * * * * [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)))>
1554048213.312 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2)
1554048213.312 * * [simplify]: iters left: 5 (7 enodes)
1554048213.317 * * [simplify]: iters left: 4 (29 enodes)
1554048213.326 * * [simplify]: iters left: 3 (43 enodes)
1554048213.338 * * [simplify]: iters left: 2 (47 enodes)
1554048213.350 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.350 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048213.350 * * [simplify]: Extracting #2: cost 11 inf + 2
1554048213.350 * * [simplify]: Extracting #3: cost 13 inf + 3
1554048213.350 * * [simplify]: Extracting #4: cost 11 inf + 45
1554048213.350 * * [simplify]: Extracting #5: cost 0 inf + 1066
1554048213.351 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554048213.351 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))
1554048213.351 * * * * [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)))>
1554048213.351 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2))
1554048213.351 * * [simplify]: iters left: 5 (7 enodes)
1554048213.356 * * [simplify]: iters left: 4 (28 enodes)
1554048213.366 * * [simplify]: iters left: 3 (39 enodes)
1554048213.379 * * [simplify]: iters left: 2 (43 enodes)
1554048213.387 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.387 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048213.387 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048213.387 * * [simplify]: Extracting #3: cost 15 inf + 164
1554048213.387 * * [simplify]: Extracting #4: cost 13 inf + 287
1554048213.387 * * [simplify]: Extracting #5: cost 5 inf + 1180
1554048213.387 * * [simplify]: Extracting #6: cost 0 inf + 1951
1554048213.388 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
1554048213.388 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))
1554048213.388 * * * * [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)))>
1554048213.388 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2))
1554048213.388 * * [simplify]: iters left: 5 (7 enodes)
1554048213.391 * * [simplify]: iters left: 4 (28 enodes)
1554048213.396 * * [simplify]: iters left: 3 (39 enodes)
1554048213.402 * * [simplify]: iters left: 2 (43 enodes)
1554048213.409 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.409 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048213.409 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048213.409 * * [simplify]: Extracting #3: cost 15 inf + 84
1554048213.409 * * [simplify]: Extracting #4: cost 13 inf + 167
1554048213.410 * * [simplify]: Extracting #5: cost 5 inf + 900
1554048213.410 * * [simplify]: Extracting #6: cost 0 inf + 1551
1554048213.410 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
1554048213.410 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))
1554048213.410 * * * * [progress]: [ 27 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>
1554048213.411 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2)
1554048213.411 * * [simplify]: iters left: 5 (6 enodes)
1554048213.413 * * [simplify]: iters left: 4 (26 enodes)
1554048213.418 * * [simplify]: iters left: 3 (35 enodes)
1554048213.425 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.425 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048213.425 * * [simplify]: Extracting #2: cost 9 inf + 2
1554048213.425 * * [simplify]: Extracting #3: cost 11 inf + 3
1554048213.426 * * [simplify]: Extracting #4: cost 10 inf + 4
1554048213.426 * * [simplify]: Extracting #5: cost 3 inf + 535
1554048213.426 * * [simplify]: Extracting #6: cost 0 inf + 822
1554048213.426 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554048213.427 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))
1554048213.427 * * * * [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)))>
1554048213.427 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
1554048213.427 * * [simplify]: iters left: 4 (6 enodes)
1554048213.432 * * [simplify]: iters left: 3 (25 enodes)
1554048213.441 * * [simplify]: iters left: 2 (36 enodes)
1554048213.452 * * [simplify]: iters left: 1 (40 enodes)
1554048213.464 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.464 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048213.464 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048213.465 * * [simplify]: Extracting #3: cost 13 inf + 44
1554048213.465 * * [simplify]: Extracting #4: cost 3 inf + 1103
1554048213.465 * * [simplify]: Extracting #5: cost 0 inf + 1469
1554048213.466 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
1554048213.466 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))
1554048213.466 * * * * [progress]: [ 29 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
1554048213.466 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
1554048213.467 * * [simplify]: iters left: 4 (6 enodes)
1554048213.471 * * [simplify]: iters left: 3 (25 enodes)
1554048213.480 * * [simplify]: iters left: 2 (36 enodes)
1554048213.492 * * [simplify]: iters left: 1 (40 enodes)
1554048213.505 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.505 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048213.505 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048213.505 * * [simplify]: Extracting #3: cost 13 inf + 44
1554048213.505 * * [simplify]: Extracting #4: cost 3 inf + 823
1554048213.505 * * [simplify]: Extracting #5: cost 0 inf + 1069
1554048213.506 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
1554048213.506 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))
1554048213.506 * * * * [progress]: [ 30 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
1554048213.506 * [simplify]: Simplifying (/ (- 1 k) 2)
1554048213.506 * * [simplify]: iters left: 4 (5 enodes)
1554048213.508 * * [simplify]: iters left: 3 (23 enodes)
1554048213.513 * * [simplify]: iters left: 2 (32 enodes)
1554048213.518 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.518 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048213.518 * * [simplify]: Extracting #2: cost 9 inf + 2
1554048213.518 * * [simplify]: Extracting #3: cost 6 inf + 87
1554048213.519 * * [simplify]: Extracting #4: cost 0 inf + 420
1554048213.519 * [simplify]: Simplified to (/ (- 1 k) 2)
1554048213.519 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))
1554048213.519 * * * * [progress]: [ 31 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
1554048213.519 * [simplify]: Simplifying (/ (- 1 k) 2)
1554048213.519 * * [simplify]: iters left: 4 (5 enodes)
1554048213.521 * * [simplify]: iters left: 3 (23 enodes)
1554048213.525 * * [simplify]: iters left: 2 (32 enodes)
1554048213.530 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.530 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048213.531 * * [simplify]: Extracting #2: cost 9 inf + 2
1554048213.531 * * [simplify]: Extracting #3: cost 6 inf + 87
1554048213.531 * * [simplify]: Extracting #4: cost 0 inf + 420
1554048213.531 * [simplify]: Simplified to (/ (- 1 k) 2)
1554048213.531 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))
1554048213.531 * * * * [progress]: [ 32 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)) (sqrt k)))>
1554048213.531 * [simplify]: Simplifying (/ 1 2)
1554048213.531 * * [simplify]: iters left: 2 (3 enodes)
1554048213.533 * * [simplify]: iters left: 1 (12 enodes)
1554048213.537 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.538 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048213.538 * [simplify]: Simplified to 1/2
1554048213.538 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k)))
1554048213.538 * * * * [progress]: [ 33 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))>
1554048213.538 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
1554048213.538 * * [simplify]: iters left: 5 (7 enodes)
1554048213.544 * * [simplify]: iters left: 4 (32 enodes)
1554048213.559 * * [simplify]: iters left: 3 (57 enodes)
1554048213.572 * * [simplify]: iters left: 2 (88 enodes)
1554048213.588 * * [simplify]: iters left: 1 (156 enodes)
1554048213.648 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.648 * * [simplify]: Extracting #1: cost 13 inf + 0
1554048213.649 * * [simplify]: Extracting #2: cost 49 inf + 2
1554048213.649 * * [simplify]: Extracting #3: cost 80 inf + 6
1554048213.650 * * [simplify]: Extracting #4: cost 58 inf + 1840
1554048213.653 * * [simplify]: Extracting #5: cost 22 inf + 9206
1554048213.659 * * [simplify]: Extracting #6: cost 1 inf + 20886
1554048213.665 * * [simplify]: Extracting #7: cost 0 inf + 21301
1554048213.671 * * [simplify]: Extracting #8: cost 0 inf + 21130
1554048213.679 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
1554048213.679 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))
1554048213.680 * * * * [progress]: [ 34 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
1554048213.680 * * * * [progress]: [ 35 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1554048213.680 * * * * [progress]: [ 36 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1554048213.680 * * * * [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)))>
1554048213.680 * * * * [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)))>
1554048213.680 * * * * [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)))>
1554048213.680 * * * * [progress]: [ 40 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))>
1554048213.680 * * * * [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)))>
1554048213.680 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1554048213.680 * * * * [progress]: [ 43 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554048213.680 * * * * [progress]: [ 44 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554048213.680 * * * * [progress]: [ 45 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
1554048213.681 * [simplify]: Simplifying (* n (* 2 PI))
1554048213.681 * * [simplify]: iters left: 4 (5 enodes)
1554048213.684 * * [simplify]: iters left: 3 (19 enodes)
1554048213.690 * * [simplify]: iters left: 2 (27 enodes)
1554048213.698 * * [simplify]: iters left: 1 (32 enodes)
1554048213.707 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.707 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048213.707 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048213.707 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048213.708 * [simplify]: Simplified to (* (* PI 2) n)
1554048213.708 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))
1554048213.708 * * * * [progress]: [ 46 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
1554048213.708 * [simplify]: Simplifying (* n (* 2 PI))
1554048213.708 * * [simplify]: iters left: 4 (5 enodes)
1554048213.711 * * [simplify]: iters left: 3 (19 enodes)
1554048213.717 * * [simplify]: iters left: 2 (27 enodes)
1554048213.721 * * [simplify]: iters left: 1 (32 enodes)
1554048213.725 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.725 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048213.725 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048213.726 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048213.726 * [simplify]: Simplified to (* (* PI 2) n)
1554048213.726 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))
1554048213.726 * * * * [progress]: [ 47 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
1554048213.726 * * * * [progress]: [ 48 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554048213.726 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
1554048213.726 * * [simplify]: iters left: 5 (8 enodes)
1554048213.728 * * [simplify]: iters left: 4 (28 enodes)
1554048213.733 * * [simplify]: iters left: 3 (36 enodes)
1554048213.738 * * [simplify]: iters left: 2 (42 enodes)
1554048213.744 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.744 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048213.744 * * [simplify]: Extracting #2: cost 17 inf + 0
1554048213.744 * * [simplify]: Extracting #3: cost 12 inf + 145
1554048213.744 * * [simplify]: Extracting #4: cost 5 inf + 1197
1554048213.744 * * [simplify]: Extracting #5: cost 1 inf + 1925
1554048213.744 * * [simplify]: Extracting #6: cost 0 inf + 2107
1554048213.745 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
1554048213.745 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))
1554048213.745 * * * * [progress]: [ 49 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554048213.745 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
1554048213.745 * * [simplify]: iters left: 5 (7 enodes)
1554048213.747 * * [simplify]: iters left: 4 (26 enodes)
1554048213.754 * * [simplify]: iters left: 3 (35 enodes)
1554048213.765 * * [simplify]: iters left: 2 (44 enodes)
1554048213.776 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048213.776 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048213.776 * * [simplify]: Extracting #2: cost 18 inf + 0
1554048213.776 * * [simplify]: Extracting #3: cost 15 inf + 74
1554048213.777 * * [simplify]: Extracting #4: cost 8 inf + 554
1554048213.777 * * [simplify]: Extracting #5: cost 0 inf + 1911
1554048213.778 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
1554048213.778 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))
1554048213.778 * * * * [progress]: [ 50 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554048213.778 * * * * [progress]: [ 51 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554048213.778 * * * * [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)))>
1554048213.778 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
1554048213.778 * * [simplify]: iters left: 6 (11 enodes)
1554048213.786 * * [simplify]: iters left: 5 (48 enodes)
1554048213.808 * * [simplify]: iters left: 4 (121 enodes)
1554048213.866 * * [simplify]: iters left: 3 (348 enodes)
1554048214.093 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048214.093 * * [simplify]: Extracting #1: cost 67 inf + 0
1554048214.095 * * [simplify]: Extracting #2: cost 165 inf + 786
1554048214.100 * * [simplify]: Extracting #3: cost 85 inf + 10177
1554048214.111 * * [simplify]: Extracting #4: cost 9 inf + 26399
1554048214.124 * * [simplify]: Extracting #5: cost 0 inf + 28546
1554048214.134 * * [simplify]: Extracting #6: cost 0 inf + 28506
1554048214.141 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
1554048214.141 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k)))
1554048214.141 * * * * [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)))>
1554048214.141 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
1554048214.141 * * [simplify]: iters left: 6 (9 enodes)
1554048214.144 * * [simplify]: iters left: 5 (45 enodes)
1554048214.153 * * [simplify]: iters left: 4 (117 enodes)
1554048214.203 * * [simplify]: iters left: 3 (374 enodes)
1554048214.467 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048214.467 * * [simplify]: Extracting #1: cost 77 inf + 0
1554048214.468 * * [simplify]: Extracting #2: cost 184 inf + 984
1554048214.472 * * [simplify]: Extracting #3: cost 106 inf + 11690
1554048214.480 * * [simplify]: Extracting #4: cost 6 inf + 30376
1554048214.491 * * [simplify]: Extracting #5: cost 0 inf + 31644
1554048214.501 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
1554048214.501 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k)))
1554048214.501 * * * * [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)))>
1554048214.501 * * * * [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)))>
1554048214.501 * * * * [progress]: [ 56 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554048214.501 * * * * [progress]: [ 57 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
1554048214.501 * * * * [progress]: [ 58 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))>
1554048214.501 * * * * [progress]: [ 59 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
1554048214.501 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
1554048214.501 * * [simplify]: iters left: 3 (3 enodes)
1554048214.502 * * [simplify]: iters left: 2 (9 enodes)
1554048214.503 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048214.503 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048214.503 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048214.503 * * [simplify]: Extracting #3: cost 4 inf + 1
1554048214.503 * * [simplify]: Extracting #4: cost 0 inf + 405
1554048214.503 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
1554048214.503 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))
1554048214.503 * * * * [progress]: [ 60 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
1554048214.504 * [simplify]: Simplifying (sqrt n)
1554048214.504 * * [simplify]: iters left: 1 (2 enodes)
1554048214.504 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048214.504 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048214.504 * * [simplify]: Extracting #2: cost 2 inf + 1
1554048214.504 * * [simplify]: Extracting #3: cost 0 inf + 83
1554048214.504 * [simplify]: Simplified to (sqrt n)
1554048214.504 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))
1554048214.504 * * * * [progress]: [ 61 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
1554048214.504 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
1554048214.504 * * * * [progress]: [ 63 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))>
1554048214.504 * * * * [progress]: [ 64 / 133 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
1554048214.504 * * * * [progress]: [ 65 / 133 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
1554048214.505 * * * * [progress]: [ 66 / 133 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 1))>
1554048214.505 * * * * [progress]: [ 67 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
1554048214.505 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))
1554048214.505 * * [simplify]: iters left: 6 (16 enodes)
1554048214.509 * * [simplify]: iters left: 5 (66 enodes)
1554048214.520 * * [simplify]: iters left: 4 (113 enodes)
1554048214.554 * * [simplify]: iters left: 3 (306 enodes)
1554048214.651 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048214.651 * * [simplify]: Extracting #1: cost 33 inf + 0
1554048214.651 * * [simplify]: Extracting #2: cost 89 inf + 0
1554048214.651 * * [simplify]: Extracting #3: cost 132 inf + 603
1554048214.653 * * [simplify]: Extracting #4: cost 115 inf + 7823
1554048214.660 * * [simplify]: Extracting #5: cost 21 inf + 36693
1554048214.682 * * [simplify]: Extracting #6: cost 0 inf + 43786
1554048214.701 * * [simplify]: Extracting #7: cost 0 inf + 43785
1554048214.720 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k)))
1554048214.720 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k)))))
1554048214.720 * * * * [progress]: [ 68 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
1554048214.720 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
1554048214.721 * * [simplify]: iters left: 6 (15 enodes)
1554048214.729 * * [simplify]: iters left: 5 (64 enodes)
1554048214.751 * * [simplify]: iters left: 4 (106 enodes)
1554048214.790 * * [simplify]: iters left: 3 (247 enodes)
1554048214.871 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048214.872 * * [simplify]: Extracting #1: cost 29 inf + 0
1554048214.872 * * [simplify]: Extracting #2: cost 82 inf + 0
1554048214.872 * * [simplify]: Extracting #3: cost 122 inf + 147
1554048214.873 * * [simplify]: Extracting #4: cost 128 inf + 2275
1554048214.877 * * [simplify]: Extracting #5: cost 42 inf + 21718
1554048214.888 * * [simplify]: Extracting #6: cost 4 inf + 33778
1554048214.898 * * [simplify]: Extracting #7: cost 0 inf + 35144
1554048214.905 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))
1554048214.905 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))))
1554048214.906 * * * * [progress]: [ 69 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
1554048214.906 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
1554048214.906 * * [simplify]: iters left: 6 (14 enodes)
1554048214.910 * * [simplify]: iters left: 5 (63 enodes)
1554048214.921 * * [simplify]: iters left: 4 (113 enodes)
1554048214.957 * * [simplify]: iters left: 3 (229 enodes)
1554048215.025 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048215.026 * * [simplify]: Extracting #1: cost 23 inf + 0
1554048215.026 * * [simplify]: Extracting #2: cost 83 inf + 0
1554048215.026 * * [simplify]: Extracting #3: cost 120 inf + 284
1554048215.027 * * [simplify]: Extracting #4: cost 111 inf + 4879
1554048215.034 * * [simplify]: Extracting #5: cost 26 inf + 24636
1554048215.044 * * [simplify]: Extracting #6: cost 0 inf + 31546
1554048215.051 * * [simplify]: Extracting #7: cost 0 inf + 31046
1554048215.060 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554048215.060 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554048215.060 * * * * [progress]: [ 70 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
1554048215.060 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
1554048215.060 * * [simplify]: iters left: 6 (14 enodes)
1554048215.064 * * [simplify]: iters left: 5 (63 enodes)
1554048215.081 * * [simplify]: iters left: 4 (113 enodes)
1554048215.112 * * [simplify]: iters left: 3 (229 enodes)
1554048215.169 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048215.169 * * [simplify]: Extracting #1: cost 23 inf + 0
1554048215.169 * * [simplify]: Extracting #2: cost 83 inf + 0
1554048215.170 * * [simplify]: Extracting #3: cost 120 inf + 284
1554048215.171 * * [simplify]: Extracting #4: cost 111 inf + 4879
1554048215.175 * * [simplify]: Extracting #5: cost 26 inf + 24636
1554048215.182 * * [simplify]: Extracting #6: cost 0 inf + 31546
1554048215.189 * * [simplify]: Extracting #7: cost 0 inf + 31046
1554048215.196 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554048215.196 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554048215.196 * * * * [progress]: [ 71 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))))>
1554048215.196 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))
1554048215.196 * * [simplify]: iters left: 6 (14 enodes)
1554048215.200 * * [simplify]: iters left: 5 (61 enodes)
1554048215.213 * * [simplify]: iters left: 4 (112 enodes)
1554048215.251 * * [simplify]: iters left: 3 (219 enodes)
1554048215.344 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048215.344 * * [simplify]: Extracting #1: cost 24 inf + 0
1554048215.344 * * [simplify]: Extracting #2: cost 109 inf + 0
1554048215.345 * * [simplify]: Extracting #3: cost 171 inf + 75
1554048215.347 * * [simplify]: Extracting #4: cost 167 inf + 904
1554048215.355 * * [simplify]: Extracting #5: cost 91 inf + 14562
1554048215.367 * * [simplify]: Extracting #6: cost 10 inf + 36286
1554048215.380 * * [simplify]: Extracting #7: cost 0 inf + 40306
1554048215.394 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))
1554048215.394 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))))
1554048215.394 * * * * [progress]: [ 72 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
1554048215.394 * * * * [progress]: [ 73 / 133 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
1554048215.394 * * * * [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)))))>
1554048215.395 * [simplify]: Simplifying (/ (* (* (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)))
1554048215.395 * * [simplify]: iters left: 6 (16 enodes)
1554048215.404 * * [simplify]: iters left: 5 (72 enodes)
1554048215.430 * * [simplify]: iters left: 4 (165 enodes)
1554048215.514 * * [simplify]: iters left: 3 (474 enodes)
1554048215.844 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048215.845 * * [simplify]: Extracting #1: cost 172 inf + 0
1554048215.848 * * [simplify]: Extracting #2: cost 449 inf + 1
1554048215.851 * * [simplify]: Extracting #3: cost 500 inf + 248
1554048215.856 * * [simplify]: Extracting #4: cost 485 inf + 2081
1554048215.871 * * [simplify]: Extracting #5: cost 365 inf + 63723
1554048215.935 * * [simplify]: Extracting #6: cost 66 inf + 281431
1554048216.027 * * [simplify]: Extracting #7: cost 0 inf + 324121
1554048216.124 * * [simplify]: Extracting #8: cost 0 inf + 321869
1554048216.197 * [simplify]: Simplified to (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))
1554048216.197 * [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))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))))
1554048216.197 * * * * [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)))))>
1554048216.197 * * * * [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)))))>
1554048216.197 * * * * [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)))))>
1554048216.197 * * * * [progress]: [ 78 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k))))>
1554048216.197 * * * * [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)))))>
1554048216.197 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048216.197 * * [simplify]: iters left: 6 (11 enodes)
1554048216.201 * * [simplify]: iters left: 5 (46 enodes)
1554048216.211 * * [simplify]: iters left: 4 (79 enodes)
1554048216.235 * * [simplify]: iters left: 3 (135 enodes)
1554048216.279 * * [simplify]: iters left: 2 (270 enodes)
1554048216.341 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048216.341 * * [simplify]: Extracting #1: cost 56 inf + 0
1554048216.342 * * [simplify]: Extracting #2: cost 151 inf + 0
1554048216.342 * * [simplify]: Extracting #3: cost 211 inf + 3
1554048216.344 * * [simplify]: Extracting #4: cost 182 inf + 8248
1554048216.348 * * [simplify]: Extracting #5: cost 108 inf + 32321
1554048216.357 * * [simplify]: Extracting #6: cost 40 inf + 73343
1554048216.379 * * [simplify]: Extracting #7: cost 0 inf + 103841
1554048216.410 * * [simplify]: Extracting #8: cost 0 inf + 103639
1554048216.424 * * [simplify]: Extracting #9: cost 0 inf + 103517
1554048216.437 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048216.437 * [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)))))
1554048216.437 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
1554048216.438 * * [simplify]: iters left: 6 (11 enodes)
1554048216.441 * * [simplify]: iters left: 5 (45 enodes)
1554048216.448 * * [simplify]: iters left: 4 (68 enodes)
1554048216.470 * * [simplify]: iters left: 3 (110 enodes)
1554048216.510 * * [simplify]: iters left: 2 (217 enodes)
1554048216.594 * * [simplify]: iters left: 1 (458 enodes)
1554048216.791 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048216.791 * * [simplify]: Extracting #1: cost 45 inf + 0
1554048216.792 * * [simplify]: Extracting #2: cost 132 inf + 0
1554048216.794 * * [simplify]: Extracting #3: cost 212 inf + 3
1554048216.796 * * [simplify]: Extracting #4: cost 213 inf + 801
1554048216.801 * * [simplify]: Extracting #5: cost 140 inf + 15314
1554048216.826 * * [simplify]: Extracting #6: cost 26 inf + 94405
1554048216.849 * * [simplify]: Extracting #7: cost 0 inf + 113797
1554048216.877 * * [simplify]: Extracting #8: cost 0 inf + 112990
1554048216.894 * * [simplify]: Extracting #9: cost 0 inf + 111447
1554048216.918 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k)))
1554048216.919 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k)))))
1554048216.919 * * * * [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)))))>
1554048216.919 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k))))
1554048216.919 * * [simplify]: iters left: 6 (11 enodes)
1554048216.922 * * [simplify]: iters left: 5 (45 enodes)
1554048216.930 * * [simplify]: iters left: 4 (72 enodes)
1554048216.945 * * [simplify]: iters left: 3 (113 enodes)
1554048216.972 * * [simplify]: iters left: 2 (202 enodes)
1554048217.022 * * [simplify]: iters left: 1 (423 enodes)
1554048217.233 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048217.233 * * [simplify]: Extracting #1: cost 45 inf + 0
1554048217.234 * * [simplify]: Extracting #2: cost 135 inf + 0
1554048217.235 * * [simplify]: Extracting #3: cost 200 inf + 4
1554048217.237 * * [simplify]: Extracting #4: cost 178 inf + 4357
1554048217.246 * * [simplify]: Extracting #5: cost 104 inf + 31155
1554048217.255 * * [simplify]: Extracting #6: cost 30 inf + 80538
1554048217.268 * * [simplify]: Extracting #7: cost 0 inf + 106837
1554048217.281 * * [simplify]: Extracting #8: cost 0 inf + 104726
1554048217.294 * * [simplify]: Extracting #9: cost 0 inf + 104144
1554048217.307 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k)))
1554048217.307 * [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)))))
1554048217.308 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))
1554048217.308 * * [simplify]: iters left: 6 (11 enodes)
1554048217.311 * * [simplify]: iters left: 5 (45 enodes)
1554048217.318 * * [simplify]: iters left: 4 (68 enodes)
1554048217.331 * * [simplify]: iters left: 3 (110 enodes)
1554048217.352 * * [simplify]: iters left: 2 (217 enodes)
1554048217.412 * * [simplify]: iters left: 1 (458 enodes)
1554048217.578 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048217.579 * * [simplify]: Extracting #1: cost 45 inf + 0
1554048217.579 * * [simplify]: Extracting #2: cost 132 inf + 0
1554048217.580 * * [simplify]: Extracting #3: cost 212 inf + 3
1554048217.581 * * [simplify]: Extracting #4: cost 213 inf + 841
1554048217.584 * * [simplify]: Extracting #5: cost 140 inf + 15394
1554048217.599 * * [simplify]: Extracting #6: cost 26 inf + 94485
1554048217.631 * * [simplify]: Extracting #7: cost 0 inf + 113877
1554048217.664 * * [simplify]: Extracting #8: cost 0 inf + 113070
1554048217.695 * * [simplify]: Extracting #9: cost 0 inf + 111527
1554048217.712 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k)))
1554048217.712 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k)))))
1554048217.712 * * * * [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)))))>
1554048217.712 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554048217.713 * * [simplify]: iters left: 6 (10 enodes)
1554048217.716 * * [simplify]: iters left: 5 (41 enodes)
1554048217.729 * * [simplify]: iters left: 4 (68 enodes)
1554048217.752 * * [simplify]: iters left: 3 (109 enodes)
1554048217.789 * * [simplify]: iters left: 2 (194 enodes)
1554048217.844 * * [simplify]: iters left: 1 (414 enodes)
1554048218.031 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048218.031 * * [simplify]: Extracting #1: cost 45 inf + 0
1554048218.031 * * [simplify]: Extracting #2: cost 141 inf + 0
1554048218.032 * * [simplify]: Extracting #3: cost 206 inf + 4
1554048218.033 * * [simplify]: Extracting #4: cost 180 inf + 9439
1554048218.039 * * [simplify]: Extracting #5: cost 108 inf + 27286
1554048218.059 * * [simplify]: Extracting #6: cost 36 inf + 72454
1554048218.091 * * [simplify]: Extracting #7: cost 0 inf + 101831
1554048218.112 * * [simplify]: Extracting #8: cost 0 inf + 101671
1554048218.133 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554048218.133 * [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)))))
1554048218.133 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554048218.133 * * [simplify]: iters left: 6 (11 enodes)
1554048218.137 * * [simplify]: iters left: 5 (45 enodes)
1554048218.144 * * [simplify]: iters left: 4 (68 enodes)
1554048218.158 * * [simplify]: iters left: 3 (110 enodes)
1554048218.186 * * [simplify]: iters left: 2 (217 enodes)
1554048218.261 * * [simplify]: iters left: 1 (458 enodes)
1554048218.481 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048218.481 * * [simplify]: Extracting #1: cost 45 inf + 0
1554048218.482 * * [simplify]: Extracting #2: cost 132 inf + 0
1554048218.484 * * [simplify]: Extracting #3: cost 212 inf + 3
1554048218.485 * * [simplify]: Extracting #4: cost 213 inf + 761
1554048218.489 * * [simplify]: Extracting #5: cost 140 inf + 15034
1554048218.501 * * [simplify]: Extracting #6: cost 26 inf + 92245
1554048218.517 * * [simplify]: Extracting #7: cost 0 inf + 111037
1554048218.549 * * [simplify]: Extracting #8: cost 0 inf + 110230
1554048218.565 * * [simplify]: Extracting #9: cost 0 inf + 108687
1554048218.592 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))
1554048218.592 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))))
1554048218.592 * * * * [progress]: [ 82 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
1554048218.592 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1))
1554048218.592 * * [simplify]: iters left: 6 (9 enodes)
1554048218.599 * * [simplify]: iters left: 5 (38 enodes)
1554048218.611 * * [simplify]: iters left: 4 (63 enodes)
1554048218.621 * * [simplify]: iters left: 3 (100 enodes)
1554048218.642 * * [simplify]: iters left: 2 (175 enodes)
1554048218.703 * * [simplify]: iters left: 1 (360 enodes)
1554048218.859 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048218.859 * * [simplify]: Extracting #1: cost 52 inf + 0
1554048218.860 * * [simplify]: Extracting #2: cost 150 inf + 3
1554048218.862 * * [simplify]: Extracting #3: cost 190 inf + 8
1554048218.864 * * [simplify]: Extracting #4: cost 161 inf + 3039
1554048218.869 * * [simplify]: Extracting #5: cost 116 inf + 9850
1554048218.883 * * [simplify]: Extracting #6: cost 35 inf + 60283
1554048218.906 * * [simplify]: Extracting #7: cost 2 inf + 86206
1554048218.935 * * [simplify]: Extracting #8: cost 0 inf + 87719
1554048218.958 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2)))
1554048218.958 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))
1554048218.959 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
1554048218.959 * * [simplify]: iters left: 6 (10 enodes)
1554048218.965 * * [simplify]: iters left: 5 (42 enodes)
1554048218.979 * * [simplify]: iters left: 4 (65 enodes)
1554048219.001 * * [simplify]: iters left: 3 (104 enodes)
1554048219.040 * * [simplify]: iters left: 2 (206 enodes)
1554048219.106 * * [simplify]: iters left: 1 (435 enodes)
1554048219.296 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048219.297 * * [simplify]: Extracting #1: cost 47 inf + 0
1554048219.297 * * [simplify]: Extracting #2: cost 137 inf + 0
1554048219.299 * * [simplify]: Extracting #3: cost 210 inf + 45
1554048219.301 * * [simplify]: Extracting #4: cost 204 inf + 1134
1554048219.305 * * [simplify]: Extracting #5: cost 148 inf + 9351
1554048219.319 * * [simplify]: Extracting #6: cost 67 inf + 53607
1554048219.348 * * [simplify]: Extracting #7: cost 1 inf + 112920
1554048219.379 * * [simplify]: Extracting #8: cost 0 inf + 111430
1554048219.414 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
1554048219.415 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
1554048219.415 * * * * [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)))))>
1554048219.415 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554048219.415 * * [simplify]: iters left: 6 (10 enodes)
1554048219.421 * * [simplify]: iters left: 5 (41 enodes)
1554048219.436 * * [simplify]: iters left: 4 (68 enodes)
1554048219.459 * * [simplify]: iters left: 3 (109 enodes)
1554048219.496 * * [simplify]: iters left: 2 (194 enodes)
1554048219.561 * * [simplify]: iters left: 1 (414 enodes)
1554048219.762 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048219.762 * * [simplify]: Extracting #1: cost 45 inf + 0
1554048219.763 * * [simplify]: Extracting #2: cost 141 inf + 0
1554048219.764 * * [simplify]: Extracting #3: cost 206 inf + 4
1554048219.766 * * [simplify]: Extracting #4: cost 180 inf + 9439
1554048219.776 * * [simplify]: Extracting #5: cost 108 inf + 27286
1554048219.799 * * [simplify]: Extracting #6: cost 36 inf + 72454
1554048219.831 * * [simplify]: Extracting #7: cost 0 inf + 101831
1554048219.862 * * [simplify]: Extracting #8: cost 0 inf + 101671
1554048219.893 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554048219.893 * [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)))))
1554048219.893 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554048219.893 * * [simplify]: iters left: 6 (11 enodes)
1554048219.897 * * [simplify]: iters left: 5 (45 enodes)
1554048219.904 * * [simplify]: iters left: 4 (68 enodes)
1554048219.915 * * [simplify]: iters left: 3 (110 enodes)
1554048219.946 * * [simplify]: iters left: 2 (217 enodes)
1554048219.998 * * [simplify]: iters left: 1 (458 enodes)
1554048220.166 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048220.167 * * [simplify]: Extracting #1: cost 45 inf + 0
1554048220.168 * * [simplify]: Extracting #2: cost 132 inf + 0
1554048220.169 * * [simplify]: Extracting #3: cost 212 inf + 3
1554048220.171 * * [simplify]: Extracting #4: cost 213 inf + 761
1554048220.177 * * [simplify]: Extracting #5: cost 140 inf + 15034
1554048220.197 * * [simplify]: Extracting #6: cost 26 inf + 92245
1554048220.213 * * [simplify]: Extracting #7: cost 0 inf + 111037
1554048220.234 * * [simplify]: Extracting #8: cost 0 inf + 110230
1554048220.267 * * [simplify]: Extracting #9: cost 0 inf + 108687
1554048220.300 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))
1554048220.300 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))))
1554048220.300 * * * * [progress]: [ 84 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
1554048220.301 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1)
1554048220.301 * * [simplify]: iters left: 6 (8 enodes)
1554048220.306 * * [simplify]: iters left: 5 (33 enodes)
1554048220.317 * * [simplify]: iters left: 4 (56 enodes)
1554048220.336 * * [simplify]: iters left: 3 (98 enodes)
1554048220.373 * * [simplify]: iters left: 2 (203 enodes)
1554048220.427 * * [simplify]: iters left: 1 (443 enodes)
1554048220.659 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048220.659 * * [simplify]: Extracting #1: cost 47 inf + 0
1554048220.660 * * [simplify]: Extracting #2: cost 155 inf + 3
1554048220.662 * * [simplify]: Extracting #3: cost 207 inf + 8
1554048220.664 * * [simplify]: Extracting #4: cost 189 inf + 2296
1554048220.670 * * [simplify]: Extracting #5: cost 112 inf + 20090
1554048220.694 * * [simplify]: Extracting #6: cost 19 inf + 81064
1554048220.727 * * [simplify]: Extracting #7: cost 0 inf + 94833
1554048220.765 * * [simplify]: Extracting #8: cost 0 inf + 93433
1554048220.800 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2)))
1554048220.800 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))
1554048220.800 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
1554048220.800 * * [simplify]: iters left: 6 (10 enodes)
1554048220.807 * * [simplify]: iters left: 5 (42 enodes)
1554048220.821 * * [simplify]: iters left: 4 (65 enodes)
1554048220.832 * * [simplify]: iters left: 3 (104 enodes)
1554048220.869 * * [simplify]: iters left: 2 (206 enodes)
1554048220.927 * * [simplify]: iters left: 1 (435 enodes)
1554048221.147 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048221.147 * * [simplify]: Extracting #1: cost 47 inf + 0
1554048221.148 * * [simplify]: Extracting #2: cost 137 inf + 0
1554048221.150 * * [simplify]: Extracting #3: cost 210 inf + 45
1554048221.152 * * [simplify]: Extracting #4: cost 204 inf + 1134
1554048221.156 * * [simplify]: Extracting #5: cost 148 inf + 9351
1554048221.171 * * [simplify]: Extracting #6: cost 67 inf + 53607
1554048221.196 * * [simplify]: Extracting #7: cost 1 inf + 112920
1554048221.212 * * [simplify]: Extracting #8: cost 0 inf + 111430
1554048221.240 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
1554048221.240 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
1554048221.240 * * * * [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)))))>
1554048221.241 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048221.241 * * [simplify]: iters left: 6 (16 enodes)
1554048221.250 * * [simplify]: iters left: 5 (69 enodes)
1554048221.274 * * [simplify]: iters left: 4 (117 enodes)
1554048221.299 * * [simplify]: iters left: 3 (164 enodes)
1554048221.332 * * [simplify]: iters left: 2 (236 enodes)
1554048221.382 * * [simplify]: iters left: 1 (387 enodes)
1554048221.516 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048221.517 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048221.517 * * [simplify]: Extracting #2: cost 22 inf + 0
1554048221.517 * * [simplify]: Extracting #3: cost 48 inf + 0
1554048221.518 * * [simplify]: Extracting #4: cost 120 inf + 2
1554048221.519 * * [simplify]: Extracting #5: cost 150 inf + 787
1554048221.522 * * [simplify]: Extracting #6: cost 110 inf + 5219
1554048221.528 * * [simplify]: Extracting #7: cost 48 inf + 27777
1554048221.536 * * [simplify]: Extracting #8: cost 12 inf + 58840
1554048221.547 * * [simplify]: Extracting #9: cost 0 inf + 68408
1554048221.558 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
1554048221.558 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
1554048221.558 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
1554048221.559 * * [simplify]: iters left: 6 (14 enodes)
1554048221.567 * * [simplify]: iters left: 5 (57 enodes)
1554048221.586 * * [simplify]: iters left: 4 (90 enodes)
1554048221.615 * * [simplify]: iters left: 3 (127 enodes)
1554048221.646 * * [simplify]: iters left: 2 (195 enodes)
1554048221.696 * * [simplify]: iters left: 1 (356 enodes)
1554048221.860 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048221.860 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048221.860 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048221.860 * * [simplify]: Extracting #3: cost 34 inf + 0
1554048221.861 * * [simplify]: Extracting #4: cost 107 inf + 164
1554048221.862 * * [simplify]: Extracting #5: cost 148 inf + 585
1554048221.865 * * [simplify]: Extracting #6: cost 109 inf + 5352
1554048221.873 * * [simplify]: Extracting #7: cost 45 inf + 27047
1554048221.893 * * [simplify]: Extracting #8: cost 6 inf + 58672
1554048221.915 * * [simplify]: Extracting #9: cost 0 inf + 62696
1554048221.931 * * [simplify]: Extracting #10: cost 0 inf + 62192
1554048221.942 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1554048221.942 * [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) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
1554048221.942 * * * * [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)))))>
1554048221.942 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k))))
1554048221.942 * * [simplify]: iters left: 6 (16 enodes)
1554048221.947 * * [simplify]: iters left: 5 (66 enodes)
1554048221.960 * * [simplify]: iters left: 4 (103 enodes)
1554048221.976 * * [simplify]: iters left: 3 (142 enodes)
1554048221.999 * * [simplify]: iters left: 2 (210 enodes)
1554048222.061 * * [simplify]: iters left: 1 (370 enodes)
1554048222.194 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048222.194 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048222.194 * * [simplify]: Extracting #2: cost 15 inf + 0
1554048222.194 * * [simplify]: Extracting #3: cost 43 inf + 0
1554048222.195 * * [simplify]: Extracting #4: cost 113 inf + 204
1554048222.195 * * [simplify]: Extracting #5: cost 145 inf + 907
1554048222.197 * * [simplify]: Extracting #6: cost 114 inf + 4465
1554048222.200 * * [simplify]: Extracting #7: cost 52 inf + 23940
1554048222.208 * * [simplify]: Extracting #8: cost 13 inf + 52482
1554048222.223 * * [simplify]: Extracting #9: cost 0 inf + 63276
1554048222.245 * * [simplify]: Extracting #10: cost 0 inf + 62983
1554048222.264 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k)))
1554048222.265 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))
1554048222.265 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
1554048222.265 * * [simplify]: iters left: 6 (14 enodes)
1554048222.273 * * [simplify]: iters left: 5 (57 enodes)
1554048222.293 * * [simplify]: iters left: 4 (90 enodes)
1554048222.321 * * [simplify]: iters left: 3 (127 enodes)
1554048222.363 * * [simplify]: iters left: 2 (195 enodes)
1554048222.428 * * [simplify]: iters left: 1 (356 enodes)
1554048222.571 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048222.571 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048222.571 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048222.571 * * [simplify]: Extracting #3: cost 34 inf + 0
1554048222.571 * * [simplify]: Extracting #4: cost 107 inf + 204
1554048222.572 * * [simplify]: Extracting #5: cost 148 inf + 665
1554048222.573 * * [simplify]: Extracting #6: cost 109 inf + 5432
1554048222.577 * * [simplify]: Extracting #7: cost 45 inf + 27127
1554048222.597 * * [simplify]: Extracting #8: cost 6 inf + 58752
1554048222.618 * * [simplify]: Extracting #9: cost 0 inf + 62776
1554048222.640 * * [simplify]: Extracting #10: cost 0 inf + 62272
1554048222.661 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
1554048222.662 * [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) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))
1554048222.662 * * * * [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)))))>
1554048222.662 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
1554048222.662 * * [simplify]: iters left: 6 (15 enodes)
1554048222.668 * * [simplify]: iters left: 5 (62 enodes)
1554048222.679 * * [simplify]: iters left: 4 (99 enodes)
1554048222.696 * * [simplify]: iters left: 3 (142 enodes)
1554048222.745 * * [simplify]: iters left: 2 (215 enodes)
1554048222.807 * * [simplify]: iters left: 1 (364 enodes)
1554048222.984 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048222.984 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048222.984 * * [simplify]: Extracting #2: cost 14 inf + 0
1554048222.984 * * [simplify]: Extracting #3: cost 41 inf + 0
1554048222.985 * * [simplify]: Extracting #4: cost 107 inf + 165
1554048222.986 * * [simplify]: Extracting #5: cost 134 inf + 713
1554048222.990 * * [simplify]: Extracting #6: cost 89 inf + 7533
1554048223.001 * * [simplify]: Extracting #7: cost 28 inf + 38261
1554048223.018 * * [simplify]: Extracting #8: cost 0 inf + 60484
1554048223.035 * * [simplify]: Extracting #9: cost 0 inf + 60062
1554048223.053 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1554048223.053 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
1554048223.054 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554048223.054 * * [simplify]: iters left: 6 (14 enodes)
1554048223.062 * * [simplify]: iters left: 5 (57 enodes)
1554048223.082 * * [simplify]: iters left: 4 (90 enodes)
1554048223.109 * * [simplify]: iters left: 3 (127 enodes)
1554048223.133 * * [simplify]: iters left: 2 (195 enodes)
1554048223.178 * * [simplify]: iters left: 1 (356 enodes)
1554048223.363 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048223.363 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048223.363 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048223.364 * * [simplify]: Extracting #3: cost 34 inf + 0
1554048223.364 * * [simplify]: Extracting #4: cost 107 inf + 124
1554048223.365 * * [simplify]: Extracting #5: cost 148 inf + 505
1554048223.368 * * [simplify]: Extracting #6: cost 109 inf + 5272
1554048223.376 * * [simplify]: Extracting #7: cost 45 inf + 26887
1554048223.396 * * [simplify]: Extracting #8: cost 6 inf + 58512
1554048223.417 * * [simplify]: Extracting #9: cost 0 inf + 62536
1554048223.439 * * [simplify]: Extracting #10: cost 0 inf + 62032
1554048223.451 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554048223.451 * [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) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1554048223.451 * * * * [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))))>
1554048223.451 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1))
1554048223.451 * * [simplify]: iters left: 6 (14 enodes)
1554048223.456 * * [simplify]: iters left: 5 (59 enodes)
1554048223.469 * * [simplify]: iters left: 4 (96 enodes)
1554048223.485 * * [simplify]: iters left: 3 (136 enodes)
1554048223.524 * * [simplify]: iters left: 2 (205 enodes)
1554048223.588 * * [simplify]: iters left: 1 (370 enodes)
1554048223.682 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048223.682 * * [simplify]: Extracting #1: cost 5 inf + 0
1554048223.682 * * [simplify]: Extracting #2: cost 7 inf + 1
1554048223.682 * * [simplify]: Extracting #3: cost 31 inf + 1
1554048223.683 * * [simplify]: Extracting #4: cost 103 inf + 2
1554048223.683 * * [simplify]: Extracting #5: cost 150 inf + 218
1554048223.684 * * [simplify]: Extracting #6: cost 149 inf + 478
1554048223.686 * * [simplify]: Extracting #7: cost 93 inf + 8914
1554048223.697 * * [simplify]: Extracting #8: cost 27 inf + 33526
1554048223.722 * * [simplify]: Extracting #9: cost 0 inf + 51357
1554048223.750 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
1554048223.750 * [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))))
1554048223.751 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
1554048223.751 * * [simplify]: iters left: 6 (13 enodes)
1554048223.761 * * [simplify]: iters left: 5 (54 enodes)
1554048223.780 * * [simplify]: iters left: 4 (87 enodes)
1554048223.807 * * [simplify]: iters left: 3 (128 enodes)
1554048223.848 * * [simplify]: iters left: 2 (197 enodes)
1554048223.921 * * [simplify]: iters left: 1 (354 enodes)
1554048224.034 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048224.034 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048224.034 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048224.034 * * [simplify]: Extracting #3: cost 28 inf + 83
1554048224.035 * * [simplify]: Extracting #4: cost 105 inf + 84
1554048224.036 * * [simplify]: Extracting #5: cost 139 inf + 384
1554048224.038 * * [simplify]: Extracting #6: cost 103 inf + 5239
1554048224.045 * * [simplify]: Extracting #7: cost 50 inf + 20824
1554048224.059 * * [simplify]: Extracting #8: cost 15 inf + 47877
1554048224.077 * * [simplify]: Extracting #9: cost 0 inf + 59693
1554048224.095 * * [simplify]: Extracting #10: cost 0 inf + 59363
1554048224.105 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
1554048224.105 * [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))))
1554048224.105 * * * * [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)))))>
1554048224.105 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
1554048224.105 * * [simplify]: iters left: 6 (15 enodes)
1554048224.110 * * [simplify]: iters left: 5 (62 enodes)
1554048224.120 * * [simplify]: iters left: 4 (99 enodes)
1554048224.136 * * [simplify]: iters left: 3 (142 enodes)
1554048224.177 * * [simplify]: iters left: 2 (215 enodes)
1554048224.256 * * [simplify]: iters left: 1 (364 enodes)
1554048224.405 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048224.405 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048224.405 * * [simplify]: Extracting #2: cost 14 inf + 0
1554048224.405 * * [simplify]: Extracting #3: cost 41 inf + 0
1554048224.406 * * [simplify]: Extracting #4: cost 107 inf + 165
1554048224.407 * * [simplify]: Extracting #5: cost 134 inf + 713
1554048224.411 * * [simplify]: Extracting #6: cost 89 inf + 7533
1554048224.423 * * [simplify]: Extracting #7: cost 28 inf + 38261
1554048224.443 * * [simplify]: Extracting #8: cost 0 inf + 60484
1554048224.453 * * [simplify]: Extracting #9: cost 0 inf + 60062
1554048224.462 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1554048224.462 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
1554048224.462 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554048224.463 * * [simplify]: iters left: 6 (14 enodes)
1554048224.467 * * [simplify]: iters left: 5 (57 enodes)
1554048224.477 * * [simplify]: iters left: 4 (90 enodes)
1554048224.506 * * [simplify]: iters left: 3 (127 enodes)
1554048224.539 * * [simplify]: iters left: 2 (195 enodes)
1554048224.592 * * [simplify]: iters left: 1 (356 enodes)
1554048224.783 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048224.783 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048224.783 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048224.783 * * [simplify]: Extracting #3: cost 34 inf + 0
1554048224.783 * * [simplify]: Extracting #4: cost 107 inf + 124
1554048224.784 * * [simplify]: Extracting #5: cost 148 inf + 505
1554048224.785 * * [simplify]: Extracting #6: cost 109 inf + 5272
1554048224.790 * * [simplify]: Extracting #7: cost 45 inf + 26887
1554048224.799 * * [simplify]: Extracting #8: cost 6 inf + 58512
1554048224.815 * * [simplify]: Extracting #9: cost 0 inf + 62536
1554048224.837 * * [simplify]: Extracting #10: cost 0 inf + 62032
1554048224.859 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554048224.859 * [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) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1554048224.860 * * * * [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))))>
1554048224.860 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1)
1554048224.860 * * [simplify]: iters left: 6 (13 enodes)
1554048224.868 * * [simplify]: iters left: 5 (54 enodes)
1554048224.887 * * [simplify]: iters left: 4 (95 enodes)
1554048224.906 * * [simplify]: iters left: 3 (137 enodes)
1554048224.937 * * [simplify]: iters left: 2 (206 enodes)
1554048224.991 * * [simplify]: iters left: 1 (362 enodes)
1554048225.128 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048225.129 * * [simplify]: Extracting #1: cost 5 inf + 0
1554048225.129 * * [simplify]: Extracting #2: cost 7 inf + 1
1554048225.129 * * [simplify]: Extracting #3: cost 32 inf + 1
1554048225.129 * * [simplify]: Extracting #4: cost 110 inf + 2
1554048225.131 * * [simplify]: Extracting #5: cost 158 inf + 176
1554048225.132 * * [simplify]: Extracting #6: cost 151 inf + 644
1554048225.137 * * [simplify]: Extracting #7: cost 91 inf + 10513
1554048225.150 * * [simplify]: Extracting #8: cost 37 inf + 29756
1554048225.166 * * [simplify]: Extracting #9: cost 0 inf + 59764
1554048225.177 * * [simplify]: Extracting #10: cost 0 inf + 58856
1554048225.193 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1554048225.193 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))
1554048225.193 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
1554048225.193 * * [simplify]: iters left: 6 (13 enodes)
1554048225.201 * * [simplify]: iters left: 5 (54 enodes)
1554048225.219 * * [simplify]: iters left: 4 (87 enodes)
1554048225.250 * * [simplify]: iters left: 3 (128 enodes)
1554048225.292 * * [simplify]: iters left: 2 (197 enodes)
1554048225.346 * * [simplify]: iters left: 1 (354 enodes)
1554048225.478 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048225.478 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048225.478 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048225.478 * * [simplify]: Extracting #3: cost 28 inf + 83
1554048225.479 * * [simplify]: Extracting #4: cost 105 inf + 84
1554048225.480 * * [simplify]: Extracting #5: cost 139 inf + 384
1554048225.483 * * [simplify]: Extracting #6: cost 103 inf + 5239
1554048225.489 * * [simplify]: Extracting #7: cost 50 inf + 20824
1554048225.498 * * [simplify]: Extracting #8: cost 15 inf + 47877
1554048225.507 * * [simplify]: Extracting #9: cost 0 inf + 59693
1554048225.516 * * [simplify]: Extracting #10: cost 0 inf + 59363
1554048225.530 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
1554048225.531 * [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))))
1554048225.531 * * * * [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)))))>
1554048225.531 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048225.531 * * [simplify]: iters left: 6 (15 enodes)
1554048225.539 * * [simplify]: iters left: 5 (62 enodes)
1554048225.552 * * [simplify]: iters left: 4 (98 enodes)
1554048225.568 * * [simplify]: iters left: 3 (134 enodes)
1554048225.596 * * [simplify]: iters left: 2 (202 enodes)
1554048225.651 * * [simplify]: iters left: 1 (362 enodes)
1554048225.759 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048225.759 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048225.759 * * [simplify]: Extracting #2: cost 13 inf + 0
1554048225.759 * * [simplify]: Extracting #3: cost 43 inf + 0
1554048225.759 * * [simplify]: Extracting #4: cost 120 inf + 285
1554048225.760 * * [simplify]: Extracting #5: cost 141 inf + 1984
1554048225.766 * * [simplify]: Extracting #6: cost 72 inf + 21416
1554048225.780 * * [simplify]: Extracting #7: cost 23 inf + 42391
1554048225.797 * * [simplify]: Extracting #8: cost 0 inf + 61728
1554048225.815 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048225.815 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
1554048225.818 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
1554048225.818 * * [simplify]: iters left: 6 (14 enodes)
1554048225.823 * * [simplify]: iters left: 5 (57 enodes)
1554048225.833 * * [simplify]: iters left: 4 (91 enodes)
1554048225.847 * * [simplify]: iters left: 3 (127 enodes)
1554048225.879 * * [simplify]: iters left: 2 (195 enodes)
1554048225.938 * * [simplify]: iters left: 1 (354 enodes)
1554048226.074 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048226.074 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048226.074 * * [simplify]: Extracting #2: cost 9 inf + 0
1554048226.074 * * [simplify]: Extracting #3: cost 36 inf + 0
1554048226.074 * * [simplify]: Extracting #4: cost 113 inf + 205
1554048226.075 * * [simplify]: Extracting #5: cost 131 inf + 2415
1554048226.083 * * [simplify]: Extracting #6: cost 45 inf + 33802
1554048226.099 * * [simplify]: Extracting #7: cost 2 inf + 54796
1554048226.117 * * [simplify]: Extracting #8: cost 0 inf + 53175
1554048226.139 * * [simplify]: Extracting #9: cost 0 inf + 52741
1554048226.155 * * [simplify]: Extracting #10: cost 0 inf + 52079
1554048226.169 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))
1554048226.169 * [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)))))
1554048226.170 * * * * [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)))))>
1554048226.170 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k))))
1554048226.170 * * [simplify]: iters left: 6 (15 enodes)
1554048226.174 * * [simplify]: iters left: 5 (61 enodes)
1554048226.191 * * [simplify]: iters left: 4 (95 enodes)
1554048226.221 * * [simplify]: iters left: 3 (131 enodes)
1554048226.266 * * [simplify]: iters left: 2 (199 enodes)
1554048226.316 * * [simplify]: iters left: 1 (362 enodes)
1554048226.472 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048226.472 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048226.472 * * [simplify]: Extracting #2: cost 10 inf + 0
1554048226.472 * * [simplify]: Extracting #3: cost 41 inf + 0
1554048226.472 * * [simplify]: Extracting #4: cost 124 inf + 325
1554048226.473 * * [simplify]: Extracting #5: cost 146 inf + 2066
1554048226.475 * * [simplify]: Extracting #6: cost 94 inf + 10304
1554048226.481 * * [simplify]: Extracting #7: cost 23 inf + 47402
1554048226.495 * * [simplify]: Extracting #8: cost 0 inf + 67276
1554048226.515 * * [simplify]: Extracting #9: cost 0 inf + 66421
1554048226.535 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
1554048226.536 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))
1554048226.536 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
1554048226.536 * * [simplify]: iters left: 6 (14 enodes)
1554048226.544 * * [simplify]: iters left: 5 (57 enodes)
1554048226.564 * * [simplify]: iters left: 4 (91 enodes)
1554048226.592 * * [simplify]: iters left: 3 (127 enodes)
1554048226.637 * * [simplify]: iters left: 2 (195 enodes)
1554048226.695 * * [simplify]: iters left: 1 (354 enodes)
1554048226.847 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048226.848 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048226.848 * * [simplify]: Extracting #2: cost 9 inf + 0
1554048226.848 * * [simplify]: Extracting #3: cost 36 inf + 0
1554048226.849 * * [simplify]: Extracting #4: cost 113 inf + 285
1554048226.850 * * [simplify]: Extracting #5: cost 131 inf + 2495
1554048226.857 * * [simplify]: Extracting #6: cost 45 inf + 33882
1554048226.868 * * [simplify]: Extracting #7: cost 2 inf + 54876
1554048226.882 * * [simplify]: Extracting #8: cost 0 inf + 53255
1554048226.897 * * [simplify]: Extracting #9: cost 0 inf + 52821
1554048226.918 * * [simplify]: Extracting #10: cost 0 inf + 52159
1554048226.935 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))
1554048226.935 * [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)))))
1554048226.935 * * * * [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)))))>
1554048226.935 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554048226.935 * * [simplify]: iters left: 6 (14 enodes)
1554048226.939 * * [simplify]: iters left: 5 (57 enodes)
1554048226.949 * * [simplify]: iters left: 4 (91 enodes)
1554048226.977 * * [simplify]: iters left: 3 (127 enodes)
1554048227.017 * * [simplify]: iters left: 2 (195 enodes)
1554048227.062 * * [simplify]: iters left: 1 (354 enodes)
1554048227.222 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048227.222 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048227.222 * * [simplify]: Extracting #2: cost 9 inf + 0
1554048227.222 * * [simplify]: Extracting #3: cost 36 inf + 0
1554048227.223 * * [simplify]: Extracting #4: cost 113 inf + 165
1554048227.223 * * [simplify]: Extracting #5: cost 131 inf + 2335
1554048227.228 * * [simplify]: Extracting #6: cost 45 inf + 33642
1554048227.240 * * [simplify]: Extracting #7: cost 2 inf + 54636
1554048227.256 * * [simplify]: Extracting #8: cost 0 inf + 53015
1554048227.271 * * [simplify]: Extracting #9: cost 0 inf + 52581
1554048227.298 * * [simplify]: Extracting #10: cost 0 inf + 51919
1554048227.327 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554048227.327 * [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)))))
1554048227.327 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554048227.327 * * [simplify]: iters left: 6 (14 enodes)
1554048227.335 * * [simplify]: iters left: 5 (57 enodes)
1554048227.354 * * [simplify]: iters left: 4 (91 enodes)
1554048227.383 * * [simplify]: iters left: 3 (127 enodes)
1554048227.413 * * [simplify]: iters left: 2 (195 enodes)
1554048227.466 * * [simplify]: iters left: 1 (354 enodes)
1554048227.600 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048227.600 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048227.600 * * [simplify]: Extracting #2: cost 9 inf + 0
1554048227.600 * * [simplify]: Extracting #3: cost 36 inf + 0
1554048227.601 * * [simplify]: Extracting #4: cost 113 inf + 165
1554048227.601 * * [simplify]: Extracting #5: cost 131 inf + 2335
1554048227.606 * * [simplify]: Extracting #6: cost 45 inf + 33642
1554048227.618 * * [simplify]: Extracting #7: cost 2 inf + 54636
1554048227.633 * * [simplify]: Extracting #8: cost 0 inf + 53015
1554048227.647 * * [simplify]: Extracting #9: cost 0 inf + 52581
1554048227.662 * * [simplify]: Extracting #10: cost 0 inf + 51919
1554048227.681 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554048227.682 * [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)))))
1554048227.682 * * * * [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))))>
1554048227.682 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1))
1554048227.682 * * [simplify]: iters left: 6 (13 enodes)
1554048227.690 * * [simplify]: iters left: 5 (54 enodes)
1554048227.706 * * [simplify]: iters left: 4 (88 enodes)
1554048227.738 * * [simplify]: iters left: 3 (127 enodes)
1554048227.777 * * [simplify]: iters left: 2 (196 enodes)
1554048227.819 * * [simplify]: iters left: 1 (362 enodes)
1554048227.935 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048227.935 * * [simplify]: Extracting #1: cost 5 inf + 0
1554048227.936 * * [simplify]: Extracting #2: cost 27 inf + 1
1554048227.936 * * [simplify]: Extracting #3: cost 103 inf + 2
1554048227.936 * * [simplify]: Extracting #4: cost 147 inf + 177
1554048227.937 * * [simplify]: Extracting #5: cost 138 inf + 686
1554048227.939 * * [simplify]: Extracting #6: cost 90 inf + 5192
1554048227.943 * * [simplify]: Extracting #7: cost 29 inf + 34526
1554048227.959 * * [simplify]: Extracting #8: cost 3 inf + 53567
1554048227.978 * * [simplify]: Extracting #9: cost 0 inf + 55996
1554048227.997 * * [simplify]: Extracting #10: cost 0 inf + 55520
1554048228.011 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
1554048228.012 * [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))))
1554048228.012 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
1554048228.012 * * [simplify]: iters left: 6 (13 enodes)
1554048228.016 * * [simplify]: iters left: 5 (54 enodes)
1554048228.025 * * [simplify]: iters left: 4 (88 enodes)
1554048228.047 * * [simplify]: iters left: 3 (125 enodes)
1554048228.067 * * [simplify]: iters left: 2 (193 enodes)
1554048228.114 * * [simplify]: iters left: 1 (356 enodes)
1554048228.233 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048228.233 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048228.233 * * [simplify]: Extracting #2: cost 9 inf + 0
1554048228.233 * * [simplify]: Extracting #3: cost 32 inf + 1
1554048228.234 * * [simplify]: Extracting #4: cost 105 inf + 84
1554048228.235 * * [simplify]: Extracting #5: cost 125 inf + 1632
1554048228.241 * * [simplify]: Extracting #6: cost 73 inf + 13139
1554048228.259 * * [simplify]: Extracting #7: cost 9 inf + 42244
1554048228.273 * * [simplify]: Extracting #8: cost 0 inf + 47700
1554048228.296 * * [simplify]: Extracting #9: cost 0 inf + 47090
1554048228.312 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
1554048228.312 * [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))))
1554048228.312 * * * * [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)))))>
1554048228.312 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554048228.312 * * [simplify]: iters left: 6 (14 enodes)
1554048228.316 * * [simplify]: iters left: 5 (57 enodes)
1554048228.326 * * [simplify]: iters left: 4 (91 enodes)
1554048228.353 * * [simplify]: iters left: 3 (127 enodes)
1554048228.374 * * [simplify]: iters left: 2 (195 enodes)
1554048228.440 * * [simplify]: iters left: 1 (354 enodes)
1554048228.602 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048228.603 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048228.603 * * [simplify]: Extracting #2: cost 9 inf + 0
1554048228.603 * * [simplify]: Extracting #3: cost 36 inf + 0
1554048228.604 * * [simplify]: Extracting #4: cost 113 inf + 165
1554048228.605 * * [simplify]: Extracting #5: cost 131 inf + 2335
1554048228.615 * * [simplify]: Extracting #6: cost 45 inf + 33642
1554048228.631 * * [simplify]: Extracting #7: cost 2 inf + 54636
1554048228.645 * * [simplify]: Extracting #8: cost 0 inf + 53015
1554048228.671 * * [simplify]: Extracting #9: cost 0 inf + 52581
1554048228.689 * * [simplify]: Extracting #10: cost 0 inf + 51919
1554048228.703 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554048228.703 * [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)))))
1554048228.704 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554048228.704 * * [simplify]: iters left: 6 (14 enodes)
1554048228.711 * * [simplify]: iters left: 5 (57 enodes)
1554048228.729 * * [simplify]: iters left: 4 (91 enodes)
1554048228.752 * * [simplify]: iters left: 3 (127 enodes)
1554048228.775 * * [simplify]: iters left: 2 (195 enodes)
1554048228.847 * * [simplify]: iters left: 1 (354 enodes)
1554048228.967 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048228.967 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048228.967 * * [simplify]: Extracting #2: cost 9 inf + 0
1554048228.967 * * [simplify]: Extracting #3: cost 36 inf + 0
1554048228.968 * * [simplify]: Extracting #4: cost 113 inf + 165
1554048228.969 * * [simplify]: Extracting #5: cost 131 inf + 2335
1554048228.978 * * [simplify]: Extracting #6: cost 45 inf + 33642
1554048228.989 * * [simplify]: Extracting #7: cost 2 inf + 54636
1554048229.003 * * [simplify]: Extracting #8: cost 0 inf + 53015
1554048229.031 * * [simplify]: Extracting #9: cost 0 inf + 52581
1554048229.061 * * [simplify]: Extracting #10: cost 0 inf + 51919
1554048229.090 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
1554048229.090 * [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)))))
1554048229.090 * * * * [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))))>
1554048229.090 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1)
1554048229.090 * * [simplify]: iters left: 6 (12 enodes)
1554048229.094 * * [simplify]: iters left: 5 (49 enodes)
1554048229.103 * * [simplify]: iters left: 4 (83 enodes)
1554048229.116 * * [simplify]: iters left: 3 (124 enodes)
1554048229.143 * * [simplify]: iters left: 2 (197 enodes)
1554048229.213 * * [simplify]: iters left: 1 (352 enodes)
1554048229.351 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048229.352 * * [simplify]: Extracting #1: cost 5 inf + 0
1554048229.352 * * [simplify]: Extracting #2: cost 27 inf + 1
1554048229.352 * * [simplify]: Extracting #3: cost 107 inf + 2
1554048229.353 * * [simplify]: Extracting #4: cost 136 inf + 177
1554048229.355 * * [simplify]: Extracting #5: cost 129 inf + 724
1554048229.359 * * [simplify]: Extracting #6: cost 68 inf + 10028
1554048229.371 * * [simplify]: Extracting #7: cost 27 inf + 32706
1554048229.389 * * [simplify]: Extracting #8: cost 0 inf + 57385
1554048229.411 * * [simplify]: Extracting #9: cost 0 inf + 56670
1554048229.431 * * [simplify]: Extracting #10: cost 0 inf + 56408
1554048229.450 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
1554048229.450 * [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))))
1554048229.450 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
1554048229.450 * * [simplify]: iters left: 6 (13 enodes)
1554048229.457 * * [simplify]: iters left: 5 (54 enodes)
1554048229.475 * * [simplify]: iters left: 4 (88 enodes)
1554048229.490 * * [simplify]: iters left: 3 (125 enodes)
1554048229.515 * * [simplify]: iters left: 2 (193 enodes)
1554048229.589 * * [simplify]: iters left: 1 (356 enodes)
1554048229.756 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048229.757 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048229.757 * * [simplify]: Extracting #2: cost 9 inf + 0
1554048229.757 * * [simplify]: Extracting #3: cost 32 inf + 1
1554048229.757 * * [simplify]: Extracting #4: cost 105 inf + 84
1554048229.759 * * [simplify]: Extracting #5: cost 125 inf + 1632
1554048229.768 * * [simplify]: Extracting #6: cost 73 inf + 13139
1554048229.785 * * [simplify]: Extracting #7: cost 9 inf + 42244
1554048229.802 * * [simplify]: Extracting #8: cost 0 inf + 47700
1554048229.816 * * [simplify]: Extracting #9: cost 0 inf + 47090
1554048229.833 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
1554048229.833 * [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))))
1554048229.833 * * * * [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)))))>
1554048229.833 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048229.833 * * [simplify]: iters left: 6 (6 enodes)
1554048229.837 * * [simplify]: iters left: 5 (22 enodes)
1554048229.843 * * [simplify]: iters left: 4 (26 enodes)
1554048229.851 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048229.851 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048229.852 * * [simplify]: Extracting #2: cost 9 inf + 1
1554048229.852 * * [simplify]: Extracting #3: cost 11 inf + 1
1554048229.852 * * [simplify]: Extracting #4: cost 8 inf + 84
1554048229.852 * * [simplify]: Extracting #5: cost 2 inf + 1013
1554048229.852 * * [simplify]: Extracting #6: cost 0 inf + 1376
1554048229.853 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048229.853 * [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)))))
1554048229.853 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
1554048229.853 * * [simplify]: iters left: 6 (13 enodes)
1554048229.860 * * [simplify]: iters left: 5 (54 enodes)
1554048229.879 * * [simplify]: iters left: 4 (89 enodes)
1554048229.907 * * [simplify]: iters left: 3 (136 enodes)
1554048229.947 * * [simplify]: iters left: 2 (221 enodes)
1554048230.006 * * [simplify]: iters left: 1 (444 enodes)
1554048230.216 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048230.217 * * [simplify]: Extracting #1: cost 51 inf + 0
1554048230.217 * * [simplify]: Extracting #2: cost 141 inf + 0
1554048230.219 * * [simplify]: Extracting #3: cost 217 inf + 3
1554048230.221 * * [simplify]: Extracting #4: cost 206 inf + 1256
1554048230.229 * * [simplify]: Extracting #5: cost 128 inf + 22660
1554048230.249 * * [simplify]: Extracting #6: cost 23 inf + 103572
1554048230.268 * * [simplify]: Extracting #7: cost 0 inf + 122695
1554048230.296 * * [simplify]: Extracting #8: cost 0 inf + 120000
1554048230.330 * * [simplify]: Extracting #9: cost 0 inf + 119244
1554048230.368 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))
1554048230.368 * [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)))))
1554048230.368 * * * * [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)))))>
1554048230.369 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k))))
1554048230.369 * * [simplify]: iters left: 6 (6 enodes)
1554048230.373 * * [simplify]: iters left: 5 (21 enodes)
1554048230.380 * * [simplify]: iters left: 4 (23 enodes)
1554048230.387 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048230.387 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048230.387 * * [simplify]: Extracting #2: cost 6 inf + 1
1554048230.387 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048230.388 * * [simplify]: Extracting #4: cost 8 inf + 2
1554048230.388 * * [simplify]: Extracting #5: cost 1 inf + 810
1554048230.388 * * [simplify]: Extracting #6: cost 0 inf + 972
1554048230.388 * [simplify]: Simplified to (/ 1 (fabs (cbrt k)))
1554048230.388 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
1554048230.389 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
1554048230.389 * * [simplify]: iters left: 6 (13 enodes)
1554048230.397 * * [simplify]: iters left: 5 (54 enodes)
1554048230.408 * * [simplify]: iters left: 4 (89 enodes)
1554048230.423 * * [simplify]: iters left: 3 (136 enodes)
1554048230.458 * * [simplify]: iters left: 2 (221 enodes)
1554048230.544 * * [simplify]: iters left: 1 (444 enodes)
1554048230.722 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048230.722 * * [simplify]: Extracting #1: cost 51 inf + 0
1554048230.723 * * [simplify]: Extracting #2: cost 141 inf + 0
1554048230.724 * * [simplify]: Extracting #3: cost 217 inf + 3
1554048230.726 * * [simplify]: Extracting #4: cost 206 inf + 1296
1554048230.734 * * [simplify]: Extracting #5: cost 128 inf + 22740
1554048230.757 * * [simplify]: Extracting #6: cost 23 inf + 103652
1554048230.776 * * [simplify]: Extracting #7: cost 0 inf + 122775
1554048230.809 * * [simplify]: Extracting #8: cost 0 inf + 120080
1554048230.828 * * [simplify]: Extracting #9: cost 0 inf + 119324
1554048230.851 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))
1554048230.851 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
1554048230.851 * * * * [progress]: [ 99 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
1554048230.851 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554048230.852 * * [simplify]: iters left: 4 (5 enodes)
1554048230.854 * * [simplify]: iters left: 3 (17 enodes)
1554048230.862 * * [simplify]: iters left: 2 (19 enodes)
1554048230.867 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048230.867 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048230.867 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048230.868 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048230.868 * * [simplify]: Extracting #4: cost 0 inf + 490
1554048230.868 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048230.868 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
1554048230.868 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554048230.868 * * [simplify]: iters left: 6 (13 enodes)
1554048230.877 * * [simplify]: iters left: 5 (54 enodes)
1554048230.888 * * [simplify]: iters left: 4 (89 enodes)
1554048230.903 * * [simplify]: iters left: 3 (136 enodes)
1554048230.929 * * [simplify]: iters left: 2 (221 enodes)
1554048231.001 * * [simplify]: iters left: 1 (444 enodes)
1554048231.141 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048231.141 * * [simplify]: Extracting #1: cost 51 inf + 0
1554048231.142 * * [simplify]: Extracting #2: cost 141 inf + 0
1554048231.143 * * [simplify]: Extracting #3: cost 217 inf + 3
1554048231.145 * * [simplify]: Extracting #4: cost 206 inf + 1176
1554048231.153 * * [simplify]: Extracting #5: cost 128 inf + 22380
1554048231.182 * * [simplify]: Extracting #6: cost 23 inf + 101172
1554048231.221 * * [simplify]: Extracting #7: cost 0 inf + 119655
1554048231.258 * * [simplify]: Extracting #8: cost 0 inf + 116960
1554048231.296 * * [simplify]: Extracting #9: cost 0 inf + 116204
1554048231.335 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554048231.335 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
1554048231.335 * * * * [progress]: [ 100 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
1554048231.335 * [simplify]: Simplifying (/ 1 (sqrt 1))
1554048231.336 * * [simplify]: iters left: 3 (3 enodes)
1554048231.342 * * [simplify]: iters left: 2 (11 enodes)
1554048231.345 * * [simplify]: iters left: 1 (13 enodes)
1554048231.349 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048231.349 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048231.349 * [simplify]: Simplified to 1
1554048231.349 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
1554048231.350 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
1554048231.350 * * [simplify]: iters left: 6 (12 enodes)
1554048231.357 * * [simplify]: iters left: 5 (51 enodes)
1554048231.366 * * [simplify]: iters left: 4 (86 enodes)
1554048231.382 * * [simplify]: iters left: 3 (133 enodes)
1554048231.412 * * [simplify]: iters left: 2 (218 enodes)
1554048231.472 * * [simplify]: iters left: 1 (444 enodes)
1554048231.661 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048231.661 * * [simplify]: Extracting #1: cost 39 inf + 0
1554048231.662 * * [simplify]: Extracting #2: cost 126 inf + 0
1554048231.663 * * [simplify]: Extracting #3: cost 201 inf + 4
1554048231.664 * * [simplify]: Extracting #4: cost 191 inf + 1382
1554048231.666 * * [simplify]: Extracting #5: cost 133 inf + 10319
1554048231.674 * * [simplify]: Extracting #6: cost 56 inf + 58095
1554048231.689 * * [simplify]: Extracting #7: cost 0 inf + 104434
1554048231.714 * * [simplify]: Extracting #8: cost 0 inf + 104433
1554048231.739 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
1554048231.739 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
1554048231.739 * * * * [progress]: [ 101 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
1554048231.740 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554048231.740 * * [simplify]: iters left: 4 (5 enodes)
1554048231.741 * * [simplify]: iters left: 3 (17 enodes)
1554048231.744 * * [simplify]: iters left: 2 (19 enodes)
1554048231.748 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048231.748 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048231.748 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048231.748 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048231.748 * * [simplify]: Extracting #4: cost 0 inf + 490
1554048231.748 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048231.748 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
1554048231.748 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554048231.748 * * [simplify]: iters left: 6 (13 enodes)
1554048231.754 * * [simplify]: iters left: 5 (54 enodes)
1554048231.764 * * [simplify]: iters left: 4 (89 enodes)
1554048231.790 * * [simplify]: iters left: 3 (136 enodes)
1554048231.813 * * [simplify]: iters left: 2 (221 enodes)
1554048231.873 * * [simplify]: iters left: 1 (444 enodes)
1554048232.098 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048232.098 * * [simplify]: Extracting #1: cost 51 inf + 0
1554048232.099 * * [simplify]: Extracting #2: cost 141 inf + 0
1554048232.101 * * [simplify]: Extracting #3: cost 217 inf + 3
1554048232.103 * * [simplify]: Extracting #4: cost 206 inf + 1176
1554048232.111 * * [simplify]: Extracting #5: cost 128 inf + 22380
1554048232.139 * * [simplify]: Extracting #6: cost 23 inf + 101172
1554048232.158 * * [simplify]: Extracting #7: cost 0 inf + 119655
1554048232.191 * * [simplify]: Extracting #8: cost 0 inf + 116960
1554048232.224 * * [simplify]: Extracting #9: cost 0 inf + 116204
1554048232.251 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
1554048232.251 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
1554048232.251 * * * * [progress]: [ 102 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
1554048232.251 * [simplify]: Simplifying (/ 1 1)
1554048232.251 * * [simplify]: iters left: 2 (2 enodes)
1554048232.252 * * [simplify]: iters left: 1 (6 enodes)
1554048232.254 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048232.254 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048232.254 * [simplify]: Simplified to 1
1554048232.254 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
1554048232.254 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
1554048232.254 * * [simplify]: iters left: 6 (12 enodes)
1554048232.258 * * [simplify]: iters left: 5 (51 enodes)
1554048232.267 * * [simplify]: iters left: 4 (86 enodes)
1554048232.294 * * [simplify]: iters left: 3 (133 enodes)
1554048232.339 * * [simplify]: iters left: 2 (218 enodes)
1554048232.421 * * [simplify]: iters left: 1 (444 enodes)
1554048232.596 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048232.596 * * [simplify]: Extracting #1: cost 39 inf + 0
1554048232.597 * * [simplify]: Extracting #2: cost 126 inf + 0
1554048232.599 * * [simplify]: Extracting #3: cost 201 inf + 4
1554048232.605 * * [simplify]: Extracting #4: cost 191 inf + 1382
1554048232.610 * * [simplify]: Extracting #5: cost 133 inf + 10319
1554048232.621 * * [simplify]: Extracting #6: cost 56 inf + 58095
1554048232.637 * * [simplify]: Extracting #7: cost 0 inf + 104434
1554048232.663 * * [simplify]: Extracting #8: cost 0 inf + 104433
1554048232.695 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
1554048232.696 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
1554048232.696 * * * * [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)))))>
1554048232.696 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048232.696 * * [simplify]: iters left: 6 (15 enodes)
1554048232.705 * * [simplify]: iters left: 5 (65 enodes)
1554048232.728 * * [simplify]: iters left: 4 (109 enodes)
1554048232.772 * * [simplify]: iters left: 3 (185 enodes)
1554048232.809 * * [simplify]: iters left: 2 (368 enodes)
1554048232.906 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048232.906 * * [simplify]: Extracting #1: cost 54 inf + 0
1554048232.906 * * [simplify]: Extracting #2: cost 144 inf + 0
1554048232.907 * * [simplify]: Extracting #3: cost 223 inf + 2
1554048232.908 * * [simplify]: Extracting #4: cost 205 inf + 3811
1554048232.912 * * [simplify]: Extracting #5: cost 131 inf + 29200
1554048232.931 * * [simplify]: Extracting #6: cost 16 inf + 109445
1554048232.948 * * [simplify]: Extracting #7: cost 0 inf + 122156
1554048232.981 * * [simplify]: Extracting #8: cost 0 inf + 122025
1554048233.014 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048233.014 * [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)))))
1554048233.015 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))
1554048233.015 * * [simplify]: iters left: 6 (14 enodes)
1554048233.023 * * [simplify]: iters left: 5 (60 enodes)
1554048233.043 * * [simplify]: iters left: 4 (98 enodes)
1554048233.075 * * [simplify]: iters left: 3 (157 enodes)
1554048233.102 * * [simplify]: iters left: 2 (290 enodes)
1554048233.164 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048233.164 * * [simplify]: Extracting #1: cost 30 inf + 0
1554048233.164 * * [simplify]: Extracting #2: cost 72 inf + 0
1554048233.165 * * [simplify]: Extracting #3: cost 138 inf + 2
1554048233.165 * * [simplify]: Extracting #4: cost 143 inf + 890
1554048233.168 * * [simplify]: Extracting #5: cost 80 inf + 17711
1554048233.175 * * [simplify]: Extracting #6: cost 8 inf + 48515
1554048233.191 * * [simplify]: Extracting #7: cost 0 inf + 53624
1554048233.208 * * [simplify]: Extracting #8: cost 0 inf + 53424
1554048233.225 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
1554048233.225 * [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) (- 1/4 (/ k 4))) (cbrt (sqrt k)))))
1554048233.225 * * * * [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)))))>
1554048233.225 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k))))
1554048233.226 * * [simplify]: iters left: 6 (15 enodes)
1554048233.234 * * [simplify]: iters left: 5 (64 enodes)
1554048233.251 * * [simplify]: iters left: 4 (102 enodes)
1554048233.267 * * [simplify]: iters left: 3 (161 enodes)
1554048233.295 * * [simplify]: iters left: 2 (288 enodes)
1554048233.383 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048233.383 * * [simplify]: Extracting #1: cost 30 inf + 0
1554048233.383 * * [simplify]: Extracting #2: cost 73 inf + 0
1554048233.384 * * [simplify]: Extracting #3: cost 138 inf + 2
1554048233.385 * * [simplify]: Extracting #4: cost 143 inf + 389
1554048233.387 * * [simplify]: Extracting #5: cost 103 inf + 4729
1554048233.397 * * [simplify]: Extracting #6: cost 27 inf + 38097
1554048233.412 * * [simplify]: Extracting #7: cost 0 inf + 59534
1554048233.427 * * [simplify]: Extracting #8: cost 0 inf + 59452
1554048233.444 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k)))
1554048233.444 * [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)))))
1554048233.444 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))
1554048233.444 * * [simplify]: iters left: 6 (14 enodes)
1554048233.453 * * [simplify]: iters left: 5 (60 enodes)
1554048233.476 * * [simplify]: iters left: 4 (98 enodes)
1554048233.511 * * [simplify]: iters left: 3 (157 enodes)
1554048233.569 * * [simplify]: iters left: 2 (290 enodes)
1554048233.652 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048233.653 * * [simplify]: Extracting #1: cost 30 inf + 0
1554048233.653 * * [simplify]: Extracting #2: cost 72 inf + 0
1554048233.654 * * [simplify]: Extracting #3: cost 138 inf + 2
1554048233.655 * * [simplify]: Extracting #4: cost 143 inf + 890
1554048233.661 * * [simplify]: Extracting #5: cost 80 inf + 17791
1554048233.674 * * [simplify]: Extracting #6: cost 8 inf + 48595
1554048233.691 * * [simplify]: Extracting #7: cost 0 inf + 53704
1554048233.702 * * [simplify]: Extracting #8: cost 0 inf + 53504
1554048233.711 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
1554048233.711 * [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) (- 1/4 (/ k 4))) (sqrt (cbrt k)))))
1554048233.711 * * * * [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)))))>
1554048233.711 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
1554048233.711 * * [simplify]: iters left: 6 (14 enodes)
1554048233.719 * * [simplify]: iters left: 5 (60 enodes)
1554048233.729 * * [simplify]: iters left: 4 (98 enodes)
1554048233.756 * * [simplify]: iters left: 3 (157 enodes)
1554048233.789 * * [simplify]: iters left: 2 (290 enodes)
1554048233.874 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048233.874 * * [simplify]: Extracting #1: cost 30 inf + 0
1554048233.874 * * [simplify]: Extracting #2: cost 72 inf + 0
1554048233.875 * * [simplify]: Extracting #3: cost 138 inf + 2
1554048233.875 * * [simplify]: Extracting #4: cost 143 inf + 890
1554048233.879 * * [simplify]: Extracting #5: cost 80 inf + 17431
1554048233.893 * * [simplify]: Extracting #6: cost 8 inf + 47315
1554048233.910 * * [simplify]: Extracting #7: cost 0 inf + 52144
1554048233.926 * * [simplify]: Extracting #8: cost 0 inf + 51944
1554048233.946 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
1554048233.946 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))
1554048233.946 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
1554048233.947 * * [simplify]: iters left: 6 (14 enodes)
1554048233.955 * * [simplify]: iters left: 5 (60 enodes)
1554048233.971 * * [simplify]: iters left: 4 (98 enodes)
1554048233.988 * * [simplify]: iters left: 3 (157 enodes)
1554048234.038 * * [simplify]: iters left: 2 (290 enodes)
1554048234.150 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048234.151 * * [simplify]: Extracting #1: cost 30 inf + 0
1554048234.151 * * [simplify]: Extracting #2: cost 72 inf + 0
1554048234.152 * * [simplify]: Extracting #3: cost 138 inf + 2
1554048234.153 * * [simplify]: Extracting #4: cost 143 inf + 890
1554048234.158 * * [simplify]: Extracting #5: cost 80 inf + 17431
1554048234.173 * * [simplify]: Extracting #6: cost 8 inf + 47315
1554048234.190 * * [simplify]: Extracting #7: cost 0 inf + 52144
1554048234.211 * * [simplify]: Extracting #8: cost 0 inf + 51944
1554048234.229 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
1554048234.229 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))))
1554048234.229 * * * * [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))))>
1554048234.229 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1))
1554048234.230 * * [simplify]: iters left: 6 (13 enodes)
1554048234.239 * * [simplify]: iters left: 5 (57 enodes)
1554048234.259 * * [simplify]: iters left: 4 (93 enodes)
1554048234.288 * * [simplify]: iters left: 3 (148 enodes)
1554048234.343 * * [simplify]: iters left: 2 (271 enodes)
1554048234.446 * * [simplify]: iters left: 1 (497 enodes)
1554048234.737 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048234.737 * * [simplify]: Extracting #1: cost 54 inf + 0
1554048234.737 * * [simplify]: Extracting #2: cost 165 inf + 2
1554048234.739 * * [simplify]: Extracting #3: cost 238 inf + 220
1554048234.740 * * [simplify]: Extracting #4: cost 231 inf + 855
1554048234.743 * * [simplify]: Extracting #5: cost 139 inf + 14771
1554048234.757 * * [simplify]: Extracting #6: cost 27 inf + 65033
1554048234.777 * * [simplify]: Extracting #7: cost 0 inf + 84937
1554048234.800 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4))
1554048234.800 * [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))))
1554048234.801 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
1554048234.801 * * [simplify]: iters left: 6 (13 enodes)
1554048234.813 * * [simplify]: iters left: 5 (57 enodes)
1554048234.828 * * [simplify]: iters left: 4 (95 enodes)
1554048234.844 * * [simplify]: iters left: 3 (154 enodes)
1554048234.884 * * [simplify]: iters left: 2 (287 enodes)
1554048234.966 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048234.966 * * [simplify]: Extracting #1: cost 30 inf + 0
1554048234.967 * * [simplify]: Extracting #2: cost 73 inf + 0
1554048234.968 * * [simplify]: Extracting #3: cost 136 inf + 3
1554048234.969 * * [simplify]: Extracting #4: cost 130 inf + 1385
1554048234.974 * * [simplify]: Extracting #5: cost 76 inf + 14535
1554048234.986 * * [simplify]: Extracting #6: cost 5 inf + 50457
1554048235.001 * * [simplify]: Extracting #7: cost 0 inf + 54374
1554048235.017 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))
1554048235.017 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))))
1554048235.017 * * * * [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)))))>
1554048235.017 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
1554048235.017 * * [simplify]: iters left: 6 (14 enodes)
1554048235.027 * * [simplify]: iters left: 5 (60 enodes)
1554048235.052 * * [simplify]: iters left: 4 (98 enodes)
1554048235.071 * * [simplify]: iters left: 3 (157 enodes)
1554048235.114 * * [simplify]: iters left: 2 (290 enodes)
1554048235.576 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048235.576 * * [simplify]: Extracting #1: cost 30 inf + 0
1554048235.576 * * [simplify]: Extracting #2: cost 72 inf + 0
1554048235.577 * * [simplify]: Extracting #3: cost 138 inf + 2
1554048235.578 * * [simplify]: Extracting #4: cost 143 inf + 890
1554048235.583 * * [simplify]: Extracting #5: cost 80 inf + 17431
1554048235.597 * * [simplify]: Extracting #6: cost 8 inf + 47315
1554048235.614 * * [simplify]: Extracting #7: cost 0 inf + 52144
1554048235.631 * * [simplify]: Extracting #8: cost 0 inf + 51944
1554048235.647 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
1554048235.648 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))
1554048235.648 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
1554048235.648 * * [simplify]: iters left: 6 (14 enodes)
1554048235.660 * * [simplify]: iters left: 5 (60 enodes)
1554048235.680 * * [simplify]: iters left: 4 (98 enodes)
1554048235.712 * * [simplify]: iters left: 3 (157 enodes)
1554048235.741 * * [simplify]: iters left: 2 (290 enodes)
1554048235.812 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048235.812 * * [simplify]: Extracting #1: cost 30 inf + 0
1554048235.812 * * [simplify]: Extracting #2: cost 72 inf + 0
1554048235.813 * * [simplify]: Extracting #3: cost 138 inf + 2
1554048235.814 * * [simplify]: Extracting #4: cost 143 inf + 890
1554048235.819 * * [simplify]: Extracting #5: cost 80 inf + 17431
1554048235.833 * * [simplify]: Extracting #6: cost 8 inf + 47315
1554048235.849 * * [simplify]: Extracting #7: cost 0 inf + 52144
1554048235.858 * * [simplify]: Extracting #8: cost 0 inf + 51944
1554048235.868 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
1554048235.868 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))))
1554048235.868 * * * * [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))))>
1554048235.869 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1)
1554048235.869 * * [simplify]: iters left: 6 (12 enodes)
1554048235.873 * * [simplify]: iters left: 5 (52 enodes)
1554048235.882 * * [simplify]: iters left: 4 (90 enodes)
1554048235.912 * * [simplify]: iters left: 3 (151 enodes)
1554048235.964 * * [simplify]: iters left: 2 (287 enodes)
1554048236.040 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048236.040 * * [simplify]: Extracting #1: cost 31 inf + 0
1554048236.041 * * [simplify]: Extracting #2: cost 99 inf + 2
1554048236.041 * * [simplify]: Extracting #3: cost 141 inf + 219
1554048236.042 * * [simplify]: Extracting #4: cost 139 inf + 807
1554048236.043 * * [simplify]: Extracting #5: cost 85 inf + 6440
1554048236.047 * * [simplify]: Extracting #6: cost 41 inf + 22533
1554048236.058 * * [simplify]: Extracting #7: cost 3 inf + 47776
1554048236.071 * * [simplify]: Extracting #8: cost 0 inf + 50387
1554048236.078 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
1554048236.078 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
1554048236.079 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
1554048236.079 * * [simplify]: iters left: 6 (13 enodes)
1554048236.083 * * [simplify]: iters left: 5 (57 enodes)
1554048236.093 * * [simplify]: iters left: 4 (95 enodes)
1554048236.118 * * [simplify]: iters left: 3 (154 enodes)
1554048236.157 * * [simplify]: iters left: 2 (287 enodes)
1554048236.251 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048236.252 * * [simplify]: Extracting #1: cost 30 inf + 0
1554048236.252 * * [simplify]: Extracting #2: cost 73 inf + 0
1554048236.252 * * [simplify]: Extracting #3: cost 136 inf + 3
1554048236.253 * * [simplify]: Extracting #4: cost 130 inf + 1385
1554048236.258 * * [simplify]: Extracting #5: cost 76 inf + 14535
1554048236.270 * * [simplify]: Extracting #6: cost 5 inf + 50457
1554048236.286 * * [simplify]: Extracting #7: cost 0 inf + 54374
1554048236.297 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))
1554048236.298 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))))
1554048236.298 * * * * [progress]: [ 109 / 133 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
1554048236.298 * * * * [progress]: [ 110 / 133 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048236.298 * * * * [progress]: [ 111 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
1554048236.298 * * * * [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))))>
1554048236.298 * [simplify]: Simplifying (cbrt (sqrt k))
1554048236.298 * * [simplify]: iters left: 2 (3 enodes)
1554048236.299 * * [simplify]: iters left: 1 (9 enodes)
1554048236.300 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048236.300 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048236.300 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048236.300 * * [simplify]: Extracting #3: cost 4 inf + 1
1554048236.300 * * [simplify]: Extracting #4: cost 0 inf + 325
1554048236.300 * [simplify]: Simplified to (cbrt (sqrt k))
1554048236.300 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
1554048236.300 * * * * [progress]: [ 113 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
1554048236.300 * [simplify]: Simplifying (sqrt (cbrt k))
1554048236.300 * * [simplify]: iters left: 2 (3 enodes)
1554048236.301 * * [simplify]: iters left: 1 (9 enodes)
1554048236.302 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048236.302 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048236.302 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048236.302 * * [simplify]: Extracting #3: cost 4 inf + 1
1554048236.302 * * [simplify]: Extracting #4: cost 0 inf + 405
1554048236.302 * [simplify]: Simplified to (sqrt (cbrt k))
1554048236.302 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))
1554048236.303 * * * * [progress]: [ 114 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1554048236.303 * [simplify]: Simplifying (sqrt (sqrt k))
1554048236.303 * * [simplify]: iters left: 2 (3 enodes)
1554048236.303 * * [simplify]: iters left: 1 (9 enodes)
1554048236.304 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048236.305 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048236.305 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048236.305 * * [simplify]: Extracting #3: cost 4 inf + 1
1554048236.305 * * [simplify]: Extracting #4: cost 0 inf + 245
1554048236.305 * [simplify]: Simplified to (sqrt (sqrt k))
1554048236.305 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
1554048236.305 * * * * [progress]: [ 115 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))>
1554048236.305 * [simplify]: Simplifying (sqrt k)
1554048236.305 * * [simplify]: iters left: 1 (2 enodes)
1554048236.305 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048236.305 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048236.306 * * [simplify]: Extracting #2: cost 2 inf + 1
1554048236.306 * * [simplify]: Extracting #3: cost 0 inf + 83
1554048236.306 * [simplify]: Simplified to (sqrt k)
1554048236.306 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))
1554048236.306 * * * * [progress]: [ 116 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1554048236.306 * [simplify]: Simplifying (sqrt (sqrt k))
1554048236.306 * * [simplify]: iters left: 2 (3 enodes)
1554048236.306 * * [simplify]: iters left: 1 (9 enodes)
1554048236.308 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048236.308 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048236.308 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048236.308 * * [simplify]: Extracting #3: cost 4 inf + 1
1554048236.308 * * [simplify]: Extracting #4: cost 0 inf + 245
1554048236.308 * [simplify]: Simplified to (sqrt (sqrt k))
1554048236.308 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
1554048236.308 * * * * [progress]: [ 117 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
1554048236.308 * [simplify]: Simplifying (sqrt k)
1554048236.308 * * [simplify]: iters left: 1 (2 enodes)
1554048236.309 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048236.309 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048236.309 * * [simplify]: Extracting #2: cost 2 inf + 1
1554048236.309 * * [simplify]: Extracting #3: cost 0 inf + 83
1554048236.309 * [simplify]: Simplified to (sqrt k)
1554048236.309 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))
1554048236.309 * * * * [progress]: [ 118 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))>
1554048236.309 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
1554048236.309 * * [simplify]: iters left: 5 (7 enodes)
1554048236.312 * * [simplify]: iters left: 4 (32 enodes)
1554048236.322 * * [simplify]: iters left: 3 (57 enodes)
1554048236.342 * * [simplify]: iters left: 2 (88 enodes)
1554048236.360 * * [simplify]: iters left: 1 (156 enodes)
1554048236.409 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048236.409 * * [simplify]: Extracting #1: cost 13 inf + 0
1554048236.409 * * [simplify]: Extracting #2: cost 49 inf + 2
1554048236.410 * * [simplify]: Extracting #3: cost 80 inf + 6
1554048236.411 * * [simplify]: Extracting #4: cost 58 inf + 1840
1554048236.414 * * [simplify]: Extracting #5: cost 22 inf + 9206
1554048236.419 * * [simplify]: Extracting #6: cost 1 inf + 20886
1554048236.426 * * [simplify]: Extracting #7: cost 0 inf + 21301
1554048236.432 * * [simplify]: Extracting #8: cost 0 inf + 21130
1554048236.438 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
1554048236.438 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
1554048236.438 * * * * [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))))))>
1554048236.439 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
1554048236.439 * * [simplify]: iters left: 6 (12 enodes)
1554048236.443 * * [simplify]: iters left: 5 (51 enodes)
1554048236.453 * * [simplify]: iters left: 4 (84 enodes)
1554048236.467 * * [simplify]: iters left: 3 (125 enodes)
1554048236.505 * * [simplify]: iters left: 2 (198 enodes)
1554048236.568 * * [simplify]: iters left: 1 (353 enodes)
1554048236.707 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048236.707 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048236.707 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048236.707 * * [simplify]: Extracting #3: cost 28 inf + 0
1554048236.708 * * [simplify]: Extracting #4: cost 101 inf + 1
1554048236.709 * * [simplify]: Extracting #5: cost 136 inf + 176
1554048236.710 * * [simplify]: Extracting #6: cost 126 inf + 1348
1554048236.714 * * [simplify]: Extracting #7: cost 70 inf + 12457
1554048236.729 * * [simplify]: Extracting #8: cost 19 inf + 42176
1554048236.748 * * [simplify]: Extracting #9: cost 0 inf + 57297
1554048236.768 * * [simplify]: Extracting #10: cost 0 inf + 56855
1554048236.787 * * [simplify]: Extracting #11: cost 0 inf + 56816
1554048236.797 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
1554048236.797 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
1554048236.798 * * * * [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))))))>
1554048236.798 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
1554048236.798 * * [simplify]: iters left: 6 (11 enodes)
1554048236.801 * * [simplify]: iters left: 5 (48 enodes)
1554048236.809 * * [simplify]: iters left: 4 (78 enodes)
1554048236.823 * * [simplify]: iters left: 3 (120 enodes)
1554048236.869 * * [simplify]: iters left: 2 (211 enodes)
1554048236.938 * * [simplify]: iters left: 1 (380 enodes)
1554048237.055 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048237.055 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048237.055 * * [simplify]: Extracting #2: cost 29 inf + 0
1554048237.055 * * [simplify]: Extracting #3: cost 113 inf + 1
1554048237.056 * * [simplify]: Extracting #4: cost 155 inf + 220
1554048237.057 * * [simplify]: Extracting #5: cost 153 inf + 561
1554048237.058 * * [simplify]: Extracting #6: cost 121 inf + 2833
1554048237.061 * * [simplify]: Extracting #7: cost 68 inf + 14038
1554048237.069 * * [simplify]: Extracting #8: cost 15 inf + 50044
1554048237.080 * * [simplify]: Extracting #9: cost 0 inf + 59395
1554048237.091 * * [simplify]: Extracting #10: cost 0 inf + 59194
1554048237.102 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
1554048237.102 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
1554048237.102 * * * * [progress]: [ 121 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
1554048237.102 * * * * [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)))))>
1554048237.102 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
1554048237.102 * * [simplify]: iters left: 6 (11 enodes)
1554048237.106 * * [simplify]: iters left: 5 (51 enodes)
1554048237.125 * * [simplify]: iters left: 4 (87 enodes)
1554048237.154 * * [simplify]: iters left: 3 (143 enodes)
1554048237.198 * * [simplify]: iters left: 2 (259 enodes)
1554048237.279 * * [simplify]: iters left: 1 (469 enodes)
1554048237.498 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048237.498 * * [simplify]: Extracting #1: cost 24 inf + 0
1554048237.498 * * [simplify]: Extracting #2: cost 110 inf + 1
1554048237.499 * * [simplify]: Extracting #3: cost 192 inf + 178
1554048237.500 * * [simplify]: Extracting #4: cost 178 inf + 1845
1554048237.503 * * [simplify]: Extracting #5: cost 89 inf + 12477
1554048237.509 * * [simplify]: Extracting #6: cost 41 inf + 28219
1554048237.533 * * [simplify]: Extracting #7: cost 4 inf + 58625
1554048237.554 * * [simplify]: Extracting #8: cost 0 inf + 62670
1554048237.575 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k)))
1554048237.575 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))
1554048237.575 * * * * [progress]: [ 123 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
1554048237.576 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2))
1554048237.576 * * [simplify]: iters left: 5 (8 enodes)
1554048237.582 * * [simplify]: iters left: 4 (35 enodes)
1554048237.590 * * [simplify]: iters left: 3 (63 enodes)
1554048237.602 * * [simplify]: iters left: 2 (108 enodes)
1554048237.625 * * [simplify]: iters left: 1 (162 enodes)
1554048237.656 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048237.656 * * [simplify]: Extracting #1: cost 12 inf + 0
1554048237.656 * * [simplify]: Extracting #2: cost 40 inf + 2
1554048237.657 * * [simplify]: Extracting #3: cost 40 inf + 9
1554048237.657 * * [simplify]: Extracting #4: cost 25 inf + 2233
1554048237.659 * * [simplify]: Extracting #5: cost 10 inf + 8991
1554048237.662 * * [simplify]: Extracting #6: cost 0 inf + 14572
1554048237.666 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
1554048237.666 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))
1554048237.666 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
1554048237.666 * * * * [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)))>
1554048237.666 * [simplify]: Simplifying (- (+ (* 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)))))
1554048237.667 * * [simplify]: iters left: 6 (37 enodes)
1554048237.688 * * [simplify]: iters left: 5 (190 enodes)
1554048237.736 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048237.737 * * [simplify]: Extracting #1: cost 22 inf + 0
1554048237.737 * * [simplify]: Extracting #2: cost 108 inf + 1
1554048237.740 * * [simplify]: Extracting #3: cost 171 inf + 46
1554048237.741 * * [simplify]: Extracting #4: cost 189 inf + 427
1554048237.743 * * [simplify]: Extracting #5: cost 128 inf + 16032
1554048237.752 * * [simplify]: Extracting #6: cost 29 inf + 57153
1554048237.767 * * [simplify]: Extracting #7: cost 4 inf + 75884
1554048237.794 * * [simplify]: Extracting #8: cost 0 inf + 78767
1554048237.810 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2)))
1554048237.810 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (sqrt k)))
1554048237.811 * * * * [progress]: [ 126 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
1554048237.811 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554048237.811 * * [simplify]: iters left: 6 (15 enodes)
1554048237.817 * * [simplify]: iters left: 5 (65 enodes)
1554048237.836 * * [simplify]: iters left: 4 (123 enodes)
1554048237.889 * * [simplify]: iters left: 3 (367 enodes)
1554048238.095 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048238.095 * * [simplify]: Extracting #1: cost 37 inf + 0
1554048238.096 * * [simplify]: Extracting #2: cost 216 inf + 72
1554048238.099 * * [simplify]: Extracting #3: cost 356 inf + 1622
1554048238.107 * * [simplify]: Extracting #4: cost 219 inf + 28945
1554048238.134 * * [simplify]: Extracting #5: cost 21 inf + 83197
1554048238.167 * * [simplify]: Extracting #6: cost 0 inf + 89881
1554048238.200 * * [simplify]: Extracting #7: cost 0 inf + 89729
1554048238.231 * * [simplify]: Extracting #8: cost 0 inf + 89726
1554048238.247 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))
1554048238.247 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k)))
1554048238.247 * * * * [progress]: [ 127 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
1554048238.248 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554048238.248 * * [simplify]: iters left: 6 (16 enodes)
1554048238.253 * * [simplify]: iters left: 5 (67 enodes)
1554048238.276 * * [simplify]: iters left: 4 (134 enodes)
1554048238.309 * * [simplify]: iters left: 3 (413 enodes)
1554048238.523 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048238.523 * * [simplify]: Extracting #1: cost 39 inf + 0
1554048238.524 * * [simplify]: Extracting #2: cost 241 inf + 72
1554048238.526 * * [simplify]: Extracting #3: cost 450 inf + 903
1554048238.529 * * [simplify]: Extracting #4: cost 376 inf + 10375
1554048238.540 * * [simplify]: Extracting #5: cost 158 inf + 67083
1554048238.585 * * [simplify]: Extracting #6: cost 12 inf + 118840
1554048238.612 * * [simplify]: Extracting #7: cost 0 inf + 121984
1554048238.642 * * [simplify]: Extracting #8: cost 0 inf + 121983
1554048238.682 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))
1554048238.682 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k)))
1554048238.682 * * * * [progress]: [ 128 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
1554048238.683 * [simplify]: Simplifying (* 2 (* n PI))
1554048238.683 * * [simplify]: iters left: 4 (5 enodes)
1554048238.685 * * [simplify]: iters left: 3 (19 enodes)
1554048238.691 * * [simplify]: iters left: 2 (27 enodes)
1554048238.698 * * [simplify]: iters left: 1 (32 enodes)
1554048238.705 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048238.705 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048238.705 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048238.706 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048238.706 * [simplify]: Simplified to (* (* PI n) 2)
1554048238.706 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
1554048238.706 * * * * [progress]: [ 129 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
1554048238.706 * [simplify]: Simplifying (* 2 (* n PI))
1554048238.706 * * [simplify]: iters left: 4 (5 enodes)
1554048238.709 * * [simplify]: iters left: 3 (19 enodes)
1554048238.715 * * [simplify]: iters left: 2 (27 enodes)
1554048238.723 * * [simplify]: iters left: 1 (32 enodes)
1554048238.731 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048238.731 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048238.731 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048238.731 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048238.731 * [simplify]: Simplified to (* (* PI n) 2)
1554048238.731 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
1554048238.731 * * * * [progress]: [ 130 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
1554048238.732 * [simplify]: Simplifying (* 2 (* n PI))
1554048238.732 * * [simplify]: iters left: 4 (5 enodes)
1554048238.734 * * [simplify]: iters left: 3 (19 enodes)
1554048238.739 * * [simplify]: iters left: 2 (27 enodes)
1554048238.747 * * [simplify]: iters left: 1 (32 enodes)
1554048238.754 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048238.754 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048238.754 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048238.754 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048238.754 * [simplify]: Simplified to (* (* PI n) 2)
1554048238.754 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
1554048238.754 * * * * [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)))))))))))))))))))))))>
1554048238.755 * [simplify]: Simplifying (- (+ (* +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))))))))))))))))))))))
1554048238.755 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554048238.755 * * * * [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)))))))))>
1554048238.756 * [simplify]: Simplifying (- (+ (* +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))))))))
1554048238.756 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554048238.756 * * * * [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)))))))))))))>
1554048238.756 * [simplify]: Simplifying (- (+ (* +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))))))))))))
1554048238.756 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554048238.756 * * * [progress]: adding candidates to table
1554048240.135 * * [progress]: iteration 2 / 4
1554048240.135 * * * [progress]: picking best candidate
1554048240.166 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048240.166 * * * [progress]: localizing error
1554048240.189 * * * [progress]: generating rewritten candidates
1554048240.190 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
1554048240.205 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
1554048240.210 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
1554048240.226 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1554048240.278 * * * [progress]: generating series expansions
1554048240.278 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
1554048240.279 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
1554048240.279 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
1554048240.279 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1554048240.279 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1554048240.279 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1554048240.279 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1554048240.279 * [taylor]: Taking taylor expansion of 1/2 in k
1554048240.279 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.279 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048240.279 * [taylor]: Taking taylor expansion of 1 in k
1554048240.280 * [backup-simplify]: Simplify 1 into 1
1554048240.280 * [taylor]: Taking taylor expansion of k in k
1554048240.280 * [backup-simplify]: Simplify 0 into 0
1554048240.280 * [backup-simplify]: Simplify 1 into 1
1554048240.280 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554048240.280 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554048240.280 * [taylor]: Taking taylor expansion of 2 in k
1554048240.280 * [backup-simplify]: Simplify 2 into 2
1554048240.280 * [taylor]: Taking taylor expansion of (* n PI) in k
1554048240.280 * [taylor]: Taking taylor expansion of n in k
1554048240.280 * [backup-simplify]: Simplify n into n
1554048240.280 * [taylor]: Taking taylor expansion of PI in k
1554048240.280 * [backup-simplify]: Simplify PI into PI
1554048240.280 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554048240.280 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554048240.280 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554048240.280 * [backup-simplify]: Simplify (- 0) into 0
1554048240.281 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048240.281 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554048240.281 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1554048240.281 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1554048240.281 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554048240.281 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048240.281 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048240.282 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554048240.282 * [taylor]: Taking taylor expansion of 1/2 in n
1554048240.282 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.282 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048240.282 * [taylor]: Taking taylor expansion of 1 in n
1554048240.282 * [backup-simplify]: Simplify 1 into 1
1554048240.282 * [taylor]: Taking taylor expansion of k in n
1554048240.282 * [backup-simplify]: Simplify k into k
1554048240.282 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048240.282 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048240.282 * [taylor]: Taking taylor expansion of 2 in n
1554048240.282 * [backup-simplify]: Simplify 2 into 2
1554048240.282 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048240.282 * [taylor]: Taking taylor expansion of n in n
1554048240.282 * [backup-simplify]: Simplify 0 into 0
1554048240.282 * [backup-simplify]: Simplify 1 into 1
1554048240.282 * [taylor]: Taking taylor expansion of PI in n
1554048240.282 * [backup-simplify]: Simplify PI into PI
1554048240.282 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048240.283 * [backup-simplify]: Simplify (* 2 0) into 0
1554048240.284 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048240.286 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048240.287 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048240.287 * [backup-simplify]: Simplify (- k) into (- k)
1554048240.287 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048240.287 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554048240.288 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048240.289 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048240.290 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048240.290 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554048240.290 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048240.290 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048240.290 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554048240.290 * [taylor]: Taking taylor expansion of 1/2 in n
1554048240.291 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.291 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048240.291 * [taylor]: Taking taylor expansion of 1 in n
1554048240.291 * [backup-simplify]: Simplify 1 into 1
1554048240.291 * [taylor]: Taking taylor expansion of k in n
1554048240.291 * [backup-simplify]: Simplify k into k
1554048240.291 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048240.291 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048240.291 * [taylor]: Taking taylor expansion of 2 in n
1554048240.291 * [backup-simplify]: Simplify 2 into 2
1554048240.291 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048240.291 * [taylor]: Taking taylor expansion of n in n
1554048240.291 * [backup-simplify]: Simplify 0 into 0
1554048240.291 * [backup-simplify]: Simplify 1 into 1
1554048240.291 * [taylor]: Taking taylor expansion of PI in n
1554048240.291 * [backup-simplify]: Simplify PI into PI
1554048240.291 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048240.292 * [backup-simplify]: Simplify (* 2 0) into 0
1554048240.293 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048240.295 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048240.296 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048240.296 * [backup-simplify]: Simplify (- k) into (- k)
1554048240.296 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048240.296 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554048240.297 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048240.298 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048240.299 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048240.299 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554048240.299 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554048240.299 * [taylor]: Taking taylor expansion of 1/2 in k
1554048240.299 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.299 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554048240.300 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048240.300 * [taylor]: Taking taylor expansion of 1 in k
1554048240.300 * [backup-simplify]: Simplify 1 into 1
1554048240.300 * [taylor]: Taking taylor expansion of k in k
1554048240.300 * [backup-simplify]: Simplify 0 into 0
1554048240.300 * [backup-simplify]: Simplify 1 into 1
1554048240.300 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554048240.300 * [taylor]: Taking taylor expansion of (log n) in k
1554048240.300 * [taylor]: Taking taylor expansion of n in k
1554048240.300 * [backup-simplify]: Simplify n into n
1554048240.300 * [backup-simplify]: Simplify (log n) into (log n)
1554048240.300 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048240.300 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048240.300 * [taylor]: Taking taylor expansion of 2 in k
1554048240.300 * [backup-simplify]: Simplify 2 into 2
1554048240.300 * [taylor]: Taking taylor expansion of PI in k
1554048240.300 * [backup-simplify]: Simplify PI into PI
1554048240.300 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048240.301 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048240.302 * [backup-simplify]: Simplify (- 0) into 0
1554048240.302 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048240.303 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048240.304 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554048240.305 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1554048240.306 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554048240.307 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554048240.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554048240.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554048240.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048240.311 * [backup-simplify]: Simplify (- 0) into 0
1554048240.312 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1554048240.314 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048240.315 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554048240.317 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048240.317 * [taylor]: Taking taylor expansion of 0 in k
1554048240.317 * [backup-simplify]: Simplify 0 into 0
1554048240.317 * [backup-simplify]: Simplify 0 into 0
1554048240.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554048240.318 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048240.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048240.320 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.321 * [backup-simplify]: Simplify (- 1) into -1
1554048240.321 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048240.323 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554048240.325 * [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)))))
1554048240.328 * [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)))))))
1554048240.330 * [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)))))))
1554048240.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048240.333 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554048240.336 * [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
1554048240.336 * [backup-simplify]: Simplify (- 0) into 0
1554048240.337 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554048240.339 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048240.340 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048240.342 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048240.342 * [taylor]: Taking taylor expansion of 0 in k
1554048240.342 * [backup-simplify]: Simplify 0 into 0
1554048240.342 * [backup-simplify]: Simplify 0 into 0
1554048240.343 * [backup-simplify]: Simplify 0 into 0
1554048240.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554048240.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048240.347 * [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
1554048240.347 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.347 * [backup-simplify]: Simplify (- 0) into 0
1554048240.347 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048240.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048240.355 * [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)))))
1554048240.358 * [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)))))
1554048240.363 * [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)))))
1554048240.363 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
1554048240.363 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1554048240.363 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1554048240.363 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554048240.363 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554048240.363 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1554048240.363 * [taylor]: Taking taylor expansion of 1/2 in k
1554048240.363 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.363 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048240.364 * [taylor]: Taking taylor expansion of 1 in k
1554048240.364 * [backup-simplify]: Simplify 1 into 1
1554048240.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048240.364 * [taylor]: Taking taylor expansion of k in k
1554048240.364 * [backup-simplify]: Simplify 0 into 0
1554048240.364 * [backup-simplify]: Simplify 1 into 1
1554048240.364 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048240.364 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554048240.364 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554048240.364 * [taylor]: Taking taylor expansion of 2 in k
1554048240.364 * [backup-simplify]: Simplify 2 into 2
1554048240.364 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048240.364 * [taylor]: Taking taylor expansion of PI in k
1554048240.364 * [backup-simplify]: Simplify PI into PI
1554048240.364 * [taylor]: Taking taylor expansion of n in k
1554048240.364 * [backup-simplify]: Simplify n into n
1554048240.364 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048240.364 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554048240.364 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554048240.364 * [backup-simplify]: Simplify (- 1) into -1
1554048240.365 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048240.365 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1554048240.365 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1554048240.365 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554048240.365 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554048240.365 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048240.365 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048240.365 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554048240.365 * [taylor]: Taking taylor expansion of 1/2 in n
1554048240.365 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.365 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048240.365 * [taylor]: Taking taylor expansion of 1 in n
1554048240.365 * [backup-simplify]: Simplify 1 into 1
1554048240.365 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048240.365 * [taylor]: Taking taylor expansion of k in n
1554048240.365 * [backup-simplify]: Simplify k into k
1554048240.365 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048240.365 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048240.365 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048240.365 * [taylor]: Taking taylor expansion of 2 in n
1554048240.365 * [backup-simplify]: Simplify 2 into 2
1554048240.365 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048240.365 * [taylor]: Taking taylor expansion of PI in n
1554048240.365 * [backup-simplify]: Simplify PI into PI
1554048240.365 * [taylor]: Taking taylor expansion of n in n
1554048240.365 * [backup-simplify]: Simplify 0 into 0
1554048240.365 * [backup-simplify]: Simplify 1 into 1
1554048240.366 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048240.366 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048240.367 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048240.367 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048240.367 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048240.367 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554048240.368 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048240.368 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048240.369 * [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)))))
1554048240.369 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554048240.369 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048240.369 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048240.369 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554048240.369 * [taylor]: Taking taylor expansion of 1/2 in n
1554048240.369 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.369 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048240.369 * [taylor]: Taking taylor expansion of 1 in n
1554048240.369 * [backup-simplify]: Simplify 1 into 1
1554048240.369 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048240.369 * [taylor]: Taking taylor expansion of k in n
1554048240.369 * [backup-simplify]: Simplify k into k
1554048240.369 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048240.369 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048240.369 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048240.369 * [taylor]: Taking taylor expansion of 2 in n
1554048240.369 * [backup-simplify]: Simplify 2 into 2
1554048240.369 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048240.369 * [taylor]: Taking taylor expansion of PI in n
1554048240.369 * [backup-simplify]: Simplify PI into PI
1554048240.369 * [taylor]: Taking taylor expansion of n in n
1554048240.369 * [backup-simplify]: Simplify 0 into 0
1554048240.369 * [backup-simplify]: Simplify 1 into 1
1554048240.370 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048240.370 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048240.371 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048240.371 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048240.371 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048240.371 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554048240.372 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048240.373 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048240.374 * [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)))))
1554048240.374 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554048240.374 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554048240.374 * [taylor]: Taking taylor expansion of 1/2 in k
1554048240.374 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.374 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554048240.374 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048240.374 * [taylor]: Taking taylor expansion of 1 in k
1554048240.374 * [backup-simplify]: Simplify 1 into 1
1554048240.374 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048240.374 * [taylor]: Taking taylor expansion of k in k
1554048240.374 * [backup-simplify]: Simplify 0 into 0
1554048240.374 * [backup-simplify]: Simplify 1 into 1
1554048240.375 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048240.375 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554048240.375 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048240.375 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048240.375 * [taylor]: Taking taylor expansion of 2 in k
1554048240.375 * [backup-simplify]: Simplify 2 into 2
1554048240.375 * [taylor]: Taking taylor expansion of PI in k
1554048240.375 * [backup-simplify]: Simplify PI into PI
1554048240.375 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048240.376 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048240.376 * [taylor]: Taking taylor expansion of (log n) in k
1554048240.376 * [taylor]: Taking taylor expansion of n in k
1554048240.376 * [backup-simplify]: Simplify n into n
1554048240.376 * [backup-simplify]: Simplify (log n) into (log n)
1554048240.377 * [backup-simplify]: Simplify (- 1) into -1
1554048240.377 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048240.377 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048240.378 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554048240.379 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554048240.380 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1554048240.381 * [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)))))
1554048240.382 * [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)))))
1554048240.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048240.384 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048240.386 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048240.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048240.386 * [backup-simplify]: Simplify (- 0) into 0
1554048240.387 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1554048240.389 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048240.390 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554048240.392 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048240.392 * [taylor]: Taking taylor expansion of 0 in k
1554048240.392 * [backup-simplify]: Simplify 0 into 0
1554048240.392 * [backup-simplify]: Simplify 0 into 0
1554048240.392 * [backup-simplify]: Simplify 0 into 0
1554048240.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048240.397 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554048240.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048240.398 * [backup-simplify]: Simplify (- 0) into 0
1554048240.398 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554048240.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048240.402 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554048240.403 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048240.403 * [taylor]: Taking taylor expansion of 0 in k
1554048240.403 * [backup-simplify]: Simplify 0 into 0
1554048240.403 * [backup-simplify]: Simplify 0 into 0
1554048240.403 * [backup-simplify]: Simplify 0 into 0
1554048240.403 * [backup-simplify]: Simplify 0 into 0
1554048240.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.404 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048240.407 * [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
1554048240.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048240.408 * [backup-simplify]: Simplify (- 0) into 0
1554048240.408 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554048240.410 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048240.411 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554048240.412 * [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
1554048240.413 * [taylor]: Taking taylor expansion of 0 in k
1554048240.413 * [backup-simplify]: Simplify 0 into 0
1554048240.413 * [backup-simplify]: Simplify 0 into 0
1554048240.413 * [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))))))
1554048240.414 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
1554048240.414 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1554048240.414 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1554048240.414 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554048240.414 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554048240.414 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1554048240.414 * [taylor]: Taking taylor expansion of 1/2 in k
1554048240.414 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.414 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048240.414 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048240.414 * [taylor]: Taking taylor expansion of k in k
1554048240.414 * [backup-simplify]: Simplify 0 into 0
1554048240.414 * [backup-simplify]: Simplify 1 into 1
1554048240.414 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048240.414 * [taylor]: Taking taylor expansion of 1 in k
1554048240.414 * [backup-simplify]: Simplify 1 into 1
1554048240.414 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554048240.414 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554048240.414 * [taylor]: Taking taylor expansion of -2 in k
1554048240.414 * [backup-simplify]: Simplify -2 into -2
1554048240.414 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048240.414 * [taylor]: Taking taylor expansion of PI in k
1554048240.414 * [backup-simplify]: Simplify PI into PI
1554048240.414 * [taylor]: Taking taylor expansion of n in k
1554048240.414 * [backup-simplify]: Simplify n into n
1554048240.414 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048240.415 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554048240.415 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554048240.415 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048240.415 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554048240.415 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1554048240.415 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554048240.415 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554048240.415 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048240.415 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048240.415 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554048240.415 * [taylor]: Taking taylor expansion of 1/2 in n
1554048240.415 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.415 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048240.415 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048240.415 * [taylor]: Taking taylor expansion of k in n
1554048240.416 * [backup-simplify]: Simplify k into k
1554048240.416 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048240.416 * [taylor]: Taking taylor expansion of 1 in n
1554048240.416 * [backup-simplify]: Simplify 1 into 1
1554048240.416 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048240.416 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048240.416 * [taylor]: Taking taylor expansion of -2 in n
1554048240.416 * [backup-simplify]: Simplify -2 into -2
1554048240.416 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048240.416 * [taylor]: Taking taylor expansion of PI in n
1554048240.416 * [backup-simplify]: Simplify PI into PI
1554048240.416 * [taylor]: Taking taylor expansion of n in n
1554048240.416 * [backup-simplify]: Simplify 0 into 0
1554048240.416 * [backup-simplify]: Simplify 1 into 1
1554048240.416 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048240.416 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048240.417 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048240.417 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048240.417 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554048240.418 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048240.419 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048240.419 * [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)))))
1554048240.419 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554048240.419 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048240.419 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048240.419 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554048240.419 * [taylor]: Taking taylor expansion of 1/2 in n
1554048240.419 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.419 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048240.419 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048240.419 * [taylor]: Taking taylor expansion of k in n
1554048240.419 * [backup-simplify]: Simplify k into k
1554048240.419 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048240.419 * [taylor]: Taking taylor expansion of 1 in n
1554048240.420 * [backup-simplify]: Simplify 1 into 1
1554048240.420 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048240.420 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048240.420 * [taylor]: Taking taylor expansion of -2 in n
1554048240.420 * [backup-simplify]: Simplify -2 into -2
1554048240.420 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048240.420 * [taylor]: Taking taylor expansion of PI in n
1554048240.420 * [backup-simplify]: Simplify PI into PI
1554048240.420 * [taylor]: Taking taylor expansion of n in n
1554048240.420 * [backup-simplify]: Simplify 0 into 0
1554048240.420 * [backup-simplify]: Simplify 1 into 1
1554048240.420 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048240.420 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048240.421 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048240.421 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048240.421 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554048240.422 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048240.423 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048240.423 * [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)))))
1554048240.423 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554048240.423 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554048240.423 * [taylor]: Taking taylor expansion of 1/2 in k
1554048240.424 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.424 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554048240.424 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048240.424 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048240.424 * [taylor]: Taking taylor expansion of k in k
1554048240.424 * [backup-simplify]: Simplify 0 into 0
1554048240.424 * [backup-simplify]: Simplify 1 into 1
1554048240.424 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048240.424 * [taylor]: Taking taylor expansion of 1 in k
1554048240.424 * [backup-simplify]: Simplify 1 into 1
1554048240.424 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554048240.424 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554048240.424 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554048240.424 * [taylor]: Taking taylor expansion of -2 in k
1554048240.424 * [backup-simplify]: Simplify -2 into -2
1554048240.424 * [taylor]: Taking taylor expansion of PI in k
1554048240.424 * [backup-simplify]: Simplify PI into PI
1554048240.424 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048240.425 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048240.425 * [taylor]: Taking taylor expansion of (log n) in k
1554048240.425 * [taylor]: Taking taylor expansion of n in k
1554048240.425 * [backup-simplify]: Simplify n into n
1554048240.425 * [backup-simplify]: Simplify (log n) into (log n)
1554048240.425 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048240.425 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048240.426 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554048240.427 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554048240.427 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1554048240.428 * [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)))))
1554048240.429 * [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)))))
1554048240.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048240.430 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554048240.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554048240.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048240.431 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1554048240.432 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048240.433 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554048240.435 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048240.435 * [taylor]: Taking taylor expansion of 0 in k
1554048240.435 * [backup-simplify]: Simplify 0 into 0
1554048240.435 * [backup-simplify]: Simplify 0 into 0
1554048240.435 * [backup-simplify]: Simplify 0 into 0
1554048240.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.438 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048240.441 * [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
1554048240.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048240.442 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554048240.444 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048240.445 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554048240.448 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048240.448 * [taylor]: Taking taylor expansion of 0 in k
1554048240.448 * [backup-simplify]: Simplify 0 into 0
1554048240.448 * [backup-simplify]: Simplify 0 into 0
1554048240.448 * [backup-simplify]: Simplify 0 into 0
1554048240.448 * [backup-simplify]: Simplify 0 into 0
1554048240.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.450 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048240.459 * [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
1554048240.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048240.460 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1554048240.462 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048240.463 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1554048240.465 * [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
1554048240.465 * [taylor]: Taking taylor expansion of 0 in k
1554048240.465 * [backup-simplify]: Simplify 0 into 0
1554048240.465 * [backup-simplify]: Simplify 0 into 0
1554048240.466 * [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))))))
1554048240.466 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
1554048240.466 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
1554048240.466 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
1554048240.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554048240.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048240.466 * [taylor]: Taking taylor expansion of k in k
1554048240.466 * [backup-simplify]: Simplify 0 into 0
1554048240.466 * [backup-simplify]: Simplify 1 into 1
1554048240.466 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048240.466 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048240.467 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048240.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554048240.467 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048240.467 * [taylor]: Taking taylor expansion of k in k
1554048240.467 * [backup-simplify]: Simplify 0 into 0
1554048240.467 * [backup-simplify]: Simplify 1 into 1
1554048240.468 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048240.468 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048240.469 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048240.469 * [backup-simplify]: Simplify 0 into 0
1554048240.469 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554048240.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1554048240.471 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554048240.471 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554048240.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554048240.474 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554048240.474 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1554048240.474 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
1554048240.474 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
1554048240.474 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554048240.474 * [taylor]: Taking taylor expansion of k in k
1554048240.474 * [backup-simplify]: Simplify 0 into 0
1554048240.475 * [backup-simplify]: Simplify 1 into 1
1554048240.475 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048240.476 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048240.476 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554048240.476 * [taylor]: Taking taylor expansion of k in k
1554048240.476 * [backup-simplify]: Simplify 0 into 0
1554048240.476 * [backup-simplify]: Simplify 1 into 1
1554048240.476 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048240.477 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048240.477 * [backup-simplify]: Simplify 0 into 0
1554048240.477 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554048240.478 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554048240.478 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554048240.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554048240.481 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554048240.481 * [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))))))))
1554048240.481 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
1554048240.481 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
1554048240.481 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1554048240.481 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1554048240.481 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1554048240.481 * [taylor]: Taking taylor expansion of -1 in k
1554048240.481 * [backup-simplify]: Simplify -1 into -1
1554048240.481 * [taylor]: Taking taylor expansion of k in k
1554048240.481 * [backup-simplify]: Simplify 0 into 0
1554048240.481 * [backup-simplify]: Simplify 1 into 1
1554048240.482 * [backup-simplify]: Simplify (/ -1 1) into -1
1554048240.482 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048240.483 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554048240.483 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
1554048240.483 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1554048240.483 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1554048240.483 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1554048240.483 * [taylor]: Taking taylor expansion of -1 in k
1554048240.483 * [backup-simplify]: Simplify -1 into -1
1554048240.483 * [taylor]: Taking taylor expansion of k in k
1554048240.483 * [backup-simplify]: Simplify 0 into 0
1554048240.483 * [backup-simplify]: Simplify 1 into 1
1554048240.483 * [backup-simplify]: Simplify (/ -1 1) into -1
1554048240.484 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048240.484 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554048240.485 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
1554048240.485 * [backup-simplify]: Simplify +nan.0 into +nan.0
1554048240.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1554048240.487 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554048240.488 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1554048240.488 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
1554048240.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554048240.497 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
1554048240.497 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
1554048240.498 * [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)))))
1554048240.499 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
1554048240.499 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
1554048240.499 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1554048240.499 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048240.499 * [taylor]: Taking taylor expansion of 2 in n
1554048240.499 * [backup-simplify]: Simplify 2 into 2
1554048240.499 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048240.499 * [taylor]: Taking taylor expansion of n in n
1554048240.499 * [backup-simplify]: Simplify 0 into 0
1554048240.499 * [backup-simplify]: Simplify 1 into 1
1554048240.499 * [taylor]: Taking taylor expansion of PI in n
1554048240.499 * [backup-simplify]: Simplify PI into PI
1554048240.499 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048240.499 * [taylor]: Taking taylor expansion of 2 in n
1554048240.499 * [backup-simplify]: Simplify 2 into 2
1554048240.499 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048240.500 * [taylor]: Taking taylor expansion of n in n
1554048240.500 * [backup-simplify]: Simplify 0 into 0
1554048240.500 * [backup-simplify]: Simplify 1 into 1
1554048240.500 * [taylor]: Taking taylor expansion of PI in n
1554048240.500 * [backup-simplify]: Simplify PI into PI
1554048240.500 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048240.501 * [backup-simplify]: Simplify (* 2 0) into 0
1554048240.501 * [backup-simplify]: Simplify 0 into 0
1554048240.502 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048240.502 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048240.503 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048240.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554048240.504 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554048240.504 * [backup-simplify]: Simplify 0 into 0
1554048240.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048240.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554048240.505 * [backup-simplify]: Simplify 0 into 0
1554048240.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048240.507 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554048240.507 * [backup-simplify]: Simplify 0 into 0
1554048240.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048240.508 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1554048240.508 * [backup-simplify]: Simplify 0 into 0
1554048240.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048240.510 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1554048240.510 * [backup-simplify]: Simplify 0 into 0
1554048240.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1554048240.512 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1554048240.512 * [backup-simplify]: Simplify 0 into 0
1554048240.512 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1554048240.513 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
1554048240.513 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1554048240.513 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048240.513 * [taylor]: Taking taylor expansion of 2 in n
1554048240.513 * [backup-simplify]: Simplify 2 into 2
1554048240.513 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048240.513 * [taylor]: Taking taylor expansion of PI in n
1554048240.513 * [backup-simplify]: Simplify PI into PI
1554048240.513 * [taylor]: Taking taylor expansion of n in n
1554048240.513 * [backup-simplify]: Simplify 0 into 0
1554048240.513 * [backup-simplify]: Simplify 1 into 1
1554048240.513 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048240.513 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048240.513 * [taylor]: Taking taylor expansion of 2 in n
1554048240.513 * [backup-simplify]: Simplify 2 into 2
1554048240.513 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048240.513 * [taylor]: Taking taylor expansion of PI in n
1554048240.513 * [backup-simplify]: Simplify PI into PI
1554048240.513 * [taylor]: Taking taylor expansion of n in n
1554048240.513 * [backup-simplify]: Simplify 0 into 0
1554048240.513 * [backup-simplify]: Simplify 1 into 1
1554048240.514 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048240.514 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048240.514 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048240.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048240.515 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048240.515 * [backup-simplify]: Simplify 0 into 0
1554048240.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.516 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048240.516 * [backup-simplify]: Simplify 0 into 0
1554048240.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.518 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048240.518 * [backup-simplify]: Simplify 0 into 0
1554048240.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.519 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048240.519 * [backup-simplify]: Simplify 0 into 0
1554048240.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.520 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048240.520 * [backup-simplify]: Simplify 0 into 0
1554048240.521 * [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
1554048240.522 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048240.522 * [backup-simplify]: Simplify 0 into 0
1554048240.523 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1554048240.523 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
1554048240.523 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1554048240.523 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048240.523 * [taylor]: Taking taylor expansion of -2 in n
1554048240.523 * [backup-simplify]: Simplify -2 into -2
1554048240.523 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048240.523 * [taylor]: Taking taylor expansion of PI in n
1554048240.523 * [backup-simplify]: Simplify PI into PI
1554048240.523 * [taylor]: Taking taylor expansion of n in n
1554048240.523 * [backup-simplify]: Simplify 0 into 0
1554048240.523 * [backup-simplify]: Simplify 1 into 1
1554048240.524 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048240.524 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048240.524 * [taylor]: Taking taylor expansion of -2 in n
1554048240.524 * [backup-simplify]: Simplify -2 into -2
1554048240.524 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048240.524 * [taylor]: Taking taylor expansion of PI in n
1554048240.524 * [backup-simplify]: Simplify PI into PI
1554048240.524 * [taylor]: Taking taylor expansion of n in n
1554048240.524 * [backup-simplify]: Simplify 0 into 0
1554048240.524 * [backup-simplify]: Simplify 1 into 1
1554048240.524 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048240.524 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048240.525 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048240.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048240.526 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554048240.526 * [backup-simplify]: Simplify 0 into 0
1554048240.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.527 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048240.527 * [backup-simplify]: Simplify 0 into 0
1554048240.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.528 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048240.528 * [backup-simplify]: Simplify 0 into 0
1554048240.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.530 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048240.530 * [backup-simplify]: Simplify 0 into 0
1554048240.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.531 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048240.531 * [backup-simplify]: Simplify 0 into 0
1554048240.532 * [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
1554048240.533 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048240.533 * [backup-simplify]: Simplify 0 into 0
1554048240.533 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1554048240.533 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1554048240.534 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
1554048240.534 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
1554048240.534 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1554048240.534 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1554048240.534 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1554048240.534 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1554048240.534 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1554048240.534 * [taylor]: Taking taylor expansion of 1/2 in k
1554048240.534 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.534 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048240.534 * [taylor]: Taking taylor expansion of 1 in k
1554048240.534 * [backup-simplify]: Simplify 1 into 1
1554048240.534 * [taylor]: Taking taylor expansion of k in k
1554048240.534 * [backup-simplify]: Simplify 0 into 0
1554048240.534 * [backup-simplify]: Simplify 1 into 1
1554048240.535 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554048240.535 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554048240.535 * [taylor]: Taking taylor expansion of 2 in k
1554048240.535 * [backup-simplify]: Simplify 2 into 2
1554048240.535 * [taylor]: Taking taylor expansion of (* n PI) in k
1554048240.535 * [taylor]: Taking taylor expansion of n in k
1554048240.535 * [backup-simplify]: Simplify n into n
1554048240.535 * [taylor]: Taking taylor expansion of PI in k
1554048240.535 * [backup-simplify]: Simplify PI into PI
1554048240.535 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554048240.535 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554048240.535 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554048240.535 * [backup-simplify]: Simplify (- 0) into 0
1554048240.536 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048240.537 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554048240.537 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1554048240.537 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1554048240.537 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554048240.537 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048240.537 * [taylor]: Taking taylor expansion of k in k
1554048240.537 * [backup-simplify]: Simplify 0 into 0
1554048240.537 * [backup-simplify]: Simplify 1 into 1
1554048240.537 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048240.538 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048240.539 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048240.539 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1554048240.539 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554048240.539 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048240.539 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048240.539 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554048240.540 * [taylor]: Taking taylor expansion of 1/2 in n
1554048240.540 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.540 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048240.540 * [taylor]: Taking taylor expansion of 1 in n
1554048240.540 * [backup-simplify]: Simplify 1 into 1
1554048240.540 * [taylor]: Taking taylor expansion of k in n
1554048240.540 * [backup-simplify]: Simplify k into k
1554048240.540 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048240.540 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048240.540 * [taylor]: Taking taylor expansion of 2 in n
1554048240.540 * [backup-simplify]: Simplify 2 into 2
1554048240.540 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048240.540 * [taylor]: Taking taylor expansion of n in n
1554048240.540 * [backup-simplify]: Simplify 0 into 0
1554048240.540 * [backup-simplify]: Simplify 1 into 1
1554048240.540 * [taylor]: Taking taylor expansion of PI in n
1554048240.540 * [backup-simplify]: Simplify PI into PI
1554048240.540 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048240.541 * [backup-simplify]: Simplify (* 2 0) into 0
1554048240.542 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048240.544 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048240.545 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048240.545 * [backup-simplify]: Simplify (- k) into (- k)
1554048240.545 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048240.545 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554048240.546 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048240.548 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048240.549 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048240.549 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1554048240.549 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048240.549 * [taylor]: Taking taylor expansion of k in n
1554048240.549 * [backup-simplify]: Simplify k into k
1554048240.549 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048240.549 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1554048240.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048240.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1554048240.549 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1554048240.549 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554048240.549 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048240.549 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048240.549 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554048240.549 * [taylor]: Taking taylor expansion of 1/2 in n
1554048240.549 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.549 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048240.549 * [taylor]: Taking taylor expansion of 1 in n
1554048240.549 * [backup-simplify]: Simplify 1 into 1
1554048240.549 * [taylor]: Taking taylor expansion of k in n
1554048240.550 * [backup-simplify]: Simplify k into k
1554048240.550 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048240.550 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048240.550 * [taylor]: Taking taylor expansion of 2 in n
1554048240.550 * [backup-simplify]: Simplify 2 into 2
1554048240.550 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048240.550 * [taylor]: Taking taylor expansion of n in n
1554048240.550 * [backup-simplify]: Simplify 0 into 0
1554048240.550 * [backup-simplify]: Simplify 1 into 1
1554048240.550 * [taylor]: Taking taylor expansion of PI in n
1554048240.550 * [backup-simplify]: Simplify PI into PI
1554048240.550 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048240.551 * [backup-simplify]: Simplify (* 2 0) into 0
1554048240.552 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048240.554 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048240.555 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048240.555 * [backup-simplify]: Simplify (- k) into (- k)
1554048240.555 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048240.555 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554048240.556 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048240.557 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048240.558 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048240.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1554048240.558 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048240.559 * [taylor]: Taking taylor expansion of k in n
1554048240.559 * [backup-simplify]: Simplify k into k
1554048240.559 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048240.559 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1554048240.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048240.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1554048240.562 * [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)))
1554048240.562 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
1554048240.562 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554048240.562 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554048240.563 * [taylor]: Taking taylor expansion of 1/2 in k
1554048240.563 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.563 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554048240.563 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048240.563 * [taylor]: Taking taylor expansion of 1 in k
1554048240.563 * [backup-simplify]: Simplify 1 into 1
1554048240.563 * [taylor]: Taking taylor expansion of k in k
1554048240.563 * [backup-simplify]: Simplify 0 into 0
1554048240.563 * [backup-simplify]: Simplify 1 into 1
1554048240.563 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554048240.563 * [taylor]: Taking taylor expansion of (log n) in k
1554048240.563 * [taylor]: Taking taylor expansion of n in k
1554048240.563 * [backup-simplify]: Simplify n into n
1554048240.563 * [backup-simplify]: Simplify (log n) into (log n)
1554048240.563 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048240.563 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048240.563 * [taylor]: Taking taylor expansion of 2 in k
1554048240.563 * [backup-simplify]: Simplify 2 into 2
1554048240.563 * [taylor]: Taking taylor expansion of PI in k
1554048240.563 * [backup-simplify]: Simplify PI into PI
1554048240.564 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048240.565 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048240.565 * [backup-simplify]: Simplify (- 0) into 0
1554048240.565 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048240.566 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048240.567 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554048240.568 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1554048240.569 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554048240.570 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554048240.570 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048240.570 * [taylor]: Taking taylor expansion of k in k
1554048240.570 * [backup-simplify]: Simplify 0 into 0
1554048240.570 * [backup-simplify]: Simplify 1 into 1
1554048240.570 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048240.570 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048240.572 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048240.573 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1554048240.573 * [backup-simplify]: Simplify 0 into 0
1554048240.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554048240.575 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554048240.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048240.577 * [backup-simplify]: Simplify (- 0) into 0
1554048240.578 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1554048240.580 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048240.581 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554048240.583 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048240.584 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
1554048240.584 * [taylor]: Taking taylor expansion of 0 in k
1554048240.584 * [backup-simplify]: Simplify 0 into 0
1554048240.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554048240.586 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048240.587 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048240.588 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.588 * [backup-simplify]: Simplify (- 1) into -1
1554048240.588 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048240.590 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554048240.592 * [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)))))
1554048240.594 * [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)))))))
1554048240.596 * [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)))))))
1554048240.597 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554048240.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048240.598 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1554048240.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048240.599 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554048240.601 * [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
1554048240.601 * [backup-simplify]: Simplify (- 0) into 0
1554048240.601 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554048240.602 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048240.603 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048240.605 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048240.606 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
1554048240.606 * [taylor]: Taking taylor expansion of 0 in k
1554048240.606 * [backup-simplify]: Simplify 0 into 0
1554048240.606 * [backup-simplify]: Simplify 0 into 0
1554048240.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1554048240.608 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554048240.609 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554048240.609 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048240.611 * [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
1554048240.611 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.612 * [backup-simplify]: Simplify (- 0) into 0
1554048240.612 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048240.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048240.617 * [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)))))
1554048240.623 * [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))))))))
1554048240.628 * [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))))))))
1554048240.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048240.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1554048240.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048240.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554048240.638 * [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
1554048240.638 * [backup-simplify]: Simplify (- 0) into 0
1554048240.639 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
1554048240.641 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048240.643 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554048240.645 * [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
1554048240.648 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
1554048240.648 * [taylor]: Taking taylor expansion of 0 in k
1554048240.648 * [backup-simplify]: Simplify 0 into 0
1554048240.648 * [backup-simplify]: Simplify 0 into 0
1554048240.648 * [backup-simplify]: Simplify 0 into 0
1554048240.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554048240.656 * [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
1554048240.657 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048240.663 * [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
1554048240.664 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.664 * [backup-simplify]: Simplify (- 0) into 0
1554048240.665 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554048240.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554048240.676 * [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)))))))
1554048240.696 * [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))))))))))))))
1554048240.707 * [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))))))))))))))
1554048240.725 * [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))))))))))))))))))))))
1554048240.726 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (/ 1 (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
1554048240.726 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
1554048240.726 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1554048240.726 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1554048240.726 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554048240.726 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554048240.726 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1554048240.726 * [taylor]: Taking taylor expansion of 1/2 in k
1554048240.726 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.726 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048240.726 * [taylor]: Taking taylor expansion of 1 in k
1554048240.726 * [backup-simplify]: Simplify 1 into 1
1554048240.726 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048240.726 * [taylor]: Taking taylor expansion of k in k
1554048240.726 * [backup-simplify]: Simplify 0 into 0
1554048240.726 * [backup-simplify]: Simplify 1 into 1
1554048240.727 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048240.727 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554048240.727 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554048240.727 * [taylor]: Taking taylor expansion of 2 in k
1554048240.727 * [backup-simplify]: Simplify 2 into 2
1554048240.727 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048240.727 * [taylor]: Taking taylor expansion of PI in k
1554048240.727 * [backup-simplify]: Simplify PI into PI
1554048240.727 * [taylor]: Taking taylor expansion of n in k
1554048240.727 * [backup-simplify]: Simplify n into n
1554048240.727 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048240.727 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554048240.727 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554048240.728 * [backup-simplify]: Simplify (- 1) into -1
1554048240.728 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048240.729 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1554048240.729 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1554048240.729 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554048240.729 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554048240.729 * [taylor]: Taking taylor expansion of k in k
1554048240.729 * [backup-simplify]: Simplify 0 into 0
1554048240.729 * [backup-simplify]: Simplify 1 into 1
1554048240.729 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048240.731 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048240.731 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1554048240.731 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554048240.731 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048240.731 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048240.731 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554048240.731 * [taylor]: Taking taylor expansion of 1/2 in n
1554048240.731 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.731 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048240.731 * [taylor]: Taking taylor expansion of 1 in n
1554048240.731 * [backup-simplify]: Simplify 1 into 1
1554048240.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048240.731 * [taylor]: Taking taylor expansion of k in n
1554048240.731 * [backup-simplify]: Simplify k into k
1554048240.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048240.731 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048240.731 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048240.731 * [taylor]: Taking taylor expansion of 2 in n
1554048240.731 * [backup-simplify]: Simplify 2 into 2
1554048240.731 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048240.731 * [taylor]: Taking taylor expansion of PI in n
1554048240.731 * [backup-simplify]: Simplify PI into PI
1554048240.731 * [taylor]: Taking taylor expansion of n in n
1554048240.732 * [backup-simplify]: Simplify 0 into 0
1554048240.732 * [backup-simplify]: Simplify 1 into 1
1554048240.732 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048240.732 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048240.733 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048240.733 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048240.734 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048240.734 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554048240.735 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048240.736 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048240.737 * [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)))))
1554048240.737 * [taylor]: Taking taylor expansion of (sqrt k) in n
1554048240.737 * [taylor]: Taking taylor expansion of k in n
1554048240.737 * [backup-simplify]: Simplify k into k
1554048240.737 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1554048240.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1554048240.737 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1554048240.738 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554048240.738 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048240.738 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048240.738 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554048240.738 * [taylor]: Taking taylor expansion of 1/2 in n
1554048240.738 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.738 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048240.738 * [taylor]: Taking taylor expansion of 1 in n
1554048240.738 * [backup-simplify]: Simplify 1 into 1
1554048240.738 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048240.738 * [taylor]: Taking taylor expansion of k in n
1554048240.738 * [backup-simplify]: Simplify k into k
1554048240.738 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048240.738 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048240.738 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048240.738 * [taylor]: Taking taylor expansion of 2 in n
1554048240.738 * [backup-simplify]: Simplify 2 into 2
1554048240.738 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048240.738 * [taylor]: Taking taylor expansion of PI in n
1554048240.738 * [backup-simplify]: Simplify PI into PI
1554048240.738 * [taylor]: Taking taylor expansion of n in n
1554048240.738 * [backup-simplify]: Simplify 0 into 0
1554048240.738 * [backup-simplify]: Simplify 1 into 1
1554048240.739 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048240.739 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048240.740 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048240.740 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048240.740 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048240.740 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554048240.742 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048240.744 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048240.745 * [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)))))
1554048240.745 * [taylor]: Taking taylor expansion of (sqrt k) in n
1554048240.745 * [taylor]: Taking taylor expansion of k in n
1554048240.745 * [backup-simplify]: Simplify k into k
1554048240.745 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1554048240.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1554048240.746 * [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))
1554048240.746 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
1554048240.746 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554048240.746 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554048240.746 * [taylor]: Taking taylor expansion of 1/2 in k
1554048240.746 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.746 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554048240.746 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048240.746 * [taylor]: Taking taylor expansion of 1 in k
1554048240.746 * [backup-simplify]: Simplify 1 into 1
1554048240.746 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048240.746 * [taylor]: Taking taylor expansion of k in k
1554048240.746 * [backup-simplify]: Simplify 0 into 0
1554048240.747 * [backup-simplify]: Simplify 1 into 1
1554048240.747 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048240.747 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554048240.747 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048240.747 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048240.747 * [taylor]: Taking taylor expansion of 2 in k
1554048240.747 * [backup-simplify]: Simplify 2 into 2
1554048240.747 * [taylor]: Taking taylor expansion of PI in k
1554048240.747 * [backup-simplify]: Simplify PI into PI
1554048240.748 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048240.749 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048240.749 * [taylor]: Taking taylor expansion of (log n) in k
1554048240.749 * [taylor]: Taking taylor expansion of n in k
1554048240.749 * [backup-simplify]: Simplify n into n
1554048240.749 * [backup-simplify]: Simplify (log n) into (log n)
1554048240.749 * [backup-simplify]: Simplify (- 1) into -1
1554048240.749 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048240.750 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048240.750 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554048240.751 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554048240.753 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1554048240.754 * [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)))))
1554048240.754 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554048240.754 * [taylor]: Taking taylor expansion of k in k
1554048240.754 * [backup-simplify]: Simplify 0 into 0
1554048240.754 * [backup-simplify]: Simplify 1 into 1
1554048240.754 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048240.756 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048240.757 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
1554048240.757 * [backup-simplify]: Simplify 0 into 0
1554048240.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048240.758 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048240.760 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048240.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048240.761 * [backup-simplify]: Simplify (- 0) into 0
1554048240.761 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1554048240.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048240.764 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554048240.766 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048240.767 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
1554048240.767 * [taylor]: Taking taylor expansion of 0 in k
1554048240.767 * [backup-simplify]: Simplify 0 into 0
1554048240.767 * [backup-simplify]: Simplify 0 into 0
1554048240.769 * [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)))))))
1554048240.770 * [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)))))))
1554048240.771 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1554048240.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.773 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048240.776 * [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
1554048240.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048240.777 * [backup-simplify]: Simplify (- 0) into 0
1554048240.777 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554048240.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048240.781 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554048240.784 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048240.785 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
1554048240.785 * [taylor]: Taking taylor expansion of 0 in k
1554048240.785 * [backup-simplify]: Simplify 0 into 0
1554048240.785 * [backup-simplify]: Simplify 0 into 0
1554048240.785 * [backup-simplify]: Simplify 0 into 0
1554048240.788 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554048240.790 * [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)))))))
1554048240.791 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1554048240.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1554048240.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048240.800 * [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
1554048240.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048240.801 * [backup-simplify]: Simplify (- 0) into 0
1554048240.802 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554048240.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048240.806 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554048240.809 * [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
1554048240.811 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
1554048240.811 * [taylor]: Taking taylor expansion of 0 in k
1554048240.811 * [backup-simplify]: Simplify 0 into 0
1554048240.811 * [backup-simplify]: Simplify 0 into 0
1554048240.811 * [backup-simplify]: Simplify 0 into 0
1554048240.811 * [backup-simplify]: Simplify 0 into 0
1554048240.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554048240.817 * [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)))))))
1554048240.818 * [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)))))))
1554048240.825 * [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))))))))
1554048240.826 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (/ 1 (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
1554048240.826 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
1554048240.826 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1554048240.826 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1554048240.826 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554048240.826 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554048240.826 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1554048240.826 * [taylor]: Taking taylor expansion of 1/2 in k
1554048240.826 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.826 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048240.826 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048240.826 * [taylor]: Taking taylor expansion of k in k
1554048240.826 * [backup-simplify]: Simplify 0 into 0
1554048240.826 * [backup-simplify]: Simplify 1 into 1
1554048240.827 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048240.827 * [taylor]: Taking taylor expansion of 1 in k
1554048240.827 * [backup-simplify]: Simplify 1 into 1
1554048240.827 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554048240.827 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554048240.827 * [taylor]: Taking taylor expansion of -2 in k
1554048240.827 * [backup-simplify]: Simplify -2 into -2
1554048240.827 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048240.827 * [taylor]: Taking taylor expansion of PI in k
1554048240.827 * [backup-simplify]: Simplify PI into PI
1554048240.827 * [taylor]: Taking taylor expansion of n in k
1554048240.827 * [backup-simplify]: Simplify n into n
1554048240.827 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048240.827 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554048240.827 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554048240.828 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048240.828 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554048240.828 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1554048240.828 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554048240.828 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1554048240.828 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1554048240.828 * [taylor]: Taking taylor expansion of -1 in k
1554048240.828 * [backup-simplify]: Simplify -1 into -1
1554048240.828 * [taylor]: Taking taylor expansion of k in k
1554048240.829 * [backup-simplify]: Simplify 0 into 0
1554048240.829 * [backup-simplify]: Simplify 1 into 1
1554048240.829 * [backup-simplify]: Simplify (/ -1 1) into -1
1554048240.829 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048240.831 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554048240.831 * [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)))))
1554048240.831 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1554048240.831 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554048240.831 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048240.831 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048240.831 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554048240.831 * [taylor]: Taking taylor expansion of 1/2 in n
1554048240.831 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.831 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048240.831 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048240.831 * [taylor]: Taking taylor expansion of k in n
1554048240.831 * [backup-simplify]: Simplify k into k
1554048240.831 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048240.831 * [taylor]: Taking taylor expansion of 1 in n
1554048240.831 * [backup-simplify]: Simplify 1 into 1
1554048240.831 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048240.831 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048240.832 * [taylor]: Taking taylor expansion of -2 in n
1554048240.832 * [backup-simplify]: Simplify -2 into -2
1554048240.832 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048240.832 * [taylor]: Taking taylor expansion of PI in n
1554048240.832 * [backup-simplify]: Simplify PI into PI
1554048240.832 * [taylor]: Taking taylor expansion of n in n
1554048240.832 * [backup-simplify]: Simplify 0 into 0
1554048240.832 * [backup-simplify]: Simplify 1 into 1
1554048240.832 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048240.833 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048240.834 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048240.834 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048240.834 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554048240.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048240.836 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048240.837 * [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)))))
1554048240.837 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1554048240.837 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1554048240.837 * [taylor]: Taking taylor expansion of -1 in n
1554048240.838 * [backup-simplify]: Simplify -1 into -1
1554048240.838 * [taylor]: Taking taylor expansion of k in n
1554048240.838 * [backup-simplify]: Simplify k into k
1554048240.838 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1554048240.838 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1554048240.838 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1554048240.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1554048240.839 * [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)))
1554048240.839 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1554048240.839 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554048240.839 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048240.839 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048240.839 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554048240.839 * [taylor]: Taking taylor expansion of 1/2 in n
1554048240.839 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.839 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048240.839 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048240.839 * [taylor]: Taking taylor expansion of k in n
1554048240.840 * [backup-simplify]: Simplify k into k
1554048240.840 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048240.840 * [taylor]: Taking taylor expansion of 1 in n
1554048240.840 * [backup-simplify]: Simplify 1 into 1
1554048240.840 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048240.840 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048240.840 * [taylor]: Taking taylor expansion of -2 in n
1554048240.840 * [backup-simplify]: Simplify -2 into -2
1554048240.840 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048240.840 * [taylor]: Taking taylor expansion of PI in n
1554048240.840 * [backup-simplify]: Simplify PI into PI
1554048240.840 * [taylor]: Taking taylor expansion of n in n
1554048240.840 * [backup-simplify]: Simplify 0 into 0
1554048240.840 * [backup-simplify]: Simplify 1 into 1
1554048240.840 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048240.841 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048240.842 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048240.842 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048240.842 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554048240.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048240.845 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048240.846 * [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)))))
1554048240.846 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1554048240.846 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1554048240.846 * [taylor]: Taking taylor expansion of -1 in n
1554048240.846 * [backup-simplify]: Simplify -1 into -1
1554048240.846 * [taylor]: Taking taylor expansion of k in n
1554048240.846 * [backup-simplify]: Simplify k into k
1554048240.846 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1554048240.846 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1554048240.847 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1554048240.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1554048240.848 * [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)))
1554048240.848 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
1554048240.848 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554048240.848 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554048240.848 * [taylor]: Taking taylor expansion of 1/2 in k
1554048240.848 * [backup-simplify]: Simplify 1/2 into 1/2
1554048240.848 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554048240.848 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048240.848 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048240.848 * [taylor]: Taking taylor expansion of k in k
1554048240.848 * [backup-simplify]: Simplify 0 into 0
1554048240.848 * [backup-simplify]: Simplify 1 into 1
1554048240.849 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048240.849 * [taylor]: Taking taylor expansion of 1 in k
1554048240.849 * [backup-simplify]: Simplify 1 into 1
1554048240.849 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554048240.849 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554048240.849 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554048240.849 * [taylor]: Taking taylor expansion of -2 in k
1554048240.849 * [backup-simplify]: Simplify -2 into -2
1554048240.849 * [taylor]: Taking taylor expansion of PI in k
1554048240.849 * [backup-simplify]: Simplify PI into PI
1554048240.849 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048240.850 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048240.850 * [taylor]: Taking taylor expansion of (log n) in k
1554048240.850 * [taylor]: Taking taylor expansion of n in k
1554048240.850 * [backup-simplify]: Simplify n into n
1554048240.851 * [backup-simplify]: Simplify (log n) into (log n)
1554048240.851 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048240.851 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048240.852 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554048240.853 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554048240.854 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1554048240.855 * [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)))))
1554048240.855 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1554048240.855 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1554048240.855 * [taylor]: Taking taylor expansion of -1 in k
1554048240.855 * [backup-simplify]: Simplify -1 into -1
1554048240.855 * [taylor]: Taking taylor expansion of k in k
1554048240.855 * [backup-simplify]: Simplify 0 into 0
1554048240.855 * [backup-simplify]: Simplify 1 into 1
1554048240.856 * [backup-simplify]: Simplify (/ -1 1) into -1
1554048240.856 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048240.858 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554048240.859 * [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))))))
1554048240.860 * [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))))))
1554048240.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048240.862 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554048240.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554048240.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048240.865 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1554048240.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048240.868 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554048240.870 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048240.871 * [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
1554048240.872 * [taylor]: Taking taylor expansion of 0 in k
1554048240.872 * [backup-simplify]: Simplify 0 into 0
1554048240.872 * [backup-simplify]: Simplify 0 into 0
1554048240.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1554048240.876 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554048240.878 * [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)))))))
1554048240.879 * [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)))))))
1554048240.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.881 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048240.883 * [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
1554048240.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048240.883 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048240.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554048240.885 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048240.886 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554048240.887 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048240.887 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048240.888 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1554048240.888 * [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
1554048240.888 * [taylor]: Taking taylor expansion of 0 in k
1554048240.888 * [backup-simplify]: Simplify 0 into 0
1554048240.888 * [backup-simplify]: Simplify 0 into 0
1554048240.888 * [backup-simplify]: Simplify 0 into 0
1554048240.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048240.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554048240.894 * [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)))))))
1554048240.894 * [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)))))))
1554048240.897 * [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))))))))))))
1554048240.897 * * * [progress]: simplifying candidates
1554048240.897 * * * * [progress]: [ 1 / 197 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))>
1554048240.897 * * * * [progress]: [ 2 / 197 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))>
1554048240.897 * * * * [progress]: [ 3 / 197 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554048240.897 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))
1554048240.898 * * [simplify]: iters left: 6 (13 enodes)
1554048240.901 * * [simplify]: iters left: 5 (54 enodes)
1554048240.912 * * [simplify]: iters left: 4 (97 enodes)
1554048240.944 * * [simplify]: iters left: 3 (250 enodes)
1554048241.046 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.046 * * [simplify]: Extracting #1: cost 34 inf + 0
1554048241.047 * * [simplify]: Extracting #2: cost 100 inf + 73
1554048241.048 * * [simplify]: Extracting #3: cost 126 inf + 1867
1554048241.051 * * [simplify]: Extracting #4: cost 46 inf + 20363
1554048241.057 * * [simplify]: Extracting #5: cost 5 inf + 31901
1554048241.065 * * [simplify]: Extracting #6: cost 0 inf + 33789
1554048241.072 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)
1554048241.072 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (/ 1 (sqrt k))))
1554048241.072 * * * * [progress]: [ 4 / 197 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554048241.072 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))
1554048241.072 * * [simplify]: iters left: 6 (12 enodes)
1554048241.077 * * [simplify]: iters left: 5 (52 enodes)
1554048241.086 * * [simplify]: iters left: 4 (90 enodes)
1554048241.112 * * [simplify]: iters left: 3 (207 enodes)
1554048241.225 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.225 * * [simplify]: Extracting #1: cost 29 inf + 0
1554048241.225 * * [simplify]: Extracting #2: cost 88 inf + 73
1554048241.226 * * [simplify]: Extracting #3: cost 117 inf + 443
1554048241.227 * * [simplify]: Extracting #4: cost 77 inf + 5789
1554048241.231 * * [simplify]: Extracting #5: cost 28 inf + 17508
1554048241.239 * * [simplify]: Extracting #6: cost 0 inf + 26056
1554048241.244 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)
1554048241.244 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (/ 1 (sqrt k))))
1554048241.244 * * * * [progress]: [ 5 / 197 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554048241.245 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
1554048241.245 * * [simplify]: iters left: 6 (11 enodes)
1554048241.248 * * [simplify]: iters left: 5 (51 enodes)
1554048241.261 * * [simplify]: iters left: 4 (97 enodes)
1554048241.295 * * [simplify]: iters left: 3 (201 enodes)
1554048241.346 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.347 * * [simplify]: Extracting #1: cost 31 inf + 0
1554048241.347 * * [simplify]: Extracting #2: cost 94 inf + 2
1554048241.347 * * [simplify]: Extracting #3: cost 127 inf + 355
1554048241.349 * * [simplify]: Extracting #4: cost 75 inf + 7402
1554048241.355 * * [simplify]: Extracting #5: cost 31 inf + 16283
1554048241.365 * * [simplify]: Extracting #6: cost 3 inf + 23308
1554048241.375 * * [simplify]: Extracting #7: cost 0 inf + 24140
1554048241.386 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)
1554048241.386 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (/ 1 (sqrt k))))
1554048241.387 * * * * [progress]: [ 6 / 197 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554048241.387 * * * * [progress]: [ 7 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554048241.387 * [simplify]: Simplifying (* n (* 2 PI))
1554048241.387 * * [simplify]: iters left: 4 (5 enodes)
1554048241.390 * * [simplify]: iters left: 3 (19 enodes)
1554048241.396 * * [simplify]: iters left: 2 (27 enodes)
1554048241.403 * * [simplify]: iters left: 1 (32 enodes)
1554048241.407 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.407 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048241.407 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048241.407 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048241.407 * [simplify]: Simplified to (* (* PI 2) n)
1554048241.407 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k))))
1554048241.407 * * * * [progress]: [ 8 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554048241.407 * [simplify]: Simplifying (* n (* 2 PI))
1554048241.407 * * [simplify]: iters left: 4 (5 enodes)
1554048241.409 * * [simplify]: iters left: 3 (19 enodes)
1554048241.412 * * [simplify]: iters left: 2 (27 enodes)
1554048241.416 * * [simplify]: iters left: 1 (32 enodes)
1554048241.420 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.420 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048241.420 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048241.420 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048241.420 * [simplify]: Simplified to (* (* PI 2) n)
1554048241.420 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k))))
1554048241.420 * * * * [progress]: [ 9 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554048241.421 * [simplify]: Simplifying (* n (* 2 PI))
1554048241.421 * * [simplify]: iters left: 4 (5 enodes)
1554048241.422 * * [simplify]: iters left: 3 (19 enodes)
1554048241.425 * * [simplify]: iters left: 2 (27 enodes)
1554048241.434 * * [simplify]: iters left: 1 (32 enodes)
1554048241.442 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.442 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048241.442 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048241.443 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048241.443 * [simplify]: Simplified to (* (* PI 2) n)
1554048241.443 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k))))
1554048241.443 * * * * [progress]: [ 10 / 197 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (/ 1 (sqrt k))))>
1554048241.444 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2))
1554048241.444 * * [simplify]: iters left: 5 (8 enodes)
1554048241.448 * * [simplify]: iters left: 4 (31 enodes)
1554048241.458 * * [simplify]: iters left: 3 (51 enodes)
1554048241.475 * * [simplify]: iters left: 2 (85 enodes)
1554048241.503 * * [simplify]: iters left: 1 (152 enodes)
1554048241.560 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.561 * * [simplify]: Extracting #1: cost 13 inf + 0
1554048241.561 * * [simplify]: Extracting #2: cost 59 inf + 1
1554048241.561 * * [simplify]: Extracting #3: cost 76 inf + 9
1554048241.562 * * [simplify]: Extracting #4: cost 41 inf + 3303
1554048241.565 * * [simplify]: Extracting #5: cost 16 inf + 10676
1554048241.573 * * [simplify]: Extracting #6: cost 0 inf + 21028
1554048241.578 * * [simplify]: Extracting #7: cost 0 inf + 20456
1554048241.584 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1554048241.584 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ 1 (sqrt k))))
1554048241.584 * * * * [progress]: [ 11 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554048241.584 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2))
1554048241.584 * * [simplify]: iters left: 5 (6 enodes)
1554048241.589 * * [simplify]: iters left: 4 (26 enodes)
1554048241.597 * * [simplify]: iters left: 3 (35 enodes)
1554048241.608 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.608 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048241.608 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048241.608 * * [simplify]: Extracting #3: cost 11 inf + 2
1554048241.608 * * [simplify]: Extracting #4: cost 8 inf + 87
1554048241.608 * * [simplify]: Extracting #5: cost 2 inf + 500
1554048241.609 * * [simplify]: Extracting #6: cost 0 inf + 746
1554048241.609 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2))
1554048241.609 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ 1 (sqrt k))))
1554048241.609 * * * * [progress]: [ 12 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554048241.609 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2))
1554048241.609 * * [simplify]: iters left: 5 (6 enodes)
1554048241.611 * * [simplify]: iters left: 4 (26 enodes)
1554048241.616 * * [simplify]: iters left: 3 (35 enodes)
1554048241.621 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.621 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048241.621 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048241.621 * * [simplify]: Extracting #3: cost 11 inf + 2
1554048241.621 * * [simplify]: Extracting #4: cost 8 inf + 87
1554048241.621 * * [simplify]: Extracting #5: cost 2 inf + 460
1554048241.621 * * [simplify]: Extracting #6: cost 0 inf + 666
1554048241.621 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2))
1554048241.621 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ 1 (sqrt k))))
1554048241.622 * * * * [progress]: [ 13 / 197 ] 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))) (/ 1 (sqrt k))))>
1554048241.622 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2))
1554048241.622 * * [simplify]: iters left: 5 (7 enodes)
1554048241.624 * * [simplify]: iters left: 4 (25 enodes)
1554048241.628 * * [simplify]: iters left: 3 (30 enodes)
1554048241.633 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.633 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048241.633 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048241.633 * * [simplify]: Extracting #3: cost 10 inf + 82
1554048241.633 * * [simplify]: Extracting #4: cost 7 inf + 206
1554048241.633 * * [simplify]: Extracting #5: cost 2 inf + 575
1554048241.634 * * [simplify]: Extracting #6: cost 1 inf + 818
1554048241.634 * * [simplify]: Extracting #7: cost 0 inf + 1061
1554048241.634 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2))
1554048241.634 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k))))
1554048241.634 * * * * [progress]: [ 14 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k))))>
1554048241.634 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2))
1554048241.634 * * [simplify]: iters left: 5 (7 enodes)
1554048241.637 * * [simplify]: iters left: 4 (25 enodes)
1554048241.641 * * [simplify]: iters left: 3 (30 enodes)
1554048241.650 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.650 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048241.650 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048241.650 * * [simplify]: Extracting #3: cost 10 inf + 42
1554048241.651 * * [simplify]: Extracting #4: cost 7 inf + 126
1554048241.651 * * [simplify]: Extracting #5: cost 2 inf + 495
1554048241.651 * * [simplify]: Extracting #6: cost 1 inf + 698
1554048241.651 * * [simplify]: Extracting #7: cost 0 inf + 901
1554048241.652 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2))
1554048241.652 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k))))
1554048241.652 * * * * [progress]: [ 15 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (/ 1 (sqrt k))))>
1554048241.652 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2)
1554048241.652 * * [simplify]: iters left: 5 (6 enodes)
1554048241.656 * * [simplify]: iters left: 4 (22 enodes)
1554048241.663 * * [simplify]: iters left: 3 (27 enodes)
1554048241.672 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.672 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048241.672 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048241.672 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048241.672 * * [simplify]: Extracting #4: cost 8 inf + 3
1554048241.672 * * [simplify]: Extracting #5: cost 4 inf + 169
1554048241.672 * * [simplify]: Extracting #6: cost 1 inf + 576
1554048241.673 * * [simplify]: Extracting #7: cost 0 inf + 739
1554048241.673 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
1554048241.673 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (/ 1 (sqrt k))))
1554048241.673 * * * * [progress]: [ 16 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k))))>
1554048241.673 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2))
1554048241.674 * * [simplify]: iters left: 5 (7 enodes)
1554048241.678 * * [simplify]: iters left: 4 (25 enodes)
1554048241.684 * * [simplify]: iters left: 3 (30 enodes)
1554048241.689 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.689 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048241.689 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048241.689 * * [simplify]: Extracting #3: cost 10 inf + 82
1554048241.689 * * [simplify]: Extracting #4: cost 7 inf + 206
1554048241.689 * * [simplify]: Extracting #5: cost 2 inf + 495
1554048241.689 * * [simplify]: Extracting #6: cost 1 inf + 698
1554048241.689 * * [simplify]: Extracting #7: cost 0 inf + 901
1554048241.691 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2))
1554048241.691 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k))))
1554048241.691 * * * * [progress]: [ 17 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k))))>
1554048241.692 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2))
1554048241.692 * * [simplify]: iters left: 5 (7 enodes)
1554048241.694 * * [simplify]: iters left: 4 (25 enodes)
1554048241.699 * * [simplify]: iters left: 3 (30 enodes)
1554048241.704 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.704 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048241.704 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048241.704 * * [simplify]: Extracting #3: cost 10 inf + 42
1554048241.704 * * [simplify]: Extracting #4: cost 7 inf + 126
1554048241.704 * * [simplify]: Extracting #5: cost 2 inf + 415
1554048241.704 * * [simplify]: Extracting #6: cost 1 inf + 578
1554048241.704 * * [simplify]: Extracting #7: cost 0 inf + 741
1554048241.704 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2))
1554048241.705 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k))))
1554048241.705 * * * * [progress]: [ 18 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ 1 (sqrt k))))>
1554048241.705 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2)
1554048241.705 * * [simplify]: iters left: 5 (6 enodes)
1554048241.707 * * [simplify]: iters left: 4 (22 enodes)
1554048241.712 * * [simplify]: iters left: 3 (27 enodes)
1554048241.720 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.720 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048241.720 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048241.720 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048241.720 * * [simplify]: Extracting #4: cost 8 inf + 3
1554048241.720 * * [simplify]: Extracting #5: cost 4 inf + 169
1554048241.721 * * [simplify]: Extracting #6: cost 1 inf + 456
1554048241.721 * * [simplify]: Extracting #7: cost 0 inf + 579
1554048241.721 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
1554048241.721 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ 1 (sqrt k))))
1554048241.721 * * * * [progress]: [ 19 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k))))>
1554048241.722 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
1554048241.722 * * [simplify]: iters left: 4 (6 enodes)
1554048241.726 * * [simplify]: iters left: 3 (25 enodes)
1554048241.735 * * [simplify]: iters left: 2 (36 enodes)
1554048241.747 * * [simplify]: iters left: 1 (40 enodes)
1554048241.758 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.759 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048241.759 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048241.759 * * [simplify]: Extracting #3: cost 13 inf + 44
1554048241.759 * * [simplify]: Extracting #4: cost 3 inf + 1103
1554048241.760 * * [simplify]: Extracting #5: cost 0 inf + 1469
1554048241.760 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
1554048241.760 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k))))
1554048241.760 * * * * [progress]: [ 20 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k))))>
1554048241.761 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
1554048241.761 * * [simplify]: iters left: 4 (6 enodes)
1554048241.765 * * [simplify]: iters left: 3 (25 enodes)
1554048241.770 * * [simplify]: iters left: 2 (36 enodes)
1554048241.776 * * [simplify]: iters left: 1 (40 enodes)
1554048241.782 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.782 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048241.782 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048241.783 * * [simplify]: Extracting #3: cost 13 inf + 44
1554048241.783 * * [simplify]: Extracting #4: cost 3 inf + 823
1554048241.783 * * [simplify]: Extracting #5: cost 0 inf + 1069
1554048241.783 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
1554048241.783 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k))))
1554048241.783 * * * * [progress]: [ 21 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048241.784 * [simplify]: Simplifying (/ (- 1 k) 2)
1554048241.784 * * [simplify]: iters left: 4 (5 enodes)
1554048241.785 * * [simplify]: iters left: 3 (23 enodes)
1554048241.790 * * [simplify]: iters left: 2 (32 enodes)
1554048241.797 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.797 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048241.797 * * [simplify]: Extracting #2: cost 9 inf + 2
1554048241.797 * * [simplify]: Extracting #3: cost 6 inf + 87
1554048241.797 * * [simplify]: Extracting #4: cost 0 inf + 420
1554048241.798 * [simplify]: Simplified to (/ (- 1 k) 2)
1554048241.798 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048241.798 * * * * [progress]: [ 22 / 197 ] 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))) (/ 1 (sqrt k))))>
1554048241.798 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2))
1554048241.798 * * [simplify]: iters left: 5 (8 enodes)
1554048241.804 * * [simplify]: iters left: 4 (31 enodes)
1554048241.816 * * [simplify]: iters left: 3 (45 enodes)
1554048241.830 * * [simplify]: iters left: 2 (51 enodes)
1554048241.844 * * [simplify]: iters left: 1 (52 enodes)
1554048241.856 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.856 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048241.856 * * [simplify]: Extracting #2: cost 18 inf + 0
1554048241.856 * * [simplify]: Extracting #3: cost 19 inf + 2
1554048241.857 * * [simplify]: Extracting #4: cost 9 inf + 977
1554048241.857 * * [simplify]: Extracting #5: cost 2 inf + 1790
1554048241.857 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554048241.858 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
1554048241.858 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k))))
1554048241.858 * * * * [progress]: [ 23 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (/ 1 (sqrt k))))>
1554048241.858 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2))
1554048241.858 * * [simplify]: iters left: 5 (8 enodes)
1554048241.861 * * [simplify]: iters left: 4 (31 enodes)
1554048241.867 * * [simplify]: iters left: 3 (45 enodes)
1554048241.873 * * [simplify]: iters left: 2 (51 enodes)
1554048241.884 * * [simplify]: iters left: 1 (52 enodes)
1554048241.898 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.898 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048241.899 * * [simplify]: Extracting #2: cost 18 inf + 0
1554048241.899 * * [simplify]: Extracting #3: cost 19 inf + 2
1554048241.899 * * [simplify]: Extracting #4: cost 9 inf + 697
1554048241.900 * * [simplify]: Extracting #5: cost 2 inf + 1390
1554048241.900 * * [simplify]: Extracting #6: cost 0 inf + 1715
1554048241.901 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
1554048241.901 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k))))
1554048241.901 * * * * [progress]: [ 24 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (/ 1 (sqrt k))))>
1554048241.901 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2)
1554048241.901 * * [simplify]: iters left: 5 (7 enodes)
1554048241.904 * * [simplify]: iters left: 4 (29 enodes)
1554048241.909 * * [simplify]: iters left: 3 (43 enodes)
1554048241.915 * * [simplify]: iters left: 2 (47 enodes)
1554048241.921 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.921 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048241.921 * * [simplify]: Extracting #2: cost 11 inf + 2
1554048241.921 * * [simplify]: Extracting #3: cost 13 inf + 3
1554048241.921 * * [simplify]: Extracting #4: cost 11 inf + 45
1554048241.921 * * [simplify]: Extracting #5: cost 0 inf + 1066
1554048241.921 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554048241.921 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k))))
1554048241.922 * * * * [progress]: [ 25 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k))))>
1554048241.922 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2))
1554048241.922 * * [simplify]: iters left: 5 (7 enodes)
1554048241.926 * * [simplify]: iters left: 4 (28 enodes)
1554048241.932 * * [simplify]: iters left: 3 (39 enodes)
1554048241.941 * * [simplify]: iters left: 2 (43 enodes)
1554048241.947 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.948 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048241.948 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048241.948 * * [simplify]: Extracting #3: cost 15 inf + 164
1554048241.948 * * [simplify]: Extracting #4: cost 13 inf + 287
1554048241.948 * * [simplify]: Extracting #5: cost 5 inf + 1180
1554048241.948 * * [simplify]: Extracting #6: cost 0 inf + 1951
1554048241.949 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
1554048241.949 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k))))
1554048241.949 * * * * [progress]: [ 26 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k))))>
1554048241.949 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2))
1554048241.949 * * [simplify]: iters left: 5 (7 enodes)
1554048241.951 * * [simplify]: iters left: 4 (28 enodes)
1554048241.956 * * [simplify]: iters left: 3 (39 enodes)
1554048241.963 * * [simplify]: iters left: 2 (43 enodes)
1554048241.973 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.973 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048241.973 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048241.973 * * [simplify]: Extracting #3: cost 15 inf + 84
1554048241.973 * * [simplify]: Extracting #4: cost 13 inf + 167
1554048241.974 * * [simplify]: Extracting #5: cost 5 inf + 900
1554048241.974 * * [simplify]: Extracting #6: cost 0 inf + 1551
1554048241.975 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
1554048241.975 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k))))
1554048241.975 * * * * [progress]: [ 27 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k))))>
1554048241.975 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2)
1554048241.975 * * [simplify]: iters left: 5 (6 enodes)
1554048241.979 * * [simplify]: iters left: 4 (26 enodes)
1554048241.988 * * [simplify]: iters left: 3 (35 enodes)
1554048241.998 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048241.999 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048241.999 * * [simplify]: Extracting #2: cost 9 inf + 2
1554048241.999 * * [simplify]: Extracting #3: cost 11 inf + 3
1554048241.999 * * [simplify]: Extracting #4: cost 10 inf + 4
1554048241.999 * * [simplify]: Extracting #5: cost 3 inf + 535
1554048242.000 * * [simplify]: Extracting #6: cost 0 inf + 822
1554048242.000 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554048242.000 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k))))
1554048242.000 * * * * [progress]: [ 28 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k))))>
1554048242.001 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
1554048242.001 * * [simplify]: iters left: 4 (6 enodes)
1554048242.005 * * [simplify]: iters left: 3 (25 enodes)
1554048242.014 * * [simplify]: iters left: 2 (36 enodes)
1554048242.025 * * [simplify]: iters left: 1 (40 enodes)
1554048242.031 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.031 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048242.032 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048242.032 * * [simplify]: Extracting #3: cost 13 inf + 44
1554048242.032 * * [simplify]: Extracting #4: cost 3 inf + 1103
1554048242.032 * * [simplify]: Extracting #5: cost 0 inf + 1469
1554048242.032 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
1554048242.032 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k))))
1554048242.032 * * * * [progress]: [ 29 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k))))>
1554048242.033 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
1554048242.033 * * [simplify]: iters left: 4 (6 enodes)
1554048242.035 * * [simplify]: iters left: 3 (25 enodes)
1554048242.039 * * [simplify]: iters left: 2 (36 enodes)
1554048242.047 * * [simplify]: iters left: 1 (40 enodes)
1554048242.057 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.057 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048242.057 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048242.058 * * [simplify]: Extracting #3: cost 13 inf + 44
1554048242.058 * * [simplify]: Extracting #4: cost 3 inf + 823
1554048242.058 * * [simplify]: Extracting #5: cost 0 inf + 1069
1554048242.059 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
1554048242.059 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k))))
1554048242.059 * * * * [progress]: [ 30 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048242.060 * [simplify]: Simplifying (/ (- 1 k) 2)
1554048242.060 * * [simplify]: iters left: 4 (5 enodes)
1554048242.064 * * [simplify]: iters left: 3 (23 enodes)
1554048242.072 * * [simplify]: iters left: 2 (32 enodes)
1554048242.082 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.082 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048242.082 * * [simplify]: Extracting #2: cost 9 inf + 2
1554048242.082 * * [simplify]: Extracting #3: cost 6 inf + 87
1554048242.082 * * [simplify]: Extracting #4: cost 0 inf + 420
1554048242.083 * [simplify]: Simplified to (/ (- 1 k) 2)
1554048242.083 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048242.083 * * * * [progress]: [ 31 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048242.083 * [simplify]: Simplifying (/ (- 1 k) 2)
1554048242.083 * * [simplify]: iters left: 4 (5 enodes)
1554048242.087 * * [simplify]: iters left: 3 (23 enodes)
1554048242.095 * * [simplify]: iters left: 2 (32 enodes)
1554048242.105 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.105 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048242.105 * * [simplify]: Extracting #2: cost 9 inf + 2
1554048242.105 * * [simplify]: Extracting #3: cost 6 inf + 87
1554048242.105 * * [simplify]: Extracting #4: cost 0 inf + 420
1554048242.105 * [simplify]: Simplified to (/ (- 1 k) 2)
1554048242.105 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048242.105 * * * * [progress]: [ 32 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)) (/ 1 (sqrt k))))>
1554048242.106 * [simplify]: Simplifying (/ 1 2)
1554048242.106 * * [simplify]: iters left: 2 (3 enodes)
1554048242.107 * * [simplify]: iters left: 1 (12 enodes)
1554048242.110 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.110 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048242.110 * [simplify]: Simplified to 1/2
1554048242.110 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (/ 1 (sqrt k))))
1554048242.110 * * * * [progress]: [ 33 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554048242.110 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
1554048242.110 * * [simplify]: iters left: 5 (7 enodes)
1554048242.113 * * [simplify]: iters left: 4 (32 enodes)
1554048242.118 * * [simplify]: iters left: 3 (57 enodes)
1554048242.128 * * [simplify]: iters left: 2 (88 enodes)
1554048242.150 * * [simplify]: iters left: 1 (156 enodes)
1554048242.199 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.199 * * [simplify]: Extracting #1: cost 13 inf + 0
1554048242.199 * * [simplify]: Extracting #2: cost 49 inf + 2
1554048242.199 * * [simplify]: Extracting #3: cost 80 inf + 6
1554048242.200 * * [simplify]: Extracting #4: cost 58 inf + 1840
1554048242.201 * * [simplify]: Extracting #5: cost 22 inf + 9206
1554048242.204 * * [simplify]: Extracting #6: cost 1 inf + 20886
1554048242.209 * * [simplify]: Extracting #7: cost 0 inf + 21301
1554048242.216 * * [simplify]: Extracting #8: cost 0 inf + 21130
1554048242.221 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
1554048242.222 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k))))
1554048242.222 * * * * [progress]: [ 34 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k))))>
1554048242.222 * * * * [progress]: [ 35 / 197 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))>
1554048242.222 * * * * [progress]: [ 36 / 197 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))>
1554048242.222 * * * * [progress]: [ 37 / 197 ] 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)))) (/ 1 (sqrt k))))>
1554048242.222 * * * * [progress]: [ 38 / 197 ] 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)))) (/ 1 (sqrt k))))>
1554048242.222 * * * * [progress]: [ 39 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))>
1554048242.222 * * * * [progress]: [ 40 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
1554048242.222 * * * * [progress]: [ 41 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ 1 (sqrt k))))>
1554048242.222 * * * * [progress]: [ 42 / 197 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))>
1554048242.222 * * * * [progress]: [ 43 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (log1p (expm1 (/ 1 (sqrt k))))))>
1554048242.222 * * * * [progress]: [ 44 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (expm1 (log1p (/ 1 (sqrt k))))))>
1554048242.223 * * * * [progress]: [ 45 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1)))>
1554048242.223 * * * * [progress]: [ 46 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (- 1/2))))>
1554048242.223 * [simplify]: Simplifying (- 1/2)
1554048242.223 * * [simplify]: iters left: 2 (2 enodes)
1554048242.225 * * [simplify]: iters left: 1 (7 enodes)
1554048242.228 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.228 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048242.228 * [simplify]: Simplified to -1/2
1554048242.228 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))
1554048242.228 * * * * [progress]: [ 47 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) (- 1))))>
1554048242.228 * [simplify]: Simplifying (- 1)
1554048242.228 * * [simplify]: iters left: 2 (2 enodes)
1554048242.230 * * [simplify]: iters left: 1 (9 enodes)
1554048242.233 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.233 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048242.233 * [simplify]: Simplified to -1
1554048242.234 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1)))
1554048242.234 * * * * [progress]: [ 48 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (- (/ 1 2)))))>
1554048242.234 * [simplify]: Simplifying (- (/ 1 2))
1554048242.234 * * [simplify]: iters left: 4 (4 enodes)
1554048242.239 * * [simplify]: iters left: 3 (19 enodes)
1554048242.245 * * [simplify]: iters left: 2 (23 enodes)
1554048242.251 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.251 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048242.251 * [simplify]: Simplified to -1/2
1554048242.251 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))
1554048242.252 * * * * [progress]: [ 49 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (/ 1 (sqrt k)) 1)))>
1554048242.252 * * * * [progress]: [ 50 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k))))))>
1554048242.252 * * * * [progress]: [ 51 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- 0 (log (sqrt k))))))>
1554048242.252 * [simplify]: Simplifying (- 0 (log (sqrt k)))
1554048242.252 * * [simplify]: iters left: 4 (5 enodes)
1554048242.255 * * [simplify]: iters left: 3 (17 enodes)
1554048242.261 * * [simplify]: iters left: 2 (21 enodes)
1554048242.267 * * [simplify]: iters left: 1 (23 enodes)
1554048242.274 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.274 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.274 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.274 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.274 * * [simplify]: Extracting #4: cost 0 inf + 608
1554048242.275 * [simplify]: Simplified to (- (log (sqrt k)))
1554048242.275 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k))))))
1554048242.275 * * * * [progress]: [ 52 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log 1) (log (sqrt k))))))>
1554048242.275 * [simplify]: Simplifying (- (log 1) (log (sqrt k)))
1554048242.275 * * [simplify]: iters left: 4 (6 enodes)
1554048242.279 * * [simplify]: iters left: 3 (22 enodes)
1554048242.288 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.288 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.289 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.289 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.289 * * [simplify]: Extracting #4: cost 6 inf + 2
1554048242.289 * * [simplify]: Extracting #5: cost 1 inf + 457
1554048242.289 * * [simplify]: Extracting #6: cost 0 inf + 608
1554048242.289 * [simplify]: Simplified to (- (log (sqrt k)))
1554048242.290 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k))))))
1554048242.290 * * * * [progress]: [ 53 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (log (/ 1 (sqrt k))))))>
1554048242.290 * * * * [progress]: [ 54 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (log (exp (/ 1 (sqrt k))))))>
1554048242.290 * * * * [progress]: [ 55 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
1554048242.290 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1554048242.290 * * [simplify]: iters left: 6 (8 enodes)
1554048242.295 * * [simplify]: iters left: 5 (26 enodes)
1554048242.302 * * [simplify]: iters left: 4 (43 enodes)
1554048242.310 * * [simplify]: iters left: 3 (59 enodes)
1554048242.318 * * [simplify]: iters left: 2 (67 enodes)
1554048242.328 * * [simplify]: iters left: 1 (69 enodes)
1554048242.337 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.337 * * [simplify]: Extracting #1: cost 14 inf + 0
1554048242.337 * * [simplify]: Extracting #2: cost 18 inf + 2
1554048242.337 * * [simplify]: Extracting #3: cost 7 inf + 701
1554048242.337 * * [simplify]: Extracting #4: cost 0 inf + 1234
1554048242.338 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k))
1554048242.338 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ (/ 1 k) (sqrt k)))))
1554048242.338 * * * * [progress]: [ 56 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k))))))>
1554048242.338 * * * * [progress]: [ 57 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))))))>
1554048242.338 * * * * [progress]: [ 58 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k))))))>
1554048242.338 * * * * [progress]: [ 59 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (- 1) (- (sqrt k)))))>
1554048242.338 * * * * [progress]: [ 60 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k))))))>
1554048242.338 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048242.338 * * [simplify]: iters left: 6 (8 enodes)
1554048242.341 * * [simplify]: iters left: 5 (32 enodes)
1554048242.346 * * [simplify]: iters left: 4 (48 enodes)
1554048242.356 * * [simplify]: iters left: 3 (76 enodes)
1554048242.378 * * [simplify]: iters left: 2 (81 enodes)
1554048242.392 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.393 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048242.393 * * [simplify]: Extracting #2: cost 9 inf + 1
1554048242.393 * * [simplify]: Extracting #3: cost 11 inf + 1
1554048242.393 * * [simplify]: Extracting #4: cost 2 inf + 1052
1554048242.393 * * [simplify]: Extracting #5: cost 0 inf + 1376
1554048242.394 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048242.394 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k))))))
1554048242.394 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k)))
1554048242.395 * * [simplify]: iters left: 4 (6 enodes)
1554048242.399 * * [simplify]: iters left: 3 (20 enodes)
1554048242.405 * * [simplify]: iters left: 2 (22 enodes)
1554048242.411 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.411 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.411 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.411 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.411 * * [simplify]: Extracting #4: cost 1 inf + 488
1554048242.412 * * [simplify]: Extracting #5: cost 0 inf + 650
1554048242.412 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k)))
1554048242.412 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))))
1554048242.412 * * * * [progress]: [ 61 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k))))))>
1554048242.412 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))
1554048242.413 * * [simplify]: iters left: 6 (8 enodes)
1554048242.418 * * [simplify]: iters left: 5 (29 enodes)
1554048242.426 * * [simplify]: iters left: 4 (31 enodes)
1554048242.431 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.431 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.431 * * [simplify]: Extracting #2: cost 6 inf + 1
1554048242.431 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048242.431 * * [simplify]: Extracting #4: cost 8 inf + 2
1554048242.431 * * [simplify]: Extracting #5: cost 2 inf + 729
1554048242.431 * * [simplify]: Extracting #6: cost 0 inf + 972
1554048242.431 * [simplify]: Simplified to (/ 1 (fabs (cbrt k)))
1554048242.431 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k))))))
1554048242.431 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k)))
1554048242.431 * * [simplify]: iters left: 4 (6 enodes)
1554048242.433 * * [simplify]: iters left: 3 (20 enodes)
1554048242.436 * * [simplify]: iters left: 2 (22 enodes)
1554048242.440 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.440 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.440 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.440 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.440 * * [simplify]: Extracting #4: cost 1 inf + 568
1554048242.440 * * [simplify]: Extracting #5: cost 0 inf + 730
1554048242.440 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k)))
1554048242.440 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))))
1554048242.440 * * * * [progress]: [ 62 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))))>
1554048242.440 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
1554048242.440 * * [simplify]: iters left: 5 (7 enodes)
1554048242.443 * * [simplify]: iters left: 4 (25 enodes)
1554048242.448 * * [simplify]: iters left: 3 (27 enodes)
1554048242.452 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.452 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.452 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.452 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.452 * * [simplify]: Extracting #4: cost 6 inf + 2
1554048242.452 * * [simplify]: Extracting #5: cost 2 inf + 368
1554048242.452 * * [simplify]: Extracting #6: cost 0 inf + 490
1554048242.452 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048242.452 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))))
1554048242.452 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k)))
1554048242.452 * * [simplify]: iters left: 4 (6 enodes)
1554048242.455 * * [simplify]: iters left: 3 (20 enodes)
1554048242.458 * * [simplify]: iters left: 2 (22 enodes)
1554048242.464 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.464 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.465 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.465 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.465 * * [simplify]: Extracting #4: cost 1 inf + 368
1554048242.465 * * [simplify]: Extracting #5: cost 0 inf + 490
1554048242.465 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048242.465 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554048242.465 * * * * [progress]: [ 63 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k)))))>
1554048242.466 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))
1554048242.466 * * [simplify]: iters left: 5 (5 enodes)
1554048242.475 * * [simplify]: iters left: 4 (19 enodes)
1554048242.481 * * [simplify]: iters left: 3 (21 enodes)
1554048242.485 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.485 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048242.485 * [simplify]: Simplified to 1
1554048242.485 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k)))))
1554048242.486 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k))
1554048242.486 * * [simplify]: iters left: 3 (5 enodes)
1554048242.490 * * [simplify]: iters left: 2 (17 enodes)
1554048242.495 * * [simplify]: iters left: 1 (19 enodes)
1554048242.500 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.500 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.500 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.500 * * [simplify]: Extracting #3: cost 0 inf + 248
1554048242.500 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048242.500 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554048242.500 * * * * [progress]: [ 64 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))))>
1554048242.501 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
1554048242.501 * * [simplify]: iters left: 5 (7 enodes)
1554048242.506 * * [simplify]: iters left: 4 (25 enodes)
1554048242.514 * * [simplify]: iters left: 3 (27 enodes)
1554048242.523 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.523 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.523 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.523 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.523 * * [simplify]: Extracting #4: cost 6 inf + 2
1554048242.523 * * [simplify]: Extracting #5: cost 2 inf + 368
1554048242.523 * * [simplify]: Extracting #6: cost 0 inf + 490
1554048242.523 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048242.523 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))))
1554048242.524 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k)))
1554048242.524 * * [simplify]: iters left: 4 (6 enodes)
1554048242.528 * * [simplify]: iters left: 3 (20 enodes)
1554048242.534 * * [simplify]: iters left: 2 (22 enodes)
1554048242.540 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.540 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.540 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.541 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.541 * * [simplify]: Extracting #4: cost 1 inf + 368
1554048242.541 * * [simplify]: Extracting #5: cost 0 inf + 490
1554048242.541 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048242.541 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554048242.541 * * * * [progress]: [ 65 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k)))))>
1554048242.542 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1)
1554048242.542 * * [simplify]: iters left: 5 (4 enodes)
1554048242.549 * * [simplify]: iters left: 4 (14 enodes)
1554048242.552 * * [simplify]: iters left: 3 (16 enodes)
1554048242.556 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.556 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048242.556 * [simplify]: Simplified to 1
1554048242.556 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k)))))
1554048242.556 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k))
1554048242.556 * * [simplify]: iters left: 3 (5 enodes)
1554048242.561 * * [simplify]: iters left: 2 (17 enodes)
1554048242.566 * * [simplify]: iters left: 1 (19 enodes)
1554048242.571 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.571 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.571 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.571 * * [simplify]: Extracting #3: cost 0 inf + 248
1554048242.571 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048242.571 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554048242.571 * * * * [progress]: [ 66 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k))))))>
1554048242.572 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048242.572 * * [simplify]: iters left: 6 (7 enodes)
1554048242.577 * * [simplify]: iters left: 5 (25 enodes)
1554048242.583 * * [simplify]: iters left: 4 (32 enodes)
1554048242.587 * * [simplify]: iters left: 3 (34 enodes)
1554048242.592 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.592 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048242.592 * * [simplify]: Extracting #2: cost 11 inf + 1
1554048242.592 * * [simplify]: Extracting #3: cost 13 inf + 1
1554048242.592 * * [simplify]: Extracting #4: cost 10 inf + 84
1554048242.592 * * [simplify]: Extracting #5: cost 4 inf + 1014
1554048242.593 * * [simplify]: Extracting #6: cost 1 inf + 1498
1554048242.593 * * [simplify]: Extracting #7: cost 0 inf + 1700
1554048242.593 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1554048242.593 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k))))))
1554048242.594 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k)))
1554048242.594 * * [simplify]: iters left: 4 (6 enodes)
1554048242.596 * * [simplify]: iters left: 3 (20 enodes)
1554048242.599 * * [simplify]: iters left: 2 (22 enodes)
1554048242.602 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.602 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.602 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.602 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.603 * * [simplify]: Extracting #4: cost 1 inf + 488
1554048242.603 * * [simplify]: Extracting #5: cost 0 inf + 650
1554048242.603 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k)))
1554048242.603 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))))
1554048242.603 * * * * [progress]: [ 67 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k))))))>
1554048242.603 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))
1554048242.603 * * [simplify]: iters left: 6 (7 enodes)
1554048242.606 * * [simplify]: iters left: 5 (24 enodes)
1554048242.609 * * [simplify]: iters left: 4 (26 enodes)
1554048242.616 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.617 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.617 * * [simplify]: Extracting #2: cost 6 inf + 1
1554048242.617 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048242.617 * * [simplify]: Extracting #4: cost 8 inf + 2
1554048242.617 * * [simplify]: Extracting #5: cost 2 inf + 730
1554048242.617 * * [simplify]: Extracting #6: cost 0 inf + 972
1554048242.617 * [simplify]: Simplified to (/ 1 (fabs (cbrt k)))
1554048242.617 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k))))))
1554048242.618 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k)))
1554048242.618 * * [simplify]: iters left: 4 (6 enodes)
1554048242.622 * * [simplify]: iters left: 3 (20 enodes)
1554048242.626 * * [simplify]: iters left: 2 (22 enodes)
1554048242.630 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.630 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.630 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.630 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.630 * * [simplify]: Extracting #4: cost 1 inf + 568
1554048242.630 * * [simplify]: Extracting #5: cost 0 inf + 730
1554048242.630 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k)))
1554048242.630 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))))
1554048242.630 * * * * [progress]: [ 68 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))))>
1554048242.630 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k)))
1554048242.630 * * [simplify]: iters left: 4 (6 enodes)
1554048242.632 * * [simplify]: iters left: 3 (20 enodes)
1554048242.636 * * [simplify]: iters left: 2 (22 enodes)
1554048242.639 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.639 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.639 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.639 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.639 * * [simplify]: Extracting #4: cost 1 inf + 368
1554048242.639 * * [simplify]: Extracting #5: cost 0 inf + 490
1554048242.639 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048242.639 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))))
1554048242.639 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k)))
1554048242.639 * * [simplify]: iters left: 4 (6 enodes)
1554048242.643 * * [simplify]: iters left: 3 (20 enodes)
1554048242.646 * * [simplify]: iters left: 2 (22 enodes)
1554048242.650 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.650 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.650 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.650 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.650 * * [simplify]: Extracting #4: cost 1 inf + 368
1554048242.650 * * [simplify]: Extracting #5: cost 0 inf + 490
1554048242.650 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048242.650 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554048242.650 * * * * [progress]: [ 69 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k)))))>
1554048242.651 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1))
1554048242.651 * * [simplify]: iters left: 3 (3 enodes)
1554048242.653 * * [simplify]: iters left: 2 (9 enodes)
1554048242.655 * * [simplify]: iters left: 1 (11 enodes)
1554048242.658 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.658 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048242.658 * [simplify]: Simplified to 1
1554048242.658 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k)))))
1554048242.659 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k))
1554048242.659 * * [simplify]: iters left: 3 (5 enodes)
1554048242.663 * * [simplify]: iters left: 2 (17 enodes)
1554048242.668 * * [simplify]: iters left: 1 (19 enodes)
1554048242.671 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.671 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.671 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.671 * * [simplify]: Extracting #3: cost 0 inf + 248
1554048242.671 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048242.671 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554048242.671 * * * * [progress]: [ 70 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))))>
1554048242.672 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k)))
1554048242.672 * * [simplify]: iters left: 4 (6 enodes)
1554048242.674 * * [simplify]: iters left: 3 (20 enodes)
1554048242.677 * * [simplify]: iters left: 2 (22 enodes)
1554048242.680 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.680 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.680 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.680 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.680 * * [simplify]: Extracting #4: cost 1 inf + 368
1554048242.680 * * [simplify]: Extracting #5: cost 0 inf + 490
1554048242.680 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048242.681 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))))
1554048242.681 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k)))
1554048242.681 * * [simplify]: iters left: 4 (6 enodes)
1554048242.683 * * [simplify]: iters left: 3 (20 enodes)
1554048242.687 * * [simplify]: iters left: 2 (22 enodes)
1554048242.690 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.690 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.690 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.690 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.690 * * [simplify]: Extracting #4: cost 1 inf + 368
1554048242.690 * * [simplify]: Extracting #5: cost 0 inf + 490
1554048242.691 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048242.691 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554048242.691 * * * * [progress]: [ 71 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k)))))>
1554048242.691 * [simplify]: Simplifying (/ (sqrt 1) 1)
1554048242.691 * * [simplify]: iters left: 3 (3 enodes)
1554048242.693 * * [simplify]: iters left: 2 (9 enodes)
1554048242.695 * * [simplify]: iters left: 1 (11 enodes)
1554048242.696 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.696 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048242.697 * [simplify]: Simplified to 1
1554048242.697 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k)))))
1554048242.697 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k))
1554048242.697 * * [simplify]: iters left: 3 (5 enodes)
1554048242.699 * * [simplify]: iters left: 2 (17 enodes)
1554048242.702 * * [simplify]: iters left: 1 (19 enodes)
1554048242.708 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.708 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.708 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.708 * * [simplify]: Extracting #3: cost 0 inf + 248
1554048242.708 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048242.708 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554048242.708 * * * * [progress]: [ 72 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))))>
1554048242.709 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048242.709 * * [simplify]: iters left: 6 (6 enodes)
1554048242.712 * * [simplify]: iters left: 5 (22 enodes)
1554048242.716 * * [simplify]: iters left: 4 (26 enodes)
1554048242.720 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.720 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048242.720 * * [simplify]: Extracting #2: cost 9 inf + 1
1554048242.720 * * [simplify]: Extracting #3: cost 11 inf + 1
1554048242.720 * * [simplify]: Extracting #4: cost 8 inf + 84
1554048242.720 * * [simplify]: Extracting #5: cost 2 inf + 1013
1554048242.720 * * [simplify]: Extracting #6: cost 0 inf + 1376
1554048242.721 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1554048242.721 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))))
1554048242.721 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k)))
1554048242.721 * * [simplify]: iters left: 4 (5 enodes)
1554048242.722 * * [simplify]: iters left: 3 (17 enodes)
1554048242.725 * * [simplify]: iters left: 2 (19 enodes)
1554048242.728 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.728 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.729 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.729 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.729 * * [simplify]: Extracting #4: cost 0 inf + 650
1554048242.729 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k)))
1554048242.729 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))))
1554048242.729 * * * * [progress]: [ 73 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k))))))>
1554048242.729 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k))))
1554048242.729 * * [simplify]: iters left: 6 (6 enodes)
1554048242.731 * * [simplify]: iters left: 5 (21 enodes)
1554048242.734 * * [simplify]: iters left: 4 (23 enodes)
1554048242.737 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.737 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.738 * * [simplify]: Extracting #2: cost 6 inf + 1
1554048242.738 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048242.738 * * [simplify]: Extracting #4: cost 8 inf + 2
1554048242.738 * * [simplify]: Extracting #5: cost 1 inf + 810
1554048242.738 * * [simplify]: Extracting #6: cost 0 inf + 972
1554048242.738 * [simplify]: Simplified to (/ 1 (fabs (cbrt k)))
1554048242.738 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))))
1554048242.738 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k)))
1554048242.738 * * [simplify]: iters left: 4 (5 enodes)
1554048242.740 * * [simplify]: iters left: 3 (17 enodes)
1554048242.744 * * [simplify]: iters left: 2 (19 enodes)
1554048242.750 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.750 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.750 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.750 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.750 * * [simplify]: Extracting #4: cost 0 inf + 730
1554048242.750 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k)))
1554048242.750 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))))
1554048242.750 * * * * [progress]: [ 74 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))>
1554048242.751 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554048242.751 * * [simplify]: iters left: 4 (5 enodes)
1554048242.753 * * [simplify]: iters left: 3 (17 enodes)
1554048242.759 * * [simplify]: iters left: 2 (19 enodes)
1554048242.764 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.764 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.764 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.764 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.764 * * [simplify]: Extracting #4: cost 0 inf + 490
1554048242.764 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048242.764 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554048242.765 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554048242.765 * * [simplify]: iters left: 4 (5 enodes)
1554048242.767 * * [simplify]: iters left: 3 (17 enodes)
1554048242.773 * * [simplify]: iters left: 2 (19 enodes)
1554048242.778 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.778 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.779 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.779 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.779 * * [simplify]: Extracting #4: cost 0 inf + 490
1554048242.779 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048242.779 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554048242.779 * * * * [progress]: [ 75 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt 1)) (/ 1 (sqrt k)))))>
1554048242.779 * [simplify]: Simplifying (/ 1 (sqrt 1))
1554048242.779 * * [simplify]: iters left: 3 (3 enodes)
1554048242.786 * * [simplify]: iters left: 2 (11 enodes)
1554048242.789 * * [simplify]: iters left: 1 (13 enodes)
1554048242.792 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.792 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048242.792 * [simplify]: Simplified to 1
1554048242.792 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554048242.792 * [simplify]: Simplifying (/ 1 (sqrt k))
1554048242.792 * * [simplify]: iters left: 3 (4 enodes)
1554048242.794 * * [simplify]: iters left: 2 (14 enodes)
1554048242.799 * * [simplify]: iters left: 1 (16 enodes)
1554048242.802 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.802 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.802 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.802 * * [simplify]: Extracting #3: cost 3 inf + 43
1554048242.803 * * [simplify]: Extracting #4: cost 1 inf + 166
1554048242.803 * * [simplify]: Extracting #5: cost 0 inf + 248
1554048242.803 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048242.803 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554048242.803 * * * * [progress]: [ 76 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))>
1554048242.803 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554048242.803 * * [simplify]: iters left: 4 (5 enodes)
1554048242.804 * * [simplify]: iters left: 3 (17 enodes)
1554048242.807 * * [simplify]: iters left: 2 (19 enodes)
1554048242.810 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.810 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.810 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.810 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.810 * * [simplify]: Extracting #4: cost 0 inf + 490
1554048242.810 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048242.810 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554048242.810 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554048242.810 * * [simplify]: iters left: 4 (5 enodes)
1554048242.812 * * [simplify]: iters left: 3 (17 enodes)
1554048242.814 * * [simplify]: iters left: 2 (19 enodes)
1554048242.817 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.817 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.817 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.817 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048242.817 * * [simplify]: Extracting #4: cost 0 inf + 490
1554048242.817 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048242.817 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))))
1554048242.817 * * * * [progress]: [ 77 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 1) (/ 1 (sqrt k)))))>
1554048242.818 * [simplify]: Simplifying (/ 1 1)
1554048242.818 * * [simplify]: iters left: 2 (2 enodes)
1554048242.818 * * [simplify]: iters left: 1 (6 enodes)
1554048242.819 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.819 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048242.819 * [simplify]: Simplified to 1
1554048242.820 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554048242.820 * [simplify]: Simplifying (/ 1 (sqrt k))
1554048242.820 * * [simplify]: iters left: 3 (4 enodes)
1554048242.821 * * [simplify]: iters left: 2 (14 enodes)
1554048242.823 * * [simplify]: iters left: 1 (16 enodes)
1554048242.825 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.825 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048242.825 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048242.825 * * [simplify]: Extracting #3: cost 3 inf + 43
1554048242.825 * * [simplify]: Extracting #4: cost 1 inf + 166
1554048242.826 * * [simplify]: Extracting #5: cost 0 inf + 248
1554048242.826 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048242.826 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))
1554048242.826 * * * * [progress]: [ 78 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))>
1554048242.826 * * * * [progress]: [ 79 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k)))))>
1554048242.826 * * * * [progress]: [ 80 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) 1))))>
1554048242.826 * * * * [progress]: [ 81 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))>
1554048242.826 * [simplify]: Simplifying (cbrt (sqrt k))
1554048242.826 * * [simplify]: iters left: 2 (3 enodes)
1554048242.827 * * [simplify]: iters left: 1 (9 enodes)
1554048242.828 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.828 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048242.828 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048242.828 * * [simplify]: Extracting #3: cost 4 inf + 1
1554048242.828 * * [simplify]: Extracting #4: cost 0 inf + 325
1554048242.828 * [simplify]: Simplified to (cbrt (sqrt k))
1554048242.828 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))
1554048242.828 * * * * [progress]: [ 82 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))))>
1554048242.828 * [simplify]: Simplifying (sqrt (cbrt k))
1554048242.828 * * [simplify]: iters left: 2 (3 enodes)
1554048242.829 * * [simplify]: iters left: 1 (9 enodes)
1554048242.830 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.830 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048242.830 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048242.830 * * [simplify]: Extracting #3: cost 4 inf + 1
1554048242.830 * * [simplify]: Extracting #4: cost 0 inf + 405
1554048242.830 * [simplify]: Simplified to (sqrt (cbrt k))
1554048242.830 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))))
1554048242.830 * * * * [progress]: [ 83 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))>
1554048242.830 * [simplify]: Simplifying (sqrt (sqrt k))
1554048242.830 * * [simplify]: iters left: 2 (3 enodes)
1554048242.831 * * [simplify]: iters left: 1 (9 enodes)
1554048242.832 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.832 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048242.832 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048242.832 * * [simplify]: Extracting #3: cost 4 inf + 1
1554048242.832 * * [simplify]: Extracting #4: cost 0 inf + 245
1554048242.832 * [simplify]: Simplified to (sqrt (sqrt k))
1554048242.832 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))
1554048242.832 * * * * [progress]: [ 84 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt 1)) (sqrt k))))>
1554048242.833 * [simplify]: Simplifying (sqrt k)
1554048242.833 * * [simplify]: iters left: 1 (2 enodes)
1554048242.833 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.833 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048242.833 * * [simplify]: Extracting #2: cost 2 inf + 1
1554048242.833 * * [simplify]: Extracting #3: cost 0 inf + 83
1554048242.833 * [simplify]: Simplified to (sqrt k)
1554048242.833 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt 1)) (sqrt k))))
1554048242.834 * * * * [progress]: [ 85 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))>
1554048242.834 * [simplify]: Simplifying (sqrt (sqrt k))
1554048242.834 * * [simplify]: iters left: 2 (3 enodes)
1554048242.835 * * [simplify]: iters left: 1 (9 enodes)
1554048242.837 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.837 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048242.837 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048242.837 * * [simplify]: Extracting #3: cost 4 inf + 1
1554048242.837 * * [simplify]: Extracting #4: cost 0 inf + 245
1554048242.837 * [simplify]: Simplified to (sqrt (sqrt k))
1554048242.837 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))
1554048242.837 * * * * [progress]: [ 86 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 1) (sqrt k))))>
1554048242.838 * [simplify]: Simplifying (sqrt k)
1554048242.838 * * [simplify]: iters left: 1 (2 enodes)
1554048242.838 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.839 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048242.839 * * [simplify]: Extracting #2: cost 2 inf + 1
1554048242.839 * * [simplify]: Extracting #3: cost 0 inf + 83
1554048242.839 * [simplify]: Simplified to (sqrt k)
1554048242.839 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 1) (sqrt k))))
1554048242.839 * * * * [progress]: [ 87 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1)))))>
1554048242.839 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1))
1554048242.839 * * [simplify]: iters left: 3 (3 enodes)
1554048242.845 * * [simplify]: iters left: 2 (11 enodes)
1554048242.847 * * [simplify]: iters left: 1 (13 enodes)
1554048242.850 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.850 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048242.850 * [simplify]: Simplified to 1
1554048242.850 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (cbrt 1)))))
1554048242.850 * * * * [progress]: [ 88 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (sqrt 1)))))>
1554048242.851 * [simplify]: Simplifying (sqrt 1)
1554048242.851 * * [simplify]: iters left: 1 (2 enodes)
1554048242.853 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.853 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048242.854 * [simplify]: Simplified to 1
1554048242.854 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (sqrt 1)))))
1554048242.854 * * * * [progress]: [ 89 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) 1))))>
1554048242.854 * * * * [progress]: [ 90 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (posit16->real (real->posit16 (/ 1 (sqrt k))))))>
1554048242.854 * * * * [progress]: [ 91 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048242.854 * * * * [progress]: [ 92 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048242.854 * * * * [progress]: [ 93 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048242.854 * [simplify]: Simplifying (* n (* 2 PI))
1554048242.854 * * [simplify]: iters left: 4 (5 enodes)
1554048242.857 * * [simplify]: iters left: 3 (19 enodes)
1554048242.862 * * [simplify]: iters left: 2 (27 enodes)
1554048242.870 * * [simplify]: iters left: 1 (32 enodes)
1554048242.874 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.874 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048242.874 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048242.874 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048242.874 * [simplify]: Simplified to (* (* PI 2) n)
1554048242.874 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048242.874 * * * * [progress]: [ 94 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048242.875 * [simplify]: Simplifying (* n (* 2 PI))
1554048242.875 * * [simplify]: iters left: 4 (5 enodes)
1554048242.878 * * [simplify]: iters left: 3 (19 enodes)
1554048242.883 * * [simplify]: iters left: 2 (27 enodes)
1554048242.891 * * [simplify]: iters left: 1 (32 enodes)
1554048242.899 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.899 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048242.899 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048242.899 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048242.899 * [simplify]: Simplified to (* (* PI 2) n)
1554048242.899 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048242.899 * * * * [progress]: [ 95 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048242.899 * * * * [progress]: [ 96 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048242.900 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
1554048242.900 * * [simplify]: iters left: 5 (8 enodes)
1554048242.903 * * [simplify]: iters left: 4 (28 enodes)
1554048242.907 * * [simplify]: iters left: 3 (36 enodes)
1554048242.912 * * [simplify]: iters left: 2 (42 enodes)
1554048242.917 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.917 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048242.917 * * [simplify]: Extracting #2: cost 17 inf + 0
1554048242.917 * * [simplify]: Extracting #3: cost 12 inf + 145
1554048242.918 * * [simplify]: Extracting #4: cost 5 inf + 1197
1554048242.918 * * [simplify]: Extracting #5: cost 1 inf + 1925
1554048242.918 * * [simplify]: Extracting #6: cost 0 inf + 2107
1554048242.918 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
1554048242.918 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048242.919 * * * * [progress]: [ 97 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048242.919 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
1554048242.919 * * [simplify]: iters left: 5 (7 enodes)
1554048242.921 * * [simplify]: iters left: 4 (26 enodes)
1554048242.925 * * [simplify]: iters left: 3 (35 enodes)
1554048242.930 * * [simplify]: iters left: 2 (44 enodes)
1554048242.935 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048242.935 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048242.936 * * [simplify]: Extracting #2: cost 18 inf + 0
1554048242.936 * * [simplify]: Extracting #3: cost 15 inf + 74
1554048242.936 * * [simplify]: Extracting #4: cost 8 inf + 554
1554048242.936 * * [simplify]: Extracting #5: cost 0 inf + 1911
1554048242.936 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
1554048242.936 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048242.936 * * * * [progress]: [ 98 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048242.936 * * * * [progress]: [ 99 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048242.937 * * * * [progress]: [ 100 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048242.937 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
1554048242.937 * * [simplify]: iters left: 6 (11 enodes)
1554048242.941 * * [simplify]: iters left: 5 (48 enodes)
1554048242.951 * * [simplify]: iters left: 4 (121 enodes)
1554048242.980 * * [simplify]: iters left: 3 (348 enodes)
1554048243.130 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048243.130 * * [simplify]: Extracting #1: cost 67 inf + 0
1554048243.131 * * [simplify]: Extracting #2: cost 165 inf + 786
1554048243.133 * * [simplify]: Extracting #3: cost 85 inf + 10177
1554048243.142 * * [simplify]: Extracting #4: cost 9 inf + 26399
1554048243.154 * * [simplify]: Extracting #5: cost 0 inf + 28546
1554048243.165 * * [simplify]: Extracting #6: cost 0 inf + 28506
1554048243.173 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
1554048243.173 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048243.173 * * * * [progress]: [ 101 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048243.173 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
1554048243.173 * * [simplify]: iters left: 6 (9 enodes)
1554048243.178 * * [simplify]: iters left: 5 (45 enodes)
1554048243.194 * * [simplify]: iters left: 4 (117 enodes)
1554048243.254 * * [simplify]: iters left: 3 (374 enodes)
1554048243.489 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048243.489 * * [simplify]: Extracting #1: cost 77 inf + 0
1554048243.491 * * [simplify]: Extracting #2: cost 184 inf + 984
1554048243.498 * * [simplify]: Extracting #3: cost 106 inf + 11690
1554048243.514 * * [simplify]: Extracting #4: cost 6 inf + 30376
1554048243.528 * * [simplify]: Extracting #5: cost 0 inf + 31644
1554048243.537 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
1554048243.537 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048243.537 * * * * [progress]: [ 102 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048243.537 * * * * [progress]: [ 103 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048243.537 * * * * [progress]: [ 104 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048243.537 * * * * [progress]: [ 105 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048243.537 * * * * [progress]: [ 106 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048243.538 * * * * [progress]: [ 107 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048243.538 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
1554048243.538 * * [simplify]: iters left: 3 (3 enodes)
1554048243.538 * * [simplify]: iters left: 2 (9 enodes)
1554048243.540 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048243.540 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048243.540 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048243.540 * * [simplify]: Extracting #3: cost 4 inf + 1
1554048243.540 * * [simplify]: Extracting #4: cost 0 inf + 405
1554048243.540 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
1554048243.540 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048243.540 * * * * [progress]: [ 108 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048243.540 * [simplify]: Simplifying (sqrt n)
1554048243.540 * * [simplify]: iters left: 1 (2 enodes)
1554048243.540 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048243.540 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048243.541 * * [simplify]: Extracting #2: cost 2 inf + 1
1554048243.541 * * [simplify]: Extracting #3: cost 0 inf + 83
1554048243.541 * [simplify]: Simplified to (sqrt n)
1554048243.541 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048243.541 * * * * [progress]: [ 109 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048243.541 * * * * [progress]: [ 110 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048243.541 * * * * [progress]: [ 111 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048243.541 * * * * [progress]: [ 112 / 197 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))>
1554048243.541 * * * * [progress]: [ 113 / 197 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))>
1554048243.541 * * * * [progress]: [ 114 / 197 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) 1))>
1554048243.541 * * * * [progress]: [ 115 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))))>
1554048243.541 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))
1554048243.541 * * [simplify]: iters left: 6 (17 enodes)
1554048243.546 * * [simplify]: iters left: 5 (69 enodes)
1554048243.559 * * [simplify]: iters left: 4 (113 enodes)
1554048243.611 * * [simplify]: iters left: 3 (306 enodes)
1554048243.724 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048243.724 * * [simplify]: Extracting #1: cost 34 inf + 0
1554048243.725 * * [simplify]: Extracting #2: cost 91 inf + 0
1554048243.726 * * [simplify]: Extracting #3: cost 140 inf + 147
1554048243.729 * * [simplify]: Extracting #4: cost 120 inf + 7792
1554048243.742 * * [simplify]: Extracting #5: cost 19 inf + 37202
1554048243.760 * * [simplify]: Extracting #6: cost 0 inf + 44869
1554048243.781 * * [simplify]: Extracting #7: cost 0 inf + 44867
1554048243.792 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k)))
1554048243.793 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k)))))
1554048243.793 * * * * [progress]: [ 116 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))))>
1554048243.793 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))
1554048243.793 * * [simplify]: iters left: 6 (18 enodes)
1554048243.798 * * [simplify]: iters left: 5 (74 enodes)
1554048243.810 * * [simplify]: iters left: 4 (131 enodes)
1554048243.867 * * [simplify]: iters left: 3 (343 enodes)
1554048244.003 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048244.003 * * [simplify]: Extracting #1: cost 36 inf + 0
1554048244.004 * * [simplify]: Extracting #2: cost 135 inf + 1
1554048244.005 * * [simplify]: Extracting #3: cost 182 inf + 442
1554048244.009 * * [simplify]: Extracting #4: cost 152 inf + 12475
1554048244.028 * * [simplify]: Extracting #5: cost 17 inf + 54342
1554048244.053 * * [simplify]: Extracting #6: cost 0 inf + 60687
1554048244.070 * * [simplify]: Extracting #7: cost 0 inf + 60680
1554048244.082 * * [simplify]: Extracting #8: cost 0 inf + 60677
1554048244.099 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k)))
1554048244.099 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k)))))
1554048244.099 * * * * [progress]: [ 117 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))))>
1554048244.100 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))
1554048244.100 * * [simplify]: iters left: 6 (18 enodes)
1554048244.108 * * [simplify]: iters left: 5 (75 enodes)
1554048244.126 * * [simplify]: iters left: 4 (121 enodes)
1554048244.155 * * [simplify]: iters left: 3 (324 enodes)
1554048244.288 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048244.289 * * [simplify]: Extracting #1: cost 53 inf + 0
1554048244.289 * * [simplify]: Extracting #2: cost 117 inf + 1
1554048244.290 * * [simplify]: Extracting #3: cost 165 inf + 401
1554048244.292 * * [simplify]: Extracting #4: cost 136 inf + 12136
1554048244.300 * * [simplify]: Extracting #5: cost 31 inf + 46348
1554048244.314 * * [simplify]: Extracting #6: cost 0 inf + 57454
1554048244.330 * * [simplify]: Extracting #7: cost 0 inf + 57352
1554048244.349 * * [simplify]: Extracting #8: cost 0 inf + 57351
1554048244.364 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k)))
1554048244.365 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k)))))
1554048244.365 * * * * [progress]: [ 118 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))))>
1554048244.365 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))
1554048244.365 * * [simplify]: iters left: 6 (17 enodes)
1554048244.370 * * [simplify]: iters left: 5 (72 enodes)
1554048244.381 * * [simplify]: iters left: 4 (119 enodes)
1554048244.408 * * [simplify]: iters left: 3 (314 enodes)
1554048244.559 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048244.559 * * [simplify]: Extracting #1: cost 35 inf + 0
1554048244.560 * * [simplify]: Extracting #2: cost 106 inf + 1
1554048244.561 * * [simplify]: Extracting #3: cost 150 inf + 331
1554048244.565 * * [simplify]: Extracting #4: cost 128 inf + 9031
1554048244.577 * * [simplify]: Extracting #5: cost 15 inf + 44365
1554048244.590 * * [simplify]: Extracting #6: cost 0 inf + 50212
1554048244.601 * * [simplify]: Extracting #7: cost 0 inf + 50196
1554048244.614 * [simplify]: Simplified to (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k)))
1554048244.614 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k)))))
1554048244.614 * * * * [progress]: [ 119 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))))>
1554048244.614 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))
1554048244.614 * * [simplify]: iters left: 6 (16 enodes)
1554048244.623 * * [simplify]: iters left: 5 (67 enodes)
1554048244.644 * * [simplify]: iters left: 4 (106 enodes)
1554048244.681 * * [simplify]: iters left: 3 (247 enodes)
1554048244.770 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048244.770 * * [simplify]: Extracting #1: cost 29 inf + 0
1554048244.770 * * [simplify]: Extracting #2: cost 82 inf + 0
1554048244.771 * * [simplify]: Extracting #3: cost 116 inf + 575
1554048244.774 * * [simplify]: Extracting #4: cost 103 inf + 6299
1554048244.787 * * [simplify]: Extracting #5: cost 33 inf + 25185
1554048244.801 * * [simplify]: Extracting #6: cost 3 inf + 34801
1554048244.817 * * [simplify]: Extracting #7: cost 0 inf + 35420
1554048244.833 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))
1554048244.833 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))))
1554048244.833 * * * * [progress]: [ 120 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))))>
1554048244.833 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))
1554048244.833 * * [simplify]: iters left: 6 (17 enodes)
1554048244.844 * * [simplify]: iters left: 5 (72 enodes)
1554048244.869 * * [simplify]: iters left: 4 (124 enodes)
1554048244.904 * * [simplify]: iters left: 3 (283 enodes)
1554048245.003 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048245.003 * * [simplify]: Extracting #1: cost 31 inf + 0
1554048245.003 * * [simplify]: Extracting #2: cost 118 inf + 1
1554048245.004 * * [simplify]: Extracting #3: cost 160 inf + 261
1554048245.006 * * [simplify]: Extracting #4: cost 133 inf + 9328
1554048245.012 * * [simplify]: Extracting #5: cost 43 inf + 34393
1554048245.025 * * [simplify]: Extracting #6: cost 9 inf + 45459
1554048245.042 * * [simplify]: Extracting #7: cost 0 inf + 48148
1554048245.052 * * [simplify]: Extracting #8: cost 0 inf + 47906
1554048245.062 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))
1554048245.062 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))))
1554048245.063 * * * * [progress]: [ 121 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))))>
1554048245.063 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))
1554048245.063 * * [simplify]: iters left: 6 (17 enodes)
1554048245.072 * * [simplify]: iters left: 5 (73 enodes)
1554048245.096 * * [simplify]: iters left: 4 (114 enodes)
1554048245.131 * * [simplify]: iters left: 3 (265 enodes)
1554048245.238 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048245.238 * * [simplify]: Extracting #1: cost 42 inf + 0
1554048245.239 * * [simplify]: Extracting #2: cost 100 inf + 1
1554048245.239 * * [simplify]: Extracting #3: cost 136 inf + 386
1554048245.241 * * [simplify]: Extracting #4: cost 124 inf + 5458
1554048245.246 * * [simplify]: Extracting #5: cost 38 inf + 29744
1554048245.256 * * [simplify]: Extracting #6: cost 3 inf + 41290
1554048245.272 * * [simplify]: Extracting #7: cost 0 inf + 42504
1554048245.288 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))
1554048245.288 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))))
1554048245.288 * * * * [progress]: [ 122 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))))>
1554048245.289 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))
1554048245.289 * * [simplify]: iters left: 6 (16 enodes)
1554048245.296 * * [simplify]: iters left: 5 (70 enodes)
1554048245.306 * * [simplify]: iters left: 4 (112 enodes)
1554048245.327 * * [simplify]: iters left: 3 (256 enodes)
1554048245.432 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048245.432 * * [simplify]: Extracting #1: cost 31 inf + 0
1554048245.433 * * [simplify]: Extracting #2: cost 94 inf + 1
1554048245.434 * * [simplify]: Extracting #3: cost 133 inf + 314
1554048245.436 * * [simplify]: Extracting #4: cost 118 inf + 5137
1554048245.443 * * [simplify]: Extracting #5: cost 41 inf + 26009
1554048245.450 * * [simplify]: Extracting #6: cost 8 inf + 36688
1554048245.458 * * [simplify]: Extracting #7: cost 1 inf + 39032
1554048245.466 * * [simplify]: Extracting #8: cost 0 inf + 39377
1554048245.476 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))
1554048245.476 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))))
1554048245.476 * * * * [progress]: [ 123 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))))>
1554048245.477 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))
1554048245.477 * * [simplify]: iters left: 6 (15 enodes)
1554048245.484 * * [simplify]: iters left: 5 (66 enodes)
1554048245.503 * * [simplify]: iters left: 4 (113 enodes)
1554048245.525 * * [simplify]: iters left: 3 (229 enodes)
1554048245.593 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048245.593 * * [simplify]: Extracting #1: cost 23 inf + 0
1554048245.594 * * [simplify]: Extracting #2: cost 83 inf + 0
1554048245.595 * * [simplify]: Extracting #3: cost 122 inf + 130
1554048245.596 * * [simplify]: Extracting #4: cost 122 inf + 3176
1554048245.601 * * [simplify]: Extracting #5: cost 40 inf + 21068
1554048245.609 * * [simplify]: Extracting #6: cost 2 inf + 30658
1554048245.616 * * [simplify]: Extracting #7: cost 0 inf + 30886
1554048245.622 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554048245.622 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554048245.622 * * * * [progress]: [ 124 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))))>
1554048245.623 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))
1554048245.623 * * [simplify]: iters left: 6 (16 enodes)
1554048245.628 * * [simplify]: iters left: 5 (71 enodes)
1554048245.644 * * [simplify]: iters left: 4 (131 enodes)
1554048245.667 * * [simplify]: iters left: 3 (262 enodes)
1554048245.736 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048245.736 * * [simplify]: Extracting #1: cost 27 inf + 0
1554048245.737 * * [simplify]: Extracting #2: cost 112 inf + 1
1554048245.737 * * [simplify]: Extracting #3: cost 151 inf + 302
1554048245.739 * * [simplify]: Extracting #4: cost 142 inf + 5480
1554048245.743 * * [simplify]: Extracting #5: cost 72 inf + 21099
1554048245.753 * * [simplify]: Extracting #6: cost 16 inf + 35543
1554048245.769 * * [simplify]: Extracting #7: cost 0 inf + 40340
1554048245.779 * * [simplify]: Extracting #8: cost 0 inf + 40337
1554048245.788 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554048245.788 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554048245.788 * * * * [progress]: [ 125 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))))>
1554048245.789 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))
1554048245.789 * * [simplify]: iters left: 6 (16 enodes)
1554048245.794 * * [simplify]: iters left: 5 (72 enodes)
1554048245.806 * * [simplify]: iters left: 4 (121 enodes)
1554048245.845 * * [simplify]: iters left: 3 (247 enodes)
1554048245.922 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048245.923 * * [simplify]: Extracting #1: cost 33 inf + 0
1554048245.923 * * [simplify]: Extracting #2: cost 97 inf + 1
1554048245.923 * * [simplify]: Extracting #3: cost 133 inf + 373
1554048245.924 * * [simplify]: Extracting #4: cost 123 inf + 5352
1554048245.929 * * [simplify]: Extracting #5: cost 38 inf + 24521
1554048245.936 * * [simplify]: Extracting #6: cost 3 inf + 35147
1554048245.947 * * [simplify]: Extracting #7: cost 0 inf + 35848
1554048245.955 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554048245.955 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554048245.956 * * * * [progress]: [ 126 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))))>
1554048245.956 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))
1554048245.956 * * [simplify]: iters left: 6 (15 enodes)
1554048245.960 * * [simplify]: iters left: 5 (69 enodes)
1554048245.971 * * [simplify]: iters left: 4 (119 enodes)
1554048246.003 * * [simplify]: iters left: 3 (239 enodes)
1554048246.088 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048246.088 * * [simplify]: Extracting #1: cost 25 inf + 0
1554048246.089 * * [simplify]: Extracting #2: cost 94 inf + 1
1554048246.089 * * [simplify]: Extracting #3: cost 132 inf + 273
1554048246.092 * * [simplify]: Extracting #4: cost 115 inf + 6476
1554048246.105 * * [simplify]: Extracting #5: cost 12 inf + 31154
1554048246.114 * * [simplify]: Extracting #6: cost 0 inf + 34674
1554048246.122 * * [simplify]: Extracting #7: cost 0 inf + 34574
1554048246.129 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554048246.129 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554048246.130 * * * * [progress]: [ 127 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))))>
1554048246.130 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k))))
1554048246.130 * * [simplify]: iters left: 6 (15 enodes)
1554048246.134 * * [simplify]: iters left: 5 (66 enodes)
1554048246.145 * * [simplify]: iters left: 4 (113 enodes)
1554048246.164 * * [simplify]: iters left: 3 (229 enodes)
1554048246.221 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048246.221 * * [simplify]: Extracting #1: cost 23 inf + 0
1554048246.221 * * [simplify]: Extracting #2: cost 83 inf + 0
1554048246.222 * * [simplify]: Extracting #3: cost 122 inf + 130
1554048246.222 * * [simplify]: Extracting #4: cost 122 inf + 3176
1554048246.225 * * [simplify]: Extracting #5: cost 40 inf + 21068
1554048246.231 * * [simplify]: Extracting #6: cost 2 inf + 30658
1554048246.238 * * [simplify]: Extracting #7: cost 0 inf + 30886
1554048246.247 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554048246.247 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554048246.247 * * * * [progress]: [ 128 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))))>
1554048246.247 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k))))
1554048246.247 * * [simplify]: iters left: 6 (16 enodes)
1554048246.252 * * [simplify]: iters left: 5 (71 enodes)
1554048246.264 * * [simplify]: iters left: 4 (131 enodes)
1554048246.290 * * [simplify]: iters left: 3 (262 enodes)
1554048246.391 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048246.391 * * [simplify]: Extracting #1: cost 27 inf + 0
1554048246.392 * * [simplify]: Extracting #2: cost 112 inf + 1
1554048246.392 * * [simplify]: Extracting #3: cost 151 inf + 302
1554048246.394 * * [simplify]: Extracting #4: cost 142 inf + 5480
1554048246.397 * * [simplify]: Extracting #5: cost 72 inf + 21099
1554048246.404 * * [simplify]: Extracting #6: cost 16 inf + 35543
1554048246.416 * * [simplify]: Extracting #7: cost 0 inf + 40340
1554048246.425 * * [simplify]: Extracting #8: cost 0 inf + 40337
1554048246.441 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554048246.441 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554048246.441 * * * * [progress]: [ 129 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))))>
1554048246.442 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k))))
1554048246.442 * * [simplify]: iters left: 6 (16 enodes)
1554048246.449 * * [simplify]: iters left: 5 (72 enodes)
1554048246.461 * * [simplify]: iters left: 4 (121 enodes)
1554048246.483 * * [simplify]: iters left: 3 (247 enodes)
1554048246.574 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048246.574 * * [simplify]: Extracting #1: cost 33 inf + 0
1554048246.575 * * [simplify]: Extracting #2: cost 97 inf + 1
1554048246.576 * * [simplify]: Extracting #3: cost 133 inf + 373
1554048246.578 * * [simplify]: Extracting #4: cost 123 inf + 5352
1554048246.586 * * [simplify]: Extracting #5: cost 38 inf + 24521
1554048246.602 * * [simplify]: Extracting #6: cost 3 inf + 35147
1554048246.615 * * [simplify]: Extracting #7: cost 0 inf + 35848
1554048246.629 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554048246.630 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554048246.630 * * * * [progress]: [ 130 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))))>
1554048246.630 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k))))
1554048246.630 * * [simplify]: iters left: 6 (15 enodes)
1554048246.638 * * [simplify]: iters left: 5 (69 enodes)
1554048246.654 * * [simplify]: iters left: 4 (119 enodes)
1554048246.674 * * [simplify]: iters left: 3 (239 enodes)
1554048246.750 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048246.750 * * [simplify]: Extracting #1: cost 25 inf + 0
1554048246.750 * * [simplify]: Extracting #2: cost 94 inf + 1
1554048246.750 * * [simplify]: Extracting #3: cost 132 inf + 273
1554048246.752 * * [simplify]: Extracting #4: cost 115 inf + 6476
1554048246.757 * * [simplify]: Extracting #5: cost 12 inf + 31154
1554048246.764 * * [simplify]: Extracting #6: cost 0 inf + 34674
1554048246.776 * * [simplify]: Extracting #7: cost 0 inf + 34574
1554048246.783 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
1554048246.783 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
1554048246.783 * * * * [progress]: [ 131 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log (sqrt k))))))>
1554048246.783 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log (sqrt k))))
1554048246.783 * * [simplify]: iters left: 6 (15 enodes)
1554048246.790 * * [simplify]: iters left: 5 (64 enodes)
1554048246.807 * * [simplify]: iters left: 4 (112 enodes)
1554048246.827 * * [simplify]: iters left: 3 (215 enodes)
1554048246.912 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048246.912 * * [simplify]: Extracting #1: cost 24 inf + 0
1554048246.912 * * [simplify]: Extracting #2: cost 109 inf + 0
1554048246.914 * * [simplify]: Extracting #3: cost 173 inf + 4
1554048246.915 * * [simplify]: Extracting #4: cost 159 inf + 2128
1554048246.919 * * [simplify]: Extracting #5: cost 86 inf + 16632
1554048246.931 * * [simplify]: Extracting #6: cost 2 inf + 39628
1554048246.943 * * [simplify]: Extracting #7: cost 0 inf + 39658
1554048246.954 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))
1554048246.954 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))))
1554048246.954 * * * * [progress]: [ 132 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 0 (log (sqrt k))))))>
1554048246.955 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 0 (log (sqrt k))))
1554048246.955 * * [simplify]: iters left: 6 (16 enodes)
1554048246.960 * * [simplify]: iters left: 5 (69 enodes)
1554048246.972 * * [simplify]: iters left: 4 (129 enodes)
1554048247.012 * * [simplify]: iters left: 3 (250 enodes)
1554048247.096 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048247.096 * * [simplify]: Extracting #1: cost 28 inf + 0
1554048247.097 * * [simplify]: Extracting #2: cost 142 inf + 1
1554048247.097 * * [simplify]: Extracting #3: cost 208 inf + 5
1554048247.099 * * [simplify]: Extracting #4: cost 168 inf + 5893
1554048247.107 * * [simplify]: Extracting #5: cost 44 inf + 35824
1554048247.120 * * [simplify]: Extracting #6: cost 2 inf + 50163
1554048247.129 * * [simplify]: Extracting #7: cost 0 inf + 51246
1554048247.138 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k)))
1554048247.139 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k)))))
1554048247.139 * * * * [progress]: [ 133 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log 1) (log (sqrt k))))))>
1554048247.139 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log 1) (log (sqrt k))))
1554048247.139 * * [simplify]: iters left: 6 (16 enodes)
1554048247.144 * * [simplify]: iters left: 5 (70 enodes)
1554048247.162 * * [simplify]: iters left: 4 (119 enodes)
1554048247.189 * * [simplify]: iters left: 3 (239 enodes)
1554048247.269 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048247.269 * * [simplify]: Extracting #1: cost 34 inf + 0
1554048247.270 * * [simplify]: Extracting #2: cost 124 inf + 1
1554048247.271 * * [simplify]: Extracting #3: cost 187 inf + 5
1554048247.273 * * [simplify]: Extracting #4: cost 147 inf + 6512
1554048247.283 * * [simplify]: Extracting #5: cost 34 inf + 32936
1554048247.291 * * [simplify]: Extracting #6: cost 0 inf + 45571
1554048247.299 * * [simplify]: Extracting #7: cost 0 inf + 45374
1554048247.310 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
1554048247.310 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))))
1554048247.310 * * * * [progress]: [ 134 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (/ 1 (sqrt k))))))>
1554048247.311 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (/ 1 (sqrt k))))
1554048247.311 * * [simplify]: iters left: 6 (15 enodes)
1554048247.319 * * [simplify]: iters left: 5 (67 enodes)
1554048247.339 * * [simplify]: iters left: 4 (118 enodes)
1554048247.371 * * [simplify]: iters left: 3 (225 enodes)
1554048247.427 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048247.427 * * [simplify]: Extracting #1: cost 26 inf + 0
1554048247.428 * * [simplify]: Extracting #2: cost 121 inf + 1
1554048247.428 * * [simplify]: Extracting #3: cost 186 inf + 5
1554048247.429 * * [simplify]: Extracting #4: cost 155 inf + 4693
1554048247.434 * * [simplify]: Extracting #5: cost 39 inf + 29468
1554048247.443 * * [simplify]: Extracting #6: cost 3 inf + 42209
1554048247.451 * * [simplify]: Extracting #7: cost 0 inf + 44155
1554048247.461 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
1554048247.461 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))))
1554048247.461 * * * * [progress]: [ 135 / 197 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))>
1554048247.461 * * * * [progress]: [ 136 / 197 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))>
1554048247.461 * * * * [progress]: [ 137 / 197 ] 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))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
1554048247.461 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))))
1554048247.461 * * [simplify]: iters left: 6 (19 enodes)
1554048247.468 * * [simplify]: iters left: 5 (80 enodes)
1554048247.496 * * [simplify]: iters left: 4 (188 enodes)
1554048247.578 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048247.578 * * [simplify]: Extracting #1: cost 50 inf + 0
1554048247.578 * * [simplify]: Extracting #2: cost 145 inf + 206
1554048247.579 * * [simplify]: Extracting #3: cost 157 inf + 1393
1554048247.580 * * [simplify]: Extracting #4: cost 146 inf + 2848
1554048247.585 * * [simplify]: Extracting #5: cost 56 inf + 40587
1554048247.603 * * [simplify]: Extracting #6: cost 0 inf + 73945
1554048247.619 * * [simplify]: Extracting #7: cost 0 inf + 73750
1554048247.629 * [simplify]: Simplified to (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k)
1554048247.630 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k)))
1554048247.630 * * * * [progress]: [ 138 / 197 ] 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))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))))))>
1554048247.630 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))))
1554048247.630 * * [simplify]: iters left: 6 (17 enodes)
1554048247.635 * * [simplify]: iters left: 5 (81 enodes)
1554048247.662 * * [simplify]: iters left: 4 (174 enodes)
1554048247.730 * * [simplify]: iters left: 3 (492 enodes)
1554048248.054 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048248.055 * * [simplify]: Extracting #1: cost 79 inf + 0
1554048248.056 * * [simplify]: Extracting #2: cost 422 inf + 45
1554048248.058 * * [simplify]: Extracting #3: cost 467 inf + 1578
1554048248.061 * * [simplify]: Extracting #4: cost 451 inf + 4029
1554048248.079 * * [simplify]: Extracting #5: cost 241 inf + 124146
1554048248.153 * * [simplify]: Extracting #6: cost 11 inf + 301244
1554048248.225 * * [simplify]: Extracting #7: cost 0 inf + 301839
1554048248.313 * * [simplify]: Extracting #8: cost 0 inf + 300567
1554048248.404 * [simplify]: Simplified to (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k))
1554048248.404 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k))))
1554048248.404 * * * * [progress]: [ 139 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))>
1554048248.404 * * * * [progress]: [ 140 / 197 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (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)) (/ 1 (sqrt k))))))>
1554048248.404 * * * * [progress]: [ 141 / 197 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))>
1554048248.404 * * * * [progress]: [ 142 / 197 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ 1 2)) 1) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k))))>
1554048248.404 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) 1)
1554048248.405 * * [simplify]: iters left: 6 (9 enodes)
1554048248.408 * * [simplify]: iters left: 5 (37 enodes)
1554048248.417 * * [simplify]: iters left: 4 (66 enodes)
1554048248.440 * * [simplify]: iters left: 3 (106 enodes)
1554048248.462 * * [simplify]: iters left: 2 (160 enodes)
1554048248.511 * * [simplify]: iters left: 1 (277 enodes)
1554048248.592 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048248.593 * * [simplify]: Extracting #1: cost 18 inf + 0
1554048248.593 * * [simplify]: Extracting #2: cost 67 inf + 3
1554048248.593 * * [simplify]: Extracting #3: cost 72 inf + 11
1554048248.594 * * [simplify]: Extracting #4: cost 58 inf + 2363
1554048248.596 * * [simplify]: Extracting #5: cost 25 inf + 17516
1554048248.600 * * [simplify]: Extracting #6: cost 1 inf + 34423
1554048248.605 * * [simplify]: Extracting #7: cost 0 inf + 35219
1554048248.609 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
1554048248.609 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k))))
1554048248.609 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k))
1554048248.609 * * [simplify]: iters left: 6 (10 enodes)
1554048248.612 * * [simplify]: iters left: 5 (38 enodes)
1554048248.618 * * [simplify]: iters left: 4 (62 enodes)
1554048248.628 * * [simplify]: iters left: 3 (104 enodes)
1554048248.646 * * [simplify]: iters left: 2 (207 enodes)
1554048248.690 * * [simplify]: iters left: 1 (463 enodes)
1554048248.974 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048248.974 * * [simplify]: Extracting #1: cost 54 inf + 0
1554048248.975 * * [simplify]: Extracting #2: cost 171 inf + 0
1554048248.977 * * [simplify]: Extracting #3: cost 210 inf + 45
1554048248.978 * * [simplify]: Extracting #4: cost 181 inf + 4887
1554048248.984 * * [simplify]: Extracting #5: cost 140 inf + 13636
1554048249.001 * * [simplify]: Extracting #6: cost 43 inf + 93420
1554048249.025 * * [simplify]: Extracting #7: cost 0 inf + 133565
1554048249.060 * * [simplify]: Extracting #8: cost 0 inf + 131993
1554048249.078 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k))
1554048249.078 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k))))
1554048249.079 * * * * [progress]: [ 143 / 197 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))>
1554048249.079 * * * * [progress]: [ 144 / 197 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))>
1554048249.079 * [simplify]: Simplifying (sqrt k)
1554048249.079 * * [simplify]: iters left: 1 (2 enodes)
1554048249.079 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048249.079 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048249.079 * * [simplify]: Extracting #2: cost 2 inf + 1
1554048249.079 * * [simplify]: Extracting #3: cost 0 inf + 83
1554048249.079 * [simplify]: Simplified to (sqrt k)
1554048249.080 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
1554048249.080 * * * * [progress]: [ 145 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))))>
1554048249.080 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))
1554048249.080 * * [simplify]: iters left: 6 (15 enodes)
1554048249.087 * * [simplify]: iters left: 5 (61 enodes)
1554048249.099 * * [simplify]: iters left: 4 (95 enodes)
1554048249.114 * * [simplify]: iters left: 3 (135 enodes)
1554048249.143 * * [simplify]: iters left: 2 (208 enodes)
1554048249.191 * * [simplify]: iters left: 1 (367 enodes)
1554048249.299 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048249.299 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048249.299 * * [simplify]: Extracting #2: cost 9 inf + 0
1554048249.299 * * [simplify]: Extracting #3: cost 40 inf + 0
1554048249.299 * * [simplify]: Extracting #4: cost 123 inf + 2
1554048249.300 * * [simplify]: Extracting #5: cost 149 inf + 428
1554048249.302 * * [simplify]: Extracting #6: cost 95 inf + 7564
1554048249.306 * * [simplify]: Extracting #7: cost 43 inf + 25541
1554048249.315 * * [simplify]: Extracting #8: cost 5 inf + 57306
1554048249.325 * * [simplify]: Extracting #9: cost 0 inf + 61577
1554048249.334 * * [simplify]: Extracting #10: cost 0 inf + 61496
1554048249.343 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))
1554048249.343 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))))
1554048249.344 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))
1554048249.344 * * [simplify]: iters left: 6 (15 enodes)
1554048249.348 * * [simplify]: iters left: 5 (61 enodes)
1554048249.368 * * [simplify]: iters left: 4 (95 enodes)
1554048249.388 * * [simplify]: iters left: 3 (135 enodes)
1554048249.414 * * [simplify]: iters left: 2 (208 enodes)
1554048249.474 * * [simplify]: iters left: 1 (367 enodes)
1554048249.619 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048249.619 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048249.619 * * [simplify]: Extracting #2: cost 9 inf + 0
1554048249.619 * * [simplify]: Extracting #3: cost 40 inf + 0
1554048249.620 * * [simplify]: Extracting #4: cost 123 inf + 2
1554048249.621 * * [simplify]: Extracting #5: cost 149 inf + 428
1554048249.625 * * [simplify]: Extracting #6: cost 95 inf + 7564
1554048249.633 * * [simplify]: Extracting #7: cost 43 inf + 25541
1554048249.650 * * [simplify]: Extracting #8: cost 5 inf + 57306
1554048249.669 * * [simplify]: Extracting #9: cost 0 inf + 61577
1554048249.687 * * [simplify]: Extracting #10: cost 0 inf + 61496
1554048249.705 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))
1554048249.705 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))))
1554048249.705 * * * * [progress]: [ 146 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))))>
1554048249.706 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))
1554048249.706 * * [simplify]: iters left: 6 (16 enodes)
1554048249.716 * * [simplify]: iters left: 5 (66 enodes)
1554048249.740 * * [simplify]: iters left: 4 (106 enodes)
1554048249.760 * * [simplify]: iters left: 3 (151 enodes)
1554048249.783 * * [simplify]: iters left: 2 (225 enodes)
1554048249.830 * * [simplify]: iters left: 1 (378 enodes)
1554048249.933 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048249.933 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048249.933 * * [simplify]: Extracting #2: cost 13 inf + 1
1554048249.933 * * [simplify]: Extracting #3: cost 42 inf + 1
1554048249.934 * * [simplify]: Extracting #4: cost 113 inf + 125
1554048249.934 * * [simplify]: Extracting #5: cost 140 inf + 1039
1554048249.936 * * [simplify]: Extracting #6: cost 89 inf + 7670
1554048249.942 * * [simplify]: Extracting #7: cost 37 inf + 28450
1554048249.950 * * [simplify]: Extracting #8: cost 2 inf + 56186
1554048249.966 * * [simplify]: Extracting #9: cost 0 inf + 57532
1554048249.985 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554048249.985 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))))
1554048249.985 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))
1554048249.985 * * [simplify]: iters left: 6 (16 enodes)
1554048249.991 * * [simplify]: iters left: 5 (66 enodes)
1554048250.002 * * [simplify]: iters left: 4 (106 enodes)
1554048250.021 * * [simplify]: iters left: 3 (151 enodes)
1554048250.056 * * [simplify]: iters left: 2 (225 enodes)
1554048250.100 * * [simplify]: iters left: 1 (378 enodes)
1554048250.210 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048250.210 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048250.211 * * [simplify]: Extracting #2: cost 13 inf + 1
1554048250.211 * * [simplify]: Extracting #3: cost 42 inf + 1
1554048250.212 * * [simplify]: Extracting #4: cost 113 inf + 125
1554048250.213 * * [simplify]: Extracting #5: cost 140 inf + 1039
1554048250.216 * * [simplify]: Extracting #6: cost 89 inf + 7670
1554048250.225 * * [simplify]: Extracting #7: cost 37 inf + 28450
1554048250.240 * * [simplify]: Extracting #8: cost 2 inf + 56186
1554048250.258 * * [simplify]: Extracting #9: cost 0 inf + 57532
1554048250.274 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554048250.275 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1554048250.275 * * * * [progress]: [ 147 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))))>
1554048250.275 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))
1554048250.275 * * [simplify]: iters left: 6 (16 enodes)
1554048250.280 * * [simplify]: iters left: 5 (66 enodes)
1554048250.291 * * [simplify]: iters left: 4 (106 enodes)
1554048250.309 * * [simplify]: iters left: 3 (151 enodes)
1554048250.353 * * [simplify]: iters left: 2 (225 enodes)
1554048250.409 * * [simplify]: iters left: 1 (378 enodes)
1554048250.544 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048250.544 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048250.545 * * [simplify]: Extracting #2: cost 13 inf + 1
1554048250.545 * * [simplify]: Extracting #3: cost 42 inf + 1
1554048250.545 * * [simplify]: Extracting #4: cost 113 inf + 125
1554048250.546 * * [simplify]: Extracting #5: cost 140 inf + 1039
1554048250.548 * * [simplify]: Extracting #6: cost 89 inf + 7670
1554048250.552 * * [simplify]: Extracting #7: cost 37 inf + 28450
1554048250.568 * * [simplify]: Extracting #8: cost 2 inf + 56186
1554048250.577 * * [simplify]: Extracting #9: cost 0 inf + 57532
1554048250.587 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554048250.587 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))))
1554048250.588 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))
1554048250.588 * * [simplify]: iters left: 6 (16 enodes)
1554048250.593 * * [simplify]: iters left: 5 (66 enodes)
1554048250.604 * * [simplify]: iters left: 4 (106 enodes)
1554048250.620 * * [simplify]: iters left: 3 (151 enodes)
1554048250.645 * * [simplify]: iters left: 2 (225 enodes)
1554048250.701 * * [simplify]: iters left: 1 (378 enodes)
1554048250.836 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048250.836 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048250.836 * * [simplify]: Extracting #2: cost 13 inf + 1
1554048250.836 * * [simplify]: Extracting #3: cost 42 inf + 1
1554048250.841 * * [simplify]: Extracting #4: cost 113 inf + 125
1554048250.841 * * [simplify]: Extracting #5: cost 140 inf + 1039
1554048250.843 * * [simplify]: Extracting #6: cost 89 inf + 7670
1554048250.848 * * [simplify]: Extracting #7: cost 37 inf + 28450
1554048250.857 * * [simplify]: Extracting #8: cost 2 inf + 56186
1554048250.866 * * [simplify]: Extracting #9: cost 0 inf + 57532
1554048250.883 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554048250.883 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1554048250.883 * * * * [progress]: [ 148 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))))>
1554048250.884 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))
1554048250.884 * * [simplify]: iters left: 6 (15 enodes)
1554048250.888 * * [simplify]: iters left: 5 (63 enodes)
1554048250.899 * * [simplify]: iters left: 4 (101 enodes)
1554048250.915 * * [simplify]: iters left: 3 (147 enodes)
1554048250.960 * * [simplify]: iters left: 2 (218 enodes)
1554048251.040 * * [simplify]: iters left: 1 (379 enodes)
1554048251.152 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048251.152 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048251.152 * * [simplify]: Extracting #2: cost 13 inf + 1
1554048251.152 * * [simplify]: Extracting #3: cost 42 inf + 1
1554048251.153 * * [simplify]: Extracting #4: cost 116 inf + 369
1554048251.154 * * [simplify]: Extracting #5: cost 131 inf + 1622
1554048251.156 * * [simplify]: Extracting #6: cost 72 inf + 13805
1554048251.163 * * [simplify]: Extracting #7: cost 15 inf + 47860
1554048251.175 * * [simplify]: Extracting #8: cost 0 inf + 61860
1554048251.195 * * [simplify]: Extracting #9: cost 0 inf + 60325
1554048251.215 * * [simplify]: Extracting #10: cost 0 inf + 58429
1554048251.236 * * [simplify]: Extracting #11: cost 0 inf + 57511
1554048251.257 * * [simplify]: Extracting #12: cost 0 inf + 57420
1554048251.270 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554048251.270 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))))
1554048251.271 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))
1554048251.271 * * [simplify]: iters left: 6 (15 enodes)
1554048251.275 * * [simplify]: iters left: 5 (63 enodes)
1554048251.287 * * [simplify]: iters left: 4 (101 enodes)
1554048251.306 * * [simplify]: iters left: 3 (147 enodes)
1554048251.337 * * [simplify]: iters left: 2 (218 enodes)
1554048251.389 * * [simplify]: iters left: 1 (379 enodes)
1554048251.533 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048251.533 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048251.533 * * [simplify]: Extracting #2: cost 13 inf + 1
1554048251.533 * * [simplify]: Extracting #3: cost 42 inf + 1
1554048251.534 * * [simplify]: Extracting #4: cost 116 inf + 369
1554048251.535 * * [simplify]: Extracting #5: cost 131 inf + 1622
1554048251.540 * * [simplify]: Extracting #6: cost 72 inf + 13805
1554048251.552 * * [simplify]: Extracting #7: cost 15 inf + 47860
1554048251.564 * * [simplify]: Extracting #8: cost 0 inf + 61860
1554048251.574 * * [simplify]: Extracting #9: cost 0 inf + 60325
1554048251.587 * * [simplify]: Extracting #10: cost 0 inf + 58429
1554048251.608 * * [simplify]: Extracting #11: cost 0 inf + 57511
1554048251.621 * * [simplify]: Extracting #12: cost 0 inf + 57420
1554048251.632 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554048251.632 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1554048251.632 * * * * [progress]: [ 149 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))))>
1554048251.632 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))
1554048251.632 * * [simplify]: iters left: 6 (15 enodes)
1554048251.637 * * [simplify]: iters left: 5 (63 enodes)
1554048251.653 * * [simplify]: iters left: 4 (101 enodes)
1554048251.674 * * [simplify]: iters left: 3 (147 enodes)
1554048251.708 * * [simplify]: iters left: 2 (218 enodes)
1554048251.767 * * [simplify]: iters left: 1 (379 enodes)
1554048251.887 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048251.887 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048251.887 * * [simplify]: Extracting #2: cost 13 inf + 1
1554048251.887 * * [simplify]: Extracting #3: cost 42 inf + 1
1554048251.888 * * [simplify]: Extracting #4: cost 116 inf + 369
1554048251.889 * * [simplify]: Extracting #5: cost 131 inf + 1622
1554048251.894 * * [simplify]: Extracting #6: cost 72 inf + 13805
1554048251.909 * * [simplify]: Extracting #7: cost 15 inf + 47860
1554048251.928 * * [simplify]: Extracting #8: cost 0 inf + 61860
1554048251.948 * * [simplify]: Extracting #9: cost 0 inf + 60325
1554048251.968 * * [simplify]: Extracting #10: cost 0 inf + 58429
1554048251.983 * * [simplify]: Extracting #11: cost 0 inf + 57511
1554048251.996 * * [simplify]: Extracting #12: cost 0 inf + 57420
1554048252.008 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554048252.008 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))))
1554048252.009 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))
1554048252.009 * * [simplify]: iters left: 6 (15 enodes)
1554048252.017 * * [simplify]: iters left: 5 (63 enodes)
1554048252.038 * * [simplify]: iters left: 4 (101 enodes)
1554048252.057 * * [simplify]: iters left: 3 (147 enodes)
1554048252.086 * * [simplify]: iters left: 2 (218 enodes)
1554048252.166 * * [simplify]: iters left: 1 (379 enodes)
1554048252.301 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048252.301 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048252.301 * * [simplify]: Extracting #2: cost 13 inf + 1
1554048252.301 * * [simplify]: Extracting #3: cost 42 inf + 1
1554048252.302 * * [simplify]: Extracting #4: cost 116 inf + 369
1554048252.303 * * [simplify]: Extracting #5: cost 131 inf + 1622
1554048252.308 * * [simplify]: Extracting #6: cost 72 inf + 13805
1554048252.327 * * [simplify]: Extracting #7: cost 15 inf + 47860
1554048252.347 * * [simplify]: Extracting #8: cost 0 inf + 61860
1554048252.367 * * [simplify]: Extracting #9: cost 0 inf + 60325
1554048252.378 * * [simplify]: Extracting #10: cost 0 inf + 58429
1554048252.388 * * [simplify]: Extracting #11: cost 0 inf + 57511
1554048252.399 * * [simplify]: Extracting #12: cost 0 inf + 57420
1554048252.410 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1554048252.410 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1554048252.410 * * * * [progress]: [ 150 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k))))))>
1554048252.410 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k))))
1554048252.411 * * [simplify]: iters left: 6 (15 enodes)
1554048252.417 * * [simplify]: iters left: 5 (64 enodes)
1554048252.441 * * [simplify]: iters left: 4 (104 enodes)
1554048252.475 * * [simplify]: iters left: 3 (167 enodes)
1554048252.535 * * [simplify]: iters left: 2 (322 enodes)
1554048252.635 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048252.635 * * [simplify]: Extracting #1: cost 34 inf + 0
1554048252.636 * * [simplify]: Extracting #2: cost 104 inf + 0
1554048252.637 * * [simplify]: Extracting #3: cost 158 inf + 2
1554048252.637 * * [simplify]: Extracting #4: cost 169 inf + 181
1554048252.639 * * [simplify]: Extracting #5: cost 138 inf + 4240
1554048252.641 * * [simplify]: Extracting #6: cost 86 inf + 12902
1554048252.648 * * [simplify]: Extracting #7: cost 20 inf + 56686
1554048252.661 * * [simplify]: Extracting #8: cost 0 inf + 73863
1554048252.679 * * [simplify]: Extracting #9: cost 0 inf + 73230
1554048252.690 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))
1554048252.690 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k))))))
1554048252.691 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k))))
1554048252.691 * * [simplify]: iters left: 6 (15 enodes)
1554048252.695 * * [simplify]: iters left: 5 (64 enodes)
1554048252.706 * * [simplify]: iters left: 4 (104 enodes)
1554048252.736 * * [simplify]: iters left: 3 (167 enodes)
1554048252.800 * * [simplify]: iters left: 2 (322 enodes)
1554048252.881 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048252.881 * * [simplify]: Extracting #1: cost 34 inf + 0
1554048252.881 * * [simplify]: Extracting #2: cost 104 inf + 0
1554048252.882 * * [simplify]: Extracting #3: cost 158 inf + 2
1554048252.882 * * [simplify]: Extracting #4: cost 169 inf + 181
1554048252.884 * * [simplify]: Extracting #5: cost 138 inf + 4240
1554048252.886 * * [simplify]: Extracting #6: cost 86 inf + 12902
1554048252.893 * * [simplify]: Extracting #7: cost 20 inf + 56686
1554048252.905 * * [simplify]: Extracting #8: cost 0 inf + 73863
1554048252.915 * * [simplify]: Extracting #9: cost 0 inf + 73230
1554048252.935 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))
1554048252.935 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))))
1554048252.935 * * * * [progress]: [ 151 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))))>
1554048252.936 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))
1554048252.936 * * [simplify]: iters left: 6 (16 enodes)
1554048252.945 * * [simplify]: iters left: 5 (69 enodes)
1554048252.968 * * [simplify]: iters left: 4 (113 enodes)
1554048253.011 * * [simplify]: iters left: 3 (191 enodes)
1554048253.082 * * [simplify]: iters left: 2 (381 enodes)
1554048253.238 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048253.238 * * [simplify]: Extracting #1: cost 36 inf + 0
1554048253.239 * * [simplify]: Extracting #2: cost 108 inf + 1
1554048253.239 * * [simplify]: Extracting #3: cost 166 inf + 2
1554048253.240 * * [simplify]: Extracting #4: cost 168 inf + 639
1554048253.242 * * [simplify]: Extracting #5: cost 117 inf + 7263
1554048253.247 * * [simplify]: Extracting #6: cost 47 inf + 36706
1554048253.260 * * [simplify]: Extracting #7: cost 3 inf + 72435
1554048253.284 * * [simplify]: Extracting #8: cost 0 inf + 75548
1554048253.306 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554048253.306 * [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 1) (sqrt (sqrt k))))))
1554048253.307 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))
1554048253.307 * * [simplify]: iters left: 6 (16 enodes)
1554048253.317 * * [simplify]: iters left: 5 (69 enodes)
1554048253.343 * * [simplify]: iters left: 4 (113 enodes)
1554048253.362 * * [simplify]: iters left: 3 (191 enodes)
1554048253.400 * * [simplify]: iters left: 2 (381 enodes)
1554048253.528 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048253.529 * * [simplify]: Extracting #1: cost 36 inf + 0
1554048253.529 * * [simplify]: Extracting #2: cost 108 inf + 1
1554048253.530 * * [simplify]: Extracting #3: cost 166 inf + 2
1554048253.532 * * [simplify]: Extracting #4: cost 168 inf + 639
1554048253.535 * * [simplify]: Extracting #5: cost 117 inf + 7263
1554048253.547 * * [simplify]: Extracting #6: cost 47 inf + 36706
1554048253.568 * * [simplify]: Extracting #7: cost 3 inf + 72435
1554048253.580 * * [simplify]: Extracting #8: cost 0 inf + 75548
1554048253.592 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554048253.592 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))))
1554048253.592 * * * * [progress]: [ 152 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))))>
1554048253.592 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))
1554048253.592 * * [simplify]: iters left: 6 (16 enodes)
1554048253.598 * * [simplify]: iters left: 5 (69 enodes)
1554048253.619 * * [simplify]: iters left: 4 (113 enodes)
1554048253.656 * * [simplify]: iters left: 3 (191 enodes)
1554048253.699 * * [simplify]: iters left: 2 (381 enodes)
1554048253.857 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048253.858 * * [simplify]: Extracting #1: cost 36 inf + 0
1554048253.858 * * [simplify]: Extracting #2: cost 108 inf + 1
1554048253.859 * * [simplify]: Extracting #3: cost 166 inf + 2
1554048253.861 * * [simplify]: Extracting #4: cost 168 inf + 639
1554048253.864 * * [simplify]: Extracting #5: cost 117 inf + 7263
1554048253.877 * * [simplify]: Extracting #6: cost 47 inf + 36706
1554048253.899 * * [simplify]: Extracting #7: cost 3 inf + 72435
1554048253.922 * * [simplify]: Extracting #8: cost 0 inf + 75548
1554048253.945 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554048253.945 * [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 1) (sqrt (sqrt k))))))
1554048253.945 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k))))
1554048253.945 * * [simplify]: iters left: 6 (16 enodes)
1554048253.950 * * [simplify]: iters left: 5 (69 enodes)
1554048253.964 * * [simplify]: iters left: 4 (113 enodes)
1554048253.984 * * [simplify]: iters left: 3 (191 enodes)
1554048254.050 * * [simplify]: iters left: 2 (381 enodes)
1554048254.215 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048254.216 * * [simplify]: Extracting #1: cost 36 inf + 0
1554048254.216 * * [simplify]: Extracting #2: cost 108 inf + 1
1554048254.216 * * [simplify]: Extracting #3: cost 166 inf + 2
1554048254.217 * * [simplify]: Extracting #4: cost 168 inf + 639
1554048254.219 * * [simplify]: Extracting #5: cost 117 inf + 7263
1554048254.225 * * [simplify]: Extracting #6: cost 47 inf + 36706
1554048254.236 * * [simplify]: Extracting #7: cost 3 inf + 72435
1554048254.248 * * [simplify]: Extracting #8: cost 0 inf + 75548
1554048254.267 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554048254.267 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))))
1554048254.267 * * * * [progress]: [ 153 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))))>
1554048254.267 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))
1554048254.268 * * [simplify]: iters left: 6 (15 enodes)
1554048254.279 * * [simplify]: iters left: 5 (66 enodes)
1554048254.302 * * [simplify]: iters left: 4 (112 enodes)
1554048254.341 * * [simplify]: iters left: 3 (196 enodes)
1554048254.424 * * [simplify]: iters left: 2 (392 enodes)
1554048254.612 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048254.612 * * [simplify]: Extracting #1: cost 39 inf + 0
1554048254.613 * * [simplify]: Extracting #2: cost 125 inf + 1
1554048254.614 * * [simplify]: Extracting #3: cost 179 inf + 3
1554048254.616 * * [simplify]: Extracting #4: cost 182 inf + 432
1554048254.619 * * [simplify]: Extracting #5: cost 135 inf + 7467
1554048254.631 * * [simplify]: Extracting #6: cost 58 inf + 40786
1554048254.661 * * [simplify]: Extracting #7: cost 2 inf + 84070
1554048254.689 * * [simplify]: Extracting #8: cost 0 inf + 84912
1554048254.717 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554048254.717 * [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)) (/ 1 (sqrt (sqrt k))))))
1554048254.718 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))
1554048254.718 * * [simplify]: iters left: 6 (15 enodes)
1554048254.727 * * [simplify]: iters left: 5 (66 enodes)
1554048254.749 * * [simplify]: iters left: 4 (112 enodes)
1554048254.785 * * [simplify]: iters left: 3 (196 enodes)
1554048254.841 * * [simplify]: iters left: 2 (392 enodes)
1554048255.007 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.007 * * [simplify]: Extracting #1: cost 39 inf + 0
1554048255.008 * * [simplify]: Extracting #2: cost 125 inf + 1
1554048255.009 * * [simplify]: Extracting #3: cost 179 inf + 3
1554048255.011 * * [simplify]: Extracting #4: cost 182 inf + 432
1554048255.014 * * [simplify]: Extracting #5: cost 135 inf + 7467
1554048255.026 * * [simplify]: Extracting #6: cost 58 inf + 40786
1554048255.052 * * [simplify]: Extracting #7: cost 2 inf + 84070
1554048255.080 * * [simplify]: Extracting #8: cost 0 inf + 84912
1554048255.110 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554048255.111 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))))
1554048255.111 * * * * [progress]: [ 154 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))))>
1554048255.111 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))
1554048255.111 * * [simplify]: iters left: 6 (15 enodes)
1554048255.121 * * [simplify]: iters left: 5 (66 enodes)
1554048255.139 * * [simplify]: iters left: 4 (112 enodes)
1554048255.160 * * [simplify]: iters left: 3 (196 enodes)
1554048255.225 * * [simplify]: iters left: 2 (392 enodes)
1554048255.358 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.358 * * [simplify]: Extracting #1: cost 39 inf + 0
1554048255.359 * * [simplify]: Extracting #2: cost 125 inf + 1
1554048255.359 * * [simplify]: Extracting #3: cost 179 inf + 3
1554048255.360 * * [simplify]: Extracting #4: cost 182 inf + 432
1554048255.362 * * [simplify]: Extracting #5: cost 135 inf + 7467
1554048255.370 * * [simplify]: Extracting #6: cost 58 inf + 40786
1554048255.384 * * [simplify]: Extracting #7: cost 2 inf + 84070
1554048255.397 * * [simplify]: Extracting #8: cost 0 inf + 84912
1554048255.418 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554048255.418 * [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)) (/ 1 (sqrt (sqrt k))))))
1554048255.419 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k))))
1554048255.419 * * [simplify]: iters left: 6 (15 enodes)
1554048255.427 * * [simplify]: iters left: 5 (66 enodes)
1554048255.450 * * [simplify]: iters left: 4 (112 enodes)
1554048255.492 * * [simplify]: iters left: 3 (196 enodes)
1554048255.566 * * [simplify]: iters left: 2 (392 enodes)
1554048255.674 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.674 * * [simplify]: Extracting #1: cost 39 inf + 0
1554048255.675 * * [simplify]: Extracting #2: cost 125 inf + 1
1554048255.676 * * [simplify]: Extracting #3: cost 179 inf + 3
1554048255.676 * * [simplify]: Extracting #4: cost 182 inf + 432
1554048255.678 * * [simplify]: Extracting #5: cost 135 inf + 7467
1554048255.684 * * [simplify]: Extracting #6: cost 58 inf + 40786
1554048255.705 * * [simplify]: Extracting #7: cost 2 inf + 84070
1554048255.733 * * [simplify]: Extracting #8: cost 0 inf + 84912
1554048255.763 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))
1554048255.763 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k)))))
1554048255.763 * * * * [progress]: [ 155 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k)))))>
1554048255.763 * [simplify]: Simplifying (cbrt (/ 1 (sqrt k)))
1554048255.763 * * [simplify]: iters left: 4 (5 enodes)
1554048255.765 * * [simplify]: iters left: 3 (17 enodes)
1554048255.768 * * [simplify]: iters left: 2 (19 enodes)
1554048255.771 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.771 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048255.771 * * [simplify]: Extracting #2: cost 6 inf + 0
1554048255.771 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.771 * * [simplify]: Extracting #4: cost 0 inf + 572
1554048255.771 * [simplify]: Simplified to (cbrt (/ 1 (sqrt k)))
1554048255.771 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k)))))
1554048255.771 * * * * [progress]: [ 156 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k)))))>
1554048255.771 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k)))
1554048255.771 * * [simplify]: iters left: 4 (5 enodes)
1554048255.773 * * [simplify]: iters left: 3 (17 enodes)
1554048255.775 * * [simplify]: iters left: 2 (19 enodes)
1554048255.778 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.778 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048255.778 * * [simplify]: Extracting #2: cost 6 inf + 0
1554048255.779 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.779 * * [simplify]: Extracting #4: cost 0 inf + 492
1554048255.779 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k)))
1554048255.779 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k)))))
1554048255.779 * * * * [progress]: [ 157 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt 1) (cbrt (sqrt k)))))>
1554048255.779 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k)))
1554048255.779 * * [simplify]: iters left: 4 (6 enodes)
1554048255.783 * * [simplify]: iters left: 3 (20 enodes)
1554048255.789 * * [simplify]: iters left: 2 (22 enodes)
1554048255.795 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.795 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.795 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.795 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.796 * * [simplify]: Extracting #4: cost 1 inf + 488
1554048255.796 * * [simplify]: Extracting #5: cost 0 inf + 650
1554048255.796 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k)))
1554048255.796 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k)))))
1554048255.796 * * * * [progress]: [ 158 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1) (sqrt (cbrt k)))))>
1554048255.796 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k)))
1554048255.797 * * [simplify]: iters left: 4 (6 enodes)
1554048255.800 * * [simplify]: iters left: 3 (20 enodes)
1554048255.806 * * [simplify]: iters left: 2 (22 enodes)
1554048255.809 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.809 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.809 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.809 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.809 * * [simplify]: Extracting #4: cost 1 inf + 568
1554048255.809 * * [simplify]: Extracting #5: cost 0 inf + 730
1554048255.809 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k)))
1554048255.809 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k)))))
1554048255.809 * * * * [progress]: [ 159 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt k)))))>
1554048255.810 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k)))
1554048255.810 * * [simplify]: iters left: 4 (6 enodes)
1554048255.812 * * [simplify]: iters left: 3 (20 enodes)
1554048255.815 * * [simplify]: iters left: 2 (22 enodes)
1554048255.818 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.818 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.818 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.818 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.818 * * [simplify]: Extracting #4: cost 1 inf + 368
1554048255.818 * * [simplify]: Extracting #5: cost 0 inf + 490
1554048255.819 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048255.819 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))
1554048255.819 * * * * [progress]: [ 160 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ (cbrt 1) (sqrt k))))>
1554048255.819 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k))
1554048255.819 * * [simplify]: iters left: 3 (5 enodes)
1554048255.821 * * [simplify]: iters left: 2 (17 enodes)
1554048255.824 * * [simplify]: iters left: 1 (19 enodes)
1554048255.826 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.827 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.827 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.827 * * [simplify]: Extracting #3: cost 0 inf + 248
1554048255.827 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048255.827 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ 1 (sqrt k))))
1554048255.827 * * * * [progress]: [ 161 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt k)))))>
1554048255.827 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k)))
1554048255.827 * * [simplify]: iters left: 4 (6 enodes)
1554048255.829 * * [simplify]: iters left: 3 (20 enodes)
1554048255.832 * * [simplify]: iters left: 2 (22 enodes)
1554048255.835 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.835 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.835 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.835 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.835 * * [simplify]: Extracting #4: cost 1 inf + 368
1554048255.835 * * [simplify]: Extracting #5: cost 0 inf + 490
1554048255.836 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048255.836 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))
1554048255.836 * * * * [progress]: [ 162 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (sqrt k))))>
1554048255.836 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k))
1554048255.836 * * [simplify]: iters left: 3 (5 enodes)
1554048255.839 * * [simplify]: iters left: 2 (17 enodes)
1554048255.844 * * [simplify]: iters left: 1 (19 enodes)
1554048255.849 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.849 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.849 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.849 * * [simplify]: Extracting #3: cost 0 inf + 248
1554048255.849 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048255.849 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ 1 (sqrt k))))
1554048255.849 * * * * [progress]: [ 163 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1) (cbrt (sqrt k)))))>
1554048255.850 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k)))
1554048255.850 * * [simplify]: iters left: 4 (6 enodes)
1554048255.853 * * [simplify]: iters left: 3 (20 enodes)
1554048255.859 * * [simplify]: iters left: 2 (22 enodes)
1554048255.866 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.866 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.866 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.866 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.866 * * [simplify]: Extracting #4: cost 1 inf + 488
1554048255.866 * * [simplify]: Extracting #5: cost 0 inf + 650
1554048255.867 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k)))
1554048255.867 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k)))))
1554048255.867 * * * * [progress]: [ 164 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1) (sqrt (cbrt k)))))>
1554048255.867 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k)))
1554048255.867 * * [simplify]: iters left: 4 (6 enodes)
1554048255.873 * * [simplify]: iters left: 3 (20 enodes)
1554048255.879 * * [simplify]: iters left: 2 (22 enodes)
1554048255.882 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.882 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.882 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.882 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.882 * * [simplify]: Extracting #4: cost 1 inf + 568
1554048255.882 * * [simplify]: Extracting #5: cost 0 inf + 730
1554048255.882 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k)))
1554048255.882 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k)))))
1554048255.883 * * * * [progress]: [ 165 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt k)))))>
1554048255.883 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k)))
1554048255.883 * * [simplify]: iters left: 4 (6 enodes)
1554048255.885 * * [simplify]: iters left: 3 (20 enodes)
1554048255.888 * * [simplify]: iters left: 2 (22 enodes)
1554048255.891 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.891 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.891 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.891 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.891 * * [simplify]: Extracting #4: cost 1 inf + 368
1554048255.891 * * [simplify]: Extracting #5: cost 0 inf + 490
1554048255.891 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048255.891 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))
1554048255.891 * * * * [progress]: [ 166 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt 1))) (/ (sqrt 1) (sqrt k))))>
1554048255.892 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k))
1554048255.892 * * [simplify]: iters left: 3 (5 enodes)
1554048255.894 * * [simplify]: iters left: 2 (17 enodes)
1554048255.897 * * [simplify]: iters left: 1 (19 enodes)
1554048255.900 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.900 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.900 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.900 * * [simplify]: Extracting #3: cost 0 inf + 248
1554048255.900 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048255.900 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt 1))) (/ 1 (sqrt k))))
1554048255.900 * * * * [progress]: [ 167 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt k)))))>
1554048255.900 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k)))
1554048255.900 * * [simplify]: iters left: 4 (6 enodes)
1554048255.902 * * [simplify]: iters left: 3 (20 enodes)
1554048255.905 * * [simplify]: iters left: 2 (22 enodes)
1554048255.908 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.909 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.909 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.909 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.909 * * [simplify]: Extracting #4: cost 1 inf + 368
1554048255.909 * * [simplify]: Extracting #5: cost 0 inf + 490
1554048255.909 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048255.909 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))
1554048255.909 * * * * [progress]: [ 168 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (/ (sqrt 1) (sqrt k))))>
1554048255.910 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k))
1554048255.910 * * [simplify]: iters left: 3 (5 enodes)
1554048255.914 * * [simplify]: iters left: 2 (17 enodes)
1554048255.919 * * [simplify]: iters left: 1 (19 enodes)
1554048255.924 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.924 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.924 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.924 * * [simplify]: Extracting #3: cost 0 inf + 248
1554048255.925 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048255.925 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (/ 1 (sqrt k))))
1554048255.925 * * * * [progress]: [ 169 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k)))))>
1554048255.925 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k)))
1554048255.925 * * [simplify]: iters left: 4 (5 enodes)
1554048255.928 * * [simplify]: iters left: 3 (17 enodes)
1554048255.933 * * [simplify]: iters left: 2 (19 enodes)
1554048255.938 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.938 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.938 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.938 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.939 * * [simplify]: Extracting #4: cost 0 inf + 650
1554048255.939 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k)))
1554048255.939 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k)))))
1554048255.939 * * * * [progress]: [ 170 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k)))))>
1554048255.939 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k)))
1554048255.939 * * [simplify]: iters left: 4 (5 enodes)
1554048255.942 * * [simplify]: iters left: 3 (17 enodes)
1554048255.947 * * [simplify]: iters left: 2 (19 enodes)
1554048255.953 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.953 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.953 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.953 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.953 * * [simplify]: Extracting #4: cost 0 inf + 730
1554048255.954 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k)))
1554048255.954 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k)))))
1554048255.954 * * * * [progress]: [ 171 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))>
1554048255.954 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554048255.954 * * [simplify]: iters left: 4 (5 enodes)
1554048255.957 * * [simplify]: iters left: 3 (17 enodes)
1554048255.962 * * [simplify]: iters left: 2 (19 enodes)
1554048255.968 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.968 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.968 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.968 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.968 * * [simplify]: Extracting #4: cost 0 inf + 490
1554048255.969 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048255.969 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))
1554048255.969 * * * * [progress]: [ 172 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt 1))) (/ 1 (sqrt k))))>
1554048255.969 * [simplify]: Simplifying (/ 1 (sqrt k))
1554048255.969 * * [simplify]: iters left: 3 (4 enodes)
1554048255.972 * * [simplify]: iters left: 2 (14 enodes)
1554048255.977 * * [simplify]: iters left: 1 (16 enodes)
1554048255.982 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.982 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.982 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.982 * * [simplify]: Extracting #3: cost 3 inf + 43
1554048255.982 * * [simplify]: Extracting #4: cost 1 inf + 166
1554048255.982 * * [simplify]: Extracting #5: cost 0 inf + 248
1554048255.982 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048255.982 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt 1))) (/ 1 (sqrt k))))
1554048255.982 * * * * [progress]: [ 173 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))>
1554048255.983 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1554048255.983 * * [simplify]: iters left: 4 (5 enodes)
1554048255.985 * * [simplify]: iters left: 3 (17 enodes)
1554048255.991 * * [simplify]: iters left: 2 (19 enodes)
1554048255.997 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048255.997 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048255.997 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048255.997 * * [simplify]: Extracting #3: cost 7 inf + 1
1554048255.997 * * [simplify]: Extracting #4: cost 0 inf + 490
1554048255.998 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1554048255.998 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))))
1554048255.998 * * * * [progress]: [ 174 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 1)) (/ 1 (sqrt k))))>
1554048255.998 * [simplify]: Simplifying (/ 1 (sqrt k))
1554048255.998 * * [simplify]: iters left: 3 (4 enodes)
1554048256.000 * * [simplify]: iters left: 2 (14 enodes)
1554048256.007 * * [simplify]: iters left: 1 (16 enodes)
1554048256.012 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048256.012 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048256.012 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048256.012 * * [simplify]: Extracting #3: cost 3 inf + 43
1554048256.012 * * [simplify]: Extracting #4: cost 1 inf + 166
1554048256.012 * * [simplify]: Extracting #5: cost 0 inf + 248
1554048256.013 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048256.013 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 1)) (/ 1 (sqrt k))))
1554048256.013 * * * * [progress]: [ 175 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k))))>
1554048256.013 * [simplify]: Simplifying (/ 1 (sqrt k))
1554048256.014 * * [simplify]: iters left: 3 (4 enodes)
1554048256.016 * * [simplify]: iters left: 2 (14 enodes)
1554048256.020 * * [simplify]: iters left: 1 (16 enodes)
1554048256.025 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048256.025 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048256.025 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048256.025 * * [simplify]: Extracting #3: cost 3 inf + 43
1554048256.025 * * [simplify]: Extracting #4: cost 1 inf + 166
1554048256.025 * * [simplify]: Extracting #5: cost 0 inf + 248
1554048256.025 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048256.025 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k))))
1554048256.025 * * * * [progress]: [ 176 / 197 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k))))>
1554048256.026 * [simplify]: Simplifying (/ 1 (sqrt k))
1554048256.026 * * [simplify]: iters left: 3 (4 enodes)
1554048256.027 * * [simplify]: iters left: 2 (14 enodes)
1554048256.029 * * [simplify]: iters left: 1 (16 enodes)
1554048256.032 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048256.032 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048256.032 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048256.032 * * [simplify]: Extracting #3: cost 3 inf + 43
1554048256.032 * * [simplify]: Extracting #4: cost 1 inf + 166
1554048256.032 * * [simplify]: Extracting #5: cost 0 inf + 248
1554048256.032 * [simplify]: Simplified to (/ 1 (sqrt k))
1554048256.032 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k))))
1554048256.032 * * * * [progress]: [ 177 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))>
1554048256.032 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
1554048256.032 * * [simplify]: iters left: 5 (7 enodes)
1554048256.035 * * [simplify]: iters left: 4 (32 enodes)
1554048256.041 * * [simplify]: iters left: 3 (57 enodes)
1554048256.051 * * [simplify]: iters left: 2 (88 enodes)
1554048256.080 * * [simplify]: iters left: 1 (156 enodes)
1554048256.145 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048256.145 * * [simplify]: Extracting #1: cost 13 inf + 0
1554048256.145 * * [simplify]: Extracting #2: cost 49 inf + 2
1554048256.145 * * [simplify]: Extracting #3: cost 80 inf + 6
1554048256.147 * * [simplify]: Extracting #4: cost 58 inf + 1840
1554048256.150 * * [simplify]: Extracting #5: cost 22 inf + 9206
1554048256.155 * * [simplify]: Extracting #6: cost 1 inf + 20886
1554048256.161 * * [simplify]: Extracting #7: cost 0 inf + 21301
1554048256.167 * * [simplify]: Extracting #8: cost 0 inf + 21130
1554048256.173 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
1554048256.173 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))
1554048256.173 * * * * [progress]: [ 178 / 197 ] 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))) (/ 1 (sqrt k)))))>
1554048256.174 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
1554048256.174 * * [simplify]: iters left: 6 (12 enodes)
1554048256.181 * * [simplify]: iters left: 5 (51 enodes)
1554048256.199 * * [simplify]: iters left: 4 (84 enodes)
1554048256.222 * * [simplify]: iters left: 3 (125 enodes)
1554048256.242 * * [simplify]: iters left: 2 (198 enodes)
1554048256.299 * * [simplify]: iters left: 1 (353 enodes)
1554048256.453 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048256.454 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048256.454 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048256.454 * * [simplify]: Extracting #3: cost 28 inf + 0
1554048256.454 * * [simplify]: Extracting #4: cost 101 inf + 1
1554048256.455 * * [simplify]: Extracting #5: cost 136 inf + 176
1554048256.455 * * [simplify]: Extracting #6: cost 126 inf + 1348
1554048256.458 * * [simplify]: Extracting #7: cost 70 inf + 12457
1554048256.465 * * [simplify]: Extracting #8: cost 19 inf + 42176
1554048256.474 * * [simplify]: Extracting #9: cost 0 inf + 57297
1554048256.484 * * [simplify]: Extracting #10: cost 0 inf + 56855
1554048256.494 * * [simplify]: Extracting #11: cost 0 inf + 56816
1554048256.503 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
1554048256.503 * [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))) (/ 1 (sqrt k)))))
1554048256.503 * * * * [progress]: [ 179 / 197 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k)))))>
1554048256.504 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
1554048256.504 * * [simplify]: iters left: 6 (11 enodes)
1554048256.507 * * [simplify]: iters left: 5 (48 enodes)
1554048256.515 * * [simplify]: iters left: 4 (78 enodes)
1554048256.533 * * [simplify]: iters left: 3 (120 enodes)
1554048256.573 * * [simplify]: iters left: 2 (211 enodes)
1554048256.619 * * [simplify]: iters left: 1 (380 enodes)
1554048256.762 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048256.762 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048256.762 * * [simplify]: Extracting #2: cost 29 inf + 0
1554048256.763 * * [simplify]: Extracting #3: cost 113 inf + 1
1554048256.763 * * [simplify]: Extracting #4: cost 155 inf + 220
1554048256.764 * * [simplify]: Extracting #5: cost 153 inf + 561
1554048256.765 * * [simplify]: Extracting #6: cost 121 inf + 2833
1554048256.768 * * [simplify]: Extracting #7: cost 68 inf + 14038
1554048256.775 * * [simplify]: Extracting #8: cost 15 inf + 50044
1554048256.786 * * [simplify]: Extracting #9: cost 0 inf + 59395
1554048256.801 * * [simplify]: Extracting #10: cost 0 inf + 59194
1554048256.821 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
1554048256.822 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k)))))
1554048256.822 * * * * [progress]: [ 180 / 197 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))>
1554048256.822 * * * * [progress]: [ 181 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt k)))))>
1554048256.822 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
1554048256.822 * * [simplify]: iters left: 6 (11 enodes)
1554048256.829 * * [simplify]: iters left: 5 (51 enodes)
1554048256.851 * * [simplify]: iters left: 4 (87 enodes)
1554048256.881 * * [simplify]: iters left: 3 (143 enodes)
1554048256.909 * * [simplify]: iters left: 2 (259 enodes)
1554048256.982 * * [simplify]: iters left: 1 (469 enodes)
1554048257.261 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048257.261 * * [simplify]: Extracting #1: cost 24 inf + 0
1554048257.262 * * [simplify]: Extracting #2: cost 110 inf + 1
1554048257.263 * * [simplify]: Extracting #3: cost 192 inf + 178
1554048257.266 * * [simplify]: Extracting #4: cost 178 inf + 1845
1554048257.273 * * [simplify]: Extracting #5: cost 89 inf + 12477
1554048257.284 * * [simplify]: Extracting #6: cost 41 inf + 28219
1554048257.308 * * [simplify]: Extracting #7: cost 4 inf + 58625
1554048257.329 * * [simplify]: Extracting #8: cost 0 inf + 62670
1554048257.350 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k)))
1554048257.350 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt k)))))
1554048257.350 * * * * [progress]: [ 182 / 197 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
1554048257.350 * [simplify]: Simplifying (sqrt k)
1554048257.351 * * [simplify]: iters left: 1 (2 enodes)
1554048257.351 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048257.351 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048257.351 * * [simplify]: Extracting #2: cost 2 inf + 1
1554048257.352 * * [simplify]: Extracting #3: cost 0 inf + 83
1554048257.352 * [simplify]: Simplified to (sqrt k)
1554048257.352 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))
1554048257.352 * * * * [progress]: [ 183 / 197 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ 1 2)) (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ k 2))))>
1554048257.352 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (/ 1 (sqrt k)))
1554048257.352 * * [simplify]: iters left: 6 (12 enodes)
1554048257.360 * * [simplify]: iters left: 5 (50 enodes)
1554048257.380 * * [simplify]: iters left: 4 (88 enodes)
1554048257.400 * * [simplify]: iters left: 3 (169 enodes)
1554048257.441 * * [simplify]: iters left: 2 (291 enodes)
1554048257.555 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048257.555 * * [simplify]: Extracting #1: cost 31 inf + 0
1554048257.555 * * [simplify]: Extracting #2: cost 95 inf + 1
1554048257.556 * * [simplify]: Extracting #3: cost 95 inf + 50
1554048257.556 * * [simplify]: Extracting #4: cost 85 inf + 844
1554048257.558 * * [simplify]: Extracting #5: cost 34 inf + 22508
1554048257.564 * * [simplify]: Extracting #6: cost 0 inf + 45097
1554048257.570 * * [simplify]: Extracting #7: cost 0 inf + 44362
1554048257.581 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k))
1554048257.581 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2))))
1554048257.582 * * * * [progress]: [ 184 / 197 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))>
1554048257.582 * * * * [progress]: [ 185 / 197 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
1554048257.582 * * * * [progress]: [ 186 / 197 ] 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))))) (/ 1 (sqrt k))))>
1554048257.582 * [simplify]: Simplifying (- (+ (* 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)))))
1554048257.583 * * [simplify]: iters left: 6 (37 enodes)
1554048257.608 * * [simplify]: iters left: 5 (190 enodes)
1554048257.687 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048257.687 * * [simplify]: Extracting #1: cost 22 inf + 0
1554048257.687 * * [simplify]: Extracting #2: cost 108 inf + 1
1554048257.688 * * [simplify]: Extracting #3: cost 171 inf + 46
1554048257.690 * * [simplify]: Extracting #4: cost 189 inf + 427
1554048257.694 * * [simplify]: Extracting #5: cost 128 inf + 16032
1554048257.704 * * [simplify]: Extracting #6: cost 29 inf + 57153
1554048257.718 * * [simplify]: Extracting #7: cost 4 inf + 75884
1554048257.736 * * [simplify]: Extracting #8: cost 0 inf + 78767
1554048257.764 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2)))
1554048257.764 * [simplify]: Simplified (2 1) to (λ (k n) (* (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (/ 1 (sqrt k))))
1554048257.764 * * * * [progress]: [ 187 / 197 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (/ 1 (sqrt k))))>
1554048257.765 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554048257.765 * * [simplify]: iters left: 6 (15 enodes)
1554048257.774 * * [simplify]: iters left: 5 (65 enodes)
1554048257.797 * * [simplify]: iters left: 4 (123 enodes)
1554048257.835 * * [simplify]: iters left: 3 (367 enodes)
1554048258.033 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048258.034 * * [simplify]: Extracting #1: cost 37 inf + 0
1554048258.034 * * [simplify]: Extracting #2: cost 216 inf + 72
1554048258.036 * * [simplify]: Extracting #3: cost 356 inf + 1622
1554048258.045 * * [simplify]: Extracting #4: cost 219 inf + 28945
1554048258.077 * * [simplify]: Extracting #5: cost 21 inf + 83197
1554048258.109 * * [simplify]: Extracting #6: cost 0 inf + 89881
1554048258.141 * * [simplify]: Extracting #7: cost 0 inf + 89729
1554048258.173 * * [simplify]: Extracting #8: cost 0 inf + 89726
1554048258.208 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))
1554048258.208 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (/ 1 (sqrt k))))
1554048258.208 * * * * [progress]: [ 188 / 197 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (/ 1 (sqrt k))))>
1554048258.208 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554048258.208 * * [simplify]: iters left: 6 (16 enodes)
1554048258.218 * * [simplify]: iters left: 5 (67 enodes)
1554048258.243 * * [simplify]: iters left: 4 (134 enodes)
1554048258.278 * * [simplify]: iters left: 3 (413 enodes)
1554048258.489 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048258.489 * * [simplify]: Extracting #1: cost 39 inf + 0
1554048258.490 * * [simplify]: Extracting #2: cost 241 inf + 72
1554048258.493 * * [simplify]: Extracting #3: cost 450 inf + 903
1554048258.498 * * [simplify]: Extracting #4: cost 376 inf + 10375
1554048258.518 * * [simplify]: Extracting #5: cost 158 inf + 67083
1554048258.539 * * [simplify]: Extracting #6: cost 12 inf + 118840
1554048258.578 * * [simplify]: Extracting #7: cost 0 inf + 121984
1554048258.610 * * [simplify]: Extracting #8: cost 0 inf + 121983
1554048258.637 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))
1554048258.637 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 (sqrt k))))
1554048258.638 * * * * [progress]: [ 189 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))))>
1554048258.638 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1554048258.638 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0))
1554048258.638 * * * * [progress]: [ 190 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))))>
1554048258.638 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1554048258.639 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0))
1554048258.639 * * * * [progress]: [ 191 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))))>
1554048258.639 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1554048258.639 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0))
1554048258.639 * * * * [progress]: [ 192 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048258.639 * [simplify]: Simplifying (* 2 (* n PI))
1554048258.640 * * [simplify]: iters left: 4 (5 enodes)
1554048258.642 * * [simplify]: iters left: 3 (19 enodes)
1554048258.648 * * [simplify]: iters left: 2 (27 enodes)
1554048258.657 * * [simplify]: iters left: 1 (32 enodes)
1554048258.665 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048258.665 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048258.665 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048258.665 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048258.665 * [simplify]: Simplified to (* (* PI n) 2)
1554048258.665 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048258.666 * * * * [progress]: [ 193 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048258.666 * [simplify]: Simplifying (* 2 (* n PI))
1554048258.666 * * [simplify]: iters left: 4 (5 enodes)
1554048258.669 * * [simplify]: iters left: 3 (19 enodes)
1554048258.672 * * [simplify]: iters left: 2 (27 enodes)
1554048258.675 * * [simplify]: iters left: 1 (32 enodes)
1554048258.681 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048258.681 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048258.681 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048258.681 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048258.681 * [simplify]: Simplified to (* (* PI n) 2)
1554048258.681 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048258.681 * * * * [progress]: [ 194 / 197 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1554048258.681 * [simplify]: Simplifying (* 2 (* n PI))
1554048258.681 * * [simplify]: iters left: 4 (5 enodes)
1554048258.683 * * [simplify]: iters left: 3 (19 enodes)
1554048258.686 * * [simplify]: iters left: 2 (27 enodes)
1554048258.690 * * [simplify]: iters left: 1 (32 enodes)
1554048258.694 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048258.694 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048258.694 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048258.694 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048258.694 * [simplify]: Simplified to (* (* PI n) 2)
1554048258.694 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k))))
1554048258.694 * * * * [progress]: [ 195 / 197 ] 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)))))))))))))))))))))))>
1554048258.694 * [simplify]: Simplifying (- (+ (* +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))))))))))))))))))))))
1554048258.694 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554048258.695 * * * * [progress]: [ 196 / 197 ] 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)))))))))>
1554048258.695 * [simplify]: Simplifying (- (+ (* +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))))))))
1554048258.695 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554048258.695 * * * * [progress]: [ 197 / 197 ] 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)))))))))))))>
1554048258.695 * [simplify]: Simplifying (- (+ (* +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))))))))))))
1554048258.695 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554048258.696 * * * [progress]: adding candidates to table
1554048260.965 * * [progress]: iteration 3 / 4
1554048260.965 * * * [progress]: picking best candidate
1554048260.997 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048260.997 * * * [progress]: localizing error
1554048261.028 * * * [progress]: generating rewritten candidates
1554048261.029 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1554048261.045 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1554048261.071 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1554048261.124 * * * [progress]: generating series expansions
1554048261.124 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1554048261.125 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
1554048261.125 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
1554048261.125 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1554048261.125 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1554048261.125 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1554048261.125 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1554048261.125 * [taylor]: Taking taylor expansion of 1/2 in k
1554048261.125 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.125 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048261.125 * [taylor]: Taking taylor expansion of 1 in k
1554048261.125 * [backup-simplify]: Simplify 1 into 1
1554048261.125 * [taylor]: Taking taylor expansion of k in k
1554048261.125 * [backup-simplify]: Simplify 0 into 0
1554048261.125 * [backup-simplify]: Simplify 1 into 1
1554048261.125 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554048261.125 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554048261.125 * [taylor]: Taking taylor expansion of 2 in k
1554048261.126 * [backup-simplify]: Simplify 2 into 2
1554048261.126 * [taylor]: Taking taylor expansion of (* n PI) in k
1554048261.126 * [taylor]: Taking taylor expansion of n in k
1554048261.126 * [backup-simplify]: Simplify n into n
1554048261.126 * [taylor]: Taking taylor expansion of PI in k
1554048261.126 * [backup-simplify]: Simplify PI into PI
1554048261.126 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554048261.126 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554048261.126 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554048261.126 * [backup-simplify]: Simplify (- 0) into 0
1554048261.127 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048261.127 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554048261.127 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1554048261.127 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1554048261.127 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554048261.128 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048261.128 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048261.128 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554048261.128 * [taylor]: Taking taylor expansion of 1/2 in n
1554048261.128 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.128 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048261.128 * [taylor]: Taking taylor expansion of 1 in n
1554048261.128 * [backup-simplify]: Simplify 1 into 1
1554048261.128 * [taylor]: Taking taylor expansion of k in n
1554048261.128 * [backup-simplify]: Simplify k into k
1554048261.128 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048261.128 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048261.128 * [taylor]: Taking taylor expansion of 2 in n
1554048261.128 * [backup-simplify]: Simplify 2 into 2
1554048261.128 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048261.128 * [taylor]: Taking taylor expansion of n in n
1554048261.128 * [backup-simplify]: Simplify 0 into 0
1554048261.128 * [backup-simplify]: Simplify 1 into 1
1554048261.128 * [taylor]: Taking taylor expansion of PI in n
1554048261.128 * [backup-simplify]: Simplify PI into PI
1554048261.128 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048261.129 * [backup-simplify]: Simplify (* 2 0) into 0
1554048261.130 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048261.132 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048261.133 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048261.133 * [backup-simplify]: Simplify (- k) into (- k)
1554048261.133 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048261.133 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554048261.135 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048261.136 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048261.137 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048261.137 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554048261.137 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048261.137 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048261.137 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554048261.137 * [taylor]: Taking taylor expansion of 1/2 in n
1554048261.137 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.137 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048261.137 * [taylor]: Taking taylor expansion of 1 in n
1554048261.137 * [backup-simplify]: Simplify 1 into 1
1554048261.137 * [taylor]: Taking taylor expansion of k in n
1554048261.137 * [backup-simplify]: Simplify k into k
1554048261.137 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048261.137 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048261.137 * [taylor]: Taking taylor expansion of 2 in n
1554048261.137 * [backup-simplify]: Simplify 2 into 2
1554048261.137 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048261.137 * [taylor]: Taking taylor expansion of n in n
1554048261.137 * [backup-simplify]: Simplify 0 into 0
1554048261.137 * [backup-simplify]: Simplify 1 into 1
1554048261.137 * [taylor]: Taking taylor expansion of PI in n
1554048261.137 * [backup-simplify]: Simplify PI into PI
1554048261.137 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048261.138 * [backup-simplify]: Simplify (* 2 0) into 0
1554048261.139 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048261.139 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048261.140 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048261.140 * [backup-simplify]: Simplify (- k) into (- k)
1554048261.140 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048261.140 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554048261.141 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048261.142 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048261.142 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048261.142 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554048261.142 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554048261.142 * [taylor]: Taking taylor expansion of 1/2 in k
1554048261.142 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.142 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554048261.143 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048261.143 * [taylor]: Taking taylor expansion of 1 in k
1554048261.143 * [backup-simplify]: Simplify 1 into 1
1554048261.143 * [taylor]: Taking taylor expansion of k in k
1554048261.143 * [backup-simplify]: Simplify 0 into 0
1554048261.143 * [backup-simplify]: Simplify 1 into 1
1554048261.143 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554048261.143 * [taylor]: Taking taylor expansion of (log n) in k
1554048261.143 * [taylor]: Taking taylor expansion of n in k
1554048261.143 * [backup-simplify]: Simplify n into n
1554048261.143 * [backup-simplify]: Simplify (log n) into (log n)
1554048261.143 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048261.143 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048261.143 * [taylor]: Taking taylor expansion of 2 in k
1554048261.143 * [backup-simplify]: Simplify 2 into 2
1554048261.143 * [taylor]: Taking taylor expansion of PI in k
1554048261.143 * [backup-simplify]: Simplify PI into PI
1554048261.143 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048261.144 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048261.144 * [backup-simplify]: Simplify (- 0) into 0
1554048261.144 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048261.145 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048261.145 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554048261.146 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1554048261.147 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554048261.147 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554048261.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554048261.148 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554048261.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048261.150 * [backup-simplify]: Simplify (- 0) into 0
1554048261.150 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1554048261.151 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048261.152 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554048261.153 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048261.153 * [taylor]: Taking taylor expansion of 0 in k
1554048261.153 * [backup-simplify]: Simplify 0 into 0
1554048261.153 * [backup-simplify]: Simplify 0 into 0
1554048261.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554048261.154 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048261.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048261.155 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.155 * [backup-simplify]: Simplify (- 1) into -1
1554048261.155 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048261.156 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554048261.158 * [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)))))
1554048261.161 * [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)))))))
1554048261.164 * [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)))))))
1554048261.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048261.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554048261.170 * [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
1554048261.170 * [backup-simplify]: Simplify (- 0) into 0
1554048261.171 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554048261.173 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048261.174 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048261.177 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048261.177 * [taylor]: Taking taylor expansion of 0 in k
1554048261.177 * [backup-simplify]: Simplify 0 into 0
1554048261.177 * [backup-simplify]: Simplify 0 into 0
1554048261.177 * [backup-simplify]: Simplify 0 into 0
1554048261.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554048261.180 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048261.182 * [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
1554048261.182 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.182 * [backup-simplify]: Simplify (- 0) into 0
1554048261.183 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048261.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048261.188 * [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)))))
1554048261.191 * [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)))))
1554048261.196 * [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)))))
1554048261.197 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
1554048261.197 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1554048261.197 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1554048261.197 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554048261.197 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554048261.197 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1554048261.197 * [taylor]: Taking taylor expansion of 1/2 in k
1554048261.197 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.197 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048261.197 * [taylor]: Taking taylor expansion of 1 in k
1554048261.197 * [backup-simplify]: Simplify 1 into 1
1554048261.197 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048261.197 * [taylor]: Taking taylor expansion of k in k
1554048261.197 * [backup-simplify]: Simplify 0 into 0
1554048261.197 * [backup-simplify]: Simplify 1 into 1
1554048261.197 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048261.197 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554048261.197 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554048261.197 * [taylor]: Taking taylor expansion of 2 in k
1554048261.197 * [backup-simplify]: Simplify 2 into 2
1554048261.197 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048261.197 * [taylor]: Taking taylor expansion of PI in k
1554048261.197 * [backup-simplify]: Simplify PI into PI
1554048261.197 * [taylor]: Taking taylor expansion of n in k
1554048261.197 * [backup-simplify]: Simplify n into n
1554048261.198 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048261.198 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554048261.198 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554048261.198 * [backup-simplify]: Simplify (- 1) into -1
1554048261.198 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048261.198 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1554048261.198 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1554048261.199 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554048261.199 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554048261.199 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048261.199 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048261.199 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554048261.199 * [taylor]: Taking taylor expansion of 1/2 in n
1554048261.199 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.199 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048261.199 * [taylor]: Taking taylor expansion of 1 in n
1554048261.199 * [backup-simplify]: Simplify 1 into 1
1554048261.199 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048261.199 * [taylor]: Taking taylor expansion of k in n
1554048261.199 * [backup-simplify]: Simplify k into k
1554048261.199 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048261.199 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048261.199 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048261.199 * [taylor]: Taking taylor expansion of 2 in n
1554048261.199 * [backup-simplify]: Simplify 2 into 2
1554048261.199 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048261.199 * [taylor]: Taking taylor expansion of PI in n
1554048261.199 * [backup-simplify]: Simplify PI into PI
1554048261.199 * [taylor]: Taking taylor expansion of n in n
1554048261.199 * [backup-simplify]: Simplify 0 into 0
1554048261.199 * [backup-simplify]: Simplify 1 into 1
1554048261.199 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048261.200 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048261.200 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048261.200 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048261.200 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048261.200 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554048261.201 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048261.202 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048261.203 * [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)))))
1554048261.203 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554048261.203 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048261.203 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048261.203 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554048261.203 * [taylor]: Taking taylor expansion of 1/2 in n
1554048261.203 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.203 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048261.203 * [taylor]: Taking taylor expansion of 1 in n
1554048261.203 * [backup-simplify]: Simplify 1 into 1
1554048261.203 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048261.203 * [taylor]: Taking taylor expansion of k in n
1554048261.203 * [backup-simplify]: Simplify k into k
1554048261.203 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048261.203 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048261.203 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048261.203 * [taylor]: Taking taylor expansion of 2 in n
1554048261.203 * [backup-simplify]: Simplify 2 into 2
1554048261.203 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048261.203 * [taylor]: Taking taylor expansion of PI in n
1554048261.203 * [backup-simplify]: Simplify PI into PI
1554048261.203 * [taylor]: Taking taylor expansion of n in n
1554048261.203 * [backup-simplify]: Simplify 0 into 0
1554048261.203 * [backup-simplify]: Simplify 1 into 1
1554048261.203 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048261.204 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048261.204 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048261.205 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048261.205 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048261.205 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554048261.205 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048261.206 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048261.207 * [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)))))
1554048261.207 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554048261.207 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554048261.207 * [taylor]: Taking taylor expansion of 1/2 in k
1554048261.207 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.207 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554048261.207 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048261.207 * [taylor]: Taking taylor expansion of 1 in k
1554048261.207 * [backup-simplify]: Simplify 1 into 1
1554048261.207 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048261.207 * [taylor]: Taking taylor expansion of k in k
1554048261.207 * [backup-simplify]: Simplify 0 into 0
1554048261.207 * [backup-simplify]: Simplify 1 into 1
1554048261.207 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048261.207 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554048261.207 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048261.207 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048261.207 * [taylor]: Taking taylor expansion of 2 in k
1554048261.207 * [backup-simplify]: Simplify 2 into 2
1554048261.207 * [taylor]: Taking taylor expansion of PI in k
1554048261.207 * [backup-simplify]: Simplify PI into PI
1554048261.208 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048261.208 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048261.208 * [taylor]: Taking taylor expansion of (log n) in k
1554048261.208 * [taylor]: Taking taylor expansion of n in k
1554048261.208 * [backup-simplify]: Simplify n into n
1554048261.208 * [backup-simplify]: Simplify (log n) into (log n)
1554048261.209 * [backup-simplify]: Simplify (- 1) into -1
1554048261.209 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048261.209 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048261.210 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554048261.211 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554048261.213 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1554048261.214 * [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)))))
1554048261.215 * [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)))))
1554048261.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048261.217 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048261.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048261.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048261.219 * [backup-simplify]: Simplify (- 0) into 0
1554048261.219 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1554048261.221 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048261.222 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554048261.224 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048261.224 * [taylor]: Taking taylor expansion of 0 in k
1554048261.224 * [backup-simplify]: Simplify 0 into 0
1554048261.224 * [backup-simplify]: Simplify 0 into 0
1554048261.225 * [backup-simplify]: Simplify 0 into 0
1554048261.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.227 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048261.236 * [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
1554048261.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048261.237 * [backup-simplify]: Simplify (- 0) into 0
1554048261.237 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554048261.240 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048261.241 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554048261.244 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048261.244 * [taylor]: Taking taylor expansion of 0 in k
1554048261.244 * [backup-simplify]: Simplify 0 into 0
1554048261.244 * [backup-simplify]: Simplify 0 into 0
1554048261.244 * [backup-simplify]: Simplify 0 into 0
1554048261.244 * [backup-simplify]: Simplify 0 into 0
1554048261.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048261.252 * [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
1554048261.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048261.253 * [backup-simplify]: Simplify (- 0) into 0
1554048261.253 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554048261.256 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048261.257 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554048261.260 * [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
1554048261.260 * [taylor]: Taking taylor expansion of 0 in k
1554048261.260 * [backup-simplify]: Simplify 0 into 0
1554048261.260 * [backup-simplify]: Simplify 0 into 0
1554048261.261 * [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))))))
1554048261.262 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
1554048261.262 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1554048261.262 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1554048261.262 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554048261.262 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554048261.262 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1554048261.262 * [taylor]: Taking taylor expansion of 1/2 in k
1554048261.262 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.262 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048261.262 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048261.262 * [taylor]: Taking taylor expansion of k in k
1554048261.262 * [backup-simplify]: Simplify 0 into 0
1554048261.262 * [backup-simplify]: Simplify 1 into 1
1554048261.263 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048261.263 * [taylor]: Taking taylor expansion of 1 in k
1554048261.263 * [backup-simplify]: Simplify 1 into 1
1554048261.263 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554048261.263 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554048261.263 * [taylor]: Taking taylor expansion of -2 in k
1554048261.263 * [backup-simplify]: Simplify -2 into -2
1554048261.263 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048261.263 * [taylor]: Taking taylor expansion of PI in k
1554048261.263 * [backup-simplify]: Simplify PI into PI
1554048261.263 * [taylor]: Taking taylor expansion of n in k
1554048261.263 * [backup-simplify]: Simplify n into n
1554048261.263 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048261.263 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554048261.263 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554048261.264 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048261.264 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554048261.264 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1554048261.264 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554048261.264 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554048261.264 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048261.264 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048261.264 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554048261.264 * [taylor]: Taking taylor expansion of 1/2 in n
1554048261.264 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.264 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048261.265 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048261.265 * [taylor]: Taking taylor expansion of k in n
1554048261.265 * [backup-simplify]: Simplify k into k
1554048261.265 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048261.265 * [taylor]: Taking taylor expansion of 1 in n
1554048261.265 * [backup-simplify]: Simplify 1 into 1
1554048261.265 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048261.265 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048261.265 * [taylor]: Taking taylor expansion of -2 in n
1554048261.265 * [backup-simplify]: Simplify -2 into -2
1554048261.265 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048261.265 * [taylor]: Taking taylor expansion of PI in n
1554048261.265 * [backup-simplify]: Simplify PI into PI
1554048261.265 * [taylor]: Taking taylor expansion of n in n
1554048261.265 * [backup-simplify]: Simplify 0 into 0
1554048261.265 * [backup-simplify]: Simplify 1 into 1
1554048261.265 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048261.266 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048261.267 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048261.267 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048261.267 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554048261.268 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048261.269 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048261.270 * [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)))))
1554048261.270 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554048261.270 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048261.271 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048261.271 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554048261.271 * [taylor]: Taking taylor expansion of 1/2 in n
1554048261.271 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.271 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048261.271 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048261.271 * [taylor]: Taking taylor expansion of k in n
1554048261.271 * [backup-simplify]: Simplify k into k
1554048261.271 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048261.271 * [taylor]: Taking taylor expansion of 1 in n
1554048261.271 * [backup-simplify]: Simplify 1 into 1
1554048261.271 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048261.271 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048261.271 * [taylor]: Taking taylor expansion of -2 in n
1554048261.271 * [backup-simplify]: Simplify -2 into -2
1554048261.271 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048261.271 * [taylor]: Taking taylor expansion of PI in n
1554048261.271 * [backup-simplify]: Simplify PI into PI
1554048261.271 * [taylor]: Taking taylor expansion of n in n
1554048261.271 * [backup-simplify]: Simplify 0 into 0
1554048261.271 * [backup-simplify]: Simplify 1 into 1
1554048261.272 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048261.272 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048261.273 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048261.273 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048261.273 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554048261.274 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048261.275 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048261.277 * [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)))))
1554048261.277 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554048261.277 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554048261.277 * [taylor]: Taking taylor expansion of 1/2 in k
1554048261.277 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.277 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554048261.277 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048261.277 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048261.277 * [taylor]: Taking taylor expansion of k in k
1554048261.277 * [backup-simplify]: Simplify 0 into 0
1554048261.277 * [backup-simplify]: Simplify 1 into 1
1554048261.277 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048261.277 * [taylor]: Taking taylor expansion of 1 in k
1554048261.277 * [backup-simplify]: Simplify 1 into 1
1554048261.278 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554048261.278 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554048261.278 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554048261.278 * [taylor]: Taking taylor expansion of -2 in k
1554048261.278 * [backup-simplify]: Simplify -2 into -2
1554048261.278 * [taylor]: Taking taylor expansion of PI in k
1554048261.278 * [backup-simplify]: Simplify PI into PI
1554048261.278 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048261.279 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048261.279 * [taylor]: Taking taylor expansion of (log n) in k
1554048261.279 * [taylor]: Taking taylor expansion of n in k
1554048261.279 * [backup-simplify]: Simplify n into n
1554048261.279 * [backup-simplify]: Simplify (log n) into (log n)
1554048261.280 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048261.280 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048261.281 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554048261.282 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554048261.283 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1554048261.284 * [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)))))
1554048261.286 * [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)))))
1554048261.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048261.287 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554048261.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554048261.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048261.290 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1554048261.292 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048261.293 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554048261.295 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048261.295 * [taylor]: Taking taylor expansion of 0 in k
1554048261.295 * [backup-simplify]: Simplify 0 into 0
1554048261.295 * [backup-simplify]: Simplify 0 into 0
1554048261.295 * [backup-simplify]: Simplify 0 into 0
1554048261.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.297 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048261.301 * [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
1554048261.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048261.301 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554048261.304 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048261.305 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554048261.308 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048261.308 * [taylor]: Taking taylor expansion of 0 in k
1554048261.308 * [backup-simplify]: Simplify 0 into 0
1554048261.308 * [backup-simplify]: Simplify 0 into 0
1554048261.308 * [backup-simplify]: Simplify 0 into 0
1554048261.308 * [backup-simplify]: Simplify 0 into 0
1554048261.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.310 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048261.316 * [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
1554048261.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048261.317 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1554048261.319 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048261.321 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1554048261.324 * [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
1554048261.324 * [taylor]: Taking taylor expansion of 0 in k
1554048261.324 * [backup-simplify]: Simplify 0 into 0
1554048261.324 * [backup-simplify]: Simplify 0 into 0
1554048261.325 * [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))))))
1554048261.325 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1554048261.326 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
1554048261.326 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1554048261.326 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048261.326 * [taylor]: Taking taylor expansion of 2 in n
1554048261.326 * [backup-simplify]: Simplify 2 into 2
1554048261.326 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048261.326 * [taylor]: Taking taylor expansion of n in n
1554048261.326 * [backup-simplify]: Simplify 0 into 0
1554048261.326 * [backup-simplify]: Simplify 1 into 1
1554048261.326 * [taylor]: Taking taylor expansion of PI in n
1554048261.326 * [backup-simplify]: Simplify PI into PI
1554048261.326 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048261.326 * [taylor]: Taking taylor expansion of 2 in n
1554048261.326 * [backup-simplify]: Simplify 2 into 2
1554048261.326 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048261.326 * [taylor]: Taking taylor expansion of n in n
1554048261.326 * [backup-simplify]: Simplify 0 into 0
1554048261.326 * [backup-simplify]: Simplify 1 into 1
1554048261.326 * [taylor]: Taking taylor expansion of PI in n
1554048261.326 * [backup-simplify]: Simplify PI into PI
1554048261.327 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048261.327 * [backup-simplify]: Simplify (* 2 0) into 0
1554048261.327 * [backup-simplify]: Simplify 0 into 0
1554048261.329 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048261.330 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048261.331 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048261.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554048261.333 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554048261.333 * [backup-simplify]: Simplify 0 into 0
1554048261.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048261.335 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554048261.335 * [backup-simplify]: Simplify 0 into 0
1554048261.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048261.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554048261.338 * [backup-simplify]: Simplify 0 into 0
1554048261.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048261.341 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1554048261.341 * [backup-simplify]: Simplify 0 into 0
1554048261.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048261.344 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1554048261.344 * [backup-simplify]: Simplify 0 into 0
1554048261.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1554048261.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1554048261.348 * [backup-simplify]: Simplify 0 into 0
1554048261.349 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1554048261.349 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
1554048261.349 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1554048261.349 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048261.349 * [taylor]: Taking taylor expansion of 2 in n
1554048261.349 * [backup-simplify]: Simplify 2 into 2
1554048261.349 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048261.349 * [taylor]: Taking taylor expansion of PI in n
1554048261.349 * [backup-simplify]: Simplify PI into PI
1554048261.349 * [taylor]: Taking taylor expansion of n in n
1554048261.349 * [backup-simplify]: Simplify 0 into 0
1554048261.349 * [backup-simplify]: Simplify 1 into 1
1554048261.350 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048261.350 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048261.350 * [taylor]: Taking taylor expansion of 2 in n
1554048261.350 * [backup-simplify]: Simplify 2 into 2
1554048261.350 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048261.350 * [taylor]: Taking taylor expansion of PI in n
1554048261.350 * [backup-simplify]: Simplify PI into PI
1554048261.350 * [taylor]: Taking taylor expansion of n in n
1554048261.350 * [backup-simplify]: Simplify 0 into 0
1554048261.350 * [backup-simplify]: Simplify 1 into 1
1554048261.351 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048261.351 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048261.352 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048261.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048261.353 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048261.353 * [backup-simplify]: Simplify 0 into 0
1554048261.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.355 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048261.355 * [backup-simplify]: Simplify 0 into 0
1554048261.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.357 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048261.357 * [backup-simplify]: Simplify 0 into 0
1554048261.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.360 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048261.360 * [backup-simplify]: Simplify 0 into 0
1554048261.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.362 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048261.362 * [backup-simplify]: Simplify 0 into 0
1554048261.363 * [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
1554048261.365 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048261.365 * [backup-simplify]: Simplify 0 into 0
1554048261.366 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1554048261.366 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
1554048261.366 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1554048261.366 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048261.366 * [taylor]: Taking taylor expansion of -2 in n
1554048261.366 * [backup-simplify]: Simplify -2 into -2
1554048261.366 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048261.366 * [taylor]: Taking taylor expansion of PI in n
1554048261.366 * [backup-simplify]: Simplify PI into PI
1554048261.366 * [taylor]: Taking taylor expansion of n in n
1554048261.366 * [backup-simplify]: Simplify 0 into 0
1554048261.366 * [backup-simplify]: Simplify 1 into 1
1554048261.367 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048261.367 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048261.367 * [taylor]: Taking taylor expansion of -2 in n
1554048261.367 * [backup-simplify]: Simplify -2 into -2
1554048261.367 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048261.367 * [taylor]: Taking taylor expansion of PI in n
1554048261.367 * [backup-simplify]: Simplify PI into PI
1554048261.367 * [taylor]: Taking taylor expansion of n in n
1554048261.367 * [backup-simplify]: Simplify 0 into 0
1554048261.367 * [backup-simplify]: Simplify 1 into 1
1554048261.368 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048261.368 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048261.369 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048261.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048261.370 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554048261.370 * [backup-simplify]: Simplify 0 into 0
1554048261.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.372 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048261.372 * [backup-simplify]: Simplify 0 into 0
1554048261.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.374 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048261.374 * [backup-simplify]: Simplify 0 into 0
1554048261.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.377 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048261.377 * [backup-simplify]: Simplify 0 into 0
1554048261.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.379 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048261.379 * [backup-simplify]: Simplify 0 into 0
1554048261.385 * [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
1554048261.388 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048261.388 * [backup-simplify]: Simplify 0 into 0
1554048261.388 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1554048261.388 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1554048261.389 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
1554048261.389 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
1554048261.389 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1554048261.389 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1554048261.389 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1554048261.389 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1554048261.389 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1554048261.389 * [taylor]: Taking taylor expansion of 1/2 in k
1554048261.389 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.389 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048261.389 * [taylor]: Taking taylor expansion of 1 in k
1554048261.389 * [backup-simplify]: Simplify 1 into 1
1554048261.390 * [taylor]: Taking taylor expansion of k in k
1554048261.390 * [backup-simplify]: Simplify 0 into 0
1554048261.390 * [backup-simplify]: Simplify 1 into 1
1554048261.390 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554048261.390 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554048261.390 * [taylor]: Taking taylor expansion of 2 in k
1554048261.390 * [backup-simplify]: Simplify 2 into 2
1554048261.390 * [taylor]: Taking taylor expansion of (* n PI) in k
1554048261.390 * [taylor]: Taking taylor expansion of n in k
1554048261.390 * [backup-simplify]: Simplify n into n
1554048261.390 * [taylor]: Taking taylor expansion of PI in k
1554048261.390 * [backup-simplify]: Simplify PI into PI
1554048261.390 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554048261.390 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554048261.390 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554048261.390 * [backup-simplify]: Simplify (- 0) into 0
1554048261.391 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048261.391 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554048261.391 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1554048261.392 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1554048261.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554048261.392 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048261.392 * [taylor]: Taking taylor expansion of k in k
1554048261.392 * [backup-simplify]: Simplify 0 into 0
1554048261.392 * [backup-simplify]: Simplify 1 into 1
1554048261.392 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048261.392 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048261.394 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048261.394 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1554048261.394 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554048261.394 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048261.394 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048261.394 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554048261.394 * [taylor]: Taking taylor expansion of 1/2 in n
1554048261.394 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.394 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048261.394 * [taylor]: Taking taylor expansion of 1 in n
1554048261.394 * [backup-simplify]: Simplify 1 into 1
1554048261.394 * [taylor]: Taking taylor expansion of k in n
1554048261.394 * [backup-simplify]: Simplify k into k
1554048261.394 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048261.395 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048261.395 * [taylor]: Taking taylor expansion of 2 in n
1554048261.395 * [backup-simplify]: Simplify 2 into 2
1554048261.395 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048261.395 * [taylor]: Taking taylor expansion of n in n
1554048261.395 * [backup-simplify]: Simplify 0 into 0
1554048261.395 * [backup-simplify]: Simplify 1 into 1
1554048261.395 * [taylor]: Taking taylor expansion of PI in n
1554048261.395 * [backup-simplify]: Simplify PI into PI
1554048261.395 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048261.396 * [backup-simplify]: Simplify (* 2 0) into 0
1554048261.397 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048261.399 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048261.400 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048261.400 * [backup-simplify]: Simplify (- k) into (- k)
1554048261.400 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048261.400 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554048261.401 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048261.402 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048261.403 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048261.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1554048261.403 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048261.403 * [taylor]: Taking taylor expansion of k in n
1554048261.403 * [backup-simplify]: Simplify k into k
1554048261.404 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048261.404 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1554048261.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048261.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1554048261.404 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1554048261.404 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1554048261.404 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048261.404 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048261.404 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1554048261.404 * [taylor]: Taking taylor expansion of 1/2 in n
1554048261.404 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.404 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048261.404 * [taylor]: Taking taylor expansion of 1 in n
1554048261.404 * [backup-simplify]: Simplify 1 into 1
1554048261.404 * [taylor]: Taking taylor expansion of k in n
1554048261.404 * [backup-simplify]: Simplify k into k
1554048261.404 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048261.404 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048261.404 * [taylor]: Taking taylor expansion of 2 in n
1554048261.404 * [backup-simplify]: Simplify 2 into 2
1554048261.404 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048261.404 * [taylor]: Taking taylor expansion of n in n
1554048261.404 * [backup-simplify]: Simplify 0 into 0
1554048261.404 * [backup-simplify]: Simplify 1 into 1
1554048261.404 * [taylor]: Taking taylor expansion of PI in n
1554048261.404 * [backup-simplify]: Simplify PI into PI
1554048261.405 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048261.406 * [backup-simplify]: Simplify (* 2 0) into 0
1554048261.407 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048261.409 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048261.410 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048261.410 * [backup-simplify]: Simplify (- k) into (- k)
1554048261.410 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048261.410 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1554048261.411 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048261.412 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048261.413 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048261.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1554048261.414 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048261.414 * [taylor]: Taking taylor expansion of k in n
1554048261.414 * [backup-simplify]: Simplify k into k
1554048261.414 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048261.414 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1554048261.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048261.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1554048261.415 * [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)))
1554048261.415 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
1554048261.415 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554048261.415 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554048261.415 * [taylor]: Taking taylor expansion of 1/2 in k
1554048261.415 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.415 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554048261.415 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048261.415 * [taylor]: Taking taylor expansion of 1 in k
1554048261.416 * [backup-simplify]: Simplify 1 into 1
1554048261.416 * [taylor]: Taking taylor expansion of k in k
1554048261.416 * [backup-simplify]: Simplify 0 into 0
1554048261.416 * [backup-simplify]: Simplify 1 into 1
1554048261.416 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554048261.416 * [taylor]: Taking taylor expansion of (log n) in k
1554048261.416 * [taylor]: Taking taylor expansion of n in k
1554048261.416 * [backup-simplify]: Simplify n into n
1554048261.416 * [backup-simplify]: Simplify (log n) into (log n)
1554048261.416 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048261.416 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048261.416 * [taylor]: Taking taylor expansion of 2 in k
1554048261.416 * [backup-simplify]: Simplify 2 into 2
1554048261.416 * [taylor]: Taking taylor expansion of PI in k
1554048261.416 * [backup-simplify]: Simplify PI into PI
1554048261.416 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048261.417 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048261.418 * [backup-simplify]: Simplify (- 0) into 0
1554048261.418 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048261.419 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048261.420 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554048261.421 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1554048261.422 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1554048261.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1554048261.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048261.422 * [taylor]: Taking taylor expansion of k in k
1554048261.422 * [backup-simplify]: Simplify 0 into 0
1554048261.422 * [backup-simplify]: Simplify 1 into 1
1554048261.423 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048261.423 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048261.424 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048261.426 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1554048261.426 * [backup-simplify]: Simplify 0 into 0
1554048261.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554048261.428 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554048261.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048261.430 * [backup-simplify]: Simplify (- 0) into 0
1554048261.430 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1554048261.432 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048261.433 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554048261.435 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048261.437 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
1554048261.437 * [taylor]: Taking taylor expansion of 0 in k
1554048261.437 * [backup-simplify]: Simplify 0 into 0
1554048261.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554048261.438 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048261.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048261.440 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.441 * [backup-simplify]: Simplify (- 1) into -1
1554048261.441 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048261.443 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554048261.445 * [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)))))
1554048261.448 * [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)))))))
1554048261.452 * [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)))))))
1554048261.453 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1554048261.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048261.454 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1554048261.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048261.456 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554048261.459 * [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
1554048261.460 * [backup-simplify]: Simplify (- 0) into 0
1554048261.460 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554048261.462 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048261.464 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048261.466 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048261.468 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
1554048261.468 * [taylor]: Taking taylor expansion of 0 in k
1554048261.468 * [backup-simplify]: Simplify 0 into 0
1554048261.468 * [backup-simplify]: Simplify 0 into 0
1554048261.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1554048261.472 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554048261.473 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554048261.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048261.477 * [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
1554048261.478 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.478 * [backup-simplify]: Simplify (- 0) into 0
1554048261.479 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048261.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048261.486 * [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)))))
1554048261.495 * [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))))))))
1554048261.499 * [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))))))))
1554048261.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048261.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1554048261.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048261.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554048261.509 * [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
1554048261.510 * [backup-simplify]: Simplify (- 0) into 0
1554048261.510 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
1554048261.512 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048261.514 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554048261.517 * [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
1554048261.519 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
1554048261.519 * [taylor]: Taking taylor expansion of 0 in k
1554048261.519 * [backup-simplify]: Simplify 0 into 0
1554048261.519 * [backup-simplify]: Simplify 0 into 0
1554048261.519 * [backup-simplify]: Simplify 0 into 0
1554048261.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554048261.533 * [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
1554048261.534 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048261.539 * [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
1554048261.540 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.540 * [backup-simplify]: Simplify (- 0) into 0
1554048261.541 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554048261.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1554048261.552 * [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)))))))
1554048261.568 * [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))))))))))))))
1554048261.579 * [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))))))))))))))
1554048261.597 * [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))))))))))))))))))))))
1554048261.597 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (pow (/ 1 k) -1/2)) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
1554048261.598 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
1554048261.598 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1554048261.598 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1554048261.598 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554048261.598 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554048261.598 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1554048261.598 * [taylor]: Taking taylor expansion of 1/2 in k
1554048261.598 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.598 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048261.598 * [taylor]: Taking taylor expansion of 1 in k
1554048261.598 * [backup-simplify]: Simplify 1 into 1
1554048261.598 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048261.598 * [taylor]: Taking taylor expansion of k in k
1554048261.598 * [backup-simplify]: Simplify 0 into 0
1554048261.598 * [backup-simplify]: Simplify 1 into 1
1554048261.598 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048261.598 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554048261.598 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554048261.598 * [taylor]: Taking taylor expansion of 2 in k
1554048261.598 * [backup-simplify]: Simplify 2 into 2
1554048261.598 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048261.598 * [taylor]: Taking taylor expansion of PI in k
1554048261.598 * [backup-simplify]: Simplify PI into PI
1554048261.599 * [taylor]: Taking taylor expansion of n in k
1554048261.599 * [backup-simplify]: Simplify n into n
1554048261.599 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048261.599 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554048261.599 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554048261.599 * [backup-simplify]: Simplify (- 1) into -1
1554048261.600 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048261.600 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1554048261.600 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1554048261.601 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554048261.601 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554048261.601 * [taylor]: Taking taylor expansion of k in k
1554048261.601 * [backup-simplify]: Simplify 0 into 0
1554048261.601 * [backup-simplify]: Simplify 1 into 1
1554048261.601 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048261.603 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048261.603 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1554048261.603 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554048261.603 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048261.603 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048261.603 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554048261.603 * [taylor]: Taking taylor expansion of 1/2 in n
1554048261.603 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.603 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048261.603 * [taylor]: Taking taylor expansion of 1 in n
1554048261.603 * [backup-simplify]: Simplify 1 into 1
1554048261.603 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048261.603 * [taylor]: Taking taylor expansion of k in n
1554048261.603 * [backup-simplify]: Simplify k into k
1554048261.603 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048261.603 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048261.603 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048261.603 * [taylor]: Taking taylor expansion of 2 in n
1554048261.603 * [backup-simplify]: Simplify 2 into 2
1554048261.603 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048261.603 * [taylor]: Taking taylor expansion of PI in n
1554048261.603 * [backup-simplify]: Simplify PI into PI
1554048261.603 * [taylor]: Taking taylor expansion of n in n
1554048261.603 * [backup-simplify]: Simplify 0 into 0
1554048261.603 * [backup-simplify]: Simplify 1 into 1
1554048261.604 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048261.604 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048261.605 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048261.605 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048261.605 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048261.605 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554048261.607 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048261.608 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048261.609 * [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)))))
1554048261.609 * [taylor]: Taking taylor expansion of (sqrt k) in n
1554048261.609 * [taylor]: Taking taylor expansion of k in n
1554048261.609 * [backup-simplify]: Simplify k into k
1554048261.609 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1554048261.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1554048261.609 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1554048261.609 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1554048261.609 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048261.609 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048261.609 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1554048261.609 * [taylor]: Taking taylor expansion of 1/2 in n
1554048261.609 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.609 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048261.610 * [taylor]: Taking taylor expansion of 1 in n
1554048261.610 * [backup-simplify]: Simplify 1 into 1
1554048261.610 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048261.610 * [taylor]: Taking taylor expansion of k in n
1554048261.610 * [backup-simplify]: Simplify k into k
1554048261.610 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048261.610 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048261.610 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048261.610 * [taylor]: Taking taylor expansion of 2 in n
1554048261.610 * [backup-simplify]: Simplify 2 into 2
1554048261.610 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048261.610 * [taylor]: Taking taylor expansion of PI in n
1554048261.610 * [backup-simplify]: Simplify PI into PI
1554048261.610 * [taylor]: Taking taylor expansion of n in n
1554048261.610 * [backup-simplify]: Simplify 0 into 0
1554048261.610 * [backup-simplify]: Simplify 1 into 1
1554048261.611 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048261.611 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048261.612 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048261.612 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048261.612 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048261.612 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1554048261.613 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048261.615 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048261.616 * [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)))))
1554048261.616 * [taylor]: Taking taylor expansion of (sqrt k) in n
1554048261.616 * [taylor]: Taking taylor expansion of k in n
1554048261.616 * [backup-simplify]: Simplify k into k
1554048261.616 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1554048261.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1554048261.617 * [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))
1554048261.617 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
1554048261.617 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554048261.618 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554048261.618 * [taylor]: Taking taylor expansion of 1/2 in k
1554048261.618 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.618 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554048261.618 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048261.618 * [taylor]: Taking taylor expansion of 1 in k
1554048261.618 * [backup-simplify]: Simplify 1 into 1
1554048261.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048261.618 * [taylor]: Taking taylor expansion of k in k
1554048261.618 * [backup-simplify]: Simplify 0 into 0
1554048261.618 * [backup-simplify]: Simplify 1 into 1
1554048261.618 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048261.618 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554048261.618 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048261.618 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048261.618 * [taylor]: Taking taylor expansion of 2 in k
1554048261.618 * [backup-simplify]: Simplify 2 into 2
1554048261.618 * [taylor]: Taking taylor expansion of PI in k
1554048261.618 * [backup-simplify]: Simplify PI into PI
1554048261.619 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048261.620 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048261.620 * [taylor]: Taking taylor expansion of (log n) in k
1554048261.620 * [taylor]: Taking taylor expansion of n in k
1554048261.620 * [backup-simplify]: Simplify n into n
1554048261.620 * [backup-simplify]: Simplify (log n) into (log n)
1554048261.620 * [backup-simplify]: Simplify (- 1) into -1
1554048261.621 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048261.621 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048261.622 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554048261.623 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554048261.624 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1554048261.625 * [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)))))
1554048261.625 * [taylor]: Taking taylor expansion of (sqrt k) in k
1554048261.625 * [taylor]: Taking taylor expansion of k in k
1554048261.625 * [backup-simplify]: Simplify 0 into 0
1554048261.625 * [backup-simplify]: Simplify 1 into 1
1554048261.625 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048261.627 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1554048261.628 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
1554048261.628 * [backup-simplify]: Simplify 0 into 0
1554048261.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048261.629 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048261.631 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048261.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048261.632 * [backup-simplify]: Simplify (- 0) into 0
1554048261.632 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1554048261.634 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048261.635 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554048261.637 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048261.638 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
1554048261.638 * [taylor]: Taking taylor expansion of 0 in k
1554048261.638 * [backup-simplify]: Simplify 0 into 0
1554048261.638 * [backup-simplify]: Simplify 0 into 0
1554048261.640 * [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)))))))
1554048261.641 * [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)))))))
1554048261.642 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1554048261.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048261.647 * [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
1554048261.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048261.647 * [backup-simplify]: Simplify (- 0) into 0
1554048261.648 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554048261.650 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048261.651 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554048261.654 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048261.655 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
1554048261.655 * [taylor]: Taking taylor expansion of 0 in k
1554048261.655 * [backup-simplify]: Simplify 0 into 0
1554048261.655 * [backup-simplify]: Simplify 0 into 0
1554048261.656 * [backup-simplify]: Simplify 0 into 0
1554048261.658 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554048261.660 * [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)))))))
1554048261.661 * [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)))))))
1554048261.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1554048261.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048261.676 * [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
1554048261.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048261.677 * [backup-simplify]: Simplify (- 0) into 0
1554048261.677 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554048261.680 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048261.682 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554048261.684 * [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
1554048261.686 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
1554048261.686 * [taylor]: Taking taylor expansion of 0 in k
1554048261.686 * [backup-simplify]: Simplify 0 into 0
1554048261.686 * [backup-simplify]: Simplify 0 into 0
1554048261.686 * [backup-simplify]: Simplify 0 into 0
1554048261.687 * [backup-simplify]: Simplify 0 into 0
1554048261.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554048261.693 * [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)))))))
1554048261.694 * [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)))))))
1554048261.698 * [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))))))))
1554048261.699 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (pow (/ 1 (- k)) -1/2)) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))))
1554048261.699 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (n k) around 0
1554048261.699 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
1554048261.699 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k
1554048261.699 * [taylor]: Taking taylor expansion of (/ k -1) in k
1554048261.699 * [taylor]: Taking taylor expansion of k in k
1554048261.699 * [backup-simplify]: Simplify 0 into 0
1554048261.699 * [backup-simplify]: Simplify 1 into 1
1554048261.699 * [taylor]: Taking taylor expansion of -1 in k
1554048261.699 * [backup-simplify]: Simplify -1 into -1
1554048261.699 * [backup-simplify]: Simplify (/ 1 -1) into -1
1554048261.700 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048261.701 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554048261.701 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1554048261.701 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554048261.701 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554048261.701 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1554048261.701 * [taylor]: Taking taylor expansion of 1/2 in k
1554048261.701 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.701 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048261.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048261.701 * [taylor]: Taking taylor expansion of k in k
1554048261.701 * [backup-simplify]: Simplify 0 into 0
1554048261.701 * [backup-simplify]: Simplify 1 into 1
1554048261.702 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048261.702 * [taylor]: Taking taylor expansion of 1 in k
1554048261.702 * [backup-simplify]: Simplify 1 into 1
1554048261.702 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554048261.702 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554048261.702 * [taylor]: Taking taylor expansion of -2 in k
1554048261.702 * [backup-simplify]: Simplify -2 into -2
1554048261.702 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048261.702 * [taylor]: Taking taylor expansion of PI in k
1554048261.702 * [backup-simplify]: Simplify PI into PI
1554048261.702 * [taylor]: Taking taylor expansion of n in k
1554048261.702 * [backup-simplify]: Simplify n into n
1554048261.702 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048261.702 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554048261.702 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554048261.703 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048261.703 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1554048261.703 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1554048261.704 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554048261.704 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n
1554048261.704 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n
1554048261.704 * [taylor]: Taking taylor expansion of (/ k -1) in n
1554048261.704 * [taylor]: Taking taylor expansion of k in n
1554048261.704 * [backup-simplify]: Simplify k into k
1554048261.704 * [taylor]: Taking taylor expansion of -1 in n
1554048261.704 * [backup-simplify]: Simplify -1 into -1
1554048261.704 * [backup-simplify]: Simplify (/ k -1) into (* -1 k)
1554048261.704 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k))
1554048261.705 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0
1554048261.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0
1554048261.705 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554048261.705 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048261.705 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048261.705 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554048261.705 * [taylor]: Taking taylor expansion of 1/2 in n
1554048261.705 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.705 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048261.705 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048261.705 * [taylor]: Taking taylor expansion of k in n
1554048261.705 * [backup-simplify]: Simplify k into k
1554048261.705 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048261.705 * [taylor]: Taking taylor expansion of 1 in n
1554048261.705 * [backup-simplify]: Simplify 1 into 1
1554048261.705 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048261.705 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048261.705 * [taylor]: Taking taylor expansion of -2 in n
1554048261.705 * [backup-simplify]: Simplify -2 into -2
1554048261.705 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048261.705 * [taylor]: Taking taylor expansion of PI in n
1554048261.705 * [backup-simplify]: Simplify PI into PI
1554048261.705 * [taylor]: Taking taylor expansion of n in n
1554048261.705 * [backup-simplify]: Simplify 0 into 0
1554048261.706 * [backup-simplify]: Simplify 1 into 1
1554048261.706 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048261.706 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048261.707 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048261.707 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048261.708 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554048261.709 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048261.710 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048261.711 * [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)))))
1554048261.711 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n
1554048261.711 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n
1554048261.711 * [taylor]: Taking taylor expansion of (/ k -1) in n
1554048261.711 * [taylor]: Taking taylor expansion of k in n
1554048261.711 * [backup-simplify]: Simplify k into k
1554048261.711 * [taylor]: Taking taylor expansion of -1 in n
1554048261.711 * [backup-simplify]: Simplify -1 into -1
1554048261.711 * [backup-simplify]: Simplify (/ k -1) into (* -1 k)
1554048261.711 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k))
1554048261.712 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0
1554048261.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0
1554048261.712 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1554048261.712 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048261.712 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048261.712 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1554048261.712 * [taylor]: Taking taylor expansion of 1/2 in n
1554048261.712 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.712 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048261.712 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048261.712 * [taylor]: Taking taylor expansion of k in n
1554048261.712 * [backup-simplify]: Simplify k into k
1554048261.713 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048261.713 * [taylor]: Taking taylor expansion of 1 in n
1554048261.713 * [backup-simplify]: Simplify 1 into 1
1554048261.713 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048261.713 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048261.713 * [taylor]: Taking taylor expansion of -2 in n
1554048261.713 * [backup-simplify]: Simplify -2 into -2
1554048261.713 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048261.713 * [taylor]: Taking taylor expansion of PI in n
1554048261.713 * [backup-simplify]: Simplify PI into PI
1554048261.713 * [taylor]: Taking taylor expansion of n in n
1554048261.713 * [backup-simplify]: Simplify 0 into 0
1554048261.713 * [backup-simplify]: Simplify 1 into 1
1554048261.713 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048261.714 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048261.715 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048261.715 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048261.715 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1554048261.716 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048261.717 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048261.718 * [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)))))
1554048261.720 * [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))))))
1554048261.720 * [taylor]: Taking taylor expansion of (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) in k
1554048261.720 * [taylor]: Taking taylor expansion of (sqrt (* -1 k)) in k
1554048261.720 * [taylor]: Taking taylor expansion of (* -1 k) in k
1554048261.720 * [taylor]: Taking taylor expansion of -1 in k
1554048261.720 * [backup-simplify]: Simplify -1 into -1
1554048261.720 * [taylor]: Taking taylor expansion of k in k
1554048261.720 * [backup-simplify]: Simplify 0 into 0
1554048261.720 * [backup-simplify]: Simplify 1 into 1
1554048261.720 * [backup-simplify]: Simplify (* -1 0) into 0
1554048261.721 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1
1554048261.721 * [backup-simplify]: Simplify (sqrt 0) into 0
1554048261.723 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1554048261.723 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554048261.723 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554048261.723 * [taylor]: Taking taylor expansion of 1/2 in k
1554048261.723 * [backup-simplify]: Simplify 1/2 into 1/2
1554048261.723 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554048261.723 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048261.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048261.723 * [taylor]: Taking taylor expansion of k in k
1554048261.723 * [backup-simplify]: Simplify 0 into 0
1554048261.723 * [backup-simplify]: Simplify 1 into 1
1554048261.723 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048261.723 * [taylor]: Taking taylor expansion of 1 in k
1554048261.723 * [backup-simplify]: Simplify 1 into 1
1554048261.723 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554048261.723 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554048261.723 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554048261.723 * [taylor]: Taking taylor expansion of -2 in k
1554048261.723 * [backup-simplify]: Simplify -2 into -2
1554048261.723 * [taylor]: Taking taylor expansion of PI in k
1554048261.723 * [backup-simplify]: Simplify PI into PI
1554048261.724 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048261.725 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048261.725 * [taylor]: Taking taylor expansion of (log n) in k
1554048261.725 * [taylor]: Taking taylor expansion of n in k
1554048261.725 * [backup-simplify]: Simplify n into n
1554048261.725 * [backup-simplify]: Simplify (log n) into (log n)
1554048261.725 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048261.725 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048261.726 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554048261.728 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554048261.729 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1554048261.729 * [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)))))
1554048261.730 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into 0
1554048261.730 * [backup-simplify]: Simplify 0 into 0
1554048261.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048261.731 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554048261.732 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554048261.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048261.733 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1554048261.734 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048261.735 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554048261.736 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048261.736 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
1554048261.736 * [taylor]: Taking taylor expansion of 0 in k
1554048261.736 * [backup-simplify]: Simplify 0 into 0
1554048261.736 * [backup-simplify]: Simplify 0 into 0
1554048261.737 * [backup-simplify]: Simplify (+ (* 0 0) (* +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)))))))
1554048261.738 * [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)))))))
1554048261.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.739 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048261.741 * [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
1554048261.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048261.741 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554048261.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048261.744 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554048261.745 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048261.746 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
1554048261.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* -1 k)))) into 0
1554048261.747 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0
1554048261.747 * [taylor]: Taking taylor expansion of 0 in k
1554048261.747 * [backup-simplify]: Simplify 0 into 0
1554048261.747 * [backup-simplify]: Simplify 0 into 0
1554048261.747 * [backup-simplify]: Simplify 0 into 0
1554048261.748 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0
1554048261.750 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1554048261.751 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +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)))))))
1554048261.752 * [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)))))))
1554048261.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048261.753 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048261.756 * [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
1554048261.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048261.756 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048261.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1554048261.758 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048261.759 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1554048261.761 * [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
1554048261.762 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
1554048261.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 k)))) into 0
1554048261.764 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0
1554048261.764 * [taylor]: Taking taylor expansion of 0 in k
1554048261.764 * [backup-simplify]: Simplify 0 into 0
1554048261.764 * [backup-simplify]: Simplify 0 into 0
1554048261.764 * [backup-simplify]: Simplify 0 into 0
1554048261.764 * [backup-simplify]: Simplify 0 into 0
1554048261.764 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1554048261.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1554048261.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +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)))))))
1554048261.772 * [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)))))))
1554048261.776 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 3)) (+ (* (- (* +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)))) 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)))))))
1554048261.776 * * * [progress]: simplifying candidates
1554048261.776 * * * * [progress]: [ 1 / 118 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))>
1554048261.776 * * * * [progress]: [ 2 / 118 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))>
1554048261.776 * * * * [progress]: [ 3 / 118 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) (pow k -1/2)))>
1554048261.777 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))
1554048261.777 * * [simplify]: iters left: 6 (13 enodes)
1554048261.790 * * [simplify]: iters left: 5 (54 enodes)
1554048261.807 * * [simplify]: iters left: 4 (97 enodes)
1554048261.847 * * [simplify]: iters left: 3 (250 enodes)
1554048261.965 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048261.965 * * [simplify]: Extracting #1: cost 34 inf + 0
1554048261.965 * * [simplify]: Extracting #2: cost 100 inf + 73
1554048261.966 * * [simplify]: Extracting #3: cost 126 inf + 1867
1554048261.969 * * [simplify]: Extracting #4: cost 46 inf + 20363
1554048261.975 * * [simplify]: Extracting #5: cost 5 inf + 31901
1554048261.985 * * [simplify]: Extracting #6: cost 0 inf + 33789
1554048261.999 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)
1554048261.999 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (pow k -1/2)))
1554048262.000 * * * * [progress]: [ 4 / 118 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) (pow k -1/2)))>
1554048262.000 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))
1554048262.000 * * [simplify]: iters left: 6 (12 enodes)
1554048262.012 * * [simplify]: iters left: 5 (52 enodes)
1554048262.026 * * [simplify]: iters left: 4 (90 enodes)
1554048262.043 * * [simplify]: iters left: 3 (207 enodes)
1554048262.149 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.149 * * [simplify]: Extracting #1: cost 29 inf + 0
1554048262.149 * * [simplify]: Extracting #2: cost 88 inf + 73
1554048262.150 * * [simplify]: Extracting #3: cost 117 inf + 443
1554048262.152 * * [simplify]: Extracting #4: cost 77 inf + 5789
1554048262.159 * * [simplify]: Extracting #5: cost 28 inf + 17508
1554048262.170 * * [simplify]: Extracting #6: cost 0 inf + 26056
1554048262.181 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)
1554048262.182 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (pow k -1/2)))
1554048262.182 * * * * [progress]: [ 5 / 118 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (pow k -1/2)))>
1554048262.182 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
1554048262.182 * * [simplify]: iters left: 6 (11 enodes)
1554048262.190 * * [simplify]: iters left: 5 (51 enodes)
1554048262.206 * * [simplify]: iters left: 4 (97 enodes)
1554048262.234 * * [simplify]: iters left: 3 (201 enodes)
1554048262.291 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.291 * * [simplify]: Extracting #1: cost 31 inf + 0
1554048262.291 * * [simplify]: Extracting #2: cost 94 inf + 2
1554048262.292 * * [simplify]: Extracting #3: cost 127 inf + 355
1554048262.293 * * [simplify]: Extracting #4: cost 75 inf + 7402
1554048262.296 * * [simplify]: Extracting #5: cost 31 inf + 16283
1554048262.301 * * [simplify]: Extracting #6: cost 3 inf + 23308
1554048262.306 * * [simplify]: Extracting #7: cost 0 inf + 24140
1554048262.312 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)
1554048262.312 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (pow k -1/2)))
1554048262.312 * * * * [progress]: [ 6 / 118 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (pow k -1/2)))>
1554048262.312 * * * * [progress]: [ 7 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (pow k -1/2)))>
1554048262.312 * [simplify]: Simplifying (* n (* 2 PI))
1554048262.312 * * [simplify]: iters left: 4 (5 enodes)
1554048262.318 * * [simplify]: iters left: 3 (19 enodes)
1554048262.324 * * [simplify]: iters left: 2 (27 enodes)
1554048262.328 * * [simplify]: iters left: 1 (32 enodes)
1554048262.332 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.332 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048262.333 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048262.333 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048262.333 * [simplify]: Simplified to (* (* PI 2) n)
1554048262.333 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2)))
1554048262.333 * * * * [progress]: [ 8 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (pow k -1/2)))>
1554048262.333 * [simplify]: Simplifying (* n (* 2 PI))
1554048262.333 * * [simplify]: iters left: 4 (5 enodes)
1554048262.335 * * [simplify]: iters left: 3 (19 enodes)
1554048262.338 * * [simplify]: iters left: 2 (27 enodes)
1554048262.342 * * [simplify]: iters left: 1 (32 enodes)
1554048262.345 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.346 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048262.346 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048262.346 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048262.346 * [simplify]: Simplified to (* (* PI 2) n)
1554048262.346 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2)))
1554048262.346 * * * * [progress]: [ 9 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (pow k -1/2)))>
1554048262.346 * [simplify]: Simplifying (* n (* 2 PI))
1554048262.346 * * [simplify]: iters left: 4 (5 enodes)
1554048262.348 * * [simplify]: iters left: 3 (19 enodes)
1554048262.351 * * [simplify]: iters left: 2 (27 enodes)
1554048262.355 * * [simplify]: iters left: 1 (32 enodes)
1554048262.359 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.359 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048262.359 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048262.359 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048262.359 * [simplify]: Simplified to (* (* PI 2) n)
1554048262.359 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2)))
1554048262.359 * * * * [progress]: [ 10 / 118 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (pow k -1/2)))>
1554048262.360 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2))
1554048262.360 * * [simplify]: iters left: 5 (8 enodes)
1554048262.362 * * [simplify]: iters left: 4 (31 enodes)
1554048262.367 * * [simplify]: iters left: 3 (51 enodes)
1554048262.377 * * [simplify]: iters left: 2 (85 enodes)
1554048262.405 * * [simplify]: iters left: 1 (152 enodes)
1554048262.448 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.449 * * [simplify]: Extracting #1: cost 13 inf + 0
1554048262.449 * * [simplify]: Extracting #2: cost 59 inf + 1
1554048262.449 * * [simplify]: Extracting #3: cost 76 inf + 9
1554048262.450 * * [simplify]: Extracting #4: cost 41 inf + 3303
1554048262.451 * * [simplify]: Extracting #5: cost 16 inf + 10676
1554048262.454 * * [simplify]: Extracting #6: cost 0 inf + 21028
1554048262.457 * * [simplify]: Extracting #7: cost 0 inf + 20456
1554048262.462 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1554048262.462 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (pow k -1/2)))
1554048262.462 * * * * [progress]: [ 11 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (pow k -1/2)))>
1554048262.462 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2))
1554048262.462 * * [simplify]: iters left: 5 (6 enodes)
1554048262.466 * * [simplify]: iters left: 4 (26 enodes)
1554048262.475 * * [simplify]: iters left: 3 (35 enodes)
1554048262.486 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.486 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048262.486 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048262.486 * * [simplify]: Extracting #3: cost 11 inf + 2
1554048262.486 * * [simplify]: Extracting #4: cost 8 inf + 87
1554048262.487 * * [simplify]: Extracting #5: cost 2 inf + 500
1554048262.487 * * [simplify]: Extracting #6: cost 0 inf + 746
1554048262.487 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2))
1554048262.487 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (pow k -1/2)))
1554048262.488 * * * * [progress]: [ 12 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (pow k -1/2)))>
1554048262.488 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2))
1554048262.488 * * [simplify]: iters left: 5 (6 enodes)
1554048262.492 * * [simplify]: iters left: 4 (26 enodes)
1554048262.501 * * [simplify]: iters left: 3 (35 enodes)
1554048262.511 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.511 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048262.511 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048262.511 * * [simplify]: Extracting #3: cost 11 inf + 2
1554048262.512 * * [simplify]: Extracting #4: cost 8 inf + 87
1554048262.512 * * [simplify]: Extracting #5: cost 2 inf + 460
1554048262.512 * * [simplify]: Extracting #6: cost 0 inf + 666
1554048262.512 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2))
1554048262.512 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (pow k -1/2)))
1554048262.513 * * * * [progress]: [ 13 / 118 ] 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))) (pow k -1/2)))>
1554048262.513 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2))
1554048262.513 * * [simplify]: iters left: 5 (7 enodes)
1554048262.517 * * [simplify]: iters left: 4 (25 enodes)
1554048262.525 * * [simplify]: iters left: 3 (30 enodes)
1554048262.533 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.534 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048262.534 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048262.534 * * [simplify]: Extracting #3: cost 10 inf + 82
1554048262.534 * * [simplify]: Extracting #4: cost 7 inf + 206
1554048262.534 * * [simplify]: Extracting #5: cost 2 inf + 575
1554048262.534 * * [simplify]: Extracting #6: cost 1 inf + 818
1554048262.534 * * [simplify]: Extracting #7: cost 0 inf + 1061
1554048262.535 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2))
1554048262.535 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (pow k -1/2)))
1554048262.535 * * * * [progress]: [ 14 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (pow k -1/2)))>
1554048262.535 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2))
1554048262.535 * * [simplify]: iters left: 5 (7 enodes)
1554048262.540 * * [simplify]: iters left: 4 (25 enodes)
1554048262.553 * * [simplify]: iters left: 3 (30 enodes)
1554048262.562 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.562 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048262.562 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048262.562 * * [simplify]: Extracting #3: cost 10 inf + 42
1554048262.562 * * [simplify]: Extracting #4: cost 7 inf + 126
1554048262.563 * * [simplify]: Extracting #5: cost 2 inf + 495
1554048262.563 * * [simplify]: Extracting #6: cost 1 inf + 698
1554048262.563 * * [simplify]: Extracting #7: cost 0 inf + 901
1554048262.563 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2))
1554048262.564 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (pow k -1/2)))
1554048262.564 * * * * [progress]: [ 15 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (pow k -1/2)))>
1554048262.564 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2)
1554048262.564 * * [simplify]: iters left: 5 (6 enodes)
1554048262.568 * * [simplify]: iters left: 4 (22 enodes)
1554048262.575 * * [simplify]: iters left: 3 (27 enodes)
1554048262.582 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.583 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048262.583 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048262.583 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048262.583 * * [simplify]: Extracting #4: cost 8 inf + 3
1554048262.583 * * [simplify]: Extracting #5: cost 4 inf + 169
1554048262.583 * * [simplify]: Extracting #6: cost 1 inf + 576
1554048262.583 * * [simplify]: Extracting #7: cost 0 inf + 739
1554048262.584 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
1554048262.584 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (pow k -1/2)))
1554048262.584 * * * * [progress]: [ 16 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (pow k -1/2)))>
1554048262.584 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2))
1554048262.584 * * [simplify]: iters left: 5 (7 enodes)
1554048262.589 * * [simplify]: iters left: 4 (25 enodes)
1554048262.597 * * [simplify]: iters left: 3 (30 enodes)
1554048262.606 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.606 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048262.606 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048262.606 * * [simplify]: Extracting #3: cost 10 inf + 82
1554048262.606 * * [simplify]: Extracting #4: cost 7 inf + 206
1554048262.607 * * [simplify]: Extracting #5: cost 2 inf + 495
1554048262.607 * * [simplify]: Extracting #6: cost 1 inf + 698
1554048262.607 * * [simplify]: Extracting #7: cost 0 inf + 901
1554048262.608 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2))
1554048262.608 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (pow k -1/2)))
1554048262.608 * * * * [progress]: [ 17 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (pow k -1/2)))>
1554048262.608 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2))
1554048262.608 * * [simplify]: iters left: 5 (7 enodes)
1554048262.613 * * [simplify]: iters left: 4 (25 enodes)
1554048262.621 * * [simplify]: iters left: 3 (30 enodes)
1554048262.630 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.630 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048262.630 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048262.630 * * [simplify]: Extracting #3: cost 10 inf + 42
1554048262.630 * * [simplify]: Extracting #4: cost 7 inf + 126
1554048262.631 * * [simplify]: Extracting #5: cost 2 inf + 415
1554048262.631 * * [simplify]: Extracting #6: cost 1 inf + 578
1554048262.631 * * [simplify]: Extracting #7: cost 0 inf + 741
1554048262.631 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2))
1554048262.632 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (pow k -1/2)))
1554048262.632 * * * * [progress]: [ 18 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (pow k -1/2)))>
1554048262.632 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2)
1554048262.632 * * [simplify]: iters left: 5 (6 enodes)
1554048262.636 * * [simplify]: iters left: 4 (22 enodes)
1554048262.643 * * [simplify]: iters left: 3 (27 enodes)
1554048262.651 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.651 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048262.651 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048262.651 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048262.651 * * [simplify]: Extracting #4: cost 8 inf + 3
1554048262.652 * * [simplify]: Extracting #5: cost 4 inf + 169
1554048262.652 * * [simplify]: Extracting #6: cost 1 inf + 456
1554048262.652 * * [simplify]: Extracting #7: cost 0 inf + 579
1554048262.652 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
1554048262.652 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (pow k -1/2)))
1554048262.653 * * * * [progress]: [ 19 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2)))>
1554048262.653 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
1554048262.653 * * [simplify]: iters left: 4 (6 enodes)
1554048262.657 * * [simplify]: iters left: 3 (25 enodes)
1554048262.666 * * [simplify]: iters left: 2 (36 enodes)
1554048262.677 * * [simplify]: iters left: 1 (40 enodes)
1554048262.689 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.689 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048262.690 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048262.690 * * [simplify]: Extracting #3: cost 13 inf + 44
1554048262.690 * * [simplify]: Extracting #4: cost 3 inf + 1103
1554048262.691 * * [simplify]: Extracting #5: cost 0 inf + 1469
1554048262.691 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
1554048262.691 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2)))
1554048262.691 * * * * [progress]: [ 20 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2)))>
1554048262.691 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
1554048262.692 * * [simplify]: iters left: 4 (6 enodes)
1554048262.696 * * [simplify]: iters left: 3 (25 enodes)
1554048262.708 * * [simplify]: iters left: 2 (36 enodes)
1554048262.719 * * [simplify]: iters left: 1 (40 enodes)
1554048262.731 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.731 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048262.731 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048262.732 * * [simplify]: Extracting #3: cost 13 inf + 44
1554048262.732 * * [simplify]: Extracting #4: cost 3 inf + 823
1554048262.732 * * [simplify]: Extracting #5: cost 0 inf + 1069
1554048262.733 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
1554048262.733 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2)))
1554048262.733 * * * * [progress]: [ 21 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048262.733 * [simplify]: Simplifying (/ (- 1 k) 2)
1554048262.734 * * [simplify]: iters left: 4 (5 enodes)
1554048262.738 * * [simplify]: iters left: 3 (23 enodes)
1554048262.746 * * [simplify]: iters left: 2 (32 enodes)
1554048262.756 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.756 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048262.756 * * [simplify]: Extracting #2: cost 9 inf + 2
1554048262.757 * * [simplify]: Extracting #3: cost 6 inf + 87
1554048262.757 * * [simplify]: Extracting #4: cost 0 inf + 420
1554048262.757 * [simplify]: Simplified to (/ (- 1 k) 2)
1554048262.757 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2)))
1554048262.757 * * * * [progress]: [ 22 / 118 ] 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))) (pow k -1/2)))>
1554048262.757 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2))
1554048262.757 * * [simplify]: iters left: 5 (8 enodes)
1554048262.760 * * [simplify]: iters left: 4 (31 enodes)
1554048262.766 * * [simplify]: iters left: 3 (45 enodes)
1554048262.772 * * [simplify]: iters left: 2 (51 enodes)
1554048262.780 * * [simplify]: iters left: 1 (52 enodes)
1554048262.789 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.789 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048262.789 * * [simplify]: Extracting #2: cost 18 inf + 0
1554048262.789 * * [simplify]: Extracting #3: cost 19 inf + 2
1554048262.789 * * [simplify]: Extracting #4: cost 9 inf + 977
1554048262.790 * * [simplify]: Extracting #5: cost 2 inf + 1790
1554048262.791 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554048262.791 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
1554048262.791 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (pow k -1/2)))
1554048262.792 * * * * [progress]: [ 23 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (pow k -1/2)))>
1554048262.792 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2))
1554048262.792 * * [simplify]: iters left: 5 (8 enodes)
1554048262.797 * * [simplify]: iters left: 4 (31 enodes)
1554048262.805 * * [simplify]: iters left: 3 (45 enodes)
1554048262.811 * * [simplify]: iters left: 2 (51 enodes)
1554048262.821 * * [simplify]: iters left: 1 (52 enodes)
1554048262.829 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.829 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048262.829 * * [simplify]: Extracting #2: cost 18 inf + 0
1554048262.829 * * [simplify]: Extracting #3: cost 19 inf + 2
1554048262.829 * * [simplify]: Extracting #4: cost 9 inf + 697
1554048262.830 * * [simplify]: Extracting #5: cost 2 inf + 1390
1554048262.830 * * [simplify]: Extracting #6: cost 0 inf + 1715
1554048262.830 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
1554048262.830 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow k -1/2)))
1554048262.830 * * * * [progress]: [ 24 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (pow k -1/2)))>
1554048262.831 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2)
1554048262.831 * * [simplify]: iters left: 5 (7 enodes)
1554048262.833 * * [simplify]: iters left: 4 (29 enodes)
1554048262.840 * * [simplify]: iters left: 3 (43 enodes)
1554048262.851 * * [simplify]: iters left: 2 (47 enodes)
1554048262.857 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.857 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048262.857 * * [simplify]: Extracting #2: cost 11 inf + 2
1554048262.857 * * [simplify]: Extracting #3: cost 13 inf + 3
1554048262.857 * * [simplify]: Extracting #4: cost 11 inf + 45
1554048262.857 * * [simplify]: Extracting #5: cost 0 inf + 1066
1554048262.858 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554048262.858 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2)))
1554048262.858 * * * * [progress]: [ 25 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (pow k -1/2)))>
1554048262.858 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2))
1554048262.858 * * [simplify]: iters left: 5 (7 enodes)
1554048262.860 * * [simplify]: iters left: 4 (28 enodes)
1554048262.866 * * [simplify]: iters left: 3 (39 enodes)
1554048262.872 * * [simplify]: iters left: 2 (43 enodes)
1554048262.878 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.878 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048262.878 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048262.878 * * [simplify]: Extracting #3: cost 15 inf + 164
1554048262.878 * * [simplify]: Extracting #4: cost 13 inf + 287
1554048262.879 * * [simplify]: Extracting #5: cost 5 inf + 1180
1554048262.879 * * [simplify]: Extracting #6: cost 0 inf + 1951
1554048262.879 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
1554048262.879 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (pow k -1/2)))
1554048262.879 * * * * [progress]: [ 26 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow k -1/2)))>
1554048262.879 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2))
1554048262.879 * * [simplify]: iters left: 5 (7 enodes)
1554048262.883 * * [simplify]: iters left: 4 (28 enodes)
1554048262.892 * * [simplify]: iters left: 3 (39 enodes)
1554048262.905 * * [simplify]: iters left: 2 (43 enodes)
1554048262.915 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.916 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048262.916 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048262.916 * * [simplify]: Extracting #3: cost 15 inf + 84
1554048262.916 * * [simplify]: Extracting #4: cost 13 inf + 167
1554048262.916 * * [simplify]: Extracting #5: cost 5 inf + 900
1554048262.916 * * [simplify]: Extracting #6: cost 0 inf + 1551
1554048262.916 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
1554048262.917 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow k -1/2)))
1554048262.917 * * * * [progress]: [ 27 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2)))>
1554048262.917 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2)
1554048262.917 * * [simplify]: iters left: 5 (6 enodes)
1554048262.919 * * [simplify]: iters left: 4 (26 enodes)
1554048262.926 * * [simplify]: iters left: 3 (35 enodes)
1554048262.932 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.932 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048262.932 * * [simplify]: Extracting #2: cost 9 inf + 2
1554048262.932 * * [simplify]: Extracting #3: cost 11 inf + 3
1554048262.932 * * [simplify]: Extracting #4: cost 10 inf + 4
1554048262.932 * * [simplify]: Extracting #5: cost 3 inf + 535
1554048262.932 * * [simplify]: Extracting #6: cost 0 inf + 822
1554048262.932 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554048262.932 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2)))
1554048262.932 * * * * [progress]: [ 28 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2)))>
1554048262.933 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
1554048262.933 * * [simplify]: iters left: 4 (6 enodes)
1554048262.935 * * [simplify]: iters left: 3 (25 enodes)
1554048262.940 * * [simplify]: iters left: 2 (36 enodes)
1554048262.950 * * [simplify]: iters left: 1 (40 enodes)
1554048262.960 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.960 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048262.960 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048262.960 * * [simplify]: Extracting #3: cost 13 inf + 44
1554048262.960 * * [simplify]: Extracting #4: cost 3 inf + 1103
1554048262.960 * * [simplify]: Extracting #5: cost 0 inf + 1469
1554048262.961 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
1554048262.961 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2)))
1554048262.961 * * * * [progress]: [ 29 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2)))>
1554048262.961 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
1554048262.961 * * [simplify]: iters left: 4 (6 enodes)
1554048262.963 * * [simplify]: iters left: 3 (25 enodes)
1554048262.968 * * [simplify]: iters left: 2 (36 enodes)
1554048262.973 * * [simplify]: iters left: 1 (40 enodes)
1554048262.980 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048262.980 * * [simplify]: Extracting #1: cost 7 inf + 0
1554048262.980 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048262.980 * * [simplify]: Extracting #3: cost 13 inf + 44
1554048262.980 * * [simplify]: Extracting #4: cost 3 inf + 823
1554048262.980 * * [simplify]: Extracting #5: cost 0 inf + 1069
1554048262.981 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
1554048262.981 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2)))
1554048262.981 * * * * [progress]: [ 30 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048262.981 * [simplify]: Simplifying (/ (- 1 k) 2)
1554048262.981 * * [simplify]: iters left: 4 (5 enodes)
1554048262.983 * * [simplify]: iters left: 3 (23 enodes)
1554048262.990 * * [simplify]: iters left: 2 (32 enodes)
1554048263.000 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048263.000 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048263.000 * * [simplify]: Extracting #2: cost 9 inf + 2
1554048263.000 * * [simplify]: Extracting #3: cost 6 inf + 87
1554048263.000 * * [simplify]: Extracting #4: cost 0 inf + 420
1554048263.001 * [simplify]: Simplified to (/ (- 1 k) 2)
1554048263.001 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2)))
1554048263.001 * * * * [progress]: [ 31 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.001 * [simplify]: Simplifying (/ (- 1 k) 2)
1554048263.001 * * [simplify]: iters left: 4 (5 enodes)
1554048263.005 * * [simplify]: iters left: 3 (23 enodes)
1554048263.013 * * [simplify]: iters left: 2 (32 enodes)
1554048263.023 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048263.023 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048263.023 * * [simplify]: Extracting #2: cost 9 inf + 2
1554048263.024 * * [simplify]: Extracting #3: cost 6 inf + 87
1554048263.024 * * [simplify]: Extracting #4: cost 0 inf + 420
1554048263.024 * [simplify]: Simplified to (/ (- 1 k) 2)
1554048263.024 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2)))
1554048263.024 * * * * [progress]: [ 32 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)) (pow k -1/2)))>
1554048263.025 * [simplify]: Simplifying (/ 1 2)
1554048263.025 * * [simplify]: iters left: 2 (3 enodes)
1554048263.028 * * [simplify]: iters left: 1 (12 enodes)
1554048263.032 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048263.032 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048263.032 * [simplify]: Simplified to 1/2
1554048263.032 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (pow k -1/2)))
1554048263.033 * * * * [progress]: [ 33 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow k -1/2)))>
1554048263.033 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
1554048263.033 * * [simplify]: iters left: 5 (7 enodes)
1554048263.036 * * [simplify]: iters left: 4 (32 enodes)
1554048263.044 * * [simplify]: iters left: 3 (57 enodes)
1554048263.054 * * [simplify]: iters left: 2 (88 enodes)
1554048263.077 * * [simplify]: iters left: 1 (156 enodes)
1554048263.115 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048263.115 * * [simplify]: Extracting #1: cost 13 inf + 0
1554048263.115 * * [simplify]: Extracting #2: cost 49 inf + 2
1554048263.116 * * [simplify]: Extracting #3: cost 80 inf + 6
1554048263.117 * * [simplify]: Extracting #4: cost 58 inf + 1840
1554048263.120 * * [simplify]: Extracting #5: cost 22 inf + 9206
1554048263.125 * * [simplify]: Extracting #6: cost 1 inf + 20886
1554048263.128 * * [simplify]: Extracting #7: cost 0 inf + 21301
1554048263.132 * * [simplify]: Extracting #8: cost 0 inf + 21130
1554048263.137 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
1554048263.137 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow k -1/2)))
1554048263.137 * * * * [progress]: [ 34 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (pow k -1/2)))>
1554048263.137 * * * * [progress]: [ 35 / 118 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))>
1554048263.137 * * * * [progress]: [ 36 / 118 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))>
1554048263.138 * * * * [progress]: [ 37 / 118 ] 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)))) (pow k -1/2)))>
1554048263.138 * * * * [progress]: [ 38 / 118 ] 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)))) (pow k -1/2)))>
1554048263.138 * * * * [progress]: [ 39 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))>
1554048263.138 * * * * [progress]: [ 40 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2)))>
1554048263.138 * * * * [progress]: [ 41 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow k -1/2)))>
1554048263.138 * * * * [progress]: [ 42 / 118 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))>
1554048263.138 * * * * [progress]: [ 43 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.138 * * * * [progress]: [ 44 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.138 * * * * [progress]: [ 45 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.138 * [simplify]: Simplifying (* n (* 2 PI))
1554048263.138 * * [simplify]: iters left: 4 (5 enodes)
1554048263.140 * * [simplify]: iters left: 3 (19 enodes)
1554048263.143 * * [simplify]: iters left: 2 (27 enodes)
1554048263.147 * * [simplify]: iters left: 1 (32 enodes)
1554048263.151 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048263.151 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048263.151 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048263.151 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048263.152 * [simplify]: Simplified to (* (* PI 2) n)
1554048263.152 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2)))
1554048263.152 * * * * [progress]: [ 46 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.152 * [simplify]: Simplifying (* n (* 2 PI))
1554048263.152 * * [simplify]: iters left: 4 (5 enodes)
1554048263.154 * * [simplify]: iters left: 3 (19 enodes)
1554048263.160 * * [simplify]: iters left: 2 (27 enodes)
1554048263.168 * * [simplify]: iters left: 1 (32 enodes)
1554048263.176 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048263.176 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048263.176 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048263.177 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048263.177 * [simplify]: Simplified to (* (* PI 2) n)
1554048263.177 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2)))
1554048263.177 * * * * [progress]: [ 47 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.177 * * * * [progress]: [ 48 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.178 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
1554048263.178 * * [simplify]: iters left: 5 (8 enodes)
1554048263.182 * * [simplify]: iters left: 4 (28 enodes)
1554048263.191 * * [simplify]: iters left: 3 (36 enodes)
1554048263.202 * * [simplify]: iters left: 2 (42 enodes)
1554048263.213 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048263.214 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048263.214 * * [simplify]: Extracting #2: cost 17 inf + 0
1554048263.214 * * [simplify]: Extracting #3: cost 12 inf + 145
1554048263.214 * * [simplify]: Extracting #4: cost 5 inf + 1197
1554048263.215 * * [simplify]: Extracting #5: cost 1 inf + 1925
1554048263.216 * * [simplify]: Extracting #6: cost 0 inf + 2107
1554048263.216 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
1554048263.216 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (pow k -1/2)))
1554048263.216 * * * * [progress]: [ 49 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.217 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
1554048263.217 * * [simplify]: iters left: 5 (7 enodes)
1554048263.221 * * [simplify]: iters left: 4 (26 enodes)
1554048263.229 * * [simplify]: iters left: 3 (35 enodes)
1554048263.240 * * [simplify]: iters left: 2 (44 enodes)
1554048263.251 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048263.251 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048263.251 * * [simplify]: Extracting #2: cost 18 inf + 0
1554048263.251 * * [simplify]: Extracting #3: cost 15 inf + 74
1554048263.251 * * [simplify]: Extracting #4: cost 8 inf + 554
1554048263.251 * * [simplify]: Extracting #5: cost 0 inf + 1911
1554048263.252 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
1554048263.252 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))
1554048263.252 * * * * [progress]: [ 50 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.252 * * * * [progress]: [ 51 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.252 * * * * [progress]: [ 52 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.252 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
1554048263.252 * * [simplify]: iters left: 6 (11 enodes)
1554048263.256 * * [simplify]: iters left: 5 (48 enodes)
1554048263.268 * * [simplify]: iters left: 4 (121 enodes)
1554048263.313 * * [simplify]: iters left: 3 (348 enodes)
1554048263.491 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048263.491 * * [simplify]: Extracting #1: cost 67 inf + 0
1554048263.492 * * [simplify]: Extracting #2: cost 165 inf + 786
1554048263.495 * * [simplify]: Extracting #3: cost 85 inf + 10177
1554048263.500 * * [simplify]: Extracting #4: cost 9 inf + 26399
1554048263.507 * * [simplify]: Extracting #5: cost 0 inf + 28546
1554048263.514 * * [simplify]: Extracting #6: cost 0 inf + 28506
1554048263.526 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
1554048263.526 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (pow k -1/2)))
1554048263.526 * * * * [progress]: [ 53 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.526 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
1554048263.526 * * [simplify]: iters left: 6 (9 enodes)
1554048263.529 * * [simplify]: iters left: 5 (45 enodes)
1554048263.538 * * [simplify]: iters left: 4 (117 enodes)
1554048263.587 * * [simplify]: iters left: 3 (374 enodes)
1554048263.841 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048263.842 * * [simplify]: Extracting #1: cost 77 inf + 0
1554048263.843 * * [simplify]: Extracting #2: cost 184 inf + 984
1554048263.847 * * [simplify]: Extracting #3: cost 106 inf + 11690
1554048263.861 * * [simplify]: Extracting #4: cost 6 inf + 30376
1554048263.880 * * [simplify]: Extracting #5: cost 0 inf + 31644
1554048263.896 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
1554048263.896 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (pow k -1/2)))
1554048263.896 * * * * [progress]: [ 54 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.896 * * * * [progress]: [ 55 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.896 * * * * [progress]: [ 56 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.896 * * * * [progress]: [ 57 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.896 * * * * [progress]: [ 58 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.896 * * * * [progress]: [ 59 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.896 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
1554048263.896 * * [simplify]: iters left: 3 (3 enodes)
1554048263.897 * * [simplify]: iters left: 2 (9 enodes)
1554048263.898 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048263.898 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048263.898 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048263.898 * * [simplify]: Extracting #3: cost 4 inf + 1
1554048263.899 * * [simplify]: Extracting #4: cost 0 inf + 405
1554048263.899 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
1554048263.899 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2)))
1554048263.899 * * * * [progress]: [ 60 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.899 * [simplify]: Simplifying (sqrt n)
1554048263.899 * * [simplify]: iters left: 1 (2 enodes)
1554048263.899 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048263.899 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048263.899 * * [simplify]: Extracting #2: cost 2 inf + 1
1554048263.899 * * [simplify]: Extracting #3: cost 0 inf + 83
1554048263.899 * [simplify]: Simplified to (sqrt n)
1554048263.899 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2)))
1554048263.900 * * * * [progress]: [ 61 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.900 * * * * [progress]: [ 62 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.900 * * * * [progress]: [ 63 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048263.900 * * * * [progress]: [ 64 / 118 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554048263.900 * * * * [progress]: [ 65 / 118 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554048263.900 * * * * [progress]: [ 66 / 118 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) 1))>
1554048263.900 * * * * [progress]: [ 67 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554048263.900 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554048263.900 * * [simplify]: iters left: 6 (17 enodes)
1554048263.905 * * [simplify]: iters left: 5 (69 enodes)
1554048263.917 * * [simplify]: iters left: 4 (115 enodes)
1554048263.954 * * [simplify]: iters left: 3 (296 enodes)
1554048264.065 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048264.066 * * [simplify]: Extracting #1: cost 28 inf + 0
1554048264.066 * * [simplify]: Extracting #2: cost 82 inf + 1
1554048264.066 * * [simplify]: Extracting #3: cost 126 inf + 148
1554048264.068 * * [simplify]: Extracting #4: cost 112 inf + 6630
1554048264.075 * * [simplify]: Extracting #5: cost 9 inf + 36683
1554048264.083 * * [simplify]: Extracting #6: cost 0 inf + 39789
1554048264.097 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2))
1554048264.097 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2))))
1554048264.097 * * * * [progress]: [ 68 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554048264.097 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554048264.097 * * [simplify]: iters left: 6 (17 enodes)
1554048264.108 * * [simplify]: iters left: 5 (69 enodes)
1554048264.131 * * [simplify]: iters left: 4 (115 enodes)
1554048264.175 * * [simplify]: iters left: 3 (296 enodes)
1554048264.311 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048264.311 * * [simplify]: Extracting #1: cost 28 inf + 0
1554048264.311 * * [simplify]: Extracting #2: cost 82 inf + 1
1554048264.312 * * [simplify]: Extracting #3: cost 126 inf + 148
1554048264.721 * * [simplify]: Extracting #4: cost 112 inf + 6630
1554048264.728 * * [simplify]: Extracting #5: cost 9 inf + 36683
1554048264.736 * * [simplify]: Extracting #6: cost 0 inf + 39789
1554048264.753 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2))
1554048264.753 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2))))
1554048264.753 * * * * [progress]: [ 69 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))))>
1554048264.753 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))
1554048264.753 * * [simplify]: iters left: 6 (17 enodes)
1554048264.763 * * [simplify]: iters left: 5 (74 enodes)
1554048264.790 * * [simplify]: iters left: 4 (136 enodes)
1554048264.853 * * [simplify]: iters left: 3 (358 enodes)
1554048264.998 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048264.998 * * [simplify]: Extracting #1: cost 34 inf + 0
1554048264.999 * * [simplify]: Extracting #2: cost 114 inf + 2
1554048264.999 * * [simplify]: Extracting #3: cost 153 inf + 1769
1554048265.001 * * [simplify]: Extracting #4: cost 136 inf + 12123
1554048265.012 * * [simplify]: Extracting #5: cost 37 inf + 41017
1554048265.031 * * [simplify]: Extracting #6: cost 0 inf + 54823
1554048265.045 * * [simplify]: Extracting #7: cost 0 inf + 54817
1554048265.056 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2))
1554048265.056 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2))))
1554048265.056 * * * * [progress]: [ 70 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554048265.056 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554048265.056 * * [simplify]: iters left: 6 (16 enodes)
1554048265.061 * * [simplify]: iters left: 5 (67 enodes)
1554048265.082 * * [simplify]: iters left: 4 (108 enodes)
1554048265.123 * * [simplify]: iters left: 3 (240 enodes)
1554048265.220 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048265.220 * * [simplify]: Extracting #1: cost 25 inf + 0
1554048265.221 * * [simplify]: Extracting #2: cost 74 inf + 1
1554048265.221 * * [simplify]: Extracting #3: cost 112 inf + 261
1554048265.225 * * [simplify]: Extracting #4: cost 91 inf + 8198
1554048265.234 * * [simplify]: Extracting #5: cost 28 inf + 24140
1554048265.247 * * [simplify]: Extracting #6: cost 5 inf + 31172
1554048265.261 * * [simplify]: Extracting #7: cost 0 inf + 32347
1554048265.278 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2))
1554048265.278 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2))))
1554048265.278 * * * * [progress]: [ 71 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554048265.278 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554048265.279 * * [simplify]: iters left: 6 (16 enodes)
1554048265.288 * * [simplify]: iters left: 5 (67 enodes)
1554048265.310 * * [simplify]: iters left: 4 (108 enodes)
1554048265.351 * * [simplify]: iters left: 3 (240 enodes)
1554048265.486 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048265.486 * * [simplify]: Extracting #1: cost 25 inf + 0
1554048265.486 * * [simplify]: Extracting #2: cost 74 inf + 1
1554048265.487 * * [simplify]: Extracting #3: cost 112 inf + 261
1554048265.491 * * [simplify]: Extracting #4: cost 91 inf + 8198
1554048265.500 * * [simplify]: Extracting #5: cost 28 inf + 24140
1554048265.514 * * [simplify]: Extracting #6: cost 5 inf + 31172
1554048265.529 * * [simplify]: Extracting #7: cost 0 inf + 32347
1554048265.543 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2))
1554048265.543 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2))))
1554048265.543 * * * * [progress]: [ 72 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))))>
1554048265.543 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))
1554048265.544 * * [simplify]: iters left: 6 (16 enodes)
1554048265.553 * * [simplify]: iters left: 5 (72 enodes)
1554048265.567 * * [simplify]: iters left: 4 (129 enodes)
1554048265.617 * * [simplify]: iters left: 3 (301 enodes)
1554048265.736 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048265.736 * * [simplify]: Extracting #1: cost 27 inf + 0
1554048265.736 * * [simplify]: Extracting #2: cost 90 inf + 2
1554048265.737 * * [simplify]: Extracting #3: cost 137 inf + 386
1554048265.740 * * [simplify]: Extracting #4: cost 125 inf + 7978
1554048265.750 * * [simplify]: Extracting #5: cost 47 inf + 29279
1554048265.764 * * [simplify]: Extracting #6: cost 5 inf + 40891
1554048265.773 * * [simplify]: Extracting #7: cost 0 inf + 42553
1554048265.782 * * [simplify]: Extracting #8: cost 0 inf + 42513
1554048265.796 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2))
1554048265.796 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2))))
1554048265.796 * * * * [progress]: [ 73 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554048265.797 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554048265.797 * * [simplify]: iters left: 6 (15 enodes)
1554048265.806 * * [simplify]: iters left: 5 (66 enodes)
1554048265.828 * * [simplify]: iters left: 4 (115 enodes)
1554048265.850 * * [simplify]: iters left: 3 (227 enodes)
1554048265.927 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048265.927 * * [simplify]: Extracting #1: cost 21 inf + 0
1554048265.928 * * [simplify]: Extracting #2: cost 77 inf + 1
1554048265.928 * * [simplify]: Extracting #3: cost 116 inf + 119
1554048265.930 * * [simplify]: Extracting #4: cost 112 inf + 3893
1554048265.938 * * [simplify]: Extracting #5: cost 22 inf + 22777
1554048265.948 * * [simplify]: Extracting #6: cost 0 inf + 29271
1554048265.956 * * [simplify]: Extracting #7: cost 0 inf + 29267
1554048265.962 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))
1554048265.963 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))
1554048265.963 * * * * [progress]: [ 74 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554048265.963 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554048265.963 * * [simplify]: iters left: 6 (15 enodes)
1554048265.968 * * [simplify]: iters left: 5 (66 enodes)
1554048265.980 * * [simplify]: iters left: 4 (115 enodes)
1554048266.021 * * [simplify]: iters left: 3 (227 enodes)
1554048266.087 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048266.087 * * [simplify]: Extracting #1: cost 21 inf + 0
1554048266.087 * * [simplify]: Extracting #2: cost 77 inf + 1
1554048266.088 * * [simplify]: Extracting #3: cost 116 inf + 119
1554048266.089 * * [simplify]: Extracting #4: cost 112 inf + 3893
1554048266.093 * * [simplify]: Extracting #5: cost 22 inf + 22777
1554048266.099 * * [simplify]: Extracting #6: cost 0 inf + 29271
1554048266.105 * * [simplify]: Extracting #7: cost 0 inf + 29267
1554048266.112 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))
1554048266.112 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))
1554048266.112 * * * * [progress]: [ 75 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))))>
1554048266.112 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))
1554048266.112 * * [simplify]: iters left: 6 (15 enodes)
1554048266.117 * * [simplify]: iters left: 5 (71 enodes)
1554048266.134 * * [simplify]: iters left: 4 (136 enodes)
1554048266.160 * * [simplify]: iters left: 3 (288 enodes)
1554048266.261 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048266.261 * * [simplify]: Extracting #1: cost 23 inf + 0
1554048266.261 * * [simplify]: Extracting #2: cost 90 inf + 2
1554048266.262 * * [simplify]: Extracting #3: cost 138 inf + 245
1554048266.263 * * [simplify]: Extracting #4: cost 128 inf + 7351
1554048266.269 * * [simplify]: Extracting #5: cost 67 inf + 19338
1554048266.282 * * [simplify]: Extracting #6: cost 4 inf + 36710
1554048266.295 * * [simplify]: Extracting #7: cost 0 inf + 37798
1554048266.303 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))
1554048266.303 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))
1554048266.303 * * * * [progress]: [ 76 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554048266.304 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554048266.304 * * [simplify]: iters left: 6 (15 enodes)
1554048266.309 * * [simplify]: iters left: 5 (66 enodes)
1554048266.323 * * [simplify]: iters left: 4 (115 enodes)
1554048266.358 * * [simplify]: iters left: 3 (227 enodes)
1554048266.428 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048266.428 * * [simplify]: Extracting #1: cost 21 inf + 0
1554048266.428 * * [simplify]: Extracting #2: cost 77 inf + 1
1554048266.428 * * [simplify]: Extracting #3: cost 116 inf + 119
1554048266.429 * * [simplify]: Extracting #4: cost 112 inf + 3893
1554048266.433 * * [simplify]: Extracting #5: cost 22 inf + 22777
1554048266.439 * * [simplify]: Extracting #6: cost 0 inf + 29271
1554048266.451 * * [simplify]: Extracting #7: cost 0 inf + 29267
1554048266.460 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))
1554048266.460 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))
1554048266.460 * * * * [progress]: [ 77 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))))>
1554048266.461 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2))
1554048266.461 * * [simplify]: iters left: 6 (15 enodes)
1554048266.465 * * [simplify]: iters left: 5 (66 enodes)
1554048266.476 * * [simplify]: iters left: 4 (115 enodes)
1554048266.505 * * [simplify]: iters left: 3 (227 enodes)
1554048266.613 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048266.614 * * [simplify]: Extracting #1: cost 21 inf + 0
1554048266.614 * * [simplify]: Extracting #2: cost 77 inf + 1
1554048266.614 * * [simplify]: Extracting #3: cost 116 inf + 119
1554048266.615 * * [simplify]: Extracting #4: cost 112 inf + 3893
1554048266.622 * * [simplify]: Extracting #5: cost 22 inf + 22777
1554048266.628 * * [simplify]: Extracting #6: cost 0 inf + 29271
1554048266.634 * * [simplify]: Extracting #7: cost 0 inf + 29267
1554048266.642 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))
1554048266.642 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))
1554048266.642 * * * * [progress]: [ 78 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))))>
1554048266.642 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2)))
1554048266.642 * * [simplify]: iters left: 6 (15 enodes)
1554048266.652 * * [simplify]: iters left: 5 (71 enodes)
1554048266.678 * * [simplify]: iters left: 4 (136 enodes)
1554048266.712 * * [simplify]: iters left: 3 (288 enodes)
1554048266.832 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048266.832 * * [simplify]: Extracting #1: cost 23 inf + 0
1554048266.832 * * [simplify]: Extracting #2: cost 90 inf + 2
1554048266.833 * * [simplify]: Extracting #3: cost 138 inf + 245
1554048266.834 * * [simplify]: Extracting #4: cost 128 inf + 7351
1554048266.841 * * [simplify]: Extracting #5: cost 67 inf + 19338
1554048266.848 * * [simplify]: Extracting #6: cost 4 inf + 36710
1554048266.862 * * [simplify]: Extracting #7: cost 0 inf + 37798
1554048266.877 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))
1554048266.877 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))
1554048266.877 * * * * [progress]: [ 79 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2))))>
1554048266.877 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2))
1554048266.878 * * [simplify]: iters left: 6 (15 enodes)
1554048266.885 * * [simplify]: iters left: 5 (64 enodes)
1554048266.896 * * [simplify]: iters left: 4 (114 enodes)
1554048266.924 * * [simplify]: iters left: 3 (219 enodes)
1554048266.993 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048266.993 * * [simplify]: Extracting #1: cost 20 inf + 0
1554048266.993 * * [simplify]: Extracting #2: cost 102 inf + 1
1554048266.994 * * [simplify]: Extracting #3: cost 158 inf + 77
1554048266.995 * * [simplify]: Extracting #4: cost 153 inf + 1729
1554048266.997 * * [simplify]: Extracting #5: cost 59 inf + 18516
1554048267.003 * * [simplify]: Extracting #6: cost 3 inf + 36403
1554048267.011 * * [simplify]: Extracting #7: cost 0 inf + 37672
1554048267.025 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
1554048267.025 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))))
1554048267.025 * * * * [progress]: [ 80 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2))))>
1554048267.025 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2))
1554048267.026 * * [simplify]: iters left: 6 (15 enodes)
1554048267.030 * * [simplify]: iters left: 5 (64 enodes)
1554048267.046 * * [simplify]: iters left: 4 (114 enodes)
1554048267.070 * * [simplify]: iters left: 3 (219 enodes)
1554048267.138 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048267.139 * * [simplify]: Extracting #1: cost 20 inf + 0
1554048267.139 * * [simplify]: Extracting #2: cost 102 inf + 1
1554048267.139 * * [simplify]: Extracting #3: cost 158 inf + 77
1554048267.143 * * [simplify]: Extracting #4: cost 153 inf + 1729
1554048267.146 * * [simplify]: Extracting #5: cost 59 inf + 18516
1554048267.152 * * [simplify]: Extracting #6: cost 3 inf + 36403
1554048267.159 * * [simplify]: Extracting #7: cost 0 inf + 37672
1554048267.166 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
1554048267.166 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))))
1554048267.166 * * * * [progress]: [ 81 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (pow k -1/2)))))>
1554048267.166 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (pow k -1/2)))
1554048267.167 * * [simplify]: iters left: 6 (15 enodes)
1554048267.176 * * [simplify]: iters left: 5 (69 enodes)
1554048267.202 * * [simplify]: iters left: 4 (135 enodes)
1554048267.228 * * [simplify]: iters left: 3 (275 enodes)
1554048267.347 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048267.347 * * [simplify]: Extracting #1: cost 25 inf + 0
1554048267.348 * * [simplify]: Extracting #2: cost 127 inf + 2
1554048267.349 * * [simplify]: Extracting #3: cost 188 inf + 416
1554048267.351 * * [simplify]: Extracting #4: cost 121 inf + 18191
1554048267.358 * * [simplify]: Extracting #5: cost 27 inf + 41295
1554048267.369 * * [simplify]: Extracting #6: cost 3 inf + 47356
1554048267.378 * * [simplify]: Extracting #7: cost 0 inf + 49197
1554048267.395 * [simplify]: Simplified to (fma -1/2 (log k) (/ (* (log (* (* PI 2) n)) (- 1 k)) 2))
1554048267.396 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (* (log (* (* PI 2) n)) (- 1 k)) 2))))
1554048267.396 * * * * [progress]: [ 82 / 118 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554048267.396 * * * * [progress]: [ 83 / 118 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554048267.396 * * * * [progress]: [ 84 / 118 ] 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))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)))))>
1554048267.396 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)))
1554048267.396 * * [simplify]: iters left: 6 (17 enodes)
1554048267.409 * * [simplify]: iters left: 5 (82 enodes)
1554048267.441 * * [simplify]: iters left: 4 (191 enodes)
1554048267.537 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048267.537 * * [simplify]: Extracting #1: cost 37 inf + 0
1554048267.538 * * [simplify]: Extracting #2: cost 149 inf + 1
1554048267.539 * * [simplify]: Extracting #3: cost 164 inf + 1227
1554048267.542 * * [simplify]: Extracting #4: cost 143 inf + 7877
1554048267.546 * * [simplify]: Extracting #5: cost 99 inf + 21139
1554048267.564 * * [simplify]: Extracting #6: cost 16 inf + 78579
1554048267.586 * * [simplify]: Extracting #7: cost 0 inf + 89084
1554048267.603 * * [simplify]: Extracting #8: cost 0 inf + 88809
1554048267.617 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)))
1554048267.617 * [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)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)))))
1554048267.617 * * * * [progress]: [ 85 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554048267.617 * * * * [progress]: [ 86 / 118 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554048267.617 * * * * [progress]: [ 87 / 118 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554048267.617 * * * * [progress]: [ 88 / 118 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))))>
1554048267.617 * * * * [progress]: [ 89 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))))>
1554048267.617 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))
1554048267.617 * * [simplify]: iters left: 6 (15 enodes)
1554048267.622 * * [simplify]: iters left: 5 (65 enodes)
1554048267.643 * * [simplify]: iters left: 4 (115 enodes)
1554048267.681 * * [simplify]: iters left: 3 (196 enodes)
1554048267.725 * * [simplify]: iters left: 2 (351 enodes)
1554048267.846 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048267.846 * * [simplify]: Extracting #1: cost 23 inf + 0
1554048267.846 * * [simplify]: Extracting #2: cost 77 inf + 0
1554048267.847 * * [simplify]: Extracting #3: cost 90 inf + 7
1554048267.847 * * [simplify]: Extracting #4: cost 142 inf + 10
1554048267.848 * * [simplify]: Extracting #5: cost 144 inf + 4587
1554048267.852 * * [simplify]: Extracting #6: cost 61 inf + 38130
1554048267.862 * * [simplify]: Extracting #7: cost 12 inf + 66391
1554048267.880 * * [simplify]: Extracting #8: cost 0 inf + 74148
1554048267.894 * * [simplify]: Extracting #9: cost 0 inf + 74108
1554048267.902 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))
1554048267.902 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))))
1554048267.903 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))
1554048267.903 * * [simplify]: iters left: 6 (15 enodes)
1554048267.908 * * [simplify]: iters left: 5 (65 enodes)
1554048267.922 * * [simplify]: iters left: 4 (115 enodes)
1554048267.967 * * [simplify]: iters left: 3 (196 enodes)
1554048268.034 * * [simplify]: iters left: 2 (351 enodes)
1554048268.180 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048268.180 * * [simplify]: Extracting #1: cost 23 inf + 0
1554048268.181 * * [simplify]: Extracting #2: cost 77 inf + 0
1554048268.181 * * [simplify]: Extracting #3: cost 90 inf + 7
1554048268.182 * * [simplify]: Extracting #4: cost 142 inf + 10
1554048268.184 * * [simplify]: Extracting #5: cost 144 inf + 4587
1554048268.192 * * [simplify]: Extracting #6: cost 61 inf + 38130
1554048268.207 * * [simplify]: Extracting #7: cost 12 inf + 66391
1554048268.223 * * [simplify]: Extracting #8: cost 0 inf + 74148
1554048268.232 * * [simplify]: Extracting #9: cost 0 inf + 74108
1554048268.241 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))
1554048268.241 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2))))
1554048268.241 * * * * [progress]: [ 90 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))))>
1554048268.242 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))
1554048268.242 * * [simplify]: iters left: 6 (15 enodes)
1554048268.247 * * [simplify]: iters left: 5 (65 enodes)
1554048268.271 * * [simplify]: iters left: 4 (112 enodes)
1554048268.302 * * [simplify]: iters left: 3 (182 enodes)
1554048268.337 * * [simplify]: iters left: 2 (308 enodes)
1554048268.401 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048268.401 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048268.401 * * [simplify]: Extracting #2: cost 10 inf + 0
1554048268.401 * * [simplify]: Extracting #3: cost 40 inf + 0
1554048268.402 * * [simplify]: Extracting #4: cost 114 inf + 4
1554048268.402 * * [simplify]: Extracting #5: cost 116 inf + 2872
1554048268.404 * * [simplify]: Extracting #6: cost 49 inf + 20626
1554048268.409 * * [simplify]: Extracting #7: cost 15 inf + 34343
1554048268.414 * * [simplify]: Extracting #8: cost 0 inf + 43332
1554048268.419 * * [simplify]: Extracting #9: cost 0 inf + 42527
1554048268.425 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))
1554048268.425 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))))
1554048268.425 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))
1554048268.425 * * [simplify]: iters left: 6 (15 enodes)
1554048268.430 * * [simplify]: iters left: 5 (65 enodes)
1554048268.442 * * [simplify]: iters left: 4 (112 enodes)
1554048268.465 * * [simplify]: iters left: 3 (182 enodes)
1554048268.513 * * [simplify]: iters left: 2 (308 enodes)
1554048268.599 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048268.599 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048268.599 * * [simplify]: Extracting #2: cost 10 inf + 0
1554048268.599 * * [simplify]: Extracting #3: cost 40 inf + 0
1554048268.600 * * [simplify]: Extracting #4: cost 114 inf + 4
1554048268.601 * * [simplify]: Extracting #5: cost 116 inf + 2872
1554048268.606 * * [simplify]: Extracting #6: cost 49 inf + 20626
1554048268.614 * * [simplify]: Extracting #7: cost 15 inf + 34343
1554048268.625 * * [simplify]: Extracting #8: cost 0 inf + 43332
1554048268.635 * * [simplify]: Extracting #9: cost 0 inf + 42527
1554048268.645 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))
1554048268.645 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2)))))
1554048268.645 * * * * [progress]: [ 91 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2)))))>
1554048268.646 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2)))
1554048268.646 * * [simplify]: iters left: 6 (15 enodes)
1554048268.655 * * [simplify]: iters left: 5 (66 enodes)
1554048268.680 * * [simplify]: iters left: 4 (121 enodes)
1554048268.724 * * [simplify]: iters left: 3 (217 enodes)
1554048268.776 * * [simplify]: iters left: 2 (372 enodes)
1554048268.897 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048268.897 * * [simplify]: Extracting #1: cost 25 inf + 0
1554048268.897 * * [simplify]: Extracting #2: cost 79 inf + 0
1554048268.898 * * [simplify]: Extracting #3: cost 86 inf + 644
1554048268.899 * * [simplify]: Extracting #4: cost 125 inf + 4695
1554048268.902 * * [simplify]: Extracting #5: cost 122 inf + 12699
1554048268.911 * * [simplify]: Extracting #6: cost 47 inf + 50641
1554048268.924 * * [simplify]: Extracting #7: cost 0 inf + 71560
1554048268.933 * * [simplify]: Extracting #8: cost 0 inf + 70898
1554048268.942 * * [simplify]: Extracting #9: cost 0 inf + 70778
1554048268.960 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4))
1554048268.960 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2)))))
1554048268.961 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2)))
1554048268.961 * * [simplify]: iters left: 6 (15 enodes)
1554048268.970 * * [simplify]: iters left: 5 (66 enodes)
1554048268.989 * * [simplify]: iters left: 4 (121 enodes)
1554048269.012 * * [simplify]: iters left: 3 (217 enodes)
1554048269.079 * * [simplify]: iters left: 2 (372 enodes)
1554048269.170 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048269.170 * * [simplify]: Extracting #1: cost 25 inf + 0
1554048269.170 * * [simplify]: Extracting #2: cost 79 inf + 0
1554048269.170 * * [simplify]: Extracting #3: cost 86 inf + 644
1554048269.171 * * [simplify]: Extracting #4: cost 125 inf + 4695
1554048269.172 * * [simplify]: Extracting #5: cost 122 inf + 12699
1554048269.181 * * [simplify]: Extracting #6: cost 47 inf + 50641
1554048269.193 * * [simplify]: Extracting #7: cost 0 inf + 71560
1554048269.202 * * [simplify]: Extracting #8: cost 0 inf + 70898
1554048269.211 * * [simplify]: Extracting #9: cost 0 inf + 70778
1554048269.220 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4))
1554048269.220 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4))))
1554048269.220 * * * * [progress]: [ 92 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2))))>
1554048269.220 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2))
1554048269.220 * * [simplify]: iters left: 6 (15 enodes)
1554048269.226 * * [simplify]: iters left: 5 (68 enodes)
1554048269.253 * * [simplify]: iters left: 4 (128 enodes)
1554048269.296 * * [simplify]: iters left: 3 (255 enodes)
1554048269.407 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048269.408 * * [simplify]: Extracting #1: cost 25 inf + 0
1554048269.408 * * [simplify]: Extracting #2: cost 105 inf + 0
1554048269.409 * * [simplify]: Extracting #3: cost 146 inf + 4
1554048269.410 * * [simplify]: Extracting #4: cost 148 inf + 515
1554048269.413 * * [simplify]: Extracting #5: cost 93 inf + 10540
1554048269.425 * * [simplify]: Extracting #6: cost 15 inf + 59119
1554048269.433 * * [simplify]: Extracting #7: cost 0 inf + 69937
1554048269.442 * * [simplify]: Extracting #8: cost 0 inf + 69817
1554048269.450 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2))
1554048269.450 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2))))
1554048269.450 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2))
1554048269.451 * * [simplify]: iters left: 6 (15 enodes)
1554048269.456 * * [simplify]: iters left: 5 (68 enodes)
1554048269.472 * * [simplify]: iters left: 4 (128 enodes)
1554048269.525 * * [simplify]: iters left: 3 (255 enodes)
1554048269.645 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048269.645 * * [simplify]: Extracting #1: cost 25 inf + 0
1554048269.646 * * [simplify]: Extracting #2: cost 105 inf + 0
1554048269.647 * * [simplify]: Extracting #3: cost 146 inf + 4
1554048269.648 * * [simplify]: Extracting #4: cost 148 inf + 515
1554048269.651 * * [simplify]: Extracting #5: cost 93 inf + 10540
1554048269.663 * * [simplify]: Extracting #6: cost 15 inf + 59119
1554048269.679 * * [simplify]: Extracting #7: cost 0 inf + 69937
1554048269.696 * * [simplify]: Extracting #8: cost 0 inf + 69817
1554048269.712 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2))
1554048269.712 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2))))
1554048269.712 * * * * [progress]: [ 93 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))))>
1554048269.713 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))
1554048269.713 * * [simplify]: iters left: 6 (15 enodes)
1554048269.722 * * [simplify]: iters left: 5 (68 enodes)
1554048269.746 * * [simplify]: iters left: 4 (121 enodes)
1554048269.794 * * [simplify]: iters left: 3 (218 enodes)
1554048269.876 * * [simplify]: iters left: 2 (424 enodes)
1554048270.020 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048270.020 * * [simplify]: Extracting #1: cost 31 inf + 0
1554048270.020 * * [simplify]: Extracting #2: cost 106 inf + 0
1554048270.021 * * [simplify]: Extracting #3: cost 171 inf + 2
1554048270.023 * * [simplify]: Extracting #4: cost 192 inf + 722
1554048270.028 * * [simplify]: Extracting #5: cost 127 inf + 17763
1554048270.043 * * [simplify]: Extracting #6: cost 41 inf + 58384
1554048270.066 * * [simplify]: Extracting #7: cost 0 inf + 91463
1554048270.089 * * [simplify]: Extracting #8: cost 0 inf + 91291
1554048270.113 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (pow k -1/2)))
1554048270.113 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))))
1554048270.113 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))
1554048270.114 * * [simplify]: iters left: 6 (15 enodes)
1554048270.123 * * [simplify]: iters left: 5 (68 enodes)
1554048270.148 * * [simplify]: iters left: 4 (121 enodes)
1554048270.195 * * [simplify]: iters left: 3 (218 enodes)
1554048270.253 * * [simplify]: iters left: 2 (424 enodes)
1554048270.376 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048270.377 * * [simplify]: Extracting #1: cost 31 inf + 0
1554048270.377 * * [simplify]: Extracting #2: cost 106 inf + 0
1554048270.378 * * [simplify]: Extracting #3: cost 171 inf + 2
1554048270.380 * * [simplify]: Extracting #4: cost 192 inf + 722
1554048270.385 * * [simplify]: Extracting #5: cost 127 inf + 17763
1554048270.401 * * [simplify]: Extracting #6: cost 41 inf + 58384
1554048270.422 * * [simplify]: Extracting #7: cost 0 inf + 91463
1554048270.434 * * [simplify]: Extracting #8: cost 0 inf + 91291
1554048270.446 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (pow k -1/2)))
1554048270.446 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (pow k -1/2)))))
1554048270.446 * * * * [progress]: [ 94 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2)))))>
1554048270.447 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2)))
1554048270.447 * * [simplify]: iters left: 6 (15 enodes)
1554048270.453 * * [simplify]: iters left: 5 (69 enodes)
1554048270.475 * * [simplify]: iters left: 4 (134 enodes)
1554048270.523 * * [simplify]: iters left: 3 (269 enodes)
1554048270.628 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048270.628 * * [simplify]: Extracting #1: cost 32 inf + 0
1554048270.628 * * [simplify]: Extracting #2: cost 112 inf + 0
1554048270.629 * * [simplify]: Extracting #3: cost 145 inf + 218
1554048270.631 * * [simplify]: Extracting #4: cost 127 inf + 4971
1554048270.641 * * [simplify]: Extracting #5: cost 25 inf + 53274
1554048270.650 * * [simplify]: Extracting #6: cost 0 inf + 68297
1554048270.658 * * [simplify]: Extracting #7: cost 0 inf + 67655
1554048270.666 * * [simplify]: Extracting #8: cost 0 inf + 67536
1554048270.681 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4))
1554048270.681 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2)))))
1554048270.681 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2)))
1554048270.681 * * [simplify]: iters left: 6 (15 enodes)
1554048270.693 * * [simplify]: iters left: 5 (69 enodes)
1554048270.719 * * [simplify]: iters left: 4 (134 enodes)
1554048270.746 * * [simplify]: iters left: 3 (269 enodes)
1554048270.844 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048270.844 * * [simplify]: Extracting #1: cost 32 inf + 0
1554048270.844 * * [simplify]: Extracting #2: cost 112 inf + 0
1554048270.845 * * [simplify]: Extracting #3: cost 145 inf + 218
1554048270.847 * * [simplify]: Extracting #4: cost 127 inf + 4971
1554048270.857 * * [simplify]: Extracting #5: cost 25 inf + 53274
1554048270.874 * * [simplify]: Extracting #6: cost 0 inf + 68297
1554048270.886 * * [simplify]: Extracting #7: cost 0 inf + 67655
1554048270.894 * * [simplify]: Extracting #8: cost 0 inf + 67536
1554048270.902 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4))
1554048270.903 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4))))
1554048270.903 * * * * [progress]: [ 95 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) (pow (cbrt k) -1/2)))>
1554048270.903 * [simplify]: Simplifying (pow (cbrt k) -1/2)
1554048270.903 * * [simplify]: iters left: 2 (4 enodes)
1554048270.905 * * [simplify]: iters left: 1 (17 enodes)
1554048270.911 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048270.911 * * [simplify]: Extracting #1: cost 5 inf + 0
1554048270.911 * * [simplify]: Extracting #2: cost 9 inf + 1
1554048270.911 * * [simplify]: Extracting #3: cost 8 inf + 3
1554048270.911 * * [simplify]: Extracting #4: cost 1 inf + 1334
1554048270.912 * * [simplify]: Extracting #5: cost 0 inf + 1626
1554048270.912 * [simplify]: Simplified to (pow (cbrt k) -1/2)
1554048270.912 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) (pow (cbrt k) -1/2)))
1554048270.912 * * * * [progress]: [ 96 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) (pow (sqrt k) -1/2)))>
1554048270.912 * [simplify]: Simplifying (pow (sqrt k) -1/2)
1554048270.912 * * [simplify]: iters left: 2 (4 enodes)
1554048270.915 * * [simplify]: iters left: 1 (17 enodes)
1554048270.927 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048270.928 * * [simplify]: Extracting #1: cost 5 inf + 0
1554048270.928 * * [simplify]: Extracting #2: cost 9 inf + 1
1554048270.928 * * [simplify]: Extracting #3: cost 8 inf + 3
1554048270.928 * * [simplify]: Extracting #4: cost 1 inf + 1094
1554048270.928 * * [simplify]: Extracting #5: cost 0 inf + 1346
1554048270.928 * [simplify]: Simplified to (pow (sqrt k) -1/2)
1554048270.928 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) (pow (sqrt k) -1/2)))
1554048270.929 * * * * [progress]: [ 97 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow 1 -1/2)) (pow k -1/2)))>
1554048270.929 * [simplify]: Simplifying (pow k -1/2)
1554048270.929 * * [simplify]: iters left: 1 (3 enodes)
1554048270.931 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048270.931 * * [simplify]: Extracting #1: cost 5 inf + 0
1554048270.932 * * [simplify]: Extracting #2: cost 4 inf + 2
1554048270.932 * * [simplify]: Extracting #3: cost 1 inf + 427
1554048270.932 * * [simplify]: Extracting #4: cost 0 inf + 639
1554048270.932 * [simplify]: Simplified to (pow k -1/2)
1554048270.932 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow 1 -1/2)) (pow k -1/2)))
1554048270.932 * * * * [progress]: [ 98 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) (cbrt (pow k -1/2))))>
1554048270.932 * [simplify]: Simplifying (cbrt (pow k -1/2))
1554048270.932 * * [simplify]: iters left: 2 (4 enodes)
1554048270.935 * * [simplify]: iters left: 1 (17 enodes)
1554048270.940 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048270.940 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048270.941 * * [simplify]: Extracting #2: cost 7 inf + 0
1554048270.941 * * [simplify]: Extracting #3: cost 8 inf + 2
1554048270.941 * * [simplify]: Extracting #4: cost 3 inf + 1223
1554048270.941 * * [simplify]: Extracting #5: cost 1 inf + 1436
1554048270.941 * * [simplify]: Extracting #6: cost 0 inf + 1648
1554048270.941 * [simplify]: Simplified to (cbrt (pow k -1/2))
1554048270.941 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) (cbrt (pow k -1/2))))
1554048270.941 * * * * [progress]: [ 99 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (pow k -1/2))) (sqrt (pow k -1/2))))>
1554048270.941 * [simplify]: Simplifying (sqrt (pow k -1/2))
1554048270.941 * * [simplify]: iters left: 2 (4 enodes)
1554048270.943 * * [simplify]: iters left: 1 (17 enodes)
1554048270.947 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048270.947 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048270.947 * * [simplify]: Extracting #2: cost 10 inf + 0
1554048270.947 * * [simplify]: Extracting #3: cost 8 inf + 3
1554048270.948 * * [simplify]: Extracting #4: cost 1 inf + 1356
1554048270.948 * * [simplify]: Extracting #5: cost 0 inf + 1568
1554048270.948 * [simplify]: Simplified to (sqrt (pow k -1/2))
1554048270.948 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (pow k -1/2))) (sqrt (pow k -1/2))))
1554048270.948 * * * * [progress]: [ 100 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (pow k -1/2)))>
1554048270.948 * [simplify]: Simplifying (pow k -1/2)
1554048270.948 * * [simplify]: iters left: 1 (3 enodes)
1554048270.949 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048270.949 * * [simplify]: Extracting #1: cost 5 inf + 0
1554048270.950 * * [simplify]: Extracting #2: cost 4 inf + 2
1554048270.950 * * [simplify]: Extracting #3: cost 1 inf + 427
1554048270.950 * * [simplify]: Extracting #4: cost 0 inf + 639
1554048270.950 * [simplify]: Simplified to (pow k -1/2)
1554048270.950 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (pow k -1/2)))
1554048270.950 * * * * [progress]: [ 101 / 118 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (/ -1/2 2))) (pow k (/ -1/2 2))))>
1554048270.950 * [simplify]: Simplifying (pow k (/ -1/2 2))
1554048270.950 * * [simplify]: iters left: 3 (5 enodes)
1554048270.952 * * [simplify]: iters left: 2 (20 enodes)
1554048270.957 * * [simplify]: iters left: 1 (37 enodes)
1554048270.967 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048270.967 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048270.967 * * [simplify]: Extracting #2: cost 12 inf + 2
1554048270.967 * * [simplify]: Extracting #3: cost 7 inf + 852
1554048270.967 * * [simplify]: Extracting #4: cost 0 inf + 2667
1554048270.967 * [simplify]: Simplified to (pow k -1/4)
1554048270.967 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (/ -1/2 2))) (pow k -1/4)))
1554048270.968 * * * * [progress]: [ 102 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow k -1/2))))>
1554048270.968 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
1554048270.968 * * [simplify]: iters left: 5 (7 enodes)
1554048270.971 * * [simplify]: iters left: 4 (32 enodes)
1554048270.981 * * [simplify]: iters left: 3 (57 enodes)
1554048270.991 * * [simplify]: iters left: 2 (88 enodes)
1554048271.008 * * [simplify]: iters left: 1 (156 enodes)
1554048271.068 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048271.068 * * [simplify]: Extracting #1: cost 13 inf + 0
1554048271.069 * * [simplify]: Extracting #2: cost 49 inf + 2
1554048271.069 * * [simplify]: Extracting #3: cost 80 inf + 6
1554048271.069 * * [simplify]: Extracting #4: cost 58 inf + 1840
1554048271.071 * * [simplify]: Extracting #5: cost 22 inf + 9206
1554048271.074 * * [simplify]: Extracting #6: cost 1 inf + 20886
1554048271.077 * * [simplify]: Extracting #7: cost 0 inf + 21301
1554048271.080 * * [simplify]: Extracting #8: cost 0 inf + 21130
1554048271.083 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
1554048271.083 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow k -1/2))))
1554048271.083 * * * * [progress]: [ 103 / 118 ] 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))) (pow k -1/2))))>
1554048271.083 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
1554048271.083 * * [simplify]: iters left: 6 (12 enodes)
1554048271.087 * * [simplify]: iters left: 5 (51 enodes)
1554048271.098 * * [simplify]: iters left: 4 (84 enodes)
1554048271.118 * * [simplify]: iters left: 3 (125 enodes)
1554048271.143 * * [simplify]: iters left: 2 (198 enodes)
1554048271.210 * * [simplify]: iters left: 1 (353 enodes)
1554048271.330 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048271.330 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048271.330 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048271.330 * * [simplify]: Extracting #3: cost 28 inf + 0
1554048271.330 * * [simplify]: Extracting #4: cost 101 inf + 1
1554048271.331 * * [simplify]: Extracting #5: cost 136 inf + 176
1554048271.331 * * [simplify]: Extracting #6: cost 126 inf + 1348
1554048271.334 * * [simplify]: Extracting #7: cost 70 inf + 12457
1554048271.345 * * [simplify]: Extracting #8: cost 19 inf + 42176
1554048271.364 * * [simplify]: Extracting #9: cost 0 inf + 57297
1554048271.374 * * [simplify]: Extracting #10: cost 0 inf + 56855
1554048271.384 * * [simplify]: Extracting #11: cost 0 inf + 56816
1554048271.395 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
1554048271.395 * [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))) (pow k -1/2))))
1554048271.395 * * * * [progress]: [ 104 / 118 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2))))>
1554048271.395 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
1554048271.395 * * [simplify]: iters left: 6 (11 enodes)
1554048271.402 * * [simplify]: iters left: 5 (48 enodes)
1554048271.417 * * [simplify]: iters left: 4 (78 enodes)
1554048271.430 * * [simplify]: iters left: 3 (120 enodes)
1554048271.463 * * [simplify]: iters left: 2 (211 enodes)
1554048271.544 * * [simplify]: iters left: 1 (380 enodes)
1554048271.681 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048271.681 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048271.681 * * [simplify]: Extracting #2: cost 29 inf + 0
1554048271.682 * * [simplify]: Extracting #3: cost 113 inf + 1
1554048271.682 * * [simplify]: Extracting #4: cost 155 inf + 220
1554048271.683 * * [simplify]: Extracting #5: cost 153 inf + 561
1554048271.684 * * [simplify]: Extracting #6: cost 121 inf + 2833
1554048271.690 * * [simplify]: Extracting #7: cost 68 inf + 14038
1554048271.705 * * [simplify]: Extracting #8: cost 15 inf + 50044
1554048271.726 * * [simplify]: Extracting #9: cost 0 inf + 59395
1554048271.748 * * [simplify]: Extracting #10: cost 0 inf + 59194
1554048271.758 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
1554048271.759 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2))))
1554048271.759 * * * * [progress]: [ 105 / 118 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))))>
1554048271.759 * * * * [progress]: [ 106 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048271.759 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
1554048271.759 * * [simplify]: iters left: 6 (11 enodes)
1554048271.763 * * [simplify]: iters left: 5 (51 enodes)
1554048271.772 * * [simplify]: iters left: 4 (87 enodes)
1554048271.787 * * [simplify]: iters left: 3 (143 enodes)
1554048271.815 * * [simplify]: iters left: 2 (259 enodes)
1554048271.888 * * [simplify]: iters left: 1 (469 enodes)
1554048272.092 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048272.092 * * [simplify]: Extracting #1: cost 24 inf + 0
1554048272.093 * * [simplify]: Extracting #2: cost 110 inf + 1
1554048272.094 * * [simplify]: Extracting #3: cost 192 inf + 178
1554048272.096 * * [simplify]: Extracting #4: cost 178 inf + 1845
1554048272.104 * * [simplify]: Extracting #5: cost 89 inf + 12477
1554048272.110 * * [simplify]: Extracting #6: cost 41 inf + 28219
1554048272.120 * * [simplify]: Extracting #7: cost 4 inf + 58625
1554048272.130 * * [simplify]: Extracting #8: cost 0 inf + 62670
1554048272.140 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k)))
1554048272.140 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048272.141 * * * * [progress]: [ 107 / 118 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ 1 2)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2))))>
1554048272.141 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (pow k -1/2))
1554048272.141 * * [simplify]: iters left: 6 (12 enodes)
1554048272.146 * * [simplify]: iters left: 5 (52 enodes)
1554048272.157 * * [simplify]: iters left: 4 (104 enodes)
1554048272.198 * * [simplify]: iters left: 3 (223 enodes)
1554048272.264 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048272.264 * * [simplify]: Extracting #1: cost 31 inf + 0
1554048272.264 * * [simplify]: Extracting #2: cost 109 inf + 0
1554048272.265 * * [simplify]: Extracting #3: cost 108 inf + 10
1554048272.265 * * [simplify]: Extracting #4: cost 90 inf + 3894
1554048272.267 * * [simplify]: Extracting #5: cost 40 inf + 27466
1554048272.272 * * [simplify]: Extracting #6: cost 0 inf + 54412
1554048272.277 * [simplify]: Simplified to (* (sqrt (* (* PI 2) n)) (pow k -1/2))
1554048272.277 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2))))
1554048272.277 * * * * [progress]: [ 108 / 118 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))>
1554048272.277 * * * * [progress]: [ 109 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
1554048272.277 * * * * [progress]: [ 110 / 118 ] 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))))) (pow k -1/2)))>
1554048272.278 * [simplify]: Simplifying (- (+ (* 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)))))
1554048272.278 * * [simplify]: iters left: 6 (37 enodes)
1554048272.300 * * [simplify]: iters left: 5 (190 enodes)
1554048272.346 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048272.346 * * [simplify]: Extracting #1: cost 22 inf + 0
1554048272.347 * * [simplify]: Extracting #2: cost 108 inf + 1
1554048272.348 * * [simplify]: Extracting #3: cost 171 inf + 46
1554048272.349 * * [simplify]: Extracting #4: cost 189 inf + 427
1554048272.353 * * [simplify]: Extracting #5: cost 128 inf + 16032
1554048272.370 * * [simplify]: Extracting #6: cost 29 inf + 57153
1554048272.394 * * [simplify]: Extracting #7: cost 4 inf + 75884
1554048272.412 * * [simplify]: Extracting #8: cost 0 inf + 78767
1554048272.428 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2)))
1554048272.428 * [simplify]: Simplified (2 1) to (λ (k n) (* (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (pow k -1/2)))
1554048272.429 * * * * [progress]: [ 111 / 118 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k -1/2)))>
1554048272.429 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554048272.429 * * [simplify]: iters left: 6 (15 enodes)
1554048272.434 * * [simplify]: iters left: 5 (65 enodes)
1554048272.445 * * [simplify]: iters left: 4 (123 enodes)
1554048272.491 * * [simplify]: iters left: 3 (367 enodes)
1554048272.668 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048272.668 * * [simplify]: Extracting #1: cost 37 inf + 0
1554048272.669 * * [simplify]: Extracting #2: cost 216 inf + 72
1554048272.672 * * [simplify]: Extracting #3: cost 356 inf + 1622
1554048272.682 * * [simplify]: Extracting #4: cost 219 inf + 28945
1554048272.695 * * [simplify]: Extracting #5: cost 21 inf + 83197
1554048272.712 * * [simplify]: Extracting #6: cost 0 inf + 89881
1554048272.739 * * [simplify]: Extracting #7: cost 0 inf + 89729
1554048272.758 * * [simplify]: Extracting #8: cost 0 inf + 89726
1554048272.776 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))
1554048272.776 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (pow k -1/2)))
1554048272.776 * * * * [progress]: [ 112 / 118 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k -1/2)))>
1554048272.776 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554048272.776 * * [simplify]: iters left: 6 (16 enodes)
1554048272.782 * * [simplify]: iters left: 5 (67 enodes)
1554048272.794 * * [simplify]: iters left: 4 (134 enodes)
1554048272.836 * * [simplify]: iters left: 3 (413 enodes)
1554048273.016 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048273.016 * * [simplify]: Extracting #1: cost 39 inf + 0
1554048273.016 * * [simplify]: Extracting #2: cost 241 inf + 72
1554048273.018 * * [simplify]: Extracting #3: cost 450 inf + 903
1554048273.021 * * [simplify]: Extracting #4: cost 376 inf + 10375
1554048273.032 * * [simplify]: Extracting #5: cost 158 inf + 67083
1554048273.052 * * [simplify]: Extracting #6: cost 12 inf + 118840
1554048273.091 * * [simplify]: Extracting #7: cost 0 inf + 121984
1554048273.123 * * [simplify]: Extracting #8: cost 0 inf + 121983
1554048273.167 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))
1554048273.167 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (pow k -1/2)))
1554048273.167 * * * * [progress]: [ 113 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048273.168 * [simplify]: Simplifying (* 2 (* n PI))
1554048273.168 * * [simplify]: iters left: 4 (5 enodes)
1554048273.171 * * [simplify]: iters left: 3 (19 enodes)
1554048273.177 * * [simplify]: iters left: 2 (27 enodes)
1554048273.185 * * [simplify]: iters left: 1 (32 enodes)
1554048273.193 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048273.193 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048273.193 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048273.194 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048273.194 * [simplify]: Simplified to (* (* PI n) 2)
1554048273.194 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2)))
1554048273.194 * * * * [progress]: [ 114 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048273.194 * [simplify]: Simplifying (* 2 (* n PI))
1554048273.194 * * [simplify]: iters left: 4 (5 enodes)
1554048273.197 * * [simplify]: iters left: 3 (19 enodes)
1554048273.204 * * [simplify]: iters left: 2 (27 enodes)
1554048273.214 * * [simplify]: iters left: 1 (32 enodes)
1554048273.222 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048273.222 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048273.222 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048273.222 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048273.222 * [simplify]: Simplified to (* (* PI n) 2)
1554048273.222 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2)))
1554048273.222 * * * * [progress]: [ 115 / 118 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow k -1/2)))>
1554048273.222 * [simplify]: Simplifying (* 2 (* n PI))
1554048273.222 * * [simplify]: iters left: 4 (5 enodes)
1554048273.224 * * [simplify]: iters left: 3 (19 enodes)
1554048273.227 * * [simplify]: iters left: 2 (27 enodes)
1554048273.231 * * [simplify]: iters left: 1 (32 enodes)
1554048273.235 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048273.235 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048273.236 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048273.236 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048273.236 * [simplify]: Simplified to (* (* PI n) 2)
1554048273.236 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2)))
1554048273.236 * * * * [progress]: [ 116 / 118 ] 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)))))))))))))))))))))))>
1554048273.236 * [simplify]: Simplifying (- (+ (* +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))))))))))))))))))))))
1554048273.236 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554048273.237 * * * * [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)))))))))>
1554048273.237 * [simplify]: Simplifying (- (+ (* +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))))))))
1554048273.237 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554048273.237 * * * * [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))))))))>
1554048273.237 * [simplify]: Simplifying (- (+ (* +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)))))))
1554048273.237 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1554048273.238 * * * [progress]: adding candidates to table
1554048274.558 * * [progress]: iteration 4 / 4
1554048274.558 * * * [progress]: picking best candidate
1554048274.587 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048274.588 * * * [progress]: localizing error
1554048274.624 * * * [progress]: generating rewritten candidates
1554048274.624 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
1554048274.640 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1554048274.659 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
1554048274.691 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
1554048274.726 * * * [progress]: generating series expansions
1554048274.726 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
1554048274.727 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
1554048274.727 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
1554048274.727 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
1554048274.727 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
1554048274.727 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
1554048274.727 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
1554048274.727 * [taylor]: Taking taylor expansion of 1/4 in k
1554048274.727 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.727 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048274.728 * [taylor]: Taking taylor expansion of 1 in k
1554048274.728 * [backup-simplify]: Simplify 1 into 1
1554048274.728 * [taylor]: Taking taylor expansion of k in k
1554048274.728 * [backup-simplify]: Simplify 0 into 0
1554048274.728 * [backup-simplify]: Simplify 1 into 1
1554048274.728 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554048274.728 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554048274.728 * [taylor]: Taking taylor expansion of 2 in k
1554048274.728 * [backup-simplify]: Simplify 2 into 2
1554048274.728 * [taylor]: Taking taylor expansion of (* n PI) in k
1554048274.728 * [taylor]: Taking taylor expansion of n in k
1554048274.728 * [backup-simplify]: Simplify n into n
1554048274.728 * [taylor]: Taking taylor expansion of PI in k
1554048274.728 * [backup-simplify]: Simplify PI into PI
1554048274.728 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554048274.728 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554048274.728 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554048274.729 * [backup-simplify]: Simplify (- 0) into 0
1554048274.729 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048274.729 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1554048274.730 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
1554048274.730 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
1554048274.730 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
1554048274.730 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048274.730 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048274.730 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
1554048274.730 * [taylor]: Taking taylor expansion of 1/4 in n
1554048274.730 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.730 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048274.730 * [taylor]: Taking taylor expansion of 1 in n
1554048274.730 * [backup-simplify]: Simplify 1 into 1
1554048274.730 * [taylor]: Taking taylor expansion of k in n
1554048274.730 * [backup-simplify]: Simplify k into k
1554048274.730 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048274.730 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048274.730 * [taylor]: Taking taylor expansion of 2 in n
1554048274.730 * [backup-simplify]: Simplify 2 into 2
1554048274.730 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048274.730 * [taylor]: Taking taylor expansion of n in n
1554048274.730 * [backup-simplify]: Simplify 0 into 0
1554048274.730 * [backup-simplify]: Simplify 1 into 1
1554048274.730 * [taylor]: Taking taylor expansion of PI in n
1554048274.730 * [backup-simplify]: Simplify PI into PI
1554048274.731 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048274.731 * [backup-simplify]: Simplify (* 2 0) into 0
1554048274.733 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048274.734 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048274.735 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048274.735 * [backup-simplify]: Simplify (- k) into (- k)
1554048274.735 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048274.735 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
1554048274.737 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048274.738 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048274.739 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048274.739 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
1554048274.739 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048274.739 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048274.739 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
1554048274.739 * [taylor]: Taking taylor expansion of 1/4 in n
1554048274.739 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.739 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048274.739 * [taylor]: Taking taylor expansion of 1 in n
1554048274.739 * [backup-simplify]: Simplify 1 into 1
1554048274.739 * [taylor]: Taking taylor expansion of k in n
1554048274.739 * [backup-simplify]: Simplify k into k
1554048274.739 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048274.739 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048274.739 * [taylor]: Taking taylor expansion of 2 in n
1554048274.739 * [backup-simplify]: Simplify 2 into 2
1554048274.739 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048274.739 * [taylor]: Taking taylor expansion of n in n
1554048274.739 * [backup-simplify]: Simplify 0 into 0
1554048274.739 * [backup-simplify]: Simplify 1 into 1
1554048274.740 * [taylor]: Taking taylor expansion of PI in n
1554048274.740 * [backup-simplify]: Simplify PI into PI
1554048274.740 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048274.740 * [backup-simplify]: Simplify (* 2 0) into 0
1554048274.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048274.744 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048274.745 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048274.745 * [backup-simplify]: Simplify (- k) into (- k)
1554048274.745 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048274.745 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
1554048274.746 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048274.747 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048274.749 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048274.749 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554048274.749 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554048274.749 * [taylor]: Taking taylor expansion of 1/4 in k
1554048274.749 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.749 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554048274.749 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048274.749 * [taylor]: Taking taylor expansion of 1 in k
1554048274.749 * [backup-simplify]: Simplify 1 into 1
1554048274.749 * [taylor]: Taking taylor expansion of k in k
1554048274.749 * [backup-simplify]: Simplify 0 into 0
1554048274.749 * [backup-simplify]: Simplify 1 into 1
1554048274.749 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554048274.749 * [taylor]: Taking taylor expansion of (log n) in k
1554048274.749 * [taylor]: Taking taylor expansion of n in k
1554048274.749 * [backup-simplify]: Simplify n into n
1554048274.749 * [backup-simplify]: Simplify (log n) into (log n)
1554048274.749 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048274.749 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048274.749 * [taylor]: Taking taylor expansion of 2 in k
1554048274.749 * [backup-simplify]: Simplify 2 into 2
1554048274.749 * [taylor]: Taking taylor expansion of PI in k
1554048274.749 * [backup-simplify]: Simplify PI into PI
1554048274.750 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048274.751 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048274.751 * [backup-simplify]: Simplify (- 0) into 0
1554048274.752 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048274.753 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048274.754 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554048274.755 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
1554048274.756 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
1554048274.757 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
1554048274.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554048274.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554048274.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048274.761 * [backup-simplify]: Simplify (- 0) into 0
1554048274.762 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.762 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
1554048274.764 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048274.765 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554048274.767 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048274.767 * [taylor]: Taking taylor expansion of 0 in k
1554048274.767 * [backup-simplify]: Simplify 0 into 0
1554048274.767 * [backup-simplify]: Simplify 0 into 0
1554048274.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554048274.769 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048274.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048274.770 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.770 * [backup-simplify]: Simplify (- 1) into -1
1554048274.770 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048274.771 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554048274.773 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
1554048274.774 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
1554048274.776 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
1554048274.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048274.778 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554048274.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1554048274.780 * [backup-simplify]: Simplify (- 0) into 0
1554048274.780 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.780 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554048274.781 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048274.782 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048274.784 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048274.784 * [taylor]: Taking taylor expansion of 0 in k
1554048274.784 * [backup-simplify]: Simplify 0 into 0
1554048274.784 * [backup-simplify]: Simplify 0 into 0
1554048274.784 * [backup-simplify]: Simplify 0 into 0
1554048274.785 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554048274.785 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048274.787 * [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
1554048274.787 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.787 * [backup-simplify]: Simplify (- 0) into 0
1554048274.788 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048274.792 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048274.800 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
1554048274.805 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
1554048274.814 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
1554048274.815 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
1554048274.815 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
1554048274.815 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
1554048274.815 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554048274.815 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554048274.815 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
1554048274.815 * [taylor]: Taking taylor expansion of 1/4 in k
1554048274.815 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.815 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048274.815 * [taylor]: Taking taylor expansion of 1 in k
1554048274.815 * [backup-simplify]: Simplify 1 into 1
1554048274.815 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048274.815 * [taylor]: Taking taylor expansion of k in k
1554048274.815 * [backup-simplify]: Simplify 0 into 0
1554048274.816 * [backup-simplify]: Simplify 1 into 1
1554048274.816 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048274.816 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554048274.816 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554048274.816 * [taylor]: Taking taylor expansion of 2 in k
1554048274.816 * [backup-simplify]: Simplify 2 into 2
1554048274.816 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048274.816 * [taylor]: Taking taylor expansion of PI in k
1554048274.816 * [backup-simplify]: Simplify PI into PI
1554048274.816 * [taylor]: Taking taylor expansion of n in k
1554048274.816 * [backup-simplify]: Simplify n into n
1554048274.816 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048274.816 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554048274.816 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554048274.817 * [backup-simplify]: Simplify (- 1) into -1
1554048274.817 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048274.818 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
1554048274.818 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
1554048274.818 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554048274.818 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
1554048274.818 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048274.818 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048274.818 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
1554048274.818 * [taylor]: Taking taylor expansion of 1/4 in n
1554048274.818 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.818 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048274.818 * [taylor]: Taking taylor expansion of 1 in n
1554048274.818 * [backup-simplify]: Simplify 1 into 1
1554048274.818 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048274.818 * [taylor]: Taking taylor expansion of k in n
1554048274.818 * [backup-simplify]: Simplify k into k
1554048274.819 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048274.819 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048274.819 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048274.819 * [taylor]: Taking taylor expansion of 2 in n
1554048274.819 * [backup-simplify]: Simplify 2 into 2
1554048274.819 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048274.819 * [taylor]: Taking taylor expansion of PI in n
1554048274.819 * [backup-simplify]: Simplify PI into PI
1554048274.819 * [taylor]: Taking taylor expansion of n in n
1554048274.819 * [backup-simplify]: Simplify 0 into 0
1554048274.819 * [backup-simplify]: Simplify 1 into 1
1554048274.819 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048274.820 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048274.821 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048274.821 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048274.821 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048274.821 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
1554048274.823 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048274.824 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048274.825 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554048274.825 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
1554048274.825 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048274.825 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048274.825 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
1554048274.825 * [taylor]: Taking taylor expansion of 1/4 in n
1554048274.825 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.825 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048274.825 * [taylor]: Taking taylor expansion of 1 in n
1554048274.825 * [backup-simplify]: Simplify 1 into 1
1554048274.825 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048274.825 * [taylor]: Taking taylor expansion of k in n
1554048274.825 * [backup-simplify]: Simplify k into k
1554048274.825 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048274.826 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048274.826 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048274.826 * [taylor]: Taking taylor expansion of 2 in n
1554048274.826 * [backup-simplify]: Simplify 2 into 2
1554048274.826 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048274.826 * [taylor]: Taking taylor expansion of PI in n
1554048274.826 * [backup-simplify]: Simplify PI into PI
1554048274.826 * [taylor]: Taking taylor expansion of n in n
1554048274.826 * [backup-simplify]: Simplify 0 into 0
1554048274.826 * [backup-simplify]: Simplify 1 into 1
1554048274.826 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048274.827 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048274.828 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048274.828 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048274.828 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048274.828 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
1554048274.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048274.830 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048274.831 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554048274.832 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554048274.832 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554048274.832 * [taylor]: Taking taylor expansion of 1/4 in k
1554048274.832 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.832 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554048274.832 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048274.832 * [taylor]: Taking taylor expansion of 1 in k
1554048274.832 * [backup-simplify]: Simplify 1 into 1
1554048274.832 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048274.832 * [taylor]: Taking taylor expansion of k in k
1554048274.832 * [backup-simplify]: Simplify 0 into 0
1554048274.832 * [backup-simplify]: Simplify 1 into 1
1554048274.832 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048274.832 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554048274.832 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048274.832 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048274.832 * [taylor]: Taking taylor expansion of 2 in k
1554048274.832 * [backup-simplify]: Simplify 2 into 2
1554048274.832 * [taylor]: Taking taylor expansion of PI in k
1554048274.832 * [backup-simplify]: Simplify PI into PI
1554048274.833 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048274.834 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048274.834 * [taylor]: Taking taylor expansion of (log n) in k
1554048274.834 * [taylor]: Taking taylor expansion of n in k
1554048274.834 * [backup-simplify]: Simplify n into n
1554048274.834 * [backup-simplify]: Simplify (log n) into (log n)
1554048274.834 * [backup-simplify]: Simplify (- 1) into -1
1554048274.835 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048274.835 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048274.836 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554048274.837 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554048274.838 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
1554048274.839 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554048274.840 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554048274.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048274.842 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048274.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048274.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048274.844 * [backup-simplify]: Simplify (- 0) into 0
1554048274.845 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.845 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
1554048274.847 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048274.848 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554048274.850 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048274.850 * [taylor]: Taking taylor expansion of 0 in k
1554048274.850 * [backup-simplify]: Simplify 0 into 0
1554048274.850 * [backup-simplify]: Simplify 0 into 0
1554048274.850 * [backup-simplify]: Simplify 0 into 0
1554048274.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048274.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048274.855 * [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
1554048274.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048274.856 * [backup-simplify]: Simplify (- 0) into 0
1554048274.856 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.857 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554048274.858 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048274.860 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554048274.862 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048274.862 * [taylor]: Taking taylor expansion of 0 in k
1554048274.862 * [backup-simplify]: Simplify 0 into 0
1554048274.862 * [backup-simplify]: Simplify 0 into 0
1554048274.862 * [backup-simplify]: Simplify 0 into 0
1554048274.862 * [backup-simplify]: Simplify 0 into 0
1554048274.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048274.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048274.869 * [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
1554048274.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048274.870 * [backup-simplify]: Simplify (- 0) into 0
1554048274.870 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.871 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554048274.872 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048274.873 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554048274.874 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 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
1554048274.875 * [taylor]: Taking taylor expansion of 0 in k
1554048274.875 * [backup-simplify]: Simplify 0 into 0
1554048274.875 * [backup-simplify]: Simplify 0 into 0
1554048274.875 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554048274.876 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
1554048274.876 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
1554048274.876 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
1554048274.876 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554048274.876 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554048274.876 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
1554048274.876 * [taylor]: Taking taylor expansion of 1/4 in k
1554048274.876 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.876 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048274.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048274.876 * [taylor]: Taking taylor expansion of k in k
1554048274.876 * [backup-simplify]: Simplify 0 into 0
1554048274.876 * [backup-simplify]: Simplify 1 into 1
1554048274.876 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048274.876 * [taylor]: Taking taylor expansion of 1 in k
1554048274.876 * [backup-simplify]: Simplify 1 into 1
1554048274.876 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554048274.876 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554048274.876 * [taylor]: Taking taylor expansion of -2 in k
1554048274.876 * [backup-simplify]: Simplify -2 into -2
1554048274.876 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048274.876 * [taylor]: Taking taylor expansion of PI in k
1554048274.876 * [backup-simplify]: Simplify PI into PI
1554048274.876 * [taylor]: Taking taylor expansion of n in k
1554048274.876 * [backup-simplify]: Simplify n into n
1554048274.876 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048274.876 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554048274.876 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554048274.877 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048274.877 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1554048274.877 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
1554048274.877 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554048274.877 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
1554048274.877 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048274.877 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048274.877 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
1554048274.877 * [taylor]: Taking taylor expansion of 1/4 in n
1554048274.877 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.877 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048274.877 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048274.877 * [taylor]: Taking taylor expansion of k in n
1554048274.877 * [backup-simplify]: Simplify k into k
1554048274.877 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048274.877 * [taylor]: Taking taylor expansion of 1 in n
1554048274.877 * [backup-simplify]: Simplify 1 into 1
1554048274.877 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048274.878 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048274.878 * [taylor]: Taking taylor expansion of -2 in n
1554048274.878 * [backup-simplify]: Simplify -2 into -2
1554048274.878 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048274.878 * [taylor]: Taking taylor expansion of PI in n
1554048274.878 * [backup-simplify]: Simplify PI into PI
1554048274.878 * [taylor]: Taking taylor expansion of n in n
1554048274.878 * [backup-simplify]: Simplify 0 into 0
1554048274.878 * [backup-simplify]: Simplify 1 into 1
1554048274.878 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048274.878 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048274.879 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048274.879 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048274.879 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
1554048274.880 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048274.880 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048274.881 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554048274.881 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
1554048274.881 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048274.881 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048274.881 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
1554048274.881 * [taylor]: Taking taylor expansion of 1/4 in n
1554048274.881 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.881 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048274.881 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048274.881 * [taylor]: Taking taylor expansion of k in n
1554048274.881 * [backup-simplify]: Simplify k into k
1554048274.881 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048274.881 * [taylor]: Taking taylor expansion of 1 in n
1554048274.881 * [backup-simplify]: Simplify 1 into 1
1554048274.881 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048274.881 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048274.881 * [taylor]: Taking taylor expansion of -2 in n
1554048274.881 * [backup-simplify]: Simplify -2 into -2
1554048274.881 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048274.881 * [taylor]: Taking taylor expansion of PI in n
1554048274.881 * [backup-simplify]: Simplify PI into PI
1554048274.881 * [taylor]: Taking taylor expansion of n in n
1554048274.881 * [backup-simplify]: Simplify 0 into 0
1554048274.881 * [backup-simplify]: Simplify 1 into 1
1554048274.882 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048274.882 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048274.883 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048274.883 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048274.883 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
1554048274.884 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048274.884 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048274.885 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554048274.885 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554048274.885 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554048274.885 * [taylor]: Taking taylor expansion of 1/4 in k
1554048274.885 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.885 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554048274.885 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048274.885 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048274.885 * [taylor]: Taking taylor expansion of k in k
1554048274.885 * [backup-simplify]: Simplify 0 into 0
1554048274.885 * [backup-simplify]: Simplify 1 into 1
1554048274.885 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048274.885 * [taylor]: Taking taylor expansion of 1 in k
1554048274.885 * [backup-simplify]: Simplify 1 into 1
1554048274.886 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554048274.886 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554048274.886 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554048274.886 * [taylor]: Taking taylor expansion of -2 in k
1554048274.886 * [backup-simplify]: Simplify -2 into -2
1554048274.886 * [taylor]: Taking taylor expansion of PI in k
1554048274.886 * [backup-simplify]: Simplify PI into PI
1554048274.886 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048274.886 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048274.886 * [taylor]: Taking taylor expansion of (log n) in k
1554048274.887 * [taylor]: Taking taylor expansion of n in k
1554048274.887 * [backup-simplify]: Simplify n into n
1554048274.887 * [backup-simplify]: Simplify (log n) into (log n)
1554048274.887 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048274.887 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048274.887 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554048274.888 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554048274.889 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
1554048274.889 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554048274.890 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554048274.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048274.891 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554048274.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554048274.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048274.892 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.893 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
1554048274.894 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048274.894 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554048274.896 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048274.896 * [taylor]: Taking taylor expansion of 0 in k
1554048274.896 * [backup-simplify]: Simplify 0 into 0
1554048274.896 * [backup-simplify]: Simplify 0 into 0
1554048274.896 * [backup-simplify]: Simplify 0 into 0
1554048274.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048274.897 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048274.899 * [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
1554048274.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048274.899 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.900 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554048274.901 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048274.902 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554048274.903 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048274.903 * [taylor]: Taking taylor expansion of 0 in k
1554048274.903 * [backup-simplify]: Simplify 0 into 0
1554048274.903 * [backup-simplify]: Simplify 0 into 0
1554048274.903 * [backup-simplify]: Simplify 0 into 0
1554048274.903 * [backup-simplify]: Simplify 0 into 0
1554048274.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048274.904 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048274.907 * [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
1554048274.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048274.908 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.908 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1554048274.910 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048274.914 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1554048274.917 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 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
1554048274.917 * [taylor]: Taking taylor expansion of 0 in k
1554048274.917 * [backup-simplify]: Simplify 0 into 0
1554048274.917 * [backup-simplify]: Simplify 0 into 0
1554048274.918 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554048274.919 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
1554048274.919 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
1554048274.919 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
1554048274.919 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
1554048274.919 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
1554048274.919 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
1554048274.919 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
1554048274.919 * [taylor]: Taking taylor expansion of 1/4 in k
1554048274.919 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.919 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048274.919 * [taylor]: Taking taylor expansion of 1 in k
1554048274.919 * [backup-simplify]: Simplify 1 into 1
1554048274.920 * [taylor]: Taking taylor expansion of k in k
1554048274.920 * [backup-simplify]: Simplify 0 into 0
1554048274.920 * [backup-simplify]: Simplify 1 into 1
1554048274.920 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1554048274.920 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1554048274.920 * [taylor]: Taking taylor expansion of 2 in k
1554048274.920 * [backup-simplify]: Simplify 2 into 2
1554048274.920 * [taylor]: Taking taylor expansion of (* n PI) in k
1554048274.920 * [taylor]: Taking taylor expansion of n in k
1554048274.920 * [backup-simplify]: Simplify n into n
1554048274.920 * [taylor]: Taking taylor expansion of PI in k
1554048274.920 * [backup-simplify]: Simplify PI into PI
1554048274.920 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1554048274.920 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1554048274.920 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1554048274.920 * [backup-simplify]: Simplify (- 0) into 0
1554048274.921 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048274.921 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1554048274.921 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
1554048274.921 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
1554048274.921 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
1554048274.922 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048274.922 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048274.922 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
1554048274.922 * [taylor]: Taking taylor expansion of 1/4 in n
1554048274.922 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.922 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048274.922 * [taylor]: Taking taylor expansion of 1 in n
1554048274.922 * [backup-simplify]: Simplify 1 into 1
1554048274.922 * [taylor]: Taking taylor expansion of k in n
1554048274.922 * [backup-simplify]: Simplify k into k
1554048274.922 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048274.922 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048274.922 * [taylor]: Taking taylor expansion of 2 in n
1554048274.922 * [backup-simplify]: Simplify 2 into 2
1554048274.922 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048274.922 * [taylor]: Taking taylor expansion of n in n
1554048274.922 * [backup-simplify]: Simplify 0 into 0
1554048274.922 * [backup-simplify]: Simplify 1 into 1
1554048274.922 * [taylor]: Taking taylor expansion of PI in n
1554048274.922 * [backup-simplify]: Simplify PI into PI
1554048274.922 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048274.923 * [backup-simplify]: Simplify (* 2 0) into 0
1554048274.924 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048274.926 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048274.927 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048274.927 * [backup-simplify]: Simplify (- k) into (- k)
1554048274.927 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048274.927 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
1554048274.928 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048274.929 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048274.930 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048274.930 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
1554048274.930 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
1554048274.930 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
1554048274.930 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
1554048274.930 * [taylor]: Taking taylor expansion of 1/4 in n
1554048274.930 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.930 * [taylor]: Taking taylor expansion of (- 1 k) in n
1554048274.930 * [taylor]: Taking taylor expansion of 1 in n
1554048274.930 * [backup-simplify]: Simplify 1 into 1
1554048274.930 * [taylor]: Taking taylor expansion of k in n
1554048274.930 * [backup-simplify]: Simplify k into k
1554048274.930 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1554048274.930 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048274.930 * [taylor]: Taking taylor expansion of 2 in n
1554048274.930 * [backup-simplify]: Simplify 2 into 2
1554048274.930 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048274.930 * [taylor]: Taking taylor expansion of n in n
1554048274.930 * [backup-simplify]: Simplify 0 into 0
1554048274.930 * [backup-simplify]: Simplify 1 into 1
1554048274.930 * [taylor]: Taking taylor expansion of PI in n
1554048274.930 * [backup-simplify]: Simplify PI into PI
1554048274.930 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048274.931 * [backup-simplify]: Simplify (* 2 0) into 0
1554048274.931 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048274.933 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048274.933 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048274.933 * [backup-simplify]: Simplify (- k) into (- k)
1554048274.933 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1554048274.933 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
1554048274.934 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048274.935 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1554048274.935 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1554048274.935 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1554048274.935 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1554048274.935 * [taylor]: Taking taylor expansion of 1/4 in k
1554048274.936 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.936 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1554048274.936 * [taylor]: Taking taylor expansion of (- 1 k) in k
1554048274.936 * [taylor]: Taking taylor expansion of 1 in k
1554048274.936 * [backup-simplify]: Simplify 1 into 1
1554048274.936 * [taylor]: Taking taylor expansion of k in k
1554048274.936 * [backup-simplify]: Simplify 0 into 0
1554048274.936 * [backup-simplify]: Simplify 1 into 1
1554048274.936 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1554048274.936 * [taylor]: Taking taylor expansion of (log n) in k
1554048274.936 * [taylor]: Taking taylor expansion of n in k
1554048274.936 * [backup-simplify]: Simplify n into n
1554048274.936 * [backup-simplify]: Simplify (log n) into (log n)
1554048274.936 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048274.936 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048274.936 * [taylor]: Taking taylor expansion of 2 in k
1554048274.936 * [backup-simplify]: Simplify 2 into 2
1554048274.936 * [taylor]: Taking taylor expansion of PI in k
1554048274.936 * [backup-simplify]: Simplify PI into PI
1554048274.936 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048274.937 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048274.937 * [backup-simplify]: Simplify (- 0) into 0
1554048274.937 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048274.938 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048274.938 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1554048274.939 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
1554048274.940 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
1554048274.940 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
1554048274.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554048274.941 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554048274.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048274.943 * [backup-simplify]: Simplify (- 0) into 0
1554048274.943 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.943 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
1554048274.944 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048274.945 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1554048274.946 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048274.946 * [taylor]: Taking taylor expansion of 0 in k
1554048274.946 * [backup-simplify]: Simplify 0 into 0
1554048274.946 * [backup-simplify]: Simplify 0 into 0
1554048274.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1554048274.947 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048274.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048274.948 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.948 * [backup-simplify]: Simplify (- 1) into -1
1554048274.948 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048274.949 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1554048274.950 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
1554048274.952 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
1554048274.954 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
1554048274.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048274.955 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554048274.957 * [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
1554048274.957 * [backup-simplify]: Simplify (- 0) into 0
1554048274.957 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.958 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1554048274.959 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1554048274.959 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048274.961 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048274.961 * [taylor]: Taking taylor expansion of 0 in k
1554048274.961 * [backup-simplify]: Simplify 0 into 0
1554048274.961 * [backup-simplify]: Simplify 0 into 0
1554048274.961 * [backup-simplify]: Simplify 0 into 0
1554048274.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1554048274.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048274.964 * [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
1554048274.965 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.965 * [backup-simplify]: Simplify (- 0) into 0
1554048274.965 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048274.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048274.968 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1554048274.970 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
1554048274.972 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
1554048274.979 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
1554048274.980 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
1554048274.980 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
1554048274.980 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
1554048274.980 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1554048274.980 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1554048274.980 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
1554048274.980 * [taylor]: Taking taylor expansion of 1/4 in k
1554048274.980 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.980 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048274.980 * [taylor]: Taking taylor expansion of 1 in k
1554048274.980 * [backup-simplify]: Simplify 1 into 1
1554048274.980 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048274.980 * [taylor]: Taking taylor expansion of k in k
1554048274.980 * [backup-simplify]: Simplify 0 into 0
1554048274.980 * [backup-simplify]: Simplify 1 into 1
1554048274.981 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048274.981 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1554048274.981 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1554048274.981 * [taylor]: Taking taylor expansion of 2 in k
1554048274.981 * [backup-simplify]: Simplify 2 into 2
1554048274.981 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048274.981 * [taylor]: Taking taylor expansion of PI in k
1554048274.981 * [backup-simplify]: Simplify PI into PI
1554048274.981 * [taylor]: Taking taylor expansion of n in k
1554048274.981 * [backup-simplify]: Simplify n into n
1554048274.981 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048274.981 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1554048274.981 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1554048274.981 * [backup-simplify]: Simplify (- 1) into -1
1554048274.982 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048274.982 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
1554048274.983 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
1554048274.983 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1554048274.983 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
1554048274.983 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048274.983 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048274.983 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
1554048274.983 * [taylor]: Taking taylor expansion of 1/4 in n
1554048274.983 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.983 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048274.983 * [taylor]: Taking taylor expansion of 1 in n
1554048274.983 * [backup-simplify]: Simplify 1 into 1
1554048274.983 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048274.983 * [taylor]: Taking taylor expansion of k in n
1554048274.983 * [backup-simplify]: Simplify k into k
1554048274.983 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048274.983 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048274.983 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048274.983 * [taylor]: Taking taylor expansion of 2 in n
1554048274.983 * [backup-simplify]: Simplify 2 into 2
1554048274.984 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048274.984 * [taylor]: Taking taylor expansion of PI in n
1554048274.984 * [backup-simplify]: Simplify PI into PI
1554048274.984 * [taylor]: Taking taylor expansion of n in n
1554048274.984 * [backup-simplify]: Simplify 0 into 0
1554048274.984 * [backup-simplify]: Simplify 1 into 1
1554048274.984 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048274.985 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048274.986 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048274.986 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048274.986 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048274.986 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
1554048274.987 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048274.988 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048274.989 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554048274.989 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
1554048274.989 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1554048274.989 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1554048274.989 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
1554048274.990 * [taylor]: Taking taylor expansion of 1/4 in n
1554048274.990 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.990 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1554048274.990 * [taylor]: Taking taylor expansion of 1 in n
1554048274.990 * [backup-simplify]: Simplify 1 into 1
1554048274.990 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048274.990 * [taylor]: Taking taylor expansion of k in n
1554048274.990 * [backup-simplify]: Simplify k into k
1554048274.990 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048274.990 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1554048274.990 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048274.990 * [taylor]: Taking taylor expansion of 2 in n
1554048274.990 * [backup-simplify]: Simplify 2 into 2
1554048274.990 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048274.990 * [taylor]: Taking taylor expansion of PI in n
1554048274.990 * [backup-simplify]: Simplify PI into PI
1554048274.990 * [taylor]: Taking taylor expansion of n in n
1554048274.990 * [backup-simplify]: Simplify 0 into 0
1554048274.990 * [backup-simplify]: Simplify 1 into 1
1554048274.990 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048274.991 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048274.992 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048274.992 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1554048274.992 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1554048274.992 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
1554048274.993 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048274.995 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1554048274.996 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554048274.996 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1554048274.996 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1554048274.996 * [taylor]: Taking taylor expansion of 1/4 in k
1554048274.996 * [backup-simplify]: Simplify 1/4 into 1/4
1554048274.996 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1554048274.996 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1554048274.996 * [taylor]: Taking taylor expansion of 1 in k
1554048274.996 * [backup-simplify]: Simplify 1 into 1
1554048274.996 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048274.996 * [taylor]: Taking taylor expansion of k in k
1554048274.996 * [backup-simplify]: Simplify 0 into 0
1554048274.996 * [backup-simplify]: Simplify 1 into 1
1554048274.997 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048274.997 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1554048274.997 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1554048274.997 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1554048274.997 * [taylor]: Taking taylor expansion of 2 in k
1554048274.997 * [backup-simplify]: Simplify 2 into 2
1554048274.997 * [taylor]: Taking taylor expansion of PI in k
1554048274.997 * [backup-simplify]: Simplify PI into PI
1554048274.997 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048274.998 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1554048274.998 * [taylor]: Taking taylor expansion of (log n) in k
1554048274.998 * [taylor]: Taking taylor expansion of n in k
1554048274.998 * [backup-simplify]: Simplify n into n
1554048274.998 * [backup-simplify]: Simplify (log n) into (log n)
1554048274.999 * [backup-simplify]: Simplify (- 1) into -1
1554048274.999 * [backup-simplify]: Simplify (+ 0 -1) into -1
1554048274.999 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048275.001 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1554048275.002 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1554048275.003 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
1554048275.004 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554048275.005 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1554048275.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048275.006 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048275.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1554048275.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048275.009 * [backup-simplify]: Simplify (- 0) into 0
1554048275.009 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048275.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
1554048275.011 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048275.012 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1554048275.014 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048275.014 * [taylor]: Taking taylor expansion of 0 in k
1554048275.014 * [backup-simplify]: Simplify 0 into 0
1554048275.014 * [backup-simplify]: Simplify 0 into 0
1554048275.014 * [backup-simplify]: Simplify 0 into 0
1554048275.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048275.022 * [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
1554048275.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048275.023 * [backup-simplify]: Simplify (- 0) into 0
1554048275.023 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048275.024 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1554048275.025 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048275.027 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1554048275.029 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048275.029 * [taylor]: Taking taylor expansion of 0 in k
1554048275.029 * [backup-simplify]: Simplify 0 into 0
1554048275.029 * [backup-simplify]: Simplify 0 into 0
1554048275.029 * [backup-simplify]: Simplify 0 into 0
1554048275.029 * [backup-simplify]: Simplify 0 into 0
1554048275.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.031 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048275.037 * [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
1554048275.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048275.038 * [backup-simplify]: Simplify (- 0) into 0
1554048275.038 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048275.039 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1554048275.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1554048275.041 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1554048275.042 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 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
1554048275.042 * [taylor]: Taking taylor expansion of 0 in k
1554048275.042 * [backup-simplify]: Simplify 0 into 0
1554048275.042 * [backup-simplify]: Simplify 0 into 0
1554048275.043 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554048275.043 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
1554048275.043 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
1554048275.043 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
1554048275.043 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1554048275.043 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1554048275.043 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
1554048275.043 * [taylor]: Taking taylor expansion of 1/4 in k
1554048275.043 * [backup-simplify]: Simplify 1/4 into 1/4
1554048275.043 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048275.043 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048275.043 * [taylor]: Taking taylor expansion of k in k
1554048275.044 * [backup-simplify]: Simplify 0 into 0
1554048275.044 * [backup-simplify]: Simplify 1 into 1
1554048275.044 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048275.044 * [taylor]: Taking taylor expansion of 1 in k
1554048275.044 * [backup-simplify]: Simplify 1 into 1
1554048275.044 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1554048275.044 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1554048275.044 * [taylor]: Taking taylor expansion of -2 in k
1554048275.044 * [backup-simplify]: Simplify -2 into -2
1554048275.044 * [taylor]: Taking taylor expansion of (/ PI n) in k
1554048275.044 * [taylor]: Taking taylor expansion of PI in k
1554048275.044 * [backup-simplify]: Simplify PI into PI
1554048275.044 * [taylor]: Taking taylor expansion of n in k
1554048275.044 * [backup-simplify]: Simplify n into n
1554048275.044 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1554048275.044 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1554048275.044 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1554048275.044 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048275.045 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1554048275.045 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
1554048275.045 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1554048275.045 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
1554048275.045 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048275.045 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048275.045 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
1554048275.045 * [taylor]: Taking taylor expansion of 1/4 in n
1554048275.045 * [backup-simplify]: Simplify 1/4 into 1/4
1554048275.045 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048275.045 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048275.045 * [taylor]: Taking taylor expansion of k in n
1554048275.045 * [backup-simplify]: Simplify k into k
1554048275.045 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048275.045 * [taylor]: Taking taylor expansion of 1 in n
1554048275.045 * [backup-simplify]: Simplify 1 into 1
1554048275.045 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048275.045 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048275.045 * [taylor]: Taking taylor expansion of -2 in n
1554048275.045 * [backup-simplify]: Simplify -2 into -2
1554048275.045 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048275.045 * [taylor]: Taking taylor expansion of PI in n
1554048275.045 * [backup-simplify]: Simplify PI into PI
1554048275.045 * [taylor]: Taking taylor expansion of n in n
1554048275.045 * [backup-simplify]: Simplify 0 into 0
1554048275.045 * [backup-simplify]: Simplify 1 into 1
1554048275.046 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048275.046 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048275.046 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048275.046 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048275.046 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
1554048275.047 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048275.048 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048275.049 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554048275.049 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
1554048275.049 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1554048275.049 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1554048275.049 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
1554048275.049 * [taylor]: Taking taylor expansion of 1/4 in n
1554048275.049 * [backup-simplify]: Simplify 1/4 into 1/4
1554048275.049 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1554048275.049 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1554048275.049 * [taylor]: Taking taylor expansion of k in n
1554048275.049 * [backup-simplify]: Simplify k into k
1554048275.049 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1554048275.049 * [taylor]: Taking taylor expansion of 1 in n
1554048275.049 * [backup-simplify]: Simplify 1 into 1
1554048275.049 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1554048275.049 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048275.049 * [taylor]: Taking taylor expansion of -2 in n
1554048275.049 * [backup-simplify]: Simplify -2 into -2
1554048275.049 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048275.049 * [taylor]: Taking taylor expansion of PI in n
1554048275.049 * [backup-simplify]: Simplify PI into PI
1554048275.049 * [taylor]: Taking taylor expansion of n in n
1554048275.049 * [backup-simplify]: Simplify 0 into 0
1554048275.049 * [backup-simplify]: Simplify 1 into 1
1554048275.049 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048275.050 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048275.050 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048275.050 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1554048275.050 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
1554048275.051 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048275.052 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1554048275.052 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554048275.053 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1554048275.053 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1554048275.053 * [taylor]: Taking taylor expansion of 1/4 in k
1554048275.053 * [backup-simplify]: Simplify 1/4 into 1/4
1554048275.053 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1554048275.053 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1554048275.053 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1554048275.053 * [taylor]: Taking taylor expansion of k in k
1554048275.053 * [backup-simplify]: Simplify 0 into 0
1554048275.053 * [backup-simplify]: Simplify 1 into 1
1554048275.053 * [backup-simplify]: Simplify (/ 1 1) into 1
1554048275.053 * [taylor]: Taking taylor expansion of 1 in k
1554048275.053 * [backup-simplify]: Simplify 1 into 1
1554048275.053 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1554048275.053 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1554048275.053 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1554048275.053 * [taylor]: Taking taylor expansion of -2 in k
1554048275.053 * [backup-simplify]: Simplify -2 into -2
1554048275.053 * [taylor]: Taking taylor expansion of PI in k
1554048275.053 * [backup-simplify]: Simplify PI into PI
1554048275.053 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048275.054 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1554048275.054 * [taylor]: Taking taylor expansion of (log n) in k
1554048275.054 * [taylor]: Taking taylor expansion of n in k
1554048275.054 * [backup-simplify]: Simplify n into n
1554048275.054 * [backup-simplify]: Simplify (log n) into (log n)
1554048275.054 * [backup-simplify]: Simplify (+ 1 0) into 1
1554048275.054 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1554048275.055 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1554048275.056 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1554048275.056 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
1554048275.057 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554048275.057 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1554048275.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048275.058 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554048275.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1554048275.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1554048275.060 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048275.060 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
1554048275.061 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048275.062 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1554048275.063 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1554048275.063 * [taylor]: Taking taylor expansion of 0 in k
1554048275.063 * [backup-simplify]: Simplify 0 into 0
1554048275.063 * [backup-simplify]: Simplify 0 into 0
1554048275.063 * [backup-simplify]: Simplify 0 into 0
1554048275.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.064 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048275.067 * [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
1554048275.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048275.067 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048275.068 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1554048275.069 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048275.070 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1554048275.071 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1554048275.071 * [taylor]: Taking taylor expansion of 0 in k
1554048275.071 * [backup-simplify]: Simplify 0 into 0
1554048275.071 * [backup-simplify]: Simplify 0 into 0
1554048275.071 * [backup-simplify]: Simplify 0 into 0
1554048275.071 * [backup-simplify]: Simplify 0 into 0
1554048275.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.072 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048275.078 * [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
1554048275.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1554048275.079 * [backup-simplify]: Simplify (+ 0 0) into 0
1554048275.080 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1554048275.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1554048275.083 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1554048275.086 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 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
1554048275.086 * [taylor]: Taking taylor expansion of 0 in k
1554048275.086 * [backup-simplify]: Simplify 0 into 0
1554048275.086 * [backup-simplify]: Simplify 0 into 0
1554048275.087 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554048275.087 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
1554048275.087 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
1554048275.087 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1554048275.087 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048275.087 * [taylor]: Taking taylor expansion of 2 in n
1554048275.088 * [backup-simplify]: Simplify 2 into 2
1554048275.088 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048275.088 * [taylor]: Taking taylor expansion of n in n
1554048275.088 * [backup-simplify]: Simplify 0 into 0
1554048275.088 * [backup-simplify]: Simplify 1 into 1
1554048275.088 * [taylor]: Taking taylor expansion of PI in n
1554048275.088 * [backup-simplify]: Simplify PI into PI
1554048275.088 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048275.088 * [taylor]: Taking taylor expansion of 2 in n
1554048275.088 * [backup-simplify]: Simplify 2 into 2
1554048275.088 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048275.088 * [taylor]: Taking taylor expansion of n in n
1554048275.088 * [backup-simplify]: Simplify 0 into 0
1554048275.088 * [backup-simplify]: Simplify 1 into 1
1554048275.088 * [taylor]: Taking taylor expansion of PI in n
1554048275.088 * [backup-simplify]: Simplify PI into PI
1554048275.088 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048275.089 * [backup-simplify]: Simplify (* 2 0) into 0
1554048275.089 * [backup-simplify]: Simplify 0 into 0
1554048275.090 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048275.092 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048275.092 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048275.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554048275.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554048275.095 * [backup-simplify]: Simplify 0 into 0
1554048275.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048275.097 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554048275.097 * [backup-simplify]: Simplify 0 into 0
1554048275.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048275.100 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554048275.100 * [backup-simplify]: Simplify 0 into 0
1554048275.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048275.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1554048275.103 * [backup-simplify]: Simplify 0 into 0
1554048275.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048275.106 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1554048275.106 * [backup-simplify]: Simplify 0 into 0
1554048275.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1554048275.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1554048275.110 * [backup-simplify]: Simplify 0 into 0
1554048275.110 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1554048275.111 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
1554048275.111 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1554048275.111 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048275.111 * [taylor]: Taking taylor expansion of 2 in n
1554048275.111 * [backup-simplify]: Simplify 2 into 2
1554048275.111 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048275.111 * [taylor]: Taking taylor expansion of PI in n
1554048275.111 * [backup-simplify]: Simplify PI into PI
1554048275.111 * [taylor]: Taking taylor expansion of n in n
1554048275.111 * [backup-simplify]: Simplify 0 into 0
1554048275.111 * [backup-simplify]: Simplify 1 into 1
1554048275.112 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048275.112 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048275.112 * [taylor]: Taking taylor expansion of 2 in n
1554048275.112 * [backup-simplify]: Simplify 2 into 2
1554048275.112 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048275.112 * [taylor]: Taking taylor expansion of PI in n
1554048275.112 * [backup-simplify]: Simplify PI into PI
1554048275.112 * [taylor]: Taking taylor expansion of n in n
1554048275.112 * [backup-simplify]: Simplify 0 into 0
1554048275.112 * [backup-simplify]: Simplify 1 into 1
1554048275.112 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048275.113 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048275.113 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048275.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048275.115 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048275.115 * [backup-simplify]: Simplify 0 into 0
1554048275.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048275.117 * [backup-simplify]: Simplify 0 into 0
1554048275.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.119 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048275.119 * [backup-simplify]: Simplify 0 into 0
1554048275.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048275.122 * [backup-simplify]: Simplify 0 into 0
1554048275.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.124 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048275.124 * [backup-simplify]: Simplify 0 into 0
1554048275.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.127 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048275.127 * [backup-simplify]: Simplify 0 into 0
1554048275.128 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1554048275.128 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
1554048275.128 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1554048275.128 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048275.128 * [taylor]: Taking taylor expansion of -2 in n
1554048275.128 * [backup-simplify]: Simplify -2 into -2
1554048275.128 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048275.128 * [taylor]: Taking taylor expansion of PI in n
1554048275.129 * [backup-simplify]: Simplify PI into PI
1554048275.129 * [taylor]: Taking taylor expansion of n in n
1554048275.129 * [backup-simplify]: Simplify 0 into 0
1554048275.129 * [backup-simplify]: Simplify 1 into 1
1554048275.129 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048275.129 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048275.129 * [taylor]: Taking taylor expansion of -2 in n
1554048275.129 * [backup-simplify]: Simplify -2 into -2
1554048275.129 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048275.129 * [taylor]: Taking taylor expansion of PI in n
1554048275.129 * [backup-simplify]: Simplify PI into PI
1554048275.129 * [taylor]: Taking taylor expansion of n in n
1554048275.129 * [backup-simplify]: Simplify 0 into 0
1554048275.129 * [backup-simplify]: Simplify 1 into 1
1554048275.130 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048275.130 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048275.131 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048275.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048275.132 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554048275.132 * [backup-simplify]: Simplify 0 into 0
1554048275.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.134 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048275.134 * [backup-simplify]: Simplify 0 into 0
1554048275.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.137 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048275.137 * [backup-simplify]: Simplify 0 into 0
1554048275.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.139 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048275.140 * [backup-simplify]: Simplify 0 into 0
1554048275.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.142 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048275.142 * [backup-simplify]: Simplify 0 into 0
1554048275.146 * [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
1554048275.148 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048275.148 * [backup-simplify]: Simplify 0 into 0
1554048275.149 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1554048275.149 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
1554048275.149 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
1554048275.149 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1554048275.149 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048275.149 * [taylor]: Taking taylor expansion of 2 in n
1554048275.149 * [backup-simplify]: Simplify 2 into 2
1554048275.149 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048275.149 * [taylor]: Taking taylor expansion of n in n
1554048275.149 * [backup-simplify]: Simplify 0 into 0
1554048275.149 * [backup-simplify]: Simplify 1 into 1
1554048275.149 * [taylor]: Taking taylor expansion of PI in n
1554048275.149 * [backup-simplify]: Simplify PI into PI
1554048275.149 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1554048275.149 * [taylor]: Taking taylor expansion of 2 in n
1554048275.149 * [backup-simplify]: Simplify 2 into 2
1554048275.149 * [taylor]: Taking taylor expansion of (* n PI) in n
1554048275.149 * [taylor]: Taking taylor expansion of n in n
1554048275.149 * [backup-simplify]: Simplify 0 into 0
1554048275.149 * [backup-simplify]: Simplify 1 into 1
1554048275.149 * [taylor]: Taking taylor expansion of PI in n
1554048275.149 * [backup-simplify]: Simplify PI into PI
1554048275.150 * [backup-simplify]: Simplify (* 0 PI) into 0
1554048275.150 * [backup-simplify]: Simplify (* 2 0) into 0
1554048275.150 * [backup-simplify]: Simplify 0 into 0
1554048275.151 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1554048275.152 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1554048275.152 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048275.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1554048275.153 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1554048275.153 * [backup-simplify]: Simplify 0 into 0
1554048275.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048275.155 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1554048275.155 * [backup-simplify]: Simplify 0 into 0
1554048275.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048275.156 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1554048275.156 * [backup-simplify]: Simplify 0 into 0
1554048275.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048275.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1554048275.158 * [backup-simplify]: Simplify 0 into 0
1554048275.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048275.160 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1554048275.160 * [backup-simplify]: Simplify 0 into 0
1554048275.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1554048275.162 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1554048275.162 * [backup-simplify]: Simplify 0 into 0
1554048275.162 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1554048275.162 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
1554048275.162 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1554048275.163 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048275.163 * [taylor]: Taking taylor expansion of 2 in n
1554048275.163 * [backup-simplify]: Simplify 2 into 2
1554048275.163 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048275.163 * [taylor]: Taking taylor expansion of PI in n
1554048275.163 * [backup-simplify]: Simplify PI into PI
1554048275.163 * [taylor]: Taking taylor expansion of n in n
1554048275.163 * [backup-simplify]: Simplify 0 into 0
1554048275.163 * [backup-simplify]: Simplify 1 into 1
1554048275.163 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048275.163 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1554048275.163 * [taylor]: Taking taylor expansion of 2 in n
1554048275.163 * [backup-simplify]: Simplify 2 into 2
1554048275.163 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048275.163 * [taylor]: Taking taylor expansion of PI in n
1554048275.163 * [backup-simplify]: Simplify PI into PI
1554048275.163 * [taylor]: Taking taylor expansion of n in n
1554048275.163 * [backup-simplify]: Simplify 0 into 0
1554048275.163 * [backup-simplify]: Simplify 1 into 1
1554048275.163 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048275.164 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048275.164 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1554048275.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048275.165 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1554048275.165 * [backup-simplify]: Simplify 0 into 0
1554048275.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048275.166 * [backup-simplify]: Simplify 0 into 0
1554048275.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.167 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048275.168 * [backup-simplify]: Simplify 0 into 0
1554048275.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.169 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048275.169 * [backup-simplify]: Simplify 0 into 0
1554048275.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.170 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048275.170 * [backup-simplify]: Simplify 0 into 0
1554048275.171 * [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
1554048275.172 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048275.172 * [backup-simplify]: Simplify 0 into 0
1554048275.172 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1554048275.173 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
1554048275.173 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1554048275.173 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048275.173 * [taylor]: Taking taylor expansion of -2 in n
1554048275.173 * [backup-simplify]: Simplify -2 into -2
1554048275.173 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048275.173 * [taylor]: Taking taylor expansion of PI in n
1554048275.173 * [backup-simplify]: Simplify PI into PI
1554048275.173 * [taylor]: Taking taylor expansion of n in n
1554048275.173 * [backup-simplify]: Simplify 0 into 0
1554048275.173 * [backup-simplify]: Simplify 1 into 1
1554048275.173 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048275.173 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1554048275.173 * [taylor]: Taking taylor expansion of -2 in n
1554048275.173 * [backup-simplify]: Simplify -2 into -2
1554048275.173 * [taylor]: Taking taylor expansion of (/ PI n) in n
1554048275.173 * [taylor]: Taking taylor expansion of PI in n
1554048275.173 * [backup-simplify]: Simplify PI into PI
1554048275.173 * [taylor]: Taking taylor expansion of n in n
1554048275.173 * [backup-simplify]: Simplify 0 into 0
1554048275.173 * [backup-simplify]: Simplify 1 into 1
1554048275.173 * [backup-simplify]: Simplify (/ PI 1) into PI
1554048275.174 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048275.174 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1554048275.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1554048275.175 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1554048275.175 * [backup-simplify]: Simplify 0 into 0
1554048275.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.176 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1554048275.176 * [backup-simplify]: Simplify 0 into 0
1554048275.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.178 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1554048275.178 * [backup-simplify]: Simplify 0 into 0
1554048275.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.180 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1554048275.181 * [backup-simplify]: Simplify 0 into 0
1554048275.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1554048275.183 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1554048275.183 * [backup-simplify]: Simplify 0 into 0
1554048275.184 * [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
1554048275.186 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1554048275.186 * [backup-simplify]: Simplify 0 into 0
1554048275.187 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1554048275.187 * * * [progress]: simplifying candidates
1554048275.187 * * * * [progress]: [ 1 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554048275.187 * * * * [progress]: [ 2 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554048275.187 * * * * [progress]: [ 3 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554048275.187 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
1554048275.187 * * [simplify]: iters left: 6 (14 enodes)
1554048275.196 * * [simplify]: iters left: 5 (60 enodes)
1554048275.217 * * [simplify]: iters left: 4 (108 enodes)
1554048275.259 * * [simplify]: iters left: 3 (255 enodes)
1554048275.338 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048275.338 * * [simplify]: Extracting #1: cost 34 inf + 0
1554048275.338 * * [simplify]: Extracting #2: cost 122 inf + 73
1554048275.339 * * [simplify]: Extracting #3: cost 134 inf + 2876
1554048275.342 * * [simplify]: Extracting #4: cost 49 inf + 20493
1554048275.351 * * [simplify]: Extracting #5: cost 4 inf + 30853
1554048275.363 * * [simplify]: Extracting #6: cost 0 inf + 31808
1554048275.377 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))
1554048275.377 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))) (pow k -1/2))))
1554048275.377 * * * * [progress]: [ 4 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554048275.378 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
1554048275.378 * * [simplify]: iters left: 6 (13 enodes)
1554048275.386 * * [simplify]: iters left: 5 (58 enodes)
1554048275.406 * * [simplify]: iters left: 4 (101 enodes)
1554048275.442 * * [simplify]: iters left: 3 (211 enodes)
1554048275.518 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048275.519 * * [simplify]: Extracting #1: cost 28 inf + 0
1554048275.519 * * [simplify]: Extracting #2: cost 110 inf + 73
1554048275.519 * * [simplify]: Extracting #3: cost 127 inf + 1744
1554048275.521 * * [simplify]: Extracting #4: cost 73 inf + 10230
1554048275.529 * * [simplify]: Extracting #5: cost 26 inf + 20266
1554048275.538 * * [simplify]: Extracting #6: cost 6 inf + 24692
1554048275.549 * * [simplify]: Extracting #7: cost 0 inf + 26084
1554048275.559 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))
1554048275.559 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (pow k -1/2))))
1554048275.559 * * * * [progress]: [ 5 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554048275.559 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
1554048275.559 * * [simplify]: iters left: 6 (12 enodes)
1554048275.563 * * [simplify]: iters left: 5 (57 enodes)
1554048275.574 * * [simplify]: iters left: 4 (111 enodes)
1554048275.595 * * [simplify]: iters left: 3 (214 enodes)
1554048275.658 * * [simplify]: iters left: 2 (472 enodes)
1554048275.794 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048275.795 * * [simplify]: Extracting #1: cost 40 inf + 0
1554048275.795 * * [simplify]: Extracting #2: cost 158 inf + 4
1554048275.796 * * [simplify]: Extracting #3: cost 193 inf + 1443
1554048275.800 * * [simplify]: Extracting #4: cost 88 inf + 19136
1554048275.812 * * [simplify]: Extracting #5: cost 7 inf + 36795
1554048275.822 * * [simplify]: Extracting #6: cost 0 inf + 38243
1554048275.833 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
1554048275.833 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (pow k -1/2))))
1554048275.834 * * * * [progress]: [ 6 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554048275.834 * * * * [progress]: [ 7 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554048275.834 * [simplify]: Simplifying (* n (* 2 PI))
1554048275.834 * * [simplify]: iters left: 4 (5 enodes)
1554048275.837 * * [simplify]: iters left: 3 (19 enodes)
1554048275.842 * * [simplify]: iters left: 2 (27 enodes)
1554048275.846 * * [simplify]: iters left: 1 (32 enodes)
1554048275.850 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048275.850 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048275.850 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048275.850 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048275.851 * [simplify]: Simplified to (* (* PI 2) n)
1554048275.851 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))
1554048275.851 * * * * [progress]: [ 8 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554048275.851 * [simplify]: Simplifying (* n (* 2 PI))
1554048275.851 * * [simplify]: iters left: 4 (5 enodes)
1554048275.853 * * [simplify]: iters left: 3 (19 enodes)
1554048275.856 * * [simplify]: iters left: 2 (27 enodes)
1554048275.860 * * [simplify]: iters left: 1 (32 enodes)
1554048275.863 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048275.863 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048275.864 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048275.864 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048275.864 * [simplify]: Simplified to (* (* PI 2) n)
1554048275.864 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))
1554048275.864 * * * * [progress]: [ 9 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554048275.864 * [simplify]: Simplifying (* n (* 2 PI))
1554048275.864 * * [simplify]: iters left: 4 (5 enodes)
1554048275.866 * * [simplify]: iters left: 3 (19 enodes)
1554048275.868 * * [simplify]: iters left: 2 (27 enodes)
1554048275.872 * * [simplify]: iters left: 1 (32 enodes)
1554048275.876 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048275.876 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048275.876 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048275.877 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048275.877 * [simplify]: Simplified to (* (* PI 2) n)
1554048275.877 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))
1554048275.877 * * * * [progress]: [ 10 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (pow k -1/2))))>
1554048275.877 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
1554048275.877 * * [simplify]: iters left: 5 (9 enodes)
1554048275.883 * * [simplify]: iters left: 4 (37 enodes)
1554048275.895 * * [simplify]: iters left: 3 (57 enodes)
1554048275.912 * * [simplify]: iters left: 2 (93 enodes)
1554048275.928 * * [simplify]: iters left: 1 (170 enodes)
1554048275.974 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048275.974 * * [simplify]: Extracting #1: cost 13 inf + 0
1554048275.974 * * [simplify]: Extracting #2: cost 59 inf + 1
1554048275.975 * * [simplify]: Extracting #3: cost 78 inf + 176
1554048275.976 * * [simplify]: Extracting #4: cost 40 inf + 3875
1554048275.981 * * [simplify]: Extracting #5: cost 7 inf + 16988
1554048275.987 * * [simplify]: Extracting #6: cost 0 inf + 20577
1554048275.993 * * [simplify]: Extracting #7: cost 0 inf + 20336
1554048275.999 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
1554048275.999 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (pow k -1/2))))
1554048275.999 * * * * [progress]: [ 11 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554048275.999 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
1554048275.999 * * [simplify]: iters left: 6 (7 enodes)
1554048276.007 * * [simplify]: iters left: 5 (32 enodes)
1554048276.018 * * [simplify]: iters left: 4 (47 enodes)
1554048276.031 * * [simplify]: iters left: 3 (53 enodes)
1554048276.047 * * [simplify]: iters left: 2 (60 enodes)
1554048276.062 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.062 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048276.062 * * [simplify]: Extracting #2: cost 11 inf + 0
1554048276.063 * * [simplify]: Extracting #3: cost 17 inf + 3
1554048276.063 * * [simplify]: Extracting #4: cost 14 inf + 129
1554048276.063 * * [simplify]: Extracting #5: cost 3 inf + 794
1554048276.063 * * [simplify]: Extracting #6: cost 0 inf + 1162
1554048276.063 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
1554048276.063 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (pow k -1/2))))
1554048276.064 * * * * [progress]: [ 12 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554048276.064 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
1554048276.064 * * [simplify]: iters left: 6 (7 enodes)
1554048276.067 * * [simplify]: iters left: 5 (32 enodes)
1554048276.072 * * [simplify]: iters left: 4 (47 enodes)
1554048276.079 * * [simplify]: iters left: 3 (53 enodes)
1554048276.088 * * [simplify]: iters left: 2 (60 enodes)
1554048276.098 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.098 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048276.098 * * [simplify]: Extracting #2: cost 11 inf + 0
1554048276.099 * * [simplify]: Extracting #3: cost 17 inf + 3
1554048276.099 * * [simplify]: Extracting #4: cost 14 inf + 129
1554048276.099 * * [simplify]: Extracting #5: cost 3 inf + 794
1554048276.100 * * [simplify]: Extracting #6: cost 0 inf + 1082
1554048276.100 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
1554048276.100 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (pow k -1/2))))
1554048276.101 * * * * [progress]: [ 13 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (pow k -1/2))))>
1554048276.101 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
1554048276.101 * * [simplify]: iters left: 6 (8 enodes)
1554048276.106 * * [simplify]: iters left: 5 (32 enodes)
1554048276.113 * * [simplify]: iters left: 4 (41 enodes)
1554048276.122 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.122 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048276.122 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048276.122 * * [simplify]: Extracting #3: cost 9 inf + 163
1554048276.122 * * [simplify]: Extracting #4: cost 13 inf + 164
1554048276.122 * * [simplify]: Extracting #5: cost 10 inf + 249
1554048276.123 * * [simplify]: Extracting #6: cost 3 inf + 986
1554048276.123 * * [simplify]: Extracting #7: cost 0 inf + 1474
1554048276.123 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
1554048276.123 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (pow k -1/2))))
1554048276.123 * * * * [progress]: [ 14 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (pow k -1/2))))>
1554048276.124 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
1554048276.124 * * [simplify]: iters left: 6 (8 enodes)
1554048276.127 * * [simplify]: iters left: 5 (32 enodes)
1554048276.133 * * [simplify]: iters left: 4 (41 enodes)
1554048276.139 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.139 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048276.139 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048276.139 * * [simplify]: Extracting #3: cost 9 inf + 83
1554048276.139 * * [simplify]: Extracting #4: cost 13 inf + 84
1554048276.139 * * [simplify]: Extracting #5: cost 10 inf + 169
1554048276.140 * * [simplify]: Extracting #6: cost 3 inf + 866
1554048276.140 * * [simplify]: Extracting #7: cost 0 inf + 1314
1554048276.140 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
1554048276.140 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (pow k -1/2))))
1554048276.140 * * * * [progress]: [ 15 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (pow k -1/2))))>
1554048276.140 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
1554048276.141 * * [simplify]: iters left: 6 (7 enodes)
1554048276.143 * * [simplify]: iters left: 5 (29 enodes)
1554048276.148 * * [simplify]: iters left: 4 (38 enodes)
1554048276.154 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.154 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048276.154 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048276.154 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048276.154 * * [simplify]: Extracting #4: cost 13 inf + 2
1554048276.154 * * [simplify]: Extracting #5: cost 12 inf + 4
1554048276.154 * * [simplify]: Extracting #6: cost 2 inf + 746
1554048276.154 * * [simplify]: Extracting #7: cost 0 inf + 1152
1554048276.155 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
1554048276.155 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (pow k -1/2))))
1554048276.155 * * * * [progress]: [ 16 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (pow k -1/2))))>
1554048276.155 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
1554048276.155 * * [simplify]: iters left: 6 (8 enodes)
1554048276.158 * * [simplify]: iters left: 5 (32 enodes)
1554048276.163 * * [simplify]: iters left: 4 (41 enodes)
1554048276.169 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.169 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048276.170 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048276.170 * * [simplify]: Extracting #3: cost 9 inf + 163
1554048276.170 * * [simplify]: Extracting #4: cost 13 inf + 164
1554048276.170 * * [simplify]: Extracting #5: cost 10 inf + 249
1554048276.170 * * [simplify]: Extracting #6: cost 3 inf + 906
1554048276.170 * * [simplify]: Extracting #7: cost 0 inf + 1314
1554048276.170 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
1554048276.171 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (pow k -1/2))))
1554048276.171 * * * * [progress]: [ 17 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (pow k -1/2))))>
1554048276.171 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
1554048276.171 * * [simplify]: iters left: 6 (8 enodes)
1554048276.174 * * [simplify]: iters left: 5 (32 enodes)
1554048276.179 * * [simplify]: iters left: 4 (41 enodes)
1554048276.185 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.185 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048276.185 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048276.185 * * [simplify]: Extracting #3: cost 9 inf + 83
1554048276.185 * * [simplify]: Extracting #4: cost 13 inf + 84
1554048276.186 * * [simplify]: Extracting #5: cost 10 inf + 169
1554048276.186 * * [simplify]: Extracting #6: cost 3 inf + 786
1554048276.186 * * [simplify]: Extracting #7: cost 0 inf + 1154
1554048276.186 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
1554048276.186 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (pow k -1/2))))
1554048276.186 * * * * [progress]: [ 18 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (pow k -1/2))))>
1554048276.187 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
1554048276.187 * * [simplify]: iters left: 6 (7 enodes)
1554048276.189 * * [simplify]: iters left: 5 (29 enodes)
1554048276.195 * * [simplify]: iters left: 4 (38 enodes)
1554048276.209 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.209 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048276.209 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048276.209 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048276.209 * * [simplify]: Extracting #4: cost 13 inf + 2
1554048276.209 * * [simplify]: Extracting #5: cost 12 inf + 4
1554048276.209 * * [simplify]: Extracting #6: cost 2 inf + 666
1554048276.210 * * [simplify]: Extracting #7: cost 0 inf + 992
1554048276.210 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
1554048276.210 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (pow k -1/2))))
1554048276.210 * * * * [progress]: [ 19 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) (pow k -1/2))))>
1554048276.211 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
1554048276.211 * * [simplify]: iters left: 6 (8 enodes)
1554048276.216 * * [simplify]: iters left: 5 (30 enodes)
1554048276.224 * * [simplify]: iters left: 4 (37 enodes)
1554048276.230 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.230 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048276.231 * * [simplify]: Extracting #2: cost 12 inf + 0
1554048276.231 * * [simplify]: Extracting #3: cost 11 inf + 405
1554048276.231 * * [simplify]: Extracting #4: cost 10 inf + 407
1554048276.231 * * [simplify]: Extracting #5: cost 4 inf + 1220
1554048276.231 * * [simplify]: Extracting #6: cost 0 inf + 1869
1554048276.231 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
1554048276.231 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (pow k -1/2))))
1554048276.232 * * * * [progress]: [ 20 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow k -1/2))))>
1554048276.232 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554048276.232 * * [simplify]: iters left: 6 (9 enodes)
1554048276.235 * * [simplify]: iters left: 5 (33 enodes)
1554048276.242 * * [simplify]: iters left: 4 (43 enodes)
1554048276.249 * * [simplify]: iters left: 3 (45 enodes)
1554048276.262 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.262 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048276.262 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048276.263 * * [simplify]: Extracting #3: cost 16 inf + 284
1554048276.263 * * [simplify]: Extracting #4: cost 11 inf + 610
1554048276.263 * * [simplify]: Extracting #5: cost 8 inf + 815
1554048276.264 * * [simplify]: Extracting #6: cost 0 inf + 2517
1554048276.264 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554048276.264 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow k -1/2))))
1554048276.264 * * * * [progress]: [ 21 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) (pow k -1/2))))>
1554048276.265 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
1554048276.265 * * [simplify]: iters left: 6 (8 enodes)
1554048276.269 * * [simplify]: iters left: 5 (30 enodes)
1554048276.278 * * [simplify]: iters left: 4 (40 enodes)
1554048276.290 * * [simplify]: iters left: 3 (42 enodes)
1554048276.301 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.301 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048276.302 * * [simplify]: Extracting #2: cost 12 inf + 82
1554048276.302 * * [simplify]: Extracting #3: cost 13 inf + 405
1554048276.302 * * [simplify]: Extracting #4: cost 12 inf + 407
1554048276.302 * * [simplify]: Extracting #5: cost 5 inf + 1383
1554048276.303 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554048276.303 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
1554048276.303 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (pow k -1/2))))
1554048276.304 * * * * [progress]: [ 22 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow k -1/2))))>
1554048276.304 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554048276.304 * * [simplify]: iters left: 6 (9 enodes)
1554048276.310 * * [simplify]: iters left: 5 (33 enodes)
1554048276.321 * * [simplify]: iters left: 4 (43 enodes)
1554048276.332 * * [simplify]: iters left: 3 (45 enodes)
1554048276.347 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.347 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048276.347 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048276.347 * * [simplify]: Extracting #3: cost 16 inf + 284
1554048276.347 * * [simplify]: Extracting #4: cost 11 inf + 610
1554048276.348 * * [simplify]: Extracting #5: cost 8 inf + 815
1554048276.348 * * [simplify]: Extracting #6: cost 0 inf + 2517
1554048276.349 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554048276.349 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow k -1/2))))
1554048276.349 * * * * [progress]: [ 23 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) (pow k -1/2))))>
1554048276.349 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
1554048276.349 * * [simplify]: iters left: 6 (8 enodes)
1554048276.352 * * [simplify]: iters left: 5 (30 enodes)
1554048276.358 * * [simplify]: iters left: 4 (35 enodes)
1554048276.363 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.364 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048276.364 * * [simplify]: Extracting #2: cost 8 inf + 42
1554048276.364 * * [simplify]: Extracting #3: cost 11 inf + 83
1554048276.364 * * [simplify]: Extracting #4: cost 10 inf + 85
1554048276.364 * * [simplify]: Extracting #5: cost 4 inf + 658
1554048276.364 * * [simplify]: Extracting #6: cost 0 inf + 1227
1554048276.364 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
1554048276.364 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (pow k -1/2))))
1554048276.364 * * * * [progress]: [ 24 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) (pow k -1/2))))>
1554048276.365 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
1554048276.365 * * [simplify]: iters left: 6 (8 enodes)
1554048276.367 * * [simplify]: iters left: 5 (30 enodes)
1554048276.373 * * [simplify]: iters left: 4 (40 enodes)
1554048276.380 * * [simplify]: iters left: 3 (42 enodes)
1554048276.392 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.392 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048276.392 * * [simplify]: Extracting #2: cost 12 inf + 42
1554048276.393 * * [simplify]: Extracting #3: cost 13 inf + 245
1554048276.393 * * [simplify]: Extracting #4: cost 12 inf + 247
1554048276.393 * * [simplify]: Extracting #5: cost 5 inf + 1143
1554048276.394 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554048276.394 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
1554048276.394 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (pow k -1/2))))
1554048276.394 * * * * [progress]: [ 25 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) (pow k -1/2))))>
1554048276.395 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
1554048276.395 * * [simplify]: iters left: 6 (8 enodes)
1554048276.399 * * [simplify]: iters left: 5 (30 enodes)
1554048276.404 * * [simplify]: iters left: 4 (40 enodes)
1554048276.410 * * [simplify]: iters left: 3 (42 enodes)
1554048276.417 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.417 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048276.417 * * [simplify]: Extracting #2: cost 11 inf + 203
1554048276.417 * * [simplify]: Extracting #3: cost 13 inf + 405
1554048276.417 * * [simplify]: Extracting #4: cost 12 inf + 407
1554048276.418 * * [simplify]: Extracting #5: cost 3 inf + 1789
1554048276.418 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554048276.418 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
1554048276.418 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (pow k -1/2))))
1554048276.418 * * * * [progress]: [ 26 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) (pow k -1/2))))>
1554048276.418 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
1554048276.419 * * [simplify]: iters left: 6 (8 enodes)
1554048276.421 * * [simplify]: iters left: 5 (30 enodes)
1554048276.426 * * [simplify]: iters left: 4 (40 enodes)
1554048276.432 * * [simplify]: iters left: 3 (42 enodes)
1554048276.441 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.441 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048276.442 * * [simplify]: Extracting #2: cost 11 inf + 123
1554048276.442 * * [simplify]: Extracting #3: cost 13 inf + 245
1554048276.442 * * [simplify]: Extracting #4: cost 12 inf + 247
1554048276.442 * * [simplify]: Extracting #5: cost 3 inf + 1509
1554048276.442 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554048276.442 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
1554048276.443 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (pow k -1/2))))
1554048276.443 * * * * [progress]: [ 27 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)) (pow k -1/2))))>
1554048276.443 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
1554048276.443 * * [simplify]: iters left: 6 (7 enodes)
1554048276.446 * * [simplify]: iters left: 5 (28 enodes)
1554048276.450 * * [simplify]: iters left: 4 (35 enodes)
1554048276.456 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.456 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048276.456 * * [simplify]: Extracting #2: cost 7 inf + 2
1554048276.456 * * [simplify]: Extracting #3: cost 11 inf + 2
1554048276.456 * * [simplify]: Extracting #4: cost 9 inf + 45
1554048276.456 * * [simplify]: Extracting #5: cost 4 inf + 455
1554048276.456 * * [simplify]: Extracting #6: cost 0 inf + 1066
1554048276.456 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
1554048276.456 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (pow k -1/2))))
1554048276.457 * * * * [progress]: [ 28 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (pow k -1/2))))>
1554048276.457 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
1554048276.457 * * [simplify]: iters left: 6 (8 enodes)
1554048276.459 * * [simplify]: iters left: 5 (30 enodes)
1554048276.464 * * [simplify]: iters left: 4 (37 enodes)
1554048276.471 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.471 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048276.471 * * [simplify]: Extracting #2: cost 12 inf + 0
1554048276.471 * * [simplify]: Extracting #3: cost 11 inf + 405
1554048276.471 * * [simplify]: Extracting #4: cost 10 inf + 407
1554048276.471 * * [simplify]: Extracting #5: cost 4 inf + 1100
1554048276.472 * * [simplify]: Extracting #6: cost 0 inf + 1629
1554048276.472 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
1554048276.472 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (pow k -1/2))))
1554048276.473 * * * * [progress]: [ 29 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow k -1/2))))>
1554048276.473 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554048276.473 * * [simplify]: iters left: 6 (9 enodes)
1554048276.479 * * [simplify]: iters left: 5 (33 enodes)
1554048276.490 * * [simplify]: iters left: 4 (43 enodes)
1554048276.504 * * [simplify]: iters left: 3 (45 enodes)
1554048276.517 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.517 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048276.518 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048276.518 * * [simplify]: Extracting #3: cost 16 inf + 284
1554048276.518 * * [simplify]: Extracting #4: cost 11 inf + 610
1554048276.518 * * [simplify]: Extracting #5: cost 8 inf + 775
1554048276.519 * * [simplify]: Extracting #6: cost 0 inf + 2197
1554048276.520 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554048276.520 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (pow k -1/2))))
1554048276.520 * * * * [progress]: [ 30 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) (pow k -1/2))))>
1554048276.520 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
1554048276.520 * * [simplify]: iters left: 6 (8 enodes)
1554048276.525 * * [simplify]: iters left: 5 (30 enodes)
1554048276.535 * * [simplify]: iters left: 4 (40 enodes)
1554048276.547 * * [simplify]: iters left: 3 (42 enodes)
1554048276.559 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.559 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048276.559 * * [simplify]: Extracting #2: cost 12 inf + 82
1554048276.559 * * [simplify]: Extracting #3: cost 13 inf + 405
1554048276.560 * * [simplify]: Extracting #4: cost 12 inf + 407
1554048276.560 * * [simplify]: Extracting #5: cost 5 inf + 1223
1554048276.560 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554048276.561 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
1554048276.561 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (pow k -1/2))))
1554048276.561 * * * * [progress]: [ 31 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow k -1/2))))>
1554048276.562 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554048276.562 * * [simplify]: iters left: 6 (9 enodes)
1554048276.570 * * [simplify]: iters left: 5 (33 enodes)
1554048276.581 * * [simplify]: iters left: 4 (43 enodes)
1554048276.588 * * [simplify]: iters left: 3 (45 enodes)
1554048276.595 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.595 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048276.595 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048276.595 * * [simplify]: Extracting #3: cost 16 inf + 284
1554048276.595 * * [simplify]: Extracting #4: cost 11 inf + 610
1554048276.595 * * [simplify]: Extracting #5: cost 8 inf + 775
1554048276.595 * * [simplify]: Extracting #6: cost 0 inf + 2197
1554048276.596 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554048276.596 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (pow k -1/2))))
1554048276.596 * * * * [progress]: [ 32 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (pow k -1/2))))>
1554048276.596 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
1554048276.596 * * [simplify]: iters left: 6 (8 enodes)
1554048276.599 * * [simplify]: iters left: 5 (30 enodes)
1554048276.604 * * [simplify]: iters left: 4 (35 enodes)
1554048276.609 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.609 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048276.609 * * [simplify]: Extracting #2: cost 8 inf + 42
1554048276.609 * * [simplify]: Extracting #3: cost 11 inf + 83
1554048276.610 * * [simplify]: Extracting #4: cost 10 inf + 85
1554048276.610 * * [simplify]: Extracting #5: cost 4 inf + 538
1554048276.610 * * [simplify]: Extracting #6: cost 0 inf + 987
1554048276.610 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
1554048276.610 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (pow k -1/2))))
1554048276.610 * * * * [progress]: [ 33 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) (pow k -1/2))))>
1554048276.610 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
1554048276.610 * * [simplify]: iters left: 6 (8 enodes)
1554048276.613 * * [simplify]: iters left: 5 (30 enodes)
1554048276.623 * * [simplify]: iters left: 4 (40 enodes)
1554048276.635 * * [simplify]: iters left: 3 (42 enodes)
1554048276.644 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.644 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048276.644 * * [simplify]: Extracting #2: cost 12 inf + 42
1554048276.645 * * [simplify]: Extracting #3: cost 13 inf + 245
1554048276.645 * * [simplify]: Extracting #4: cost 12 inf + 247
1554048276.645 * * [simplify]: Extracting #5: cost 5 inf + 983
1554048276.645 * * [simplify]: Extracting #6: cost 0 inf + 1555
1554048276.645 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
1554048276.645 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (pow k -1/2))))
1554048276.646 * * * * [progress]: [ 34 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) (pow k -1/2))))>
1554048276.646 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
1554048276.646 * * [simplify]: iters left: 6 (8 enodes)
1554048276.648 * * [simplify]: iters left: 5 (30 enodes)
1554048276.653 * * [simplify]: iters left: 4 (40 enodes)
1554048276.659 * * [simplify]: iters left: 3 (42 enodes)
1554048276.666 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.666 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048276.666 * * [simplify]: Extracting #2: cost 11 inf + 203
1554048276.666 * * [simplify]: Extracting #3: cost 13 inf + 405
1554048276.666 * * [simplify]: Extracting #4: cost 12 inf + 407
1554048276.666 * * [simplify]: Extracting #5: cost 3 inf + 1549
1554048276.667 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554048276.667 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
1554048276.667 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (pow k -1/2))))
1554048276.669 * * * * [progress]: [ 35 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) (pow k -1/2))))>
1554048276.669 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
1554048276.669 * * [simplify]: iters left: 6 (8 enodes)
1554048276.671 * * [simplify]: iters left: 5 (30 enodes)
1554048276.677 * * [simplify]: iters left: 4 (40 enodes)
1554048276.683 * * [simplify]: iters left: 3 (42 enodes)
1554048276.693 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.693 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048276.693 * * [simplify]: Extracting #2: cost 11 inf + 123
1554048276.693 * * [simplify]: Extracting #3: cost 13 inf + 245
1554048276.693 * * [simplify]: Extracting #4: cost 12 inf + 247
1554048276.694 * * [simplify]: Extracting #5: cost 3 inf + 1269
1554048276.694 * * [simplify]: Extracting #6: cost 0 inf + 1555
1554048276.695 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
1554048276.695 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (pow k -1/2))))
1554048276.695 * * * * [progress]: [ 36 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) (pow k -1/2))))>
1554048276.695 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
1554048276.696 * * [simplify]: iters left: 6 (7 enodes)
1554048276.700 * * [simplify]: iters left: 5 (28 enodes)
1554048276.709 * * [simplify]: iters left: 4 (35 enodes)
1554048276.720 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.720 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048276.720 * * [simplify]: Extracting #2: cost 7 inf + 2
1554048276.720 * * [simplify]: Extracting #3: cost 11 inf + 2
1554048276.720 * * [simplify]: Extracting #4: cost 9 inf + 45
1554048276.720 * * [simplify]: Extracting #5: cost 4 inf + 375
1554048276.721 * * [simplify]: Extracting #6: cost 0 inf + 826
1554048276.721 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
1554048276.721 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (pow k -1/2))))
1554048276.721 * * * * [progress]: [ 37 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (pow k -1/2))))>
1554048276.722 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
1554048276.722 * * [simplify]: iters left: 6 (7 enodes)
1554048276.726 * * [simplify]: iters left: 5 (30 enodes)
1554048276.737 * * [simplify]: iters left: 4 (49 enodes)
1554048276.752 * * [simplify]: iters left: 3 (59 enodes)
1554048276.769 * * [simplify]: iters left: 2 (64 enodes)
1554048276.787 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.787 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048276.787 * * [simplify]: Extracting #2: cost 23 inf + 0
1554048276.787 * * [simplify]: Extracting #3: cost 24 inf + 3
1554048276.787 * * [simplify]: Extracting #4: cost 15 inf + 980
1554048276.788 * * [simplify]: Extracting #5: cost 1 inf + 3007
1554048276.789 * * [simplify]: Extracting #6: cost 0 inf + 3169
1554048276.790 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
1554048276.790 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (pow k -1/2))))
1554048276.790 * * * * [progress]: [ 38 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow k -1/2))))>
1554048276.791 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554048276.791 * * [simplify]: iters left: 6 (8 enodes)
1554048276.796 * * [simplify]: iters left: 5 (33 enodes)
1554048276.810 * * [simplify]: iters left: 4 (55 enodes)
1554048276.828 * * [simplify]: iters left: 3 (72 enodes)
1554048276.849 * * [simplify]: iters left: 2 (84 enodes)
1554048276.872 * * [simplify]: iters left: 1 (88 enodes)
1554048276.884 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.884 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048276.884 * * [simplify]: Extracting #2: cost 30 inf + 0
1554048276.884 * * [simplify]: Extracting #3: cost 33 inf + 84
1554048276.885 * * [simplify]: Extracting #4: cost 12 inf + 2402
1554048276.885 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554048276.886 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554048276.886 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow k -1/2))))
1554048276.886 * * * * [progress]: [ 39 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (pow k -1/2))))>
1554048276.887 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
1554048276.887 * * [simplify]: iters left: 6 (7 enodes)
1554048276.889 * * [simplify]: iters left: 5 (30 enodes)
1554048276.894 * * [simplify]: iters left: 4 (52 enodes)
1554048276.903 * * [simplify]: iters left: 3 (70 enodes)
1554048276.920 * * [simplify]: iters left: 2 (81 enodes)
1554048276.945 * * [simplify]: iters left: 1 (84 enodes)
1554048276.966 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048276.966 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048276.966 * * [simplify]: Extracting #2: cost 25 inf + 203
1554048276.966 * * [simplify]: Extracting #3: cost 25 inf + 530
1554048276.967 * * [simplify]: Extracting #4: cost 4 inf + 2936
1554048276.969 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554048276.970 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
1554048276.970 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (pow k -1/2))))
1554048276.970 * * * * [progress]: [ 40 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow k -1/2))))>
1554048276.970 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554048276.971 * * [simplify]: iters left: 6 (8 enodes)
1554048276.975 * * [simplify]: iters left: 5 (33 enodes)
1554048276.987 * * [simplify]: iters left: 4 (55 enodes)
1554048277.005 * * [simplify]: iters left: 3 (72 enodes)
1554048277.025 * * [simplify]: iters left: 2 (84 enodes)
1554048277.048 * * [simplify]: iters left: 1 (88 enodes)
1554048277.060 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048277.060 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048277.060 * * [simplify]: Extracting #2: cost 30 inf + 0
1554048277.061 * * [simplify]: Extracting #3: cost 33 inf + 44
1554048277.061 * * [simplify]: Extracting #4: cost 12 inf + 2362
1554048277.062 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554048277.062 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554048277.062 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow k -1/2))))
1554048277.062 * * * * [progress]: [ 41 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (pow k -1/2))))>
1554048277.064 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
1554048277.064 * * [simplify]: iters left: 6 (7 enodes)
1554048277.067 * * [simplify]: iters left: 5 (30 enodes)
1554048277.072 * * [simplify]: iters left: 4 (48 enodes)
1554048277.087 * * [simplify]: iters left: 3 (56 enodes)
1554048277.102 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048277.102 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048277.102 * * [simplify]: Extracting #2: cost 15 inf + 43
1554048277.103 * * [simplify]: Extracting #3: cost 16 inf + 86
1554048277.103 * * [simplify]: Extracting #4: cost 5 inf + 911
1554048277.103 * * [simplify]: Extracting #5: cost 1 inf + 1198
1554048277.104 * * [simplify]: Extracting #6: cost 0 inf + 1320
1554048277.105 * [simplify]: Simplified to (/ (- 1 k) 2)
1554048277.105 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (pow k -1/2))))
1554048277.105 * * * * [progress]: [ 42 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (pow k -1/2))))>
1554048277.106 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
1554048277.106 * * [simplify]: iters left: 6 (7 enodes)
1554048277.111 * * [simplify]: iters left: 5 (30 enodes)
1554048277.122 * * [simplify]: iters left: 4 (52 enodes)
1554048277.138 * * [simplify]: iters left: 3 (70 enodes)
1554048277.158 * * [simplify]: iters left: 2 (81 enodes)
1554048277.181 * * [simplify]: iters left: 1 (84 enodes)
1554048277.203 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048277.203 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048277.203 * * [simplify]: Extracting #2: cost 25 inf + 123
1554048277.203 * * [simplify]: Extracting #3: cost 25 inf + 330
1554048277.204 * * [simplify]: Extracting #4: cost 4 inf + 2256
1554048277.205 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554048277.207 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
1554048277.207 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (pow k -1/2))))
1554048277.207 * * * * [progress]: [ 43 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (pow k -1/2))))>
1554048277.207 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
1554048277.207 * * [simplify]: iters left: 6 (7 enodes)
1554048277.215 * * [simplify]: iters left: 5 (31 enodes)
1554048277.226 * * [simplify]: iters left: 4 (51 enodes)
1554048277.242 * * [simplify]: iters left: 3 (64 enodes)
1554048277.257 * * [simplify]: iters left: 2 (77 enodes)
1554048277.268 * * [simplify]: iters left: 1 (84 enodes)
1554048277.279 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048277.280 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048277.280 * * [simplify]: Extracting #2: cost 26 inf + 82
1554048277.280 * * [simplify]: Extracting #3: cost 24 inf + 692
1554048277.280 * * [simplify]: Extracting #4: cost 3 inf + 3057
1554048277.281 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554048277.281 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
1554048277.281 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (pow k -1/2))))
1554048277.282 * * * * [progress]: [ 44 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (pow k -1/2))))>
1554048277.282 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
1554048277.282 * * [simplify]: iters left: 6 (7 enodes)
1554048277.284 * * [simplify]: iters left: 5 (31 enodes)
1554048277.295 * * [simplify]: iters left: 4 (51 enodes)
1554048277.310 * * [simplify]: iters left: 3 (64 enodes)
1554048277.330 * * [simplify]: iters left: 2 (77 enodes)
1554048277.354 * * [simplify]: iters left: 1 (84 enodes)
1554048277.369 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048277.369 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048277.369 * * [simplify]: Extracting #2: cost 26 inf + 42
1554048277.369 * * [simplify]: Extracting #3: cost 24 inf + 452
1554048277.369 * * [simplify]: Extracting #4: cost 3 inf + 2337
1554048277.370 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554048277.370 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
1554048277.371 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (pow k -1/2))))
1554048277.371 * * * * [progress]: [ 45 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048277.371 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554048277.371 * * [simplify]: iters left: 6 (6 enodes)
1554048277.373 * * [simplify]: iters left: 5 (29 enodes)
1554048277.379 * * [simplify]: iters left: 4 (44 enodes)
1554048277.385 * * [simplify]: iters left: 3 (50 enodes)
1554048277.394 * * [simplify]: iters left: 2 (57 enodes)
1554048277.409 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048277.409 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048277.409 * * [simplify]: Extracting #2: cost 15 inf + 3
1554048277.409 * * [simplify]: Extracting #3: cost 11 inf + 131
1554048277.410 * * [simplify]: Extracting #4: cost 2 inf + 711
1554048277.410 * * [simplify]: Extracting #5: cost 0 inf + 836
1554048277.411 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554048277.411 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (pow k -1/2))))
1554048277.411 * * * * [progress]: [ 46 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) (pow k -1/2))))>
1554048277.411 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
1554048277.411 * * [simplify]: iters left: 6 (9 enodes)
1554048277.417 * * [simplify]: iters left: 5 (36 enodes)
1554048277.429 * * [simplify]: iters left: 4 (58 enodes)
1554048277.446 * * [simplify]: iters left: 3 (71 enodes)
1554048277.468 * * [simplify]: iters left: 2 (79 enodes)
1554048277.488 * * [simplify]: iters left: 1 (80 enodes)
1554048277.508 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048277.508 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048277.508 * * [simplify]: Extracting #2: cost 24 inf + 0
1554048277.509 * * [simplify]: Extracting #3: cost 29 inf + 2
1554048277.509 * * [simplify]: Extracting #4: cost 10 inf + 2233
1554048277.510 * * [simplify]: Extracting #5: cost 1 inf + 4013
1554048277.512 * * [simplify]: Extracting #6: cost 0 inf + 4135
1554048277.513 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
1554048277.513 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow k -1/2))))
1554048277.514 * * * * [progress]: [ 47 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) (pow k -1/2))))>
1554048277.514 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
1554048277.514 * * [simplify]: iters left: 6 (10 enodes)
1554048277.520 * * [simplify]: iters left: 5 (39 enodes)
1554048277.534 * * [simplify]: iters left: 4 (64 enodes)
1554048277.543 * * [simplify]: iters left: 3 (86 enodes)
1554048277.556 * * [simplify]: iters left: 2 (99 enodes)
1554048277.569 * * [simplify]: iters left: 1 (104 enodes)
1554048277.584 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048277.584 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048277.584 * * [simplify]: Extracting #2: cost 31 inf + 0
1554048277.584 * * [simplify]: Extracting #3: cost 39 inf + 2
1554048277.584 * * [simplify]: Extracting #4: cost 22 inf + 1871
1554048277.585 * * [simplify]: Extracting #5: cost 4 inf + 4865
1554048277.586 * * [simplify]: Extracting #6: cost 0 inf + 5675
1554048277.587 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
1554048277.587 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (pow k -1/2))))
1554048277.587 * * * * [progress]: [ 48 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) (pow k -1/2))))>
1554048277.587 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
1554048277.587 * * [simplify]: iters left: 6 (9 enodes)
1554048277.590 * * [simplify]: iters left: 5 (36 enodes)
1554048277.596 * * [simplify]: iters left: 4 (61 enodes)
1554048277.615 * * [simplify]: iters left: 3 (84 enodes)
1554048277.639 * * [simplify]: iters left: 2 (96 enodes)
1554048277.664 * * [simplify]: iters left: 1 (100 enodes)
1554048277.688 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048277.689 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048277.689 * * [simplify]: Extracting #2: cost 27 inf + 82
1554048277.689 * * [simplify]: Extracting #3: cost 29 inf + 651
1554048277.690 * * [simplify]: Extracting #4: cost 12 inf + 2763
1554048277.691 * * [simplify]: Extracting #5: cost 1 inf + 4587
1554048277.693 * * [simplify]: Extracting #6: cost 0 inf + 4710
1554048277.694 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
1554048277.694 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (pow k -1/2))))
1554048277.695 * * * * [progress]: [ 49 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) (pow k -1/2))))>
1554048277.695 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
1554048277.695 * * [simplify]: iters left: 6 (10 enodes)
1554048277.704 * * [simplify]: iters left: 5 (39 enodes)
1554048277.719 * * [simplify]: iters left: 4 (64 enodes)
1554048277.738 * * [simplify]: iters left: 3 (86 enodes)
1554048277.762 * * [simplify]: iters left: 2 (99 enodes)
1554048277.789 * * [simplify]: iters left: 1 (104 enodes)
1554048277.816 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048277.816 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048277.816 * * [simplify]: Extracting #2: cost 31 inf + 0
1554048277.816 * * [simplify]: Extracting #3: cost 39 inf + 2
1554048277.817 * * [simplify]: Extracting #4: cost 22 inf + 1831
1554048277.818 * * [simplify]: Extracting #5: cost 4 inf + 4785
1554048277.820 * * [simplify]: Extracting #6: cost 0 inf + 5595
1554048277.822 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
1554048277.822 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (pow k -1/2))))
1554048277.822 * * * * [progress]: [ 50 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (pow k -1/2))))>
1554048277.823 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
1554048277.823 * * [simplify]: iters left: 6 (9 enodes)
1554048277.829 * * [simplify]: iters left: 5 (36 enodes)
1554048277.842 * * [simplify]: iters left: 4 (57 enodes)
1554048277.857 * * [simplify]: iters left: 3 (73 enodes)
1554048277.867 * * [simplify]: iters left: 2 (80 enodes)
1554048277.878 * * [simplify]: iters left: 1 (81 enodes)
1554048277.898 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048277.898 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048277.899 * * [simplify]: Extracting #2: cost 18 inf + 43
1554048277.899 * * [simplify]: Extracting #3: cost 23 inf + 85
1554048277.899 * * [simplify]: Extracting #4: cost 9 inf + 1271
1554048277.900 * * [simplify]: Extracting #5: cost 0 inf + 2370
1554048277.901 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554048277.901 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))))
1554048277.902 * * * * [progress]: [ 51 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) (pow k -1/2))))>
1554048277.902 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
1554048277.902 * * [simplify]: iters left: 6 (9 enodes)
1554048277.908 * * [simplify]: iters left: 5 (36 enodes)
1554048277.920 * * [simplify]: iters left: 4 (61 enodes)
1554048277.940 * * [simplify]: iters left: 3 (84 enodes)
1554048277.964 * * [simplify]: iters left: 2 (96 enodes)
1554048277.990 * * [simplify]: iters left: 1 (100 enodes)
1554048278.010 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048278.010 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048278.010 * * [simplify]: Extracting #2: cost 27 inf + 42
1554048278.010 * * [simplify]: Extracting #3: cost 29 inf + 411
1554048278.011 * * [simplify]: Extracting #4: cost 12 inf + 2163
1554048278.011 * * [simplify]: Extracting #5: cost 1 inf + 3707
1554048278.012 * * [simplify]: Extracting #6: cost 0 inf + 3830
1554048278.013 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
1554048278.013 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (pow k -1/2))))
1554048278.013 * * * * [progress]: [ 52 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) (pow k -1/2))))>
1554048278.013 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
1554048278.013 * * [simplify]: iters left: 6 (9 enodes)
1554048278.017 * * [simplify]: iters left: 5 (36 enodes)
1554048278.024 * * [simplify]: iters left: 4 (62 enodes)
1554048278.041 * * [simplify]: iters left: 3 (78 enodes)
1554048278.054 * * [simplify]: iters left: 2 (90 enodes)
1554048278.066 * * [simplify]: iters left: 1 (94 enodes)
1554048278.080 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048278.080 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048278.080 * * [simplify]: Extracting #2: cost 27 inf + 1
1554048278.080 * * [simplify]: Extracting #3: cost 29 inf + 409
1554048278.081 * * [simplify]: Extracting #4: cost 12 inf + 2359
1554048278.082 * * [simplify]: Extracting #5: cost 2 inf + 4022
1554048278.084 * * [simplify]: Extracting #6: cost 0 inf + 4466
1554048278.085 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
1554048278.085 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (pow k -1/2))))
1554048278.085 * * * * [progress]: [ 53 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) (pow k -1/2))))>
1554048278.086 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
1554048278.086 * * [simplify]: iters left: 6 (9 enodes)
1554048278.092 * * [simplify]: iters left: 5 (36 enodes)
1554048278.101 * * [simplify]: iters left: 4 (62 enodes)
1554048278.111 * * [simplify]: iters left: 3 (78 enodes)
1554048278.122 * * [simplify]: iters left: 2 (90 enodes)
1554048278.141 * * [simplify]: iters left: 1 (94 enodes)
1554048278.152 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048278.152 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048278.153 * * [simplify]: Extracting #2: cost 27 inf + 1
1554048278.153 * * [simplify]: Extracting #3: cost 29 inf + 249
1554048278.153 * * [simplify]: Extracting #4: cost 12 inf + 1879
1554048278.154 * * [simplify]: Extracting #5: cost 2 inf + 3302
1554048278.154 * * [simplify]: Extracting #6: cost 0 inf + 3666
1554048278.155 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
1554048278.155 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (pow k -1/2))))
1554048278.155 * * * * [progress]: [ 54 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) (pow k -1/2))))>
1554048278.155 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
1554048278.155 * * [simplify]: iters left: 6 (8 enodes)
1554048278.158 * * [simplify]: iters left: 5 (34 enodes)
1554048278.166 * * [simplify]: iters left: 4 (58 enodes)
1554048278.179 * * [simplify]: iters left: 3 (65 enodes)
1554048278.196 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048278.196 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048278.198 * * [simplify]: Extracting #2: cost 14 inf + 3
1554048278.199 * * [simplify]: Extracting #3: cost 17 inf + 5
1554048278.199 * * [simplify]: Extracting #4: cost 12 inf + 292
1554048278.199 * * [simplify]: Extracting #5: cost 1 inf + 1355
1554048278.200 * * [simplify]: Extracting #6: cost 0 inf + 1478
1554048278.200 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
1554048278.201 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (pow k -1/2))))
1554048278.201 * * * * [progress]: [ 55 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (pow k -1/2))))>
1554048278.201 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
1554048278.201 * * [simplify]: iters left: 6 (8 enodes)
1554048278.206 * * [simplify]: iters left: 5 (33 enodes)
1554048278.218 * * [simplify]: iters left: 4 (52 enodes)
1554048278.235 * * [simplify]: iters left: 3 (62 enodes)
1554048278.254 * * [simplify]: iters left: 2 (67 enodes)
1554048278.273 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048278.273 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048278.273 * * [simplify]: Extracting #2: cost 23 inf + 0
1554048278.273 * * [simplify]: Extracting #3: cost 24 inf + 285
1554048278.273 * * [simplify]: Extracting #4: cost 18 inf + 975
1554048278.274 * * [simplify]: Extracting #5: cost 7 inf + 2516
1554048278.275 * * [simplify]: Extracting #6: cost 0 inf + 3891
1554048278.276 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
1554048278.276 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow k -1/2))))
1554048278.277 * * * * [progress]: [ 56 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) (pow k -1/2))))>
1554048278.277 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
1554048278.277 * * [simplify]: iters left: 6 (9 enodes)
1554048278.283 * * [simplify]: iters left: 5 (36 enodes)
1554048278.295 * * [simplify]: iters left: 4 (58 enodes)
1554048278.313 * * [simplify]: iters left: 3 (75 enodes)
1554048278.324 * * [simplify]: iters left: 2 (87 enodes)
1554048278.338 * * [simplify]: iters left: 1 (91 enodes)
1554048278.354 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048278.354 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048278.354 * * [simplify]: Extracting #2: cost 30 inf + 0
1554048278.354 * * [simplify]: Extracting #3: cost 36 inf + 83
1554048278.355 * * [simplify]: Extracting #4: cost 30 inf + 451
1554048278.355 * * [simplify]: Extracting #5: cost 10 inf + 3649
1554048278.357 * * [simplify]: Extracting #6: cost 0 inf + 5431
1554048278.359 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
1554048278.359 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (pow k -1/2))))
1554048278.359 * * * * [progress]: [ 57 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) (pow k -1/2))))>
1554048278.360 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
1554048278.360 * * [simplify]: iters left: 6 (8 enodes)
1554048278.365 * * [simplify]: iters left: 5 (33 enodes)
1554048278.376 * * [simplify]: iters left: 4 (55 enodes)
1554048278.395 * * [simplify]: iters left: 3 (73 enodes)
1554048278.415 * * [simplify]: iters left: 2 (84 enodes)
1554048278.439 * * [simplify]: iters left: 1 (87 enodes)
1554048278.454 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048278.454 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048278.454 * * [simplify]: Extracting #2: cost 25 inf + 203
1554048278.454 * * [simplify]: Extracting #3: cost 29 inf + 407
1554048278.454 * * [simplify]: Extracting #4: cost 24 inf + 896
1554048278.455 * * [simplify]: Extracting #5: cost 9 inf + 2805
1554048278.455 * * [simplify]: Extracting #6: cost 0 inf + 4466
1554048278.456 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
1554048278.456 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (pow k -1/2))))
1554048278.456 * * * * [progress]: [ 58 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) (pow k -1/2))))>
1554048278.456 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
1554048278.457 * * [simplify]: iters left: 6 (9 enodes)
1554048278.460 * * [simplify]: iters left: 5 (36 enodes)
1554048278.468 * * [simplify]: iters left: 4 (58 enodes)
1554048278.481 * * [simplify]: iters left: 3 (75 enodes)
1554048278.503 * * [simplify]: iters left: 2 (87 enodes)
1554048278.528 * * [simplify]: iters left: 1 (91 enodes)
1554048278.552 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048278.552 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048278.552 * * [simplify]: Extracting #2: cost 30 inf + 0
1554048278.553 * * [simplify]: Extracting #3: cost 36 inf + 43
1554048278.553 * * [simplify]: Extracting #4: cost 30 inf + 451
1554048278.554 * * [simplify]: Extracting #5: cost 10 inf + 3769
1554048278.556 * * [simplify]: Extracting #6: cost 0 inf + 5431
1554048278.557 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
1554048278.557 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (pow k -1/2))))
1554048278.557 * * * * [progress]: [ 59 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (pow k -1/2))))>
1554048278.558 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
1554048278.558 * * [simplify]: iters left: 6 (8 enodes)
1554048278.563 * * [simplify]: iters left: 5 (33 enodes)
1554048278.575 * * [simplify]: iters left: 4 (51 enodes)
1554048278.591 * * [simplify]: iters left: 3 (59 enodes)
1554048278.609 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048278.609 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048278.609 * * [simplify]: Extracting #2: cost 15 inf + 43
1554048278.609 * * [simplify]: Extracting #3: cost 19 inf + 85
1554048278.610 * * [simplify]: Extracting #4: cost 16 inf + 250
1554048278.610 * * [simplify]: Extracting #5: cost 5 inf + 1311
1554048278.611 * * [simplify]: Extracting #6: cost 0 inf + 1962
1554048278.611 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554048278.611 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))))
1554048278.612 * * * * [progress]: [ 60 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) (pow k -1/2))))>
1554048278.612 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
1554048278.612 * * [simplify]: iters left: 6 (8 enodes)
1554048278.617 * * [simplify]: iters left: 5 (33 enodes)
1554048278.628 * * [simplify]: iters left: 4 (55 enodes)
1554048278.645 * * [simplify]: iters left: 3 (73 enodes)
1554048278.668 * * [simplify]: iters left: 2 (84 enodes)
1554048278.691 * * [simplify]: iters left: 1 (87 enodes)
1554048278.714 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048278.714 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048278.715 * * [simplify]: Extracting #2: cost 25 inf + 123
1554048278.715 * * [simplify]: Extracting #3: cost 29 inf + 247
1554048278.715 * * [simplify]: Extracting #4: cost 24 inf + 576
1554048278.716 * * [simplify]: Extracting #5: cost 9 inf + 2245
1554048278.717 * * [simplify]: Extracting #6: cost 0 inf + 3666
1554048278.719 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
1554048278.719 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (pow k -1/2))))
1554048278.719 * * * * [progress]: [ 61 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) (pow k -1/2))))>
1554048278.719 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
1554048278.719 * * [simplify]: iters left: 6 (8 enodes)
1554048278.725 * * [simplify]: iters left: 5 (34 enodes)
1554048278.738 * * [simplify]: iters left: 4 (54 enodes)
1554048278.754 * * [simplify]: iters left: 3 (67 enodes)
1554048278.777 * * [simplify]: iters left: 2 (80 enodes)
1554048278.801 * * [simplify]: iters left: 1 (87 enodes)
1554048278.823 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048278.823 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048278.823 * * [simplify]: Extracting #2: cost 25 inf + 203
1554048278.823 * * [simplify]: Extracting #3: cost 26 inf + 773
1554048278.824 * * [simplify]: Extracting #4: cost 24 inf + 896
1554048278.824 * * [simplify]: Extracting #5: cost 8 inf + 3127
1554048278.826 * * [simplify]: Extracting #6: cost 0 inf + 4466
1554048278.827 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
1554048278.827 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (pow k -1/2))))
1554048278.828 * * * * [progress]: [ 62 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) (pow k -1/2))))>
1554048278.828 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
1554048278.828 * * [simplify]: iters left: 6 (8 enodes)
1554048278.833 * * [simplify]: iters left: 5 (34 enodes)
1554048278.846 * * [simplify]: iters left: 4 (54 enodes)
1554048278.863 * * [simplify]: iters left: 3 (67 enodes)
1554048278.883 * * [simplify]: iters left: 2 (80 enodes)
1554048278.898 * * [simplify]: iters left: 1 (87 enodes)
1554048278.912 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048278.912 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048278.912 * * [simplify]: Extracting #2: cost 25 inf + 123
1554048278.912 * * [simplify]: Extracting #3: cost 26 inf + 493
1554048278.913 * * [simplify]: Extracting #4: cost 24 inf + 576
1554048278.913 * * [simplify]: Extracting #5: cost 8 inf + 2527
1554048278.914 * * [simplify]: Extracting #6: cost 0 inf + 3666
1554048278.914 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
1554048278.914 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (pow k -1/2))))
1554048278.915 * * * * [progress]: [ 63 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (pow k -1/2))))>
1554048278.915 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
1554048278.915 * * [simplify]: iters left: 6 (7 enodes)
1554048278.918 * * [simplify]: iters left: 5 (32 enodes)
1554048278.930 * * [simplify]: iters left: 4 (50 enodes)
1554048278.945 * * [simplify]: iters left: 3 (54 enodes)
1554048278.961 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048278.961 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048278.961 * * [simplify]: Extracting #2: cost 13 inf + 3
1554048278.961 * * [simplify]: Extracting #3: cost 15 inf + 5
1554048278.961 * * [simplify]: Extracting #4: cost 14 inf + 6
1554048278.961 * * [simplify]: Extracting #5: cost 4 inf + 825
1554048278.962 * * [simplify]: Extracting #6: cost 0 inf + 1234
1554048278.962 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
1554048278.962 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (pow k -1/2))))
1554048278.963 * * * * [progress]: [ 64 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (pow k -1/2))))>
1554048278.963 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
1554048278.963 * * [simplify]: iters left: 6 (7 enodes)
1554048278.968 * * [simplify]: iters left: 5 (30 enodes)
1554048278.979 * * [simplify]: iters left: 4 (49 enodes)
1554048278.995 * * [simplify]: iters left: 3 (59 enodes)
1554048279.012 * * [simplify]: iters left: 2 (64 enodes)
1554048279.030 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.030 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048279.030 * * [simplify]: Extracting #2: cost 23 inf + 0
1554048279.030 * * [simplify]: Extracting #3: cost 24 inf + 3
1554048279.031 * * [simplify]: Extracting #4: cost 15 inf + 980
1554048279.031 * * [simplify]: Extracting #5: cost 1 inf + 3007
1554048279.032 * * [simplify]: Extracting #6: cost 0 inf + 3169
1554048279.033 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
1554048279.033 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (pow k -1/2))))
1554048279.034 * * * * [progress]: [ 65 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow k -1/2))))>
1554048279.034 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554048279.034 * * [simplify]: iters left: 6 (8 enodes)
1554048279.039 * * [simplify]: iters left: 5 (33 enodes)
1554048279.053 * * [simplify]: iters left: 4 (55 enodes)
1554048279.071 * * [simplify]: iters left: 3 (72 enodes)
1554048279.092 * * [simplify]: iters left: 2 (84 enodes)
1554048279.116 * * [simplify]: iters left: 1 (88 enodes)
1554048279.140 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.140 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048279.140 * * [simplify]: Extracting #2: cost 30 inf + 0
1554048279.141 * * [simplify]: Extracting #3: cost 33 inf + 84
1554048279.141 * * [simplify]: Extracting #4: cost 12 inf + 2402
1554048279.143 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554048279.144 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554048279.144 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow k -1/2))))
1554048279.144 * * * * [progress]: [ 66 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (pow k -1/2))))>
1554048279.145 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
1554048279.145 * * [simplify]: iters left: 6 (7 enodes)
1554048279.150 * * [simplify]: iters left: 5 (30 enodes)
1554048279.160 * * [simplify]: iters left: 4 (52 enodes)
1554048279.178 * * [simplify]: iters left: 3 (70 enodes)
1554048279.198 * * [simplify]: iters left: 2 (81 enodes)
1554048279.224 * * [simplify]: iters left: 1 (84 enodes)
1554048279.247 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.247 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048279.247 * * [simplify]: Extracting #2: cost 25 inf + 203
1554048279.247 * * [simplify]: Extracting #3: cost 25 inf + 530
1554048279.248 * * [simplify]: Extracting #4: cost 4 inf + 2936
1554048279.249 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554048279.250 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
1554048279.250 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (pow k -1/2))))
1554048279.251 * * * * [progress]: [ 67 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (pow k -1/2))))>
1554048279.251 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554048279.251 * * [simplify]: iters left: 6 (8 enodes)
1554048279.257 * * [simplify]: iters left: 5 (33 enodes)
1554048279.269 * * [simplify]: iters left: 4 (55 enodes)
1554048279.286 * * [simplify]: iters left: 3 (72 enodes)
1554048279.308 * * [simplify]: iters left: 2 (84 enodes)
1554048279.333 * * [simplify]: iters left: 1 (88 enodes)
1554048279.356 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.356 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048279.357 * * [simplify]: Extracting #2: cost 30 inf + 0
1554048279.357 * * [simplify]: Extracting #3: cost 33 inf + 44
1554048279.357 * * [simplify]: Extracting #4: cost 12 inf + 2362
1554048279.361 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554048279.362 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554048279.362 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (pow k -1/2))))
1554048279.363 * * * * [progress]: [ 68 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (pow k -1/2))))>
1554048279.363 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
1554048279.363 * * [simplify]: iters left: 6 (7 enodes)
1554048279.368 * * [simplify]: iters left: 5 (30 enodes)
1554048279.379 * * [simplify]: iters left: 4 (48 enodes)
1554048279.395 * * [simplify]: iters left: 3 (56 enodes)
1554048279.410 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.410 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048279.410 * * [simplify]: Extracting #2: cost 15 inf + 43
1554048279.410 * * [simplify]: Extracting #3: cost 16 inf + 86
1554048279.411 * * [simplify]: Extracting #4: cost 5 inf + 911
1554048279.411 * * [simplify]: Extracting #5: cost 1 inf + 1198
1554048279.412 * * [simplify]: Extracting #6: cost 0 inf + 1320
1554048279.413 * [simplify]: Simplified to (/ (- 1 k) 2)
1554048279.413 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (pow k -1/2))))
1554048279.413 * * * * [progress]: [ 69 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (pow k -1/2))))>
1554048279.413 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
1554048279.413 * * [simplify]: iters left: 6 (7 enodes)
1554048279.418 * * [simplify]: iters left: 5 (30 enodes)
1554048279.429 * * [simplify]: iters left: 4 (52 enodes)
1554048279.446 * * [simplify]: iters left: 3 (70 enodes)
1554048279.467 * * [simplify]: iters left: 2 (81 enodes)
1554048279.490 * * [simplify]: iters left: 1 (84 enodes)
1554048279.505 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.505 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048279.505 * * [simplify]: Extracting #2: cost 25 inf + 123
1554048279.505 * * [simplify]: Extracting #3: cost 25 inf + 330
1554048279.506 * * [simplify]: Extracting #4: cost 4 inf + 2256
1554048279.506 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554048279.508 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
1554048279.508 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (pow k -1/2))))
1554048279.509 * * * * [progress]: [ 70 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (pow k -1/2))))>
1554048279.509 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
1554048279.509 * * [simplify]: iters left: 6 (7 enodes)
1554048279.512 * * [simplify]: iters left: 5 (31 enodes)
1554048279.518 * * [simplify]: iters left: 4 (51 enodes)
1554048279.526 * * [simplify]: iters left: 3 (64 enodes)
1554048279.542 * * [simplify]: iters left: 2 (77 enodes)
1554048279.553 * * [simplify]: iters left: 1 (84 enodes)
1554048279.565 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.565 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048279.565 * * [simplify]: Extracting #2: cost 26 inf + 82
1554048279.565 * * [simplify]: Extracting #3: cost 24 inf + 692
1554048279.566 * * [simplify]: Extracting #4: cost 3 inf + 3057
1554048279.567 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554048279.567 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
1554048279.567 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (pow k -1/2))))
1554048279.567 * * * * [progress]: [ 71 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (pow k -1/2))))>
1554048279.568 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
1554048279.568 * * [simplify]: iters left: 6 (7 enodes)
1554048279.570 * * [simplify]: iters left: 5 (31 enodes)
1554048279.579 * * [simplify]: iters left: 4 (51 enodes)
1554048279.594 * * [simplify]: iters left: 3 (64 enodes)
1554048279.613 * * [simplify]: iters left: 2 (77 enodes)
1554048279.636 * * [simplify]: iters left: 1 (84 enodes)
1554048279.659 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.659 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048279.659 * * [simplify]: Extracting #2: cost 26 inf + 42
1554048279.660 * * [simplify]: Extracting #3: cost 24 inf + 452
1554048279.660 * * [simplify]: Extracting #4: cost 3 inf + 2337
1554048279.662 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554048279.663 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
1554048279.663 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (pow k -1/2))))
1554048279.663 * * * * [progress]: [ 72 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048279.663 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554048279.664 * * [simplify]: iters left: 6 (6 enodes)
1554048279.668 * * [simplify]: iters left: 5 (29 enodes)
1554048279.678 * * [simplify]: iters left: 4 (44 enodes)
1554048279.684 * * [simplify]: iters left: 3 (50 enodes)
1554048279.691 * * [simplify]: iters left: 2 (57 enodes)
1554048279.699 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.699 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048279.699 * * [simplify]: Extracting #2: cost 15 inf + 3
1554048279.699 * * [simplify]: Extracting #3: cost 11 inf + 131
1554048279.700 * * [simplify]: Extracting #4: cost 2 inf + 711
1554048279.700 * * [simplify]: Extracting #5: cost 0 inf + 836
1554048279.700 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554048279.700 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (pow k -1/2))))
1554048279.700 * * * * [progress]: [ 73 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (pow k -1/2))))>
1554048279.701 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
1554048279.701 * * [simplify]: iters left: 6 (7 enodes)
1554048279.703 * * [simplify]: iters left: 5 (31 enodes)
1554048279.709 * * [simplify]: iters left: 4 (51 enodes)
1554048279.716 * * [simplify]: iters left: 3 (64 enodes)
1554048279.737 * * [simplify]: iters left: 2 (77 enodes)
1554048279.758 * * [simplify]: iters left: 1 (84 enodes)
1554048279.770 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.770 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048279.770 * * [simplify]: Extracting #2: cost 26 inf + 82
1554048279.770 * * [simplify]: Extracting #3: cost 24 inf + 692
1554048279.770 * * [simplify]: Extracting #4: cost 3 inf + 3057
1554048279.771 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554048279.772 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
1554048279.772 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (pow k -1/2))))
1554048279.772 * * * * [progress]: [ 74 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (pow k -1/2))))>
1554048279.772 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
1554048279.772 * * [simplify]: iters left: 6 (7 enodes)
1554048279.775 * * [simplify]: iters left: 5 (31 enodes)
1554048279.780 * * [simplify]: iters left: 4 (51 enodes)
1554048279.789 * * [simplify]: iters left: 3 (64 enodes)
1554048279.799 * * [simplify]: iters left: 2 (77 enodes)
1554048279.811 * * [simplify]: iters left: 1 (84 enodes)
1554048279.822 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.822 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048279.823 * * [simplify]: Extracting #2: cost 26 inf + 42
1554048279.824 * * [simplify]: Extracting #3: cost 24 inf + 452
1554048279.825 * * [simplify]: Extracting #4: cost 3 inf + 2337
1554048279.825 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554048279.826 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
1554048279.826 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (pow k -1/2))))
1554048279.826 * * * * [progress]: [ 75 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048279.826 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554048279.826 * * [simplify]: iters left: 6 (6 enodes)
1554048279.829 * * [simplify]: iters left: 5 (29 enodes)
1554048279.834 * * [simplify]: iters left: 4 (44 enodes)
1554048279.841 * * [simplify]: iters left: 3 (50 enodes)
1554048279.856 * * [simplify]: iters left: 2 (57 enodes)
1554048279.871 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.871 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048279.871 * * [simplify]: Extracting #2: cost 15 inf + 3
1554048279.871 * * [simplify]: Extracting #3: cost 11 inf + 131
1554048279.871 * * [simplify]: Extracting #4: cost 2 inf + 711
1554048279.871 * * [simplify]: Extracting #5: cost 0 inf + 836
1554048279.872 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554048279.872 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) (pow k -1/2))))
1554048279.872 * * * * [progress]: [ 76 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (pow k -1/2))))>
1554048279.872 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
1554048279.872 * * [simplify]: iters left: 4 (5 enodes)
1554048279.874 * * [simplify]: iters left: 3 (20 enodes)
1554048279.878 * * [simplify]: iters left: 2 (27 enodes)
1554048279.884 * * [simplify]: iters left: 1 (29 enodes)
1554048279.888 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.889 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048279.889 * * [simplify]: Extracting #2: cost 4 inf + 449
1554048279.889 * * [simplify]: Extracting #3: cost 0 inf + 895
1554048279.889 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
1554048279.889 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (pow k -1/2))))
1554048279.889 * * * * [progress]: [ 77 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (pow k -1/2))))>
1554048279.889 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
1554048279.889 * * [simplify]: iters left: 4 (5 enodes)
1554048279.892 * * [simplify]: iters left: 3 (20 enodes)
1554048279.896 * * [simplify]: iters left: 2 (27 enodes)
1554048279.900 * * [simplify]: iters left: 1 (29 enodes)
1554048279.905 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.905 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048279.905 * * [simplify]: Extracting #2: cost 4 inf + 289
1554048279.905 * * [simplify]: Extracting #3: cost 0 inf + 575
1554048279.906 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
1554048279.906 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (pow k -1/2))))
1554048279.906 * * * * [progress]: [ 78 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) (pow k -1/2))))>
1554048279.906 * [simplify]: Simplifying (/ (/ 1 2) 2)
1554048279.906 * * [simplify]: iters left: 4 (4 enodes)
1554048279.909 * * [simplify]: iters left: 3 (19 enodes)
1554048279.912 * * [simplify]: iters left: 2 (23 enodes)
1554048279.916 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.916 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048279.916 * [simplify]: Simplified to 1/4
1554048279.916 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) (pow k -1/2))))
1554048279.917 * * * * [progress]: [ 79 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048279.917 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554048279.917 * * [simplify]: iters left: 6 (6 enodes)
1554048279.919 * * [simplify]: iters left: 5 (29 enodes)
1554048279.927 * * [simplify]: iters left: 4 (44 enodes)
1554048279.934 * * [simplify]: iters left: 3 (50 enodes)
1554048279.941 * * [simplify]: iters left: 2 (57 enodes)
1554048279.949 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.950 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048279.950 * * [simplify]: Extracting #2: cost 15 inf + 3
1554048279.950 * * [simplify]: Extracting #3: cost 11 inf + 131
1554048279.950 * * [simplify]: Extracting #4: cost 2 inf + 711
1554048279.950 * * [simplify]: Extracting #5: cost 0 inf + 836
1554048279.950 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554048279.950 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (pow k -1/2))))
1554048279.951 * * * * [progress]: [ 80 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)) (pow k -1/2))))>
1554048279.951 * [simplify]: Simplifying (/ 1 2)
1554048279.951 * * [simplify]: iters left: 2 (3 enodes)
1554048279.953 * * [simplify]: iters left: 1 (12 enodes)
1554048279.955 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048279.955 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048279.955 * [simplify]: Simplified to 1/2
1554048279.955 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) (pow k -1/2))))
1554048279.955 * * * * [progress]: [ 81 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554048279.955 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
1554048279.955 * * [simplify]: iters left: 6 (8 enodes)
1554048279.959 * * [simplify]: iters left: 5 (38 enodes)
1554048279.973 * * [simplify]: iters left: 4 (66 enodes)
1554048279.998 * * [simplify]: iters left: 3 (110 enodes)
1554048280.037 * * [simplify]: iters left: 2 (200 enodes)
1554048280.109 * * [simplify]: iters left: 1 (403 enodes)
1554048280.305 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048280.305 * * [simplify]: Extracting #1: cost 26 inf + 0
1554048280.306 * * [simplify]: Extracting #2: cost 100 inf + 2
1554048280.307 * * [simplify]: Extracting #3: cost 164 inf + 10
1554048280.309 * * [simplify]: Extracting #4: cost 163 inf + 641
1554048280.314 * * [simplify]: Extracting #5: cost 72 inf + 12998
1554048280.326 * * [simplify]: Extracting #6: cost 25 inf + 35040
1554048280.341 * * [simplify]: Extracting #7: cost 0 inf + 54806
1554048280.358 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
1554048280.358 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))
1554048280.358 * * * * [progress]: [ 82 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (pow k -1/2))))>
1554048280.358 * * * * [progress]: [ 83 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554048280.358 * * * * [progress]: [ 84 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554048280.358 * * * * [progress]: [ 85 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554048280.358 * * * * [progress]: [ 86 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554048280.358 * * * * [progress]: [ 87 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554048280.358 * * * * [progress]: [ 88 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>
1554048280.358 * * * * [progress]: [ 89 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow k -1/2))))>
1554048280.358 * * * * [progress]: [ 90 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (pow k -1/2))))>
1554048280.358 * * * * [progress]: [ 91 / 234 ] simplifiying candidate #<alt (λ (k n) (* (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048280.359 * * * * [progress]: [ 92 / 234 ] simplifiying candidate #<alt (λ (k n) (* (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048280.359 * * * * [progress]: [ 93 / 234 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048280.359 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
1554048280.359 * * [simplify]: iters left: 6 (14 enodes)
1554048280.367 * * [simplify]: iters left: 5 (60 enodes)
1554048280.388 * * [simplify]: iters left: 4 (108 enodes)
1554048280.434 * * [simplify]: iters left: 3 (255 enodes)
1554048280.558 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048280.558 * * [simplify]: Extracting #1: cost 34 inf + 0
1554048280.559 * * [simplify]: Extracting #2: cost 122 inf + 73
1554048280.560 * * [simplify]: Extracting #3: cost 134 inf + 2876
1554048280.566 * * [simplify]: Extracting #4: cost 49 inf + 20493
1554048280.578 * * [simplify]: Extracting #5: cost 4 inf + 30853
1554048280.592 * * [simplify]: Extracting #6: cost 0 inf + 31808
1554048280.605 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))
1554048280.605 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048280.605 * * * * [progress]: [ 94 / 234 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048280.606 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
1554048280.606 * * [simplify]: iters left: 6 (13 enodes)
1554048280.614 * * [simplify]: iters left: 5 (58 enodes)
1554048280.634 * * [simplify]: iters left: 4 (101 enodes)
1554048280.675 * * [simplify]: iters left: 3 (211 enodes)
1554048280.772 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048280.772 * * [simplify]: Extracting #1: cost 28 inf + 0
1554048280.772 * * [simplify]: Extracting #2: cost 110 inf + 73
1554048280.773 * * [simplify]: Extracting #3: cost 127 inf + 1744
1554048280.777 * * [simplify]: Extracting #4: cost 73 inf + 10230
1554048280.784 * * [simplify]: Extracting #5: cost 26 inf + 20266
1554048280.793 * * [simplify]: Extracting #6: cost 6 inf + 24692
1554048280.807 * * [simplify]: Extracting #7: cost 0 inf + 26084
1554048280.812 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))
1554048280.812 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048280.813 * * * * [progress]: [ 95 / 234 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048280.813 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
1554048280.813 * * [simplify]: iters left: 6 (12 enodes)
1554048280.817 * * [simplify]: iters left: 5 (57 enodes)
1554048280.827 * * [simplify]: iters left: 4 (111 enodes)
1554048280.857 * * [simplify]: iters left: 3 (214 enodes)
1554048280.903 * * [simplify]: iters left: 2 (472 enodes)
1554048281.095 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.096 * * [simplify]: Extracting #1: cost 40 inf + 0
1554048281.096 * * [simplify]: Extracting #2: cost 158 inf + 4
1554048281.099 * * [simplify]: Extracting #3: cost 193 inf + 1443
1554048281.107 * * [simplify]: Extracting #4: cost 88 inf + 19136
1554048281.126 * * [simplify]: Extracting #5: cost 7 inf + 36795
1554048281.145 * * [simplify]: Extracting #6: cost 0 inf + 38243
1554048281.164 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
1554048281.164 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.164 * * * * [progress]: [ 96 / 234 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.164 * * * * [progress]: [ 97 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.165 * [simplify]: Simplifying (* n (* 2 PI))
1554048281.165 * * [simplify]: iters left: 4 (5 enodes)
1554048281.167 * * [simplify]: iters left: 3 (19 enodes)
1554048281.173 * * [simplify]: iters left: 2 (27 enodes)
1554048281.182 * * [simplify]: iters left: 1 (32 enodes)
1554048281.190 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.190 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048281.190 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048281.190 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048281.191 * [simplify]: Simplified to (* (* PI 2) n)
1554048281.191 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.191 * * * * [progress]: [ 98 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.191 * [simplify]: Simplifying (* n (* 2 PI))
1554048281.191 * * [simplify]: iters left: 4 (5 enodes)
1554048281.194 * * [simplify]: iters left: 3 (19 enodes)
1554048281.200 * * [simplify]: iters left: 2 (27 enodes)
1554048281.207 * * [simplify]: iters left: 1 (32 enodes)
1554048281.213 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.213 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048281.213 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048281.213 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048281.214 * [simplify]: Simplified to (* (* PI 2) n)
1554048281.214 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.214 * * * * [progress]: [ 99 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.214 * [simplify]: Simplifying (* n (* 2 PI))
1554048281.214 * * [simplify]: iters left: 4 (5 enodes)
1554048281.215 * * [simplify]: iters left: 3 (19 enodes)
1554048281.218 * * [simplify]: iters left: 2 (27 enodes)
1554048281.222 * * [simplify]: iters left: 1 (32 enodes)
1554048281.226 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.226 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048281.226 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048281.226 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048281.227 * [simplify]: Simplified to (* (* PI 2) n)
1554048281.227 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.227 * * * * [progress]: [ 100 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.227 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
1554048281.227 * * [simplify]: iters left: 5 (9 enodes)
1554048281.230 * * [simplify]: iters left: 4 (37 enodes)
1554048281.239 * * [simplify]: iters left: 3 (57 enodes)
1554048281.258 * * [simplify]: iters left: 2 (93 enodes)
1554048281.281 * * [simplify]: iters left: 1 (170 enodes)
1554048281.330 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.330 * * [simplify]: Extracting #1: cost 13 inf + 0
1554048281.331 * * [simplify]: Extracting #2: cost 59 inf + 1
1554048281.331 * * [simplify]: Extracting #3: cost 78 inf + 176
1554048281.333 * * [simplify]: Extracting #4: cost 40 inf + 3875
1554048281.338 * * [simplify]: Extracting #5: cost 7 inf + 16988
1554048281.344 * * [simplify]: Extracting #6: cost 0 inf + 20577
1554048281.350 * * [simplify]: Extracting #7: cost 0 inf + 20336
1554048281.355 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
1554048281.355 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.356 * * * * [progress]: [ 101 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.356 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
1554048281.356 * * [simplify]: iters left: 6 (7 enodes)
1554048281.361 * * [simplify]: iters left: 5 (32 enodes)
1554048281.374 * * [simplify]: iters left: 4 (47 enodes)
1554048281.389 * * [simplify]: iters left: 3 (53 enodes)
1554048281.405 * * [simplify]: iters left: 2 (60 enodes)
1554048281.414 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.414 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048281.414 * * [simplify]: Extracting #2: cost 11 inf + 0
1554048281.414 * * [simplify]: Extracting #3: cost 17 inf + 3
1554048281.414 * * [simplify]: Extracting #4: cost 14 inf + 129
1554048281.414 * * [simplify]: Extracting #5: cost 3 inf + 794
1554048281.415 * * [simplify]: Extracting #6: cost 0 inf + 1162
1554048281.415 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
1554048281.415 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.415 * * * * [progress]: [ 102 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.415 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
1554048281.415 * * [simplify]: iters left: 6 (7 enodes)
1554048281.418 * * [simplify]: iters left: 5 (32 enodes)
1554048281.424 * * [simplify]: iters left: 4 (47 enodes)
1554048281.431 * * [simplify]: iters left: 3 (53 enodes)
1554048281.449 * * [simplify]: iters left: 2 (60 enodes)
1554048281.462 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.462 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048281.463 * * [simplify]: Extracting #2: cost 11 inf + 0
1554048281.463 * * [simplify]: Extracting #3: cost 17 inf + 3
1554048281.463 * * [simplify]: Extracting #4: cost 14 inf + 129
1554048281.463 * * [simplify]: Extracting #5: cost 3 inf + 794
1554048281.463 * * [simplify]: Extracting #6: cost 0 inf + 1082
1554048281.463 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
1554048281.464 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.465 * * * * [progress]: [ 103 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.465 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
1554048281.465 * * [simplify]: iters left: 6 (8 enodes)
1554048281.468 * * [simplify]: iters left: 5 (32 enodes)
1554048281.473 * * [simplify]: iters left: 4 (41 enodes)
1554048281.480 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.480 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048281.480 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048281.480 * * [simplify]: Extracting #3: cost 9 inf + 163
1554048281.480 * * [simplify]: Extracting #4: cost 13 inf + 164
1554048281.480 * * [simplify]: Extracting #5: cost 10 inf + 249
1554048281.480 * * [simplify]: Extracting #6: cost 3 inf + 986
1554048281.480 * * [simplify]: Extracting #7: cost 0 inf + 1474
1554048281.481 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
1554048281.481 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.481 * * * * [progress]: [ 104 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.481 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
1554048281.481 * * [simplify]: iters left: 6 (8 enodes)
1554048281.484 * * [simplify]: iters left: 5 (32 enodes)
1554048281.493 * * [simplify]: iters left: 4 (41 enodes)
1554048281.506 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.506 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048281.506 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048281.507 * * [simplify]: Extracting #3: cost 9 inf + 83
1554048281.507 * * [simplify]: Extracting #4: cost 13 inf + 84
1554048281.507 * * [simplify]: Extracting #5: cost 10 inf + 169
1554048281.507 * * [simplify]: Extracting #6: cost 3 inf + 866
1554048281.508 * * [simplify]: Extracting #7: cost 0 inf + 1314
1554048281.508 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
1554048281.508 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.508 * * * * [progress]: [ 105 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.509 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
1554048281.509 * * [simplify]: iters left: 6 (7 enodes)
1554048281.514 * * [simplify]: iters left: 5 (29 enodes)
1554048281.523 * * [simplify]: iters left: 4 (38 enodes)
1554048281.535 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.535 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048281.535 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048281.535 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048281.535 * * [simplify]: Extracting #4: cost 13 inf + 2
1554048281.535 * * [simplify]: Extracting #5: cost 12 inf + 4
1554048281.535 * * [simplify]: Extracting #6: cost 2 inf + 746
1554048281.536 * * [simplify]: Extracting #7: cost 0 inf + 1152
1554048281.536 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
1554048281.536 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.536 * * * * [progress]: [ 106 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.537 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
1554048281.537 * * [simplify]: iters left: 6 (8 enodes)
1554048281.542 * * [simplify]: iters left: 5 (32 enodes)
1554048281.553 * * [simplify]: iters left: 4 (41 enodes)
1554048281.566 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.566 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048281.566 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048281.566 * * [simplify]: Extracting #3: cost 9 inf + 163
1554048281.567 * * [simplify]: Extracting #4: cost 13 inf + 164
1554048281.567 * * [simplify]: Extracting #5: cost 10 inf + 249
1554048281.567 * * [simplify]: Extracting #6: cost 3 inf + 906
1554048281.568 * * [simplify]: Extracting #7: cost 0 inf + 1314
1554048281.568 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
1554048281.568 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.568 * * * * [progress]: [ 107 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.569 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
1554048281.569 * * [simplify]: iters left: 6 (8 enodes)
1554048281.576 * * [simplify]: iters left: 5 (32 enodes)
1554048281.582 * * [simplify]: iters left: 4 (41 enodes)
1554048281.589 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.589 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048281.589 * * [simplify]: Extracting #2: cost 8 inf + 0
1554048281.589 * * [simplify]: Extracting #3: cost 9 inf + 83
1554048281.589 * * [simplify]: Extracting #4: cost 13 inf + 84
1554048281.589 * * [simplify]: Extracting #5: cost 10 inf + 169
1554048281.589 * * [simplify]: Extracting #6: cost 3 inf + 786
1554048281.589 * * [simplify]: Extracting #7: cost 0 inf + 1154
1554048281.590 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
1554048281.590 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.590 * * * * [progress]: [ 108 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.590 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
1554048281.590 * * [simplify]: iters left: 6 (7 enodes)
1554048281.592 * * [simplify]: iters left: 5 (29 enodes)
1554048281.597 * * [simplify]: iters left: 4 (38 enodes)
1554048281.603 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.603 * * [simplify]: Extracting #1: cost 4 inf + 0
1554048281.603 * * [simplify]: Extracting #2: cost 5 inf + 1
1554048281.603 * * [simplify]: Extracting #3: cost 9 inf + 1
1554048281.603 * * [simplify]: Extracting #4: cost 13 inf + 2
1554048281.603 * * [simplify]: Extracting #5: cost 12 inf + 4
1554048281.603 * * [simplify]: Extracting #6: cost 2 inf + 666
1554048281.603 * * [simplify]: Extracting #7: cost 0 inf + 992
1554048281.604 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
1554048281.604 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.604 * * * * [progress]: [ 109 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.604 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
1554048281.604 * * [simplify]: iters left: 6 (8 enodes)
1554048281.608 * * [simplify]: iters left: 5 (30 enodes)
1554048281.618 * * [simplify]: iters left: 4 (37 enodes)
1554048281.629 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.629 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048281.630 * * [simplify]: Extracting #2: cost 12 inf + 0
1554048281.630 * * [simplify]: Extracting #3: cost 11 inf + 405
1554048281.630 * * [simplify]: Extracting #4: cost 10 inf + 407
1554048281.630 * * [simplify]: Extracting #5: cost 4 inf + 1220
1554048281.631 * * [simplify]: Extracting #6: cost 0 inf + 1869
1554048281.631 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
1554048281.631 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.631 * * * * [progress]: [ 110 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.632 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554048281.632 * * [simplify]: iters left: 6 (9 enodes)
1554048281.637 * * [simplify]: iters left: 5 (33 enodes)
1554048281.648 * * [simplify]: iters left: 4 (43 enodes)
1554048281.662 * * [simplify]: iters left: 3 (45 enodes)
1554048281.676 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.676 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048281.677 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048281.677 * * [simplify]: Extracting #3: cost 16 inf + 284
1554048281.677 * * [simplify]: Extracting #4: cost 11 inf + 610
1554048281.677 * * [simplify]: Extracting #5: cost 8 inf + 815
1554048281.678 * * [simplify]: Extracting #6: cost 0 inf + 2517
1554048281.679 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554048281.679 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.679 * * * * [progress]: [ 111 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.679 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
1554048281.679 * * [simplify]: iters left: 6 (8 enodes)
1554048281.684 * * [simplify]: iters left: 5 (30 enodes)
1554048281.695 * * [simplify]: iters left: 4 (40 enodes)
1554048281.709 * * [simplify]: iters left: 3 (42 enodes)
1554048281.721 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.721 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048281.721 * * [simplify]: Extracting #2: cost 12 inf + 82
1554048281.721 * * [simplify]: Extracting #3: cost 13 inf + 405
1554048281.721 * * [simplify]: Extracting #4: cost 12 inf + 407
1554048281.721 * * [simplify]: Extracting #5: cost 5 inf + 1383
1554048281.722 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554048281.722 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
1554048281.722 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.722 * * * * [progress]: [ 112 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.722 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554048281.723 * * [simplify]: iters left: 6 (9 enodes)
1554048281.725 * * [simplify]: iters left: 5 (33 enodes)
1554048281.731 * * [simplify]: iters left: 4 (43 enodes)
1554048281.738 * * [simplify]: iters left: 3 (45 enodes)
1554048281.746 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.746 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048281.746 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048281.746 * * [simplify]: Extracting #3: cost 16 inf + 284
1554048281.746 * * [simplify]: Extracting #4: cost 11 inf + 610
1554048281.747 * * [simplify]: Extracting #5: cost 8 inf + 815
1554048281.747 * * [simplify]: Extracting #6: cost 0 inf + 2517
1554048281.747 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554048281.747 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.747 * * * * [progress]: [ 113 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.748 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
1554048281.748 * * [simplify]: iters left: 6 (8 enodes)
1554048281.750 * * [simplify]: iters left: 5 (30 enodes)
1554048281.758 * * [simplify]: iters left: 4 (35 enodes)
1554048281.768 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.768 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048281.768 * * [simplify]: Extracting #2: cost 8 inf + 42
1554048281.768 * * [simplify]: Extracting #3: cost 11 inf + 83
1554048281.768 * * [simplify]: Extracting #4: cost 10 inf + 85
1554048281.769 * * [simplify]: Extracting #5: cost 4 inf + 658
1554048281.769 * * [simplify]: Extracting #6: cost 0 inf + 1227
1554048281.770 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
1554048281.770 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.770 * * * * [progress]: [ 114 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.770 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
1554048281.770 * * [simplify]: iters left: 6 (8 enodes)
1554048281.775 * * [simplify]: iters left: 5 (30 enodes)
1554048281.784 * * [simplify]: iters left: 4 (40 enodes)
1554048281.790 * * [simplify]: iters left: 3 (42 enodes)
1554048281.797 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.797 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048281.797 * * [simplify]: Extracting #2: cost 12 inf + 42
1554048281.797 * * [simplify]: Extracting #3: cost 13 inf + 245
1554048281.797 * * [simplify]: Extracting #4: cost 12 inf + 247
1554048281.797 * * [simplify]: Extracting #5: cost 5 inf + 1143
1554048281.798 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554048281.798 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
1554048281.798 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.798 * * * * [progress]: [ 115 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.798 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
1554048281.798 * * [simplify]: iters left: 6 (8 enodes)
1554048281.801 * * [simplify]: iters left: 5 (30 enodes)
1554048281.807 * * [simplify]: iters left: 4 (40 enodes)
1554048281.816 * * [simplify]: iters left: 3 (42 enodes)
1554048281.823 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.823 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048281.823 * * [simplify]: Extracting #2: cost 11 inf + 203
1554048281.823 * * [simplify]: Extracting #3: cost 13 inf + 405
1554048281.824 * * [simplify]: Extracting #4: cost 12 inf + 407
1554048281.824 * * [simplify]: Extracting #5: cost 3 inf + 1789
1554048281.825 * * [simplify]: Extracting #6: cost 0 inf + 2195
1554048281.825 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
1554048281.825 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.826 * * * * [progress]: [ 116 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.826 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
1554048281.826 * * [simplify]: iters left: 6 (8 enodes)
1554048281.831 * * [simplify]: iters left: 5 (30 enodes)
1554048281.842 * * [simplify]: iters left: 4 (40 enodes)
1554048281.854 * * [simplify]: iters left: 3 (42 enodes)
1554048281.866 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.866 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048281.866 * * [simplify]: Extracting #2: cost 11 inf + 123
1554048281.867 * * [simplify]: Extracting #3: cost 13 inf + 245
1554048281.867 * * [simplify]: Extracting #4: cost 12 inf + 247
1554048281.867 * * [simplify]: Extracting #5: cost 3 inf + 1509
1554048281.868 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554048281.868 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
1554048281.868 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.869 * * * * [progress]: [ 117 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.869 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
1554048281.869 * * [simplify]: iters left: 6 (7 enodes)
1554048281.873 * * [simplify]: iters left: 5 (28 enodes)
1554048281.883 * * [simplify]: iters left: 4 (35 enodes)
1554048281.893 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.893 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048281.893 * * [simplify]: Extracting #2: cost 7 inf + 2
1554048281.893 * * [simplify]: Extracting #3: cost 11 inf + 2
1554048281.893 * * [simplify]: Extracting #4: cost 9 inf + 45
1554048281.894 * * [simplify]: Extracting #5: cost 4 inf + 455
1554048281.894 * * [simplify]: Extracting #6: cost 0 inf + 1066
1554048281.894 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
1554048281.894 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.895 * * * * [progress]: [ 118 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.895 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
1554048281.895 * * [simplify]: iters left: 6 (8 enodes)
1554048281.900 * * [simplify]: iters left: 5 (30 enodes)
1554048281.905 * * [simplify]: iters left: 4 (37 enodes)
1554048281.911 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.911 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048281.911 * * [simplify]: Extracting #2: cost 12 inf + 0
1554048281.911 * * [simplify]: Extracting #3: cost 11 inf + 405
1554048281.911 * * [simplify]: Extracting #4: cost 10 inf + 407
1554048281.911 * * [simplify]: Extracting #5: cost 4 inf + 1100
1554048281.912 * * [simplify]: Extracting #6: cost 0 inf + 1629
1554048281.912 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
1554048281.912 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.912 * * * * [progress]: [ 119 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.912 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554048281.912 * * [simplify]: iters left: 6 (9 enodes)
1554048281.915 * * [simplify]: iters left: 5 (33 enodes)
1554048281.921 * * [simplify]: iters left: 4 (43 enodes)
1554048281.930 * * [simplify]: iters left: 3 (45 enodes)
1554048281.946 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.946 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048281.946 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048281.946 * * [simplify]: Extracting #3: cost 16 inf + 284
1554048281.946 * * [simplify]: Extracting #4: cost 11 inf + 610
1554048281.947 * * [simplify]: Extracting #5: cost 8 inf + 775
1554048281.947 * * [simplify]: Extracting #6: cost 0 inf + 2197
1554048281.948 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
1554048281.948 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.948 * * * * [progress]: [ 120 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.949 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
1554048281.949 * * [simplify]: iters left: 6 (8 enodes)
1554048281.954 * * [simplify]: iters left: 5 (30 enodes)
1554048281.963 * * [simplify]: iters left: 4 (40 enodes)
1554048281.975 * * [simplify]: iters left: 3 (42 enodes)
1554048281.988 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048281.988 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048281.988 * * [simplify]: Extracting #2: cost 12 inf + 82
1554048281.988 * * [simplify]: Extracting #3: cost 13 inf + 405
1554048281.988 * * [simplify]: Extracting #4: cost 12 inf + 407
1554048281.989 * * [simplify]: Extracting #5: cost 5 inf + 1223
1554048281.989 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554048281.990 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
1554048281.990 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048281.990 * * * * [progress]: [ 121 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048281.991 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554048281.991 * * [simplify]: iters left: 6 (9 enodes)
1554048281.996 * * [simplify]: iters left: 5 (33 enodes)
1554048282.008 * * [simplify]: iters left: 4 (43 enodes)
1554048282.022 * * [simplify]: iters left: 3 (45 enodes)
1554048282.036 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.036 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048282.036 * * [simplify]: Extracting #2: cost 16 inf + 0
1554048282.036 * * [simplify]: Extracting #3: cost 16 inf + 284
1554048282.036 * * [simplify]: Extracting #4: cost 11 inf + 610
1554048282.036 * * [simplify]: Extracting #5: cost 8 inf + 775
1554048282.037 * * [simplify]: Extracting #6: cost 0 inf + 2197
1554048282.037 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
1554048282.037 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.037 * * * * [progress]: [ 122 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.038 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
1554048282.038 * * [simplify]: iters left: 6 (8 enodes)
1554048282.040 * * [simplify]: iters left: 5 (30 enodes)
1554048282.046 * * [simplify]: iters left: 4 (35 enodes)
1554048282.051 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.051 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048282.051 * * [simplify]: Extracting #2: cost 8 inf + 42
1554048282.051 * * [simplify]: Extracting #3: cost 11 inf + 83
1554048282.051 * * [simplify]: Extracting #4: cost 10 inf + 85
1554048282.051 * * [simplify]: Extracting #5: cost 4 inf + 538
1554048282.051 * * [simplify]: Extracting #6: cost 0 inf + 987
1554048282.052 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
1554048282.052 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.052 * * * * [progress]: [ 123 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.052 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
1554048282.052 * * [simplify]: iters left: 6 (8 enodes)
1554048282.055 * * [simplify]: iters left: 5 (30 enodes)
1554048282.060 * * [simplify]: iters left: 4 (40 enodes)
1554048282.067 * * [simplify]: iters left: 3 (42 enodes)
1554048282.082 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.082 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048282.082 * * [simplify]: Extracting #2: cost 12 inf + 42
1554048282.082 * * [simplify]: Extracting #3: cost 13 inf + 245
1554048282.083 * * [simplify]: Extracting #4: cost 12 inf + 247
1554048282.083 * * [simplify]: Extracting #5: cost 5 inf + 983
1554048282.083 * * [simplify]: Extracting #6: cost 0 inf + 1555
1554048282.084 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
1554048282.084 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.084 * * * * [progress]: [ 124 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.085 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
1554048282.085 * * [simplify]: iters left: 6 (8 enodes)
1554048282.090 * * [simplify]: iters left: 5 (30 enodes)
1554048282.101 * * [simplify]: iters left: 4 (40 enodes)
1554048282.113 * * [simplify]: iters left: 3 (42 enodes)
1554048282.125 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.126 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048282.126 * * [simplify]: Extracting #2: cost 11 inf + 203
1554048282.126 * * [simplify]: Extracting #3: cost 13 inf + 405
1554048282.126 * * [simplify]: Extracting #4: cost 12 inf + 407
1554048282.126 * * [simplify]: Extracting #5: cost 3 inf + 1549
1554048282.127 * * [simplify]: Extracting #6: cost 0 inf + 1875
1554048282.128 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
1554048282.128 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.128 * * * * [progress]: [ 125 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.129 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
1554048282.129 * * [simplify]: iters left: 6 (8 enodes)
1554048282.134 * * [simplify]: iters left: 5 (30 enodes)
1554048282.144 * * [simplify]: iters left: 4 (40 enodes)
1554048282.157 * * [simplify]: iters left: 3 (42 enodes)
1554048282.170 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.170 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048282.170 * * [simplify]: Extracting #2: cost 11 inf + 123
1554048282.170 * * [simplify]: Extracting #3: cost 13 inf + 245
1554048282.170 * * [simplify]: Extracting #4: cost 12 inf + 247
1554048282.171 * * [simplify]: Extracting #5: cost 3 inf + 1269
1554048282.171 * * [simplify]: Extracting #6: cost 0 inf + 1555
1554048282.172 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
1554048282.172 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.172 * * * * [progress]: [ 126 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.173 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
1554048282.173 * * [simplify]: iters left: 6 (7 enodes)
1554048282.177 * * [simplify]: iters left: 5 (28 enodes)
1554048282.188 * * [simplify]: iters left: 4 (35 enodes)
1554048282.199 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.199 * * [simplify]: Extracting #1: cost 6 inf + 0
1554048282.199 * * [simplify]: Extracting #2: cost 7 inf + 2
1554048282.199 * * [simplify]: Extracting #3: cost 11 inf + 2
1554048282.199 * * [simplify]: Extracting #4: cost 9 inf + 45
1554048282.199 * * [simplify]: Extracting #5: cost 4 inf + 375
1554048282.200 * * [simplify]: Extracting #6: cost 0 inf + 826
1554048282.200 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
1554048282.200 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.200 * * * * [progress]: [ 127 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.201 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
1554048282.201 * * [simplify]: iters left: 6 (7 enodes)
1554048282.205 * * [simplify]: iters left: 5 (30 enodes)
1554048282.216 * * [simplify]: iters left: 4 (49 enodes)
1554048282.232 * * [simplify]: iters left: 3 (59 enodes)
1554048282.252 * * [simplify]: iters left: 2 (64 enodes)
1554048282.270 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.270 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048282.271 * * [simplify]: Extracting #2: cost 23 inf + 0
1554048282.271 * * [simplify]: Extracting #3: cost 24 inf + 3
1554048282.271 * * [simplify]: Extracting #4: cost 15 inf + 980
1554048282.272 * * [simplify]: Extracting #5: cost 1 inf + 3007
1554048282.273 * * [simplify]: Extracting #6: cost 0 inf + 3169
1554048282.274 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
1554048282.274 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.274 * * * * [progress]: [ 128 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.275 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554048282.275 * * [simplify]: iters left: 6 (8 enodes)
1554048282.281 * * [simplify]: iters left: 5 (33 enodes)
1554048282.293 * * [simplify]: iters left: 4 (55 enodes)
1554048282.310 * * [simplify]: iters left: 3 (72 enodes)
1554048282.321 * * [simplify]: iters left: 2 (84 enodes)
1554048282.332 * * [simplify]: iters left: 1 (88 enodes)
1554048282.351 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.351 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048282.351 * * [simplify]: Extracting #2: cost 30 inf + 0
1554048282.352 * * [simplify]: Extracting #3: cost 33 inf + 84
1554048282.352 * * [simplify]: Extracting #4: cost 12 inf + 2402
1554048282.354 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554048282.355 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554048282.355 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.356 * * * * [progress]: [ 129 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.356 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
1554048282.356 * * [simplify]: iters left: 6 (7 enodes)
1554048282.361 * * [simplify]: iters left: 5 (30 enodes)
1554048282.374 * * [simplify]: iters left: 4 (52 enodes)
1554048282.391 * * [simplify]: iters left: 3 (70 enodes)
1554048282.412 * * [simplify]: iters left: 2 (81 enodes)
1554048282.424 * * [simplify]: iters left: 1 (84 enodes)
1554048282.435 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.435 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048282.435 * * [simplify]: Extracting #2: cost 25 inf + 203
1554048282.435 * * [simplify]: Extracting #3: cost 25 inf + 530
1554048282.436 * * [simplify]: Extracting #4: cost 4 inf + 2936
1554048282.436 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554048282.437 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
1554048282.437 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.437 * * * * [progress]: [ 130 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.438 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554048282.438 * * [simplify]: iters left: 6 (8 enodes)
1554048282.441 * * [simplify]: iters left: 5 (33 enodes)
1554048282.453 * * [simplify]: iters left: 4 (55 enodes)
1554048282.471 * * [simplify]: iters left: 3 (72 enodes)
1554048282.491 * * [simplify]: iters left: 2 (84 enodes)
1554048282.516 * * [simplify]: iters left: 1 (88 enodes)
1554048282.539 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.539 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048282.539 * * [simplify]: Extracting #2: cost 30 inf + 0
1554048282.539 * * [simplify]: Extracting #3: cost 33 inf + 44
1554048282.540 * * [simplify]: Extracting #4: cost 12 inf + 2362
1554048282.541 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554048282.543 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554048282.543 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.543 * * * * [progress]: [ 131 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.544 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
1554048282.544 * * [simplify]: iters left: 6 (7 enodes)
1554048282.548 * * [simplify]: iters left: 5 (30 enodes)
1554048282.559 * * [simplify]: iters left: 4 (48 enodes)
1554048282.574 * * [simplify]: iters left: 3 (56 enodes)
1554048282.581 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.581 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048282.581 * * [simplify]: Extracting #2: cost 15 inf + 43
1554048282.581 * * [simplify]: Extracting #3: cost 16 inf + 86
1554048282.581 * * [simplify]: Extracting #4: cost 5 inf + 911
1554048282.582 * * [simplify]: Extracting #5: cost 1 inf + 1198
1554048282.582 * * [simplify]: Extracting #6: cost 0 inf + 1320
1554048282.582 * [simplify]: Simplified to (/ (- 1 k) 2)
1554048282.582 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.583 * * * * [progress]: [ 132 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.583 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
1554048282.583 * * [simplify]: iters left: 6 (7 enodes)
1554048282.585 * * [simplify]: iters left: 5 (30 enodes)
1554048282.590 * * [simplify]: iters left: 4 (52 enodes)
1554048282.598 * * [simplify]: iters left: 3 (70 enodes)
1554048282.611 * * [simplify]: iters left: 2 (81 enodes)
1554048282.636 * * [simplify]: iters left: 1 (84 enodes)
1554048282.658 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.658 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048282.658 * * [simplify]: Extracting #2: cost 25 inf + 123
1554048282.658 * * [simplify]: Extracting #3: cost 25 inf + 330
1554048282.659 * * [simplify]: Extracting #4: cost 4 inf + 2256
1554048282.660 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554048282.661 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
1554048282.661 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.661 * * * * [progress]: [ 133 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.662 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
1554048282.662 * * [simplify]: iters left: 6 (7 enodes)
1554048282.667 * * [simplify]: iters left: 5 (31 enodes)
1554048282.674 * * [simplify]: iters left: 4 (51 enodes)
1554048282.681 * * [simplify]: iters left: 3 (64 enodes)
1554048282.690 * * [simplify]: iters left: 2 (77 enodes)
1554048282.701 * * [simplify]: iters left: 1 (84 enodes)
1554048282.722 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.722 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048282.723 * * [simplify]: Extracting #2: cost 26 inf + 82
1554048282.723 * * [simplify]: Extracting #3: cost 24 inf + 692
1554048282.724 * * [simplify]: Extracting #4: cost 3 inf + 3057
1554048282.725 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554048282.726 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
1554048282.726 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.726 * * * * [progress]: [ 134 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.727 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
1554048282.727 * * [simplify]: iters left: 6 (7 enodes)
1554048282.732 * * [simplify]: iters left: 5 (31 enodes)
1554048282.737 * * [simplify]: iters left: 4 (51 enodes)
1554048282.745 * * [simplify]: iters left: 3 (64 enodes)
1554048282.754 * * [simplify]: iters left: 2 (77 enodes)
1554048282.773 * * [simplify]: iters left: 1 (84 enodes)
1554048282.795 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.795 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048282.795 * * [simplify]: Extracting #2: cost 26 inf + 42
1554048282.796 * * [simplify]: Extracting #3: cost 24 inf + 452
1554048282.796 * * [simplify]: Extracting #4: cost 3 inf + 2337
1554048282.798 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554048282.799 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
1554048282.799 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.799 * * * * [progress]: [ 135 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.800 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554048282.800 * * [simplify]: iters left: 6 (6 enodes)
1554048282.804 * * [simplify]: iters left: 5 (29 enodes)
1554048282.814 * * [simplify]: iters left: 4 (44 enodes)
1554048282.827 * * [simplify]: iters left: 3 (50 enodes)
1554048282.841 * * [simplify]: iters left: 2 (57 enodes)
1554048282.851 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.851 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048282.852 * * [simplify]: Extracting #2: cost 15 inf + 3
1554048282.852 * * [simplify]: Extracting #3: cost 11 inf + 131
1554048282.852 * * [simplify]: Extracting #4: cost 2 inf + 711
1554048282.852 * * [simplify]: Extracting #5: cost 0 inf + 836
1554048282.852 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554048282.852 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.853 * * * * [progress]: [ 136 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.853 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
1554048282.853 * * [simplify]: iters left: 6 (9 enodes)
1554048282.856 * * [simplify]: iters left: 5 (36 enodes)
1554048282.862 * * [simplify]: iters left: 4 (58 enodes)
1554048282.871 * * [simplify]: iters left: 3 (71 enodes)
1554048282.887 * * [simplify]: iters left: 2 (79 enodes)
1554048282.907 * * [simplify]: iters left: 1 (80 enodes)
1554048282.926 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048282.926 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048282.926 * * [simplify]: Extracting #2: cost 24 inf + 0
1554048282.926 * * [simplify]: Extracting #3: cost 29 inf + 2
1554048282.927 * * [simplify]: Extracting #4: cost 10 inf + 2233
1554048282.928 * * [simplify]: Extracting #5: cost 1 inf + 4013
1554048282.930 * * [simplify]: Extracting #6: cost 0 inf + 4135
1554048282.931 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
1554048282.931 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048282.931 * * * * [progress]: [ 137 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048282.932 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
1554048282.932 * * [simplify]: iters left: 6 (10 enodes)
1554048282.939 * * [simplify]: iters left: 5 (39 enodes)
1554048282.952 * * [simplify]: iters left: 4 (64 enodes)
1554048282.971 * * [simplify]: iters left: 3 (86 enodes)
1554048282.991 * * [simplify]: iters left: 2 (99 enodes)
1554048283.004 * * [simplify]: iters left: 1 (104 enodes)
1554048283.016 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.016 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048283.017 * * [simplify]: Extracting #2: cost 31 inf + 0
1554048283.017 * * [simplify]: Extracting #3: cost 39 inf + 2
1554048283.017 * * [simplify]: Extracting #4: cost 22 inf + 1871
1554048283.018 * * [simplify]: Extracting #5: cost 4 inf + 4865
1554048283.019 * * [simplify]: Extracting #6: cost 0 inf + 5675
1554048283.019 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
1554048283.020 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.020 * * * * [progress]: [ 138 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.020 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
1554048283.020 * * [simplify]: iters left: 6 (9 enodes)
1554048283.023 * * [simplify]: iters left: 5 (36 enodes)
1554048283.033 * * [simplify]: iters left: 4 (61 enodes)
1554048283.051 * * [simplify]: iters left: 3 (84 enodes)
1554048283.066 * * [simplify]: iters left: 2 (96 enodes)
1554048283.080 * * [simplify]: iters left: 1 (100 enodes)
1554048283.092 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.092 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048283.092 * * [simplify]: Extracting #2: cost 27 inf + 82
1554048283.092 * * [simplify]: Extracting #3: cost 29 inf + 651
1554048283.093 * * [simplify]: Extracting #4: cost 12 inf + 2763
1554048283.094 * * [simplify]: Extracting #5: cost 1 inf + 4587
1554048283.096 * * [simplify]: Extracting #6: cost 0 inf + 4710
1554048283.097 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
1554048283.097 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.098 * * * * [progress]: [ 139 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.098 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
1554048283.098 * * [simplify]: iters left: 6 (10 enodes)
1554048283.105 * * [simplify]: iters left: 5 (39 enodes)
1554048283.118 * * [simplify]: iters left: 4 (64 enodes)
1554048283.137 * * [simplify]: iters left: 3 (86 enodes)
1554048283.151 * * [simplify]: iters left: 2 (99 enodes)
1554048283.165 * * [simplify]: iters left: 1 (104 enodes)
1554048283.187 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.187 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048283.187 * * [simplify]: Extracting #2: cost 31 inf + 0
1554048283.187 * * [simplify]: Extracting #3: cost 39 inf + 2
1554048283.188 * * [simplify]: Extracting #4: cost 22 inf + 1831
1554048283.188 * * [simplify]: Extracting #5: cost 4 inf + 4785
1554048283.189 * * [simplify]: Extracting #6: cost 0 inf + 5595
1554048283.190 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
1554048283.190 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.190 * * * * [progress]: [ 140 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.191 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
1554048283.191 * * [simplify]: iters left: 6 (9 enodes)
1554048283.194 * * [simplify]: iters left: 5 (36 enodes)
1554048283.200 * * [simplify]: iters left: 4 (57 enodes)
1554048283.209 * * [simplify]: iters left: 3 (73 enodes)
1554048283.219 * * [simplify]: iters left: 2 (80 enodes)
1554048283.234 * * [simplify]: iters left: 1 (81 enodes)
1554048283.244 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.244 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048283.244 * * [simplify]: Extracting #2: cost 18 inf + 43
1554048283.244 * * [simplify]: Extracting #3: cost 23 inf + 85
1554048283.244 * * [simplify]: Extracting #4: cost 9 inf + 1271
1554048283.245 * * [simplify]: Extracting #5: cost 0 inf + 2370
1554048283.245 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554048283.245 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.245 * * * * [progress]: [ 141 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.245 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
1554048283.245 * * [simplify]: iters left: 6 (9 enodes)
1554048283.248 * * [simplify]: iters left: 5 (36 enodes)
1554048283.255 * * [simplify]: iters left: 4 (61 enodes)
1554048283.266 * * [simplify]: iters left: 3 (84 enodes)
1554048283.291 * * [simplify]: iters left: 2 (96 enodes)
1554048283.315 * * [simplify]: iters left: 1 (100 enodes)
1554048283.327 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.327 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048283.327 * * [simplify]: Extracting #2: cost 27 inf + 42
1554048283.327 * * [simplify]: Extracting #3: cost 29 inf + 411
1554048283.327 * * [simplify]: Extracting #4: cost 12 inf + 2163
1554048283.328 * * [simplify]: Extracting #5: cost 1 inf + 3707
1554048283.329 * * [simplify]: Extracting #6: cost 0 inf + 3830
1554048283.330 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
1554048283.330 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.330 * * * * [progress]: [ 142 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.330 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
1554048283.330 * * [simplify]: iters left: 6 (9 enodes)
1554048283.333 * * [simplify]: iters left: 5 (36 enodes)
1554048283.340 * * [simplify]: iters left: 4 (62 enodes)
1554048283.352 * * [simplify]: iters left: 3 (78 enodes)
1554048283.373 * * [simplify]: iters left: 2 (90 enodes)
1554048283.399 * * [simplify]: iters left: 1 (94 enodes)
1554048283.422 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.422 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048283.422 * * [simplify]: Extracting #2: cost 27 inf + 1
1554048283.422 * * [simplify]: Extracting #3: cost 29 inf + 409
1554048283.423 * * [simplify]: Extracting #4: cost 12 inf + 2359
1554048283.424 * * [simplify]: Extracting #5: cost 2 inf + 4022
1554048283.425 * * [simplify]: Extracting #6: cost 0 inf + 4466
1554048283.427 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
1554048283.427 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.427 * * * * [progress]: [ 143 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.428 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
1554048283.428 * * [simplify]: iters left: 6 (9 enodes)
1554048283.434 * * [simplify]: iters left: 5 (36 enodes)
1554048283.447 * * [simplify]: iters left: 4 (62 enodes)
1554048283.464 * * [simplify]: iters left: 3 (78 enodes)
1554048283.475 * * [simplify]: iters left: 2 (90 enodes)
1554048283.486 * * [simplify]: iters left: 1 (94 enodes)
1554048283.502 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.502 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048283.502 * * [simplify]: Extracting #2: cost 27 inf + 1
1554048283.502 * * [simplify]: Extracting #3: cost 29 inf + 249
1554048283.502 * * [simplify]: Extracting #4: cost 12 inf + 1879
1554048283.503 * * [simplify]: Extracting #5: cost 2 inf + 3302
1554048283.504 * * [simplify]: Extracting #6: cost 0 inf + 3666
1554048283.506 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
1554048283.506 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.506 * * * * [progress]: [ 144 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.506 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
1554048283.506 * * [simplify]: iters left: 6 (8 enodes)
1554048283.509 * * [simplify]: iters left: 5 (34 enodes)
1554048283.516 * * [simplify]: iters left: 4 (58 enodes)
1554048283.524 * * [simplify]: iters left: 3 (65 enodes)
1554048283.532 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.532 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048283.532 * * [simplify]: Extracting #2: cost 14 inf + 3
1554048283.532 * * [simplify]: Extracting #3: cost 17 inf + 5
1554048283.532 * * [simplify]: Extracting #4: cost 12 inf + 292
1554048283.532 * * [simplify]: Extracting #5: cost 1 inf + 1355
1554048283.533 * * [simplify]: Extracting #6: cost 0 inf + 1478
1554048283.533 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
1554048283.533 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.533 * * * * [progress]: [ 145 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.533 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
1554048283.533 * * [simplify]: iters left: 6 (8 enodes)
1554048283.536 * * [simplify]: iters left: 5 (33 enodes)
1554048283.542 * * [simplify]: iters left: 4 (52 enodes)
1554048283.550 * * [simplify]: iters left: 3 (62 enodes)
1554048283.559 * * [simplify]: iters left: 2 (67 enodes)
1554048283.568 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.568 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048283.568 * * [simplify]: Extracting #2: cost 23 inf + 0
1554048283.568 * * [simplify]: Extracting #3: cost 24 inf + 285
1554048283.569 * * [simplify]: Extracting #4: cost 18 inf + 975
1554048283.569 * * [simplify]: Extracting #5: cost 7 inf + 2516
1554048283.569 * * [simplify]: Extracting #6: cost 0 inf + 3891
1554048283.570 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
1554048283.570 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.570 * * * * [progress]: [ 146 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.571 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
1554048283.571 * * [simplify]: iters left: 6 (9 enodes)
1554048283.574 * * [simplify]: iters left: 5 (36 enodes)
1554048283.580 * * [simplify]: iters left: 4 (58 enodes)
1554048283.592 * * [simplify]: iters left: 3 (75 enodes)
1554048283.610 * * [simplify]: iters left: 2 (87 enodes)
1554048283.621 * * [simplify]: iters left: 1 (91 enodes)
1554048283.633 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.633 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048283.633 * * [simplify]: Extracting #2: cost 30 inf + 0
1554048283.633 * * [simplify]: Extracting #3: cost 36 inf + 83
1554048283.633 * * [simplify]: Extracting #4: cost 30 inf + 451
1554048283.634 * * [simplify]: Extracting #5: cost 10 inf + 3649
1554048283.635 * * [simplify]: Extracting #6: cost 0 inf + 5431
1554048283.635 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
1554048283.636 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.636 * * * * [progress]: [ 147 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.636 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
1554048283.636 * * [simplify]: iters left: 6 (8 enodes)
1554048283.640 * * [simplify]: iters left: 5 (33 enodes)
1554048283.651 * * [simplify]: iters left: 4 (55 enodes)
1554048283.670 * * [simplify]: iters left: 3 (73 enodes)
1554048283.690 * * [simplify]: iters left: 2 (84 enodes)
1554048283.716 * * [simplify]: iters left: 1 (87 enodes)
1554048283.738 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.738 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048283.738 * * [simplify]: Extracting #2: cost 25 inf + 203
1554048283.739 * * [simplify]: Extracting #3: cost 29 inf + 407
1554048283.739 * * [simplify]: Extracting #4: cost 24 inf + 896
1554048283.740 * * [simplify]: Extracting #5: cost 9 inf + 2805
1554048283.741 * * [simplify]: Extracting #6: cost 0 inf + 4466
1554048283.743 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
1554048283.743 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.744 * * * * [progress]: [ 148 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.744 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
1554048283.744 * * [simplify]: iters left: 6 (9 enodes)
1554048283.749 * * [simplify]: iters left: 5 (36 enodes)
1554048283.762 * * [simplify]: iters left: 4 (58 enodes)
1554048283.771 * * [simplify]: iters left: 3 (75 enodes)
1554048283.782 * * [simplify]: iters left: 2 (87 enodes)
1554048283.803 * * [simplify]: iters left: 1 (91 enodes)
1554048283.829 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.829 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048283.829 * * [simplify]: Extracting #2: cost 30 inf + 0
1554048283.830 * * [simplify]: Extracting #3: cost 36 inf + 43
1554048283.830 * * [simplify]: Extracting #4: cost 30 inf + 451
1554048283.831 * * [simplify]: Extracting #5: cost 10 inf + 3769
1554048283.832 * * [simplify]: Extracting #6: cost 0 inf + 5431
1554048283.834 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
1554048283.834 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.835 * * * * [progress]: [ 149 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.835 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
1554048283.835 * * [simplify]: iters left: 6 (8 enodes)
1554048283.841 * * [simplify]: iters left: 5 (33 enodes)
1554048283.852 * * [simplify]: iters left: 4 (51 enodes)
1554048283.868 * * [simplify]: iters left: 3 (59 enodes)
1554048283.884 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.884 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048283.885 * * [simplify]: Extracting #2: cost 15 inf + 43
1554048283.885 * * [simplify]: Extracting #3: cost 19 inf + 85
1554048283.885 * * [simplify]: Extracting #4: cost 16 inf + 250
1554048283.885 * * [simplify]: Extracting #5: cost 5 inf + 1311
1554048283.886 * * [simplify]: Extracting #6: cost 0 inf + 1962
1554048283.887 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
1554048283.887 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.887 * * * * [progress]: [ 150 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.887 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
1554048283.888 * * [simplify]: iters left: 6 (8 enodes)
1554048283.891 * * [simplify]: iters left: 5 (33 enodes)
1554048283.897 * * [simplify]: iters left: 4 (55 enodes)
1554048283.907 * * [simplify]: iters left: 3 (73 enodes)
1554048283.917 * * [simplify]: iters left: 2 (84 enodes)
1554048283.929 * * [simplify]: iters left: 1 (87 enodes)
1554048283.949 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048283.950 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048283.950 * * [simplify]: Extracting #2: cost 25 inf + 123
1554048283.950 * * [simplify]: Extracting #3: cost 29 inf + 247
1554048283.950 * * [simplify]: Extracting #4: cost 24 inf + 576
1554048283.950 * * [simplify]: Extracting #5: cost 9 inf + 2245
1554048283.951 * * [simplify]: Extracting #6: cost 0 inf + 3666
1554048283.952 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
1554048283.952 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048283.952 * * * * [progress]: [ 151 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048283.952 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
1554048283.952 * * [simplify]: iters left: 6 (8 enodes)
1554048283.955 * * [simplify]: iters left: 5 (34 enodes)
1554048283.961 * * [simplify]: iters left: 4 (54 enodes)
1554048283.969 * * [simplify]: iters left: 3 (67 enodes)
1554048283.980 * * [simplify]: iters left: 2 (80 enodes)
1554048283.991 * * [simplify]: iters left: 1 (87 enodes)
1554048284.009 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.009 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048284.009 * * [simplify]: Extracting #2: cost 25 inf + 203
1554048284.010 * * [simplify]: Extracting #3: cost 26 inf + 773
1554048284.010 * * [simplify]: Extracting #4: cost 24 inf + 896
1554048284.011 * * [simplify]: Extracting #5: cost 8 inf + 3127
1554048284.012 * * [simplify]: Extracting #6: cost 0 inf + 4466
1554048284.013 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
1554048284.013 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.013 * * * * [progress]: [ 152 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.013 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
1554048284.013 * * [simplify]: iters left: 6 (8 enodes)
1554048284.018 * * [simplify]: iters left: 5 (34 enodes)
1554048284.028 * * [simplify]: iters left: 4 (54 enodes)
1554048284.042 * * [simplify]: iters left: 3 (67 enodes)
1554048284.052 * * [simplify]: iters left: 2 (80 enodes)
1554048284.064 * * [simplify]: iters left: 1 (87 enodes)
1554048284.085 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.085 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048284.086 * * [simplify]: Extracting #2: cost 25 inf + 123
1554048284.086 * * [simplify]: Extracting #3: cost 26 inf + 493
1554048284.086 * * [simplify]: Extracting #4: cost 24 inf + 576
1554048284.087 * * [simplify]: Extracting #5: cost 8 inf + 2527
1554048284.088 * * [simplify]: Extracting #6: cost 0 inf + 3666
1554048284.090 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
1554048284.090 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.090 * * * * [progress]: [ 153 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.090 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
1554048284.091 * * [simplify]: iters left: 6 (7 enodes)
1554048284.096 * * [simplify]: iters left: 5 (32 enodes)
1554048284.103 * * [simplify]: iters left: 4 (50 enodes)
1554048284.111 * * [simplify]: iters left: 3 (54 enodes)
1554048284.119 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.119 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048284.119 * * [simplify]: Extracting #2: cost 13 inf + 3
1554048284.119 * * [simplify]: Extracting #3: cost 15 inf + 5
1554048284.119 * * [simplify]: Extracting #4: cost 14 inf + 6
1554048284.120 * * [simplify]: Extracting #5: cost 4 inf + 825
1554048284.120 * * [simplify]: Extracting #6: cost 0 inf + 1234
1554048284.120 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
1554048284.120 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.120 * * * * [progress]: [ 154 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.121 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
1554048284.121 * * [simplify]: iters left: 6 (7 enodes)
1554048284.123 * * [simplify]: iters left: 5 (30 enodes)
1554048284.129 * * [simplify]: iters left: 4 (49 enodes)
1554048284.139 * * [simplify]: iters left: 3 (59 enodes)
1554048284.155 * * [simplify]: iters left: 2 (64 enodes)
1554048284.167 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.167 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048284.167 * * [simplify]: Extracting #2: cost 23 inf + 0
1554048284.168 * * [simplify]: Extracting #3: cost 24 inf + 3
1554048284.168 * * [simplify]: Extracting #4: cost 15 inf + 980
1554048284.168 * * [simplify]: Extracting #5: cost 1 inf + 3007
1554048284.169 * * [simplify]: Extracting #6: cost 0 inf + 3169
1554048284.169 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
1554048284.169 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.169 * * * * [progress]: [ 155 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.170 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554048284.170 * * [simplify]: iters left: 6 (8 enodes)
1554048284.173 * * [simplify]: iters left: 5 (33 enodes)
1554048284.179 * * [simplify]: iters left: 4 (55 enodes)
1554048284.189 * * [simplify]: iters left: 3 (72 enodes)
1554048284.206 * * [simplify]: iters left: 2 (84 enodes)
1554048284.226 * * [simplify]: iters left: 1 (88 enodes)
1554048284.238 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.238 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048284.238 * * [simplify]: Extracting #2: cost 30 inf + 0
1554048284.238 * * [simplify]: Extracting #3: cost 33 inf + 84
1554048284.238 * * [simplify]: Extracting #4: cost 12 inf + 2402
1554048284.239 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554048284.240 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554048284.240 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.240 * * * * [progress]: [ 156 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.240 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
1554048284.240 * * [simplify]: iters left: 6 (7 enodes)
1554048284.243 * * [simplify]: iters left: 5 (30 enodes)
1554048284.250 * * [simplify]: iters left: 4 (52 enodes)
1554048284.265 * * [simplify]: iters left: 3 (70 enodes)
1554048284.276 * * [simplify]: iters left: 2 (81 enodes)
1554048284.287 * * [simplify]: iters left: 1 (84 enodes)
1554048284.298 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.299 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048284.299 * * [simplify]: Extracting #2: cost 25 inf + 203
1554048284.299 * * [simplify]: Extracting #3: cost 25 inf + 530
1554048284.299 * * [simplify]: Extracting #4: cost 4 inf + 2936
1554048284.300 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554048284.300 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
1554048284.300 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.301 * * * * [progress]: [ 157 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.301 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
1554048284.301 * * [simplify]: iters left: 6 (8 enodes)
1554048284.306 * * [simplify]: iters left: 5 (33 enodes)
1554048284.318 * * [simplify]: iters left: 4 (55 enodes)
1554048284.337 * * [simplify]: iters left: 3 (72 enodes)
1554048284.360 * * [simplify]: iters left: 2 (84 enodes)
1554048284.374 * * [simplify]: iters left: 1 (88 enodes)
1554048284.386 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.386 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048284.386 * * [simplify]: Extracting #2: cost 30 inf + 0
1554048284.386 * * [simplify]: Extracting #3: cost 33 inf + 44
1554048284.387 * * [simplify]: Extracting #4: cost 12 inf + 2362
1554048284.388 * * [simplify]: Extracting #5: cost 0 inf + 4469
1554048284.388 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
1554048284.389 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.389 * * * * [progress]: [ 158 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.389 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
1554048284.389 * * [simplify]: iters left: 6 (7 enodes)
1554048284.392 * * [simplify]: iters left: 5 (30 enodes)
1554048284.402 * * [simplify]: iters left: 4 (48 enodes)
1554048284.415 * * [simplify]: iters left: 3 (56 enodes)
1554048284.434 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.434 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048284.434 * * [simplify]: Extracting #2: cost 15 inf + 43
1554048284.434 * * [simplify]: Extracting #3: cost 16 inf + 86
1554048284.434 * * [simplify]: Extracting #4: cost 5 inf + 911
1554048284.434 * * [simplify]: Extracting #5: cost 1 inf + 1198
1554048284.435 * * [simplify]: Extracting #6: cost 0 inf + 1320
1554048284.435 * [simplify]: Simplified to (/ (- 1 k) 2)
1554048284.435 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.435 * * * * [progress]: [ 159 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.435 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
1554048284.435 * * [simplify]: iters left: 6 (7 enodes)
1554048284.438 * * [simplify]: iters left: 5 (30 enodes)
1554048284.444 * * [simplify]: iters left: 4 (52 enodes)
1554048284.452 * * [simplify]: iters left: 3 (70 enodes)
1554048284.470 * * [simplify]: iters left: 2 (81 enodes)
1554048284.493 * * [simplify]: iters left: 1 (84 enodes)
1554048284.515 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.515 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048284.515 * * [simplify]: Extracting #2: cost 25 inf + 123
1554048284.515 * * [simplify]: Extracting #3: cost 25 inf + 330
1554048284.516 * * [simplify]: Extracting #4: cost 4 inf + 2256
1554048284.517 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554048284.518 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
1554048284.518 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.518 * * * * [progress]: [ 160 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.519 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
1554048284.519 * * [simplify]: iters left: 6 (7 enodes)
1554048284.523 * * [simplify]: iters left: 5 (31 enodes)
1554048284.535 * * [simplify]: iters left: 4 (51 enodes)
1554048284.552 * * [simplify]: iters left: 3 (64 enodes)
1554048284.562 * * [simplify]: iters left: 2 (77 enodes)
1554048284.573 * * [simplify]: iters left: 1 (84 enodes)
1554048284.588 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.588 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048284.589 * * [simplify]: Extracting #2: cost 26 inf + 82
1554048284.589 * * [simplify]: Extracting #3: cost 24 inf + 692
1554048284.590 * * [simplify]: Extracting #4: cost 3 inf + 3057
1554048284.591 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554048284.592 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
1554048284.592 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.593 * * * * [progress]: [ 161 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.593 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
1554048284.593 * * [simplify]: iters left: 6 (7 enodes)
1554048284.600 * * [simplify]: iters left: 5 (31 enodes)
1554048284.612 * * [simplify]: iters left: 4 (51 enodes)
1554048284.629 * * [simplify]: iters left: 3 (64 enodes)
1554048284.648 * * [simplify]: iters left: 2 (77 enodes)
1554048284.669 * * [simplify]: iters left: 1 (84 enodes)
1554048284.692 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.692 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048284.692 * * [simplify]: Extracting #2: cost 26 inf + 42
1554048284.692 * * [simplify]: Extracting #3: cost 24 inf + 452
1554048284.693 * * [simplify]: Extracting #4: cost 3 inf + 2337
1554048284.694 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554048284.696 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
1554048284.696 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.696 * * * * [progress]: [ 162 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.696 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554048284.696 * * [simplify]: iters left: 6 (6 enodes)
1554048284.702 * * [simplify]: iters left: 5 (29 enodes)
1554048284.712 * * [simplify]: iters left: 4 (44 enodes)
1554048284.724 * * [simplify]: iters left: 3 (50 enodes)
1554048284.732 * * [simplify]: iters left: 2 (57 enodes)
1554048284.742 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.742 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048284.742 * * [simplify]: Extracting #2: cost 15 inf + 3
1554048284.742 * * [simplify]: Extracting #3: cost 11 inf + 131
1554048284.742 * * [simplify]: Extracting #4: cost 2 inf + 711
1554048284.743 * * [simplify]: Extracting #5: cost 0 inf + 836
1554048284.743 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554048284.743 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.743 * * * * [progress]: [ 163 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.743 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
1554048284.743 * * [simplify]: iters left: 6 (7 enodes)
1554048284.746 * * [simplify]: iters left: 5 (31 enodes)
1554048284.755 * * [simplify]: iters left: 4 (51 enodes)
1554048284.771 * * [simplify]: iters left: 3 (64 enodes)
1554048284.790 * * [simplify]: iters left: 2 (77 enodes)
1554048284.812 * * [simplify]: iters left: 1 (84 enodes)
1554048284.834 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.834 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048284.835 * * [simplify]: Extracting #2: cost 26 inf + 82
1554048284.835 * * [simplify]: Extracting #3: cost 24 inf + 692
1554048284.836 * * [simplify]: Extracting #4: cost 3 inf + 3057
1554048284.837 * * [simplify]: Extracting #5: cost 0 inf + 3504
1554048284.838 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
1554048284.838 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.838 * * * * [progress]: [ 164 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.839 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
1554048284.839 * * [simplify]: iters left: 6 (7 enodes)
1554048284.845 * * [simplify]: iters left: 5 (31 enodes)
1554048284.856 * * [simplify]: iters left: 4 (51 enodes)
1554048284.872 * * [simplify]: iters left: 3 (64 enodes)
1554048284.895 * * [simplify]: iters left: 2 (77 enodes)
1554048284.911 * * [simplify]: iters left: 1 (84 enodes)
1554048284.923 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.923 * * [simplify]: Extracting #1: cost 11 inf + 0
1554048284.923 * * [simplify]: Extracting #2: cost 26 inf + 42
1554048284.923 * * [simplify]: Extracting #3: cost 24 inf + 452
1554048284.924 * * [simplify]: Extracting #4: cost 3 inf + 2337
1554048284.924 * * [simplify]: Extracting #5: cost 0 inf + 2704
1554048284.925 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
1554048284.925 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.925 * * * * [progress]: [ 165 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.925 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554048284.926 * * [simplify]: iters left: 6 (6 enodes)
1554048284.928 * * [simplify]: iters left: 5 (29 enodes)
1554048284.934 * * [simplify]: iters left: 4 (44 enodes)
1554048284.941 * * [simplify]: iters left: 3 (50 enodes)
1554048284.956 * * [simplify]: iters left: 2 (57 enodes)
1554048284.972 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.972 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048284.973 * * [simplify]: Extracting #2: cost 15 inf + 3
1554048284.973 * * [simplify]: Extracting #3: cost 11 inf + 131
1554048284.973 * * [simplify]: Extracting #4: cost 2 inf + 711
1554048284.974 * * [simplify]: Extracting #5: cost 0 inf + 836
1554048284.974 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554048284.974 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.974 * * * * [progress]: [ 166 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.975 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
1554048284.975 * * [simplify]: iters left: 4 (5 enodes)
1554048284.979 * * [simplify]: iters left: 3 (20 enodes)
1554048284.984 * * [simplify]: iters left: 2 (27 enodes)
1554048284.989 * * [simplify]: iters left: 1 (29 enodes)
1554048284.994 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048284.994 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048284.994 * * [simplify]: Extracting #2: cost 4 inf + 449
1554048284.994 * * [simplify]: Extracting #3: cost 0 inf + 895
1554048284.994 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
1554048284.994 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048284.994 * * * * [progress]: [ 167 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048284.994 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
1554048284.994 * * [simplify]: iters left: 4 (5 enodes)
1554048284.999 * * [simplify]: iters left: 3 (20 enodes)
1554048285.003 * * [simplify]: iters left: 2 (27 enodes)
1554048285.007 * * [simplify]: iters left: 1 (29 enodes)
1554048285.012 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048285.012 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048285.012 * * [simplify]: Extracting #2: cost 4 inf + 289
1554048285.012 * * [simplify]: Extracting #3: cost 0 inf + 575
1554048285.012 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
1554048285.012 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048285.013 * * * * [progress]: [ 168 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.013 * [simplify]: Simplifying (/ (/ 1 2) 2)
1554048285.013 * * [simplify]: iters left: 4 (4 enodes)
1554048285.018 * * [simplify]: iters left: 3 (19 enodes)
1554048285.024 * * [simplify]: iters left: 2 (23 enodes)
1554048285.031 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048285.032 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048285.032 * [simplify]: Simplified to 1/4
1554048285.032 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048285.032 * * * * [progress]: [ 169 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.032 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
1554048285.032 * * [simplify]: iters left: 6 (6 enodes)
1554048285.037 * * [simplify]: iters left: 5 (29 enodes)
1554048285.048 * * [simplify]: iters left: 4 (44 enodes)
1554048285.060 * * [simplify]: iters left: 3 (50 enodes)
1554048285.068 * * [simplify]: iters left: 2 (57 enodes)
1554048285.076 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048285.076 * * [simplify]: Extracting #1: cost 9 inf + 0
1554048285.076 * * [simplify]: Extracting #2: cost 15 inf + 3
1554048285.077 * * [simplify]: Extracting #3: cost 11 inf + 131
1554048285.077 * * [simplify]: Extracting #4: cost 2 inf + 711
1554048285.077 * * [simplify]: Extracting #5: cost 0 inf + 836
1554048285.077 * [simplify]: Simplified to (- 1/4 (/ k 4))
1554048285.077 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048285.077 * * * * [progress]: [ 170 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.078 * [simplify]: Simplifying (/ 1 2)
1554048285.078 * * [simplify]: iters left: 2 (3 enodes)
1554048285.079 * * [simplify]: iters left: 1 (12 enodes)
1554048285.082 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048285.082 * * [simplify]: Extracting #1: cost 0 inf + 1
1554048285.082 * [simplify]: Simplified to 1/2
1554048285.082 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048285.082 * * * * [progress]: [ 171 / 234 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.082 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
1554048285.082 * * [simplify]: iters left: 6 (8 enodes)
1554048285.085 * * [simplify]: iters left: 5 (38 enodes)
1554048285.099 * * [simplify]: iters left: 4 (66 enodes)
1554048285.114 * * [simplify]: iters left: 3 (110 enodes)
1554048285.134 * * [simplify]: iters left: 2 (200 enodes)
1554048285.209 * * [simplify]: iters left: 1 (403 enodes)
1554048285.379 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048285.379 * * [simplify]: Extracting #1: cost 26 inf + 0
1554048285.380 * * [simplify]: Extracting #2: cost 100 inf + 2
1554048285.381 * * [simplify]: Extracting #3: cost 164 inf + 10
1554048285.383 * * [simplify]: Extracting #4: cost 163 inf + 641
1554048285.388 * * [simplify]: Extracting #5: cost 72 inf + 12998
1554048285.399 * * [simplify]: Extracting #6: cost 25 inf + 35040
1554048285.419 * * [simplify]: Extracting #7: cost 0 inf + 54806
1554048285.432 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
1554048285.432 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048285.432 * * * * [progress]: [ 172 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.432 * * * * [progress]: [ 173 / 234 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.432 * * * * [progress]: [ 174 / 234 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.432 * * * * [progress]: [ 175 / 234 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.432 * * * * [progress]: [ 176 / 234 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.432 * * * * [progress]: [ 177 / 234 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.432 * * * * [progress]: [ 178 / 234 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.432 * * * * [progress]: [ 179 / 234 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.432 * * * * [progress]: [ 180 / 234 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.432 * * * * [progress]: [ 181 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (log1p (expm1 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.432 * * * * [progress]: [ 182 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (expm1 (log1p (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.432 * * * * [progress]: [ 183 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.432 * [simplify]: Simplifying (* n (* 2 PI))
1554048285.433 * * [simplify]: iters left: 4 (5 enodes)
1554048285.434 * * [simplify]: iters left: 3 (19 enodes)
1554048285.437 * * [simplify]: iters left: 2 (27 enodes)
1554048285.442 * * [simplify]: iters left: 1 (32 enodes)
1554048285.446 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048285.446 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048285.446 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048285.446 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048285.446 * [simplify]: Simplified to (* (* PI 2) n)
1554048285.446 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048285.447 * * * * [progress]: [ 184 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.447 * [simplify]: Simplifying (* n (* 2 PI))
1554048285.447 * * [simplify]: iters left: 4 (5 enodes)
1554048285.448 * * [simplify]: iters left: 3 (19 enodes)
1554048285.452 * * [simplify]: iters left: 2 (27 enodes)
1554048285.456 * * [simplify]: iters left: 1 (32 enodes)
1554048285.464 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048285.464 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048285.464 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048285.464 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048285.464 * [simplify]: Simplified to (* (* PI 2) n)
1554048285.465 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048285.465 * * * * [progress]: [ 185 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.465 * * * * [progress]: [ 186 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.465 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
1554048285.465 * * [simplify]: iters left: 5 (8 enodes)
1554048285.470 * * [simplify]: iters left: 4 (28 enodes)
1554048285.478 * * [simplify]: iters left: 3 (36 enodes)
1554048285.490 * * [simplify]: iters left: 2 (42 enodes)
1554048285.501 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048285.501 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048285.501 * * [simplify]: Extracting #2: cost 17 inf + 0
1554048285.501 * * [simplify]: Extracting #3: cost 12 inf + 145
1554048285.501 * * [simplify]: Extracting #4: cost 5 inf + 1197
1554048285.502 * * [simplify]: Extracting #5: cost 1 inf + 1925
1554048285.502 * * [simplify]: Extracting #6: cost 0 inf + 2107
1554048285.503 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
1554048285.503 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048285.503 * * * * [progress]: [ 187 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.504 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
1554048285.504 * * [simplify]: iters left: 5 (7 enodes)
1554048285.508 * * [simplify]: iters left: 4 (26 enodes)
1554048285.516 * * [simplify]: iters left: 3 (35 enodes)
1554048285.526 * * [simplify]: iters left: 2 (44 enodes)
1554048285.539 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048285.539 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048285.539 * * [simplify]: Extracting #2: cost 18 inf + 0
1554048285.539 * * [simplify]: Extracting #3: cost 15 inf + 74
1554048285.540 * * [simplify]: Extracting #4: cost 8 inf + 554
1554048285.540 * * [simplify]: Extracting #5: cost 0 inf + 1911
1554048285.541 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
1554048285.541 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048285.541 * * * * [progress]: [ 188 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (exp (log (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.541 * * * * [progress]: [ 189 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (log (exp (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.541 * * * * [progress]: [ 190 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.541 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
1554048285.542 * * [simplify]: iters left: 6 (11 enodes)
1554048285.552 * * [simplify]: iters left: 5 (48 enodes)
1554048285.571 * * [simplify]: iters left: 4 (121 enodes)
1554048285.629 * * [simplify]: iters left: 3 (348 enodes)
1554048285.828 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048285.828 * * [simplify]: Extracting #1: cost 67 inf + 0
1554048285.829 * * [simplify]: Extracting #2: cost 165 inf + 786
1554048285.832 * * [simplify]: Extracting #3: cost 85 inf + 10177
1554048285.838 * * [simplify]: Extracting #4: cost 9 inf + 26399
1554048285.848 * * [simplify]: Extracting #5: cost 0 inf + 28546
1554048285.859 * * [simplify]: Extracting #6: cost 0 inf + 28506
1554048285.866 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
1554048285.866 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048285.866 * * * * [progress]: [ 191 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048285.866 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
1554048285.866 * * [simplify]: iters left: 6 (9 enodes)
1554048285.869 * * [simplify]: iters left: 5 (45 enodes)
1554048285.879 * * [simplify]: iters left: 4 (117 enodes)
1554048285.924 * * [simplify]: iters left: 3 (374 enodes)
1554048286.214 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048286.214 * * [simplify]: Extracting #1: cost 77 inf + 0
1554048286.216 * * [simplify]: Extracting #2: cost 184 inf + 984
1554048286.223 * * [simplify]: Extracting #3: cost 106 inf + 11690
1554048286.241 * * [simplify]: Extracting #4: cost 6 inf + 30376
1554048286.258 * * [simplify]: Extracting #5: cost 0 inf + 31644
1554048286.267 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
1554048286.267 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048286.267 * * * * [progress]: [ 192 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.267 * * * * [progress]: [ 193 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.267 * * * * [progress]: [ 194 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.267 * * * * [progress]: [ 195 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.267 * * * * [progress]: [ 196 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.267 * * * * [progress]: [ 197 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.267 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
1554048286.267 * * [simplify]: iters left: 3 (3 enodes)
1554048286.268 * * [simplify]: iters left: 2 (9 enodes)
1554048286.269 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048286.269 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048286.269 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048286.270 * * [simplify]: Extracting #3: cost 4 inf + 1
1554048286.270 * * [simplify]: Extracting #4: cost 0 inf + 405
1554048286.270 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
1554048286.270 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048286.270 * * * * [progress]: [ 198 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.270 * [simplify]: Simplifying (sqrt n)
1554048286.270 * * [simplify]: iters left: 1 (2 enodes)
1554048286.270 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048286.270 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048286.270 * * [simplify]: Extracting #2: cost 2 inf + 1
1554048286.271 * * [simplify]: Extracting #3: cost 0 inf + 83
1554048286.271 * [simplify]: Simplified to (sqrt n)
1554048286.271 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048286.271 * * * * [progress]: [ 199 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.271 * * * * [progress]: [ 200 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.271 * * * * [progress]: [ 201 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.271 * * * * [progress]: [ 202 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (log1p (expm1 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.271 * * * * [progress]: [ 203 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (expm1 (log1p (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.271 * * * * [progress]: [ 204 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.271 * [simplify]: Simplifying (* n (* 2 PI))
1554048286.271 * * [simplify]: iters left: 4 (5 enodes)
1554048286.273 * * [simplify]: iters left: 3 (19 enodes)
1554048286.276 * * [simplify]: iters left: 2 (27 enodes)
1554048286.284 * * [simplify]: iters left: 1 (32 enodes)
1554048286.298 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048286.298 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048286.298 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048286.298 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048286.298 * [simplify]: Simplified to (* (* PI 2) n)
1554048286.299 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048286.299 * * * * [progress]: [ 205 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.299 * [simplify]: Simplifying (* n (* 2 PI))
1554048286.299 * * [simplify]: iters left: 4 (5 enodes)
1554048286.302 * * [simplify]: iters left: 3 (19 enodes)
1554048286.308 * * [simplify]: iters left: 2 (27 enodes)
1554048286.316 * * [simplify]: iters left: 1 (32 enodes)
1554048286.325 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048286.325 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048286.325 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048286.325 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048286.325 * [simplify]: Simplified to (* (* PI 2) n)
1554048286.325 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048286.326 * * * * [progress]: [ 206 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.326 * * * * [progress]: [ 207 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.326 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
1554048286.326 * * [simplify]: iters left: 5 (8 enodes)
1554048286.330 * * [simplify]: iters left: 4 (28 enodes)
1554048286.339 * * [simplify]: iters left: 3 (36 enodes)
1554048286.350 * * [simplify]: iters left: 2 (42 enodes)
1554048286.356 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048286.356 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048286.356 * * [simplify]: Extracting #2: cost 17 inf + 0
1554048286.356 * * [simplify]: Extracting #3: cost 12 inf + 145
1554048286.356 * * [simplify]: Extracting #4: cost 5 inf + 1197
1554048286.356 * * [simplify]: Extracting #5: cost 1 inf + 1925
1554048286.356 * * [simplify]: Extracting #6: cost 0 inf + 2107
1554048286.357 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
1554048286.357 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048286.357 * * * * [progress]: [ 208 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.357 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
1554048286.357 * * [simplify]: iters left: 5 (7 enodes)
1554048286.359 * * [simplify]: iters left: 4 (26 enodes)
1554048286.363 * * [simplify]: iters left: 3 (35 enodes)
1554048286.369 * * [simplify]: iters left: 2 (44 enodes)
1554048286.375 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048286.375 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048286.375 * * [simplify]: Extracting #2: cost 18 inf + 0
1554048286.375 * * [simplify]: Extracting #3: cost 15 inf + 74
1554048286.375 * * [simplify]: Extracting #4: cost 8 inf + 554
1554048286.375 * * [simplify]: Extracting #5: cost 0 inf + 1911
1554048286.376 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
1554048286.376 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048286.376 * * * * [progress]: [ 209 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (exp (log (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.376 * * * * [progress]: [ 210 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (log (exp (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.376 * * * * [progress]: [ 211 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.376 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
1554048286.376 * * [simplify]: iters left: 6 (11 enodes)
1554048286.384 * * [simplify]: iters left: 5 (48 enodes)
1554048286.403 * * [simplify]: iters left: 4 (121 enodes)
1554048286.451 * * [simplify]: iters left: 3 (348 enodes)
1554048286.652 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048286.652 * * [simplify]: Extracting #1: cost 67 inf + 0
1554048286.658 * * [simplify]: Extracting #2: cost 165 inf + 786
1554048286.663 * * [simplify]: Extracting #3: cost 85 inf + 10177
1554048286.674 * * [simplify]: Extracting #4: cost 9 inf + 26399
1554048286.681 * * [simplify]: Extracting #5: cost 0 inf + 28546
1554048286.687 * * [simplify]: Extracting #6: cost 0 inf + 28506
1554048286.694 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
1554048286.694 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048286.694 * * * * [progress]: [ 212 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048286.694 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
1554048286.694 * * [simplify]: iters left: 6 (9 enodes)
1554048286.698 * * [simplify]: iters left: 5 (45 enodes)
1554048286.707 * * [simplify]: iters left: 4 (117 enodes)
1554048286.757 * * [simplify]: iters left: 3 (374 enodes)
1554048287.066 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048287.066 * * [simplify]: Extracting #1: cost 77 inf + 0
1554048287.067 * * [simplify]: Extracting #2: cost 184 inf + 984
1554048287.071 * * [simplify]: Extracting #3: cost 106 inf + 11690
1554048287.079 * * [simplify]: Extracting #4: cost 6 inf + 30376
1554048287.088 * * [simplify]: Extracting #5: cost 0 inf + 31644
1554048287.106 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
1554048287.106 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048287.107 * * * * [progress]: [ 213 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048287.107 * * * * [progress]: [ 214 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048287.107 * * * * [progress]: [ 215 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048287.107 * * * * [progress]: [ 216 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048287.107 * * * * [progress]: [ 217 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048287.107 * * * * [progress]: [ 218 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048287.107 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
1554048287.107 * * [simplify]: iters left: 3 (3 enodes)
1554048287.109 * * [simplify]: iters left: 2 (9 enodes)
1554048287.111 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048287.111 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048287.111 * * [simplify]: Extracting #2: cost 5 inf + 0
1554048287.111 * * [simplify]: Extracting #3: cost 4 inf + 1
1554048287.111 * * [simplify]: Extracting #4: cost 0 inf + 405
1554048287.111 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
1554048287.111 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048287.112 * * * * [progress]: [ 219 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048287.112 * [simplify]: Simplifying (sqrt n)
1554048287.112 * * [simplify]: iters left: 1 (2 enodes)
1554048287.113 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048287.113 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048287.113 * * [simplify]: Extracting #2: cost 2 inf + 1
1554048287.113 * * [simplify]: Extracting #3: cost 0 inf + 83
1554048287.113 * [simplify]: Simplified to (sqrt n)
1554048287.113 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048287.113 * * * * [progress]: [ 220 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048287.113 * * * * [progress]: [ 221 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048287.113 * * * * [progress]: [ 222 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048287.113 * * * * [progress]: [ 223 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (pow k -1/2))))>
1554048287.114 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
1554048287.114 * * [simplify]: iters left: 6 (37 enodes)
1554048287.137 * * [simplify]: iters left: 5 (193 enodes)
1554048287.205 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048287.205 * * [simplify]: Extracting #1: cost 22 inf + 0
1554048287.206 * * [simplify]: Extracting #2: cost 104 inf + 1
1554048287.206 * * [simplify]: Extracting #3: cost 170 inf + 88
1554048287.207 * * [simplify]: Extracting #4: cost 195 inf + 509
1554048287.209 * * [simplify]: Extracting #5: cost 136 inf + 15293
1554048287.217 * * [simplify]: Extracting #6: cost 47 inf + 48666
1554048287.234 * * [simplify]: Extracting #7: cost 3 inf + 79281
1554048287.262 * * [simplify]: Extracting #8: cost 0 inf + 80934
1554048287.279 * * [simplify]: Extracting #9: cost 0 inf + 80864
1554048287.308 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))))))
1554048287.308 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) (pow k -1/2))))
1554048287.309 * * * * [progress]: [ 224 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k -1/2))))>
1554048287.309 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554048287.310 * * [simplify]: iters left: 6 (15 enodes)
1554048287.318 * * [simplify]: iters left: 5 (65 enodes)
1554048287.329 * * [simplify]: iters left: 4 (123 enodes)
1554048287.359 * * [simplify]: iters left: 3 (366 enodes)
1554048287.571 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048287.571 * * [simplify]: Extracting #1: cost 37 inf + 0
1554048287.572 * * [simplify]: Extracting #2: cost 212 inf + 143
1554048287.575 * * [simplify]: Extracting #3: cost 347 inf + 1812
1554048287.585 * * [simplify]: Extracting #4: cost 207 inf + 31167
1554048287.618 * * [simplify]: Extracting #5: cost 25 inf + 82567
1554048287.641 * * [simplify]: Extracting #6: cost 0 inf + 89048
1554048287.657 * * [simplify]: Extracting #7: cost 0 inf + 88844
1554048287.683 * * [simplify]: Extracting #8: cost 0 inf + 88842
1554048287.716 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))
1554048287.716 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) (pow k -1/2))))
1554048287.716 * * * * [progress]: [ 225 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k -1/2))))>
1554048287.716 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554048287.716 * * [simplify]: iters left: 6 (16 enodes)
1554048287.728 * * [simplify]: iters left: 5 (67 enodes)
1554048287.753 * * [simplify]: iters left: 4 (134 enodes)
1554048287.816 * * [simplify]: iters left: 3 (412 enodes)
1554048288.032 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048288.032 * * [simplify]: Extracting #1: cost 39 inf + 0
1554048288.032 * * [simplify]: Extracting #2: cost 241 inf + 72
1554048288.034 * * [simplify]: Extracting #3: cost 448 inf + 1069
1554048288.043 * * [simplify]: Extracting #4: cost 308 inf + 32324
1554048288.076 * * [simplify]: Extracting #5: cost 42 inf + 110073
1554048288.099 * * [simplify]: Extracting #6: cost 0 inf + 122155
1554048288.144 * * [simplify]: Extracting #7: cost 0 inf + 121985
1554048288.168 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1554048288.168 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k -1/2))))
1554048288.168 * * * * [progress]: [ 226 / 234 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048288.168 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
1554048288.168 * * [simplify]: iters left: 6 (37 enodes)
1554048288.188 * * [simplify]: iters left: 5 (193 enodes)
1554048288.248 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048288.248 * * [simplify]: Extracting #1: cost 22 inf + 0
1554048288.248 * * [simplify]: Extracting #2: cost 104 inf + 1
1554048288.249 * * [simplify]: Extracting #3: cost 170 inf + 88
1554048288.251 * * [simplify]: Extracting #4: cost 195 inf + 509
1554048288.255 * * [simplify]: Extracting #5: cost 136 inf + 15293
1554048288.270 * * [simplify]: Extracting #6: cost 47 inf + 48666
1554048288.299 * * [simplify]: Extracting #7: cost 3 inf + 79281
1554048288.334 * * [simplify]: Extracting #8: cost 0 inf + 80934
1554048288.351 * * [simplify]: Extracting #9: cost 0 inf + 80864
1554048288.369 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))))))
1554048288.369 * [simplify]: Simplified (2 1) to (λ (k n) (* (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048288.369 * * * * [progress]: [ 227 / 234 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048288.369 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1554048288.369 * * [simplify]: iters left: 6 (15 enodes)
1554048288.377 * * [simplify]: iters left: 5 (65 enodes)
1554048288.393 * * [simplify]: iters left: 4 (123 enodes)
1554048288.430 * * [simplify]: iters left: 3 (366 enodes)
1554048288.601 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048288.601 * * [simplify]: Extracting #1: cost 37 inf + 0
1554048288.602 * * [simplify]: Extracting #2: cost 212 inf + 143
1554048288.605 * * [simplify]: Extracting #3: cost 347 inf + 1812
1554048288.615 * * [simplify]: Extracting #4: cost 207 inf + 31167
1554048288.629 * * [simplify]: Extracting #5: cost 25 inf + 82567
1554048288.652 * * [simplify]: Extracting #6: cost 0 inf + 89048
1554048288.671 * * [simplify]: Extracting #7: cost 0 inf + 88844
1554048288.689 * * [simplify]: Extracting #8: cost 0 inf + 88842
1554048288.713 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))
1554048288.713 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048288.714 * * * * [progress]: [ 228 / 234 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048288.714 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1554048288.714 * * [simplify]: iters left: 6 (16 enodes)
1554048288.720 * * [simplify]: iters left: 5 (67 enodes)
1554048288.734 * * [simplify]: iters left: 4 (134 enodes)
1554048288.773 * * [simplify]: iters left: 3 (412 enodes)
1554048289.025 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048289.025 * * [simplify]: Extracting #1: cost 39 inf + 0
1554048289.027 * * [simplify]: Extracting #2: cost 241 inf + 72
1554048289.035 * * [simplify]: Extracting #3: cost 448 inf + 1069
1554048289.046 * * [simplify]: Extracting #4: cost 308 inf + 32324
1554048289.082 * * [simplify]: Extracting #5: cost 42 inf + 110073
1554048289.127 * * [simplify]: Extracting #6: cost 0 inf + 122155
1554048289.173 * * [simplify]: Extracting #7: cost 0 inf + 121985
1554048289.221 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1554048289.221 * [simplify]: Simplified (2 1) to (λ (k n) (* (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048289.221 * * * * [progress]: [ 229 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048289.221 * [simplify]: Simplifying (* 2 (* n PI))
1554048289.221 * * [simplify]: iters left: 4 (5 enodes)
1554048289.223 * * [simplify]: iters left: 3 (19 enodes)
1554048289.226 * * [simplify]: iters left: 2 (27 enodes)
1554048289.230 * * [simplify]: iters left: 1 (32 enodes)
1554048289.234 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048289.234 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048289.234 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048289.235 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048289.235 * [simplify]: Simplified to (* (* PI n) 2)
1554048289.235 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048289.235 * * * * [progress]: [ 230 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048289.235 * [simplify]: Simplifying (* 2 (* n PI))
1554048289.235 * * [simplify]: iters left: 4 (5 enodes)
1554048289.237 * * [simplify]: iters left: 3 (19 enodes)
1554048289.240 * * [simplify]: iters left: 2 (27 enodes)
1554048289.244 * * [simplify]: iters left: 1 (32 enodes)
1554048289.247 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048289.248 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048289.248 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048289.248 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048289.248 * [simplify]: Simplified to (* (* PI n) 2)
1554048289.248 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048289.248 * * * * [progress]: [ 231 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048289.248 * [simplify]: Simplifying (* 2 (* n PI))
1554048289.248 * * [simplify]: iters left: 4 (5 enodes)
1554048289.250 * * [simplify]: iters left: 3 (19 enodes)
1554048289.253 * * [simplify]: iters left: 2 (27 enodes)
1554048289.257 * * [simplify]: iters left: 1 (32 enodes)
1554048289.264 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048289.265 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048289.265 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048289.265 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048289.265 * [simplify]: Simplified to (* (* PI n) 2)
1554048289.265 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048289.266 * * * * [progress]: [ 232 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048289.266 * [simplify]: Simplifying (* 2 (* n PI))
1554048289.266 * * [simplify]: iters left: 4 (5 enodes)
1554048289.269 * * [simplify]: iters left: 3 (19 enodes)
1554048289.275 * * [simplify]: iters left: 2 (27 enodes)
1554048289.283 * * [simplify]: iters left: 1 (32 enodes)
1554048289.291 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048289.291 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048289.291 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048289.292 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048289.292 * [simplify]: Simplified to (* (* PI n) 2)
1554048289.292 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048289.292 * * * * [progress]: [ 233 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048289.292 * [simplify]: Simplifying (* 2 (* n PI))
1554048289.292 * * [simplify]: iters left: 4 (5 enodes)
1554048289.295 * * [simplify]: iters left: 3 (19 enodes)
1554048289.303 * * [simplify]: iters left: 2 (27 enodes)
1554048289.311 * * [simplify]: iters left: 1 (32 enodes)
1554048289.319 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048289.319 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048289.319 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048289.319 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048289.320 * [simplify]: Simplified to (* (* PI n) 2)
1554048289.320 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048289.320 * * * * [progress]: [ 234 / 234 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))>
1554048289.320 * [simplify]: Simplifying (* 2 (* n PI))
1554048289.320 * * [simplify]: iters left: 4 (5 enodes)
1554048289.323 * * [simplify]: iters left: 3 (19 enodes)
1554048289.329 * * [simplify]: iters left: 2 (27 enodes)
1554048289.337 * * [simplify]: iters left: 1 (32 enodes)
1554048289.345 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048289.345 * * [simplify]: Extracting #1: cost 8 inf + 0
1554048289.345 * * [simplify]: Extracting #2: cost 7 inf + 45
1554048289.346 * * [simplify]: Extracting #3: cost 0 inf + 421
1554048289.346 * [simplify]: Simplified to (* (* PI n) 2)
1554048289.346 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))
1554048289.346 * * * [progress]: adding candidates to table
1554048292.769 * [progress]: [Phase 3 of 3] Extracting.
1554048292.769 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))))> #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (/ -1/2 2))) (pow k (/ -1/2 2))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>)
1554048292.771 * * * [regime-changes]: Trying 2 branch expressions: (n k)
1554048292.771 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))))> #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (/ -1/2 2))) (pow k (/ -1/2 2))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>)
1554048292.823 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2)))))> #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))> #<alt (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (/ -1/2 2))) (pow k (/ -1/2 2))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))))>)
1554048292.893 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
1554048292.893 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2)))
1554048292.893 * * [simplify]: iters left: 6 (15 enodes)
1554048292.895 * * [simplify]: iters left: 5 (21 enodes)
1554048292.896 * * [simplify]: Extracting #0: cost 1 inf + 0
1554048292.896 * * [simplify]: Extracting #1: cost 3 inf + 0
1554048292.896 * * [simplify]: Extracting #2: cost 6 inf + 0
1554048292.896 * * [simplify]: Extracting #3: cost 12 inf + 0
1554048292.896 * * [simplify]: Extracting #4: cost 9 inf + 216
1554048292.896 * * [simplify]: Extracting #5: cost 8 inf + 259
1554048292.897 * * [simplify]: Extracting #6: cost 5 inf + 385
1554048292.897 * * [simplify]: Extracting #7: cost 3 inf + 591
1554048292.897 * * [simplify]: Extracting #8: cost 1 inf + 1672
1554048292.898 * * [simplify]: Extracting #9: cost 0 inf + 2378
1554048292.898 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (* (pow k -1/2) (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2))))
1554048301.317 * [regime-testing]: Baseline error score: 0.5111537144878627
1554048301.318 * [regime-testing]: Oracle error score: 0.04119631516601834
1554048301.320 * [regime-testing]: End program error score: 0.5111537144878627