0.003 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.251 * * * [progress]: [2/2] Setting up program.
0.257 * [progress]: [Phase 2 of 3] Improving.
0.257 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.258 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.258 * * [simplify]: iters left: 6 (13 enodes)
0.265 * * [simplify]: iters left: 5 (57 enodes)
0.284 * * [simplify]: iters left: 4 (96 enodes)
0.338 * * [simplify]: iters left: 3 (172 enodes)
0.375 * * [simplify]: iters left: 2 (338 enodes)
0.481 * * [simplify]: Extracting #0: cost 1 inf + 0
0.482 * * [simplify]: Extracting #1: cost 41 inf + 0
0.482 * * [simplify]: Extracting #2: cost 120 inf + 1
0.483 * * [simplify]: Extracting #3: cost 166 inf + 127
0.483 * * [simplify]: Extracting #4: cost 166 inf + 467
0.485 * * [simplify]: Extracting #5: cost 119 inf + 9856
0.491 * * [simplify]: Extracting #6: cost 46 inf + 40838
0.503 * * [simplify]: Extracting #7: cost 4 inf + 73302
0.515 * * [simplify]: Extracting #8: cost 0 inf + 76897
0.528 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
0.528 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
0.535 * * [progress]: iteration 1 / 4
0.535 * * * [progress]: picking best candidate
0.540 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))>
0.540 * * * [progress]: localizing error
0.566 * * * [progress]: generating rewritten candidates
0.566 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
0.584 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
0.609 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
0.633 * * * [progress]: generating series expansions
0.633 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
0.634 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
0.634 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
0.634 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
0.634 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
0.634 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
0.634 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
0.634 * [taylor]: Taking taylor expansion of 1/2 in k
0.634 * [backup-simplify]: Simplify 1/2 into 1/2
0.634 * [taylor]: Taking taylor expansion of (- 1 k) in k
0.634 * [taylor]: Taking taylor expansion of 1 in k
0.634 * [backup-simplify]: Simplify 1 into 1
0.634 * [taylor]: Taking taylor expansion of k in k
0.634 * [backup-simplify]: Simplify 0 into 0
0.634 * [backup-simplify]: Simplify 1 into 1
0.634 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
0.635 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
0.635 * [taylor]: Taking taylor expansion of 2 in k
0.635 * [backup-simplify]: Simplify 2 into 2
0.635 * [taylor]: Taking taylor expansion of (* n PI) in k
0.635 * [taylor]: Taking taylor expansion of n in k
0.635 * [backup-simplify]: Simplify n into n
0.635 * [taylor]: Taking taylor expansion of PI in k
0.635 * [backup-simplify]: Simplify PI into PI
0.635 * [backup-simplify]: Simplify (* n PI) into (* n PI)
0.635 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
0.635 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
0.636 * [backup-simplify]: Simplify (- 0) into 0
0.636 * [backup-simplify]: Simplify (+ 1 0) into 1
0.636 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.637 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
0.637 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
0.637 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
0.637 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
0.637 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
0.637 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
0.637 * [taylor]: Taking taylor expansion of 1/2 in n
0.637 * [backup-simplify]: Simplify 1/2 into 1/2
0.637 * [taylor]: Taking taylor expansion of (- 1 k) in n
0.637 * [taylor]: Taking taylor expansion of 1 in n
0.637 * [backup-simplify]: Simplify 1 into 1
0.637 * [taylor]: Taking taylor expansion of k in n
0.637 * [backup-simplify]: Simplify k into k
0.637 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
0.637 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.637 * [taylor]: Taking taylor expansion of 2 in n
0.637 * [backup-simplify]: Simplify 2 into 2
0.637 * [taylor]: Taking taylor expansion of (* n PI) in n
0.637 * [taylor]: Taking taylor expansion of n in n
0.637 * [backup-simplify]: Simplify 0 into 0
0.637 * [backup-simplify]: Simplify 1 into 1
0.637 * [taylor]: Taking taylor expansion of PI in n
0.637 * [backup-simplify]: Simplify PI into PI
0.638 * [backup-simplify]: Simplify (* 0 PI) into 0
0.638 * [backup-simplify]: Simplify (* 2 0) into 0
0.640 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
0.642 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
0.643 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.643 * [backup-simplify]: Simplify (- k) into (- k)
0.643 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
0.643 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
0.644 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.645 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
0.646 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
0.646 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
0.646 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
0.647 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
0.647 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
0.647 * [taylor]: Taking taylor expansion of 1/2 in n
0.647 * [backup-simplify]: Simplify 1/2 into 1/2
0.647 * [taylor]: Taking taylor expansion of (- 1 k) in n
0.647 * [taylor]: Taking taylor expansion of 1 in n
0.647 * [backup-simplify]: Simplify 1 into 1
0.647 * [taylor]: Taking taylor expansion of k in n
0.647 * [backup-simplify]: Simplify k into k
0.647 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
0.647 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.647 * [taylor]: Taking taylor expansion of 2 in n
0.647 * [backup-simplify]: Simplify 2 into 2
0.647 * [taylor]: Taking taylor expansion of (* n PI) in n
0.647 * [taylor]: Taking taylor expansion of n in n
0.647 * [backup-simplify]: Simplify 0 into 0
0.647 * [backup-simplify]: Simplify 1 into 1
0.647 * [taylor]: Taking taylor expansion of PI in n
0.647 * [backup-simplify]: Simplify PI into PI
0.647 * [backup-simplify]: Simplify (* 0 PI) into 0
0.648 * [backup-simplify]: Simplify (* 2 0) into 0
0.649 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
0.651 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
0.652 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.652 * [backup-simplify]: Simplify (- k) into (- k)
0.652 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
0.652 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
0.653 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.654 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
0.655 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
0.656 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
0.656 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
0.656 * [taylor]: Taking taylor expansion of 1/2 in k
0.656 * [backup-simplify]: Simplify 1/2 into 1/2
0.656 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
0.656 * [taylor]: Taking taylor expansion of (- 1 k) in k
0.656 * [taylor]: Taking taylor expansion of 1 in k
0.656 * [backup-simplify]: Simplify 1 into 1
0.656 * [taylor]: Taking taylor expansion of k in k
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 1 into 1
0.656 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
0.656 * [taylor]: Taking taylor expansion of (log n) in k
0.656 * [taylor]: Taking taylor expansion of n in k
0.656 * [backup-simplify]: Simplify n into n
0.656 * [backup-simplify]: Simplify (log n) into (log n)
0.656 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
0.656 * [taylor]: Taking taylor expansion of (* 2 PI) in k
0.656 * [taylor]: Taking taylor expansion of 2 in k
0.656 * [backup-simplify]: Simplify 2 into 2
0.656 * [taylor]: Taking taylor expansion of PI in k
0.656 * [backup-simplify]: Simplify PI into PI
0.656 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.657 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.658 * [backup-simplify]: Simplify (- 0) into 0
0.658 * [backup-simplify]: Simplify (+ 1 0) into 1
0.659 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.660 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
0.661 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
0.662 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
0.663 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
0.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
0.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
0.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
0.672 * [backup-simplify]: Simplify (- 0) into 0
0.673 * [backup-simplify]: Simplify (+ 0 0) into 0
0.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
0.675 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.676 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
0.678 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.678 * [taylor]: Taking taylor expansion of 0 in k
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
0.680 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
0.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
0.682 * [backup-simplify]: Simplify (+ 0 0) into 0
0.682 * [backup-simplify]: Simplify (- 1) into -1
0.683 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.684 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
0.686 * [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)))))
0.689 * [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)))))))
0.692 * [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)))))))
0.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
0.694 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
0.697 * [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
0.697 * [backup-simplify]: Simplify (- 0) into 0
0.697 * [backup-simplify]: Simplify (+ 0 0) into 0
0.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
0.699 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.699 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
0.701 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.701 * [taylor]: Taking taylor expansion of 0 in k
0.701 * [backup-simplify]: Simplify 0 into 0
0.701 * [backup-simplify]: Simplify 0 into 0
0.701 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
0.703 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
0.704 * [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
0.705 * [backup-simplify]: Simplify (+ 0 0) into 0
0.705 * [backup-simplify]: Simplify (- 0) into 0
0.705 * [backup-simplify]: Simplify (+ 0 0) into 0
0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
0.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
0.710 * [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)))))
0.713 * [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)))))
0.718 * [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)))))
0.719 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
0.719 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
0.719 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
0.719 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
0.719 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
0.719 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
0.719 * [taylor]: Taking taylor expansion of 1/2 in k
0.719 * [backup-simplify]: Simplify 1/2 into 1/2
0.719 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
0.719 * [taylor]: Taking taylor expansion of 1 in k
0.719 * [backup-simplify]: Simplify 1 into 1
0.719 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.719 * [taylor]: Taking taylor expansion of k in k
0.719 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify 1 into 1
0.719 * [backup-simplify]: Simplify (/ 1 1) into 1
0.719 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
0.719 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
0.719 * [taylor]: Taking taylor expansion of 2 in k
0.719 * [backup-simplify]: Simplify 2 into 2
0.719 * [taylor]: Taking taylor expansion of (/ PI n) in k
0.719 * [taylor]: Taking taylor expansion of PI in k
0.719 * [backup-simplify]: Simplify PI into PI
0.720 * [taylor]: Taking taylor expansion of n in k
0.720 * [backup-simplify]: Simplify n into n
0.720 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
0.720 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
0.720 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
0.720 * [backup-simplify]: Simplify (- 1) into -1
0.720 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.720 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
0.721 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
0.721 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
0.721 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
0.721 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
0.721 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
0.721 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
0.721 * [taylor]: Taking taylor expansion of 1/2 in n
0.721 * [backup-simplify]: Simplify 1/2 into 1/2
0.721 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
0.721 * [taylor]: Taking taylor expansion of 1 in n
0.721 * [backup-simplify]: Simplify 1 into 1
0.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.721 * [taylor]: Taking taylor expansion of k in n
0.721 * [backup-simplify]: Simplify k into k
0.721 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.721 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
0.721 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
0.721 * [taylor]: Taking taylor expansion of 2 in n
0.721 * [backup-simplify]: Simplify 2 into 2
0.721 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.721 * [taylor]: Taking taylor expansion of PI in n
0.721 * [backup-simplify]: Simplify PI into PI
0.721 * [taylor]: Taking taylor expansion of n in n
0.721 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify 1 into 1
0.721 * [backup-simplify]: Simplify (/ PI 1) into PI
0.722 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.722 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.722 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
0.722 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
0.722 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
0.723 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.724 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
0.725 * [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)))))
0.725 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
0.725 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
0.725 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
0.725 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
0.725 * [taylor]: Taking taylor expansion of 1/2 in n
0.725 * [backup-simplify]: Simplify 1/2 into 1/2
0.725 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
0.725 * [taylor]: Taking taylor expansion of 1 in n
0.725 * [backup-simplify]: Simplify 1 into 1
0.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.725 * [taylor]: Taking taylor expansion of k in n
0.725 * [backup-simplify]: Simplify k into k
0.726 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.726 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
0.726 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
0.726 * [taylor]: Taking taylor expansion of 2 in n
0.726 * [backup-simplify]: Simplify 2 into 2
0.726 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.726 * [taylor]: Taking taylor expansion of PI in n
0.726 * [backup-simplify]: Simplify PI into PI
0.726 * [taylor]: Taking taylor expansion of n in n
0.726 * [backup-simplify]: Simplify 0 into 0
0.726 * [backup-simplify]: Simplify 1 into 1
0.726 * [backup-simplify]: Simplify (/ PI 1) into PI
0.727 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.728 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.728 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
0.728 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
0.728 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
0.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.730 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
0.731 * [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)))))
0.731 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
0.731 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
0.732 * [taylor]: Taking taylor expansion of 1/2 in k
0.732 * [backup-simplify]: Simplify 1/2 into 1/2
0.732 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
0.732 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
0.732 * [taylor]: Taking taylor expansion of 1 in k
0.732 * [backup-simplify]: Simplify 1 into 1
0.732 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.732 * [taylor]: Taking taylor expansion of k in k
0.732 * [backup-simplify]: Simplify 0 into 0
0.732 * [backup-simplify]: Simplify 1 into 1
0.732 * [backup-simplify]: Simplify (/ 1 1) into 1
0.732 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
0.732 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
0.732 * [taylor]: Taking taylor expansion of (* 2 PI) in k
0.732 * [taylor]: Taking taylor expansion of 2 in k
0.732 * [backup-simplify]: Simplify 2 into 2
0.732 * [taylor]: Taking taylor expansion of PI in k
0.732 * [backup-simplify]: Simplify PI into PI
0.733 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.734 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.734 * [taylor]: Taking taylor expansion of (log n) in k
0.734 * [taylor]: Taking taylor expansion of n in k
0.734 * [backup-simplify]: Simplify n into n
0.734 * [backup-simplify]: Simplify (log n) into (log n)
0.734 * [backup-simplify]: Simplify (- 1) into -1
0.735 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.735 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
0.736 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
0.737 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
0.738 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
0.739 * [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)))))
0.740 * [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)))))
0.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
0.742 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
0.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
0.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
0.745 * [backup-simplify]: Simplify (- 0) into 0
0.745 * [backup-simplify]: Simplify (+ 0 0) into 0
0.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
0.747 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.748 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
0.750 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.750 * [taylor]: Taking taylor expansion of 0 in k
0.750 * [backup-simplify]: Simplify 0 into 0
0.750 * [backup-simplify]: Simplify 0 into 0
0.750 * [backup-simplify]: Simplify 0 into 0
0.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.752 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
0.756 * [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
0.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.757 * [backup-simplify]: Simplify (- 0) into 0
0.757 * [backup-simplify]: Simplify (+ 0 0) into 0
0.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
0.760 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.761 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
0.764 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.764 * [taylor]: Taking taylor expansion of 0 in k
0.764 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify 0 into 0
0.764 * [backup-simplify]: Simplify 0 into 0
0.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.766 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
0.772 * [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
0.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.773 * [backup-simplify]: Simplify (- 0) into 0
0.773 * [backup-simplify]: Simplify (+ 0 0) into 0
0.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
0.776 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.777 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
0.780 * [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
0.780 * [taylor]: Taking taylor expansion of 0 in k
0.780 * [backup-simplify]: Simplify 0 into 0
0.780 * [backup-simplify]: Simplify 0 into 0
0.781 * [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))))))
0.782 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
0.782 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
0.782 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
0.782 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
0.782 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
0.782 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
0.782 * [taylor]: Taking taylor expansion of 1/2 in k
0.782 * [backup-simplify]: Simplify 1/2 into 1/2
0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
0.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.782 * [taylor]: Taking taylor expansion of k in k
0.782 * [backup-simplify]: Simplify 0 into 0
0.782 * [backup-simplify]: Simplify 1 into 1
0.783 * [backup-simplify]: Simplify (/ 1 1) into 1
0.783 * [taylor]: Taking taylor expansion of 1 in k
0.783 * [backup-simplify]: Simplify 1 into 1
0.783 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
0.783 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
0.783 * [taylor]: Taking taylor expansion of -2 in k
0.783 * [backup-simplify]: Simplify -2 into -2
0.783 * [taylor]: Taking taylor expansion of (/ PI n) in k
0.783 * [taylor]: Taking taylor expansion of PI in k
0.783 * [backup-simplify]: Simplify PI into PI
0.783 * [taylor]: Taking taylor expansion of n in k
0.783 * [backup-simplify]: Simplify n into n
0.783 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
0.783 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
0.783 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
0.784 * [backup-simplify]: Simplify (+ 1 0) into 1
0.784 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.784 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
0.784 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
0.784 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
0.784 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
0.784 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
0.784 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
0.784 * [taylor]: Taking taylor expansion of 1/2 in n
0.784 * [backup-simplify]: Simplify 1/2 into 1/2
0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
0.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.785 * [taylor]: Taking taylor expansion of k in n
0.785 * [backup-simplify]: Simplify k into k
0.785 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.785 * [taylor]: Taking taylor expansion of 1 in n
0.785 * [backup-simplify]: Simplify 1 into 1
0.785 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
0.785 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
0.785 * [taylor]: Taking taylor expansion of -2 in n
0.785 * [backup-simplify]: Simplify -2 into -2
0.785 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.785 * [taylor]: Taking taylor expansion of PI in n
0.785 * [backup-simplify]: Simplify PI into PI
0.785 * [taylor]: Taking taylor expansion of n in n
0.785 * [backup-simplify]: Simplify 0 into 0
0.785 * [backup-simplify]: Simplify 1 into 1
0.785 * [backup-simplify]: Simplify (/ PI 1) into PI
0.786 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
0.787 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
0.787 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
0.787 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
0.788 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.789 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
0.793 * [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)))))
0.793 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
0.793 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
0.793 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
0.793 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
0.793 * [taylor]: Taking taylor expansion of 1/2 in n
0.793 * [backup-simplify]: Simplify 1/2 into 1/2
0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
0.793 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.793 * [taylor]: Taking taylor expansion of k in n
0.793 * [backup-simplify]: Simplify k into k
0.793 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.794 * [taylor]: Taking taylor expansion of 1 in n
0.794 * [backup-simplify]: Simplify 1 into 1
0.794 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
0.794 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
0.794 * [taylor]: Taking taylor expansion of -2 in n
0.794 * [backup-simplify]: Simplify -2 into -2
0.794 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.794 * [taylor]: Taking taylor expansion of PI in n
0.794 * [backup-simplify]: Simplify PI into PI
0.794 * [taylor]: Taking taylor expansion of n in n
0.794 * [backup-simplify]: Simplify 0 into 0
0.794 * [backup-simplify]: Simplify 1 into 1
0.794 * [backup-simplify]: Simplify (/ PI 1) into PI
0.795 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
0.796 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
0.796 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
0.796 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
0.797 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.798 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
0.799 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
0.799 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
0.800 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
0.800 * [taylor]: Taking taylor expansion of 1/2 in k
0.800 * [backup-simplify]: Simplify 1/2 into 1/2
0.800 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
0.800 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.800 * [taylor]: Taking taylor expansion of k in k
0.800 * [backup-simplify]: Simplify 0 into 0
0.800 * [backup-simplify]: Simplify 1 into 1
0.800 * [backup-simplify]: Simplify (/ 1 1) into 1
0.800 * [taylor]: Taking taylor expansion of 1 in k
0.800 * [backup-simplify]: Simplify 1 into 1
0.800 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
0.800 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
0.800 * [taylor]: Taking taylor expansion of (* -2 PI) in k
0.800 * [taylor]: Taking taylor expansion of -2 in k
0.800 * [backup-simplify]: Simplify -2 into -2
0.800 * [taylor]: Taking taylor expansion of PI in k
0.800 * [backup-simplify]: Simplify PI into PI
0.801 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
0.802 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
0.802 * [taylor]: Taking taylor expansion of (log n) in k
0.802 * [taylor]: Taking taylor expansion of n in k
0.802 * [backup-simplify]: Simplify n into n
0.802 * [backup-simplify]: Simplify (log n) into (log n)
0.802 * [backup-simplify]: Simplify (+ 1 0) into 1
0.802 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
0.803 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
0.804 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
0.805 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
0.806 * [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)))))
0.807 * [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)))))
0.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
0.809 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
0.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
0.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
0.810 * [backup-simplify]: Simplify (+ 0 0) into 0
0.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
0.811 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.812 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
0.813 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.813 * [taylor]: Taking taylor expansion of 0 in k
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 0 into 0
0.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.814 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
0.816 * [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
0.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.817 * [backup-simplify]: Simplify (+ 0 0) into 0
0.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
0.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.819 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
0.820 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.820 * [taylor]: Taking taylor expansion of 0 in k
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 0 into 0
0.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.822 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
0.825 * [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
0.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.825 * [backup-simplify]: Simplify (+ 0 0) into 0
0.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
0.827 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.828 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
0.830 * [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
0.830 * [taylor]: Taking taylor expansion of 0 in k
0.830 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify 0 into 0
0.831 * [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))))))
0.831 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
0.831 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
0.831 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
0.831 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.831 * [taylor]: Taking taylor expansion of 2 in n
0.831 * [backup-simplify]: Simplify 2 into 2
0.831 * [taylor]: Taking taylor expansion of (* n PI) in n
0.831 * [taylor]: Taking taylor expansion of n in n
0.831 * [backup-simplify]: Simplify 0 into 0
0.831 * [backup-simplify]: Simplify 1 into 1
0.831 * [taylor]: Taking taylor expansion of PI in n
0.832 * [backup-simplify]: Simplify PI into PI
0.832 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.832 * [taylor]: Taking taylor expansion of 2 in n
0.832 * [backup-simplify]: Simplify 2 into 2
0.832 * [taylor]: Taking taylor expansion of (* n PI) in n
0.832 * [taylor]: Taking taylor expansion of n in n
0.832 * [backup-simplify]: Simplify 0 into 0
0.832 * [backup-simplify]: Simplify 1 into 1
0.832 * [taylor]: Taking taylor expansion of PI in n
0.832 * [backup-simplify]: Simplify PI into PI
0.832 * [backup-simplify]: Simplify (* 0 PI) into 0
0.833 * [backup-simplify]: Simplify (* 2 0) into 0
0.833 * [backup-simplify]: Simplify 0 into 0
0.834 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
0.836 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
0.836 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
0.838 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
0.838 * [backup-simplify]: Simplify 0 into 0
0.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
0.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
0.840 * [backup-simplify]: Simplify 0 into 0
0.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
0.843 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
0.843 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
0.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
0.846 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
0.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
0.849 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
0.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
0.853 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
0.854 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
0.854 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
0.854 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
0.854 * [taylor]: Taking taylor expansion of 2 in n
0.854 * [backup-simplify]: Simplify 2 into 2
0.854 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.854 * [taylor]: Taking taylor expansion of PI in n
0.854 * [backup-simplify]: Simplify PI into PI
0.854 * [taylor]: Taking taylor expansion of n in n
0.854 * [backup-simplify]: Simplify 0 into 0
0.854 * [backup-simplify]: Simplify 1 into 1
0.855 * [backup-simplify]: Simplify (/ PI 1) into PI
0.855 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
0.855 * [taylor]: Taking taylor expansion of 2 in n
0.855 * [backup-simplify]: Simplify 2 into 2
0.855 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.855 * [taylor]: Taking taylor expansion of PI in n
0.855 * [backup-simplify]: Simplify PI into PI
0.855 * [taylor]: Taking taylor expansion of n in n
0.855 * [backup-simplify]: Simplify 0 into 0
0.855 * [backup-simplify]: Simplify 1 into 1
0.855 * [backup-simplify]: Simplify (/ PI 1) into PI
0.856 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.856 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
0.858 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
0.858 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.861 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
0.861 * [backup-simplify]: Simplify 0 into 0
0.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
0.862 * [backup-simplify]: Simplify 0 into 0
0.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
0.864 * [backup-simplify]: Simplify 0 into 0
0.864 * [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
0.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
0.865 * [backup-simplify]: Simplify 0 into 0
0.866 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
0.866 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
0.866 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
0.866 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
0.866 * [taylor]: Taking taylor expansion of -2 in n
0.866 * [backup-simplify]: Simplify -2 into -2
0.866 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.866 * [taylor]: Taking taylor expansion of PI in n
0.866 * [backup-simplify]: Simplify PI into PI
0.866 * [taylor]: Taking taylor expansion of n in n
0.866 * [backup-simplify]: Simplify 0 into 0
0.866 * [backup-simplify]: Simplify 1 into 1
0.866 * [backup-simplify]: Simplify (/ PI 1) into PI
0.866 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
0.866 * [taylor]: Taking taylor expansion of -2 in n
0.867 * [backup-simplify]: Simplify -2 into -2
0.867 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.867 * [taylor]: Taking taylor expansion of PI in n
0.867 * [backup-simplify]: Simplify PI into PI
0.867 * [taylor]: Taking taylor expansion of n in n
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify 1 into 1
0.867 * [backup-simplify]: Simplify (/ PI 1) into PI
0.867 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
0.867 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
0.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
0.868 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
0.868 * [backup-simplify]: Simplify 0 into 0
0.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.870 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
0.870 * [backup-simplify]: Simplify 0 into 0
0.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.871 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
0.871 * [backup-simplify]: Simplify 0 into 0
0.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.872 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
0.872 * [backup-simplify]: Simplify 0 into 0
0.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.874 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
0.874 * [backup-simplify]: Simplify 0 into 0
0.874 * [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
0.875 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
0.876 * * * * [progress]: [ 3 / 3 ] generating series at (2)
0.876 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
0.876 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
0.876 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
0.876 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
0.876 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
0.876 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
0.876 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
0.876 * [taylor]: Taking taylor expansion of 1/2 in k
0.876 * [backup-simplify]: Simplify 1/2 into 1/2
0.876 * [taylor]: Taking taylor expansion of (- 1 k) in k
0.876 * [taylor]: Taking taylor expansion of 1 in k
0.876 * [backup-simplify]: Simplify 1 into 1
0.876 * [taylor]: Taking taylor expansion of k in k
0.876 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify 1 into 1
0.876 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
0.876 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
0.876 * [taylor]: Taking taylor expansion of 2 in k
0.876 * [backup-simplify]: Simplify 2 into 2
0.876 * [taylor]: Taking taylor expansion of (* n PI) in k
0.876 * [taylor]: Taking taylor expansion of n in k
0.876 * [backup-simplify]: Simplify n into n
0.876 * [taylor]: Taking taylor expansion of PI in k
0.876 * [backup-simplify]: Simplify PI into PI
0.876 * [backup-simplify]: Simplify (* n PI) into (* n PI)
0.876 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
0.876 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
0.877 * [backup-simplify]: Simplify (- 0) into 0
0.877 * [backup-simplify]: Simplify (+ 1 0) into 1
0.877 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.877 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
0.877 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
0.877 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
0.877 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.877 * [taylor]: Taking taylor expansion of k in k
0.877 * [backup-simplify]: Simplify 0 into 0
0.877 * [backup-simplify]: Simplify 1 into 1
0.878 * [backup-simplify]: Simplify (/ 1 1) into 1
0.878 * [backup-simplify]: Simplify (sqrt 0) into 0
0.879 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.879 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
0.879 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
0.879 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
0.879 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
0.879 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
0.879 * [taylor]: Taking taylor expansion of 1/2 in n
0.879 * [backup-simplify]: Simplify 1/2 into 1/2
0.879 * [taylor]: Taking taylor expansion of (- 1 k) in n
0.879 * [taylor]: Taking taylor expansion of 1 in n
0.879 * [backup-simplify]: Simplify 1 into 1
0.879 * [taylor]: Taking taylor expansion of k in n
0.879 * [backup-simplify]: Simplify k into k
0.879 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
0.879 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.879 * [taylor]: Taking taylor expansion of 2 in n
0.879 * [backup-simplify]: Simplify 2 into 2
0.879 * [taylor]: Taking taylor expansion of (* n PI) in n
0.879 * [taylor]: Taking taylor expansion of n in n
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 1 into 1
0.879 * [taylor]: Taking taylor expansion of PI in n
0.879 * [backup-simplify]: Simplify PI into PI
0.879 * [backup-simplify]: Simplify (* 0 PI) into 0
0.880 * [backup-simplify]: Simplify (* 2 0) into 0
0.880 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
0.881 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
0.882 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.882 * [backup-simplify]: Simplify (- k) into (- k)
0.882 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
0.882 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
0.883 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.884 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
0.884 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
0.884 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
0.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.884 * [taylor]: Taking taylor expansion of k in n
0.884 * [backup-simplify]: Simplify k into k
0.884 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.884 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
0.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
0.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
0.885 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
0.885 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
0.885 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
0.885 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
0.885 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
0.885 * [taylor]: Taking taylor expansion of 1/2 in n
0.885 * [backup-simplify]: Simplify 1/2 into 1/2
0.885 * [taylor]: Taking taylor expansion of (- 1 k) in n
0.885 * [taylor]: Taking taylor expansion of 1 in n
0.885 * [backup-simplify]: Simplify 1 into 1
0.885 * [taylor]: Taking taylor expansion of k in n
0.885 * [backup-simplify]: Simplify k into k
0.885 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
0.885 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.885 * [taylor]: Taking taylor expansion of 2 in n
0.885 * [backup-simplify]: Simplify 2 into 2
0.885 * [taylor]: Taking taylor expansion of (* n PI) in n
0.885 * [taylor]: Taking taylor expansion of n in n
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 1 into 1
0.885 * [taylor]: Taking taylor expansion of PI in n
0.885 * [backup-simplify]: Simplify PI into PI
0.885 * [backup-simplify]: Simplify (* 0 PI) into 0
0.885 * [backup-simplify]: Simplify (* 2 0) into 0
0.886 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
0.887 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
0.888 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.888 * [backup-simplify]: Simplify (- k) into (- k)
0.888 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
0.888 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
0.889 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.889 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
0.890 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
0.890 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
0.890 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.890 * [taylor]: Taking taylor expansion of k in n
0.890 * [backup-simplify]: Simplify k into k
0.890 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.890 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
0.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
0.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
0.891 * [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)))
0.891 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
0.891 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
0.891 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
0.891 * [taylor]: Taking taylor expansion of 1/2 in k
0.891 * [backup-simplify]: Simplify 1/2 into 1/2
0.891 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
0.891 * [taylor]: Taking taylor expansion of (- 1 k) in k
0.891 * [taylor]: Taking taylor expansion of 1 in k
0.891 * [backup-simplify]: Simplify 1 into 1
0.891 * [taylor]: Taking taylor expansion of k in k
0.891 * [backup-simplify]: Simplify 0 into 0
0.891 * [backup-simplify]: Simplify 1 into 1
0.891 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
0.891 * [taylor]: Taking taylor expansion of (log n) in k
0.891 * [taylor]: Taking taylor expansion of n in k
0.891 * [backup-simplify]: Simplify n into n
0.891 * [backup-simplify]: Simplify (log n) into (log n)
0.891 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
0.891 * [taylor]: Taking taylor expansion of (* 2 PI) in k
0.891 * [taylor]: Taking taylor expansion of 2 in k
0.891 * [backup-simplify]: Simplify 2 into 2
0.891 * [taylor]: Taking taylor expansion of PI in k
0.891 * [backup-simplify]: Simplify PI into PI
0.892 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.893 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.893 * [backup-simplify]: Simplify (- 0) into 0
0.893 * [backup-simplify]: Simplify (+ 1 0) into 1
0.894 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.896 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
0.899 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
0.900 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
0.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
0.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.900 * [taylor]: Taking taylor expansion of k in k
0.900 * [backup-simplify]: Simplify 0 into 0
0.900 * [backup-simplify]: Simplify 1 into 1
0.900 * [backup-simplify]: Simplify (/ 1 1) into 1
0.901 * [backup-simplify]: Simplify (sqrt 0) into 0
0.902 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.903 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
0.903 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
0.905 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
0.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
0.906 * [backup-simplify]: Simplify (- 0) into 0
0.906 * [backup-simplify]: Simplify (+ 0 0) into 0
0.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
0.907 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.908 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
0.909 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.910 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
0.910 * [taylor]: Taking taylor expansion of 0 in k
0.910 * [backup-simplify]: Simplify 0 into 0
0.910 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
0.911 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
0.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
0.912 * [backup-simplify]: Simplify (+ 0 0) into 0
0.912 * [backup-simplify]: Simplify (- 1) into -1
0.912 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.913 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
0.914 * [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)))))
0.916 * [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)))))))
0.918 * [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)))))))
0.919 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
0.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
0.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
0.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
0.923 * [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
0.923 * [backup-simplify]: Simplify (- 0) into 0
0.923 * [backup-simplify]: Simplify (+ 0 0) into 0
0.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
0.924 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.925 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
0.927 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.928 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
0.928 * [taylor]: Taking taylor expansion of 0 in k
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.930 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.931 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
0.932 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
0.933 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
0.934 * [backup-simplify]: Simplify (+ 0 0) into 0
0.934 * [backup-simplify]: Simplify (- 0) into 0
0.934 * [backup-simplify]: Simplify (+ 0 0) into 0
0.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
0.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
0.941 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
0.950 * [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))))))))
0.954 * [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))))))))
0.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
0.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
0.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
0.964 * [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
0.964 * [backup-simplify]: Simplify (- 0) into 0
0.964 * [backup-simplify]: Simplify (+ 0 0) into 0
0.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
0.966 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.967 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
0.969 * [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
0.970 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
0.970 * [taylor]: Taking taylor expansion of 0 in k
0.970 * [backup-simplify]: Simplify 0 into 0
0.970 * [backup-simplify]: Simplify 0 into 0
0.970 * [backup-simplify]: Simplify 0 into 0
0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.974 * [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
0.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
0.978 * [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
0.978 * [backup-simplify]: Simplify (+ 0 0) into 0
0.979 * [backup-simplify]: Simplify (- 0) into 0
0.979 * [backup-simplify]: Simplify (+ 0 0) into 0
0.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
0.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
0.985 * [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)))))))
0.997 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
1.008 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
1.026 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
1.027 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
1.027 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
1.027 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1.027 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1.027 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1.027 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1.028 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1.028 * [taylor]: Taking taylor expansion of 1/2 in k
1.028 * [backup-simplify]: Simplify 1/2 into 1/2
1.028 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.028 * [taylor]: Taking taylor expansion of 1 in k
1.028 * [backup-simplify]: Simplify 1 into 1
1.028 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.028 * [taylor]: Taking taylor expansion of k in k
1.028 * [backup-simplify]: Simplify 0 into 0
1.028 * [backup-simplify]: Simplify 1 into 1
1.028 * [backup-simplify]: Simplify (/ 1 1) into 1
1.028 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1.028 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1.028 * [taylor]: Taking taylor expansion of 2 in k
1.028 * [backup-simplify]: Simplify 2 into 2
1.028 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.028 * [taylor]: Taking taylor expansion of PI in k
1.028 * [backup-simplify]: Simplify PI into PI
1.028 * [taylor]: Taking taylor expansion of n in k
1.028 * [backup-simplify]: Simplify n into n
1.028 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.029 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1.029 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1.029 * [backup-simplify]: Simplify (- 1) into -1
1.030 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.030 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1.030 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1.030 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1.030 * [taylor]: Taking taylor expansion of (sqrt k) in k
1.030 * [taylor]: Taking taylor expansion of k in k
1.030 * [backup-simplify]: Simplify 0 into 0
1.030 * [backup-simplify]: Simplify 1 into 1
1.031 * [backup-simplify]: Simplify (sqrt 0) into 0
1.032 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.032 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1.032 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.032 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.033 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.033 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.033 * [taylor]: Taking taylor expansion of 1/2 in n
1.033 * [backup-simplify]: Simplify 1/2 into 1/2
1.033 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.033 * [taylor]: Taking taylor expansion of 1 in n
1.033 * [backup-simplify]: Simplify 1 into 1
1.033 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.033 * [taylor]: Taking taylor expansion of k in n
1.033 * [backup-simplify]: Simplify k into k
1.033 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.033 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.033 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.033 * [taylor]: Taking taylor expansion of 2 in n
1.033 * [backup-simplify]: Simplify 2 into 2
1.033 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.033 * [taylor]: Taking taylor expansion of PI in n
1.033 * [backup-simplify]: Simplify PI into PI
1.033 * [taylor]: Taking taylor expansion of n in n
1.033 * [backup-simplify]: Simplify 0 into 0
1.033 * [backup-simplify]: Simplify 1 into 1
1.034 * [backup-simplify]: Simplify (/ PI 1) into PI
1.034 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.035 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.035 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.035 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.035 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.037 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.038 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.039 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.039 * [taylor]: Taking taylor expansion of (sqrt k) in n
1.039 * [taylor]: Taking taylor expansion of k in n
1.039 * [backup-simplify]: Simplify k into k
1.039 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1.039 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1.039 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.039 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.039 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.039 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.039 * [taylor]: Taking taylor expansion of 1/2 in n
1.039 * [backup-simplify]: Simplify 1/2 into 1/2
1.039 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.039 * [taylor]: Taking taylor expansion of 1 in n
1.039 * [backup-simplify]: Simplify 1 into 1
1.039 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.039 * [taylor]: Taking taylor expansion of k in n
1.039 * [backup-simplify]: Simplify k into k
1.040 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.040 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.040 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.040 * [taylor]: Taking taylor expansion of 2 in n
1.040 * [backup-simplify]: Simplify 2 into 2
1.040 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.040 * [taylor]: Taking taylor expansion of PI in n
1.040 * [backup-simplify]: Simplify PI into PI
1.040 * [taylor]: Taking taylor expansion of n in n
1.040 * [backup-simplify]: Simplify 0 into 0
1.040 * [backup-simplify]: Simplify 1 into 1
1.040 * [backup-simplify]: Simplify (/ PI 1) into PI
1.041 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.042 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.042 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.042 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.042 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.043 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.044 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.045 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.046 * [taylor]: Taking taylor expansion of (sqrt k) in n
1.046 * [taylor]: Taking taylor expansion of k in n
1.046 * [backup-simplify]: Simplify k into k
1.046 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1.047 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k))
1.047 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
1.047 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1.047 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1.047 * [taylor]: Taking taylor expansion of 1/2 in k
1.048 * [backup-simplify]: Simplify 1/2 into 1/2
1.048 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1.048 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.048 * [taylor]: Taking taylor expansion of 1 in k
1.048 * [backup-simplify]: Simplify 1 into 1
1.048 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.048 * [taylor]: Taking taylor expansion of k in k
1.048 * [backup-simplify]: Simplify 0 into 0
1.048 * [backup-simplify]: Simplify 1 into 1
1.048 * [backup-simplify]: Simplify (/ 1 1) into 1
1.048 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1.048 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.048 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.048 * [taylor]: Taking taylor expansion of 2 in k
1.048 * [backup-simplify]: Simplify 2 into 2
1.048 * [taylor]: Taking taylor expansion of PI in k
1.048 * [backup-simplify]: Simplify PI into PI
1.049 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.050 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.050 * [taylor]: Taking taylor expansion of (log n) in k
1.050 * [taylor]: Taking taylor expansion of n in k
1.050 * [backup-simplify]: Simplify n into n
1.050 * [backup-simplify]: Simplify (log n) into (log n)
1.050 * [backup-simplify]: Simplify (- 1) into -1
1.051 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.051 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.052 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1.053 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1.054 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1.055 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
1.055 * [taylor]: Taking taylor expansion of (sqrt k) in k
1.055 * [taylor]: Taking taylor expansion of k in k
1.055 * [backup-simplify]: Simplify 0 into 0
1.055 * [backup-simplify]: Simplify 1 into 1
1.055 * [backup-simplify]: Simplify (sqrt 0) into 0
1.057 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.058 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
1.058 * [backup-simplify]: Simplify 0 into 0
1.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.060 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.062 * [backup-simplify]: Simplify (- 0) into 0
1.062 * [backup-simplify]: Simplify (+ 0 0) into 0
1.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1.064 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.065 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1.067 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.068 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
1.068 * [taylor]: Taking taylor expansion of 0 in k
1.068 * [backup-simplify]: Simplify 0 into 0
1.068 * [backup-simplify]: Simplify 0 into 0
1.070 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1.071 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1.072 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.074 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.079 * [backup-simplify]: Simplify (- 0) into 0
1.079 * [backup-simplify]: Simplify (+ 0 0) into 0
1.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.083 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1.085 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.087 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
1.087 * [taylor]: Taking taylor expansion of 0 in k
1.087 * [backup-simplify]: Simplify 0 into 0
1.087 * [backup-simplify]: Simplify 0 into 0
1.087 * [backup-simplify]: Simplify 0 into 0
1.090 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.092 * [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)))))))
1.093 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.097 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.102 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
1.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.103 * [backup-simplify]: Simplify (- 0) into 0
1.104 * [backup-simplify]: Simplify (+ 0 0) into 0
1.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1.106 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.108 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1.111 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1.113 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
1.113 * [taylor]: Taking taylor expansion of 0 in k
1.113 * [backup-simplify]: Simplify 0 into 0
1.113 * [backup-simplify]: Simplify 0 into 0
1.113 * [backup-simplify]: Simplify 0 into 0
1.113 * [backup-simplify]: Simplify 0 into 0
1.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1.119 * [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)))))))
1.120 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
1.124 * [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))))))))
1.125 * [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)))
1.125 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
1.125 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1.125 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1.125 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1.125 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1.126 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1.126 * [taylor]: Taking taylor expansion of 1/2 in k
1.126 * [backup-simplify]: Simplify 1/2 into 1/2
1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.126 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.126 * [taylor]: Taking taylor expansion of k in k
1.126 * [backup-simplify]: Simplify 0 into 0
1.126 * [backup-simplify]: Simplify 1 into 1
1.126 * [backup-simplify]: Simplify (/ 1 1) into 1
1.126 * [taylor]: Taking taylor expansion of 1 in k
1.126 * [backup-simplify]: Simplify 1 into 1
1.126 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1.126 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1.126 * [taylor]: Taking taylor expansion of -2 in k
1.126 * [backup-simplify]: Simplify -2 into -2
1.126 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.126 * [taylor]: Taking taylor expansion of PI in k
1.126 * [backup-simplify]: Simplify PI into PI
1.126 * [taylor]: Taking taylor expansion of n in k
1.126 * [backup-simplify]: Simplify n into n
1.126 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.126 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1.127 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1.130 * [backup-simplify]: Simplify (+ 1 0) into 1
1.130 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.131 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1.131 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1.131 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1.131 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1.131 * [taylor]: Taking taylor expansion of -1 in k
1.131 * [backup-simplify]: Simplify -1 into -1
1.131 * [taylor]: Taking taylor expansion of k in k
1.131 * [backup-simplify]: Simplify 0 into 0
1.131 * [backup-simplify]: Simplify 1 into 1
1.132 * [backup-simplify]: Simplify (/ -1 1) into -1
1.132 * [backup-simplify]: Simplify (sqrt 0) into 0
1.134 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1.134 * [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)))))
1.134 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1.134 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.134 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.134 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.134 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.134 * [taylor]: Taking taylor expansion of 1/2 in n
1.134 * [backup-simplify]: Simplify 1/2 into 1/2
1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.134 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.134 * [taylor]: Taking taylor expansion of k in n
1.134 * [backup-simplify]: Simplify k into k
1.134 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.134 * [taylor]: Taking taylor expansion of 1 in n
1.134 * [backup-simplify]: Simplify 1 into 1
1.134 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.134 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.134 * [taylor]: Taking taylor expansion of -2 in n
1.134 * [backup-simplify]: Simplify -2 into -2
1.135 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.135 * [taylor]: Taking taylor expansion of PI in n
1.135 * [backup-simplify]: Simplify PI into PI
1.135 * [taylor]: Taking taylor expansion of n in n
1.135 * [backup-simplify]: Simplify 0 into 0
1.135 * [backup-simplify]: Simplify 1 into 1
1.135 * [backup-simplify]: Simplify (/ PI 1) into PI
1.136 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.137 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.137 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.137 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.138 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.140 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1.141 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1.141 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1.141 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1.141 * [taylor]: Taking taylor expansion of -1 in n
1.141 * [backup-simplify]: Simplify -1 into -1
1.141 * [taylor]: Taking taylor expansion of k in n
1.141 * [backup-simplify]: Simplify k into k
1.141 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1.141 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1.141 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1.142 * [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)))
1.143 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1.143 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.143 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.143 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.143 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.143 * [taylor]: Taking taylor expansion of 1/2 in n
1.143 * [backup-simplify]: Simplify 1/2 into 1/2
1.143 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.143 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.143 * [taylor]: Taking taylor expansion of k in n
1.143 * [backup-simplify]: Simplify k into k
1.143 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.143 * [taylor]: Taking taylor expansion of 1 in n
1.143 * [backup-simplify]: Simplify 1 into 1
1.143 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.143 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.143 * [taylor]: Taking taylor expansion of -2 in n
1.143 * [backup-simplify]: Simplify -2 into -2
1.143 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.143 * [taylor]: Taking taylor expansion of PI in n
1.143 * [backup-simplify]: Simplify PI into PI
1.143 * [taylor]: Taking taylor expansion of n in n
1.143 * [backup-simplify]: Simplify 0 into 0
1.143 * [backup-simplify]: Simplify 1 into 1
1.144 * [backup-simplify]: Simplify (/ PI 1) into PI
1.144 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.145 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.145 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.145 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.146 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.146 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1.147 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1.147 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1.147 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1.147 * [taylor]: Taking taylor expansion of -1 in n
1.147 * [backup-simplify]: Simplify -1 into -1
1.147 * [taylor]: Taking taylor expansion of k in n
1.147 * [backup-simplify]: Simplify k into k
1.147 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1.147 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1.147 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1.148 * [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)))
1.148 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
1.148 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1.148 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1.148 * [taylor]: Taking taylor expansion of 1/2 in k
1.148 * [backup-simplify]: Simplify 1/2 into 1/2
1.148 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1.148 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.148 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.148 * [taylor]: Taking taylor expansion of k in k
1.148 * [backup-simplify]: Simplify 0 into 0
1.148 * [backup-simplify]: Simplify 1 into 1
1.148 * [backup-simplify]: Simplify (/ 1 1) into 1
1.148 * [taylor]: Taking taylor expansion of 1 in k
1.148 * [backup-simplify]: Simplify 1 into 1
1.149 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1.149 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1.149 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1.149 * [taylor]: Taking taylor expansion of -2 in k
1.149 * [backup-simplify]: Simplify -2 into -2
1.149 * [taylor]: Taking taylor expansion of PI in k
1.149 * [backup-simplify]: Simplify PI into PI
1.149 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.149 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.149 * [taylor]: Taking taylor expansion of (log n) in k
1.150 * [taylor]: Taking taylor expansion of n in k
1.150 * [backup-simplify]: Simplify n into n
1.150 * [backup-simplify]: Simplify (log n) into (log n)
1.150 * [backup-simplify]: Simplify (+ 1 0) into 1
1.150 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.150 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1.151 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1.152 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1.152 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
1.152 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1.152 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1.152 * [taylor]: Taking taylor expansion of -1 in k
1.152 * [backup-simplify]: Simplify -1 into -1
1.152 * [taylor]: Taking taylor expansion of k in k
1.152 * [backup-simplify]: Simplify 0 into 0
1.153 * [backup-simplify]: Simplify 1 into 1
1.153 * [backup-simplify]: Simplify (/ -1 1) into -1
1.153 * [backup-simplify]: Simplify (sqrt 0) into 0
1.154 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1.154 * [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))))))
1.155 * [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))))))
1.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.156 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.157 * [backup-simplify]: Simplify (+ 0 0) into 0
1.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1.159 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.159 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1.160 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.161 * [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
1.161 * [taylor]: Taking taylor expansion of 0 in k
1.161 * [backup-simplify]: Simplify 0 into 0
1.161 * [backup-simplify]: Simplify 0 into 0
1.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.164 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.165 * [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)))))))
1.166 * [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)))))))
1.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.167 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1.169 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.169 * [backup-simplify]: Simplify (+ 0 0) into 0
1.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1.171 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.172 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1.174 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.174 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.175 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1.176 * [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
1.177 * [taylor]: Taking taylor expansion of 0 in k
1.177 * [backup-simplify]: Simplify 0 into 0
1.177 * [backup-simplify]: Simplify 0 into 0
1.177 * [backup-simplify]: Simplify 0 into 0
1.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1.186 * [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)))))))
1.187 * [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)))))))
1.191 * [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))))))))))))
1.191 * * * [progress]: simplifying candidates
1.191 * * * * [progress]: [ 1 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1.192 * * * * [progress]: [ 2 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
1.192 * * * * [progress]: [ 3 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) (sqrt k)))>
1.192 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))
1.192 * * [simplify]: iters left: 6 (13 enodes)
1.200 * * [simplify]: iters left: 5 (54 enodes)
1.217 * * [simplify]: iters left: 4 (97 enodes)
1.245 * * [simplify]: iters left: 3 (250 enodes)
1.356 * * [simplify]: Extracting #0: cost 1 inf + 0
1.356 * * [simplify]: Extracting #1: cost 34 inf + 0
1.356 * * [simplify]: Extracting #2: cost 100 inf + 73
1.358 * * [simplify]: Extracting #3: cost 126 inf + 1867
1.364 * * [simplify]: Extracting #4: cost 46 inf + 20363
1.377 * * [simplify]: Extracting #5: cost 5 inf + 31901
1.389 * * [simplify]: Extracting #6: cost 0 inf + 33789
1.397 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)
1.397 * [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)))
1.397 * * * * [progress]: [ 4 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1.397 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))
1.397 * * [simplify]: iters left: 6 (12 enodes)
1.401 * * [simplify]: iters left: 5 (52 enodes)
1.410 * * [simplify]: iters left: 4 (90 enodes)
1.431 * * [simplify]: iters left: 3 (207 enodes)
1.505 * * [simplify]: Extracting #0: cost 1 inf + 0
1.505 * * [simplify]: Extracting #1: cost 29 inf + 0
1.505 * * [simplify]: Extracting #2: cost 88 inf + 73
1.506 * * [simplify]: Extracting #3: cost 117 inf + 443
1.507 * * [simplify]: Extracting #4: cost 77 inf + 5789
1.510 * * [simplify]: Extracting #5: cost 28 inf + 17508
1.516 * * [simplify]: Extracting #6: cost 0 inf + 26056
1.523 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)
1.523 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k)))
1.524 * * * * [progress]: [ 5 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1.524 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
1.524 * * [simplify]: iters left: 6 (11 enodes)
1.530 * * [simplify]: iters left: 5 (51 enodes)
1.547 * * [simplify]: iters left: 4 (97 enodes)
1.581 * * [simplify]: iters left: 3 (201 enodes)
1.656 * * [simplify]: Extracting #0: cost 1 inf + 0
1.656 * * [simplify]: Extracting #1: cost 31 inf + 0
1.657 * * [simplify]: Extracting #2: cost 94 inf + 2
1.658 * * [simplify]: Extracting #3: cost 127 inf + 355
1.661 * * [simplify]: Extracting #4: cost 75 inf + 7402
1.667 * * [simplify]: Extracting #5: cost 31 inf + 16283
1.677 * * [simplify]: Extracting #6: cost 3 inf + 23308
1.687 * * [simplify]: Extracting #7: cost 0 inf + 24140
1.698 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)
1.698 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k)))
1.698 * * * * [progress]: [ 6 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1.698 * * * * [progress]: [ 7 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
1.698 * [simplify]: Simplifying (* n (* 2 PI))
1.698 * * [simplify]: iters left: 4 (5 enodes)
1.701 * * [simplify]: iters left: 3 (19 enodes)
1.707 * * [simplify]: iters left: 2 (27 enodes)
1.715 * * [simplify]: iters left: 1 (32 enodes)
1.724 * * [simplify]: Extracting #0: cost 1 inf + 0
1.724 * * [simplify]: Extracting #1: cost 8 inf + 0
1.724 * * [simplify]: Extracting #2: cost 7 inf + 45
1.724 * * [simplify]: Extracting #3: cost 0 inf + 421
1.724 * [simplify]: Simplified to (* (* PI 2) n)
1.724 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
1.724 * * * * [progress]: [ 8 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
1.725 * [simplify]: Simplifying (* n (* 2 PI))
1.725 * * [simplify]: iters left: 4 (5 enodes)
1.728 * * [simplify]: iters left: 3 (19 enodes)
1.733 * * [simplify]: iters left: 2 (27 enodes)
1.737 * * [simplify]: iters left: 1 (32 enodes)
1.741 * * [simplify]: Extracting #0: cost 1 inf + 0
1.741 * * [simplify]: Extracting #1: cost 8 inf + 0
1.741 * * [simplify]: Extracting #2: cost 7 inf + 45
1.742 * * [simplify]: Extracting #3: cost 0 inf + 421
1.742 * [simplify]: Simplified to (* (* PI 2) n)
1.742 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
1.742 * * * * [progress]: [ 9 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
1.742 * [simplify]: Simplifying (* n (* 2 PI))
1.742 * * [simplify]: iters left: 4 (5 enodes)
1.743 * * [simplify]: iters left: 3 (19 enodes)
1.746 * * [simplify]: iters left: 2 (27 enodes)
1.753 * * [simplify]: iters left: 1 (32 enodes)
1.757 * * [simplify]: Extracting #0: cost 1 inf + 0
1.757 * * [simplify]: Extracting #1: cost 8 inf + 0
1.757 * * [simplify]: Extracting #2: cost 7 inf + 45
1.757 * * [simplify]: Extracting #3: cost 0 inf + 421
1.757 * [simplify]: Simplified to (* (* PI 2) n)
1.757 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
1.758 * * * * [progress]: [ 10 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
1.758 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2))
1.758 * * [simplify]: iters left: 5 (8 enodes)
1.760 * * [simplify]: iters left: 4 (31 enodes)
1.770 * * [simplify]: iters left: 3 (51 enodes)
1.787 * * [simplify]: iters left: 2 (85 enodes)
1.814 * * [simplify]: iters left: 1 (152 enodes)
1.852 * * [simplify]: Extracting #0: cost 1 inf + 0
1.852 * * [simplify]: Extracting #1: cost 13 inf + 0
1.852 * * [simplify]: Extracting #2: cost 59 inf + 1
1.852 * * [simplify]: Extracting #3: cost 76 inf + 9
1.853 * * [simplify]: Extracting #4: cost 41 inf + 3303
1.854 * * [simplify]: Extracting #5: cost 16 inf + 10676
1.859 * * [simplify]: Extracting #6: cost 0 inf + 21028
1.862 * * [simplify]: Extracting #7: cost 0 inf + 20456
1.865 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1.865 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
1.865 * * * * [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)))>
1.865 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2))
1.865 * * [simplify]: iters left: 5 (6 enodes)
1.868 * * [simplify]: iters left: 4 (26 enodes)
1.877 * * [simplify]: iters left: 3 (35 enodes)
1.888 * * [simplify]: Extracting #0: cost 1 inf + 0
1.888 * * [simplify]: Extracting #1: cost 3 inf + 0
1.888 * * [simplify]: Extracting #2: cost 8 inf + 0
1.888 * * [simplify]: Extracting #3: cost 11 inf + 2
1.888 * * [simplify]: Extracting #4: cost 8 inf + 87
1.889 * * [simplify]: Extracting #5: cost 2 inf + 500
1.889 * * [simplify]: Extracting #6: cost 0 inf + 746
1.889 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2))
1.889 * [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)))
1.890 * * * * [progress]: [ 12 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))>
1.890 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2))
1.890 * * [simplify]: iters left: 5 (6 enodes)
1.894 * * [simplify]: iters left: 4 (26 enodes)
1.900 * * [simplify]: iters left: 3 (35 enodes)
1.905 * * [simplify]: Extracting #0: cost 1 inf + 0
1.905 * * [simplify]: Extracting #1: cost 3 inf + 0
1.905 * * [simplify]: Extracting #2: cost 8 inf + 0
1.905 * * [simplify]: Extracting #3: cost 11 inf + 2
1.906 * * [simplify]: Extracting #4: cost 8 inf + 87
1.906 * * [simplify]: Extracting #5: cost 2 inf + 460
1.906 * * [simplify]: Extracting #6: cost 0 inf + 666
1.906 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2))
1.906 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))
1.906 * * * * [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)))>
1.906 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2))
1.906 * * [simplify]: iters left: 5 (7 enodes)
1.909 * * [simplify]: iters left: 4 (25 enodes)
1.913 * * [simplify]: iters left: 3 (30 enodes)
1.918 * * [simplify]: Extracting #0: cost 1 inf + 0
1.918 * * [simplify]: Extracting #1: cost 4 inf + 0
1.918 * * [simplify]: Extracting #2: cost 8 inf + 0
1.918 * * [simplify]: Extracting #3: cost 10 inf + 82
1.918 * * [simplify]: Extracting #4: cost 7 inf + 206
1.918 * * [simplify]: Extracting #5: cost 2 inf + 575
1.918 * * [simplify]: Extracting #6: cost 1 inf + 818
1.919 * * [simplify]: Extracting #7: cost 0 inf + 1061
1.919 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2))
1.919 * [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)))
1.919 * * * * [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)))>
1.919 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2))
1.919 * * [simplify]: iters left: 5 (7 enodes)
1.921 * * [simplify]: iters left: 4 (25 enodes)
1.926 * * [simplify]: iters left: 3 (30 enodes)
1.931 * * [simplify]: Extracting #0: cost 1 inf + 0
1.931 * * [simplify]: Extracting #1: cost 4 inf + 0
1.931 * * [simplify]: Extracting #2: cost 8 inf + 0
1.931 * * [simplify]: Extracting #3: cost 10 inf + 42
1.931 * * [simplify]: Extracting #4: cost 7 inf + 126
1.931 * * [simplify]: Extracting #5: cost 2 inf + 495
1.931 * * [simplify]: Extracting #6: cost 1 inf + 698
1.931 * * [simplify]: Extracting #7: cost 0 inf + 901
1.932 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2))
1.932 * [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)))
1.932 * * * * [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)))>
1.932 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2)
1.932 * * [simplify]: iters left: 5 (6 enodes)
1.934 * * [simplify]: iters left: 4 (22 enodes)
1.937 * * [simplify]: iters left: 3 (27 enodes)
1.941 * * [simplify]: Extracting #0: cost 1 inf + 0
1.941 * * [simplify]: Extracting #1: cost 4 inf + 0
1.941 * * [simplify]: Extracting #2: cost 5 inf + 1
1.942 * * [simplify]: Extracting #3: cost 9 inf + 1
1.942 * * [simplify]: Extracting #4: cost 8 inf + 3
1.942 * * [simplify]: Extracting #5: cost 4 inf + 169
1.942 * * [simplify]: Extracting #6: cost 1 inf + 576
1.942 * * [simplify]: Extracting #7: cost 0 inf + 739
1.942 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
1.942 * [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)))
1.942 * * * * [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)))>
1.942 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2))
1.942 * * [simplify]: iters left: 5 (7 enodes)
1.945 * * [simplify]: iters left: 4 (25 enodes)
1.953 * * [simplify]: iters left: 3 (30 enodes)
1.962 * * [simplify]: Extracting #0: cost 1 inf + 0
1.962 * * [simplify]: Extracting #1: cost 4 inf + 0
1.962 * * [simplify]: Extracting #2: cost 8 inf + 0
1.962 * * [simplify]: Extracting #3: cost 10 inf + 82
1.962 * * [simplify]: Extracting #4: cost 7 inf + 206
1.963 * * [simplify]: Extracting #5: cost 2 inf + 495
1.963 * * [simplify]: Extracting #6: cost 1 inf + 698
1.963 * * [simplify]: Extracting #7: cost 0 inf + 901
1.963 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2))
1.964 * [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)))
1.964 * * * * [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)))>
1.966 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2))
1.966 * * [simplify]: iters left: 5 (7 enodes)
1.971 * * [simplify]: iters left: 4 (25 enodes)
1.980 * * [simplify]: iters left: 3 (30 enodes)
1.989 * * [simplify]: Extracting #0: cost 1 inf + 0
1.989 * * [simplify]: Extracting #1: cost 4 inf + 0
1.989 * * [simplify]: Extracting #2: cost 8 inf + 0
1.989 * * [simplify]: Extracting #3: cost 10 inf + 42
1.989 * * [simplify]: Extracting #4: cost 7 inf + 126
1.989 * * [simplify]: Extracting #5: cost 2 inf + 415
1.990 * * [simplify]: Extracting #6: cost 1 inf + 578
1.990 * * [simplify]: Extracting #7: cost 0 inf + 741
1.990 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2))
1.990 * [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)))
1.991 * * * * [progress]: [ 18 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))>
1.991 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2)
1.991 * * [simplify]: iters left: 5 (6 enodes)
1.994 * * [simplify]: iters left: 4 (22 enodes)
2.002 * * [simplify]: iters left: 3 (27 enodes)
2.010 * * [simplify]: Extracting #0: cost 1 inf + 0
2.010 * * [simplify]: Extracting #1: cost 4 inf + 0
2.010 * * [simplify]: Extracting #2: cost 5 inf + 1
2.010 * * [simplify]: Extracting #3: cost 9 inf + 1
2.010 * * [simplify]: Extracting #4: cost 8 inf + 3
2.010 * * [simplify]: Extracting #5: cost 4 inf + 169
2.010 * * [simplify]: Extracting #6: cost 1 inf + 456
2.011 * * [simplify]: Extracting #7: cost 0 inf + 579
2.011 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
2.011 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))
2.011 * * * * [progress]: [ 19 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.011 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
2.012 * * [simplify]: iters left: 4 (6 enodes)
2.015 * * [simplify]: iters left: 3 (25 enodes)
2.024 * * [simplify]: iters left: 2 (36 enodes)
2.035 * * [simplify]: iters left: 1 (40 enodes)
2.047 * * [simplify]: Extracting #0: cost 1 inf + 0
2.047 * * [simplify]: Extracting #1: cost 7 inf + 0
2.047 * * [simplify]: Extracting #2: cost 16 inf + 0
2.047 * * [simplify]: Extracting #3: cost 13 inf + 44
2.048 * * [simplify]: Extracting #4: cost 3 inf + 1103
2.048 * * [simplify]: Extracting #5: cost 0 inf + 1469
2.049 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
2.049 * [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)))
2.049 * * * * [progress]: [ 20 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.049 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
2.050 * * [simplify]: iters left: 4 (6 enodes)
2.054 * * [simplify]: iters left: 3 (25 enodes)
2.063 * * [simplify]: iters left: 2 (36 enodes)
2.074 * * [simplify]: iters left: 1 (40 enodes)
2.086 * * [simplify]: Extracting #0: cost 1 inf + 0
2.086 * * [simplify]: Extracting #1: cost 7 inf + 0
2.086 * * [simplify]: Extracting #2: cost 16 inf + 0
2.086 * * [simplify]: Extracting #3: cost 13 inf + 44
2.087 * * [simplify]: Extracting #4: cost 3 inf + 823
2.087 * * [simplify]: Extracting #5: cost 0 inf + 1069
2.088 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
2.088 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))
2.088 * * * * [progress]: [ 21 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.088 * [simplify]: Simplifying (/ (- 1 k) 2)
2.088 * * [simplify]: iters left: 4 (5 enodes)
2.092 * * [simplify]: iters left: 3 (23 enodes)
2.100 * * [simplify]: iters left: 2 (32 enodes)
2.109 * * [simplify]: Extracting #0: cost 1 inf + 0
2.109 * * [simplify]: Extracting #1: cost 6 inf + 0
2.110 * * [simplify]: Extracting #2: cost 9 inf + 2
2.110 * * [simplify]: Extracting #3: cost 6 inf + 87
2.110 * * [simplify]: Extracting #4: cost 0 inf + 420
2.110 * [simplify]: Simplified to (/ (- 1 k) 2)
2.110 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))
2.110 * * * * [progress]: [ 22 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k)))>
2.111 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2))
2.111 * * [simplify]: iters left: 5 (8 enodes)
2.116 * * [simplify]: iters left: 4 (31 enodes)
2.129 * * [simplify]: iters left: 3 (45 enodes)
2.143 * * [simplify]: iters left: 2 (51 enodes)
2.157 * * [simplify]: iters left: 1 (52 enodes)
2.171 * * [simplify]: Extracting #0: cost 1 inf + 0
2.171 * * [simplify]: Extracting #1: cost 8 inf + 0
2.171 * * [simplify]: Extracting #2: cost 18 inf + 0
2.171 * * [simplify]: Extracting #3: cost 19 inf + 2
2.171 * * [simplify]: Extracting #4: cost 9 inf + 977
2.172 * * [simplify]: Extracting #5: cost 2 inf + 1790
2.173 * * [simplify]: Extracting #6: cost 0 inf + 2195
2.173 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
2.173 * [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)))
2.174 * * * * [progress]: [ 23 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k)))>
2.174 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2))
2.174 * * [simplify]: iters left: 5 (8 enodes)
2.179 * * [simplify]: iters left: 4 (31 enodes)
2.190 * * [simplify]: iters left: 3 (45 enodes)
2.203 * * [simplify]: iters left: 2 (51 enodes)
2.218 * * [simplify]: iters left: 1 (52 enodes)
2.232 * * [simplify]: Extracting #0: cost 1 inf + 0
2.232 * * [simplify]: Extracting #1: cost 8 inf + 0
2.232 * * [simplify]: Extracting #2: cost 18 inf + 0
2.232 * * [simplify]: Extracting #3: cost 19 inf + 2
2.232 * * [simplify]: Extracting #4: cost 9 inf + 697
2.233 * * [simplify]: Extracting #5: cost 2 inf + 1390
2.234 * * [simplify]: Extracting #6: cost 0 inf + 1715
2.234 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
2.234 * [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)))
2.235 * * * * [progress]: [ 24 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k)))>
2.235 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2)
2.235 * * [simplify]: iters left: 5 (7 enodes)
2.240 * * [simplify]: iters left: 4 (29 enodes)
2.249 * * [simplify]: iters left: 3 (43 enodes)
2.260 * * [simplify]: iters left: 2 (47 enodes)
2.272 * * [simplify]: Extracting #0: cost 1 inf + 0
2.272 * * [simplify]: Extracting #1: cost 7 inf + 0
2.272 * * [simplify]: Extracting #2: cost 11 inf + 2
2.272 * * [simplify]: Extracting #3: cost 13 inf + 3
2.272 * * [simplify]: Extracting #4: cost 11 inf + 45
2.272 * * [simplify]: Extracting #5: cost 0 inf + 1066
2.273 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
2.273 * [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)))
2.273 * * * * [progress]: [ 25 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))>
2.273 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2))
2.273 * * [simplify]: iters left: 5 (7 enodes)
2.280 * * [simplify]: iters left: 4 (28 enodes)
2.289 * * [simplify]: iters left: 3 (39 enodes)
2.295 * * [simplify]: iters left: 2 (43 enodes)
2.302 * * [simplify]: Extracting #0: cost 1 inf + 0
2.302 * * [simplify]: Extracting #1: cost 7 inf + 0
2.302 * * [simplify]: Extracting #2: cost 16 inf + 0
2.302 * * [simplify]: Extracting #3: cost 15 inf + 164
2.302 * * [simplify]: Extracting #4: cost 13 inf + 287
2.302 * * [simplify]: Extracting #5: cost 5 inf + 1180
2.303 * * [simplify]: Extracting #6: cost 0 inf + 1951
2.303 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
2.303 * [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)))
2.303 * * * * [progress]: [ 26 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))>
2.303 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2))
2.303 * * [simplify]: iters left: 5 (7 enodes)
2.306 * * [simplify]: iters left: 4 (28 enodes)
2.310 * * [simplify]: iters left: 3 (39 enodes)
2.317 * * [simplify]: iters left: 2 (43 enodes)
2.323 * * [simplify]: Extracting #0: cost 1 inf + 0
2.323 * * [simplify]: Extracting #1: cost 7 inf + 0
2.323 * * [simplify]: Extracting #2: cost 16 inf + 0
2.323 * * [simplify]: Extracting #3: cost 15 inf + 84
2.323 * * [simplify]: Extracting #4: cost 13 inf + 167
2.324 * * [simplify]: Extracting #5: cost 5 inf + 900
2.324 * * [simplify]: Extracting #6: cost 0 inf + 1551
2.325 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
2.325 * [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)))
2.325 * * * * [progress]: [ 27 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>
2.325 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2)
2.325 * * [simplify]: iters left: 5 (6 enodes)
2.329 * * [simplify]: iters left: 4 (26 enodes)
2.338 * * [simplify]: iters left: 3 (35 enodes)
2.348 * * [simplify]: Extracting #0: cost 1 inf + 0
2.349 * * [simplify]: Extracting #1: cost 6 inf + 0
2.349 * * [simplify]: Extracting #2: cost 9 inf + 2
2.349 * * [simplify]: Extracting #3: cost 11 inf + 3
2.349 * * [simplify]: Extracting #4: cost 10 inf + 4
2.349 * * [simplify]: Extracting #5: cost 3 inf + 535
2.349 * * [simplify]: Extracting #6: cost 0 inf + 822
2.350 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
2.350 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))
2.350 * * * * [progress]: [ 28 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.350 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
2.350 * * [simplify]: iters left: 4 (6 enodes)
2.354 * * [simplify]: iters left: 3 (25 enodes)
2.363 * * [simplify]: iters left: 2 (36 enodes)
2.374 * * [simplify]: iters left: 1 (40 enodes)
2.385 * * [simplify]: Extracting #0: cost 1 inf + 0
2.386 * * [simplify]: Extracting #1: cost 7 inf + 0
2.386 * * [simplify]: Extracting #2: cost 16 inf + 0
2.386 * * [simplify]: Extracting #3: cost 13 inf + 44
2.386 * * [simplify]: Extracting #4: cost 3 inf + 1103
2.387 * * [simplify]: Extracting #5: cost 0 inf + 1469
2.387 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
2.387 * [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)))
2.387 * * * * [progress]: [ 29 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.387 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
2.388 * * [simplify]: iters left: 4 (6 enodes)
2.392 * * [simplify]: iters left: 3 (25 enodes)
2.401 * * [simplify]: iters left: 2 (36 enodes)
2.415 * * [simplify]: iters left: 1 (40 enodes)
2.423 * * [simplify]: Extracting #0: cost 1 inf + 0
2.423 * * [simplify]: Extracting #1: cost 7 inf + 0
2.423 * * [simplify]: Extracting #2: cost 16 inf + 0
2.423 * * [simplify]: Extracting #3: cost 13 inf + 44
2.424 * * [simplify]: Extracting #4: cost 3 inf + 823
2.424 * * [simplify]: Extracting #5: cost 0 inf + 1069
2.424 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
2.424 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))
2.424 * * * * [progress]: [ 30 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.424 * [simplify]: Simplifying (/ (- 1 k) 2)
2.424 * * [simplify]: iters left: 4 (5 enodes)
2.426 * * [simplify]: iters left: 3 (23 enodes)
2.430 * * [simplify]: iters left: 2 (32 enodes)
2.435 * * [simplify]: Extracting #0: cost 1 inf + 0
2.435 * * [simplify]: Extracting #1: cost 6 inf + 0
2.435 * * [simplify]: Extracting #2: cost 9 inf + 2
2.435 * * [simplify]: Extracting #3: cost 6 inf + 87
2.435 * * [simplify]: Extracting #4: cost 0 inf + 420
2.436 * [simplify]: Simplified to (/ (- 1 k) 2)
2.436 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))
2.436 * * * * [progress]: [ 31 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.436 * [simplify]: Simplifying (/ (- 1 k) 2)
2.436 * * [simplify]: iters left: 4 (5 enodes)
2.438 * * [simplify]: iters left: 3 (23 enodes)
2.442 * * [simplify]: iters left: 2 (32 enodes)
2.446 * * [simplify]: Extracting #0: cost 1 inf + 0
2.446 * * [simplify]: Extracting #1: cost 6 inf + 0
2.446 * * [simplify]: Extracting #2: cost 9 inf + 2
2.446 * * [simplify]: Extracting #3: cost 6 inf + 87
2.447 * * [simplify]: Extracting #4: cost 0 inf + 420
2.447 * [simplify]: Simplified to (/ (- 1 k) 2)
2.447 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))
2.447 * * * * [progress]: [ 32 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)) (sqrt k)))>
2.447 * [simplify]: Simplifying (/ 1 2)
2.447 * * [simplify]: iters left: 2 (3 enodes)
2.449 * * [simplify]: iters left: 1 (12 enodes)
2.451 * * [simplify]: Extracting #0: cost 1 inf + 0
2.451 * * [simplify]: Extracting #1: cost 0 inf + 1
2.451 * [simplify]: Simplified to 1/2
2.451 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k)))
2.451 * * * * [progress]: [ 33 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))>
2.451 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
2.451 * * [simplify]: iters left: 5 (7 enodes)
2.455 * * [simplify]: iters left: 4 (32 enodes)
2.467 * * [simplify]: iters left: 3 (57 enodes)
2.482 * * [simplify]: iters left: 2 (88 enodes)
2.498 * * [simplify]: iters left: 1 (156 enodes)
2.550 * * [simplify]: Extracting #0: cost 1 inf + 0
2.550 * * [simplify]: Extracting #1: cost 13 inf + 0
2.550 * * [simplify]: Extracting #2: cost 49 inf + 2
2.551 * * [simplify]: Extracting #3: cost 80 inf + 6
2.552 * * [simplify]: Extracting #4: cost 58 inf + 1840
2.555 * * [simplify]: Extracting #5: cost 22 inf + 9206
2.558 * * [simplify]: Extracting #6: cost 1 inf + 20886
2.561 * * [simplify]: Extracting #7: cost 0 inf + 21301
2.564 * * [simplify]: Extracting #8: cost 0 inf + 21130
2.567 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
2.567 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))
2.567 * * * * [progress]: [ 34 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
2.567 * * * * [progress]: [ 35 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.568 * * * * [progress]: [ 36 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.568 * * * * [progress]: [ 37 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.568 * * * * [progress]: [ 38 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.568 * * * * [progress]: [ 39 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.568 * * * * [progress]: [ 40 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))>
2.568 * * * * [progress]: [ 41 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
2.568 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
2.568 * * * * [progress]: [ 43 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.568 * * * * [progress]: [ 44 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.568 * * * * [progress]: [ 45 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.568 * [simplify]: Simplifying (* n (* 2 PI))
2.568 * * [simplify]: iters left: 4 (5 enodes)
2.570 * * [simplify]: iters left: 3 (19 enodes)
2.573 * * [simplify]: iters left: 2 (27 enodes)
2.577 * * [simplify]: iters left: 1 (32 enodes)
2.585 * * [simplify]: Extracting #0: cost 1 inf + 0
2.585 * * [simplify]: Extracting #1: cost 8 inf + 0
2.585 * * [simplify]: Extracting #2: cost 7 inf + 45
2.585 * * [simplify]: Extracting #3: cost 0 inf + 421
2.586 * [simplify]: Simplified to (* (* PI 2) n)
2.586 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))
2.586 * * * * [progress]: [ 46 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.586 * [simplify]: Simplifying (* n (* 2 PI))
2.587 * * [simplify]: iters left: 4 (5 enodes)
2.589 * * [simplify]: iters left: 3 (19 enodes)
2.595 * * [simplify]: iters left: 2 (27 enodes)
2.603 * * [simplify]: iters left: 1 (32 enodes)
2.611 * * [simplify]: Extracting #0: cost 1 inf + 0
2.611 * * [simplify]: Extracting #1: cost 8 inf + 0
2.612 * * [simplify]: Extracting #2: cost 7 inf + 45
2.612 * * [simplify]: Extracting #3: cost 0 inf + 421
2.612 * [simplify]: Simplified to (* (* PI 2) n)
2.612 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))
2.612 * * * * [progress]: [ 47 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.612 * * * * [progress]: [ 48 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.613 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
2.613 * * [simplify]: iters left: 5 (8 enodes)
2.617 * * [simplify]: iters left: 4 (28 enodes)
2.628 * * [simplify]: iters left: 3 (36 enodes)
2.638 * * [simplify]: iters left: 2 (42 enodes)
2.649 * * [simplify]: Extracting #0: cost 1 inf + 0
2.649 * * [simplify]: Extracting #1: cost 8 inf + 0
2.650 * * [simplify]: Extracting #2: cost 17 inf + 0
2.650 * * [simplify]: Extracting #3: cost 12 inf + 145
2.650 * * [simplify]: Extracting #4: cost 5 inf + 1197
2.651 * * [simplify]: Extracting #5: cost 1 inf + 1925
2.651 * * [simplify]: Extracting #6: cost 0 inf + 2107
2.652 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
2.652 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))
2.652 * * * * [progress]: [ 49 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.652 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
2.652 * * [simplify]: iters left: 5 (7 enodes)
2.656 * * [simplify]: iters left: 4 (26 enodes)
2.664 * * [simplify]: iters left: 3 (35 enodes)
2.669 * * [simplify]: iters left: 2 (44 enodes)
2.675 * * [simplify]: Extracting #0: cost 1 inf + 0
2.675 * * [simplify]: Extracting #1: cost 8 inf + 0
2.676 * * [simplify]: Extracting #2: cost 18 inf + 0
2.676 * * [simplify]: Extracting #3: cost 15 inf + 74
2.676 * * [simplify]: Extracting #4: cost 8 inf + 554
2.676 * * [simplify]: Extracting #5: cost 0 inf + 1911
2.676 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
2.676 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))
2.676 * * * * [progress]: [ 50 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.676 * * * * [progress]: [ 51 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.677 * * * * [progress]: [ 52 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)) (sqrt k)))>
2.677 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
2.677 * * [simplify]: iters left: 6 (11 enodes)
2.681 * * [simplify]: iters left: 5 (48 enodes)
2.690 * * [simplify]: iters left: 4 (121 enodes)
2.737 * * [simplify]: iters left: 3 (348 enodes)
2.972 * * [simplify]: Extracting #0: cost 1 inf + 0
2.972 * * [simplify]: Extracting #1: cost 67 inf + 0
2.973 * * [simplify]: Extracting #2: cost 165 inf + 786
2.975 * * [simplify]: Extracting #3: cost 85 inf + 10177
2.982 * * [simplify]: Extracting #4: cost 9 inf + 26399
2.996 * * [simplify]: Extracting #5: cost 0 inf + 28546
3.009 * * [simplify]: Extracting #6: cost 0 inf + 28506
3.021 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
3.021 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k)))
3.022 * * * * [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)))>
3.022 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
3.022 * * [simplify]: iters left: 6 (9 enodes)
3.028 * * [simplify]: iters left: 5 (45 enodes)
3.046 * * [simplify]: iters left: 4 (117 enodes)
3.111 * * [simplify]: iters left: 3 (374 enodes)
3.347 * * [simplify]: Extracting #0: cost 1 inf + 0
3.347 * * [simplify]: Extracting #1: cost 77 inf + 0
3.349 * * [simplify]: Extracting #2: cost 184 inf + 984
3.355 * * [simplify]: Extracting #3: cost 106 inf + 11690
3.377 * * [simplify]: Extracting #4: cost 6 inf + 30376
3.392 * * [simplify]: Extracting #5: cost 0 inf + 31644
3.402 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
3.402 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k)))
3.402 * * * * [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)))>
3.402 * * * * [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)))>
3.402 * * * * [progress]: [ 56 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
3.402 * * * * [progress]: [ 57 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
3.402 * * * * [progress]: [ 58 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))>
3.402 * * * * [progress]: [ 59 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
3.402 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
3.403 * * [simplify]: iters left: 3 (3 enodes)
3.403 * * [simplify]: iters left: 2 (9 enodes)
3.405 * * [simplify]: Extracting #0: cost 1 inf + 0
3.405 * * [simplify]: Extracting #1: cost 3 inf + 0
3.405 * * [simplify]: Extracting #2: cost 5 inf + 0
3.405 * * [simplify]: Extracting #3: cost 4 inf + 1
3.405 * * [simplify]: Extracting #4: cost 0 inf + 405
3.405 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
3.405 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))
3.405 * * * * [progress]: [ 60 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
3.405 * [simplify]: Simplifying (sqrt n)
3.405 * * [simplify]: iters left: 1 (2 enodes)
3.406 * * [simplify]: Extracting #0: cost 1 inf + 0
3.406 * * [simplify]: Extracting #1: cost 3 inf + 0
3.406 * * [simplify]: Extracting #2: cost 2 inf + 1
3.406 * * [simplify]: Extracting #3: cost 0 inf + 83
3.406 * [simplify]: Simplified to (sqrt n)
3.406 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))
3.406 * * * * [progress]: [ 61 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
3.406 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
3.406 * * * * [progress]: [ 63 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))>
3.406 * * * * [progress]: [ 64 / 133 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
3.406 * * * * [progress]: [ 65 / 133 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
3.406 * * * * [progress]: [ 66 / 133 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 1))>
3.406 * * * * [progress]: [ 67 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
3.406 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))
3.406 * * [simplify]: iters left: 6 (16 enodes)
3.411 * * [simplify]: iters left: 5 (66 enodes)
3.422 * * [simplify]: iters left: 4 (113 enodes)
3.446 * * [simplify]: iters left: 3 (306 enodes)
3.570 * * [simplify]: Extracting #0: cost 1 inf + 0
3.570 * * [simplify]: Extracting #1: cost 33 inf + 0
3.571 * * [simplify]: Extracting #2: cost 89 inf + 0
3.572 * * [simplify]: Extracting #3: cost 132 inf + 603
3.576 * * [simplify]: Extracting #4: cost 115 inf + 7823
3.589 * * [simplify]: Extracting #5: cost 21 inf + 36693
3.604 * * [simplify]: Extracting #6: cost 0 inf + 43786
3.614 * * [simplify]: Extracting #7: cost 0 inf + 43785
3.623 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k)))
3.623 * [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)))))
3.623 * * * * [progress]: [ 68 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
3.624 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
3.624 * * [simplify]: iters left: 6 (15 enodes)
3.632 * * [simplify]: iters left: 5 (64 enodes)
3.655 * * [simplify]: iters left: 4 (106 enodes)
3.676 * * [simplify]: iters left: 3 (247 enodes)
3.762 * * [simplify]: Extracting #0: cost 1 inf + 0
3.762 * * [simplify]: Extracting #1: cost 29 inf + 0
3.762 * * [simplify]: Extracting #2: cost 82 inf + 0
3.762 * * [simplify]: Extracting #3: cost 122 inf + 147
3.763 * * [simplify]: Extracting #4: cost 128 inf + 2275
3.767 * * [simplify]: Extracting #5: cost 42 inf + 21718
3.774 * * [simplify]: Extracting #6: cost 4 inf + 33778
3.786 * * [simplify]: Extracting #7: cost 0 inf + 35144
3.801 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))
3.801 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))))
3.802 * * * * [progress]: [ 69 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
3.802 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
3.802 * * [simplify]: iters left: 6 (14 enodes)
3.810 * * [simplify]: iters left: 5 (63 enodes)
3.835 * * [simplify]: iters left: 4 (113 enodes)
3.858 * * [simplify]: iters left: 3 (229 enodes)
3.952 * * [simplify]: Extracting #0: cost 1 inf + 0
3.952 * * [simplify]: Extracting #1: cost 23 inf + 0
3.953 * * [simplify]: Extracting #2: cost 83 inf + 0
3.953 * * [simplify]: Extracting #3: cost 120 inf + 284
3.954 * * [simplify]: Extracting #4: cost 111 inf + 4879
3.958 * * [simplify]: Extracting #5: cost 26 inf + 24636
3.965 * * [simplify]: Extracting #6: cost 0 inf + 31546
3.972 * * [simplify]: Extracting #7: cost 0 inf + 31046
3.979 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
3.979 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
3.979 * * * * [progress]: [ 70 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
3.980 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
3.980 * * [simplify]: iters left: 6 (14 enodes)
3.987 * * [simplify]: iters left: 5 (63 enodes)
4.007 * * [simplify]: iters left: 4 (113 enodes)
4.051 * * [simplify]: iters left: 3 (229 enodes)
4.138 * * [simplify]: Extracting #0: cost 1 inf + 0
4.138 * * [simplify]: Extracting #1: cost 23 inf + 0
4.139 * * [simplify]: Extracting #2: cost 83 inf + 0
4.139 * * [simplify]: Extracting #3: cost 120 inf + 284
4.142 * * [simplify]: Extracting #4: cost 111 inf + 4879
4.150 * * [simplify]: Extracting #5: cost 26 inf + 24636
4.163 * * [simplify]: Extracting #6: cost 0 inf + 31546
4.177 * * [simplify]: Extracting #7: cost 0 inf + 31046
4.190 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
4.190 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
4.190 * * * * [progress]: [ 71 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))))>
4.190 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))
4.190 * * [simplify]: iters left: 6 (14 enodes)
4.198 * * [simplify]: iters left: 5 (61 enodes)
4.219 * * [simplify]: iters left: 4 (112 enodes)
4.256 * * [simplify]: iters left: 3 (219 enodes)
4.346 * * [simplify]: Extracting #0: cost 1 inf + 0
4.346 * * [simplify]: Extracting #1: cost 24 inf + 0
4.346 * * [simplify]: Extracting #2: cost 109 inf + 0
4.347 * * [simplify]: Extracting #3: cost 171 inf + 75
4.347 * * [simplify]: Extracting #4: cost 167 inf + 904
4.350 * * [simplify]: Extracting #5: cost 91 inf + 14562
4.356 * * [simplify]: Extracting #6: cost 10 inf + 36286
4.363 * * [simplify]: Extracting #7: cost 0 inf + 40306
4.373 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))
4.373 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k)))))
4.373 * * * * [progress]: [ 72 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
4.373 * * * * [progress]: [ 73 / 133 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
4.373 * * * * [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)))))>
4.374 * [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)))
4.374 * * [simplify]: iters left: 6 (16 enodes)
4.383 * * [simplify]: iters left: 5 (72 enodes)
4.413 * * [simplify]: iters left: 4 (165 enodes)
4.464 * * [simplify]: iters left: 3 (474 enodes)
4.728 * * [simplify]: Extracting #0: cost 1 inf + 0
4.728 * * [simplify]: Extracting #1: cost 172 inf + 0
4.730 * * [simplify]: Extracting #2: cost 449 inf + 1
4.732 * * [simplify]: Extracting #3: cost 500 inf + 248
4.734 * * [simplify]: Extracting #4: cost 485 inf + 2081
4.742 * * [simplify]: Extracting #5: cost 365 inf + 63723
4.780 * * [simplify]: Extracting #6: cost 66 inf + 281431
4.879 * * [simplify]: Extracting #7: cost 0 inf + 324121
4.948 * * [simplify]: Extracting #8: cost 0 inf + 321869
5.020 * [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))))
5.020 * [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))))))
5.020 * * * * [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)))))>
5.020 * * * * [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)))))>
5.020 * * * * [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)))))>
5.021 * * * * [progress]: [ 78 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k))))>
5.021 * * * * [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)))))>
5.021 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
5.021 * * [simplify]: iters left: 6 (11 enodes)
5.027 * * [simplify]: iters left: 5 (46 enodes)
5.043 * * [simplify]: iters left: 4 (79 enodes)
5.070 * * [simplify]: iters left: 3 (135 enodes)
5.122 * * [simplify]: iters left: 2 (270 enodes)
5.244 * * [simplify]: Extracting #0: cost 1 inf + 0
5.244 * * [simplify]: Extracting #1: cost 56 inf + 0
5.245 * * [simplify]: Extracting #2: cost 151 inf + 0
5.246 * * [simplify]: Extracting #3: cost 211 inf + 3
5.249 * * [simplify]: Extracting #4: cost 182 inf + 8248
5.259 * * [simplify]: Extracting #5: cost 108 inf + 32321
5.276 * * [simplify]: Extracting #6: cost 40 inf + 73343
5.302 * * [simplify]: Extracting #7: cost 0 inf + 103841
5.326 * * [simplify]: Extracting #8: cost 0 inf + 103639
5.339 * * [simplify]: Extracting #9: cost 0 inf + 103517
5.353 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
5.353 * [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)))))
5.354 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
5.354 * * [simplify]: iters left: 6 (11 enodes)
5.360 * * [simplify]: iters left: 5 (45 enodes)
5.377 * * [simplify]: iters left: 4 (68 enodes)
5.399 * * [simplify]: iters left: 3 (110 enodes)
5.439 * * [simplify]: iters left: 2 (217 enodes)
5.488 * * [simplify]: iters left: 1 (458 enodes)
5.654 * * [simplify]: Extracting #0: cost 1 inf + 0
5.654 * * [simplify]: Extracting #1: cost 45 inf + 0
5.655 * * [simplify]: Extracting #2: cost 132 inf + 0
5.656 * * [simplify]: Extracting #3: cost 212 inf + 3
5.657 * * [simplify]: Extracting #4: cost 213 inf + 801
5.660 * * [simplify]: Extracting #5: cost 140 inf + 15314
5.672 * * [simplify]: Extracting #6: cost 26 inf + 94405
5.696 * * [simplify]: Extracting #7: cost 0 inf + 113797
5.718 * * [simplify]: Extracting #8: cost 0 inf + 112990
5.739 * * [simplify]: Extracting #9: cost 0 inf + 111447
5.757 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k)))
5.758 * [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)))))
5.758 * * * * [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)))))>
5.758 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k))))
5.758 * * [simplify]: iters left: 6 (11 enodes)
5.761 * * [simplify]: iters left: 5 (45 enodes)
5.770 * * [simplify]: iters left: 4 (72 enodes)
5.786 * * [simplify]: iters left: 3 (113 enodes)
5.824 * * [simplify]: iters left: 2 (202 enodes)
5.871 * * [simplify]: iters left: 1 (423 enodes)
6.096 * * [simplify]: Extracting #0: cost 1 inf + 0
6.096 * * [simplify]: Extracting #1: cost 45 inf + 0
6.097 * * [simplify]: Extracting #2: cost 135 inf + 0
6.098 * * [simplify]: Extracting #3: cost 200 inf + 4
6.101 * * [simplify]: Extracting #4: cost 178 inf + 4357
6.110 * * [simplify]: Extracting #5: cost 104 inf + 31155
6.129 * * [simplify]: Extracting #6: cost 30 inf + 80538
6.154 * * [simplify]: Extracting #7: cost 0 inf + 106837
6.184 * * [simplify]: Extracting #8: cost 0 inf + 104726
6.201 * * [simplify]: Extracting #9: cost 0 inf + 104144
6.214 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k)))
6.214 * [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)))))
6.214 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))
6.214 * * [simplify]: iters left: 6 (11 enodes)
6.218 * * [simplify]: iters left: 5 (45 enodes)
6.227 * * [simplify]: iters left: 4 (68 enodes)
6.250 * * [simplify]: iters left: 3 (110 enodes)
6.274 * * [simplify]: iters left: 2 (217 enodes)
6.327 * * [simplify]: iters left: 1 (458 enodes)
6.512 * * [simplify]: Extracting #0: cost 1 inf + 0
6.512 * * [simplify]: Extracting #1: cost 45 inf + 0
6.513 * * [simplify]: Extracting #2: cost 132 inf + 0
6.514 * * [simplify]: Extracting #3: cost 212 inf + 3
6.515 * * [simplify]: Extracting #4: cost 213 inf + 841
6.518 * * [simplify]: Extracting #5: cost 140 inf + 15394
6.540 * * [simplify]: Extracting #6: cost 26 inf + 94485
6.562 * * [simplify]: Extracting #7: cost 0 inf + 113877
6.579 * * [simplify]: Extracting #8: cost 0 inf + 113070
6.603 * * [simplify]: Extracting #9: cost 0 inf + 111527
6.620 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k)))
6.620 * [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)))))
6.620 * * * * [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)))))>
6.620 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
6.620 * * [simplify]: iters left: 6 (10 enodes)
6.624 * * [simplify]: iters left: 5 (41 enodes)
6.633 * * [simplify]: iters left: 4 (68 enodes)
6.658 * * [simplify]: iters left: 3 (109 enodes)
6.691 * * [simplify]: iters left: 2 (194 enodes)
6.742 * * [simplify]: iters left: 1 (414 enodes)
6.972 * * [simplify]: Extracting #0: cost 1 inf + 0
6.973 * * [simplify]: Extracting #1: cost 45 inf + 0
6.973 * * [simplify]: Extracting #2: cost 141 inf + 0
6.975 * * [simplify]: Extracting #3: cost 206 inf + 4
6.978 * * [simplify]: Extracting #4: cost 180 inf + 9439
6.988 * * [simplify]: Extracting #5: cost 108 inf + 27286
7.010 * * [simplify]: Extracting #6: cost 36 inf + 72454
7.041 * * [simplify]: Extracting #7: cost 0 inf + 101831
7.060 * * [simplify]: Extracting #8: cost 0 inf + 101671
7.075 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
7.075 * [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)))))
7.076 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
7.076 * * [simplify]: iters left: 6 (11 enodes)
7.082 * * [simplify]: iters left: 5 (45 enodes)
7.097 * * [simplify]: iters left: 4 (68 enodes)
7.121 * * [simplify]: iters left: 3 (110 enodes)
7.155 * * [simplify]: iters left: 2 (217 enodes)
7.223 * * [simplify]: iters left: 1 (458 enodes)
7.422 * * [simplify]: Extracting #0: cost 1 inf + 0
7.422 * * [simplify]: Extracting #1: cost 45 inf + 0
7.423 * * [simplify]: Extracting #2: cost 132 inf + 0
7.423 * * [simplify]: Extracting #3: cost 212 inf + 3
7.425 * * [simplify]: Extracting #4: cost 213 inf + 761
7.427 * * [simplify]: Extracting #5: cost 140 inf + 15034
7.439 * * [simplify]: Extracting #6: cost 26 inf + 92245
7.471 * * [simplify]: Extracting #7: cost 0 inf + 111037
7.504 * * [simplify]: Extracting #8: cost 0 inf + 110230
7.521 * * [simplify]: Extracting #9: cost 0 inf + 108687
7.540 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))
7.540 * [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)))))
7.540 * * * * [progress]: [ 82 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
7.540 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1))
7.540 * * [simplify]: iters left: 6 (9 enodes)
7.546 * * [simplify]: iters left: 5 (38 enodes)
7.560 * * [simplify]: iters left: 4 (63 enodes)
7.580 * * [simplify]: iters left: 3 (100 enodes)
7.612 * * [simplify]: iters left: 2 (175 enodes)
7.658 * * [simplify]: iters left: 1 (360 enodes)
7.837 * * [simplify]: Extracting #0: cost 1 inf + 0
7.837 * * [simplify]: Extracting #1: cost 52 inf + 0
7.838 * * [simplify]: Extracting #2: cost 150 inf + 3
7.839 * * [simplify]: Extracting #3: cost 190 inf + 8
7.842 * * [simplify]: Extracting #4: cost 161 inf + 3039
7.847 * * [simplify]: Extracting #5: cost 116 inf + 9850
7.858 * * [simplify]: Extracting #6: cost 35 inf + 60283
7.870 * * [simplify]: Extracting #7: cost 2 inf + 86206
7.883 * * [simplify]: Extracting #8: cost 0 inf + 87719
7.902 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2)))
7.902 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))
7.902 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
7.902 * * [simplify]: iters left: 6 (10 enodes)
7.908 * * [simplify]: iters left: 5 (42 enodes)
7.922 * * [simplify]: iters left: 4 (65 enodes)
7.946 * * [simplify]: iters left: 3 (104 enodes)
7.985 * * [simplify]: iters left: 2 (206 enodes)
8.066 * * [simplify]: iters left: 1 (435 enodes)
8.257 * * [simplify]: Extracting #0: cost 1 inf + 0
8.257 * * [simplify]: Extracting #1: cost 47 inf + 0
8.258 * * [simplify]: Extracting #2: cost 137 inf + 0
8.260 * * [simplify]: Extracting #3: cost 210 inf + 45
8.262 * * [simplify]: Extracting #4: cost 204 inf + 1134
8.271 * * [simplify]: Extracting #5: cost 148 inf + 9351
8.285 * * [simplify]: Extracting #6: cost 67 inf + 53607
8.314 * * [simplify]: Extracting #7: cost 1 inf + 112920
8.345 * * [simplify]: Extracting #8: cost 0 inf + 111430
8.364 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
8.364 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
8.364 * * * * [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)))))>
8.364 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
8.364 * * [simplify]: iters left: 6 (10 enodes)
8.368 * * [simplify]: iters left: 5 (41 enodes)
8.375 * * [simplify]: iters left: 4 (68 enodes)
8.393 * * [simplify]: iters left: 3 (109 enodes)
8.432 * * [simplify]: iters left: 2 (194 enodes)
8.509 * * [simplify]: iters left: 1 (414 enodes)
8.702 * * [simplify]: Extracting #0: cost 1 inf + 0
8.702 * * [simplify]: Extracting #1: cost 45 inf + 0
8.702 * * [simplify]: Extracting #2: cost 141 inf + 0
8.703 * * [simplify]: Extracting #3: cost 206 inf + 4
8.705 * * [simplify]: Extracting #4: cost 180 inf + 9439
8.713 * * [simplify]: Extracting #5: cost 108 inf + 27286
8.733 * * [simplify]: Extracting #6: cost 36 inf + 72454
8.764 * * [simplify]: Extracting #7: cost 0 inf + 101831
8.786 * * [simplify]: Extracting #8: cost 0 inf + 101671
8.802 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
8.802 * [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)))))
8.802 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
8.802 * * [simplify]: iters left: 6 (11 enodes)
8.805 * * [simplify]: iters left: 5 (45 enodes)
8.817 * * [simplify]: iters left: 4 (68 enodes)
8.828 * * [simplify]: iters left: 3 (110 enodes)
8.861 * * [simplify]: iters left: 2 (217 enodes)
8.914 * * [simplify]: iters left: 1 (458 enodes)
9.146 * * [simplify]: Extracting #0: cost 1 inf + 0
9.146 * * [simplify]: Extracting #1: cost 45 inf + 0
9.147 * * [simplify]: Extracting #2: cost 132 inf + 0
9.149 * * [simplify]: Extracting #3: cost 212 inf + 3
9.150 * * [simplify]: Extracting #4: cost 213 inf + 761
9.153 * * [simplify]: Extracting #5: cost 140 inf + 15034
9.165 * * [simplify]: Extracting #6: cost 26 inf + 92245
9.184 * * [simplify]: Extracting #7: cost 0 inf + 111037
9.206 * * [simplify]: Extracting #8: cost 0 inf + 110230
9.223 * * [simplify]: Extracting #9: cost 0 inf + 108687
9.257 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))
9.257 * [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)))))
9.257 * * * * [progress]: [ 84 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
9.257 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1)
9.257 * * [simplify]: iters left: 6 (8 enodes)
9.260 * * [simplify]: iters left: 5 (33 enodes)
9.267 * * [simplify]: iters left: 4 (56 enodes)
9.277 * * [simplify]: iters left: 3 (98 enodes)
9.308 * * [simplify]: iters left: 2 (203 enodes)
9.384 * * [simplify]: iters left: 1 (443 enodes)
9.655 * * [simplify]: Extracting #0: cost 1 inf + 0
9.656 * * [simplify]: Extracting #1: cost 47 inf + 0
9.656 * * [simplify]: Extracting #2: cost 155 inf + 3
9.657 * * [simplify]: Extracting #3: cost 207 inf + 8
9.658 * * [simplify]: Extracting #4: cost 189 inf + 2296
9.662 * * [simplify]: Extracting #5: cost 112 inf + 20090
9.679 * * [simplify]: Extracting #6: cost 19 inf + 81064
9.711 * * [simplify]: Extracting #7: cost 0 inf + 94833
9.736 * * [simplify]: Extracting #8: cost 0 inf + 93433
9.755 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2)))
9.755 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))
9.755 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
9.755 * * [simplify]: iters left: 6 (10 enodes)
9.761 * * [simplify]: iters left: 5 (42 enodes)
9.775 * * [simplify]: iters left: 4 (65 enodes)
9.799 * * [simplify]: iters left: 3 (104 enodes)
9.822 * * [simplify]: iters left: 2 (206 enodes)
9.890 * * [simplify]: iters left: 1 (435 enodes)
10.104 * * [simplify]: Extracting #0: cost 1 inf + 0
10.109 * * [simplify]: Extracting #1: cost 47 inf + 0
10.110 * * [simplify]: Extracting #2: cost 137 inf + 0
10.111 * * [simplify]: Extracting #3: cost 210 inf + 45
10.113 * * [simplify]: Extracting #4: cost 204 inf + 1134
10.118 * * [simplify]: Extracting #5: cost 148 inf + 9351
10.133 * * [simplify]: Extracting #6: cost 67 inf + 53607
10.161 * * [simplify]: Extracting #7: cost 1 inf + 112920
10.192 * * [simplify]: Extracting #8: cost 0 inf + 111430
10.222 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
10.223 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
10.223 * * * * [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)))))>
10.223 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
10.223 * * [simplify]: iters left: 6 (16 enodes)
10.232 * * [simplify]: iters left: 5 (69 enodes)
10.256 * * [simplify]: iters left: 4 (117 enodes)
10.295 * * [simplify]: iters left: 3 (164 enodes)
10.344 * * [simplify]: iters left: 2 (236 enodes)
10.427 * * [simplify]: iters left: 1 (387 enodes)
10.581 * * [simplify]: Extracting #0: cost 1 inf + 0
10.581 * * [simplify]: Extracting #1: cost 11 inf + 0
10.581 * * [simplify]: Extracting #2: cost 22 inf + 0
10.581 * * [simplify]: Extracting #3: cost 48 inf + 0
10.582 * * [simplify]: Extracting #4: cost 120 inf + 2
10.584 * * [simplify]: Extracting #5: cost 150 inf + 787
10.587 * * [simplify]: Extracting #6: cost 110 inf + 5219
10.595 * * [simplify]: Extracting #7: cost 48 inf + 27777
10.612 * * [simplify]: Extracting #8: cost 12 inf + 58840
10.633 * * [simplify]: Extracting #9: cost 0 inf + 68408
10.658 * [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))))
10.659 * [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)))))
10.659 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
10.659 * * [simplify]: iters left: 6 (14 enodes)
10.667 * * [simplify]: iters left: 5 (57 enodes)
10.686 * * [simplify]: iters left: 4 (90 enodes)
10.713 * * [simplify]: iters left: 3 (127 enodes)
10.735 * * [simplify]: iters left: 2 (195 enodes)
10.795 * * [simplify]: iters left: 1 (356 enodes)
10.984 * * [simplify]: Extracting #0: cost 1 inf + 0
10.984 * * [simplify]: Extracting #1: cost 4 inf + 0
10.984 * * [simplify]: Extracting #2: cost 8 inf + 0
10.984 * * [simplify]: Extracting #3: cost 34 inf + 0
10.985 * * [simplify]: Extracting #4: cost 107 inf + 164
10.986 * * [simplify]: Extracting #5: cost 148 inf + 585
10.989 * * [simplify]: Extracting #6: cost 109 inf + 5352
10.998 * * [simplify]: Extracting #7: cost 45 inf + 27047
11.022 * * [simplify]: Extracting #8: cost 6 inf + 58672
11.041 * * [simplify]: Extracting #9: cost 0 inf + 62696
11.061 * * [simplify]: Extracting #10: cost 0 inf + 62192
11.082 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
11.082 * [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)))))
11.083 * * * * [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)))))>
11.083 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k))))
11.083 * * [simplify]: iters left: 6 (16 enodes)
11.092 * * [simplify]: iters left: 5 (66 enodes)
11.112 * * [simplify]: iters left: 4 (103 enodes)
11.143 * * [simplify]: iters left: 3 (142 enodes)
11.173 * * [simplify]: iters left: 2 (210 enodes)
11.221 * * [simplify]: iters left: 1 (370 enodes)
11.348 * * [simplify]: Extracting #0: cost 1 inf + 0
11.348 * * [simplify]: Extracting #1: cost 7 inf + 0
11.348 * * [simplify]: Extracting #2: cost 15 inf + 0
11.348 * * [simplify]: Extracting #3: cost 43 inf + 0
11.349 * * [simplify]: Extracting #4: cost 113 inf + 204
11.350 * * [simplify]: Extracting #5: cost 145 inf + 907
11.353 * * [simplify]: Extracting #6: cost 114 inf + 4465
11.360 * * [simplify]: Extracting #7: cost 52 inf + 23940
11.376 * * [simplify]: Extracting #8: cost 13 inf + 52482
11.396 * * [simplify]: Extracting #9: cost 0 inf + 63276
11.415 * * [simplify]: Extracting #10: cost 0 inf + 62983
11.435 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k)))
11.435 * [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)))))
11.435 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
11.435 * * [simplify]: iters left: 6 (14 enodes)
11.443 * * [simplify]: iters left: 5 (57 enodes)
11.463 * * [simplify]: iters left: 4 (90 enodes)
11.496 * * [simplify]: iters left: 3 (127 enodes)
11.536 * * [simplify]: iters left: 2 (195 enodes)
11.597 * * [simplify]: iters left: 1 (356 enodes)
11.756 * * [simplify]: Extracting #0: cost 1 inf + 0
11.757 * * [simplify]: Extracting #1: cost 4 inf + 0
11.757 * * [simplify]: Extracting #2: cost 8 inf + 0
11.757 * * [simplify]: Extracting #3: cost 34 inf + 0
11.757 * * [simplify]: Extracting #4: cost 107 inf + 204
11.758 * * [simplify]: Extracting #5: cost 148 inf + 665
11.759 * * [simplify]: Extracting #6: cost 109 inf + 5432
11.764 * * [simplify]: Extracting #7: cost 45 inf + 27127
11.773 * * [simplify]: Extracting #8: cost 6 inf + 58752
11.793 * * [simplify]: Extracting #9: cost 0 inf + 62776
11.814 * * [simplify]: Extracting #10: cost 0 inf + 62272
11.840 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
11.840 * [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)))))
11.840 * * * * [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)))))>
11.841 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
11.841 * * [simplify]: iters left: 6 (15 enodes)
11.849 * * [simplify]: iters left: 5 (62 enodes)
11.863 * * [simplify]: iters left: 4 (99 enodes)
11.879 * * [simplify]: iters left: 3 (142 enodes)
11.910 * * [simplify]: iters left: 2 (215 enodes)
11.967 * * [simplify]: iters left: 1 (364 enodes)
12.116 * * [simplify]: Extracting #0: cost 1 inf + 0
12.116 * * [simplify]: Extracting #1: cost 7 inf + 0
12.116 * * [simplify]: Extracting #2: cost 14 inf + 0
12.117 * * [simplify]: Extracting #3: cost 41 inf + 0
12.117 * * [simplify]: Extracting #4: cost 107 inf + 165
12.118 * * [simplify]: Extracting #5: cost 134 inf + 713
12.122 * * [simplify]: Extracting #6: cost 89 inf + 7533
12.133 * * [simplify]: Extracting #7: cost 28 inf + 38261
12.151 * * [simplify]: Extracting #8: cost 0 inf + 60484
12.168 * * [simplify]: Extracting #9: cost 0 inf + 60062
12.177 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
12.177 * [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)))))
12.177 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
12.177 * * [simplify]: iters left: 6 (14 enodes)
12.181 * * [simplify]: iters left: 5 (57 enodes)
12.192 * * [simplify]: iters left: 4 (90 enodes)
12.212 * * [simplify]: iters left: 3 (127 enodes)
12.233 * * [simplify]: iters left: 2 (195 enodes)
12.281 * * [simplify]: iters left: 1 (356 enodes)
12.435 * * [simplify]: Extracting #0: cost 1 inf + 0
12.435 * * [simplify]: Extracting #1: cost 4 inf + 0
12.435 * * [simplify]: Extracting #2: cost 8 inf + 0
12.435 * * [simplify]: Extracting #3: cost 34 inf + 0
12.436 * * [simplify]: Extracting #4: cost 107 inf + 124
12.437 * * [simplify]: Extracting #5: cost 148 inf + 505
12.440 * * [simplify]: Extracting #6: cost 109 inf + 5272
12.453 * * [simplify]: Extracting #7: cost 45 inf + 26887
12.471 * * [simplify]: Extracting #8: cost 6 inf + 58512
12.493 * * [simplify]: Extracting #9: cost 0 inf + 62536
12.516 * * [simplify]: Extracting #10: cost 0 inf + 62032
12.537 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
12.538 * [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)))))
12.538 * * * * [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))))>
12.538 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1))
12.538 * * [simplify]: iters left: 6 (14 enodes)
12.547 * * [simplify]: iters left: 5 (59 enodes)
12.566 * * [simplify]: iters left: 4 (96 enodes)
12.581 * * [simplify]: iters left: 3 (136 enodes)
12.605 * * [simplify]: iters left: 2 (205 enodes)
12.644 * * [simplify]: iters left: 1 (370 enodes)
12.766 * * [simplify]: Extracting #0: cost 1 inf + 0
12.767 * * [simplify]: Extracting #1: cost 5 inf + 0
12.767 * * [simplify]: Extracting #2: cost 7 inf + 1
12.767 * * [simplify]: Extracting #3: cost 31 inf + 1
12.767 * * [simplify]: Extracting #4: cost 103 inf + 2
12.769 * * [simplify]: Extracting #5: cost 150 inf + 218
12.770 * * [simplify]: Extracting #6: cost 149 inf + 478
12.774 * * [simplify]: Extracting #7: cost 93 inf + 8914
12.790 * * [simplify]: Extracting #8: cost 27 inf + 33526
12.815 * * [simplify]: Extracting #9: cost 0 inf + 51357
12.841 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
12.841 * [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))))
12.842 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
12.842 * * [simplify]: iters left: 6 (13 enodes)
12.849 * * [simplify]: iters left: 5 (54 enodes)
12.862 * * [simplify]: iters left: 4 (87 enodes)
12.891 * * [simplify]: iters left: 3 (128 enodes)
12.935 * * [simplify]: iters left: 2 (197 enodes)
13.007 * * [simplify]: iters left: 1 (354 enodes)
13.148 * * [simplify]: Extracting #0: cost 1 inf + 0
13.148 * * [simplify]: Extracting #1: cost 4 inf + 0
13.148 * * [simplify]: Extracting #2: cost 8 inf + 0
13.148 * * [simplify]: Extracting #3: cost 28 inf + 83
13.149 * * [simplify]: Extracting #4: cost 105 inf + 84
13.149 * * [simplify]: Extracting #5: cost 139 inf + 384
13.151 * * [simplify]: Extracting #6: cost 103 inf + 5239
13.154 * * [simplify]: Extracting #7: cost 50 inf + 20824
13.161 * * [simplify]: Extracting #8: cost 15 inf + 47877
13.170 * * [simplify]: Extracting #9: cost 0 inf + 59693
13.187 * * [simplify]: Extracting #10: cost 0 inf + 59363
13.206 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
13.207 * [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))))
13.207 * * * * [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)))))>
13.207 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
13.207 * * [simplify]: iters left: 6 (15 enodes)
13.215 * * [simplify]: iters left: 5 (62 enodes)
13.236 * * [simplify]: iters left: 4 (99 enodes)
13.264 * * [simplify]: iters left: 3 (142 enodes)
13.292 * * [simplify]: iters left: 2 (215 enodes)
13.340 * * [simplify]: iters left: 1 (364 enodes)
13.468 * * [simplify]: Extracting #0: cost 1 inf + 0
13.468 * * [simplify]: Extracting #1: cost 7 inf + 0
13.468 * * [simplify]: Extracting #2: cost 14 inf + 0
13.468 * * [simplify]: Extracting #3: cost 41 inf + 0
13.468 * * [simplify]: Extracting #4: cost 107 inf + 165
13.469 * * [simplify]: Extracting #5: cost 134 inf + 713
13.471 * * [simplify]: Extracting #6: cost 89 inf + 7533
13.476 * * [simplify]: Extracting #7: cost 28 inf + 38261
13.485 * * [simplify]: Extracting #8: cost 0 inf + 60484
13.496 * * [simplify]: Extracting #9: cost 0 inf + 60062
13.514 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
13.515 * [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)))))
13.515 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
13.515 * * [simplify]: iters left: 6 (14 enodes)
13.522 * * [simplify]: iters left: 5 (57 enodes)
13.544 * * [simplify]: iters left: 4 (90 enodes)
13.573 * * [simplify]: iters left: 3 (127 enodes)
13.606 * * [simplify]: iters left: 2 (195 enodes)
13.656 * * [simplify]: iters left: 1 (356 enodes)
13.773 * * [simplify]: Extracting #0: cost 1 inf + 0
13.773 * * [simplify]: Extracting #1: cost 4 inf + 0
13.773 * * [simplify]: Extracting #2: cost 8 inf + 0
13.773 * * [simplify]: Extracting #3: cost 34 inf + 0
13.774 * * [simplify]: Extracting #4: cost 107 inf + 124
13.774 * * [simplify]: Extracting #5: cost 148 inf + 505
13.776 * * [simplify]: Extracting #6: cost 109 inf + 5272
13.781 * * [simplify]: Extracting #7: cost 45 inf + 26887
13.800 * * [simplify]: Extracting #8: cost 6 inf + 58512
13.821 * * [simplify]: Extracting #9: cost 0 inf + 62536
13.848 * * [simplify]: Extracting #10: cost 0 inf + 62032
13.870 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
13.870 * [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)))))
13.870 * * * * [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))))>
13.871 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1)
13.871 * * [simplify]: iters left: 6 (13 enodes)
13.878 * * [simplify]: iters left: 5 (54 enodes)
13.893 * * [simplify]: iters left: 4 (95 enodes)
13.908 * * [simplify]: iters left: 3 (137 enodes)
13.937 * * [simplify]: iters left: 2 (206 enodes)
13.983 * * [simplify]: iters left: 1 (362 enodes)
14.088 * * [simplify]: Extracting #0: cost 1 inf + 0
14.088 * * [simplify]: Extracting #1: cost 5 inf + 0
14.088 * * [simplify]: Extracting #2: cost 7 inf + 1
14.088 * * [simplify]: Extracting #3: cost 32 inf + 1
14.088 * * [simplify]: Extracting #4: cost 110 inf + 2
14.089 * * [simplify]: Extracting #5: cost 158 inf + 176
14.090 * * [simplify]: Extracting #6: cost 151 inf + 644
14.092 * * [simplify]: Extracting #7: cost 91 inf + 10513
14.101 * * [simplify]: Extracting #8: cost 37 inf + 29756
14.113 * * [simplify]: Extracting #9: cost 0 inf + 59764
14.134 * * [simplify]: Extracting #10: cost 0 inf + 58856
14.148 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
14.148 * [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))))
14.149 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
14.149 * * [simplify]: iters left: 6 (13 enodes)
14.153 * * [simplify]: iters left: 5 (54 enodes)
14.161 * * [simplify]: iters left: 4 (87 enodes)
14.175 * * [simplify]: iters left: 3 (128 enodes)
14.212 * * [simplify]: iters left: 2 (197 enodes)
14.267 * * [simplify]: iters left: 1 (354 enodes)
14.415 * * [simplify]: Extracting #0: cost 1 inf + 0
14.415 * * [simplify]: Extracting #1: cost 4 inf + 0
14.415 * * [simplify]: Extracting #2: cost 8 inf + 0
14.415 * * [simplify]: Extracting #3: cost 28 inf + 83
14.416 * * [simplify]: Extracting #4: cost 105 inf + 84
14.416 * * [simplify]: Extracting #5: cost 139 inf + 384
14.417 * * [simplify]: Extracting #6: cost 103 inf + 5239
14.421 * * [simplify]: Extracting #7: cost 50 inf + 20824
14.427 * * [simplify]: Extracting #8: cost 15 inf + 47877
14.438 * * [simplify]: Extracting #9: cost 0 inf + 59693
14.456 * * [simplify]: Extracting #10: cost 0 inf + 59363
14.475 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
14.475 * [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))))
14.475 * * * * [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)))))>
14.476 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
14.476 * * [simplify]: iters left: 6 (15 enodes)
14.484 * * [simplify]: iters left: 5 (62 enodes)
14.505 * * [simplify]: iters left: 4 (98 enodes)
14.534 * * [simplify]: iters left: 3 (134 enodes)
14.579 * * [simplify]: iters left: 2 (202 enodes)
14.634 * * [simplify]: iters left: 1 (362 enodes)
14.787 * * [simplify]: Extracting #0: cost 1 inf + 0
14.787 * * [simplify]: Extracting #1: cost 6 inf + 0
14.788 * * [simplify]: Extracting #2: cost 13 inf + 0
14.788 * * [simplify]: Extracting #3: cost 43 inf + 0
14.788 * * [simplify]: Extracting #4: cost 120 inf + 285
14.790 * * [simplify]: Extracting #5: cost 141 inf + 1984
14.796 * * [simplify]: Extracting #6: cost 72 inf + 21416
14.811 * * [simplify]: Extracting #7: cost 23 inf + 42391
14.828 * * [simplify]: Extracting #8: cost 0 inf + 61728
14.843 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
14.843 * [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)))))
14.843 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
14.844 * * [simplify]: iters left: 6 (14 enodes)
14.848 * * [simplify]: iters left: 5 (57 enodes)
14.858 * * [simplify]: iters left: 4 (91 enodes)
14.872 * * [simplify]: iters left: 3 (127 enodes)
14.909 * * [simplify]: iters left: 2 (195 enodes)
14.946 * * [simplify]: iters left: 1 (354 enodes)
15.078 * * [simplify]: Extracting #0: cost 1 inf + 0
15.078 * * [simplify]: Extracting #1: cost 4 inf + 0
15.078 * * [simplify]: Extracting #2: cost 9 inf + 0
15.079 * * [simplify]: Extracting #3: cost 36 inf + 0
15.079 * * [simplify]: Extracting #4: cost 113 inf + 205
15.081 * * [simplify]: Extracting #5: cost 131 inf + 2415
15.091 * * [simplify]: Extracting #6: cost 45 inf + 33802
15.113 * * [simplify]: Extracting #7: cost 2 inf + 54796
15.141 * * [simplify]: Extracting #8: cost 0 inf + 53175
15.169 * * [simplify]: Extracting #9: cost 0 inf + 52741
15.197 * * [simplify]: Extracting #10: cost 0 inf + 52079
15.215 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))
15.215 * [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)))))
15.215 * * * * [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)))))>
15.215 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k))))
15.215 * * [simplify]: iters left: 6 (15 enodes)
15.220 * * [simplify]: iters left: 5 (61 enodes)
15.230 * * [simplify]: iters left: 4 (95 enodes)
15.258 * * [simplify]: iters left: 3 (131 enodes)
15.300 * * [simplify]: iters left: 2 (199 enodes)
15.367 * * [simplify]: iters left: 1 (362 enodes)
15.507 * * [simplify]: Extracting #0: cost 1 inf + 0
15.507 * * [simplify]: Extracting #1: cost 4 inf + 0
15.507 * * [simplify]: Extracting #2: cost 10 inf + 0
15.507 * * [simplify]: Extracting #3: cost 41 inf + 0
15.508 * * [simplify]: Extracting #4: cost 124 inf + 325
15.509 * * [simplify]: Extracting #5: cost 146 inf + 2066
15.511 * * [simplify]: Extracting #6: cost 94 inf + 10304
15.517 * * [simplify]: Extracting #7: cost 23 inf + 47402
15.531 * * [simplify]: Extracting #8: cost 0 inf + 67276
15.548 * * [simplify]: Extracting #9: cost 0 inf + 66421
15.558 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
15.558 * [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)))))
15.558 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
15.558 * * [simplify]: iters left: 6 (14 enodes)
15.562 * * [simplify]: iters left: 5 (57 enodes)
15.575 * * [simplify]: iters left: 4 (91 enodes)
15.594 * * [simplify]: iters left: 3 (127 enodes)
15.616 * * [simplify]: iters left: 2 (195 enodes)
15.690 * * [simplify]: iters left: 1 (354 enodes)
15.821 * * [simplify]: Extracting #0: cost 1 inf + 0
15.821 * * [simplify]: Extracting #1: cost 4 inf + 0
15.821 * * [simplify]: Extracting #2: cost 9 inf + 0
15.821 * * [simplify]: Extracting #3: cost 36 inf + 0
15.822 * * [simplify]: Extracting #4: cost 113 inf + 285
15.824 * * [simplify]: Extracting #5: cost 131 inf + 2495
15.834 * * [simplify]: Extracting #6: cost 45 inf + 33882
15.860 * * [simplify]: Extracting #7: cost 2 inf + 54876
15.888 * * [simplify]: Extracting #8: cost 0 inf + 53255
15.916 * * [simplify]: Extracting #9: cost 0 inf + 52821
15.945 * * [simplify]: Extracting #10: cost 0 inf + 52159
15.974 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))
15.974 * [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)))))
15.974 * * * * [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)))))>
15.974 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
15.974 * * [simplify]: iters left: 6 (14 enodes)
15.982 * * [simplify]: iters left: 5 (57 enodes)
15.999 * * [simplify]: iters left: 4 (91 enodes)
16.013 * * [simplify]: iters left: 3 (127 enodes)
16.040 * * [simplify]: iters left: 2 (195 enodes)
16.090 * * [simplify]: iters left: 1 (354 enodes)
16.208 * * [simplify]: Extracting #0: cost 1 inf + 0
16.208 * * [simplify]: Extracting #1: cost 4 inf + 0
16.208 * * [simplify]: Extracting #2: cost 9 inf + 0
16.208 * * [simplify]: Extracting #3: cost 36 inf + 0
16.208 * * [simplify]: Extracting #4: cost 113 inf + 165
16.209 * * [simplify]: Extracting #5: cost 131 inf + 2335
16.216 * * [simplify]: Extracting #6: cost 45 inf + 33642
16.239 * * [simplify]: Extracting #7: cost 2 inf + 54636
16.267 * * [simplify]: Extracting #8: cost 0 inf + 53015
16.296 * * [simplify]: Extracting #9: cost 0 inf + 52581
16.325 * * [simplify]: Extracting #10: cost 0 inf + 51919
16.358 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
16.358 * [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)))))
16.359 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
16.359 * * [simplify]: iters left: 6 (14 enodes)
16.367 * * [simplify]: iters left: 5 (57 enodes)
16.386 * * [simplify]: iters left: 4 (91 enodes)
16.414 * * [simplify]: iters left: 3 (127 enodes)
16.455 * * [simplify]: iters left: 2 (195 enodes)
16.520 * * [simplify]: iters left: 1 (354 enodes)
16.690 * * [simplify]: Extracting #0: cost 1 inf + 0
16.690 * * [simplify]: Extracting #1: cost 4 inf + 0
16.691 * * [simplify]: Extracting #2: cost 9 inf + 0
16.691 * * [simplify]: Extracting #3: cost 36 inf + 0
16.691 * * [simplify]: Extracting #4: cost 113 inf + 165
16.693 * * [simplify]: Extracting #5: cost 131 inf + 2335
16.703 * * [simplify]: Extracting #6: cost 45 inf + 33642
16.715 * * [simplify]: Extracting #7: cost 2 inf + 54636
16.731 * * [simplify]: Extracting #8: cost 0 inf + 53015
16.746 * * [simplify]: Extracting #9: cost 0 inf + 52581
16.761 * * [simplify]: Extracting #10: cost 0 inf + 51919
16.776 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
16.776 * [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)))))
16.776 * * * * [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))))>
16.776 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1))
16.777 * * [simplify]: iters left: 6 (13 enodes)
16.785 * * [simplify]: iters left: 5 (54 enodes)
16.804 * * [simplify]: iters left: 4 (88 enodes)
16.830 * * [simplify]: iters left: 3 (127 enodes)
16.872 * * [simplify]: iters left: 2 (196 enodes)
16.929 * * [simplify]: iters left: 1 (362 enodes)
17.452 * * [simplify]: Extracting #0: cost 1 inf + 0
17.452 * * [simplify]: Extracting #1: cost 5 inf + 0
17.452 * * [simplify]: Extracting #2: cost 27 inf + 1
17.452 * * [simplify]: Extracting #3: cost 103 inf + 2
17.453 * * [simplify]: Extracting #4: cost 147 inf + 177
17.454 * * [simplify]: Extracting #5: cost 138 inf + 686
17.455 * * [simplify]: Extracting #6: cost 90 inf + 5192
17.461 * * [simplify]: Extracting #7: cost 29 inf + 34526
17.469 * * [simplify]: Extracting #8: cost 3 inf + 53567
17.479 * * [simplify]: Extracting #9: cost 0 inf + 55996
17.488 * * [simplify]: Extracting #10: cost 0 inf + 55520
17.498 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
17.498 * [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))))
17.498 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
17.499 * * [simplify]: iters left: 6 (13 enodes)
17.502 * * [simplify]: iters left: 5 (54 enodes)
17.519 * * [simplify]: iters left: 4 (88 enodes)
17.547 * * [simplify]: iters left: 3 (125 enodes)
17.587 * * [simplify]: iters left: 2 (193 enodes)
17.635 * * [simplify]: iters left: 1 (356 enodes)
17.766 * * [simplify]: Extracting #0: cost 1 inf + 0
17.766 * * [simplify]: Extracting #1: cost 4 inf + 0
17.766 * * [simplify]: Extracting #2: cost 9 inf + 0
17.767 * * [simplify]: Extracting #3: cost 32 inf + 1
17.767 * * [simplify]: Extracting #4: cost 105 inf + 84
17.769 * * [simplify]: Extracting #5: cost 125 inf + 1632
17.775 * * [simplify]: Extracting #6: cost 73 inf + 13139
17.792 * * [simplify]: Extracting #7: cost 9 inf + 42244
17.818 * * [simplify]: Extracting #8: cost 0 inf + 47700
17.844 * * [simplify]: Extracting #9: cost 0 inf + 47090
17.870 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
17.870 * [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))))
17.871 * * * * [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)))))>
17.871 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
17.871 * * [simplify]: iters left: 6 (14 enodes)
17.878 * * [simplify]: iters left: 5 (57 enodes)
17.901 * * [simplify]: iters left: 4 (91 enodes)
17.929 * * [simplify]: iters left: 3 (127 enodes)
17.969 * * [simplify]: iters left: 2 (195 enodes)
18.040 * * [simplify]: iters left: 1 (354 enodes)
18.182 * * [simplify]: Extracting #0: cost 1 inf + 0
18.182 * * [simplify]: Extracting #1: cost 4 inf + 0
18.182 * * [simplify]: Extracting #2: cost 9 inf + 0
18.182 * * [simplify]: Extracting #3: cost 36 inf + 0
18.183 * * [simplify]: Extracting #4: cost 113 inf + 165
18.183 * * [simplify]: Extracting #5: cost 131 inf + 2335
18.188 * * [simplify]: Extracting #6: cost 45 inf + 33642
18.200 * * [simplify]: Extracting #7: cost 2 inf + 54636
18.219 * * [simplify]: Extracting #8: cost 0 inf + 53015
18.248 * * [simplify]: Extracting #9: cost 0 inf + 52581
18.268 * * [simplify]: Extracting #10: cost 0 inf + 51919
18.283 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
18.283 * [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)))))
18.283 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
18.284 * * [simplify]: iters left: 6 (14 enodes)
18.291 * * [simplify]: iters left: 5 (57 enodes)
18.310 * * [simplify]: iters left: 4 (91 enodes)
18.335 * * [simplify]: iters left: 3 (127 enodes)
18.356 * * [simplify]: iters left: 2 (195 enodes)
18.413 * * [simplify]: iters left: 1 (354 enodes)
18.536 * * [simplify]: Extracting #0: cost 1 inf + 0
18.536 * * [simplify]: Extracting #1: cost 4 inf + 0
18.536 * * [simplify]: Extracting #2: cost 9 inf + 0
18.536 * * [simplify]: Extracting #3: cost 36 inf + 0
18.537 * * [simplify]: Extracting #4: cost 113 inf + 165
18.539 * * [simplify]: Extracting #5: cost 131 inf + 2335
18.552 * * [simplify]: Extracting #6: cost 45 inf + 33642
18.574 * * [simplify]: Extracting #7: cost 2 inf + 54636
18.592 * * [simplify]: Extracting #8: cost 0 inf + 53015
18.607 * * [simplify]: Extracting #9: cost 0 inf + 52581
18.634 * * [simplify]: Extracting #10: cost 0 inf + 51919
18.663 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
18.663 * [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)))))
18.663 * * * * [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))))>
18.664 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1)
18.664 * * [simplify]: iters left: 6 (12 enodes)
18.671 * * [simplify]: iters left: 5 (49 enodes)
18.687 * * [simplify]: iters left: 4 (83 enodes)
18.713 * * [simplify]: iters left: 3 (124 enodes)
18.753 * * [simplify]: iters left: 2 (197 enodes)
18.798 * * [simplify]: iters left: 1 (352 enodes)
18.946 * * [simplify]: Extracting #0: cost 1 inf + 0
18.946 * * [simplify]: Extracting #1: cost 5 inf + 0
18.946 * * [simplify]: Extracting #2: cost 27 inf + 1
18.947 * * [simplify]: Extracting #3: cost 107 inf + 2
18.947 * * [simplify]: Extracting #4: cost 136 inf + 177
18.948 * * [simplify]: Extracting #5: cost 129 inf + 724
18.952 * * [simplify]: Extracting #6: cost 68 inf + 10028
18.963 * * [simplify]: Extracting #7: cost 27 inf + 32706
18.979 * * [simplify]: Extracting #8: cost 0 inf + 57385
18.988 * * [simplify]: Extracting #9: cost 0 inf + 56670
18.998 * * [simplify]: Extracting #10: cost 0 inf + 56408
19.011 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
19.011 * [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))))
19.012 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
19.012 * * [simplify]: iters left: 6 (13 enodes)
19.019 * * [simplify]: iters left: 5 (54 enodes)
19.034 * * [simplify]: iters left: 4 (88 enodes)
19.049 * * [simplify]: iters left: 3 (125 enodes)
19.086 * * [simplify]: iters left: 2 (193 enodes)
19.134 * * [simplify]: iters left: 1 (356 enodes)
19.289 * * [simplify]: Extracting #0: cost 1 inf + 0
19.289 * * [simplify]: Extracting #1: cost 4 inf + 0
19.289 * * [simplify]: Extracting #2: cost 9 inf + 0
19.289 * * [simplify]: Extracting #3: cost 32 inf + 1
19.290 * * [simplify]: Extracting #4: cost 105 inf + 84
19.291 * * [simplify]: Extracting #5: cost 125 inf + 1632
19.296 * * [simplify]: Extracting #6: cost 73 inf + 13139
19.313 * * [simplify]: Extracting #7: cost 9 inf + 42244
19.339 * * [simplify]: Extracting #8: cost 0 inf + 47700
19.366 * * [simplify]: Extracting #9: cost 0 inf + 47090
19.396 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
19.396 * [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))))
19.396 * * * * [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)))))>
19.396 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
19.397 * * [simplify]: iters left: 6 (6 enodes)
19.400 * * [simplify]: iters left: 5 (22 enodes)
19.407 * * [simplify]: iters left: 4 (26 enodes)
19.415 * * [simplify]: Extracting #0: cost 1 inf + 0
19.415 * * [simplify]: Extracting #1: cost 6 inf + 0
19.415 * * [simplify]: Extracting #2: cost 9 inf + 1
19.415 * * [simplify]: Extracting #3: cost 11 inf + 1
19.415 * * [simplify]: Extracting #4: cost 8 inf + 84
19.416 * * [simplify]: Extracting #5: cost 2 inf + 1013
19.416 * * [simplify]: Extracting #6: cost 0 inf + 1376
19.416 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
19.416 * [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)))))
19.417 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
19.417 * * [simplify]: iters left: 6 (13 enodes)
19.424 * * [simplify]: iters left: 5 (54 enodes)
19.441 * * [simplify]: iters left: 4 (89 enodes)
19.456 * * [simplify]: iters left: 3 (136 enodes)
19.478 * * [simplify]: iters left: 2 (221 enodes)
19.555 * * [simplify]: iters left: 1 (444 enodes)
19.721 * * [simplify]: Extracting #0: cost 1 inf + 0
19.721 * * [simplify]: Extracting #1: cost 51 inf + 0
19.721 * * [simplify]: Extracting #2: cost 141 inf + 0
19.722 * * [simplify]: Extracting #3: cost 217 inf + 3
19.723 * * [simplify]: Extracting #4: cost 206 inf + 1256
19.727 * * [simplify]: Extracting #5: cost 128 inf + 22660
19.760 * * [simplify]: Extracting #6: cost 23 inf + 103572
19.797 * * [simplify]: Extracting #7: cost 0 inf + 122695
19.818 * * [simplify]: Extracting #8: cost 0 inf + 120000
19.836 * * [simplify]: Extracting #9: cost 0 inf + 119244
19.870 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))
19.870 * [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)))))
19.871 * * * * [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)))))>
19.871 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k))))
19.871 * * [simplify]: iters left: 6 (6 enodes)
19.875 * * [simplify]: iters left: 5 (21 enodes)
19.881 * * [simplify]: iters left: 4 (23 enodes)
19.888 * * [simplify]: Extracting #0: cost 1 inf + 0
19.888 * * [simplify]: Extracting #1: cost 4 inf + 0
19.888 * * [simplify]: Extracting #2: cost 6 inf + 1
19.888 * * [simplify]: Extracting #3: cost 9 inf + 1
19.888 * * [simplify]: Extracting #4: cost 8 inf + 2
19.888 * * [simplify]: Extracting #5: cost 1 inf + 810
19.888 * * [simplify]: Extracting #6: cost 0 inf + 972
19.889 * [simplify]: Simplified to (/ 1 (fabs (cbrt k)))
19.889 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
19.889 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
19.889 * * [simplify]: iters left: 6 (13 enodes)
19.899 * * [simplify]: iters left: 5 (54 enodes)
19.917 * * [simplify]: iters left: 4 (89 enodes)
19.944 * * [simplify]: iters left: 3 (136 enodes)
19.967 * * [simplify]: iters left: 2 (221 enodes)
20.028 * * [simplify]: iters left: 1 (444 enodes)
20.247 * * [simplify]: Extracting #0: cost 1 inf + 0
20.247 * * [simplify]: Extracting #1: cost 51 inf + 0
20.248 * * [simplify]: Extracting #2: cost 141 inf + 0
20.249 * * [simplify]: Extracting #3: cost 217 inf + 3
20.250 * * [simplify]: Extracting #4: cost 206 inf + 1296
20.254 * * [simplify]: Extracting #5: cost 128 inf + 22740
20.272 * * [simplify]: Extracting #6: cost 23 inf + 103652
20.310 * * [simplify]: Extracting #7: cost 0 inf + 122775
20.335 * * [simplify]: Extracting #8: cost 0 inf + 120080
20.354 * * [simplify]: Extracting #9: cost 0 inf + 119324
20.387 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))
20.388 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
20.388 * * * * [progress]: [ 99 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
20.388 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
20.388 * * [simplify]: iters left: 4 (5 enodes)
20.391 * * [simplify]: iters left: 3 (17 enodes)
20.396 * * [simplify]: iters left: 2 (19 enodes)
20.402 * * [simplify]: Extracting #0: cost 1 inf + 0
20.402 * * [simplify]: Extracting #1: cost 4 inf + 0
20.402 * * [simplify]: Extracting #2: cost 5 inf + 1
20.403 * * [simplify]: Extracting #3: cost 7 inf + 1
20.403 * * [simplify]: Extracting #4: cost 0 inf + 490
20.403 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
20.403 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
20.403 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
20.404 * * [simplify]: iters left: 6 (13 enodes)
20.407 * * [simplify]: iters left: 5 (54 enodes)
20.417 * * [simplify]: iters left: 4 (89 enodes)
20.437 * * [simplify]: iters left: 3 (136 enodes)
20.463 * * [simplify]: iters left: 2 (221 enodes)
20.519 * * [simplify]: iters left: 1 (444 enodes)
20.728 * * [simplify]: Extracting #0: cost 1 inf + 0
20.728 * * [simplify]: Extracting #1: cost 51 inf + 0
20.729 * * [simplify]: Extracting #2: cost 141 inf + 0
20.730 * * [simplify]: Extracting #3: cost 217 inf + 3
20.732 * * [simplify]: Extracting #4: cost 206 inf + 1176
20.739 * * [simplify]: Extracting #5: cost 128 inf + 22380
20.768 * * [simplify]: Extracting #6: cost 23 inf + 101172
20.807 * * [simplify]: Extracting #7: cost 0 inf + 119655
20.837 * * [simplify]: Extracting #8: cost 0 inf + 116960
20.859 * * [simplify]: Extracting #9: cost 0 inf + 116204
20.879 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
20.879 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
20.879 * * * * [progress]: [ 100 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
20.879 * [simplify]: Simplifying (/ 1 (sqrt 1))
20.879 * * [simplify]: iters left: 3 (3 enodes)
20.883 * * [simplify]: iters left: 2 (11 enodes)
20.886 * * [simplify]: iters left: 1 (13 enodes)
20.890 * * [simplify]: Extracting #0: cost 1 inf + 0
20.890 * * [simplify]: Extracting #1: cost 0 inf + 1
20.890 * [simplify]: Simplified to 1
20.890 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
20.890 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
20.890 * * [simplify]: iters left: 6 (12 enodes)
20.897 * * [simplify]: iters left: 5 (51 enodes)
20.914 * * [simplify]: iters left: 4 (86 enodes)
20.932 * * [simplify]: iters left: 3 (133 enodes)
20.959 * * [simplify]: iters left: 2 (218 enodes)
21.042 * * [simplify]: iters left: 1 (444 enodes)
21.240 * * [simplify]: Extracting #0: cost 1 inf + 0
21.240 * * [simplify]: Extracting #1: cost 39 inf + 0
21.241 * * [simplify]: Extracting #2: cost 126 inf + 0
21.242 * * [simplify]: Extracting #3: cost 201 inf + 4
21.243 * * [simplify]: Extracting #4: cost 191 inf + 1382
21.245 * * [simplify]: Extracting #5: cost 133 inf + 10319
21.253 * * [simplify]: Extracting #6: cost 56 inf + 58095
21.272 * * [simplify]: Extracting #7: cost 0 inf + 104434
21.288 * * [simplify]: Extracting #8: cost 0 inf + 104433
21.304 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
21.304 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
21.304 * * * * [progress]: [ 101 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
21.304 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
21.304 * * [simplify]: iters left: 4 (5 enodes)
21.306 * * [simplify]: iters left: 3 (17 enodes)
21.309 * * [simplify]: iters left: 2 (19 enodes)
21.312 * * [simplify]: Extracting #0: cost 1 inf + 0
21.312 * * [simplify]: Extracting #1: cost 4 inf + 0
21.312 * * [simplify]: Extracting #2: cost 5 inf + 1
21.312 * * [simplify]: Extracting #3: cost 7 inf + 1
21.312 * * [simplify]: Extracting #4: cost 0 inf + 490
21.312 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
21.312 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
21.312 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
21.312 * * [simplify]: iters left: 6 (13 enodes)
21.316 * * [simplify]: iters left: 5 (54 enodes)
21.326 * * [simplify]: iters left: 4 (89 enodes)
21.340 * * [simplify]: iters left: 3 (136 enodes)
21.369 * * [simplify]: iters left: 2 (221 enodes)
21.439 * * [simplify]: iters left: 1 (444 enodes)
21.665 * * [simplify]: Extracting #0: cost 1 inf + 0
21.665 * * [simplify]: Extracting #1: cost 51 inf + 0
21.666 * * [simplify]: Extracting #2: cost 141 inf + 0
21.667 * * [simplify]: Extracting #3: cost 217 inf + 3
21.670 * * [simplify]: Extracting #4: cost 206 inf + 1176
21.677 * * [simplify]: Extracting #5: cost 128 inf + 22380
21.706 * * [simplify]: Extracting #6: cost 23 inf + 101172
21.744 * * [simplify]: Extracting #7: cost 0 inf + 119655
21.784 * * [simplify]: Extracting #8: cost 0 inf + 116960
21.826 * * [simplify]: Extracting #9: cost 0 inf + 116204
21.864 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
21.865 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
21.865 * * * * [progress]: [ 102 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
21.865 * [simplify]: Simplifying (/ 1 1)
21.865 * * [simplify]: iters left: 2 (2 enodes)
21.867 * * [simplify]: iters left: 1 (6 enodes)
21.869 * * [simplify]: Extracting #0: cost 1 inf + 0
21.869 * * [simplify]: Extracting #1: cost 0 inf + 1
21.869 * [simplify]: Simplified to 1
21.869 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
21.870 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
21.870 * * [simplify]: iters left: 6 (12 enodes)
21.877 * * [simplify]: iters left: 5 (51 enodes)
21.893 * * [simplify]: iters left: 4 (86 enodes)
21.921 * * [simplify]: iters left: 3 (133 enodes)
21.959 * * [simplify]: iters left: 2 (218 enodes)
22.007 * * [simplify]: iters left: 1 (444 enodes)
22.183 * * [simplify]: Extracting #0: cost 1 inf + 0
22.184 * * [simplify]: Extracting #1: cost 39 inf + 0
22.184 * * [simplify]: Extracting #2: cost 126 inf + 0
22.186 * * [simplify]: Extracting #3: cost 201 inf + 4
22.188 * * [simplify]: Extracting #4: cost 191 inf + 1382
22.193 * * [simplify]: Extracting #5: cost 133 inf + 10319
22.209 * * [simplify]: Extracting #6: cost 56 inf + 58095
22.240 * * [simplify]: Extracting #7: cost 0 inf + 104434
22.277 * * [simplify]: Extracting #8: cost 0 inf + 104433
22.309 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
22.310 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
22.310 * * * * [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)))))>
22.310 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
22.310 * * [simplify]: iters left: 6 (15 enodes)
22.319 * * [simplify]: iters left: 5 (65 enodes)
22.331 * * [simplify]: iters left: 4 (109 enodes)
22.350 * * [simplify]: iters left: 3 (185 enodes)
22.404 * * [simplify]: iters left: 2 (368 enodes)
22.540 * * [simplify]: Extracting #0: cost 1 inf + 0
22.540 * * [simplify]: Extracting #1: cost 54 inf + 0
22.540 * * [simplify]: Extracting #2: cost 144 inf + 0
22.541 * * [simplify]: Extracting #3: cost 223 inf + 2
22.542 * * [simplify]: Extracting #4: cost 205 inf + 3811
22.546 * * [simplify]: Extracting #5: cost 131 inf + 29200
22.564 * * [simplify]: Extracting #6: cost 16 inf + 109445
22.591 * * [simplify]: Extracting #7: cost 0 inf + 122156
22.614 * * [simplify]: Extracting #8: cost 0 inf + 122025
22.645 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
22.645 * [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)))))
22.645 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))
22.646 * * [simplify]: iters left: 6 (14 enodes)
22.654 * * [simplify]: iters left: 5 (60 enodes)
22.675 * * [simplify]: iters left: 4 (98 enodes)
22.707 * * [simplify]: iters left: 3 (157 enodes)
22.745 * * [simplify]: iters left: 2 (290 enodes)
22.846 * * [simplify]: Extracting #0: cost 1 inf + 0
22.846 * * [simplify]: Extracting #1: cost 30 inf + 0
22.846 * * [simplify]: Extracting #2: cost 72 inf + 0
22.846 * * [simplify]: Extracting #3: cost 138 inf + 2
22.847 * * [simplify]: Extracting #4: cost 143 inf + 890
22.850 * * [simplify]: Extracting #5: cost 80 inf + 17711
22.857 * * [simplify]: Extracting #6: cost 8 inf + 48515
22.865 * * [simplify]: Extracting #7: cost 0 inf + 53624
22.874 * * [simplify]: Extracting #8: cost 0 inf + 53424
22.882 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
22.882 * [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)))))
22.882 * * * * [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)))))>
22.883 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k))))
22.883 * * [simplify]: iters left: 6 (15 enodes)
22.891 * * [simplify]: iters left: 5 (64 enodes)
22.912 * * [simplify]: iters left: 4 (102 enodes)
22.945 * * [simplify]: iters left: 3 (161 enodes)
22.981 * * [simplify]: iters left: 2 (288 enodes)
23.040 * * [simplify]: Extracting #0: cost 1 inf + 0
23.040 * * [simplify]: Extracting #1: cost 30 inf + 0
23.040 * * [simplify]: Extracting #2: cost 73 inf + 0
23.041 * * [simplify]: Extracting #3: cost 138 inf + 2
23.041 * * [simplify]: Extracting #4: cost 143 inf + 389
23.043 * * [simplify]: Extracting #5: cost 103 inf + 4729
23.051 * * [simplify]: Extracting #6: cost 27 inf + 38097
23.066 * * [simplify]: Extracting #7: cost 0 inf + 59534
23.075 * * [simplify]: Extracting #8: cost 0 inf + 59452
23.082 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k)))
23.082 * [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)))))
23.083 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))
23.083 * * [simplify]: iters left: 6 (14 enodes)
23.087 * * [simplify]: iters left: 5 (60 enodes)
23.099 * * [simplify]: iters left: 4 (98 enodes)
23.128 * * [simplify]: iters left: 3 (157 enodes)
23.175 * * [simplify]: iters left: 2 (290 enodes)
23.245 * * [simplify]: Extracting #0: cost 1 inf + 0
23.245 * * [simplify]: Extracting #1: cost 30 inf + 0
23.245 * * [simplify]: Extracting #2: cost 72 inf + 0
23.246 * * [simplify]: Extracting #3: cost 138 inf + 2
23.246 * * [simplify]: Extracting #4: cost 143 inf + 890
23.249 * * [simplify]: Extracting #5: cost 80 inf + 17791
23.256 * * [simplify]: Extracting #6: cost 8 inf + 48595
23.264 * * [simplify]: Extracting #7: cost 0 inf + 53704
23.279 * * [simplify]: Extracting #8: cost 0 inf + 53504
23.296 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
23.296 * [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)))))
23.296 * * * * [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)))))>
23.296 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
23.296 * * [simplify]: iters left: 6 (14 enodes)
23.301 * * [simplify]: iters left: 5 (60 enodes)
23.311 * * [simplify]: iters left: 4 (98 enodes)
23.332 * * [simplify]: iters left: 3 (157 enodes)
23.385 * * [simplify]: iters left: 2 (290 enodes)
23.450 * * [simplify]: Extracting #0: cost 1 inf + 0
23.450 * * [simplify]: Extracting #1: cost 30 inf + 0
23.450 * * [simplify]: Extracting #2: cost 72 inf + 0
23.450 * * [simplify]: Extracting #3: cost 138 inf + 2
23.451 * * [simplify]: Extracting #4: cost 143 inf + 890
23.456 * * [simplify]: Extracting #5: cost 80 inf + 17431
23.470 * * [simplify]: Extracting #6: cost 8 inf + 47315
23.482 * * [simplify]: Extracting #7: cost 0 inf + 52144
23.490 * * [simplify]: Extracting #8: cost 0 inf + 51944
23.498 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
23.499 * [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)))))
23.499 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
23.499 * * [simplify]: iters left: 6 (14 enodes)
23.503 * * [simplify]: iters left: 5 (60 enodes)
23.519 * * [simplify]: iters left: 4 (98 enodes)
23.546 * * [simplify]: iters left: 3 (157 enodes)
23.582 * * [simplify]: iters left: 2 (290 enodes)
23.672 * * [simplify]: Extracting #0: cost 1 inf + 0
23.672 * * [simplify]: Extracting #1: cost 30 inf + 0
23.672 * * [simplify]: Extracting #2: cost 72 inf + 0
23.672 * * [simplify]: Extracting #3: cost 138 inf + 2
23.673 * * [simplify]: Extracting #4: cost 143 inf + 890
23.676 * * [simplify]: Extracting #5: cost 80 inf + 17431
23.682 * * [simplify]: Extracting #6: cost 8 inf + 47315
23.691 * * [simplify]: Extracting #7: cost 0 inf + 52144
23.700 * * [simplify]: Extracting #8: cost 0 inf + 51944
23.713 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
23.713 * [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)))))
23.713 * * * * [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))))>
23.714 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1))
23.714 * * [simplify]: iters left: 6 (13 enodes)
23.723 * * [simplify]: iters left: 5 (57 enodes)
23.742 * * [simplify]: iters left: 4 (93 enodes)
23.771 * * [simplify]: iters left: 3 (148 enodes)
23.800 * * [simplify]: iters left: 2 (271 enodes)
23.876 * * [simplify]: iters left: 1 (497 enodes)
24.101 * * [simplify]: Extracting #0: cost 1 inf + 0
24.101 * * [simplify]: Extracting #1: cost 54 inf + 0
24.102 * * [simplify]: Extracting #2: cost 165 inf + 2
24.103 * * [simplify]: Extracting #3: cost 238 inf + 220
24.104 * * [simplify]: Extracting #4: cost 231 inf + 855
24.111 * * [simplify]: Extracting #5: cost 139 inf + 14771
24.138 * * [simplify]: Extracting #6: cost 27 inf + 65033
24.179 * * [simplify]: Extracting #7: cost 0 inf + 84937
24.220 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4))
24.221 * [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))))
24.221 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
24.221 * * [simplify]: iters left: 6 (13 enodes)
24.229 * * [simplify]: iters left: 5 (57 enodes)
24.248 * * [simplify]: iters left: 4 (95 enodes)
24.280 * * [simplify]: iters left: 3 (154 enodes)
24.335 * * [simplify]: iters left: 2 (287 enodes)
24.407 * * [simplify]: Extracting #0: cost 1 inf + 0
24.407 * * [simplify]: Extracting #1: cost 30 inf + 0
24.408 * * [simplify]: Extracting #2: cost 73 inf + 0
24.409 * * [simplify]: Extracting #3: cost 136 inf + 3
24.411 * * [simplify]: Extracting #4: cost 130 inf + 1385
24.415 * * [simplify]: Extracting #5: cost 76 inf + 14535
24.427 * * [simplify]: Extracting #6: cost 5 inf + 50457
24.442 * * [simplify]: Extracting #7: cost 0 inf + 54374
24.457 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))
24.457 * [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))))
24.457 * * * * [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)))))>
24.458 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
24.458 * * [simplify]: iters left: 6 (14 enodes)
24.466 * * [simplify]: iters left: 5 (60 enodes)
24.486 * * [simplify]: iters left: 4 (98 enodes)
24.512 * * [simplify]: iters left: 3 (157 enodes)
24.552 * * [simplify]: iters left: 2 (290 enodes)
24.640 * * [simplify]: Extracting #0: cost 1 inf + 0
24.641 * * [simplify]: Extracting #1: cost 30 inf + 0
24.641 * * [simplify]: Extracting #2: cost 72 inf + 0
24.641 * * [simplify]: Extracting #3: cost 138 inf + 2
24.642 * * [simplify]: Extracting #4: cost 143 inf + 890
24.647 * * [simplify]: Extracting #5: cost 80 inf + 17431
24.661 * * [simplify]: Extracting #6: cost 8 inf + 47315
24.678 * * [simplify]: Extracting #7: cost 0 inf + 52144
24.695 * * [simplify]: Extracting #8: cost 0 inf + 51944
24.711 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
24.712 * [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)))))
24.712 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
24.712 * * [simplify]: iters left: 6 (14 enodes)
24.721 * * [simplify]: iters left: 5 (60 enodes)
24.741 * * [simplify]: iters left: 4 (98 enodes)
24.776 * * [simplify]: iters left: 3 (157 enodes)
24.807 * * [simplify]: iters left: 2 (290 enodes)
24.911 * * [simplify]: Extracting #0: cost 1 inf + 0
24.911 * * [simplify]: Extracting #1: cost 30 inf + 0
24.911 * * [simplify]: Extracting #2: cost 72 inf + 0
24.912 * * [simplify]: Extracting #3: cost 138 inf + 2
24.912 * * [simplify]: Extracting #4: cost 143 inf + 890
24.915 * * [simplify]: Extracting #5: cost 80 inf + 17431
24.922 * * [simplify]: Extracting #6: cost 8 inf + 47315
24.933 * * [simplify]: Extracting #7: cost 0 inf + 52144
24.950 * * [simplify]: Extracting #8: cost 0 inf + 51944
24.966 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
24.966 * [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)))))
24.966 * * * * [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))))>
24.966 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1)
24.966 * * [simplify]: iters left: 6 (12 enodes)
24.971 * * [simplify]: iters left: 5 (52 enodes)
24.980 * * [simplify]: iters left: 4 (90 enodes)
25.000 * * [simplify]: iters left: 3 (151 enodes)
25.040 * * [simplify]: iters left: 2 (287 enodes)
25.130 * * [simplify]: Extracting #0: cost 1 inf + 0
25.130 * * [simplify]: Extracting #1: cost 31 inf + 0
25.131 * * [simplify]: Extracting #2: cost 99 inf + 2
25.131 * * [simplify]: Extracting #3: cost 141 inf + 219
25.132 * * [simplify]: Extracting #4: cost 139 inf + 807
25.133 * * [simplify]: Extracting #5: cost 85 inf + 6440
25.137 * * [simplify]: Extracting #6: cost 41 inf + 22533
25.143 * * [simplify]: Extracting #7: cost 3 inf + 47776
25.150 * * [simplify]: Extracting #8: cost 0 inf + 50387
25.157 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
25.157 * [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))))
25.158 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
25.158 * * [simplify]: iters left: 6 (13 enodes)
25.162 * * [simplify]: iters left: 5 (57 enodes)
25.172 * * [simplify]: iters left: 4 (95 enodes)
25.201 * * [simplify]: iters left: 3 (154 enodes)
25.244 * * [simplify]: iters left: 2 (287 enodes)
25.318 * * [simplify]: Extracting #0: cost 1 inf + 0
25.318 * * [simplify]: Extracting #1: cost 30 inf + 0
25.319 * * [simplify]: Extracting #2: cost 73 inf + 0
25.319 * * [simplify]: Extracting #3: cost 136 inf + 3
25.320 * * [simplify]: Extracting #4: cost 130 inf + 1385
25.322 * * [simplify]: Extracting #5: cost 76 inf + 14535
25.328 * * [simplify]: Extracting #6: cost 5 inf + 50457
25.340 * * [simplify]: Extracting #7: cost 0 inf + 54374
25.355 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))
25.355 * [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))))
25.355 * * * * [progress]: [ 109 / 133 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
25.355 * * * * [progress]: [ 110 / 133 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
25.355 * * * * [progress]: [ 111 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
25.355 * * * * [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))))>
25.355 * [simplify]: Simplifying (cbrt (sqrt k))
25.355 * * [simplify]: iters left: 2 (3 enodes)
25.357 * * [simplify]: iters left: 1 (9 enodes)
25.359 * * [simplify]: Extracting #0: cost 1 inf + 0
25.359 * * [simplify]: Extracting #1: cost 3 inf + 0
25.359 * * [simplify]: Extracting #2: cost 5 inf + 0
25.359 * * [simplify]: Extracting #3: cost 4 inf + 1
25.359 * * [simplify]: Extracting #4: cost 0 inf + 325
25.359 * [simplify]: Simplified to (cbrt (sqrt k))
25.359 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
25.360 * * * * [progress]: [ 113 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
25.360 * [simplify]: Simplifying (sqrt (cbrt k))
25.360 * * [simplify]: iters left: 2 (3 enodes)
25.361 * * [simplify]: iters left: 1 (9 enodes)
25.363 * * [simplify]: Extracting #0: cost 1 inf + 0
25.363 * * [simplify]: Extracting #1: cost 3 inf + 0
25.363 * * [simplify]: Extracting #2: cost 5 inf + 0
25.364 * * [simplify]: Extracting #3: cost 4 inf + 1
25.364 * * [simplify]: Extracting #4: cost 0 inf + 405
25.364 * [simplify]: Simplified to (sqrt (cbrt k))
25.364 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))
25.364 * * * * [progress]: [ 114 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
25.364 * [simplify]: Simplifying (sqrt (sqrt k))
25.364 * * [simplify]: iters left: 2 (3 enodes)
25.365 * * [simplify]: iters left: 1 (9 enodes)
25.366 * * [simplify]: Extracting #0: cost 1 inf + 0
25.366 * * [simplify]: Extracting #1: cost 3 inf + 0
25.366 * * [simplify]: Extracting #2: cost 5 inf + 0
25.366 * * [simplify]: Extracting #3: cost 4 inf + 1
25.366 * * [simplify]: Extracting #4: cost 0 inf + 245
25.366 * [simplify]: Simplified to (sqrt (sqrt k))
25.366 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
25.366 * * * * [progress]: [ 115 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))>
25.366 * [simplify]: Simplifying (sqrt k)
25.366 * * [simplify]: iters left: 1 (2 enodes)
25.367 * * [simplify]: Extracting #0: cost 1 inf + 0
25.367 * * [simplify]: Extracting #1: cost 3 inf + 0
25.367 * * [simplify]: Extracting #2: cost 2 inf + 1
25.367 * * [simplify]: Extracting #3: cost 0 inf + 83
25.367 * [simplify]: Simplified to (sqrt k)
25.367 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))
25.367 * * * * [progress]: [ 116 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
25.367 * [simplify]: Simplifying (sqrt (sqrt k))
25.367 * * [simplify]: iters left: 2 (3 enodes)
25.368 * * [simplify]: iters left: 1 (9 enodes)
25.369 * * [simplify]: Extracting #0: cost 1 inf + 0
25.369 * * [simplify]: Extracting #1: cost 3 inf + 0
25.369 * * [simplify]: Extracting #2: cost 5 inf + 0
25.369 * * [simplify]: Extracting #3: cost 4 inf + 1
25.369 * * [simplify]: Extracting #4: cost 0 inf + 245
25.369 * [simplify]: Simplified to (sqrt (sqrt k))
25.369 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
25.369 * * * * [progress]: [ 117 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
25.369 * [simplify]: Simplifying (sqrt k)
25.369 * * [simplify]: iters left: 1 (2 enodes)
25.370 * * [simplify]: Extracting #0: cost 1 inf + 0
25.370 * * [simplify]: Extracting #1: cost 3 inf + 0
25.370 * * [simplify]: Extracting #2: cost 2 inf + 1
25.370 * * [simplify]: Extracting #3: cost 0 inf + 83
25.370 * [simplify]: Simplified to (sqrt k)
25.370 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))
25.370 * * * * [progress]: [ 118 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))>
25.370 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
25.370 * * [simplify]: iters left: 5 (7 enodes)
25.373 * * [simplify]: iters left: 4 (32 enodes)
25.379 * * [simplify]: iters left: 3 (57 enodes)
25.393 * * [simplify]: iters left: 2 (88 enodes)
25.417 * * [simplify]: iters left: 1 (156 enodes)
25.459 * * [simplify]: Extracting #0: cost 1 inf + 0
25.459 * * [simplify]: Extracting #1: cost 13 inf + 0
25.459 * * [simplify]: Extracting #2: cost 49 inf + 2
25.460 * * [simplify]: Extracting #3: cost 80 inf + 6
25.460 * * [simplify]: Extracting #4: cost 58 inf + 1840
25.462 * * [simplify]: Extracting #5: cost 22 inf + 9206
25.464 * * [simplify]: Extracting #6: cost 1 inf + 20886
25.467 * * [simplify]: Extracting #7: cost 0 inf + 21301
25.470 * * [simplify]: Extracting #8: cost 0 inf + 21130
25.473 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
25.473 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
25.473 * * * * [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))))))>
25.474 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
25.474 * * [simplify]: iters left: 6 (12 enodes)
25.478 * * [simplify]: iters left: 5 (51 enodes)
25.490 * * [simplify]: iters left: 4 (84 enodes)
25.516 * * [simplify]: iters left: 3 (125 enodes)
25.556 * * [simplify]: iters left: 2 (198 enodes)
25.632 * * [simplify]: iters left: 1 (353 enodes)
25.798 * * [simplify]: Extracting #0: cost 1 inf + 0
25.798 * * [simplify]: Extracting #1: cost 3 inf + 0
25.798 * * [simplify]: Extracting #2: cost 5 inf + 0
25.798 * * [simplify]: Extracting #3: cost 28 inf + 0
25.799 * * [simplify]: Extracting #4: cost 101 inf + 1
25.800 * * [simplify]: Extracting #5: cost 136 inf + 176
25.801 * * [simplify]: Extracting #6: cost 126 inf + 1348
25.805 * * [simplify]: Extracting #7: cost 70 inf + 12457
25.812 * * [simplify]: Extracting #8: cost 19 inf + 42176
25.822 * * [simplify]: Extracting #9: cost 0 inf + 57297
25.835 * * [simplify]: Extracting #10: cost 0 inf + 56855
25.844 * * [simplify]: Extracting #11: cost 0 inf + 56816
25.860 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
25.860 * [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))))))
25.860 * * * * [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))))))>
25.861 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
25.861 * * [simplify]: iters left: 6 (11 enodes)
25.866 * * [simplify]: iters left: 5 (48 enodes)
25.874 * * [simplify]: iters left: 4 (78 enodes)
25.887 * * [simplify]: iters left: 3 (120 enodes)
25.920 * * [simplify]: iters left: 2 (211 enodes)
25.982 * * [simplify]: iters left: 1 (380 enodes)
26.111 * * [simplify]: Extracting #0: cost 1 inf + 0
26.111 * * [simplify]: Extracting #1: cost 4 inf + 0
26.111 * * [simplify]: Extracting #2: cost 29 inf + 0
26.111 * * [simplify]: Extracting #3: cost 113 inf + 1
26.115 * * [simplify]: Extracting #4: cost 155 inf + 220
26.117 * * [simplify]: Extracting #5: cost 153 inf + 561
26.119 * * [simplify]: Extracting #6: cost 121 inf + 2833
26.125 * * [simplify]: Extracting #7: cost 68 inf + 14038
26.140 * * [simplify]: Extracting #8: cost 15 inf + 50044
26.150 * * [simplify]: Extracting #9: cost 0 inf + 59395
26.161 * * [simplify]: Extracting #10: cost 0 inf + 59194
26.176 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
26.177 * [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))))))
26.177 * * * * [progress]: [ 121 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
26.177 * * * * [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)))))>
26.177 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
26.178 * * [simplify]: iters left: 6 (11 enodes)
26.187 * * [simplify]: iters left: 5 (51 enodes)
26.204 * * [simplify]: iters left: 4 (87 enodes)
26.223 * * [simplify]: iters left: 3 (143 enodes)
26.252 * * [simplify]: iters left: 2 (259 enodes)
26.325 * * [simplify]: iters left: 1 (469 enodes)
26.536 * * [simplify]: Extracting #0: cost 1 inf + 0
26.536 * * [simplify]: Extracting #1: cost 24 inf + 0
26.537 * * [simplify]: Extracting #2: cost 110 inf + 1
26.538 * * [simplify]: Extracting #3: cost 192 inf + 178
26.540 * * [simplify]: Extracting #4: cost 178 inf + 1845
26.547 * * [simplify]: Extracting #5: cost 89 inf + 12477
26.558 * * [simplify]: Extracting #6: cost 41 inf + 28219
26.578 * * [simplify]: Extracting #7: cost 4 inf + 58625
26.599 * * [simplify]: Extracting #8: cost 0 inf + 62670
26.610 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k)))
26.610 * [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)))))
26.610 * * * * [progress]: [ 123 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
26.610 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2))
26.610 * * [simplify]: iters left: 5 (8 enodes)
26.614 * * [simplify]: iters left: 4 (35 enodes)
26.625 * * [simplify]: iters left: 3 (63 enodes)
26.638 * * [simplify]: iters left: 2 (108 enodes)
26.656 * * [simplify]: iters left: 1 (162 enodes)
26.685 * * [simplify]: Extracting #0: cost 1 inf + 0
26.685 * * [simplify]: Extracting #1: cost 12 inf + 0
26.685 * * [simplify]: Extracting #2: cost 40 inf + 2
26.686 * * [simplify]: Extracting #3: cost 40 inf + 9
26.686 * * [simplify]: Extracting #4: cost 25 inf + 2233
26.687 * * [simplify]: Extracting #5: cost 10 inf + 8991
26.688 * * [simplify]: Extracting #6: cost 0 inf + 14572
26.690 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
26.690 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))
26.690 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
26.690 * * * * [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)))>
26.690 * [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)))))
26.691 * * [simplify]: iters left: 6 (37 enodes)
26.705 * * [simplify]: iters left: 5 (190 enodes)
26.746 * * [simplify]: Extracting #0: cost 1 inf + 0
26.746 * * [simplify]: Extracting #1: cost 22 inf + 0
26.747 * * [simplify]: Extracting #2: cost 108 inf + 1
26.747 * * [simplify]: Extracting #3: cost 171 inf + 46
26.748 * * [simplify]: Extracting #4: cost 189 inf + 427
26.750 * * [simplify]: Extracting #5: cost 128 inf + 16032
26.763 * * [simplify]: Extracting #6: cost 29 inf + 57153
26.777 * * [simplify]: Extracting #7: cost 4 inf + 75884
26.797 * * [simplify]: Extracting #8: cost 0 inf + 78767
26.817 * [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)))
26.817 * [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)))
26.818 * * * * [progress]: [ 126 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
26.818 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
26.818 * * [simplify]: iters left: 6 (15 enodes)
26.828 * * [simplify]: iters left: 5 (65 enodes)
26.851 * * [simplify]: iters left: 4 (123 enodes)
26.903 * * [simplify]: iters left: 3 (367 enodes)
27.091 * * [simplify]: Extracting #0: cost 1 inf + 0
27.091 * * [simplify]: Extracting #1: cost 37 inf + 0
27.092 * * [simplify]: Extracting #2: cost 216 inf + 72
27.094 * * [simplify]: Extracting #3: cost 356 inf + 1622
27.098 * * [simplify]: Extracting #4: cost 219 inf + 28945
27.116 * * [simplify]: Extracting #5: cost 21 inf + 83197
27.136 * * [simplify]: Extracting #6: cost 0 inf + 89881
27.161 * * [simplify]: Extracting #7: cost 0 inf + 89729
27.177 * * [simplify]: Extracting #8: cost 0 inf + 89726
27.197 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))
27.197 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k)))
27.197 * * * * [progress]: [ 127 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
27.197 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
27.197 * * [simplify]: iters left: 6 (16 enodes)
27.203 * * [simplify]: iters left: 5 (67 enodes)
27.216 * * [simplify]: iters left: 4 (134 enodes)
27.247 * * [simplify]: iters left: 3 (413 enodes)
27.450 * * [simplify]: Extracting #0: cost 1 inf + 0
27.450 * * [simplify]: Extracting #1: cost 39 inf + 0
27.451 * * [simplify]: Extracting #2: cost 241 inf + 72
27.453 * * [simplify]: Extracting #3: cost 450 inf + 903
27.456 * * [simplify]: Extracting #4: cost 376 inf + 10375
27.466 * * [simplify]: Extracting #5: cost 158 inf + 67083
27.487 * * [simplify]: Extracting #6: cost 12 inf + 118840
27.518 * * [simplify]: Extracting #7: cost 0 inf + 121984
27.564 * * [simplify]: Extracting #8: cost 0 inf + 121983
27.608 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))
27.608 * [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)))
27.608 * * * * [progress]: [ 128 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
27.609 * [simplify]: Simplifying (* 2 (* n PI))
27.609 * * [simplify]: iters left: 4 (5 enodes)
27.612 * * [simplify]: iters left: 3 (19 enodes)
27.618 * * [simplify]: iters left: 2 (27 enodes)
27.627 * * [simplify]: iters left: 1 (32 enodes)
27.635 * * [simplify]: Extracting #0: cost 1 inf + 0
27.635 * * [simplify]: Extracting #1: cost 8 inf + 0
27.635 * * [simplify]: Extracting #2: cost 7 inf + 45
27.636 * * [simplify]: Extracting #3: cost 0 inf + 421
27.636 * [simplify]: Simplified to (* (* PI n) 2)
27.636 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
27.636 * * * * [progress]: [ 129 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
27.636 * [simplify]: Simplifying (* 2 (* n PI))
27.636 * * [simplify]: iters left: 4 (5 enodes)
27.639 * * [simplify]: iters left: 3 (19 enodes)
27.643 * * [simplify]: iters left: 2 (27 enodes)
27.646 * * [simplify]: iters left: 1 (32 enodes)
27.652 * * [simplify]: Extracting #0: cost 1 inf + 0
27.652 * * [simplify]: Extracting #1: cost 8 inf + 0
27.652 * * [simplify]: Extracting #2: cost 7 inf + 45
27.652 * * [simplify]: Extracting #3: cost 0 inf + 421
27.652 * [simplify]: Simplified to (* (* PI n) 2)
27.653 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
27.653 * * * * [progress]: [ 130 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
27.653 * [simplify]: Simplifying (* 2 (* n PI))
27.653 * * [simplify]: iters left: 4 (5 enodes)
27.654 * * [simplify]: iters left: 3 (19 enodes)
27.657 * * [simplify]: iters left: 2 (27 enodes)
27.661 * * [simplify]: iters left: 1 (32 enodes)
27.665 * * [simplify]: Extracting #0: cost 1 inf + 0
27.665 * * [simplify]: Extracting #1: cost 8 inf + 0
27.666 * * [simplify]: Extracting #2: cost 7 inf + 45
27.666 * * [simplify]: Extracting #3: cost 0 inf + 421
27.666 * [simplify]: Simplified to (* (* PI n) 2)
27.666 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
27.666 * * * * [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)))))))))))))))))))))))>
27.666 * [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))))))))))))))))))))))
27.666 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
27.667 * * * * [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)))))))))>
27.667 * [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))))))))
27.667 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
27.667 * * * * [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)))))))))))))>
27.667 * [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))))))))))))
27.667 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
27.667 * * * [progress]: adding candidates to table
29.165 * * [progress]: iteration 2 / 4
29.165 * * * [progress]: picking best candidate
29.200 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
29.200 * * * [progress]: localizing error
29.236 * * * [progress]: generating rewritten candidates
29.236 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2)
29.251 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
29.268 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1)
29.280 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
29.305 * * * [progress]: generating series expansions
29.305 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2)
29.306 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
29.307 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
29.307 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
29.307 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
29.307 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
29.307 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
29.307 * [taylor]: Taking taylor expansion of 1/4 in k
29.307 * [backup-simplify]: Simplify 1/4 into 1/4
29.307 * [taylor]: Taking taylor expansion of (- 1 k) in k
29.307 * [taylor]: Taking taylor expansion of 1 in k
29.307 * [backup-simplify]: Simplify 1 into 1
29.307 * [taylor]: Taking taylor expansion of k in k
29.307 * [backup-simplify]: Simplify 0 into 0
29.307 * [backup-simplify]: Simplify 1 into 1
29.307 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
29.307 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
29.307 * [taylor]: Taking taylor expansion of 2 in k
29.307 * [backup-simplify]: Simplify 2 into 2
29.307 * [taylor]: Taking taylor expansion of (* n PI) in k
29.307 * [taylor]: Taking taylor expansion of n in k
29.307 * [backup-simplify]: Simplify n into n
29.307 * [taylor]: Taking taylor expansion of PI in k
29.307 * [backup-simplify]: Simplify PI into PI
29.307 * [backup-simplify]: Simplify (* n PI) into (* n PI)
29.307 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
29.307 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
29.308 * [backup-simplify]: Simplify (- 0) into 0
29.308 * [backup-simplify]: Simplify (+ 1 0) into 1
29.309 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
29.309 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
29.309 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
29.309 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
29.309 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
29.309 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
29.309 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
29.309 * [taylor]: Taking taylor expansion of 1/4 in n
29.309 * [backup-simplify]: Simplify 1/4 into 1/4
29.309 * [taylor]: Taking taylor expansion of (- 1 k) in n
29.309 * [taylor]: Taking taylor expansion of 1 in n
29.309 * [backup-simplify]: Simplify 1 into 1
29.309 * [taylor]: Taking taylor expansion of k in n
29.309 * [backup-simplify]: Simplify k into k
29.309 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
29.309 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.309 * [taylor]: Taking taylor expansion of 2 in n
29.309 * [backup-simplify]: Simplify 2 into 2
29.309 * [taylor]: Taking taylor expansion of (* n PI) in n
29.309 * [taylor]: Taking taylor expansion of n in n
29.309 * [backup-simplify]: Simplify 0 into 0
29.309 * [backup-simplify]: Simplify 1 into 1
29.309 * [taylor]: Taking taylor expansion of PI in n
29.309 * [backup-simplify]: Simplify PI into PI
29.310 * [backup-simplify]: Simplify (* 0 PI) into 0
29.310 * [backup-simplify]: Simplify (* 2 0) into 0
29.312 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
29.313 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
29.314 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.314 * [backup-simplify]: Simplify (- k) into (- k)
29.314 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
29.314 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
29.316 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.317 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
29.318 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
29.318 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
29.318 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
29.318 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
29.318 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
29.318 * [taylor]: Taking taylor expansion of 1/4 in n
29.318 * [backup-simplify]: Simplify 1/4 into 1/4
29.318 * [taylor]: Taking taylor expansion of (- 1 k) in n
29.318 * [taylor]: Taking taylor expansion of 1 in n
29.318 * [backup-simplify]: Simplify 1 into 1
29.318 * [taylor]: Taking taylor expansion of k in n
29.318 * [backup-simplify]: Simplify k into k
29.318 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
29.318 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.318 * [taylor]: Taking taylor expansion of 2 in n
29.318 * [backup-simplify]: Simplify 2 into 2
29.318 * [taylor]: Taking taylor expansion of (* n PI) in n
29.318 * [taylor]: Taking taylor expansion of n in n
29.318 * [backup-simplify]: Simplify 0 into 0
29.318 * [backup-simplify]: Simplify 1 into 1
29.318 * [taylor]: Taking taylor expansion of PI in n
29.318 * [backup-simplify]: Simplify PI into PI
29.319 * [backup-simplify]: Simplify (* 0 PI) into 0
29.319 * [backup-simplify]: Simplify (* 2 0) into 0
29.321 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
29.323 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
29.324 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.324 * [backup-simplify]: Simplify (- k) into (- k)
29.324 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
29.324 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
29.325 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.326 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
29.327 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
29.328 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
29.328 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
29.328 * [taylor]: Taking taylor expansion of 1/4 in k
29.328 * [backup-simplify]: Simplify 1/4 into 1/4
29.328 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
29.328 * [taylor]: Taking taylor expansion of (- 1 k) in k
29.328 * [taylor]: Taking taylor expansion of 1 in k
29.328 * [backup-simplify]: Simplify 1 into 1
29.328 * [taylor]: Taking taylor expansion of k in k
29.328 * [backup-simplify]: Simplify 0 into 0
29.328 * [backup-simplify]: Simplify 1 into 1
29.328 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
29.328 * [taylor]: Taking taylor expansion of (log n) in k
29.328 * [taylor]: Taking taylor expansion of n in k
29.328 * [backup-simplify]: Simplify n into n
29.328 * [backup-simplify]: Simplify (log n) into (log n)
29.328 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
29.328 * [taylor]: Taking taylor expansion of (* 2 PI) in k
29.328 * [taylor]: Taking taylor expansion of 2 in k
29.328 * [backup-simplify]: Simplify 2 into 2
29.328 * [taylor]: Taking taylor expansion of PI in k
29.328 * [backup-simplify]: Simplify PI into PI
29.329 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.330 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.330 * [backup-simplify]: Simplify (- 0) into 0
29.330 * [backup-simplify]: Simplify (+ 1 0) into 1
29.331 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.332 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
29.333 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
29.335 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
29.336 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
29.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
29.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
29.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
29.340 * [backup-simplify]: Simplify (- 0) into 0
29.340 * [backup-simplify]: Simplify (+ 0 0) into 0
29.341 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
29.342 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.343 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
29.345 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
29.345 * [taylor]: Taking taylor expansion of 0 in k
29.345 * [backup-simplify]: Simplify 0 into 0
29.345 * [backup-simplify]: Simplify 0 into 0
29.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
29.347 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
29.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
29.349 * [backup-simplify]: Simplify (+ 0 0) into 0
29.349 * [backup-simplify]: Simplify (- 1) into -1
29.350 * [backup-simplify]: Simplify (+ 0 -1) into -1
29.351 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
29.353 * [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)))))
29.357 * [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)))))))
29.360 * [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)))))))
29.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
29.362 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
29.366 * [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
29.366 * [backup-simplify]: Simplify (- 0) into 0
29.367 * [backup-simplify]: Simplify (+ 0 0) into 0
29.367 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
29.369 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.370 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
29.372 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
29.372 * [taylor]: Taking taylor expansion of 0 in k
29.372 * [backup-simplify]: Simplify 0 into 0
29.372 * [backup-simplify]: Simplify 0 into 0
29.372 * [backup-simplify]: Simplify 0 into 0
29.373 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
29.374 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
29.376 * [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
29.376 * [backup-simplify]: Simplify (+ 0 0) into 0
29.376 * [backup-simplify]: Simplify (- 0) into 0
29.376 * [backup-simplify]: Simplify (+ 0 0) into 0
29.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
29.379 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
29.381 * [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)))))
29.384 * [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)))))
29.389 * [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)))))))
29.390 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
29.390 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
29.390 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
29.390 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
29.390 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
29.390 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
29.390 * [taylor]: Taking taylor expansion of 1/4 in k
29.390 * [backup-simplify]: Simplify 1/4 into 1/4
29.390 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
29.390 * [taylor]: Taking taylor expansion of 1 in k
29.390 * [backup-simplify]: Simplify 1 into 1
29.390 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.390 * [taylor]: Taking taylor expansion of k in k
29.390 * [backup-simplify]: Simplify 0 into 0
29.390 * [backup-simplify]: Simplify 1 into 1
29.390 * [backup-simplify]: Simplify (/ 1 1) into 1
29.390 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
29.390 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
29.390 * [taylor]: Taking taylor expansion of 2 in k
29.390 * [backup-simplify]: Simplify 2 into 2
29.390 * [taylor]: Taking taylor expansion of (/ PI n) in k
29.390 * [taylor]: Taking taylor expansion of PI in k
29.390 * [backup-simplify]: Simplify PI into PI
29.390 * [taylor]: Taking taylor expansion of n in k
29.390 * [backup-simplify]: Simplify n into n
29.390 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
29.391 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
29.391 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
29.391 * [backup-simplify]: Simplify (- 1) into -1
29.391 * [backup-simplify]: Simplify (+ 0 -1) into -1
29.391 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
29.391 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
29.392 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
29.392 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
29.392 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
29.392 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
29.392 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
29.392 * [taylor]: Taking taylor expansion of 1/4 in n
29.392 * [backup-simplify]: Simplify 1/4 into 1/4
29.392 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
29.392 * [taylor]: Taking taylor expansion of 1 in n
29.392 * [backup-simplify]: Simplify 1 into 1
29.392 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.392 * [taylor]: Taking taylor expansion of k in n
29.392 * [backup-simplify]: Simplify k into k
29.392 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.392 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
29.392 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.392 * [taylor]: Taking taylor expansion of 2 in n
29.392 * [backup-simplify]: Simplify 2 into 2
29.392 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.392 * [taylor]: Taking taylor expansion of PI in n
29.392 * [backup-simplify]: Simplify PI into PI
29.392 * [taylor]: Taking taylor expansion of n in n
29.392 * [backup-simplify]: Simplify 0 into 0
29.392 * [backup-simplify]: Simplify 1 into 1
29.392 * [backup-simplify]: Simplify (/ PI 1) into PI
29.392 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.393 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.393 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
29.393 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
29.393 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
29.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.395 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
29.395 * [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)))))
29.395 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
29.395 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
29.395 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
29.395 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
29.395 * [taylor]: Taking taylor expansion of 1/4 in n
29.396 * [backup-simplify]: Simplify 1/4 into 1/4
29.396 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
29.396 * [taylor]: Taking taylor expansion of 1 in n
29.396 * [backup-simplify]: Simplify 1 into 1
29.396 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.396 * [taylor]: Taking taylor expansion of k in n
29.396 * [backup-simplify]: Simplify k into k
29.396 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.396 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
29.396 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.396 * [taylor]: Taking taylor expansion of 2 in n
29.396 * [backup-simplify]: Simplify 2 into 2
29.396 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.396 * [taylor]: Taking taylor expansion of PI in n
29.396 * [backup-simplify]: Simplify PI into PI
29.396 * [taylor]: Taking taylor expansion of n in n
29.396 * [backup-simplify]: Simplify 0 into 0
29.396 * [backup-simplify]: Simplify 1 into 1
29.396 * [backup-simplify]: Simplify (/ PI 1) into PI
29.396 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.397 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.397 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
29.397 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
29.397 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
29.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.399 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
29.399 * [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)))))
29.399 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
29.399 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
29.399 * [taylor]: Taking taylor expansion of 1/4 in k
29.399 * [backup-simplify]: Simplify 1/4 into 1/4
29.399 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
29.399 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
29.399 * [taylor]: Taking taylor expansion of 1 in k
29.399 * [backup-simplify]: Simplify 1 into 1
29.399 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.399 * [taylor]: Taking taylor expansion of k in k
29.399 * [backup-simplify]: Simplify 0 into 0
29.399 * [backup-simplify]: Simplify 1 into 1
29.400 * [backup-simplify]: Simplify (/ 1 1) into 1
29.400 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
29.400 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
29.400 * [taylor]: Taking taylor expansion of (* 2 PI) in k
29.400 * [taylor]: Taking taylor expansion of 2 in k
29.400 * [backup-simplify]: Simplify 2 into 2
29.400 * [taylor]: Taking taylor expansion of PI in k
29.400 * [backup-simplify]: Simplify PI into PI
29.400 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.401 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.401 * [taylor]: Taking taylor expansion of (log n) in k
29.401 * [taylor]: Taking taylor expansion of n in k
29.401 * [backup-simplify]: Simplify n into n
29.401 * [backup-simplify]: Simplify (log n) into (log n)
29.401 * [backup-simplify]: Simplify (- 1) into -1
29.401 * [backup-simplify]: Simplify (+ 0 -1) into -1
29.401 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
29.402 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
29.403 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
29.410 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
29.412 * [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)))))
29.413 * [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)))))
29.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.414 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
29.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
29.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
29.417 * [backup-simplify]: Simplify (- 0) into 0
29.417 * [backup-simplify]: Simplify (+ 0 0) into 0
29.417 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
29.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.420 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
29.422 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
29.422 * [taylor]: Taking taylor expansion of 0 in k
29.422 * [backup-simplify]: Simplify 0 into 0
29.422 * [backup-simplify]: Simplify 0 into 0
29.422 * [backup-simplify]: Simplify 0 into 0
29.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
29.427 * [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
29.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.428 * [backup-simplify]: Simplify (- 0) into 0
29.428 * [backup-simplify]: Simplify (+ 0 0) into 0
29.429 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
29.431 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.433 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
29.435 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
29.435 * [taylor]: Taking taylor expansion of 0 in k
29.435 * [backup-simplify]: Simplify 0 into 0
29.435 * [backup-simplify]: Simplify 0 into 0
29.435 * [backup-simplify]: Simplify 0 into 0
29.435 * [backup-simplify]: Simplify 0 into 0
29.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.437 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.440 * [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
29.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.440 * [backup-simplify]: Simplify (- 0) into 0
29.440 * [backup-simplify]: Simplify (+ 0 0) into 0
29.441 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
29.442 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.443 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
29.445 * [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
29.445 * [taylor]: Taking taylor expansion of 0 in k
29.445 * [backup-simplify]: Simplify 0 into 0
29.445 * [backup-simplify]: Simplify 0 into 0
29.446 * [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))))))
29.446 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
29.446 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
29.446 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
29.446 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
29.446 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
29.446 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
29.446 * [taylor]: Taking taylor expansion of 1/4 in k
29.446 * [backup-simplify]: Simplify 1/4 into 1/4
29.446 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
29.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.446 * [taylor]: Taking taylor expansion of k in k
29.446 * [backup-simplify]: Simplify 0 into 0
29.446 * [backup-simplify]: Simplify 1 into 1
29.447 * [backup-simplify]: Simplify (/ 1 1) into 1
29.447 * [taylor]: Taking taylor expansion of 1 in k
29.447 * [backup-simplify]: Simplify 1 into 1
29.447 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
29.447 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
29.447 * [taylor]: Taking taylor expansion of -2 in k
29.447 * [backup-simplify]: Simplify -2 into -2
29.447 * [taylor]: Taking taylor expansion of (/ PI n) in k
29.447 * [taylor]: Taking taylor expansion of PI in k
29.447 * [backup-simplify]: Simplify PI into PI
29.447 * [taylor]: Taking taylor expansion of n in k
29.447 * [backup-simplify]: Simplify n into n
29.447 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
29.447 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
29.447 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
29.447 * [backup-simplify]: Simplify (+ 1 0) into 1
29.447 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
29.448 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
29.448 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
29.448 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
29.448 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
29.448 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
29.448 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
29.448 * [taylor]: Taking taylor expansion of 1/4 in n
29.448 * [backup-simplify]: Simplify 1/4 into 1/4
29.448 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
29.448 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.448 * [taylor]: Taking taylor expansion of k in n
29.448 * [backup-simplify]: Simplify k into k
29.448 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.448 * [taylor]: Taking taylor expansion of 1 in n
29.448 * [backup-simplify]: Simplify 1 into 1
29.448 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
29.448 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.448 * [taylor]: Taking taylor expansion of -2 in n
29.448 * [backup-simplify]: Simplify -2 into -2
29.448 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.448 * [taylor]: Taking taylor expansion of PI in n
29.448 * [backup-simplify]: Simplify PI into PI
29.448 * [taylor]: Taking taylor expansion of n in n
29.448 * [backup-simplify]: Simplify 0 into 0
29.448 * [backup-simplify]: Simplify 1 into 1
29.448 * [backup-simplify]: Simplify (/ PI 1) into PI
29.449 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.449 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
29.449 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
29.449 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
29.450 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.451 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
29.452 * [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)))))
29.452 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
29.452 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
29.452 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
29.452 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
29.452 * [taylor]: Taking taylor expansion of 1/4 in n
29.452 * [backup-simplify]: Simplify 1/4 into 1/4
29.452 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
29.452 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.452 * [taylor]: Taking taylor expansion of k in n
29.452 * [backup-simplify]: Simplify k into k
29.452 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.452 * [taylor]: Taking taylor expansion of 1 in n
29.452 * [backup-simplify]: Simplify 1 into 1
29.452 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
29.452 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.452 * [taylor]: Taking taylor expansion of -2 in n
29.452 * [backup-simplify]: Simplify -2 into -2
29.452 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.452 * [taylor]: Taking taylor expansion of PI in n
29.452 * [backup-simplify]: Simplify PI into PI
29.452 * [taylor]: Taking taylor expansion of n in n
29.452 * [backup-simplify]: Simplify 0 into 0
29.452 * [backup-simplify]: Simplify 1 into 1
29.452 * [backup-simplify]: Simplify (/ PI 1) into PI
29.453 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.453 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
29.453 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
29.453 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
29.454 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.455 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
29.455 * [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)))))
29.456 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
29.456 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
29.456 * [taylor]: Taking taylor expansion of 1/4 in k
29.456 * [backup-simplify]: Simplify 1/4 into 1/4
29.456 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
29.456 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
29.456 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.456 * [taylor]: Taking taylor expansion of k in k
29.456 * [backup-simplify]: Simplify 0 into 0
29.456 * [backup-simplify]: Simplify 1 into 1
29.456 * [backup-simplify]: Simplify (/ 1 1) into 1
29.456 * [taylor]: Taking taylor expansion of 1 in k
29.456 * [backup-simplify]: Simplify 1 into 1
29.456 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
29.456 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
29.456 * [taylor]: Taking taylor expansion of (* -2 PI) in k
29.456 * [taylor]: Taking taylor expansion of -2 in k
29.456 * [backup-simplify]: Simplify -2 into -2
29.456 * [taylor]: Taking taylor expansion of PI in k
29.456 * [backup-simplify]: Simplify PI into PI
29.456 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.457 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
29.457 * [taylor]: Taking taylor expansion of (log n) in k
29.457 * [taylor]: Taking taylor expansion of n in k
29.457 * [backup-simplify]: Simplify n into n
29.457 * [backup-simplify]: Simplify (log n) into (log n)
29.457 * [backup-simplify]: Simplify (+ 1 0) into 1
29.457 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
29.458 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
29.459 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
29.459 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
29.460 * [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)))))
29.461 * [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)))))
29.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.462 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
29.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
29.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
29.464 * [backup-simplify]: Simplify (+ 0 0) into 0
29.464 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
29.465 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.466 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
29.467 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
29.467 * [taylor]: Taking taylor expansion of 0 in k
29.467 * [backup-simplify]: Simplify 0 into 0
29.467 * [backup-simplify]: Simplify 0 into 0
29.467 * [backup-simplify]: Simplify 0 into 0
29.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.469 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
29.472 * [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
29.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.473 * [backup-simplify]: Simplify (+ 0 0) into 0
29.474 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
29.475 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.476 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
29.479 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
29.479 * [taylor]: Taking taylor expansion of 0 in k
29.479 * [backup-simplify]: Simplify 0 into 0
29.479 * [backup-simplify]: Simplify 0 into 0
29.479 * [backup-simplify]: Simplify 0 into 0
29.479 * [backup-simplify]: Simplify 0 into 0
29.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.481 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.487 * [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
29.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.488 * [backup-simplify]: Simplify (+ 0 0) into 0
29.489 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
29.490 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.493 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
29.495 * [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
29.495 * [taylor]: Taking taylor expansion of 0 in k
29.495 * [backup-simplify]: Simplify 0 into 0
29.495 * [backup-simplify]: Simplify 0 into 0
29.496 * [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))))))
29.496 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
29.497 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
29.497 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
29.497 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
29.497 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
29.497 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
29.497 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
29.497 * [taylor]: Taking taylor expansion of 1/4 in k
29.497 * [backup-simplify]: Simplify 1/4 into 1/4
29.497 * [taylor]: Taking taylor expansion of (- 1 k) in k
29.497 * [taylor]: Taking taylor expansion of 1 in k
29.497 * [backup-simplify]: Simplify 1 into 1
29.497 * [taylor]: Taking taylor expansion of k in k
29.497 * [backup-simplify]: Simplify 0 into 0
29.497 * [backup-simplify]: Simplify 1 into 1
29.497 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
29.497 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
29.497 * [taylor]: Taking taylor expansion of 2 in k
29.497 * [backup-simplify]: Simplify 2 into 2
29.497 * [taylor]: Taking taylor expansion of (* n PI) in k
29.497 * [taylor]: Taking taylor expansion of n in k
29.497 * [backup-simplify]: Simplify n into n
29.497 * [taylor]: Taking taylor expansion of PI in k
29.497 * [backup-simplify]: Simplify PI into PI
29.497 * [backup-simplify]: Simplify (* n PI) into (* n PI)
29.497 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
29.497 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
29.497 * [backup-simplify]: Simplify (- 0) into 0
29.498 * [backup-simplify]: Simplify (+ 1 0) into 1
29.498 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
29.498 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
29.498 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
29.498 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
29.498 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
29.498 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
29.498 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
29.498 * [taylor]: Taking taylor expansion of 1/4 in n
29.498 * [backup-simplify]: Simplify 1/4 into 1/4
29.498 * [taylor]: Taking taylor expansion of (- 1 k) in n
29.498 * [taylor]: Taking taylor expansion of 1 in n
29.498 * [backup-simplify]: Simplify 1 into 1
29.498 * [taylor]: Taking taylor expansion of k in n
29.498 * [backup-simplify]: Simplify k into k
29.498 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
29.498 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.498 * [taylor]: Taking taylor expansion of 2 in n
29.498 * [backup-simplify]: Simplify 2 into 2
29.498 * [taylor]: Taking taylor expansion of (* n PI) in n
29.498 * [taylor]: Taking taylor expansion of n in n
29.498 * [backup-simplify]: Simplify 0 into 0
29.498 * [backup-simplify]: Simplify 1 into 1
29.498 * [taylor]: Taking taylor expansion of PI in n
29.498 * [backup-simplify]: Simplify PI into PI
29.499 * [backup-simplify]: Simplify (* 0 PI) into 0
29.499 * [backup-simplify]: Simplify (* 2 0) into 0
29.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
29.501 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
29.501 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.501 * [backup-simplify]: Simplify (- k) into (- k)
29.501 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
29.501 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
29.502 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.503 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
29.503 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
29.503 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
29.503 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
29.504 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
29.504 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
29.504 * [taylor]: Taking taylor expansion of 1/4 in n
29.504 * [backup-simplify]: Simplify 1/4 into 1/4
29.504 * [taylor]: Taking taylor expansion of (- 1 k) in n
29.504 * [taylor]: Taking taylor expansion of 1 in n
29.504 * [backup-simplify]: Simplify 1 into 1
29.504 * [taylor]: Taking taylor expansion of k in n
29.504 * [backup-simplify]: Simplify k into k
29.504 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
29.504 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.504 * [taylor]: Taking taylor expansion of 2 in n
29.504 * [backup-simplify]: Simplify 2 into 2
29.504 * [taylor]: Taking taylor expansion of (* n PI) in n
29.504 * [taylor]: Taking taylor expansion of n in n
29.504 * [backup-simplify]: Simplify 0 into 0
29.504 * [backup-simplify]: Simplify 1 into 1
29.504 * [taylor]: Taking taylor expansion of PI in n
29.504 * [backup-simplify]: Simplify PI into PI
29.504 * [backup-simplify]: Simplify (* 0 PI) into 0
29.504 * [backup-simplify]: Simplify (* 2 0) into 0
29.505 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
29.506 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
29.507 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.507 * [backup-simplify]: Simplify (- k) into (- k)
29.507 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
29.507 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
29.508 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.508 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
29.509 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
29.509 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
29.509 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
29.509 * [taylor]: Taking taylor expansion of 1/4 in k
29.509 * [backup-simplify]: Simplify 1/4 into 1/4
29.509 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
29.509 * [taylor]: Taking taylor expansion of (- 1 k) in k
29.509 * [taylor]: Taking taylor expansion of 1 in k
29.509 * [backup-simplify]: Simplify 1 into 1
29.509 * [taylor]: Taking taylor expansion of k in k
29.509 * [backup-simplify]: Simplify 0 into 0
29.509 * [backup-simplify]: Simplify 1 into 1
29.509 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
29.509 * [taylor]: Taking taylor expansion of (log n) in k
29.509 * [taylor]: Taking taylor expansion of n in k
29.509 * [backup-simplify]: Simplify n into n
29.509 * [backup-simplify]: Simplify (log n) into (log n)
29.509 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
29.509 * [taylor]: Taking taylor expansion of (* 2 PI) in k
29.509 * [taylor]: Taking taylor expansion of 2 in k
29.509 * [backup-simplify]: Simplify 2 into 2
29.509 * [taylor]: Taking taylor expansion of PI in k
29.509 * [backup-simplify]: Simplify PI into PI
29.510 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.510 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.510 * [backup-simplify]: Simplify (- 0) into 0
29.511 * [backup-simplify]: Simplify (+ 1 0) into 1
29.511 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.512 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
29.513 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
29.513 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
29.514 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
29.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
29.515 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
29.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
29.520 * [backup-simplify]: Simplify (- 0) into 0
29.521 * [backup-simplify]: Simplify (+ 0 0) into 0
29.521 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
29.522 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.522 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
29.524 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
29.524 * [taylor]: Taking taylor expansion of 0 in k
29.524 * [backup-simplify]: Simplify 0 into 0
29.524 * [backup-simplify]: Simplify 0 into 0
29.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
29.525 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
29.527 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
29.527 * [backup-simplify]: Simplify (+ 0 0) into 0
29.528 * [backup-simplify]: Simplify (- 1) into -1
29.528 * [backup-simplify]: Simplify (+ 0 -1) into -1
29.529 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
29.532 * [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)))))
29.534 * [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)))))))
29.537 * [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)))))))
29.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
29.539 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
29.541 * [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
29.541 * [backup-simplify]: Simplify (- 0) into 0
29.542 * [backup-simplify]: Simplify (+ 0 0) into 0
29.542 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
29.543 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
29.544 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
29.545 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
29.545 * [taylor]: Taking taylor expansion of 0 in k
29.545 * [backup-simplify]: Simplify 0 into 0
29.545 * [backup-simplify]: Simplify 0 into 0
29.545 * [backup-simplify]: Simplify 0 into 0
29.546 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
29.547 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
29.549 * [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
29.549 * [backup-simplify]: Simplify (+ 0 0) into 0
29.549 * [backup-simplify]: Simplify (- 0) into 0
29.550 * [backup-simplify]: Simplify (+ 0 0) into 0
29.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
29.552 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
29.555 * [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)))))
29.557 * [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)))))
29.563 * [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)))))))
29.563 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
29.563 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
29.563 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
29.563 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
29.563 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
29.563 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
29.563 * [taylor]: Taking taylor expansion of 1/4 in k
29.563 * [backup-simplify]: Simplify 1/4 into 1/4
29.563 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
29.563 * [taylor]: Taking taylor expansion of 1 in k
29.563 * [backup-simplify]: Simplify 1 into 1
29.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.563 * [taylor]: Taking taylor expansion of k in k
29.563 * [backup-simplify]: Simplify 0 into 0
29.563 * [backup-simplify]: Simplify 1 into 1
29.564 * [backup-simplify]: Simplify (/ 1 1) into 1
29.564 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
29.564 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
29.564 * [taylor]: Taking taylor expansion of 2 in k
29.564 * [backup-simplify]: Simplify 2 into 2
29.564 * [taylor]: Taking taylor expansion of (/ PI n) in k
29.564 * [taylor]: Taking taylor expansion of PI in k
29.564 * [backup-simplify]: Simplify PI into PI
29.564 * [taylor]: Taking taylor expansion of n in k
29.564 * [backup-simplify]: Simplify n into n
29.564 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
29.564 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
29.564 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
29.564 * [backup-simplify]: Simplify (- 1) into -1
29.564 * [backup-simplify]: Simplify (+ 0 -1) into -1
29.565 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
29.565 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
29.565 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
29.565 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
29.565 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
29.565 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
29.565 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
29.565 * [taylor]: Taking taylor expansion of 1/4 in n
29.565 * [backup-simplify]: Simplify 1/4 into 1/4
29.565 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
29.565 * [taylor]: Taking taylor expansion of 1 in n
29.565 * [backup-simplify]: Simplify 1 into 1
29.565 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.565 * [taylor]: Taking taylor expansion of k in n
29.565 * [backup-simplify]: Simplify k into k
29.565 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.565 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
29.565 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.565 * [taylor]: Taking taylor expansion of 2 in n
29.565 * [backup-simplify]: Simplify 2 into 2
29.565 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.565 * [taylor]: Taking taylor expansion of PI in n
29.565 * [backup-simplify]: Simplify PI into PI
29.565 * [taylor]: Taking taylor expansion of n in n
29.565 * [backup-simplify]: Simplify 0 into 0
29.565 * [backup-simplify]: Simplify 1 into 1
29.565 * [backup-simplify]: Simplify (/ PI 1) into PI
29.566 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.566 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.566 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
29.566 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
29.566 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
29.567 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.568 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
29.569 * [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)))))
29.569 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
29.569 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
29.569 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
29.569 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
29.569 * [taylor]: Taking taylor expansion of 1/4 in n
29.569 * [backup-simplify]: Simplify 1/4 into 1/4
29.569 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
29.569 * [taylor]: Taking taylor expansion of 1 in n
29.569 * [backup-simplify]: Simplify 1 into 1
29.569 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.569 * [taylor]: Taking taylor expansion of k in n
29.569 * [backup-simplify]: Simplify k into k
29.569 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.569 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
29.569 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.569 * [taylor]: Taking taylor expansion of 2 in n
29.569 * [backup-simplify]: Simplify 2 into 2
29.569 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.569 * [taylor]: Taking taylor expansion of PI in n
29.569 * [backup-simplify]: Simplify PI into PI
29.569 * [taylor]: Taking taylor expansion of n in n
29.569 * [backup-simplify]: Simplify 0 into 0
29.569 * [backup-simplify]: Simplify 1 into 1
29.569 * [backup-simplify]: Simplify (/ PI 1) into PI
29.570 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.570 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.570 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
29.570 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
29.570 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
29.571 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.572 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
29.573 * [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)))))
29.573 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
29.573 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
29.573 * [taylor]: Taking taylor expansion of 1/4 in k
29.573 * [backup-simplify]: Simplify 1/4 into 1/4
29.573 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
29.573 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
29.573 * [taylor]: Taking taylor expansion of 1 in k
29.574 * [backup-simplify]: Simplify 1 into 1
29.574 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.574 * [taylor]: Taking taylor expansion of k in k
29.574 * [backup-simplify]: Simplify 0 into 0
29.574 * [backup-simplify]: Simplify 1 into 1
29.574 * [backup-simplify]: Simplify (/ 1 1) into 1
29.574 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
29.574 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
29.574 * [taylor]: Taking taylor expansion of (* 2 PI) in k
29.574 * [taylor]: Taking taylor expansion of 2 in k
29.574 * [backup-simplify]: Simplify 2 into 2
29.574 * [taylor]: Taking taylor expansion of PI in k
29.574 * [backup-simplify]: Simplify PI into PI
29.575 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.576 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
29.576 * [taylor]: Taking taylor expansion of (log n) in k
29.576 * [taylor]: Taking taylor expansion of n in k
29.576 * [backup-simplify]: Simplify n into n
29.576 * [backup-simplify]: Simplify (log n) into (log n)
29.576 * [backup-simplify]: Simplify (- 1) into -1
29.577 * [backup-simplify]: Simplify (+ 0 -1) into -1
29.577 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
29.578 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
29.579 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
29.580 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
29.581 * [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)))))
29.582 * [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)))))
29.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.584 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
29.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
29.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
29.585 * [backup-simplify]: Simplify (- 0) into 0
29.585 * [backup-simplify]: Simplify (+ 0 0) into 0
29.586 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
29.586 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.587 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
29.588 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
29.589 * [taylor]: Taking taylor expansion of 0 in k
29.589 * [backup-simplify]: Simplify 0 into 0
29.589 * [backup-simplify]: Simplify 0 into 0
29.589 * [backup-simplify]: Simplify 0 into 0
29.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.590 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
29.591 * [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
29.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.592 * [backup-simplify]: Simplify (- 0) into 0
29.592 * [backup-simplify]: Simplify (+ 0 0) into 0
29.593 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
29.593 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.594 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
29.596 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
29.596 * [taylor]: Taking taylor expansion of 0 in k
29.596 * [backup-simplify]: Simplify 0 into 0
29.596 * [backup-simplify]: Simplify 0 into 0
29.596 * [backup-simplify]: Simplify 0 into 0
29.596 * [backup-simplify]: Simplify 0 into 0
29.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.597 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.601 * [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
29.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.601 * [backup-simplify]: Simplify (- 0) into 0
29.601 * [backup-simplify]: Simplify (+ 0 0) into 0
29.602 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
29.603 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
29.604 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
29.606 * [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
29.606 * [taylor]: Taking taylor expansion of 0 in k
29.606 * [backup-simplify]: Simplify 0 into 0
29.606 * [backup-simplify]: Simplify 0 into 0
29.607 * [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))))))
29.607 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
29.607 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
29.607 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
29.607 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
29.607 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
29.607 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
29.607 * [taylor]: Taking taylor expansion of 1/4 in k
29.607 * [backup-simplify]: Simplify 1/4 into 1/4
29.607 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
29.607 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.607 * [taylor]: Taking taylor expansion of k in k
29.607 * [backup-simplify]: Simplify 0 into 0
29.607 * [backup-simplify]: Simplify 1 into 1
29.608 * [backup-simplify]: Simplify (/ 1 1) into 1
29.608 * [taylor]: Taking taylor expansion of 1 in k
29.608 * [backup-simplify]: Simplify 1 into 1
29.608 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
29.608 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
29.608 * [taylor]: Taking taylor expansion of -2 in k
29.608 * [backup-simplify]: Simplify -2 into -2
29.608 * [taylor]: Taking taylor expansion of (/ PI n) in k
29.608 * [taylor]: Taking taylor expansion of PI in k
29.608 * [backup-simplify]: Simplify PI into PI
29.608 * [taylor]: Taking taylor expansion of n in k
29.608 * [backup-simplify]: Simplify n into n
29.608 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
29.608 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
29.608 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
29.608 * [backup-simplify]: Simplify (+ 1 0) into 1
29.609 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
29.609 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
29.609 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
29.609 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
29.609 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
29.609 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
29.609 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
29.609 * [taylor]: Taking taylor expansion of 1/4 in n
29.609 * [backup-simplify]: Simplify 1/4 into 1/4
29.609 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
29.609 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.609 * [taylor]: Taking taylor expansion of k in n
29.609 * [backup-simplify]: Simplify k into k
29.609 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.609 * [taylor]: Taking taylor expansion of 1 in n
29.609 * [backup-simplify]: Simplify 1 into 1
29.609 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
29.609 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.609 * [taylor]: Taking taylor expansion of -2 in n
29.609 * [backup-simplify]: Simplify -2 into -2
29.609 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.609 * [taylor]: Taking taylor expansion of PI in n
29.609 * [backup-simplify]: Simplify PI into PI
29.609 * [taylor]: Taking taylor expansion of n in n
29.609 * [backup-simplify]: Simplify 0 into 0
29.609 * [backup-simplify]: Simplify 1 into 1
29.609 * [backup-simplify]: Simplify (/ PI 1) into PI
29.610 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.610 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
29.610 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
29.610 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
29.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.612 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
29.612 * [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)))))
29.613 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
29.613 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
29.613 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
29.613 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
29.613 * [taylor]: Taking taylor expansion of 1/4 in n
29.613 * [backup-simplify]: Simplify 1/4 into 1/4
29.613 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
29.613 * [taylor]: Taking taylor expansion of (/ 1 k) in n
29.613 * [taylor]: Taking taylor expansion of k in n
29.613 * [backup-simplify]: Simplify k into k
29.613 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
29.613 * [taylor]: Taking taylor expansion of 1 in n
29.613 * [backup-simplify]: Simplify 1 into 1
29.613 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
29.613 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.613 * [taylor]: Taking taylor expansion of -2 in n
29.613 * [backup-simplify]: Simplify -2 into -2
29.613 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.613 * [taylor]: Taking taylor expansion of PI in n
29.613 * [backup-simplify]: Simplify PI into PI
29.613 * [taylor]: Taking taylor expansion of n in n
29.613 * [backup-simplify]: Simplify 0 into 0
29.613 * [backup-simplify]: Simplify 1 into 1
29.613 * [backup-simplify]: Simplify (/ PI 1) into PI
29.613 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.619 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
29.620 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
29.620 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
29.621 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.622 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
29.623 * [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)))))
29.624 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
29.624 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
29.624 * [taylor]: Taking taylor expansion of 1/4 in k
29.624 * [backup-simplify]: Simplify 1/4 into 1/4
29.624 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
29.624 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
29.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k
29.624 * [taylor]: Taking taylor expansion of k in k
29.624 * [backup-simplify]: Simplify 0 into 0
29.624 * [backup-simplify]: Simplify 1 into 1
29.624 * [backup-simplify]: Simplify (/ 1 1) into 1
29.624 * [taylor]: Taking taylor expansion of 1 in k
29.624 * [backup-simplify]: Simplify 1 into 1
29.624 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
29.624 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
29.624 * [taylor]: Taking taylor expansion of (* -2 PI) in k
29.624 * [taylor]: Taking taylor expansion of -2 in k
29.624 * [backup-simplify]: Simplify -2 into -2
29.624 * [taylor]: Taking taylor expansion of PI in k
29.625 * [backup-simplify]: Simplify PI into PI
29.625 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.626 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
29.626 * [taylor]: Taking taylor expansion of (log n) in k
29.626 * [taylor]: Taking taylor expansion of n in k
29.626 * [backup-simplify]: Simplify n into n
29.626 * [backup-simplify]: Simplify (log n) into (log n)
29.627 * [backup-simplify]: Simplify (+ 1 0) into 1
29.627 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
29.628 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
29.629 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
29.630 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
29.631 * [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)))))
29.632 * [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)))))
29.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.633 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
29.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
29.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
29.634 * [backup-simplify]: Simplify (+ 0 0) into 0
29.635 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
29.636 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.636 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
29.637 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
29.637 * [taylor]: Taking taylor expansion of 0 in k
29.637 * [backup-simplify]: Simplify 0 into 0
29.638 * [backup-simplify]: Simplify 0 into 0
29.638 * [backup-simplify]: Simplify 0 into 0
29.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.639 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
29.641 * [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
29.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.641 * [backup-simplify]: Simplify (+ 0 0) into 0
29.642 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
29.643 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.644 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
29.646 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
29.646 * [taylor]: Taking taylor expansion of 0 in k
29.646 * [backup-simplify]: Simplify 0 into 0
29.646 * [backup-simplify]: Simplify 0 into 0
29.646 * [backup-simplify]: Simplify 0 into 0
29.646 * [backup-simplify]: Simplify 0 into 0
29.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.647 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.651 * [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
29.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
29.651 * [backup-simplify]: Simplify (+ 0 0) into 0
29.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
29.653 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
29.654 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
29.656 * [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
29.656 * [taylor]: Taking taylor expansion of 0 in k
29.656 * [backup-simplify]: Simplify 0 into 0
29.656 * [backup-simplify]: Simplify 0 into 0
29.656 * [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))))))
29.657 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1)
29.657 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
29.657 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
29.657 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.657 * [taylor]: Taking taylor expansion of 2 in n
29.657 * [backup-simplify]: Simplify 2 into 2
29.657 * [taylor]: Taking taylor expansion of (* n PI) in n
29.657 * [taylor]: Taking taylor expansion of n in n
29.657 * [backup-simplify]: Simplify 0 into 0
29.657 * [backup-simplify]: Simplify 1 into 1
29.657 * [taylor]: Taking taylor expansion of PI in n
29.657 * [backup-simplify]: Simplify PI into PI
29.657 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.657 * [taylor]: Taking taylor expansion of 2 in n
29.657 * [backup-simplify]: Simplify 2 into 2
29.657 * [taylor]: Taking taylor expansion of (* n PI) in n
29.657 * [taylor]: Taking taylor expansion of n in n
29.657 * [backup-simplify]: Simplify 0 into 0
29.657 * [backup-simplify]: Simplify 1 into 1
29.657 * [taylor]: Taking taylor expansion of PI in n
29.657 * [backup-simplify]: Simplify PI into PI
29.657 * [backup-simplify]: Simplify (* 0 PI) into 0
29.658 * [backup-simplify]: Simplify (* 2 0) into 0
29.658 * [backup-simplify]: Simplify 0 into 0
29.659 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
29.660 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
29.660 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
29.662 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
29.662 * [backup-simplify]: Simplify 0 into 0
29.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
29.664 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
29.664 * [backup-simplify]: Simplify 0 into 0
29.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.667 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
29.667 * [backup-simplify]: Simplify 0 into 0
29.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
29.670 * [backup-simplify]: Simplify 0 into 0
29.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.673 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
29.673 * [backup-simplify]: Simplify 0 into 0
29.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
29.677 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
29.677 * [backup-simplify]: Simplify 0 into 0
29.678 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
29.678 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
29.678 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
29.678 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.678 * [taylor]: Taking taylor expansion of 2 in n
29.678 * [backup-simplify]: Simplify 2 into 2
29.678 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.678 * [taylor]: Taking taylor expansion of PI in n
29.679 * [backup-simplify]: Simplify PI into PI
29.679 * [taylor]: Taking taylor expansion of n in n
29.679 * [backup-simplify]: Simplify 0 into 0
29.679 * [backup-simplify]: Simplify 1 into 1
29.679 * [backup-simplify]: Simplify (/ PI 1) into PI
29.679 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.679 * [taylor]: Taking taylor expansion of 2 in n
29.679 * [backup-simplify]: Simplify 2 into 2
29.679 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.679 * [taylor]: Taking taylor expansion of PI in n
29.679 * [backup-simplify]: Simplify PI into PI
29.679 * [taylor]: Taking taylor expansion of n in n
29.679 * [backup-simplify]: Simplify 0 into 0
29.679 * [backup-simplify]: Simplify 1 into 1
29.680 * [backup-simplify]: Simplify (/ PI 1) into PI
29.680 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.681 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.683 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
29.683 * [backup-simplify]: Simplify 0 into 0
29.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.685 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
29.685 * [backup-simplify]: Simplify 0 into 0
29.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.687 * [backup-simplify]: Simplify 0 into 0
29.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.689 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.689 * [backup-simplify]: Simplify 0 into 0
29.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.692 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.692 * [backup-simplify]: Simplify 0 into 0
29.693 * [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
29.695 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.695 * [backup-simplify]: Simplify 0 into 0
29.695 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
29.696 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
29.696 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
29.696 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.696 * [taylor]: Taking taylor expansion of -2 in n
29.696 * [backup-simplify]: Simplify -2 into -2
29.696 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.696 * [taylor]: Taking taylor expansion of PI in n
29.696 * [backup-simplify]: Simplify PI into PI
29.696 * [taylor]: Taking taylor expansion of n in n
29.696 * [backup-simplify]: Simplify 0 into 0
29.696 * [backup-simplify]: Simplify 1 into 1
29.696 * [backup-simplify]: Simplify (/ PI 1) into PI
29.696 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.696 * [taylor]: Taking taylor expansion of -2 in n
29.696 * [backup-simplify]: Simplify -2 into -2
29.696 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.696 * [taylor]: Taking taylor expansion of PI in n
29.696 * [backup-simplify]: Simplify PI into PI
29.696 * [taylor]: Taking taylor expansion of n in n
29.696 * [backup-simplify]: Simplify 0 into 0
29.696 * [backup-simplify]: Simplify 1 into 1
29.697 * [backup-simplify]: Simplify (/ PI 1) into PI
29.697 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.697 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.698 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
29.698 * [backup-simplify]: Simplify 0 into 0
29.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.699 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
29.699 * [backup-simplify]: Simplify 0 into 0
29.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.701 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.701 * [backup-simplify]: Simplify 0 into 0
29.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.702 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.702 * [backup-simplify]: Simplify 0 into 0
29.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.703 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.703 * [backup-simplify]: Simplify 0 into 0
29.704 * [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
29.705 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.705 * [backup-simplify]: Simplify 0 into 0
29.705 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
29.705 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
29.706 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
29.706 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
29.706 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.706 * [taylor]: Taking taylor expansion of 2 in n
29.706 * [backup-simplify]: Simplify 2 into 2
29.706 * [taylor]: Taking taylor expansion of (* n PI) in n
29.706 * [taylor]: Taking taylor expansion of n in n
29.706 * [backup-simplify]: Simplify 0 into 0
29.706 * [backup-simplify]: Simplify 1 into 1
29.706 * [taylor]: Taking taylor expansion of PI in n
29.706 * [backup-simplify]: Simplify PI into PI
29.706 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.706 * [taylor]: Taking taylor expansion of 2 in n
29.706 * [backup-simplify]: Simplify 2 into 2
29.706 * [taylor]: Taking taylor expansion of (* n PI) in n
29.706 * [taylor]: Taking taylor expansion of n in n
29.706 * [backup-simplify]: Simplify 0 into 0
29.706 * [backup-simplify]: Simplify 1 into 1
29.706 * [taylor]: Taking taylor expansion of PI in n
29.706 * [backup-simplify]: Simplify PI into PI
29.706 * [backup-simplify]: Simplify (* 0 PI) into 0
29.707 * [backup-simplify]: Simplify (* 2 0) into 0
29.707 * [backup-simplify]: Simplify 0 into 0
29.708 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
29.708 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
29.709 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
29.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
29.710 * [backup-simplify]: Simplify 0 into 0
29.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
29.711 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
29.711 * [backup-simplify]: Simplify 0 into 0
29.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
29.713 * [backup-simplify]: Simplify 0 into 0
29.713 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.714 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
29.714 * [backup-simplify]: Simplify 0 into 0
29.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.716 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
29.716 * [backup-simplify]: Simplify 0 into 0
29.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
29.718 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
29.719 * [backup-simplify]: Simplify 0 into 0
29.719 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
29.719 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
29.719 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
29.719 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.719 * [taylor]: Taking taylor expansion of 2 in n
29.719 * [backup-simplify]: Simplify 2 into 2
29.719 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.719 * [taylor]: Taking taylor expansion of PI in n
29.719 * [backup-simplify]: Simplify PI into PI
29.719 * [taylor]: Taking taylor expansion of n in n
29.719 * [backup-simplify]: Simplify 0 into 0
29.719 * [backup-simplify]: Simplify 1 into 1
29.720 * [backup-simplify]: Simplify (/ PI 1) into PI
29.720 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.720 * [taylor]: Taking taylor expansion of 2 in n
29.720 * [backup-simplify]: Simplify 2 into 2
29.720 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.720 * [taylor]: Taking taylor expansion of PI in n
29.720 * [backup-simplify]: Simplify PI into PI
29.720 * [taylor]: Taking taylor expansion of n in n
29.720 * [backup-simplify]: Simplify 0 into 0
29.720 * [backup-simplify]: Simplify 1 into 1
29.720 * [backup-simplify]: Simplify (/ PI 1) into PI
29.720 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.721 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.722 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
29.722 * [backup-simplify]: Simplify 0 into 0
29.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
29.723 * [backup-simplify]: Simplify 0 into 0
29.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.724 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.725 * [backup-simplify]: Simplify 0 into 0
29.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.733 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.733 * [backup-simplify]: Simplify 0 into 0
29.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.736 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.736 * [backup-simplify]: Simplify 0 into 0
29.737 * [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
29.738 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.739 * [backup-simplify]: Simplify 0 into 0
29.739 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
29.740 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
29.740 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
29.740 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.740 * [taylor]: Taking taylor expansion of -2 in n
29.740 * [backup-simplify]: Simplify -2 into -2
29.740 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.740 * [taylor]: Taking taylor expansion of PI in n
29.740 * [backup-simplify]: Simplify PI into PI
29.740 * [taylor]: Taking taylor expansion of n in n
29.740 * [backup-simplify]: Simplify 0 into 0
29.740 * [backup-simplify]: Simplify 1 into 1
29.740 * [backup-simplify]: Simplify (/ PI 1) into PI
29.741 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.741 * [taylor]: Taking taylor expansion of -2 in n
29.741 * [backup-simplify]: Simplify -2 into -2
29.741 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.741 * [taylor]: Taking taylor expansion of PI in n
29.741 * [backup-simplify]: Simplify PI into PI
29.741 * [taylor]: Taking taylor expansion of n in n
29.741 * [backup-simplify]: Simplify 0 into 0
29.741 * [backup-simplify]: Simplify 1 into 1
29.741 * [backup-simplify]: Simplify (/ PI 1) into PI
29.742 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.742 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.744 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
29.744 * [backup-simplify]: Simplify 0 into 0
29.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.746 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
29.746 * [backup-simplify]: Simplify 0 into 0
29.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.748 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.748 * [backup-simplify]: Simplify 0 into 0
29.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.751 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.751 * [backup-simplify]: Simplify 0 into 0
29.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.753 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.754 * [backup-simplify]: Simplify 0 into 0
29.755 * [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
29.756 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.756 * [backup-simplify]: Simplify 0 into 0
29.757 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
29.757 * * * [progress]: simplifying candidates
29.757 * * * * [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))))) (sqrt k)))>
29.757 * * * * [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))))) (sqrt k)))>
29.757 * * * * [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)))) (sqrt k)))>
29.758 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
29.758 * * [simplify]: iters left: 6 (14 enodes)
29.767 * * [simplify]: iters left: 5 (60 enodes)
29.784 * * [simplify]: iters left: 4 (108 enodes)
29.809 * * [simplify]: iters left: 3 (255 enodes)
29.889 * * [simplify]: Extracting #0: cost 1 inf + 0
29.889 * * [simplify]: Extracting #1: cost 34 inf + 0
29.890 * * [simplify]: Extracting #2: cost 122 inf + 73
29.890 * * [simplify]: Extracting #3: cost 134 inf + 2876
29.893 * * [simplify]: Extracting #4: cost 49 inf + 20493
29.903 * * [simplify]: Extracting #5: cost 4 inf + 30853
29.917 * * [simplify]: Extracting #6: cost 0 inf + 31808
29.933 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))
29.933 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI))))))) (sqrt k)))
29.933 * * * * [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)))) (sqrt k)))>
29.933 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
29.933 * * [simplify]: iters left: 6 (13 enodes)
29.938 * * [simplify]: iters left: 5 (58 enodes)
29.948 * * [simplify]: iters left: 4 (101 enodes)
29.966 * * [simplify]: iters left: 3 (211 enodes)
30.047 * * [simplify]: Extracting #0: cost 1 inf + 0
30.047 * * [simplify]: Extracting #1: cost 28 inf + 0
30.047 * * [simplify]: Extracting #2: cost 110 inf + 73
30.048 * * [simplify]: Extracting #3: cost 127 inf + 1744
30.049 * * [simplify]: Extracting #4: cost 73 inf + 10230
30.053 * * [simplify]: Extracting #5: cost 26 inf + 20266
30.058 * * [simplify]: Extracting #6: cost 6 inf + 24692
30.063 * * [simplify]: Extracting #7: cost 0 inf + 26084
30.071 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))
30.071 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))))) (sqrt k)))
30.071 * * * * [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)))) (sqrt k)))>
30.072 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
30.072 * * [simplify]: iters left: 6 (12 enodes)
30.079 * * [simplify]: iters left: 5 (57 enodes)
30.099 * * [simplify]: iters left: 4 (111 enodes)
30.122 * * [simplify]: iters left: 3 (214 enodes)
30.184 * * [simplify]: iters left: 2 (472 enodes)
30.361 * * [simplify]: Extracting #0: cost 1 inf + 0
30.361 * * [simplify]: Extracting #1: cost 40 inf + 0
30.362 * * [simplify]: Extracting #2: cost 158 inf + 4
30.363 * * [simplify]: Extracting #3: cost 193 inf + 1443
30.368 * * [simplify]: Extracting #4: cost 88 inf + 19136
30.382 * * [simplify]: Extracting #5: cost 7 inf + 36795
30.400 * * [simplify]: Extracting #6: cost 0 inf + 38243
30.423 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
30.424 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4))) (sqrt k)))
30.424 * * * * [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)))) (sqrt k)))>
30.424 * * * * [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)))) (sqrt k)))>
30.424 * [simplify]: Simplifying (* n (* 2 PI))
30.424 * * [simplify]: iters left: 4 (5 enodes)
30.427 * * [simplify]: iters left: 3 (19 enodes)
30.432 * * [simplify]: iters left: 2 (27 enodes)
30.439 * * [simplify]: iters left: 1 (32 enodes)
30.446 * * [simplify]: Extracting #0: cost 1 inf + 0
30.446 * * [simplify]: Extracting #1: cost 8 inf + 0
30.446 * * [simplify]: Extracting #2: cost 7 inf + 45
30.447 * * [simplify]: Extracting #3: cost 0 inf + 421
30.447 * [simplify]: Simplified to (* (* PI 2) n)
30.447 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (sqrt k)))
30.447 * * * * [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)))) (sqrt k)))>
30.447 * [simplify]: Simplifying (* n (* 2 PI))
30.447 * * [simplify]: iters left: 4 (5 enodes)
30.450 * * [simplify]: iters left: 3 (19 enodes)
30.455 * * [simplify]: iters left: 2 (27 enodes)
30.462 * * [simplify]: iters left: 1 (32 enodes)
30.469 * * [simplify]: Extracting #0: cost 1 inf + 0
30.469 * * [simplify]: Extracting #1: cost 8 inf + 0
30.469 * * [simplify]: Extracting #2: cost 7 inf + 45
30.470 * * [simplify]: Extracting #3: cost 0 inf + 421
30.470 * [simplify]: Simplified to (* (* PI 2) n)
30.470 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (sqrt k)))
30.470 * * * * [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)))) (sqrt k)))>
30.470 * [simplify]: Simplifying (* n (* 2 PI))
30.470 * * [simplify]: iters left: 4 (5 enodes)
30.473 * * [simplify]: iters left: 3 (19 enodes)
30.478 * * [simplify]: iters left: 2 (27 enodes)
30.485 * * [simplify]: iters left: 1 (32 enodes)
30.492 * * [simplify]: Extracting #0: cost 1 inf + 0
30.492 * * [simplify]: Extracting #1: cost 8 inf + 0
30.492 * * [simplify]: Extracting #2: cost 7 inf + 45
30.493 * * [simplify]: Extracting #3: cost 0 inf + 421
30.493 * [simplify]: Simplified to (* (* PI 2) n)
30.493 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))) (sqrt k)))
30.493 * * * * [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)))) (sqrt k)))>
30.493 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
30.493 * * [simplify]: iters left: 5 (9 enodes)
30.498 * * [simplify]: iters left: 4 (37 enodes)
30.508 * * [simplify]: iters left: 3 (57 enodes)
30.527 * * [simplify]: iters left: 2 (93 enodes)
30.560 * * [simplify]: iters left: 1 (170 enodes)
30.606 * * [simplify]: Extracting #0: cost 1 inf + 0
30.606 * * [simplify]: Extracting #1: cost 13 inf + 0
30.607 * * [simplify]: Extracting #2: cost 59 inf + 1
30.607 * * [simplify]: Extracting #3: cost 78 inf + 176
30.608 * * [simplify]: Extracting #4: cost 40 inf + 3875
30.610 * * [simplify]: Extracting #5: cost 7 inf + 16988
30.613 * * [simplify]: Extracting #6: cost 0 inf + 20577
30.616 * * [simplify]: Extracting #7: cost 0 inf + 20336
30.622 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
30.622 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
30.622 * * * * [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)))) (sqrt k)))>
30.623 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
30.623 * * [simplify]: iters left: 6 (7 enodes)
30.628 * * [simplify]: iters left: 5 (32 enodes)
30.639 * * [simplify]: iters left: 4 (47 enodes)
30.649 * * [simplify]: iters left: 3 (53 enodes)
30.660 * * [simplify]: iters left: 2 (60 enodes)
30.669 * * [simplify]: Extracting #0: cost 1 inf + 0
30.670 * * [simplify]: Extracting #1: cost 3 inf + 0
30.670 * * [simplify]: Extracting #2: cost 11 inf + 0
30.670 * * [simplify]: Extracting #3: cost 17 inf + 3
30.670 * * [simplify]: Extracting #4: cost 14 inf + 129
30.670 * * [simplify]: Extracting #5: cost 3 inf + 794
30.671 * * [simplify]: Extracting #6: cost 0 inf + 1162
30.671 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
30.672 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
30.672 * * * * [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)))) (sqrt k)))>
30.672 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
30.672 * * [simplify]: iters left: 6 (7 enodes)
30.677 * * [simplify]: iters left: 5 (32 enodes)
30.688 * * [simplify]: iters left: 4 (47 enodes)
30.700 * * [simplify]: iters left: 3 (53 enodes)
30.708 * * [simplify]: iters left: 2 (60 enodes)
30.718 * * [simplify]: Extracting #0: cost 1 inf + 0
30.718 * * [simplify]: Extracting #1: cost 3 inf + 0
30.718 * * [simplify]: Extracting #2: cost 11 inf + 0
30.718 * * [simplify]: Extracting #3: cost 17 inf + 3
30.718 * * [simplify]: Extracting #4: cost 14 inf + 129
30.718 * * [simplify]: Extracting #5: cost 3 inf + 794
30.718 * * [simplify]: Extracting #6: cost 0 inf + 1082
30.719 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
30.719 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
30.719 * * * * [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)))) (sqrt k)))>
30.719 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
30.719 * * [simplify]: iters left: 6 (8 enodes)
30.722 * * [simplify]: iters left: 5 (32 enodes)
30.730 * * [simplify]: iters left: 4 (41 enodes)
30.738 * * [simplify]: Extracting #0: cost 1 inf + 0
30.738 * * [simplify]: Extracting #1: cost 4 inf + 0
30.738 * * [simplify]: Extracting #2: cost 8 inf + 0
30.738 * * [simplify]: Extracting #3: cost 9 inf + 163
30.738 * * [simplify]: Extracting #4: cost 13 inf + 164
30.738 * * [simplify]: Extracting #5: cost 10 inf + 249
30.738 * * [simplify]: Extracting #6: cost 3 inf + 986
30.738 * * [simplify]: Extracting #7: cost 0 inf + 1474
30.738 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
30.739 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
30.739 * * * * [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)))) (sqrt k)))>
30.739 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
30.739 * * [simplify]: iters left: 6 (8 enodes)
30.742 * * [simplify]: iters left: 5 (32 enodes)
30.748 * * [simplify]: iters left: 4 (41 enodes)
30.756 * * [simplify]: Extracting #0: cost 1 inf + 0
30.756 * * [simplify]: Extracting #1: cost 4 inf + 0
30.756 * * [simplify]: Extracting #2: cost 8 inf + 0
30.757 * * [simplify]: Extracting #3: cost 9 inf + 83
30.757 * * [simplify]: Extracting #4: cost 13 inf + 84
30.757 * * [simplify]: Extracting #5: cost 10 inf + 169
30.757 * * [simplify]: Extracting #6: cost 3 inf + 866
30.757 * * [simplify]: Extracting #7: cost 0 inf + 1314
30.757 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
30.757 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
30.758 * * * * [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))) (sqrt k)))>
30.758 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
30.758 * * [simplify]: iters left: 6 (7 enodes)
30.761 * * [simplify]: iters left: 5 (29 enodes)
30.770 * * [simplify]: iters left: 4 (38 enodes)
30.782 * * [simplify]: Extracting #0: cost 1 inf + 0
30.782 * * [simplify]: Extracting #1: cost 4 inf + 0
30.782 * * [simplify]: Extracting #2: cost 5 inf + 1
30.782 * * [simplify]: Extracting #3: cost 9 inf + 1
30.782 * * [simplify]: Extracting #4: cost 13 inf + 2
30.782 * * [simplify]: Extracting #5: cost 12 inf + 4
30.782 * * [simplify]: Extracting #6: cost 2 inf + 746
30.783 * * [simplify]: Extracting #7: cost 0 inf + 1152
30.783 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
30.783 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
30.783 * * * * [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)))) (sqrt k)))>
30.784 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
30.784 * * [simplify]: iters left: 6 (8 enodes)
30.789 * * [simplify]: iters left: 5 (32 enodes)
30.799 * * [simplify]: iters left: 4 (41 enodes)
30.811 * * [simplify]: Extracting #0: cost 1 inf + 0
30.811 * * [simplify]: Extracting #1: cost 4 inf + 0
30.811 * * [simplify]: Extracting #2: cost 8 inf + 0
30.812 * * [simplify]: Extracting #3: cost 9 inf + 163
30.812 * * [simplify]: Extracting #4: cost 13 inf + 164
30.812 * * [simplify]: Extracting #5: cost 10 inf + 249
30.812 * * [simplify]: Extracting #6: cost 3 inf + 906
30.813 * * [simplify]: Extracting #7: cost 0 inf + 1314
30.813 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
30.813 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
30.813 * * * * [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)))) (sqrt k)))>
30.814 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
30.814 * * [simplify]: iters left: 6 (8 enodes)
30.818 * * [simplify]: iters left: 5 (32 enodes)
30.824 * * [simplify]: iters left: 4 (41 enodes)
30.831 * * [simplify]: Extracting #0: cost 1 inf + 0
30.831 * * [simplify]: Extracting #1: cost 4 inf + 0
30.831 * * [simplify]: Extracting #2: cost 8 inf + 0
30.831 * * [simplify]: Extracting #3: cost 9 inf + 83
30.831 * * [simplify]: Extracting #4: cost 13 inf + 84
30.831 * * [simplify]: Extracting #5: cost 10 inf + 169
30.831 * * [simplify]: Extracting #6: cost 3 inf + 786
30.831 * * [simplify]: Extracting #7: cost 0 inf + 1154
30.832 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
30.832 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
30.832 * * * * [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))) (sqrt k)))>
30.832 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
30.832 * * [simplify]: iters left: 6 (7 enodes)
30.835 * * [simplify]: iters left: 5 (29 enodes)
30.840 * * [simplify]: iters left: 4 (38 enodes)
30.846 * * [simplify]: Extracting #0: cost 1 inf + 0
30.846 * * [simplify]: Extracting #1: cost 4 inf + 0
30.846 * * [simplify]: Extracting #2: cost 5 inf + 1
30.846 * * [simplify]: Extracting #3: cost 9 inf + 1
30.846 * * [simplify]: Extracting #4: cost 13 inf + 2
30.846 * * [simplify]: Extracting #5: cost 12 inf + 4
30.846 * * [simplify]: Extracting #6: cost 2 inf + 666
30.846 * * [simplify]: Extracting #7: cost 0 inf + 992
30.846 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
30.846 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
30.847 * * * * [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)))) (sqrt k)))>
30.847 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
30.847 * * [simplify]: iters left: 6 (8 enodes)
30.850 * * [simplify]: iters left: 5 (30 enodes)
30.857 * * [simplify]: iters left: 4 (37 enodes)
30.868 * * [simplify]: Extracting #0: cost 1 inf + 0
30.868 * * [simplify]: Extracting #1: cost 6 inf + 0
30.868 * * [simplify]: Extracting #2: cost 12 inf + 0
30.868 * * [simplify]: Extracting #3: cost 11 inf + 405
30.869 * * [simplify]: Extracting #4: cost 10 inf + 407
30.869 * * [simplify]: Extracting #5: cost 4 inf + 1220
30.869 * * [simplify]: Extracting #6: cost 0 inf + 1869
30.870 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
30.870 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
30.870 * * * * [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)))) (sqrt k)))>
30.871 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
30.871 * * [simplify]: iters left: 6 (9 enodes)
30.879 * * [simplify]: iters left: 5 (33 enodes)
30.891 * * [simplify]: iters left: 4 (43 enodes)
30.898 * * [simplify]: iters left: 3 (45 enodes)
30.905 * * [simplify]: Extracting #0: cost 1 inf + 0
30.905 * * [simplify]: Extracting #1: cost 8 inf + 0
30.905 * * [simplify]: Extracting #2: cost 16 inf + 0
30.905 * * [simplify]: Extracting #3: cost 16 inf + 284
30.905 * * [simplify]: Extracting #4: cost 11 inf + 610
30.905 * * [simplify]: Extracting #5: cost 8 inf + 815
30.906 * * [simplify]: Extracting #6: cost 0 inf + 2517
30.906 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
30.906 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
30.906 * * * * [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))) (sqrt k)))>
30.907 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
30.907 * * [simplify]: iters left: 6 (8 enodes)
30.909 * * [simplify]: iters left: 5 (30 enodes)
30.914 * * [simplify]: iters left: 4 (40 enodes)
30.921 * * [simplify]: iters left: 3 (42 enodes)
30.931 * * [simplify]: Extracting #0: cost 1 inf + 0
30.931 * * [simplify]: Extracting #1: cost 8 inf + 0
30.931 * * [simplify]: Extracting #2: cost 12 inf + 82
30.931 * * [simplify]: Extracting #3: cost 13 inf + 405
30.932 * * [simplify]: Extracting #4: cost 12 inf + 407
30.932 * * [simplify]: Extracting #5: cost 5 inf + 1383
30.932 * * [simplify]: Extracting #6: cost 0 inf + 2195
30.933 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
30.933 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
30.933 * * * * [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)))) (sqrt k)))>
30.934 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
30.934 * * [simplify]: iters left: 6 (9 enodes)
30.939 * * [simplify]: iters left: 5 (33 enodes)
30.947 * * [simplify]: iters left: 4 (43 enodes)
30.954 * * [simplify]: iters left: 3 (45 enodes)
30.961 * * [simplify]: Extracting #0: cost 1 inf + 0
30.961 * * [simplify]: Extracting #1: cost 8 inf + 0
30.961 * * [simplify]: Extracting #2: cost 16 inf + 0
30.961 * * [simplify]: Extracting #3: cost 16 inf + 284
30.961 * * [simplify]: Extracting #4: cost 11 inf + 610
30.961 * * [simplify]: Extracting #5: cost 8 inf + 815
30.961 * * [simplify]: Extracting #6: cost 0 inf + 2517
30.962 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
30.962 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
30.962 * * * * [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)))) (sqrt k)))>
30.962 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
30.962 * * [simplify]: iters left: 6 (8 enodes)
30.965 * * [simplify]: iters left: 5 (30 enodes)
30.970 * * [simplify]: iters left: 4 (35 enodes)
30.978 * * [simplify]: Extracting #0: cost 1 inf + 0
30.978 * * [simplify]: Extracting #1: cost 6 inf + 0
30.978 * * [simplify]: Extracting #2: cost 8 inf + 42
30.978 * * [simplify]: Extracting #3: cost 11 inf + 83
30.979 * * [simplify]: Extracting #4: cost 10 inf + 85
30.979 * * [simplify]: Extracting #5: cost 4 inf + 658
30.979 * * [simplify]: Extracting #6: cost 0 inf + 1227
30.980 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
30.980 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
30.980 * * * * [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))) (sqrt k)))>
30.980 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
30.980 * * [simplify]: iters left: 6 (8 enodes)
30.985 * * [simplify]: iters left: 5 (30 enodes)
30.996 * * [simplify]: iters left: 4 (40 enodes)
31.009 * * [simplify]: iters left: 3 (42 enodes)
31.021 * * [simplify]: Extracting #0: cost 1 inf + 0
31.022 * * [simplify]: Extracting #1: cost 8 inf + 0
31.022 * * [simplify]: Extracting #2: cost 12 inf + 42
31.022 * * [simplify]: Extracting #3: cost 13 inf + 245
31.022 * * [simplify]: Extracting #4: cost 12 inf + 247
31.022 * * [simplify]: Extracting #5: cost 5 inf + 1143
31.023 * * [simplify]: Extracting #6: cost 0 inf + 1875
31.024 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
31.024 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
31.024 * * * * [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)))) (sqrt k)))>
31.025 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
31.025 * * [simplify]: iters left: 6 (8 enodes)
31.030 * * [simplify]: iters left: 5 (30 enodes)
31.040 * * [simplify]: iters left: 4 (40 enodes)
31.053 * * [simplify]: iters left: 3 (42 enodes)
31.065 * * [simplify]: Extracting #0: cost 1 inf + 0
31.066 * * [simplify]: Extracting #1: cost 8 inf + 0
31.066 * * [simplify]: Extracting #2: cost 11 inf + 203
31.066 * * [simplify]: Extracting #3: cost 13 inf + 405
31.066 * * [simplify]: Extracting #4: cost 12 inf + 407
31.066 * * [simplify]: Extracting #5: cost 3 inf + 1789
31.067 * * [simplify]: Extracting #6: cost 0 inf + 2195
31.068 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
31.068 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
31.068 * * * * [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)))) (sqrt k)))>
31.068 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
31.068 * * [simplify]: iters left: 6 (8 enodes)
31.073 * * [simplify]: iters left: 5 (30 enodes)
31.083 * * [simplify]: iters left: 4 (40 enodes)
31.094 * * [simplify]: iters left: 3 (42 enodes)
31.101 * * [simplify]: Extracting #0: cost 1 inf + 0
31.101 * * [simplify]: Extracting #1: cost 8 inf + 0
31.101 * * [simplify]: Extracting #2: cost 11 inf + 123
31.101 * * [simplify]: Extracting #3: cost 13 inf + 245
31.101 * * [simplify]: Extracting #4: cost 12 inf + 247
31.101 * * [simplify]: Extracting #5: cost 3 inf + 1509
31.101 * * [simplify]: Extracting #6: cost 0 inf + 1875
31.102 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
31.102 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
31.102 * * * * [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))) (sqrt k)))>
31.102 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
31.102 * * [simplify]: iters left: 6 (7 enodes)
31.105 * * [simplify]: iters left: 5 (28 enodes)
31.109 * * [simplify]: iters left: 4 (35 enodes)
31.115 * * [simplify]: Extracting #0: cost 1 inf + 0
31.115 * * [simplify]: Extracting #1: cost 6 inf + 0
31.115 * * [simplify]: Extracting #2: cost 7 inf + 2
31.115 * * [simplify]: Extracting #3: cost 11 inf + 2
31.115 * * [simplify]: Extracting #4: cost 9 inf + 45
31.115 * * [simplify]: Extracting #5: cost 4 inf + 455
31.115 * * [simplify]: Extracting #6: cost 0 inf + 1066
31.116 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
31.116 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
31.116 * * * * [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)))) (sqrt k)))>
31.116 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
31.116 * * [simplify]: iters left: 6 (8 enodes)
31.122 * * [simplify]: iters left: 5 (30 enodes)
31.128 * * [simplify]: iters left: 4 (37 enodes)
31.134 * * [simplify]: Extracting #0: cost 1 inf + 0
31.134 * * [simplify]: Extracting #1: cost 6 inf + 0
31.134 * * [simplify]: Extracting #2: cost 12 inf + 0
31.134 * * [simplify]: Extracting #3: cost 11 inf + 405
31.134 * * [simplify]: Extracting #4: cost 10 inf + 407
31.135 * * [simplify]: Extracting #5: cost 4 inf + 1100
31.135 * * [simplify]: Extracting #6: cost 0 inf + 1629
31.135 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
31.135 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
31.135 * * * * [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)))) (sqrt k)))>
31.135 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
31.136 * * [simplify]: iters left: 6 (9 enodes)
31.141 * * [simplify]: iters left: 5 (33 enodes)
31.152 * * [simplify]: iters left: 4 (43 enodes)
31.163 * * [simplify]: iters left: 3 (45 enodes)
31.169 * * [simplify]: Extracting #0: cost 1 inf + 0
31.169 * * [simplify]: Extracting #1: cost 8 inf + 0
31.169 * * [simplify]: Extracting #2: cost 16 inf + 0
31.170 * * [simplify]: Extracting #3: cost 16 inf + 284
31.170 * * [simplify]: Extracting #4: cost 11 inf + 610
31.170 * * [simplify]: Extracting #5: cost 8 inf + 775
31.170 * * [simplify]: Extracting #6: cost 0 inf + 2197
31.170 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
31.171 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
31.171 * * * * [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))) (sqrt k)))>
31.171 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
31.171 * * [simplify]: iters left: 6 (8 enodes)
31.174 * * [simplify]: iters left: 5 (30 enodes)
31.179 * * [simplify]: iters left: 4 (40 enodes)
31.185 * * [simplify]: iters left: 3 (42 enodes)
31.191 * * [simplify]: Extracting #0: cost 1 inf + 0
31.191 * * [simplify]: Extracting #1: cost 8 inf + 0
31.191 * * [simplify]: Extracting #2: cost 12 inf + 82
31.191 * * [simplify]: Extracting #3: cost 13 inf + 405
31.191 * * [simplify]: Extracting #4: cost 12 inf + 407
31.192 * * [simplify]: Extracting #5: cost 5 inf + 1223
31.192 * * [simplify]: Extracting #6: cost 0 inf + 1875
31.192 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
31.192 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
31.192 * * * * [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)))) (sqrt k)))>
31.193 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
31.193 * * [simplify]: iters left: 6 (9 enodes)
31.195 * * [simplify]: iters left: 5 (33 enodes)
31.201 * * [simplify]: iters left: 4 (43 enodes)
31.208 * * [simplify]: iters left: 3 (45 enodes)
31.218 * * [simplify]: Extracting #0: cost 1 inf + 0
31.218 * * [simplify]: Extracting #1: cost 8 inf + 0
31.218 * * [simplify]: Extracting #2: cost 16 inf + 0
31.218 * * [simplify]: Extracting #3: cost 16 inf + 284
31.218 * * [simplify]: Extracting #4: cost 11 inf + 610
31.218 * * [simplify]: Extracting #5: cost 8 inf + 775
31.219 * * [simplify]: Extracting #6: cost 0 inf + 2197
31.219 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
31.219 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
31.219 * * * * [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)))) (sqrt k)))>
31.219 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
31.219 * * [simplify]: iters left: 6 (8 enodes)
31.224 * * [simplify]: iters left: 5 (30 enodes)
31.234 * * [simplify]: iters left: 4 (35 enodes)
31.245 * * [simplify]: Extracting #0: cost 1 inf + 0
31.245 * * [simplify]: Extracting #1: cost 6 inf + 0
31.245 * * [simplify]: Extracting #2: cost 8 inf + 42
31.246 * * [simplify]: Extracting #3: cost 11 inf + 83
31.246 * * [simplify]: Extracting #4: cost 10 inf + 85
31.246 * * [simplify]: Extracting #5: cost 4 inf + 538
31.246 * * [simplify]: Extracting #6: cost 0 inf + 987
31.247 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
31.247 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
31.247 * * * * [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))) (sqrt k)))>
31.247 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
31.247 * * [simplify]: iters left: 6 (8 enodes)
31.252 * * [simplify]: iters left: 5 (30 enodes)
31.263 * * [simplify]: iters left: 4 (40 enodes)
31.276 * * [simplify]: iters left: 3 (42 enodes)
31.288 * * [simplify]: Extracting #0: cost 1 inf + 0
31.288 * * [simplify]: Extracting #1: cost 8 inf + 0
31.288 * * [simplify]: Extracting #2: cost 12 inf + 42
31.288 * * [simplify]: Extracting #3: cost 13 inf + 245
31.288 * * [simplify]: Extracting #4: cost 12 inf + 247
31.289 * * [simplify]: Extracting #5: cost 5 inf + 983
31.289 * * [simplify]: Extracting #6: cost 0 inf + 1555
31.290 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
31.290 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
31.290 * * * * [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)))) (sqrt k)))>
31.291 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
31.291 * * [simplify]: iters left: 6 (8 enodes)
31.296 * * [simplify]: iters left: 5 (30 enodes)
31.306 * * [simplify]: iters left: 4 (40 enodes)
31.318 * * [simplify]: iters left: 3 (42 enodes)
31.330 * * [simplify]: Extracting #0: cost 1 inf + 0
31.330 * * [simplify]: Extracting #1: cost 8 inf + 0
31.330 * * [simplify]: Extracting #2: cost 11 inf + 203
31.331 * * [simplify]: Extracting #3: cost 13 inf + 405
31.331 * * [simplify]: Extracting #4: cost 12 inf + 407
31.331 * * [simplify]: Extracting #5: cost 3 inf + 1549
31.332 * * [simplify]: Extracting #6: cost 0 inf + 1875
31.332 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
31.332 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
31.333 * * * * [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)))) (sqrt k)))>
31.333 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
31.333 * * [simplify]: iters left: 6 (8 enodes)
31.338 * * [simplify]: iters left: 5 (30 enodes)
31.348 * * [simplify]: iters left: 4 (40 enodes)
31.359 * * [simplify]: iters left: 3 (42 enodes)
31.376 * * [simplify]: Extracting #0: cost 1 inf + 0
31.376 * * [simplify]: Extracting #1: cost 8 inf + 0
31.376 * * [simplify]: Extracting #2: cost 11 inf + 123
31.376 * * [simplify]: Extracting #3: cost 13 inf + 245
31.376 * * [simplify]: Extracting #4: cost 12 inf + 247
31.377 * * [simplify]: Extracting #5: cost 3 inf + 1269
31.377 * * [simplify]: Extracting #6: cost 0 inf + 1555
31.378 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
31.378 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
31.378 * * * * [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))) (sqrt k)))>
31.378 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
31.379 * * [simplify]: iters left: 6 (7 enodes)
31.383 * * [simplify]: iters left: 5 (28 enodes)
31.392 * * [simplify]: iters left: 4 (35 enodes)
31.401 * * [simplify]: Extracting #0: cost 1 inf + 0
31.401 * * [simplify]: Extracting #1: cost 6 inf + 0
31.401 * * [simplify]: Extracting #2: cost 7 inf + 2
31.401 * * [simplify]: Extracting #3: cost 11 inf + 2
31.401 * * [simplify]: Extracting #4: cost 9 inf + 45
31.401 * * [simplify]: Extracting #5: cost 4 inf + 375
31.401 * * [simplify]: Extracting #6: cost 0 inf + 826
31.402 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
31.402 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
31.402 * * * * [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)))) (sqrt k)))>
31.402 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
31.402 * * [simplify]: iters left: 6 (7 enodes)
31.404 * * [simplify]: iters left: 5 (30 enodes)
31.410 * * [simplify]: iters left: 4 (49 enodes)
31.417 * * [simplify]: iters left: 3 (59 enodes)
31.426 * * [simplify]: iters left: 2 (64 enodes)
31.437 * * [simplify]: Extracting #0: cost 1 inf + 0
31.437 * * [simplify]: Extracting #1: cost 9 inf + 0
31.437 * * [simplify]: Extracting #2: cost 23 inf + 0
31.437 * * [simplify]: Extracting #3: cost 24 inf + 3
31.437 * * [simplify]: Extracting #4: cost 15 inf + 980
31.438 * * [simplify]: Extracting #5: cost 1 inf + 3007
31.439 * * [simplify]: Extracting #6: cost 0 inf + 3169
31.440 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
31.440 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
31.440 * * * * [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)))) (sqrt k)))>
31.441 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
31.441 * * [simplify]: iters left: 6 (8 enodes)
31.446 * * [simplify]: iters left: 5 (33 enodes)
31.457 * * [simplify]: iters left: 4 (55 enodes)
31.475 * * [simplify]: iters left: 3 (72 enodes)
31.489 * * [simplify]: iters left: 2 (84 enodes)
31.504 * * [simplify]: iters left: 1 (88 enodes)
31.527 * * [simplify]: Extracting #0: cost 1 inf + 0
31.527 * * [simplify]: Extracting #1: cost 11 inf + 0
31.527 * * [simplify]: Extracting #2: cost 30 inf + 0
31.528 * * [simplify]: Extracting #3: cost 33 inf + 84
31.528 * * [simplify]: Extracting #4: cost 12 inf + 2402
31.530 * * [simplify]: Extracting #5: cost 0 inf + 4469
31.532 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
31.532 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
31.532 * * * * [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))) (sqrt k)))>
31.532 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
31.532 * * [simplify]: iters left: 6 (7 enodes)
31.537 * * [simplify]: iters left: 5 (30 enodes)
31.546 * * [simplify]: iters left: 4 (52 enodes)
31.555 * * [simplify]: iters left: 3 (70 enodes)
31.566 * * [simplify]: iters left: 2 (81 enodes)
31.578 * * [simplify]: iters left: 1 (84 enodes)
31.601 * * [simplify]: Extracting #0: cost 1 inf + 0
31.601 * * [simplify]: Extracting #1: cost 11 inf + 0
31.602 * * [simplify]: Extracting #2: cost 25 inf + 203
31.602 * * [simplify]: Extracting #3: cost 25 inf + 530
31.603 * * [simplify]: Extracting #4: cost 4 inf + 2936
31.604 * * [simplify]: Extracting #5: cost 0 inf + 3504
31.605 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
31.605 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
31.606 * * * * [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)))) (sqrt k)))>
31.606 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
31.606 * * [simplify]: iters left: 6 (8 enodes)
31.610 * * [simplify]: iters left: 5 (33 enodes)
31.616 * * [simplify]: iters left: 4 (55 enodes)
31.626 * * [simplify]: iters left: 3 (72 enodes)
31.638 * * [simplify]: iters left: 2 (84 enodes)
31.657 * * [simplify]: iters left: 1 (88 enodes)
31.669 * * [simplify]: Extracting #0: cost 1 inf + 0
31.669 * * [simplify]: Extracting #1: cost 11 inf + 0
31.669 * * [simplify]: Extracting #2: cost 30 inf + 0
31.669 * * [simplify]: Extracting #3: cost 33 inf + 44
31.670 * * [simplify]: Extracting #4: cost 12 inf + 2362
31.670 * * [simplify]: Extracting #5: cost 0 inf + 4469
31.671 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
31.671 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
31.671 * * * * [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)))) (sqrt k)))>
31.672 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
31.672 * * [simplify]: iters left: 6 (7 enodes)
31.674 * * [simplify]: iters left: 5 (30 enodes)
31.681 * * [simplify]: iters left: 4 (48 enodes)
31.692 * * [simplify]: iters left: 3 (56 enodes)
31.711 * * [simplify]: Extracting #0: cost 1 inf + 0
31.711 * * [simplify]: Extracting #1: cost 8 inf + 0
31.711 * * [simplify]: Extracting #2: cost 15 inf + 43
31.711 * * [simplify]: Extracting #3: cost 16 inf + 86
31.712 * * [simplify]: Extracting #4: cost 5 inf + 911
31.712 * * [simplify]: Extracting #5: cost 1 inf + 1198
31.713 * * [simplify]: Extracting #6: cost 0 inf + 1320
31.714 * [simplify]: Simplified to (/ (- 1 k) 2)
31.714 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
31.714 * * * * [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))) (sqrt k)))>
31.714 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
31.714 * * [simplify]: iters left: 6 (7 enodes)
31.719 * * [simplify]: iters left: 5 (30 enodes)
31.730 * * [simplify]: iters left: 4 (52 enodes)
31.744 * * [simplify]: iters left: 3 (70 enodes)
31.755 * * [simplify]: iters left: 2 (81 enodes)
31.767 * * [simplify]: iters left: 1 (84 enodes)
31.780 * * [simplify]: Extracting #0: cost 1 inf + 0
31.780 * * [simplify]: Extracting #1: cost 11 inf + 0
31.780 * * [simplify]: Extracting #2: cost 25 inf + 123
31.780 * * [simplify]: Extracting #3: cost 25 inf + 330
31.781 * * [simplify]: Extracting #4: cost 4 inf + 2256
31.781 * * [simplify]: Extracting #5: cost 0 inf + 2704
31.782 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
31.782 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
31.782 * * * * [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)))) (sqrt k)))>
31.782 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
31.782 * * [simplify]: iters left: 6 (7 enodes)
31.785 * * [simplify]: iters left: 5 (31 enodes)
31.791 * * [simplify]: iters left: 4 (51 enodes)
31.799 * * [simplify]: iters left: 3 (64 enodes)
31.817 * * [simplify]: iters left: 2 (77 enodes)
31.838 * * [simplify]: iters left: 1 (84 enodes)
31.860 * * [simplify]: Extracting #0: cost 1 inf + 0
31.860 * * [simplify]: Extracting #1: cost 11 inf + 0
31.860 * * [simplify]: Extracting #2: cost 26 inf + 82
31.860 * * [simplify]: Extracting #3: cost 24 inf + 692
31.861 * * [simplify]: Extracting #4: cost 3 inf + 3057
31.862 * * [simplify]: Extracting #5: cost 0 inf + 3504
31.863 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
31.863 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
31.864 * * * * [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)))) (sqrt k)))>
31.864 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
31.864 * * [simplify]: iters left: 6 (7 enodes)
31.869 * * [simplify]: iters left: 5 (31 enodes)
31.879 * * [simplify]: iters left: 4 (51 enodes)
31.895 * * [simplify]: iters left: 3 (64 enodes)
31.913 * * [simplify]: iters left: 2 (77 enodes)
31.935 * * [simplify]: iters left: 1 (84 enodes)
31.961 * * [simplify]: Extracting #0: cost 1 inf + 0
31.961 * * [simplify]: Extracting #1: cost 11 inf + 0
31.962 * * [simplify]: Extracting #2: cost 26 inf + 42
31.962 * * [simplify]: Extracting #3: cost 24 inf + 452
31.963 * * [simplify]: Extracting #4: cost 3 inf + 2337
31.964 * * [simplify]: Extracting #5: cost 0 inf + 2704
31.965 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
31.965 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
31.965 * * * * [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))) (sqrt k)))>
31.966 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
31.966 * * [simplify]: iters left: 6 (6 enodes)
31.970 * * [simplify]: iters left: 5 (29 enodes)
31.977 * * [simplify]: iters left: 4 (44 enodes)
31.984 * * [simplify]: iters left: 3 (50 enodes)
31.992 * * [simplify]: iters left: 2 (57 enodes)
32.000 * * [simplify]: Extracting #0: cost 1 inf + 0
32.000 * * [simplify]: Extracting #1: cost 9 inf + 0
32.000 * * [simplify]: Extracting #2: cost 15 inf + 3
32.001 * * [simplify]: Extracting #3: cost 11 inf + 131
32.001 * * [simplify]: Extracting #4: cost 2 inf + 711
32.001 * * [simplify]: Extracting #5: cost 0 inf + 836
32.002 * [simplify]: Simplified to (- 1/4 (/ k 4))
32.002 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
32.002 * * * * [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)))) (sqrt k)))>
32.003 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
32.003 * * [simplify]: iters left: 6 (9 enodes)
32.009 * * [simplify]: iters left: 5 (36 enodes)
32.020 * * [simplify]: iters left: 4 (58 enodes)
32.037 * * [simplify]: iters left: 3 (71 enodes)
32.047 * * [simplify]: iters left: 2 (79 enodes)
32.057 * * [simplify]: iters left: 1 (80 enodes)
32.075 * * [simplify]: Extracting #0: cost 1 inf + 0
32.075 * * [simplify]: Extracting #1: cost 9 inf + 0
32.075 * * [simplify]: Extracting #2: cost 24 inf + 0
32.075 * * [simplify]: Extracting #3: cost 29 inf + 2
32.076 * * [simplify]: Extracting #4: cost 10 inf + 2233
32.077 * * [simplify]: Extracting #5: cost 1 inf + 4013
32.078 * * [simplify]: Extracting #6: cost 0 inf + 4135
32.079 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
32.079 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
32.080 * * * * [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)))) (sqrt k)))>
32.080 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
32.080 * * [simplify]: iters left: 6 (10 enodes)
32.087 * * [simplify]: iters left: 5 (39 enodes)
32.100 * * [simplify]: iters left: 4 (64 enodes)
32.120 * * [simplify]: iters left: 3 (86 enodes)
32.132 * * [simplify]: iters left: 2 (99 enodes)
32.146 * * [simplify]: iters left: 1 (104 enodes)
32.171 * * [simplify]: Extracting #0: cost 1 inf + 0
32.171 * * [simplify]: Extracting #1: cost 11 inf + 0
32.171 * * [simplify]: Extracting #2: cost 31 inf + 0
32.171 * * [simplify]: Extracting #3: cost 39 inf + 2
32.172 * * [simplify]: Extracting #4: cost 22 inf + 1871
32.173 * * [simplify]: Extracting #5: cost 4 inf + 4865
32.175 * * [simplify]: Extracting #6: cost 0 inf + 5675
32.177 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
32.177 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
32.177 * * * * [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))) (sqrt k)))>
32.178 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
32.178 * * [simplify]: iters left: 6 (9 enodes)
32.184 * * [simplify]: iters left: 5 (36 enodes)
32.200 * * [simplify]: iters left: 4 (61 enodes)
32.218 * * [simplify]: iters left: 3 (84 enodes)
32.233 * * [simplify]: iters left: 2 (96 enodes)
32.246 * * [simplify]: iters left: 1 (100 enodes)
32.263 * * [simplify]: Extracting #0: cost 1 inf + 0
32.263 * * [simplify]: Extracting #1: cost 11 inf + 0
32.263 * * [simplify]: Extracting #2: cost 27 inf + 82
32.263 * * [simplify]: Extracting #3: cost 29 inf + 651
32.264 * * [simplify]: Extracting #4: cost 12 inf + 2763
32.264 * * [simplify]: Extracting #5: cost 1 inf + 4587
32.265 * * [simplify]: Extracting #6: cost 0 inf + 4710
32.266 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
32.266 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
32.266 * * * * [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)))) (sqrt k)))>
32.266 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
32.266 * * [simplify]: iters left: 6 (10 enodes)
32.270 * * [simplify]: iters left: 5 (39 enodes)
32.276 * * [simplify]: iters left: 4 (64 enodes)
32.286 * * [simplify]: iters left: 3 (86 enodes)
32.313 * * [simplify]: iters left: 2 (99 enodes)
32.336 * * [simplify]: iters left: 1 (104 enodes)
32.349 * * [simplify]: Extracting #0: cost 1 inf + 0
32.349 * * [simplify]: Extracting #1: cost 11 inf + 0
32.349 * * [simplify]: Extracting #2: cost 31 inf + 0
32.349 * * [simplify]: Extracting #3: cost 39 inf + 2
32.350 * * [simplify]: Extracting #4: cost 22 inf + 1831
32.350 * * [simplify]: Extracting #5: cost 4 inf + 4785
32.351 * * [simplify]: Extracting #6: cost 0 inf + 5595
32.352 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
32.352 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
32.352 * * * * [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)))) (sqrt k)))>
32.353 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
32.353 * * [simplify]: iters left: 6 (9 enodes)
32.356 * * [simplify]: iters left: 5 (36 enodes)
32.363 * * [simplify]: iters left: 4 (57 enodes)
32.381 * * [simplify]: iters left: 3 (73 enodes)
32.400 * * [simplify]: iters left: 2 (80 enodes)
32.420 * * [simplify]: iters left: 1 (81 enodes)
32.430 * * [simplify]: Extracting #0: cost 1 inf + 0
32.431 * * [simplify]: Extracting #1: cost 9 inf + 0
32.431 * * [simplify]: Extracting #2: cost 18 inf + 43
32.431 * * [simplify]: Extracting #3: cost 23 inf + 85
32.431 * * [simplify]: Extracting #4: cost 9 inf + 1271
32.431 * * [simplify]: Extracting #5: cost 0 inf + 2370
32.432 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
32.432 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
32.432 * * * * [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))) (sqrt k)))>
32.432 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
32.432 * * [simplify]: iters left: 6 (9 enodes)
32.435 * * [simplify]: iters left: 5 (36 enodes)
32.443 * * [simplify]: iters left: 4 (61 enodes)
32.459 * * [simplify]: iters left: 3 (84 enodes)
32.471 * * [simplify]: iters left: 2 (96 enodes)
32.491 * * [simplify]: iters left: 1 (100 enodes)
32.515 * * [simplify]: Extracting #0: cost 1 inf + 0
32.515 * * [simplify]: Extracting #1: cost 11 inf + 0
32.515 * * [simplify]: Extracting #2: cost 27 inf + 42
32.515 * * [simplify]: Extracting #3: cost 29 inf + 411
32.516 * * [simplify]: Extracting #4: cost 12 inf + 2163
32.518 * * [simplify]: Extracting #5: cost 1 inf + 3707
32.519 * * [simplify]: Extracting #6: cost 0 inf + 3830
32.521 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
32.521 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
32.521 * * * * [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)))) (sqrt k)))>
32.521 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
32.521 * * [simplify]: iters left: 6 (9 enodes)
32.531 * * [simplify]: iters left: 5 (36 enodes)
32.544 * * [simplify]: iters left: 4 (62 enodes)
32.561 * * [simplify]: iters left: 3 (78 enodes)
32.572 * * [simplify]: iters left: 2 (90 enodes)
32.583 * * [simplify]: iters left: 1 (94 enodes)
32.597 * * [simplify]: Extracting #0: cost 1 inf + 0
32.597 * * [simplify]: Extracting #1: cost 11 inf + 0
32.597 * * [simplify]: Extracting #2: cost 27 inf + 1
32.598 * * [simplify]: Extracting #3: cost 29 inf + 409
32.598 * * [simplify]: Extracting #4: cost 12 inf + 2359
32.599 * * [simplify]: Extracting #5: cost 2 inf + 4022
32.601 * * [simplify]: Extracting #6: cost 0 inf + 4466
32.602 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
32.602 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
32.603 * * * * [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)))) (sqrt k)))>
32.603 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
32.603 * * [simplify]: iters left: 6 (9 enodes)
32.609 * * [simplify]: iters left: 5 (36 enodes)
32.622 * * [simplify]: iters left: 4 (62 enodes)
32.632 * * [simplify]: iters left: 3 (78 enodes)
32.647 * * [simplify]: iters left: 2 (90 enodes)
32.665 * * [simplify]: iters left: 1 (94 enodes)
32.683 * * [simplify]: Extracting #0: cost 1 inf + 0
32.683 * * [simplify]: Extracting #1: cost 11 inf + 0
32.683 * * [simplify]: Extracting #2: cost 27 inf + 1
32.683 * * [simplify]: Extracting #3: cost 29 inf + 249
32.683 * * [simplify]: Extracting #4: cost 12 inf + 1879
32.684 * * [simplify]: Extracting #5: cost 2 inf + 3302
32.685 * * [simplify]: Extracting #6: cost 0 inf + 3666
32.685 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
32.686 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
32.686 * * * * [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))) (sqrt k)))>
32.686 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
32.686 * * [simplify]: iters left: 6 (8 enodes)
32.689 * * [simplify]: iters left: 5 (34 enodes)
32.696 * * [simplify]: iters left: 4 (58 enodes)
32.703 * * [simplify]: iters left: 3 (65 enodes)
32.719 * * [simplify]: Extracting #0: cost 1 inf + 0
32.719 * * [simplify]: Extracting #1: cost 8 inf + 0
32.719 * * [simplify]: Extracting #2: cost 14 inf + 3
32.719 * * [simplify]: Extracting #3: cost 17 inf + 5
32.720 * * [simplify]: Extracting #4: cost 12 inf + 292
32.720 * * [simplify]: Extracting #5: cost 1 inf + 1355
32.721 * * [simplify]: Extracting #6: cost 0 inf + 1478
32.721 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
32.721 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
32.721 * * * * [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)))) (sqrt k)))>
32.722 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
32.722 * * [simplify]: iters left: 6 (8 enodes)
32.726 * * [simplify]: iters left: 5 (33 enodes)
32.738 * * [simplify]: iters left: 4 (52 enodes)
32.758 * * [simplify]: iters left: 3 (62 enodes)
32.775 * * [simplify]: iters left: 2 (67 enodes)
32.793 * * [simplify]: Extracting #0: cost 1 inf + 0
32.794 * * [simplify]: Extracting #1: cost 9 inf + 0
32.794 * * [simplify]: Extracting #2: cost 23 inf + 0
32.794 * * [simplify]: Extracting #3: cost 24 inf + 285
32.794 * * [simplify]: Extracting #4: cost 18 inf + 975
32.795 * * [simplify]: Extracting #5: cost 7 inf + 2516
32.796 * * [simplify]: Extracting #6: cost 0 inf + 3891
32.797 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
32.797 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
32.797 * * * * [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)))) (sqrt k)))>
32.798 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
32.798 * * [simplify]: iters left: 6 (9 enodes)
32.803 * * [simplify]: iters left: 5 (36 enodes)
32.815 * * [simplify]: iters left: 4 (58 enodes)
32.824 * * [simplify]: iters left: 3 (75 enodes)
32.836 * * [simplify]: iters left: 2 (87 enodes)
32.851 * * [simplify]: iters left: 1 (91 enodes)
32.868 * * [simplify]: Extracting #0: cost 1 inf + 0
32.868 * * [simplify]: Extracting #1: cost 11 inf + 0
32.868 * * [simplify]: Extracting #2: cost 30 inf + 0
32.868 * * [simplify]: Extracting #3: cost 36 inf + 83
32.868 * * [simplify]: Extracting #4: cost 30 inf + 451
32.871 * * [simplify]: Extracting #5: cost 10 inf + 3649
32.872 * * [simplify]: Extracting #6: cost 0 inf + 5431
32.873 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
32.873 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
32.873 * * * * [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))) (sqrt k)))>
32.873 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
32.873 * * [simplify]: iters left: 6 (8 enodes)
32.876 * * [simplify]: iters left: 5 (33 enodes)
32.882 * * [simplify]: iters left: 4 (55 enodes)
32.894 * * [simplify]: iters left: 3 (73 enodes)
32.915 * * [simplify]: iters left: 2 (84 enodes)
32.932 * * [simplify]: iters left: 1 (87 enodes)
32.944 * * [simplify]: Extracting #0: cost 1 inf + 0
32.944 * * [simplify]: Extracting #1: cost 11 inf + 0
32.944 * * [simplify]: Extracting #2: cost 25 inf + 203
32.944 * * [simplify]: Extracting #3: cost 29 inf + 407
32.944 * * [simplify]: Extracting #4: cost 24 inf + 896
32.945 * * [simplify]: Extracting #5: cost 9 inf + 2805
32.945 * * [simplify]: Extracting #6: cost 0 inf + 4466
32.946 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
32.946 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
32.946 * * * * [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)))) (sqrt k)))>
32.946 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
32.947 * * [simplify]: iters left: 6 (9 enodes)
32.950 * * [simplify]: iters left: 5 (36 enodes)
32.960 * * [simplify]: iters left: 4 (58 enodes)
32.978 * * [simplify]: iters left: 3 (75 enodes)
32.996 * * [simplify]: iters left: 2 (87 enodes)
33.007 * * [simplify]: iters left: 1 (91 enodes)
33.021 * * [simplify]: Extracting #0: cost 1 inf + 0
33.021 * * [simplify]: Extracting #1: cost 11 inf + 0
33.021 * * [simplify]: Extracting #2: cost 30 inf + 0
33.022 * * [simplify]: Extracting #3: cost 36 inf + 43
33.022 * * [simplify]: Extracting #4: cost 30 inf + 451
33.023 * * [simplify]: Extracting #5: cost 10 inf + 3769
33.025 * * [simplify]: Extracting #6: cost 0 inf + 5431
33.026 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
33.027 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
33.027 * * * * [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)))) (sqrt k)))>
33.027 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
33.027 * * [simplify]: iters left: 6 (8 enodes)
33.032 * * [simplify]: iters left: 5 (33 enodes)
33.044 * * [simplify]: iters left: 4 (51 enodes)
33.060 * * [simplify]: iters left: 3 (59 enodes)
33.076 * * [simplify]: Extracting #0: cost 1 inf + 0
33.076 * * [simplify]: Extracting #1: cost 8 inf + 0
33.076 * * [simplify]: Extracting #2: cost 15 inf + 43
33.076 * * [simplify]: Extracting #3: cost 19 inf + 85
33.077 * * [simplify]: Extracting #4: cost 16 inf + 250
33.077 * * [simplify]: Extracting #5: cost 5 inf + 1311
33.078 * * [simplify]: Extracting #6: cost 0 inf + 1962
33.079 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
33.079 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
33.079 * * * * [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))) (sqrt k)))>
33.079 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
33.079 * * [simplify]: iters left: 6 (8 enodes)
33.084 * * [simplify]: iters left: 5 (33 enodes)
33.096 * * [simplify]: iters left: 4 (55 enodes)
33.119 * * [simplify]: iters left: 3 (73 enodes)
33.137 * * [simplify]: iters left: 2 (84 enodes)
33.148 * * [simplify]: iters left: 1 (87 enodes)
33.159 * * [simplify]: Extracting #0: cost 1 inf + 0
33.160 * * [simplify]: Extracting #1: cost 11 inf + 0
33.160 * * [simplify]: Extracting #2: cost 25 inf + 123
33.160 * * [simplify]: Extracting #3: cost 29 inf + 247
33.160 * * [simplify]: Extracting #4: cost 24 inf + 576
33.160 * * [simplify]: Extracting #5: cost 9 inf + 2245
33.161 * * [simplify]: Extracting #6: cost 0 inf + 3666
33.162 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
33.162 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
33.162 * * * * [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)))) (sqrt k)))>
33.162 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
33.162 * * [simplify]: iters left: 6 (8 enodes)
33.165 * * [simplify]: iters left: 5 (34 enodes)
33.171 * * [simplify]: iters left: 4 (54 enodes)
33.179 * * [simplify]: iters left: 3 (67 enodes)
33.190 * * [simplify]: iters left: 2 (80 enodes)
33.208 * * [simplify]: iters left: 1 (87 enodes)
33.220 * * [simplify]: Extracting #0: cost 1 inf + 0
33.220 * * [simplify]: Extracting #1: cost 11 inf + 0
33.220 * * [simplify]: Extracting #2: cost 25 inf + 203
33.220 * * [simplify]: Extracting #3: cost 26 inf + 773
33.221 * * [simplify]: Extracting #4: cost 24 inf + 896
33.221 * * [simplify]: Extracting #5: cost 8 inf + 3127
33.222 * * [simplify]: Extracting #6: cost 0 inf + 4466
33.222 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
33.222 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
33.222 * * * * [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)))) (sqrt k)))>
33.223 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
33.223 * * [simplify]: iters left: 6 (8 enodes)
33.226 * * [simplify]: iters left: 5 (34 enodes)
33.235 * * [simplify]: iters left: 4 (54 enodes)
33.251 * * [simplify]: iters left: 3 (67 enodes)
33.271 * * [simplify]: iters left: 2 (80 enodes)
33.293 * * [simplify]: iters left: 1 (87 enodes)
33.316 * * [simplify]: Extracting #0: cost 1 inf + 0
33.316 * * [simplify]: Extracting #1: cost 11 inf + 0
33.316 * * [simplify]: Extracting #2: cost 25 inf + 123
33.316 * * [simplify]: Extracting #3: cost 26 inf + 493
33.317 * * [simplify]: Extracting #4: cost 24 inf + 576
33.317 * * [simplify]: Extracting #5: cost 8 inf + 2527
33.319 * * [simplify]: Extracting #6: cost 0 inf + 3666
33.320 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
33.320 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
33.321 * * * * [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))) (sqrt k)))>
33.321 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
33.321 * * [simplify]: iters left: 6 (7 enodes)
33.326 * * [simplify]: iters left: 5 (32 enodes)
33.341 * * [simplify]: iters left: 4 (50 enodes)
33.355 * * [simplify]: iters left: 3 (54 enodes)
33.369 * * [simplify]: Extracting #0: cost 1 inf + 0
33.369 * * [simplify]: Extracting #1: cost 8 inf + 0
33.369 * * [simplify]: Extracting #2: cost 13 inf + 3
33.369 * * [simplify]: Extracting #3: cost 15 inf + 5
33.370 * * [simplify]: Extracting #4: cost 14 inf + 6
33.370 * * [simplify]: Extracting #5: cost 4 inf + 825
33.370 * * [simplify]: Extracting #6: cost 0 inf + 1234
33.371 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
33.371 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
33.371 * * * * [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)))) (sqrt k)))>
33.371 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
33.372 * * [simplify]: iters left: 6 (7 enodes)
33.376 * * [simplify]: iters left: 5 (30 enodes)
33.383 * * [simplify]: iters left: 4 (49 enodes)
33.392 * * [simplify]: iters left: 3 (59 enodes)
33.401 * * [simplify]: iters left: 2 (64 enodes)
33.410 * * [simplify]: Extracting #0: cost 1 inf + 0
33.410 * * [simplify]: Extracting #1: cost 9 inf + 0
33.410 * * [simplify]: Extracting #2: cost 23 inf + 0
33.410 * * [simplify]: Extracting #3: cost 24 inf + 3
33.411 * * [simplify]: Extracting #4: cost 15 inf + 980
33.411 * * [simplify]: Extracting #5: cost 1 inf + 3007
33.411 * * [simplify]: Extracting #6: cost 0 inf + 3169
33.412 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
33.412 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
33.413 * * * * [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)))) (sqrt k)))>
33.413 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
33.413 * * [simplify]: iters left: 6 (8 enodes)
33.418 * * [simplify]: iters left: 5 (33 enodes)
33.430 * * [simplify]: iters left: 4 (55 enodes)
33.446 * * [simplify]: iters left: 3 (72 enodes)
33.460 * * [simplify]: iters left: 2 (84 enodes)
33.472 * * [simplify]: iters left: 1 (88 enodes)
33.495 * * [simplify]: Extracting #0: cost 1 inf + 0
33.495 * * [simplify]: Extracting #1: cost 11 inf + 0
33.495 * * [simplify]: Extracting #2: cost 30 inf + 0
33.495 * * [simplify]: Extracting #3: cost 33 inf + 84
33.496 * * [simplify]: Extracting #4: cost 12 inf + 2402
33.497 * * [simplify]: Extracting #5: cost 0 inf + 4469
33.499 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
33.499 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
33.499 * * * * [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))) (sqrt k)))>
33.499 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
33.499 * * [simplify]: iters left: 6 (7 enodes)
33.504 * * [simplify]: iters left: 5 (30 enodes)
33.510 * * [simplify]: iters left: 4 (52 enodes)
33.518 * * [simplify]: iters left: 3 (70 enodes)
33.528 * * [simplify]: iters left: 2 (81 enodes)
33.544 * * [simplify]: iters left: 1 (84 enodes)
33.558 * * [simplify]: Extracting #0: cost 1 inf + 0
33.558 * * [simplify]: Extracting #1: cost 11 inf + 0
33.558 * * [simplify]: Extracting #2: cost 25 inf + 203
33.558 * * [simplify]: Extracting #3: cost 25 inf + 530
33.558 * * [simplify]: Extracting #4: cost 4 inf + 2936
33.559 * * [simplify]: Extracting #5: cost 0 inf + 3504
33.559 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
33.559 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
33.560 * * * * [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)))) (sqrt k)))>
33.560 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
33.560 * * [simplify]: iters left: 6 (8 enodes)
33.563 * * [simplify]: iters left: 5 (33 enodes)
33.570 * * [simplify]: iters left: 4 (55 enodes)
33.587 * * [simplify]: iters left: 3 (72 enodes)
33.607 * * [simplify]: iters left: 2 (84 enodes)
33.623 * * [simplify]: iters left: 1 (88 enodes)
33.635 * * [simplify]: Extracting #0: cost 1 inf + 0
33.635 * * [simplify]: Extracting #1: cost 11 inf + 0
33.635 * * [simplify]: Extracting #2: cost 30 inf + 0
33.635 * * [simplify]: Extracting #3: cost 33 inf + 44
33.635 * * [simplify]: Extracting #4: cost 12 inf + 2362
33.636 * * [simplify]: Extracting #5: cost 0 inf + 4469
33.637 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
33.637 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
33.637 * * * * [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)))) (sqrt k)))>
33.637 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
33.637 * * [simplify]: iters left: 6 (7 enodes)
33.640 * * [simplify]: iters left: 5 (30 enodes)
33.646 * * [simplify]: iters left: 4 (48 enodes)
33.661 * * [simplify]: iters left: 3 (56 enodes)
33.679 * * [simplify]: Extracting #0: cost 1 inf + 0
33.679 * * [simplify]: Extracting #1: cost 8 inf + 0
33.679 * * [simplify]: Extracting #2: cost 15 inf + 43
33.679 * * [simplify]: Extracting #3: cost 16 inf + 86
33.680 * * [simplify]: Extracting #4: cost 5 inf + 911
33.680 * * [simplify]: Extracting #5: cost 1 inf + 1198
33.681 * * [simplify]: Extracting #6: cost 0 inf + 1320
33.682 * [simplify]: Simplified to (/ (- 1 k) 2)
33.682 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
33.682 * * * * [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))) (sqrt k)))>
33.682 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
33.682 * * [simplify]: iters left: 6 (7 enodes)
33.687 * * [simplify]: iters left: 5 (30 enodes)
33.697 * * [simplify]: iters left: 4 (52 enodes)
33.713 * * [simplify]: iters left: 3 (70 enodes)
33.731 * * [simplify]: iters left: 2 (81 enodes)
33.745 * * [simplify]: iters left: 1 (84 enodes)
33.755 * * [simplify]: Extracting #0: cost 1 inf + 0
33.756 * * [simplify]: Extracting #1: cost 11 inf + 0
33.756 * * [simplify]: Extracting #2: cost 25 inf + 123
33.756 * * [simplify]: Extracting #3: cost 25 inf + 330
33.756 * * [simplify]: Extracting #4: cost 4 inf + 2256
33.757 * * [simplify]: Extracting #5: cost 0 inf + 2704
33.757 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
33.757 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
33.758 * * * * [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)))) (sqrt k)))>
33.758 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
33.758 * * [simplify]: iters left: 6 (7 enodes)
33.761 * * [simplify]: iters left: 5 (31 enodes)
33.768 * * [simplify]: iters left: 4 (51 enodes)
33.783 * * [simplify]: iters left: 3 (64 enodes)
33.804 * * [simplify]: iters left: 2 (77 enodes)
33.825 * * [simplify]: iters left: 1 (84 enodes)
33.847 * * [simplify]: Extracting #0: cost 1 inf + 0
33.847 * * [simplify]: Extracting #1: cost 11 inf + 0
33.847 * * [simplify]: Extracting #2: cost 26 inf + 82
33.847 * * [simplify]: Extracting #3: cost 24 inf + 692
33.848 * * [simplify]: Extracting #4: cost 3 inf + 3057
33.849 * * [simplify]: Extracting #5: cost 0 inf + 3504
33.850 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
33.851 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
33.851 * * * * [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)))) (sqrt k)))>
33.851 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
33.851 * * [simplify]: iters left: 6 (7 enodes)
33.856 * * [simplify]: iters left: 5 (31 enodes)
33.867 * * [simplify]: iters left: 4 (51 enodes)
33.883 * * [simplify]: iters left: 3 (64 enodes)
33.901 * * [simplify]: iters left: 2 (77 enodes)
33.924 * * [simplify]: iters left: 1 (84 enodes)
33.947 * * [simplify]: Extracting #0: cost 1 inf + 0
33.947 * * [simplify]: Extracting #1: cost 11 inf + 0
33.947 * * [simplify]: Extracting #2: cost 26 inf + 42
33.948 * * [simplify]: Extracting #3: cost 24 inf + 452
33.948 * * [simplify]: Extracting #4: cost 3 inf + 2337
33.949 * * [simplify]: Extracting #5: cost 0 inf + 2704
33.949 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
33.949 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
33.949 * * * * [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))) (sqrt k)))>
33.950 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
33.950 * * [simplify]: iters left: 6 (6 enodes)
33.952 * * [simplify]: iters left: 5 (29 enodes)
33.958 * * [simplify]: iters left: 4 (44 enodes)
33.965 * * [simplify]: iters left: 3 (50 enodes)
33.972 * * [simplify]: iters left: 2 (57 enodes)
33.980 * * [simplify]: Extracting #0: cost 1 inf + 0
33.980 * * [simplify]: Extracting #1: cost 9 inf + 0
33.980 * * [simplify]: Extracting #2: cost 15 inf + 3
33.981 * * [simplify]: Extracting #3: cost 11 inf + 131
33.981 * * [simplify]: Extracting #4: cost 2 inf + 711
33.981 * * [simplify]: Extracting #5: cost 0 inf + 836
33.981 * [simplify]: Simplified to (- 1/4 (/ k 4))
33.981 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
33.981 * * * * [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)))) (sqrt k)))>
33.982 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
33.982 * * [simplify]: iters left: 6 (7 enodes)
33.984 * * [simplify]: iters left: 5 (31 enodes)
33.990 * * [simplify]: iters left: 4 (51 enodes)
33.997 * * [simplify]: iters left: 3 (64 enodes)
34.007 * * [simplify]: iters left: 2 (77 enodes)
34.018 * * [simplify]: iters left: 1 (84 enodes)
34.031 * * [simplify]: Extracting #0: cost 1 inf + 0
34.031 * * [simplify]: Extracting #1: cost 11 inf + 0
34.031 * * [simplify]: Extracting #2: cost 26 inf + 82
34.031 * * [simplify]: Extracting #3: cost 24 inf + 692
34.032 * * [simplify]: Extracting #4: cost 3 inf + 3057
34.032 * * [simplify]: Extracting #5: cost 0 inf + 3504
34.033 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
34.033 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
34.033 * * * * [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)))) (sqrt k)))>
34.033 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
34.034 * * [simplify]: iters left: 6 (7 enodes)
34.036 * * [simplify]: iters left: 5 (31 enodes)
34.042 * * [simplify]: iters left: 4 (51 enodes)
34.054 * * [simplify]: iters left: 3 (64 enodes)
34.073 * * [simplify]: iters left: 2 (77 enodes)
34.094 * * [simplify]: iters left: 1 (84 enodes)
34.116 * * [simplify]: Extracting #0: cost 1 inf + 0
34.117 * * [simplify]: Extracting #1: cost 11 inf + 0
34.117 * * [simplify]: Extracting #2: cost 26 inf + 42
34.117 * * [simplify]: Extracting #3: cost 24 inf + 452
34.118 * * [simplify]: Extracting #4: cost 3 inf + 2337
34.119 * * [simplify]: Extracting #5: cost 0 inf + 2704
34.120 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
34.120 * [simplify]: Simplified (2 1 2 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))))) (sqrt k)))
34.120 * * * * [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))) (sqrt k)))>
34.121 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
34.121 * * [simplify]: iters left: 6 (6 enodes)
34.125 * * [simplify]: iters left: 5 (29 enodes)
34.135 * * [simplify]: iters left: 4 (44 enodes)
34.145 * * [simplify]: iters left: 3 (50 enodes)
34.155 * * [simplify]: iters left: 2 (57 enodes)
34.163 * * [simplify]: Extracting #0: cost 1 inf + 0
34.163 * * [simplify]: Extracting #1: cost 9 inf + 0
34.163 * * [simplify]: Extracting #2: cost 15 inf + 3
34.163 * * [simplify]: Extracting #3: cost 11 inf + 131
34.164 * * [simplify]: Extracting #4: cost 2 inf + 711
34.164 * * [simplify]: Extracting #5: cost 0 inf + 836
34.164 * [simplify]: Simplified to (- 1/4 (/ k 4))
34.164 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4)))) (sqrt k)))
34.164 * * * * [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)))) (sqrt k)))>
34.165 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
34.165 * * [simplify]: iters left: 4 (5 enodes)
34.167 * * [simplify]: iters left: 3 (20 enodes)
34.173 * * [simplify]: iters left: 2 (27 enodes)
34.182 * * [simplify]: iters left: 1 (29 enodes)
34.192 * * [simplify]: Extracting #0: cost 1 inf + 0
34.192 * * [simplify]: Extracting #1: cost 8 inf + 0
34.192 * * [simplify]: Extracting #2: cost 4 inf + 449
34.192 * * [simplify]: Extracting #3: cost 0 inf + 895
34.193 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
34.193 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
34.193 * * * * [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)))) (sqrt k)))>
34.193 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
34.193 * * [simplify]: iters left: 4 (5 enodes)
34.197 * * [simplify]: iters left: 3 (20 enodes)
34.204 * * [simplify]: iters left: 2 (27 enodes)
34.213 * * [simplify]: iters left: 1 (29 enodes)
34.218 * * [simplify]: Extracting #0: cost 1 inf + 0
34.218 * * [simplify]: Extracting #1: cost 8 inf + 0
34.218 * * [simplify]: Extracting #2: cost 4 inf + 289
34.218 * * [simplify]: Extracting #3: cost 0 inf + 575
34.218 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
34.218 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
34.218 * * * * [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))) (sqrt k)))>
34.218 * [simplify]: Simplifying (/ (/ 1 2) 2)
34.218 * * [simplify]: iters left: 4 (4 enodes)
34.221 * * [simplify]: iters left: 3 (19 enodes)
34.224 * * [simplify]: iters left: 2 (23 enodes)
34.228 * * [simplify]: Extracting #0: cost 1 inf + 0
34.228 * * [simplify]: Extracting #1: cost 0 inf + 1
34.228 * [simplify]: Simplified to 1/4
34.228 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4)) (sqrt k)))
34.228 * * * * [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))) (sqrt k)))>
34.228 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
34.228 * * [simplify]: iters left: 6 (6 enodes)
34.230 * * [simplify]: iters left: 5 (29 enodes)
34.236 * * [simplify]: iters left: 4 (44 enodes)
34.242 * * [simplify]: iters left: 3 (50 enodes)
34.260 * * [simplify]: iters left: 2 (57 enodes)
34.276 * * [simplify]: Extracting #0: cost 1 inf + 0
34.276 * * [simplify]: Extracting #1: cost 9 inf + 0
34.277 * * [simplify]: Extracting #2: cost 15 inf + 3
34.277 * * [simplify]: Extracting #3: cost 11 inf + 131
34.277 * * [simplify]: Extracting #4: cost 2 inf + 711
34.278 * * [simplify]: Extracting #5: cost 0 inf + 836
34.278 * [simplify]: Simplified to (- 1/4 (/ k 4))
34.278 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4)))) (sqrt k)))
34.278 * * * * [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))) (sqrt k)))>
34.279 * [simplify]: Simplifying (/ 1 2)
34.279 * * [simplify]: iters left: 2 (3 enodes)
34.282 * * [simplify]: iters left: 1 (12 enodes)
34.286 * * [simplify]: Extracting #0: cost 1 inf + 0
34.286 * * [simplify]: Extracting #1: cost 0 inf + 1
34.286 * [simplify]: Simplified to 1/2
34.286 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2)) (sqrt k)))
34.286 * * * * [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)))) (sqrt k)))>
34.286 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
34.287 * * [simplify]: iters left: 6 (8 enodes)
34.290 * * [simplify]: iters left: 5 (38 enodes)
34.297 * * [simplify]: iters left: 4 (66 enodes)
34.309 * * [simplify]: iters left: 3 (110 enodes)
34.341 * * [simplify]: iters left: 2 (200 enodes)
34.413 * * [simplify]: iters left: 1 (403 enodes)
34.578 * * [simplify]: Extracting #0: cost 1 inf + 0
34.578 * * [simplify]: Extracting #1: cost 26 inf + 0
34.579 * * [simplify]: Extracting #2: cost 100 inf + 2
34.579 * * [simplify]: Extracting #3: cost 164 inf + 10
34.580 * * [simplify]: Extracting #4: cost 163 inf + 641
34.583 * * [simplify]: Extracting #5: cost 72 inf + 12998
34.588 * * [simplify]: Extracting #6: cost 25 inf + 35040
34.596 * * [simplify]: Extracting #7: cost 0 inf + 54806
34.604 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
34.604 * [simplify]: Simplified (2 1 2 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)))) (sqrt k)))
34.604 * * * * [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)) (sqrt k)))>
34.604 * * * * [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))))) (sqrt k)))>
34.604 * * * * [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))))) (sqrt k)))>
34.604 * * * * [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))))) (sqrt k)))>
34.604 * * * * [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))))) (sqrt k)))>
34.604 * * * * [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))))) (sqrt k)))>
34.604 * * * * [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)))) (sqrt k)))>
34.604 * * * * [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)))) (sqrt k)))>
34.605 * * * * [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))))) (sqrt k)))>
34.605 * * * * [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))) (sqrt k)))>
34.605 * * * * [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))) (sqrt k)))>
34.605 * * * * [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))) (sqrt k)))>
34.605 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
34.605 * * [simplify]: iters left: 6 (14 enodes)
34.610 * * [simplify]: iters left: 5 (60 enodes)
34.630 * * [simplify]: iters left: 4 (108 enodes)
34.676 * * [simplify]: iters left: 3 (255 enodes)
34.767 * * [simplify]: Extracting #0: cost 1 inf + 0
34.767 * * [simplify]: Extracting #1: cost 34 inf + 0
34.768 * * [simplify]: Extracting #2: cost 122 inf + 73
34.768 * * [simplify]: Extracting #3: cost 134 inf + 2876
34.771 * * [simplify]: Extracting #4: cost 49 inf + 20493
34.777 * * [simplify]: Extracting #5: cost 4 inf + 30853
34.784 * * [simplify]: Extracting #6: cost 0 inf + 31808
34.791 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))
34.791 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
34.791 * * * * [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))) (sqrt k)))>
34.791 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
34.791 * * [simplify]: iters left: 6 (13 enodes)
34.795 * * [simplify]: iters left: 5 (58 enodes)
34.813 * * [simplify]: iters left: 4 (101 enodes)
34.831 * * [simplify]: iters left: 3 (211 enodes)
34.918 * * [simplify]: Extracting #0: cost 1 inf + 0
34.918 * * [simplify]: Extracting #1: cost 28 inf + 0
34.919 * * [simplify]: Extracting #2: cost 110 inf + 73
34.920 * * [simplify]: Extracting #3: cost 127 inf + 1744
34.923 * * [simplify]: Extracting #4: cost 73 inf + 10230
34.931 * * [simplify]: Extracting #5: cost 26 inf + 20266
34.940 * * [simplify]: Extracting #6: cost 6 inf + 24692
34.952 * * [simplify]: Extracting #7: cost 0 inf + 26084
34.962 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))
34.963 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
34.963 * * * * [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))) (sqrt k)))>
34.963 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
34.963 * * [simplify]: iters left: 6 (12 enodes)
34.971 * * [simplify]: iters left: 5 (57 enodes)
34.986 * * [simplify]: iters left: 4 (111 enodes)
35.005 * * [simplify]: iters left: 3 (214 enodes)
35.095 * * [simplify]: iters left: 2 (472 enodes)
35.274 * * [simplify]: Extracting #0: cost 1 inf + 0
35.274 * * [simplify]: Extracting #1: cost 40 inf + 0
35.278 * * [simplify]: Extracting #2: cost 158 inf + 4
35.280 * * [simplify]: Extracting #3: cost 193 inf + 1443
35.284 * * [simplify]: Extracting #4: cost 88 inf + 19136
35.293 * * [simplify]: Extracting #5: cost 7 inf + 36795
35.303 * * [simplify]: Extracting #6: cost 0 inf + 38243
35.312 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
35.312 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.312 * * * * [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))) (sqrt k)))>
35.312 * * * * [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))) (sqrt k)))>
35.313 * [simplify]: Simplifying (* n (* 2 PI))
35.313 * * [simplify]: iters left: 4 (5 enodes)
35.314 * * [simplify]: iters left: 3 (19 enodes)
35.317 * * [simplify]: iters left: 2 (27 enodes)
35.322 * * [simplify]: iters left: 1 (32 enodes)
35.326 * * [simplify]: Extracting #0: cost 1 inf + 0
35.326 * * [simplify]: Extracting #1: cost 8 inf + 0
35.326 * * [simplify]: Extracting #2: cost 7 inf + 45
35.326 * * [simplify]: Extracting #3: cost 0 inf + 421
35.326 * [simplify]: Simplified to (* (* PI 2) n)
35.326 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
35.326 * * * * [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))) (sqrt k)))>
35.326 * [simplify]: Simplifying (* n (* 2 PI))
35.326 * * [simplify]: iters left: 4 (5 enodes)
35.328 * * [simplify]: iters left: 3 (19 enodes)
35.331 * * [simplify]: iters left: 2 (27 enodes)
35.335 * * [simplify]: iters left: 1 (32 enodes)
35.339 * * [simplify]: Extracting #0: cost 1 inf + 0
35.339 * * [simplify]: Extracting #1: cost 8 inf + 0
35.339 * * [simplify]: Extracting #2: cost 7 inf + 45
35.340 * * [simplify]: Extracting #3: cost 0 inf + 421
35.340 * [simplify]: Simplified to (* (* PI 2) n)
35.340 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
35.340 * * * * [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))) (sqrt k)))>
35.340 * [simplify]: Simplifying (* n (* 2 PI))
35.340 * * [simplify]: iters left: 4 (5 enodes)
35.342 * * [simplify]: iters left: 3 (19 enodes)
35.345 * * [simplify]: iters left: 2 (27 enodes)
35.349 * * [simplify]: iters left: 1 (32 enodes)
35.356 * * [simplify]: Extracting #0: cost 1 inf + 0
35.356 * * [simplify]: Extracting #1: cost 8 inf + 0
35.356 * * [simplify]: Extracting #2: cost 7 inf + 45
35.356 * * [simplify]: Extracting #3: cost 0 inf + 421
35.356 * [simplify]: Simplified to (* (* PI 2) n)
35.356 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
35.356 * * * * [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))) (sqrt k)))>
35.356 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
35.356 * * [simplify]: iters left: 5 (9 enodes)
35.359 * * [simplify]: iters left: 4 (37 enodes)
35.371 * * [simplify]: iters left: 3 (57 enodes)
35.390 * * [simplify]: iters left: 2 (93 enodes)
35.421 * * [simplify]: iters left: 1 (170 enodes)
35.482 * * [simplify]: Extracting #0: cost 1 inf + 0
35.482 * * [simplify]: Extracting #1: cost 13 inf + 0
35.483 * * [simplify]: Extracting #2: cost 59 inf + 1
35.483 * * [simplify]: Extracting #3: cost 78 inf + 176
35.485 * * [simplify]: Extracting #4: cost 40 inf + 3875
35.493 * * [simplify]: Extracting #5: cost 7 inf + 16988
35.498 * * [simplify]: Extracting #6: cost 0 inf + 20577
35.504 * * [simplify]: Extracting #7: cost 0 inf + 20336
35.507 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
35.507 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.507 * * * * [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))) (sqrt k)))>
35.507 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
35.507 * * [simplify]: iters left: 6 (7 enodes)
35.510 * * [simplify]: iters left: 5 (32 enodes)
35.516 * * [simplify]: iters left: 4 (47 enodes)
35.523 * * [simplify]: iters left: 3 (53 enodes)
35.531 * * [simplify]: iters left: 2 (60 enodes)
35.543 * * [simplify]: Extracting #0: cost 1 inf + 0
35.543 * * [simplify]: Extracting #1: cost 3 inf + 0
35.543 * * [simplify]: Extracting #2: cost 11 inf + 0
35.543 * * [simplify]: Extracting #3: cost 17 inf + 3
35.543 * * [simplify]: Extracting #4: cost 14 inf + 129
35.543 * * [simplify]: Extracting #5: cost 3 inf + 794
35.544 * * [simplify]: Extracting #6: cost 0 inf + 1162
35.544 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
35.544 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.545 * * * * [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))) (sqrt k)))>
35.545 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
35.545 * * [simplify]: iters left: 6 (7 enodes)
35.551 * * [simplify]: iters left: 5 (32 enodes)
35.557 * * [simplify]: iters left: 4 (47 enodes)
35.564 * * [simplify]: iters left: 3 (53 enodes)
35.572 * * [simplify]: iters left: 2 (60 enodes)
35.581 * * [simplify]: Extracting #0: cost 1 inf + 0
35.581 * * [simplify]: Extracting #1: cost 3 inf + 0
35.581 * * [simplify]: Extracting #2: cost 11 inf + 0
35.581 * * [simplify]: Extracting #3: cost 17 inf + 3
35.581 * * [simplify]: Extracting #4: cost 14 inf + 129
35.581 * * [simplify]: Extracting #5: cost 3 inf + 794
35.582 * * [simplify]: Extracting #6: cost 0 inf + 1082
35.582 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
35.582 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.582 * * * * [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))) (sqrt k)))>
35.582 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
35.582 * * [simplify]: iters left: 6 (8 enodes)
35.590 * * [simplify]: iters left: 5 (32 enodes)
35.600 * * [simplify]: iters left: 4 (41 enodes)
35.612 * * [simplify]: Extracting #0: cost 1 inf + 0
35.612 * * [simplify]: Extracting #1: cost 4 inf + 0
35.614 * * [simplify]: Extracting #2: cost 8 inf + 0
35.614 * * [simplify]: Extracting #3: cost 9 inf + 163
35.614 * * [simplify]: Extracting #4: cost 13 inf + 164
35.614 * * [simplify]: Extracting #5: cost 10 inf + 249
35.614 * * [simplify]: Extracting #6: cost 3 inf + 986
35.615 * * [simplify]: Extracting #7: cost 0 inf + 1474
35.615 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
35.615 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.616 * * * * [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))) (sqrt k)))>
35.616 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
35.616 * * [simplify]: iters left: 6 (8 enodes)
35.621 * * [simplify]: iters left: 5 (32 enodes)
35.631 * * [simplify]: iters left: 4 (41 enodes)
35.643 * * [simplify]: Extracting #0: cost 1 inf + 0
35.643 * * [simplify]: Extracting #1: cost 4 inf + 0
35.643 * * [simplify]: Extracting #2: cost 8 inf + 0
35.644 * * [simplify]: Extracting #3: cost 9 inf + 83
35.644 * * [simplify]: Extracting #4: cost 13 inf + 84
35.644 * * [simplify]: Extracting #5: cost 10 inf + 169
35.644 * * [simplify]: Extracting #6: cost 3 inf + 866
35.645 * * [simplify]: Extracting #7: cost 0 inf + 1314
35.645 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
35.645 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.646 * * * * [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))) (sqrt k)))>
35.646 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
35.646 * * [simplify]: iters left: 6 (7 enodes)
35.651 * * [simplify]: iters left: 5 (29 enodes)
35.660 * * [simplify]: iters left: 4 (38 enodes)
35.672 * * [simplify]: Extracting #0: cost 1 inf + 0
35.672 * * [simplify]: Extracting #1: cost 4 inf + 0
35.673 * * [simplify]: Extracting #2: cost 5 inf + 1
35.673 * * [simplify]: Extracting #3: cost 9 inf + 1
35.673 * * [simplify]: Extracting #4: cost 13 inf + 2
35.673 * * [simplify]: Extracting #5: cost 12 inf + 4
35.673 * * [simplify]: Extracting #6: cost 2 inf + 746
35.673 * * [simplify]: Extracting #7: cost 0 inf + 1152
35.674 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
35.674 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.674 * * * * [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))) (sqrt k)))>
35.674 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
35.675 * * [simplify]: iters left: 6 (8 enodes)
35.680 * * [simplify]: iters left: 5 (32 enodes)
35.691 * * [simplify]: iters left: 4 (41 enodes)
35.702 * * [simplify]: Extracting #0: cost 1 inf + 0
35.702 * * [simplify]: Extracting #1: cost 4 inf + 0
35.703 * * [simplify]: Extracting #2: cost 8 inf + 0
35.703 * * [simplify]: Extracting #3: cost 9 inf + 163
35.703 * * [simplify]: Extracting #4: cost 13 inf + 164
35.703 * * [simplify]: Extracting #5: cost 10 inf + 249
35.703 * * [simplify]: Extracting #6: cost 3 inf + 906
35.703 * * [simplify]: Extracting #7: cost 0 inf + 1314
35.703 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
35.703 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.704 * * * * [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))) (sqrt k)))>
35.704 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
35.704 * * [simplify]: iters left: 6 (8 enodes)
35.707 * * [simplify]: iters left: 5 (32 enodes)
35.712 * * [simplify]: iters left: 4 (41 enodes)
35.719 * * [simplify]: Extracting #0: cost 1 inf + 0
35.719 * * [simplify]: Extracting #1: cost 4 inf + 0
35.719 * * [simplify]: Extracting #2: cost 8 inf + 0
35.719 * * [simplify]: Extracting #3: cost 9 inf + 83
35.719 * * [simplify]: Extracting #4: cost 13 inf + 84
35.719 * * [simplify]: Extracting #5: cost 10 inf + 169
35.719 * * [simplify]: Extracting #6: cost 3 inf + 786
35.719 * * [simplify]: Extracting #7: cost 0 inf + 1154
35.720 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
35.720 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.720 * * * * [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))) (sqrt k)))>
35.720 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
35.720 * * [simplify]: iters left: 6 (7 enodes)
35.725 * * [simplify]: iters left: 5 (29 enodes)
35.731 * * [simplify]: iters left: 4 (38 enodes)
35.741 * * [simplify]: Extracting #0: cost 1 inf + 0
35.742 * * [simplify]: Extracting #1: cost 4 inf + 0
35.742 * * [simplify]: Extracting #2: cost 5 inf + 1
35.742 * * [simplify]: Extracting #3: cost 9 inf + 1
35.742 * * [simplify]: Extracting #4: cost 13 inf + 2
35.742 * * [simplify]: Extracting #5: cost 12 inf + 4
35.742 * * [simplify]: Extracting #6: cost 2 inf + 666
35.743 * * [simplify]: Extracting #7: cost 0 inf + 992
35.743 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
35.743 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.743 * * * * [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))) (sqrt k)))>
35.744 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
35.744 * * [simplify]: iters left: 6 (8 enodes)
35.749 * * [simplify]: iters left: 5 (30 enodes)
35.758 * * [simplify]: iters left: 4 (37 enodes)
35.770 * * [simplify]: Extracting #0: cost 1 inf + 0
35.770 * * [simplify]: Extracting #1: cost 6 inf + 0
35.770 * * [simplify]: Extracting #2: cost 12 inf + 0
35.770 * * [simplify]: Extracting #3: cost 11 inf + 405
35.770 * * [simplify]: Extracting #4: cost 10 inf + 407
35.771 * * [simplify]: Extracting #5: cost 4 inf + 1220
35.771 * * [simplify]: Extracting #6: cost 0 inf + 1869
35.772 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
35.772 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.772 * * * * [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))) (sqrt k)))>
35.772 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
35.772 * * [simplify]: iters left: 6 (9 enodes)
35.778 * * [simplify]: iters left: 5 (33 enodes)
35.787 * * [simplify]: iters left: 4 (43 enodes)
35.794 * * [simplify]: iters left: 3 (45 enodes)
35.801 * * [simplify]: Extracting #0: cost 1 inf + 0
35.801 * * [simplify]: Extracting #1: cost 8 inf + 0
35.801 * * [simplify]: Extracting #2: cost 16 inf + 0
35.801 * * [simplify]: Extracting #3: cost 16 inf + 284
35.801 * * [simplify]: Extracting #4: cost 11 inf + 610
35.801 * * [simplify]: Extracting #5: cost 8 inf + 815
35.802 * * [simplify]: Extracting #6: cost 0 inf + 2517
35.802 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
35.802 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.802 * * * * [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))) (sqrt k)))>
35.802 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
35.802 * * [simplify]: iters left: 6 (8 enodes)
35.805 * * [simplify]: iters left: 5 (30 enodes)
35.810 * * [simplify]: iters left: 4 (40 enodes)
35.817 * * [simplify]: iters left: 3 (42 enodes)
35.830 * * [simplify]: Extracting #0: cost 1 inf + 0
35.830 * * [simplify]: Extracting #1: cost 8 inf + 0
35.830 * * [simplify]: Extracting #2: cost 12 inf + 82
35.830 * * [simplify]: Extracting #3: cost 13 inf + 405
35.830 * * [simplify]: Extracting #4: cost 12 inf + 407
35.831 * * [simplify]: Extracting #5: cost 5 inf + 1383
35.831 * * [simplify]: Extracting #6: cost 0 inf + 2195
35.832 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
35.832 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.832 * * * * [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))) (sqrt k)))>
35.833 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
35.833 * * [simplify]: iters left: 6 (9 enodes)
35.838 * * [simplify]: iters left: 5 (33 enodes)
35.852 * * [simplify]: iters left: 4 (43 enodes)
35.864 * * [simplify]: iters left: 3 (45 enodes)
35.876 * * [simplify]: Extracting #0: cost 1 inf + 0
35.876 * * [simplify]: Extracting #1: cost 8 inf + 0
35.876 * * [simplify]: Extracting #2: cost 16 inf + 0
35.876 * * [simplify]: Extracting #3: cost 16 inf + 284
35.876 * * [simplify]: Extracting #4: cost 11 inf + 610
35.876 * * [simplify]: Extracting #5: cost 8 inf + 815
35.877 * * [simplify]: Extracting #6: cost 0 inf + 2517
35.877 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
35.877 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.877 * * * * [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))) (sqrt k)))>
35.877 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
35.877 * * [simplify]: iters left: 6 (8 enodes)
35.880 * * [simplify]: iters left: 5 (30 enodes)
35.885 * * [simplify]: iters left: 4 (35 enodes)
35.891 * * [simplify]: Extracting #0: cost 1 inf + 0
35.891 * * [simplify]: Extracting #1: cost 6 inf + 0
35.891 * * [simplify]: Extracting #2: cost 8 inf + 42
35.891 * * [simplify]: Extracting #3: cost 11 inf + 83
35.891 * * [simplify]: Extracting #4: cost 10 inf + 85
35.891 * * [simplify]: Extracting #5: cost 4 inf + 658
35.891 * * [simplify]: Extracting #6: cost 0 inf + 1227
35.891 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
35.891 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.892 * * * * [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))) (sqrt k)))>
35.892 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
35.892 * * [simplify]: iters left: 6 (8 enodes)
35.894 * * [simplify]: iters left: 5 (30 enodes)
35.900 * * [simplify]: iters left: 4 (40 enodes)
35.907 * * [simplify]: iters left: 3 (42 enodes)
35.919 * * [simplify]: Extracting #0: cost 1 inf + 0
35.919 * * [simplify]: Extracting #1: cost 8 inf + 0
35.919 * * [simplify]: Extracting #2: cost 12 inf + 42
35.919 * * [simplify]: Extracting #3: cost 13 inf + 245
35.919 * * [simplify]: Extracting #4: cost 12 inf + 247
35.920 * * [simplify]: Extracting #5: cost 5 inf + 1143
35.920 * * [simplify]: Extracting #6: cost 0 inf + 1875
35.921 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
35.921 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.921 * * * * [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))) (sqrt k)))>
35.921 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
35.921 * * [simplify]: iters left: 6 (8 enodes)
35.926 * * [simplify]: iters left: 5 (30 enodes)
35.936 * * [simplify]: iters left: 4 (40 enodes)
35.948 * * [simplify]: iters left: 3 (42 enodes)
35.959 * * [simplify]: Extracting #0: cost 1 inf + 0
35.960 * * [simplify]: Extracting #1: cost 8 inf + 0
35.960 * * [simplify]: Extracting #2: cost 11 inf + 203
35.960 * * [simplify]: Extracting #3: cost 13 inf + 405
35.960 * * [simplify]: Extracting #4: cost 12 inf + 407
35.960 * * [simplify]: Extracting #5: cost 3 inf + 1789
35.960 * * [simplify]: Extracting #6: cost 0 inf + 2195
35.961 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
35.961 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.961 * * * * [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))) (sqrt k)))>
35.961 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
35.961 * * [simplify]: iters left: 6 (8 enodes)
35.964 * * [simplify]: iters left: 5 (30 enodes)
35.972 * * [simplify]: iters left: 4 (40 enodes)
35.978 * * [simplify]: iters left: 3 (42 enodes)
35.984 * * [simplify]: Extracting #0: cost 1 inf + 0
35.985 * * [simplify]: Extracting #1: cost 8 inf + 0
35.985 * * [simplify]: Extracting #2: cost 11 inf + 123
35.985 * * [simplify]: Extracting #3: cost 13 inf + 245
35.985 * * [simplify]: Extracting #4: cost 12 inf + 247
35.985 * * [simplify]: Extracting #5: cost 3 inf + 1509
35.985 * * [simplify]: Extracting #6: cost 0 inf + 1875
35.986 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
35.986 * [simplify]: Simplified (2 1 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))) (sqrt k)))
35.986 * * * * [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))) (sqrt k)))>
35.986 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
35.986 * * [simplify]: iters left: 6 (7 enodes)
35.988 * * [simplify]: iters left: 5 (28 enodes)
35.994 * * [simplify]: iters left: 4 (35 enodes)
35.999 * * [simplify]: Extracting #0: cost 1 inf + 0
36.000 * * [simplify]: Extracting #1: cost 6 inf + 0
36.000 * * [simplify]: Extracting #2: cost 7 inf + 2
36.000 * * [simplify]: Extracting #3: cost 11 inf + 2
36.000 * * [simplify]: Extracting #4: cost 9 inf + 45
36.000 * * [simplify]: Extracting #5: cost 4 inf + 455
36.000 * * [simplify]: Extracting #6: cost 0 inf + 1066
36.000 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
36.000 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.000 * * * * [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))) (sqrt k)))>
36.001 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
36.001 * * [simplify]: iters left: 6 (8 enodes)
36.003 * * [simplify]: iters left: 5 (30 enodes)
36.009 * * [simplify]: iters left: 4 (37 enodes)
36.017 * * [simplify]: Extracting #0: cost 1 inf + 0
36.017 * * [simplify]: Extracting #1: cost 6 inf + 0
36.017 * * [simplify]: Extracting #2: cost 12 inf + 0
36.017 * * [simplify]: Extracting #3: cost 11 inf + 405
36.017 * * [simplify]: Extracting #4: cost 10 inf + 407
36.018 * * [simplify]: Extracting #5: cost 4 inf + 1100
36.018 * * [simplify]: Extracting #6: cost 0 inf + 1629
36.019 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
36.019 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.019 * * * * [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))) (sqrt k)))>
36.019 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
36.020 * * [simplify]: iters left: 6 (9 enodes)
36.025 * * [simplify]: iters left: 5 (33 enodes)
36.037 * * [simplify]: iters left: 4 (43 enodes)
36.050 * * [simplify]: iters left: 3 (45 enodes)
36.064 * * [simplify]: Extracting #0: cost 1 inf + 0
36.064 * * [simplify]: Extracting #1: cost 8 inf + 0
36.064 * * [simplify]: Extracting #2: cost 16 inf + 0
36.064 * * [simplify]: Extracting #3: cost 16 inf + 284
36.064 * * [simplify]: Extracting #4: cost 11 inf + 610
36.065 * * [simplify]: Extracting #5: cost 8 inf + 775
36.065 * * [simplify]: Extracting #6: cost 0 inf + 2197
36.066 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
36.066 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.066 * * * * [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))) (sqrt k)))>
36.067 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
36.067 * * [simplify]: iters left: 6 (8 enodes)
36.072 * * [simplify]: iters left: 5 (30 enodes)
36.082 * * [simplify]: iters left: 4 (40 enodes)
36.096 * * [simplify]: iters left: 3 (42 enodes)
36.107 * * [simplify]: Extracting #0: cost 1 inf + 0
36.107 * * [simplify]: Extracting #1: cost 8 inf + 0
36.108 * * [simplify]: Extracting #2: cost 12 inf + 82
36.108 * * [simplify]: Extracting #3: cost 13 inf + 405
36.108 * * [simplify]: Extracting #4: cost 12 inf + 407
36.108 * * [simplify]: Extracting #5: cost 5 inf + 1223
36.109 * * [simplify]: Extracting #6: cost 0 inf + 1875
36.109 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
36.109 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.109 * * * * [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))) (sqrt k)))>
36.110 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
36.110 * * [simplify]: iters left: 6 (9 enodes)
36.115 * * [simplify]: iters left: 5 (33 enodes)
36.125 * * [simplify]: iters left: 4 (43 enodes)
36.137 * * [simplify]: iters left: 3 (45 enodes)
36.149 * * [simplify]: Extracting #0: cost 1 inf + 0
36.149 * * [simplify]: Extracting #1: cost 8 inf + 0
36.149 * * [simplify]: Extracting #2: cost 16 inf + 0
36.149 * * [simplify]: Extracting #3: cost 16 inf + 284
36.150 * * [simplify]: Extracting #4: cost 11 inf + 610
36.150 * * [simplify]: Extracting #5: cost 8 inf + 775
36.150 * * [simplify]: Extracting #6: cost 0 inf + 2197
36.151 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
36.151 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.151 * * * * [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))) (sqrt k)))>
36.152 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
36.152 * * [simplify]: iters left: 6 (8 enodes)
36.156 * * [simplify]: iters left: 5 (30 enodes)
36.165 * * [simplify]: iters left: 4 (35 enodes)
36.174 * * [simplify]: Extracting #0: cost 1 inf + 0
36.174 * * [simplify]: Extracting #1: cost 6 inf + 0
36.174 * * [simplify]: Extracting #2: cost 8 inf + 42
36.174 * * [simplify]: Extracting #3: cost 11 inf + 83
36.174 * * [simplify]: Extracting #4: cost 10 inf + 85
36.175 * * [simplify]: Extracting #5: cost 4 inf + 538
36.175 * * [simplify]: Extracting #6: cost 0 inf + 987
36.175 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
36.175 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.176 * * * * [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))) (sqrt k)))>
36.176 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
36.176 * * [simplify]: iters left: 6 (8 enodes)
36.180 * * [simplify]: iters left: 5 (30 enodes)
36.190 * * [simplify]: iters left: 4 (40 enodes)
36.203 * * [simplify]: iters left: 3 (42 enodes)
36.215 * * [simplify]: Extracting #0: cost 1 inf + 0
36.215 * * [simplify]: Extracting #1: cost 8 inf + 0
36.215 * * [simplify]: Extracting #2: cost 12 inf + 42
36.216 * * [simplify]: Extracting #3: cost 13 inf + 245
36.216 * * [simplify]: Extracting #4: cost 12 inf + 247
36.216 * * [simplify]: Extracting #5: cost 5 inf + 983
36.217 * * [simplify]: Extracting #6: cost 0 inf + 1555
36.217 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
36.217 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.217 * * * * [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))) (sqrt k)))>
36.218 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
36.218 * * [simplify]: iters left: 6 (8 enodes)
36.223 * * [simplify]: iters left: 5 (30 enodes)
36.233 * * [simplify]: iters left: 4 (40 enodes)
36.249 * * [simplify]: iters left: 3 (42 enodes)
36.262 * * [simplify]: Extracting #0: cost 1 inf + 0
36.262 * * [simplify]: Extracting #1: cost 8 inf + 0
36.262 * * [simplify]: Extracting #2: cost 11 inf + 203
36.262 * * [simplify]: Extracting #3: cost 13 inf + 405
36.262 * * [simplify]: Extracting #4: cost 12 inf + 407
36.263 * * [simplify]: Extracting #5: cost 3 inf + 1549
36.263 * * [simplify]: Extracting #6: cost 0 inf + 1875
36.264 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
36.264 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.264 * * * * [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))) (sqrt k)))>
36.265 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
36.265 * * [simplify]: iters left: 6 (8 enodes)
36.270 * * [simplify]: iters left: 5 (30 enodes)
36.281 * * [simplify]: iters left: 4 (40 enodes)
36.293 * * [simplify]: iters left: 3 (42 enodes)
36.306 * * [simplify]: Extracting #0: cost 1 inf + 0
36.306 * * [simplify]: Extracting #1: cost 8 inf + 0
36.306 * * [simplify]: Extracting #2: cost 11 inf + 123
36.306 * * [simplify]: Extracting #3: cost 13 inf + 245
36.306 * * [simplify]: Extracting #4: cost 12 inf + 247
36.307 * * [simplify]: Extracting #5: cost 3 inf + 1269
36.307 * * [simplify]: Extracting #6: cost 0 inf + 1555
36.308 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
36.308 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.308 * * * * [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))) (sqrt k)))>
36.309 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
36.309 * * [simplify]: iters left: 6 (7 enodes)
36.313 * * [simplify]: iters left: 5 (28 enodes)
36.319 * * [simplify]: iters left: 4 (35 enodes)
36.325 * * [simplify]: Extracting #0: cost 1 inf + 0
36.325 * * [simplify]: Extracting #1: cost 6 inf + 0
36.325 * * [simplify]: Extracting #2: cost 7 inf + 2
36.325 * * [simplify]: Extracting #3: cost 11 inf + 2
36.325 * * [simplify]: Extracting #4: cost 9 inf + 45
36.325 * * [simplify]: Extracting #5: cost 4 inf + 375
36.325 * * [simplify]: Extracting #6: cost 0 inf + 826
36.325 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
36.325 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.326 * * * * [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))) (sqrt k)))>
36.326 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
36.326 * * [simplify]: iters left: 6 (7 enodes)
36.328 * * [simplify]: iters left: 5 (30 enodes)
36.334 * * [simplify]: iters left: 4 (49 enodes)
36.342 * * [simplify]: iters left: 3 (59 enodes)
36.358 * * [simplify]: iters left: 2 (64 enodes)
36.370 * * [simplify]: Extracting #0: cost 1 inf + 0
36.371 * * [simplify]: Extracting #1: cost 9 inf + 0
36.371 * * [simplify]: Extracting #2: cost 23 inf + 0
36.371 * * [simplify]: Extracting #3: cost 24 inf + 3
36.371 * * [simplify]: Extracting #4: cost 15 inf + 980
36.371 * * [simplify]: Extracting #5: cost 1 inf + 3007
36.372 * * [simplify]: Extracting #6: cost 0 inf + 3169
36.372 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
36.372 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.372 * * * * [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))) (sqrt k)))>
36.373 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
36.373 * * [simplify]: iters left: 6 (8 enodes)
36.376 * * [simplify]: iters left: 5 (33 enodes)
36.382 * * [simplify]: iters left: 4 (55 enodes)
36.392 * * [simplify]: iters left: 3 (72 enodes)
36.404 * * [simplify]: iters left: 2 (84 enodes)
36.427 * * [simplify]: iters left: 1 (88 enodes)
36.451 * * [simplify]: Extracting #0: cost 1 inf + 0
36.451 * * [simplify]: Extracting #1: cost 11 inf + 0
36.451 * * [simplify]: Extracting #2: cost 30 inf + 0
36.451 * * [simplify]: Extracting #3: cost 33 inf + 84
36.452 * * [simplify]: Extracting #4: cost 12 inf + 2402
36.453 * * [simplify]: Extracting #5: cost 0 inf + 4469
36.455 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
36.455 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.455 * * * * [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))) (sqrt k)))>
36.456 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
36.456 * * [simplify]: iters left: 6 (7 enodes)
36.460 * * [simplify]: iters left: 5 (30 enodes)
36.470 * * [simplify]: iters left: 4 (52 enodes)
36.479 * * [simplify]: iters left: 3 (70 enodes)
36.492 * * [simplify]: iters left: 2 (81 enodes)
36.503 * * [simplify]: iters left: 1 (84 enodes)
36.515 * * [simplify]: Extracting #0: cost 1 inf + 0
36.515 * * [simplify]: Extracting #1: cost 11 inf + 0
36.515 * * [simplify]: Extracting #2: cost 25 inf + 203
36.515 * * [simplify]: Extracting #3: cost 25 inf + 530
36.516 * * [simplify]: Extracting #4: cost 4 inf + 2936
36.516 * * [simplify]: Extracting #5: cost 0 inf + 3504
36.517 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
36.517 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.517 * * * * [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))) (sqrt k)))>
36.517 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
36.517 * * [simplify]: iters left: 6 (8 enodes)
36.520 * * [simplify]: iters left: 5 (33 enodes)
36.527 * * [simplify]: iters left: 4 (55 enodes)
36.536 * * [simplify]: iters left: 3 (72 enodes)
36.547 * * [simplify]: iters left: 2 (84 enodes)
36.559 * * [simplify]: iters left: 1 (88 enodes)
36.574 * * [simplify]: Extracting #0: cost 1 inf + 0
36.574 * * [simplify]: Extracting #1: cost 11 inf + 0
36.574 * * [simplify]: Extracting #2: cost 30 inf + 0
36.574 * * [simplify]: Extracting #3: cost 33 inf + 44
36.575 * * [simplify]: Extracting #4: cost 12 inf + 2362
36.575 * * [simplify]: Extracting #5: cost 0 inf + 4469
36.576 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
36.576 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.576 * * * * [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))) (sqrt k)))>
36.576 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
36.576 * * [simplify]: iters left: 6 (7 enodes)
36.579 * * [simplify]: iters left: 5 (30 enodes)
36.589 * * [simplify]: iters left: 4 (48 enodes)
36.600 * * [simplify]: iters left: 3 (56 enodes)
36.609 * * [simplify]: Extracting #0: cost 1 inf + 0
36.609 * * [simplify]: Extracting #1: cost 8 inf + 0
36.609 * * [simplify]: Extracting #2: cost 15 inf + 43
36.609 * * [simplify]: Extracting #3: cost 16 inf + 86
36.609 * * [simplify]: Extracting #4: cost 5 inf + 911
36.609 * * [simplify]: Extracting #5: cost 1 inf + 1198
36.610 * * [simplify]: Extracting #6: cost 0 inf + 1320
36.610 * [simplify]: Simplified to (/ (- 1 k) 2)
36.610 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.610 * * * * [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))) (sqrt k)))>
36.610 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
36.610 * * [simplify]: iters left: 6 (7 enodes)
36.613 * * [simplify]: iters left: 5 (30 enodes)
36.618 * * [simplify]: iters left: 4 (52 enodes)
36.627 * * [simplify]: iters left: 3 (70 enodes)
36.638 * * [simplify]: iters left: 2 (81 enodes)
36.652 * * [simplify]: iters left: 1 (84 enodes)
36.678 * * [simplify]: Extracting #0: cost 1 inf + 0
36.678 * * [simplify]: Extracting #1: cost 11 inf + 0
36.678 * * [simplify]: Extracting #2: cost 25 inf + 123
36.679 * * [simplify]: Extracting #3: cost 25 inf + 330
36.680 * * [simplify]: Extracting #4: cost 4 inf + 2256
36.681 * * [simplify]: Extracting #5: cost 0 inf + 2704
36.682 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
36.682 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.682 * * * * [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))) (sqrt k)))>
36.683 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
36.683 * * [simplify]: iters left: 6 (7 enodes)
36.688 * * [simplify]: iters left: 5 (31 enodes)
36.698 * * [simplify]: iters left: 4 (51 enodes)
36.714 * * [simplify]: iters left: 3 (64 enodes)
36.728 * * [simplify]: iters left: 2 (77 enodes)
36.739 * * [simplify]: iters left: 1 (84 enodes)
36.750 * * [simplify]: Extracting #0: cost 1 inf + 0
36.750 * * [simplify]: Extracting #1: cost 11 inf + 0
36.750 * * [simplify]: Extracting #2: cost 26 inf + 82
36.750 * * [simplify]: Extracting #3: cost 24 inf + 692
36.750 * * [simplify]: Extracting #4: cost 3 inf + 3057
36.751 * * [simplify]: Extracting #5: cost 0 inf + 3504
36.752 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
36.752 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.752 * * * * [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))) (sqrt k)))>
36.752 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
36.752 * * [simplify]: iters left: 6 (7 enodes)
36.754 * * [simplify]: iters left: 5 (31 enodes)
36.764 * * [simplify]: iters left: 4 (51 enodes)
36.779 * * [simplify]: iters left: 3 (64 enodes)
36.801 * * [simplify]: iters left: 2 (77 enodes)
36.823 * * [simplify]: iters left: 1 (84 enodes)
36.845 * * [simplify]: Extracting #0: cost 1 inf + 0
36.845 * * [simplify]: Extracting #1: cost 11 inf + 0
36.845 * * [simplify]: Extracting #2: cost 26 inf + 42
36.846 * * [simplify]: Extracting #3: cost 24 inf + 452
36.846 * * [simplify]: Extracting #4: cost 3 inf + 2337
36.848 * * [simplify]: Extracting #5: cost 0 inf + 2704
36.849 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
36.849 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.849 * * * * [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))) (sqrt k)))>
36.850 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
36.850 * * [simplify]: iters left: 6 (6 enodes)
36.853 * * [simplify]: iters left: 5 (29 enodes)
36.859 * * [simplify]: iters left: 4 (44 enodes)
36.865 * * [simplify]: iters left: 3 (50 enodes)
36.873 * * [simplify]: iters left: 2 (57 enodes)
36.882 * * [simplify]: Extracting #0: cost 1 inf + 0
36.882 * * [simplify]: Extracting #1: cost 9 inf + 0
36.882 * * [simplify]: Extracting #2: cost 15 inf + 3
36.882 * * [simplify]: Extracting #3: cost 11 inf + 131
36.882 * * [simplify]: Extracting #4: cost 2 inf + 711
36.882 * * [simplify]: Extracting #5: cost 0 inf + 836
36.882 * [simplify]: Simplified to (- 1/4 (/ k 4))
36.882 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.883 * * * * [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))) (sqrt k)))>
36.883 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
36.883 * * [simplify]: iters left: 6 (9 enodes)
36.887 * * [simplify]: iters left: 5 (36 enodes)
36.899 * * [simplify]: iters left: 4 (58 enodes)
36.921 * * [simplify]: iters left: 3 (71 enodes)
36.940 * * [simplify]: iters left: 2 (79 enodes)
36.954 * * [simplify]: iters left: 1 (80 enodes)
36.964 * * [simplify]: Extracting #0: cost 1 inf + 0
36.964 * * [simplify]: Extracting #1: cost 9 inf + 0
36.964 * * [simplify]: Extracting #2: cost 24 inf + 0
36.964 * * [simplify]: Extracting #3: cost 29 inf + 2
36.965 * * [simplify]: Extracting #4: cost 10 inf + 2233
36.965 * * [simplify]: Extracting #5: cost 1 inf + 4013
36.966 * * [simplify]: Extracting #6: cost 0 inf + 4135
36.967 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
36.967 * [simplify]: Simplified (2 1 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))) (sqrt k)))
36.967 * * * * [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))) (sqrt k)))>
36.967 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
36.967 * * [simplify]: iters left: 6 (10 enodes)
36.971 * * [simplify]: iters left: 5 (39 enodes)
36.977 * * [simplify]: iters left: 4 (64 enodes)
36.988 * * [simplify]: iters left: 3 (86 enodes)
37.000 * * [simplify]: iters left: 2 (99 enodes)
37.025 * * [simplify]: iters left: 1 (104 enodes)
37.046 * * [simplify]: Extracting #0: cost 1 inf + 0
37.046 * * [simplify]: Extracting #1: cost 11 inf + 0
37.046 * * [simplify]: Extracting #2: cost 31 inf + 0
37.046 * * [simplify]: Extracting #3: cost 39 inf + 2
37.046 * * [simplify]: Extracting #4: cost 22 inf + 1871
37.047 * * [simplify]: Extracting #5: cost 4 inf + 4865
37.048 * * [simplify]: Extracting #6: cost 0 inf + 5675
37.049 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
37.049 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.049 * * * * [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))) (sqrt k)))>
37.049 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
37.049 * * [simplify]: iters left: 6 (9 enodes)
37.052 * * [simplify]: iters left: 5 (36 enodes)
37.058 * * [simplify]: iters left: 4 (61 enodes)
37.067 * * [simplify]: iters left: 3 (84 enodes)
37.085 * * [simplify]: iters left: 2 (96 enodes)
37.110 * * [simplify]: iters left: 1 (100 enodes)
37.135 * * [simplify]: Extracting #0: cost 1 inf + 0
37.135 * * [simplify]: Extracting #1: cost 11 inf + 0
37.135 * * [simplify]: Extracting #2: cost 27 inf + 82
37.135 * * [simplify]: Extracting #3: cost 29 inf + 651
37.136 * * [simplify]: Extracting #4: cost 12 inf + 2763
37.136 * * [simplify]: Extracting #5: cost 1 inf + 4587
37.137 * * [simplify]: Extracting #6: cost 0 inf + 4710
37.138 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
37.138 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.138 * * * * [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))) (sqrt k)))>
37.138 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
37.138 * * [simplify]: iters left: 6 (10 enodes)
37.142 * * [simplify]: iters left: 5 (39 enodes)
37.149 * * [simplify]: iters left: 4 (64 enodes)
37.159 * * [simplify]: iters left: 3 (86 enodes)
37.181 * * [simplify]: iters left: 2 (99 enodes)
37.207 * * [simplify]: iters left: 1 (104 enodes)
37.225 * * [simplify]: Extracting #0: cost 1 inf + 0
37.225 * * [simplify]: Extracting #1: cost 11 inf + 0
37.225 * * [simplify]: Extracting #2: cost 31 inf + 0
37.225 * * [simplify]: Extracting #3: cost 39 inf + 2
37.226 * * [simplify]: Extracting #4: cost 22 inf + 1831
37.226 * * [simplify]: Extracting #5: cost 4 inf + 4785
37.227 * * [simplify]: Extracting #6: cost 0 inf + 5595
37.228 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
37.228 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.228 * * * * [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))) (sqrt k)))>
37.229 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
37.229 * * [simplify]: iters left: 6 (9 enodes)
37.232 * * [simplify]: iters left: 5 (36 enodes)
37.240 * * [simplify]: iters left: 4 (57 enodes)
37.251 * * [simplify]: iters left: 3 (73 enodes)
37.270 * * [simplify]: iters left: 2 (80 enodes)
37.283 * * [simplify]: iters left: 1 (81 enodes)
37.293 * * [simplify]: Extracting #0: cost 1 inf + 0
37.293 * * [simplify]: Extracting #1: cost 9 inf + 0
37.293 * * [simplify]: Extracting #2: cost 18 inf + 43
37.293 * * [simplify]: Extracting #3: cost 23 inf + 85
37.293 * * [simplify]: Extracting #4: cost 9 inf + 1271
37.294 * * [simplify]: Extracting #5: cost 0 inf + 2370
37.294 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
37.294 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.294 * * * * [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))) (sqrt k)))>
37.295 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
37.295 * * [simplify]: iters left: 6 (9 enodes)
37.298 * * [simplify]: iters left: 5 (36 enodes)
37.303 * * [simplify]: iters left: 4 (61 enodes)
37.313 * * [simplify]: iters left: 3 (84 enodes)
37.334 * * [simplify]: iters left: 2 (96 enodes)
37.349 * * [simplify]: iters left: 1 (100 enodes)
37.361 * * [simplify]: Extracting #0: cost 1 inf + 0
37.361 * * [simplify]: Extracting #1: cost 11 inf + 0
37.361 * * [simplify]: Extracting #2: cost 27 inf + 42
37.361 * * [simplify]: Extracting #3: cost 29 inf + 411
37.361 * * [simplify]: Extracting #4: cost 12 inf + 2163
37.362 * * [simplify]: Extracting #5: cost 1 inf + 3707
37.363 * * [simplify]: Extracting #6: cost 0 inf + 3830
37.363 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
37.364 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.364 * * * * [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))) (sqrt k)))>
37.364 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
37.364 * * [simplify]: iters left: 6 (9 enodes)
37.367 * * [simplify]: iters left: 5 (36 enodes)
37.374 * * [simplify]: iters left: 4 (62 enodes)
37.388 * * [simplify]: iters left: 3 (78 enodes)
37.399 * * [simplify]: iters left: 2 (90 enodes)
37.411 * * [simplify]: iters left: 1 (94 enodes)
37.428 * * [simplify]: Extracting #0: cost 1 inf + 0
37.428 * * [simplify]: Extracting #1: cost 11 inf + 0
37.428 * * [simplify]: Extracting #2: cost 27 inf + 1
37.428 * * [simplify]: Extracting #3: cost 29 inf + 409
37.429 * * [simplify]: Extracting #4: cost 12 inf + 2359
37.430 * * [simplify]: Extracting #5: cost 2 inf + 4022
37.431 * * [simplify]: Extracting #6: cost 0 inf + 4466
37.432 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
37.432 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.432 * * * * [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))) (sqrt k)))>
37.433 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
37.433 * * [simplify]: iters left: 6 (9 enodes)
37.436 * * [simplify]: iters left: 5 (36 enodes)
37.442 * * [simplify]: iters left: 4 (62 enodes)
37.451 * * [simplify]: iters left: 3 (78 enodes)
37.462 * * [simplify]: iters left: 2 (90 enodes)
37.474 * * [simplify]: iters left: 1 (94 enodes)
37.486 * * [simplify]: Extracting #0: cost 1 inf + 0
37.486 * * [simplify]: Extracting #1: cost 11 inf + 0
37.486 * * [simplify]: Extracting #2: cost 27 inf + 1
37.486 * * [simplify]: Extracting #3: cost 29 inf + 249
37.486 * * [simplify]: Extracting #4: cost 12 inf + 1879
37.487 * * [simplify]: Extracting #5: cost 2 inf + 3302
37.488 * * [simplify]: Extracting #6: cost 0 inf + 3666
37.489 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
37.489 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.489 * * * * [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))) (sqrt k)))>
37.489 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
37.489 * * [simplify]: iters left: 6 (8 enodes)
37.492 * * [simplify]: iters left: 5 (34 enodes)
37.505 * * [simplify]: iters left: 4 (58 enodes)
37.523 * * [simplify]: iters left: 3 (65 enodes)
37.539 * * [simplify]: Extracting #0: cost 1 inf + 0
37.540 * * [simplify]: Extracting #1: cost 8 inf + 0
37.540 * * [simplify]: Extracting #2: cost 14 inf + 3
37.540 * * [simplify]: Extracting #3: cost 17 inf + 5
37.540 * * [simplify]: Extracting #4: cost 12 inf + 292
37.540 * * [simplify]: Extracting #5: cost 1 inf + 1355
37.541 * * [simplify]: Extracting #6: cost 0 inf + 1478
37.542 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
37.542 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.542 * * * * [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))) (sqrt k)))>
37.542 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
37.542 * * [simplify]: iters left: 6 (8 enodes)
37.547 * * [simplify]: iters left: 5 (33 enodes)
37.558 * * [simplify]: iters left: 4 (52 enodes)
37.575 * * [simplify]: iters left: 3 (62 enodes)
37.592 * * [simplify]: iters left: 2 (67 enodes)
37.611 * * [simplify]: Extracting #0: cost 1 inf + 0
37.611 * * [simplify]: Extracting #1: cost 9 inf + 0
37.611 * * [simplify]: Extracting #2: cost 23 inf + 0
37.611 * * [simplify]: Extracting #3: cost 24 inf + 285
37.611 * * [simplify]: Extracting #4: cost 18 inf + 975
37.612 * * [simplify]: Extracting #5: cost 7 inf + 2516
37.613 * * [simplify]: Extracting #6: cost 0 inf + 3891
37.614 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
37.614 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.615 * * * * [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))) (sqrt k)))>
37.615 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
37.615 * * [simplify]: iters left: 6 (9 enodes)
37.620 * * [simplify]: iters left: 5 (36 enodes)
37.633 * * [simplify]: iters left: 4 (58 enodes)
37.651 * * [simplify]: iters left: 3 (75 enodes)
37.670 * * [simplify]: iters left: 2 (87 enodes)
37.685 * * [simplify]: iters left: 1 (91 enodes)
37.709 * * [simplify]: Extracting #0: cost 1 inf + 0
37.709 * * [simplify]: Extracting #1: cost 11 inf + 0
37.709 * * [simplify]: Extracting #2: cost 30 inf + 0
37.709 * * [simplify]: Extracting #3: cost 36 inf + 83
37.709 * * [simplify]: Extracting #4: cost 30 inf + 451
37.710 * * [simplify]: Extracting #5: cost 10 inf + 3649
37.712 * * [simplify]: Extracting #6: cost 0 inf + 5431
37.714 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
37.714 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.714 * * * * [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))) (sqrt k)))>
37.714 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
37.714 * * [simplify]: iters left: 6 (8 enodes)
37.719 * * [simplify]: iters left: 5 (33 enodes)
37.729 * * [simplify]: iters left: 4 (55 enodes)
37.738 * * [simplify]: iters left: 3 (73 enodes)
37.749 * * [simplify]: iters left: 2 (84 enodes)
37.764 * * [simplify]: iters left: 1 (87 enodes)
37.790 * * [simplify]: Extracting #0: cost 1 inf + 0
37.790 * * [simplify]: Extracting #1: cost 11 inf + 0
37.790 * * [simplify]: Extracting #2: cost 25 inf + 203
37.790 * * [simplify]: Extracting #3: cost 29 inf + 407
37.791 * * [simplify]: Extracting #4: cost 24 inf + 896
37.791 * * [simplify]: Extracting #5: cost 9 inf + 2805
37.792 * * [simplify]: Extracting #6: cost 0 inf + 4466
37.793 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
37.793 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.793 * * * * [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))) (sqrt k)))>
37.794 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
37.794 * * [simplify]: iters left: 6 (9 enodes)
37.796 * * [simplify]: iters left: 5 (36 enodes)
37.803 * * [simplify]: iters left: 4 (58 enodes)
37.812 * * [simplify]: iters left: 3 (75 enodes)
37.825 * * [simplify]: iters left: 2 (87 enodes)
37.850 * * [simplify]: iters left: 1 (91 enodes)
37.875 * * [simplify]: Extracting #0: cost 1 inf + 0
37.875 * * [simplify]: Extracting #1: cost 11 inf + 0
37.875 * * [simplify]: Extracting #2: cost 30 inf + 0
37.876 * * [simplify]: Extracting #3: cost 36 inf + 43
37.876 * * [simplify]: Extracting #4: cost 30 inf + 451
37.877 * * [simplify]: Extracting #5: cost 10 inf + 3769
37.879 * * [simplify]: Extracting #6: cost 0 inf + 5431
37.880 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
37.880 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.881 * * * * [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))) (sqrt k)))>
37.881 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
37.881 * * [simplify]: iters left: 6 (8 enodes)
37.886 * * [simplify]: iters left: 5 (33 enodes)
37.898 * * [simplify]: iters left: 4 (51 enodes)
37.915 * * [simplify]: iters left: 3 (59 enodes)
37.924 * * [simplify]: Extracting #0: cost 1 inf + 0
37.924 * * [simplify]: Extracting #1: cost 8 inf + 0
37.924 * * [simplify]: Extracting #2: cost 15 inf + 43
37.925 * * [simplify]: Extracting #3: cost 19 inf + 85
37.925 * * [simplify]: Extracting #4: cost 16 inf + 250
37.925 * * [simplify]: Extracting #5: cost 5 inf + 1311
37.925 * * [simplify]: Extracting #6: cost 0 inf + 1962
37.926 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
37.926 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.926 * * * * [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))) (sqrt k)))>
37.926 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
37.926 * * [simplify]: iters left: 6 (8 enodes)
37.929 * * [simplify]: iters left: 5 (33 enodes)
37.935 * * [simplify]: iters left: 4 (55 enodes)
37.944 * * [simplify]: iters left: 3 (73 enodes)
37.955 * * [simplify]: iters left: 2 (84 enodes)
37.966 * * [simplify]: iters left: 1 (87 enodes)
37.978 * * [simplify]: Extracting #0: cost 1 inf + 0
37.978 * * [simplify]: Extracting #1: cost 11 inf + 0
37.978 * * [simplify]: Extracting #2: cost 25 inf + 123
37.978 * * [simplify]: Extracting #3: cost 29 inf + 247
37.978 * * [simplify]: Extracting #4: cost 24 inf + 576
37.979 * * [simplify]: Extracting #5: cost 9 inf + 2245
37.979 * * [simplify]: Extracting #6: cost 0 inf + 3666
37.980 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
37.980 * [simplify]: Simplified (2 1 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))) (sqrt k)))
37.980 * * * * [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))) (sqrt k)))>
37.980 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
37.980 * * [simplify]: iters left: 6 (8 enodes)
37.983 * * [simplify]: iters left: 5 (34 enodes)
37.992 * * [simplify]: iters left: 4 (54 enodes)
38.000 * * [simplify]: iters left: 3 (67 enodes)
38.010 * * [simplify]: iters left: 2 (80 enodes)
38.021 * * [simplify]: iters left: 1 (87 enodes)
38.040 * * [simplify]: Extracting #0: cost 1 inf + 0
38.041 * * [simplify]: Extracting #1: cost 11 inf + 0
38.041 * * [simplify]: Extracting #2: cost 25 inf + 203
38.041 * * [simplify]: Extracting #3: cost 26 inf + 773
38.041 * * [simplify]: Extracting #4: cost 24 inf + 896
38.042 * * [simplify]: Extracting #5: cost 8 inf + 3127
38.043 * * [simplify]: Extracting #6: cost 0 inf + 4466
38.045 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
38.045 * [simplify]: Simplified (2 1 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))) (sqrt k)))
38.046 * * * * [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))) (sqrt k)))>
38.046 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
38.046 * * [simplify]: iters left: 6 (8 enodes)
38.051 * * [simplify]: iters left: 5 (34 enodes)
38.062 * * [simplify]: iters left: 4 (54 enodes)
38.079 * * [simplify]: iters left: 3 (67 enodes)
38.099 * * [simplify]: iters left: 2 (80 enodes)
38.125 * * [simplify]: iters left: 1 (87 enodes)
38.148 * * [simplify]: Extracting #0: cost 1 inf + 0
38.148 * * [simplify]: Extracting #1: cost 11 inf + 0
38.148 * * [simplify]: Extracting #2: cost 25 inf + 123
38.149 * * [simplify]: Extracting #3: cost 26 inf + 493
38.149 * * [simplify]: Extracting #4: cost 24 inf + 576
38.150 * * [simplify]: Extracting #5: cost 8 inf + 2527
38.151 * * [simplify]: Extracting #6: cost 0 inf + 3666
38.153 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
38.153 * [simplify]: Simplified (2 1 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))) (sqrt k)))
38.153 * * * * [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))) (sqrt k)))>
38.153 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
38.153 * * [simplify]: iters left: 6 (7 enodes)
38.159 * * [simplify]: iters left: 5 (32 enodes)
38.170 * * [simplify]: iters left: 4 (50 enodes)
38.184 * * [simplify]: iters left: 3 (54 enodes)
38.200 * * [simplify]: Extracting #0: cost 1 inf + 0
38.200 * * [simplify]: Extracting #1: cost 8 inf + 0
38.200 * * [simplify]: Extracting #2: cost 13 inf + 3
38.200 * * [simplify]: Extracting #3: cost 15 inf + 5
38.200 * * [simplify]: Extracting #4: cost 14 inf + 6
38.200 * * [simplify]: Extracting #5: cost 4 inf + 825
38.201 * * [simplify]: Extracting #6: cost 0 inf + 1234
38.201 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
38.201 * [simplify]: Simplified (2 1 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))) (sqrt k)))
38.202 * * * * [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))) (sqrt k)))>
38.202 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
38.202 * * [simplify]: iters left: 6 (7 enodes)
38.206 * * [simplify]: iters left: 5 (30 enodes)
38.217 * * [simplify]: iters left: 4 (49 enodes)
38.226 * * [simplify]: iters left: 3 (59 enodes)
38.235 * * [simplify]: iters left: 2 (64 enodes)
38.247 * * [simplify]: Extracting #0: cost 1 inf + 0
38.247 * * [simplify]: Extracting #1: cost 9 inf + 0
38.247 * * [simplify]: Extracting #2: cost 23 inf + 0
38.247 * * [simplify]: Extracting #3: cost 24 inf + 3
38.247 * * [simplify]: Extracting #4: cost 15 inf + 980
38.248 * * [simplify]: Extracting #5: cost 1 inf + 3007
38.249 * * [simplify]: Extracting #6: cost 0 inf + 3169
38.250 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
38.250 * [simplify]: Simplified (2 1 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))) (sqrt k)))
38.250 * * * * [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))) (sqrt k)))>
38.251 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
38.251 * * [simplify]: iters left: 6 (8 enodes)
38.256 * * [simplify]: iters left: 5 (33 enodes)
38.268 * * [simplify]: iters left: 4 (55 enodes)
38.286 * * [simplify]: iters left: 3 (72 enodes)
38.307 * * [simplify]: iters left: 2 (84 enodes)
38.331 * * [simplify]: iters left: 1 (88 enodes)
38.345 * * [simplify]: Extracting #0: cost 1 inf + 0
38.345 * * [simplify]: Extracting #1: cost 11 inf + 0
38.345 * * [simplify]: Extracting #2: cost 30 inf + 0
38.345 * * [simplify]: Extracting #3: cost 33 inf + 84
38.345 * * [simplify]: Extracting #4: cost 12 inf + 2402
38.346 * * [simplify]: Extracting #5: cost 0 inf + 4469
38.347 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
38.347 * [simplify]: Simplified (2 1 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))) (sqrt k)))
38.347 * * * * [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))) (sqrt k)))>
38.347 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
38.348 * * [simplify]: iters left: 6 (7 enodes)
38.350 * * [simplify]: iters left: 5 (30 enodes)
38.355 * * [simplify]: iters left: 4 (52 enodes)
38.364 * * [simplify]: iters left: 3 (70 enodes)
38.376 * * [simplify]: iters left: 2 (81 enodes)
38.388 * * [simplify]: iters left: 1 (84 enodes)
38.398 * * [simplify]: Extracting #0: cost 1 inf + 0
38.398 * * [simplify]: Extracting #1: cost 11 inf + 0
38.398 * * [simplify]: Extracting #2: cost 25 inf + 203
38.398 * * [simplify]: Extracting #3: cost 25 inf + 530
38.399 * * [simplify]: Extracting #4: cost 4 inf + 2936
38.399 * * [simplify]: Extracting #5: cost 0 inf + 3504
38.400 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
38.400 * [simplify]: Simplified (2 1 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))) (sqrt k)))
38.400 * * * * [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))) (sqrt k)))>
38.400 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
38.401 * * [simplify]: iters left: 6 (8 enodes)
38.403 * * [simplify]: iters left: 5 (33 enodes)
38.410 * * [simplify]: iters left: 4 (55 enodes)
38.425 * * [simplify]: iters left: 3 (72 enodes)
38.445 * * [simplify]: iters left: 2 (84 enodes)
38.456 * * [simplify]: iters left: 1 (88 enodes)
38.479 * * [simplify]: Extracting #0: cost 1 inf + 0
38.479 * * [simplify]: Extracting #1: cost 11 inf + 0
38.479 * * [simplify]: Extracting #2: cost 30 inf + 0
38.479 * * [simplify]: Extracting #3: cost 33 inf + 44
38.480 * * [simplify]: Extracting #4: cost 12 inf + 2362
38.482 * * [simplify]: Extracting #5: cost 0 inf + 4469
38.483 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
38.483 * [simplify]: Simplified (2 1 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))) (sqrt k)))
38.483 * * * * [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))) (sqrt k)))>
38.484 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
38.484 * * [simplify]: iters left: 6 (7 enodes)
38.489 * * [simplify]: iters left: 5 (30 enodes)
38.499 * * [simplify]: iters left: 4 (48 enodes)
38.513 * * [simplify]: iters left: 3 (56 enodes)
38.521 * * [simplify]: Extracting #0: cost 1 inf + 0
38.521 * * [simplify]: Extracting #1: cost 8 inf + 0
38.521 * * [simplify]: Extracting #2: cost 15 inf + 43
38.521 * * [simplify]: Extracting #3: cost 16 inf + 86
38.521 * * [simplify]: Extracting #4: cost 5 inf + 911
38.521 * * [simplify]: Extracting #5: cost 1 inf + 1198
38.522 * * [simplify]: Extracting #6: cost 0 inf + 1320
38.522 * [simplify]: Simplified to (/ (- 1 k) 2)
38.522 * [simplify]: Simplified (2 1 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))) (sqrt k)))
38.522 * * * * [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))) (sqrt k)))>
38.522 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
38.522 * * [simplify]: iters left: 6 (7 enodes)
38.526 * * [simplify]: iters left: 5 (30 enodes)
38.536 * * [simplify]: iters left: 4 (52 enodes)
38.553 * * [simplify]: iters left: 3 (70 enodes)
38.573 * * [simplify]: iters left: 2 (81 enodes)
38.595 * * [simplify]: iters left: 1 (84 enodes)
38.620 * * [simplify]: Extracting #0: cost 1 inf + 0
38.621 * * [simplify]: Extracting #1: cost 11 inf + 0
38.621 * * [simplify]: Extracting #2: cost 25 inf + 123
38.621 * * [simplify]: Extracting #3: cost 25 inf + 330
38.622 * * [simplify]: Extracting #4: cost 4 inf + 2256
38.623 * * [simplify]: Extracting #5: cost 0 inf + 2704
38.624 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
38.624 * [simplify]: Simplified (2 1 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))) (sqrt k)))
38.624 * * * * [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))) (sqrt k)))>
38.625 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
38.625 * * [simplify]: iters left: 6 (7 enodes)
38.630 * * [simplify]: iters left: 5 (31 enodes)
38.640 * * [simplify]: iters left: 4 (51 enodes)
38.656 * * [simplify]: iters left: 3 (64 enodes)
38.674 * * [simplify]: iters left: 2 (77 enodes)
38.695 * * [simplify]: iters left: 1 (84 enodes)
38.717 * * [simplify]: Extracting #0: cost 1 inf + 0
38.717 * * [simplify]: Extracting #1: cost 11 inf + 0
38.718 * * [simplify]: Extracting #2: cost 26 inf + 82
38.718 * * [simplify]: Extracting #3: cost 24 inf + 692
38.719 * * [simplify]: Extracting #4: cost 3 inf + 3057
38.720 * * [simplify]: Extracting #5: cost 0 inf + 3504
38.721 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
38.721 * [simplify]: Simplified (2 1 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))) (sqrt k)))
38.722 * * * * [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))) (sqrt k)))>
38.722 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
38.722 * * [simplify]: iters left: 6 (7 enodes)
38.727 * * [simplify]: iters left: 5 (31 enodes)
38.738 * * [simplify]: iters left: 4 (51 enodes)
38.758 * * [simplify]: iters left: 3 (64 enodes)
38.776 * * [simplify]: iters left: 2 (77 enodes)
38.793 * * [simplify]: iters left: 1 (84 enodes)
38.804 * * [simplify]: Extracting #0: cost 1 inf + 0
38.804 * * [simplify]: Extracting #1: cost 11 inf + 0
38.804 * * [simplify]: Extracting #2: cost 26 inf + 42
38.804 * * [simplify]: Extracting #3: cost 24 inf + 452
38.805 * * [simplify]: Extracting #4: cost 3 inf + 2337
38.805 * * [simplify]: Extracting #5: cost 0 inf + 2704
38.806 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
38.806 * [simplify]: Simplified (2 1 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))) (sqrt k)))
38.806 * * * * [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))) (sqrt k)))>
38.806 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
38.806 * * [simplify]: iters left: 6 (6 enodes)
38.809 * * [simplify]: iters left: 5 (29 enodes)
38.814 * * [simplify]: iters left: 4 (44 enodes)
38.826 * * [simplify]: iters left: 3 (50 enodes)
38.840 * * [simplify]: iters left: 2 (57 enodes)
38.857 * * [simplify]: Extracting #0: cost 1 inf + 0
38.857 * * [simplify]: Extracting #1: cost 9 inf + 0
38.857 * * [simplify]: Extracting #2: cost 15 inf + 3
38.857 * * [simplify]: Extracting #3: cost 11 inf + 131
38.857 * * [simplify]: Extracting #4: cost 2 inf + 711
38.858 * * [simplify]: Extracting #5: cost 0 inf + 836
38.858 * [simplify]: Simplified to (- 1/4 (/ k 4))
38.858 * [simplify]: Simplified (2 1 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))) (sqrt k)))
38.859 * * * * [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))) (sqrt k)))>
38.859 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
38.859 * * [simplify]: iters left: 6 (7 enodes)
38.864 * * [simplify]: iters left: 5 (31 enodes)
38.875 * * [simplify]: iters left: 4 (51 enodes)
38.894 * * [simplify]: iters left: 3 (64 enodes)
38.912 * * [simplify]: iters left: 2 (77 enodes)
38.934 * * [simplify]: iters left: 1 (84 enodes)
38.957 * * [simplify]: Extracting #0: cost 1 inf + 0
38.957 * * [simplify]: Extracting #1: cost 11 inf + 0
38.957 * * [simplify]: Extracting #2: cost 26 inf + 82
38.957 * * [simplify]: Extracting #3: cost 24 inf + 692
38.958 * * [simplify]: Extracting #4: cost 3 inf + 3057
38.959 * * [simplify]: Extracting #5: cost 0 inf + 3504
38.961 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
38.961 * [simplify]: Simplified (2 1 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))) (sqrt k)))
38.961 * * * * [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))) (sqrt k)))>
38.961 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
38.961 * * [simplify]: iters left: 6 (7 enodes)
38.966 * * [simplify]: iters left: 5 (31 enodes)
38.976 * * [simplify]: iters left: 4 (51 enodes)
38.992 * * [simplify]: iters left: 3 (64 enodes)
39.010 * * [simplify]: iters left: 2 (77 enodes)
39.031 * * [simplify]: iters left: 1 (84 enodes)
39.057 * * [simplify]: Extracting #0: cost 1 inf + 0
39.057 * * [simplify]: Extracting #1: cost 11 inf + 0
39.057 * * [simplify]: Extracting #2: cost 26 inf + 42
39.057 * * [simplify]: Extracting #3: cost 24 inf + 452
39.058 * * [simplify]: Extracting #4: cost 3 inf + 2337
39.059 * * [simplify]: Extracting #5: cost 0 inf + 2704
39.060 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
39.061 * [simplify]: Simplified (2 1 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))) (sqrt k)))
39.061 * * * * [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))) (sqrt k)))>
39.061 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
39.061 * * [simplify]: iters left: 6 (6 enodes)
39.066 * * [simplify]: iters left: 5 (29 enodes)
39.076 * * [simplify]: iters left: 4 (44 enodes)
39.085 * * [simplify]: iters left: 3 (50 enodes)
39.093 * * [simplify]: iters left: 2 (57 enodes)
39.101 * * [simplify]: Extracting #0: cost 1 inf + 0
39.101 * * [simplify]: Extracting #1: cost 9 inf + 0
39.101 * * [simplify]: Extracting #2: cost 15 inf + 3
39.101 * * [simplify]: Extracting #3: cost 11 inf + 131
39.101 * * [simplify]: Extracting #4: cost 2 inf + 711
39.101 * * [simplify]: Extracting #5: cost 0 inf + 836
39.102 * [simplify]: Simplified to (- 1/4 (/ k 4))
39.102 * [simplify]: Simplified (2 1 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))) (sqrt k)))
39.102 * * * * [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))) (sqrt k)))>
39.102 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
39.102 * * [simplify]: iters left: 4 (5 enodes)
39.104 * * [simplify]: iters left: 3 (20 enodes)
39.108 * * [simplify]: iters left: 2 (27 enodes)
39.113 * * [simplify]: iters left: 1 (29 enodes)
39.122 * * [simplify]: Extracting #0: cost 1 inf + 0
39.122 * * [simplify]: Extracting #1: cost 8 inf + 0
39.123 * * [simplify]: Extracting #2: cost 4 inf + 449
39.123 * * [simplify]: Extracting #3: cost 0 inf + 895
39.123 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
39.123 * [simplify]: Simplified (2 1 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))) (sqrt k)))
39.123 * * * * [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))) (sqrt k)))>
39.124 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
39.124 * * [simplify]: iters left: 4 (5 enodes)
39.128 * * [simplify]: iters left: 3 (20 enodes)
39.136 * * [simplify]: iters left: 2 (27 enodes)
39.143 * * [simplify]: iters left: 1 (29 enodes)
39.147 * * [simplify]: Extracting #0: cost 1 inf + 0
39.147 * * [simplify]: Extracting #1: cost 8 inf + 0
39.147 * * [simplify]: Extracting #2: cost 4 inf + 289
39.147 * * [simplify]: Extracting #3: cost 0 inf + 575
39.148 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
39.148 * [simplify]: Simplified (2 1 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))) (sqrt k)))
39.148 * * * * [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))) (sqrt k)))>
39.148 * [simplify]: Simplifying (/ (/ 1 2) 2)
39.148 * * [simplify]: iters left: 4 (4 enodes)
39.153 * * [simplify]: iters left: 3 (19 enodes)
39.157 * * [simplify]: iters left: 2 (23 enodes)
39.160 * * [simplify]: Extracting #0: cost 1 inf + 0
39.160 * * [simplify]: Extracting #1: cost 0 inf + 1
39.161 * [simplify]: Simplified to 1/4
39.161 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
39.161 * * * * [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))) (sqrt k)))>
39.161 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
39.161 * * [simplify]: iters left: 6 (6 enodes)
39.164 * * [simplify]: iters left: 5 (29 enodes)
39.169 * * [simplify]: iters left: 4 (44 enodes)
39.180 * * [simplify]: iters left: 3 (50 enodes)
39.195 * * [simplify]: iters left: 2 (57 enodes)
39.211 * * [simplify]: Extracting #0: cost 1 inf + 0
39.211 * * [simplify]: Extracting #1: cost 9 inf + 0
39.211 * * [simplify]: Extracting #2: cost 15 inf + 3
39.211 * * [simplify]: Extracting #3: cost 11 inf + 131
39.212 * * [simplify]: Extracting #4: cost 2 inf + 711
39.212 * * [simplify]: Extracting #5: cost 0 inf + 836
39.213 * [simplify]: Simplified to (- 1/4 (/ k 4))
39.213 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
39.213 * * * * [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))) (sqrt k)))>
39.213 * [simplify]: Simplifying (/ 1 2)
39.213 * * [simplify]: iters left: 2 (3 enodes)
39.216 * * [simplify]: iters left: 1 (12 enodes)
39.220 * * [simplify]: Extracting #0: cost 1 inf + 0
39.220 * * [simplify]: Extracting #1: cost 0 inf + 1
39.220 * [simplify]: Simplified to 1/2
39.221 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
39.221 * * * * [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))) (sqrt k)))>
39.221 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
39.221 * * [simplify]: iters left: 6 (8 enodes)
39.226 * * [simplify]: iters left: 5 (38 enodes)
39.239 * * [simplify]: iters left: 4 (66 enodes)
39.262 * * [simplify]: iters left: 3 (110 enodes)
39.289 * * [simplify]: iters left: 2 (200 enodes)
39.347 * * [simplify]: iters left: 1 (403 enodes)
39.510 * * [simplify]: Extracting #0: cost 1 inf + 0
39.511 * * [simplify]: Extracting #1: cost 26 inf + 0
39.511 * * [simplify]: Extracting #2: cost 100 inf + 2
39.512 * * [simplify]: Extracting #3: cost 164 inf + 10
39.514 * * [simplify]: Extracting #4: cost 163 inf + 641
39.519 * * [simplify]: Extracting #5: cost 72 inf + 12998
39.531 * * [simplify]: Extracting #6: cost 25 inf + 35040
39.547 * * [simplify]: Extracting #7: cost 0 inf + 54806
39.557 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
39.557 * [simplify]: Simplified (2 1 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))) (sqrt k)))
39.557 * * * * [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))) (sqrt k)))>
39.558 * * * * [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))) (sqrt k)))>
39.558 * * * * [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))) (sqrt k)))>
39.558 * * * * [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))) (sqrt k)))>
39.558 * * * * [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))) (sqrt k)))>
39.558 * * * * [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))) (sqrt k)))>
39.558 * * * * [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))) (sqrt k)))>
39.558 * * * * [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))) (sqrt k)))>
39.558 * * * * [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))) (sqrt k)))>
39.558 * * * * [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))) (sqrt k)))>
39.558 * * * * [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))) (sqrt k)))>
39.558 * * * * [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))) (sqrt k)))>
39.558 * [simplify]: Simplifying (* n (* 2 PI))
39.558 * * [simplify]: iters left: 4 (5 enodes)
39.560 * * [simplify]: iters left: 3 (19 enodes)
39.563 * * [simplify]: iters left: 2 (27 enodes)
39.570 * * [simplify]: iters left: 1 (32 enodes)
39.574 * * [simplify]: Extracting #0: cost 1 inf + 0
39.574 * * [simplify]: Extracting #1: cost 8 inf + 0
39.574 * * [simplify]: Extracting #2: cost 7 inf + 45
39.574 * * [simplify]: Extracting #3: cost 0 inf + 421
39.575 * [simplify]: Simplified to (* (* PI 2) n)
39.575 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
39.575 * * * * [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))) (sqrt k)))>
39.575 * [simplify]: Simplifying (* n (* 2 PI))
39.575 * * [simplify]: iters left: 4 (5 enodes)
39.576 * * [simplify]: iters left: 3 (19 enodes)
39.579 * * [simplify]: iters left: 2 (27 enodes)
39.583 * * [simplify]: iters left: 1 (32 enodes)
39.587 * * [simplify]: Extracting #0: cost 1 inf + 0
39.587 * * [simplify]: Extracting #1: cost 8 inf + 0
39.587 * * [simplify]: Extracting #2: cost 7 inf + 45
39.588 * * [simplify]: Extracting #3: cost 0 inf + 421
39.588 * [simplify]: Simplified to (* (* PI 2) n)
39.588 * [simplify]: Simplified (2 1 2 1 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
39.588 * * * * [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))) (sqrt k)))>
39.588 * * * * [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))) (sqrt k)))>
39.588 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
39.588 * * [simplify]: iters left: 5 (8 enodes)
39.591 * * [simplify]: iters left: 4 (28 enodes)
39.599 * * [simplify]: iters left: 3 (36 enodes)
39.609 * * [simplify]: iters left: 2 (42 enodes)
39.620 * * [simplify]: Extracting #0: cost 1 inf + 0
39.620 * * [simplify]: Extracting #1: cost 8 inf + 0
39.620 * * [simplify]: Extracting #2: cost 17 inf + 0
39.620 * * [simplify]: Extracting #3: cost 12 inf + 145
39.621 * * [simplify]: Extracting #4: cost 5 inf + 1197
39.621 * * [simplify]: Extracting #5: cost 1 inf + 1925
39.622 * * [simplify]: Extracting #6: cost 0 inf + 2107
39.622 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
39.622 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
39.623 * * * * [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))) (sqrt k)))>
39.623 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
39.623 * * [simplify]: iters left: 5 (7 enodes)
39.627 * * [simplify]: iters left: 4 (26 enodes)
39.635 * * [simplify]: iters left: 3 (35 enodes)
39.646 * * [simplify]: iters left: 2 (44 enodes)
39.658 * * [simplify]: Extracting #0: cost 1 inf + 0
39.658 * * [simplify]: Extracting #1: cost 8 inf + 0
39.658 * * [simplify]: Extracting #2: cost 18 inf + 0
39.658 * * [simplify]: Extracting #3: cost 15 inf + 74
39.658 * * [simplify]: Extracting #4: cost 8 inf + 554
39.659 * * [simplify]: Extracting #5: cost 0 inf + 1911
39.659 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
39.659 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
39.659 * * * * [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))) (sqrt k)))>
39.660 * * * * [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))) (sqrt k)))>
39.660 * * * * [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))) (sqrt k)))>
39.660 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
39.660 * * [simplify]: iters left: 6 (11 enodes)
39.668 * * [simplify]: iters left: 5 (48 enodes)
39.687 * * [simplify]: iters left: 4 (121 enodes)
39.740 * * [simplify]: iters left: 3 (348 enodes)
39.925 * * [simplify]: Extracting #0: cost 1 inf + 0
39.925 * * [simplify]: Extracting #1: cost 67 inf + 0
39.926 * * [simplify]: Extracting #2: cost 165 inf + 786
39.929 * * [simplify]: Extracting #3: cost 85 inf + 10177
39.938 * * [simplify]: Extracting #4: cost 9 inf + 26399
39.950 * * [simplify]: Extracting #5: cost 0 inf + 28546
39.961 * * [simplify]: Extracting #6: cost 0 inf + 28506
39.968 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
39.968 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
39.968 * * * * [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))) (sqrt k)))>
39.968 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
39.968 * * [simplify]: iters left: 6 (9 enodes)
39.971 * * [simplify]: iters left: 5 (45 enodes)
39.980 * * [simplify]: iters left: 4 (117 enodes)
40.016 * * [simplify]: iters left: 3 (374 enodes)
40.324 * * [simplify]: Extracting #0: cost 1 inf + 0
40.325 * * [simplify]: Extracting #1: cost 77 inf + 0
40.326 * * [simplify]: Extracting #2: cost 184 inf + 984
40.334 * * [simplify]: Extracting #3: cost 106 inf + 11690
40.349 * * [simplify]: Extracting #4: cost 6 inf + 30376
40.358 * * [simplify]: Extracting #5: cost 0 inf + 31644
40.367 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
40.368 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
40.368 * * * * [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))) (sqrt k)))>
40.368 * * * * [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))) (sqrt k)))>
40.368 * * * * [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))) (sqrt k)))>
40.368 * * * * [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))) (sqrt k)))>
40.368 * * * * [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))) (sqrt k)))>
40.368 * * * * [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))) (sqrt k)))>
40.368 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
40.368 * * [simplify]: iters left: 3 (3 enodes)
40.369 * * [simplify]: iters left: 2 (9 enodes)
40.370 * * [simplify]: Extracting #0: cost 1 inf + 0
40.370 * * [simplify]: Extracting #1: cost 3 inf + 0
40.370 * * [simplify]: Extracting #2: cost 5 inf + 0
40.370 * * [simplify]: Extracting #3: cost 4 inf + 1
40.370 * * [simplify]: Extracting #4: cost 0 inf + 405
40.370 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
40.370 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
40.370 * * * * [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))) (sqrt k)))>
40.371 * [simplify]: Simplifying (sqrt n)
40.371 * * [simplify]: iters left: 1 (2 enodes)
40.371 * * [simplify]: Extracting #0: cost 1 inf + 0
40.371 * * [simplify]: Extracting #1: cost 3 inf + 0
40.371 * * [simplify]: Extracting #2: cost 2 inf + 1
40.371 * * [simplify]: Extracting #3: cost 0 inf + 83
40.371 * [simplify]: Simplified to (sqrt n)
40.371 * [simplify]: Simplified (2 1 2 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))) (sqrt k)))
40.371 * * * * [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))) (sqrt k)))>
40.372 * * * * [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))) (sqrt k)))>
40.372 * * * * [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))) (sqrt k)))>
40.372 * * * * [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))) (sqrt k)))>
40.372 * * * * [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))) (sqrt k)))>
40.372 * * * * [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))) (sqrt k)))>
40.372 * [simplify]: Simplifying (* n (* 2 PI))
40.372 * * [simplify]: iters left: 4 (5 enodes)
40.373 * * [simplify]: iters left: 3 (19 enodes)
40.376 * * [simplify]: iters left: 2 (27 enodes)
40.380 * * [simplify]: iters left: 1 (32 enodes)
40.384 * * [simplify]: Extracting #0: cost 1 inf + 0
40.384 * * [simplify]: Extracting #1: cost 8 inf + 0
40.384 * * [simplify]: Extracting #2: cost 7 inf + 45
40.384 * * [simplify]: Extracting #3: cost 0 inf + 421
40.385 * [simplify]: Simplified to (* (* PI 2) n)
40.385 * [simplify]: Simplified (2 1 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))) (sqrt k)))
40.385 * * * * [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))) (sqrt k)))>
40.385 * [simplify]: Simplifying (* n (* 2 PI))
40.385 * * [simplify]: iters left: 4 (5 enodes)
40.387 * * [simplify]: iters left: 3 (19 enodes)
40.390 * * [simplify]: iters left: 2 (27 enodes)
40.394 * * [simplify]: iters left: 1 (32 enodes)
40.397 * * [simplify]: Extracting #0: cost 1 inf + 0
40.397 * * [simplify]: Extracting #1: cost 8 inf + 0
40.398 * * [simplify]: Extracting #2: cost 7 inf + 45
40.398 * * [simplify]: Extracting #3: cost 0 inf + 421
40.398 * [simplify]: Simplified to (* (* PI 2) n)
40.398 * [simplify]: Simplified (2 1 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))) (sqrt k)))
40.398 * * * * [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))) (sqrt k)))>
40.398 * * * * [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))) (sqrt k)))>
40.398 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
40.398 * * [simplify]: iters left: 5 (8 enodes)
40.403 * * [simplify]: iters left: 4 (28 enodes)
40.407 * * [simplify]: iters left: 3 (36 enodes)
40.417 * * [simplify]: iters left: 2 (42 enodes)
40.427 * * [simplify]: Extracting #0: cost 1 inf + 0
40.427 * * [simplify]: Extracting #1: cost 8 inf + 0
40.427 * * [simplify]: Extracting #2: cost 17 inf + 0
40.427 * * [simplify]: Extracting #3: cost 12 inf + 145
40.427 * * [simplify]: Extracting #4: cost 5 inf + 1197
40.428 * * [simplify]: Extracting #5: cost 1 inf + 1925
40.429 * * [simplify]: Extracting #6: cost 0 inf + 2107
40.430 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
40.430 * [simplify]: Simplified (2 1 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))) (sqrt k)))
40.430 * * * * [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))) (sqrt k)))>
40.430 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
40.430 * * [simplify]: iters left: 5 (7 enodes)
40.434 * * [simplify]: iters left: 4 (26 enodes)
40.439 * * [simplify]: iters left: 3 (35 enodes)
40.444 * * [simplify]: iters left: 2 (44 enodes)
40.450 * * [simplify]: Extracting #0: cost 1 inf + 0
40.450 * * [simplify]: Extracting #1: cost 8 inf + 0
40.450 * * [simplify]: Extracting #2: cost 18 inf + 0
40.450 * * [simplify]: Extracting #3: cost 15 inf + 74
40.451 * * [simplify]: Extracting #4: cost 8 inf + 554
40.451 * * [simplify]: Extracting #5: cost 0 inf + 1911
40.451 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
40.451 * [simplify]: Simplified (2 1 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))) (sqrt k)))
40.451 * * * * [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))) (sqrt k)))>
40.451 * * * * [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))) (sqrt k)))>
40.451 * * * * [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))) (sqrt k)))>
40.452 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
40.452 * * [simplify]: iters left: 6 (11 enodes)
40.456 * * [simplify]: iters left: 5 (48 enodes)
40.465 * * [simplify]: iters left: 4 (121 enodes)
40.495 * * [simplify]: iters left: 3 (348 enodes)
40.661 * * [simplify]: Extracting #0: cost 1 inf + 0
40.661 * * [simplify]: Extracting #1: cost 67 inf + 0
40.662 * * [simplify]: Extracting #2: cost 165 inf + 786
40.665 * * [simplify]: Extracting #3: cost 85 inf + 10177
40.677 * * [simplify]: Extracting #4: cost 9 inf + 26399
40.694 * * [simplify]: Extracting #5: cost 0 inf + 28546
40.707 * * [simplify]: Extracting #6: cost 0 inf + 28506
40.720 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
40.720 * [simplify]: Simplified (2 1 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))) (sqrt k)))
40.721 * * * * [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))) (sqrt k)))>
40.721 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
40.721 * * [simplify]: iters left: 6 (9 enodes)
40.727 * * [simplify]: iters left: 5 (45 enodes)
40.745 * * [simplify]: iters left: 4 (117 enodes)
40.809 * * [simplify]: iters left: 3 (374 enodes)
41.130 * * [simplify]: Extracting #0: cost 1 inf + 0
41.131 * * [simplify]: Extracting #1: cost 77 inf + 0
41.132 * * [simplify]: Extracting #2: cost 184 inf + 984
41.135 * * [simplify]: Extracting #3: cost 106 inf + 11690
41.147 * * [simplify]: Extracting #4: cost 6 inf + 30376
41.161 * * [simplify]: Extracting #5: cost 0 inf + 31644
41.180 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
41.181 * [simplify]: Simplified (2 1 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))) (sqrt k)))
41.181 * * * * [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))) (sqrt k)))>
41.181 * * * * [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))) (sqrt k)))>
41.181 * * * * [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))) (sqrt k)))>
41.181 * * * * [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))) (sqrt k)))>
41.181 * * * * [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))) (sqrt k)))>
41.181 * * * * [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))) (sqrt k)))>
41.181 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
41.182 * * [simplify]: iters left: 3 (3 enodes)
41.183 * * [simplify]: iters left: 2 (9 enodes)
41.185 * * [simplify]: Extracting #0: cost 1 inf + 0
41.185 * * [simplify]: Extracting #1: cost 3 inf + 0
41.185 * * [simplify]: Extracting #2: cost 5 inf + 0
41.185 * * [simplify]: Extracting #3: cost 4 inf + 1
41.185 * * [simplify]: Extracting #4: cost 0 inf + 405
41.186 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
41.186 * [simplify]: Simplified (2 1 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))) (sqrt k)))
41.186 * * * * [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))) (sqrt k)))>
41.186 * [simplify]: Simplifying (sqrt n)
41.186 * * [simplify]: iters left: 1 (2 enodes)
41.187 * * [simplify]: Extracting #0: cost 1 inf + 0
41.187 * * [simplify]: Extracting #1: cost 3 inf + 0
41.187 * * [simplify]: Extracting #2: cost 2 inf + 1
41.187 * * [simplify]: Extracting #3: cost 0 inf + 83
41.187 * [simplify]: Simplified to (sqrt n)
41.187 * [simplify]: Simplified (2 1 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))) (sqrt k)))
41.187 * * * * [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))) (sqrt k)))>
41.187 * * * * [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))) (sqrt k)))>
41.188 * * * * [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))) (sqrt k)))>
41.188 * * * * [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)))))))) (sqrt k)))>
41.188 * [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)))))))
41.188 * * [simplify]: iters left: 6 (37 enodes)
41.210 * * [simplify]: iters left: 5 (193 enodes)
41.279 * * [simplify]: Extracting #0: cost 1 inf + 0
41.279 * * [simplify]: Extracting #1: cost 22 inf + 0
41.279 * * [simplify]: Extracting #2: cost 104 inf + 1
41.280 * * [simplify]: Extracting #3: cost 170 inf + 88
41.281 * * [simplify]: Extracting #4: cost 195 inf + 509
41.283 * * [simplify]: Extracting #5: cost 136 inf + 15293
41.295 * * [simplify]: Extracting #6: cost 47 inf + 48666
41.320 * * [simplify]: Extracting #7: cost 3 inf + 79281
41.337 * * [simplify]: Extracting #8: cost 0 inf + 80934
41.357 * * [simplify]: Extracting #9: cost 0 inf + 80864
41.390 * [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))))))))
41.391 * [simplify]: Simplified (2 1 2) 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))))))))) (sqrt k)))
41.391 * * * * [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))))))) (sqrt k)))>
41.392 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
41.392 * * [simplify]: iters left: 6 (15 enodes)
41.401 * * [simplify]: iters left: 5 (65 enodes)
41.427 * * [simplify]: iters left: 4 (123 enodes)
41.479 * * [simplify]: iters left: 3 (366 enodes)
41.644 * * [simplify]: Extracting #0: cost 1 inf + 0
41.644 * * [simplify]: Extracting #1: cost 37 inf + 0
41.644 * * [simplify]: Extracting #2: cost 212 inf + 143
41.646 * * [simplify]: Extracting #3: cost 347 inf + 1812
41.651 * * [simplify]: Extracting #4: cost 207 inf + 31167
41.665 * * [simplify]: Extracting #5: cost 25 inf + 82567
41.700 * * [simplify]: Extracting #6: cost 0 inf + 89048
41.732 * * [simplify]: Extracting #7: cost 0 inf + 88844
41.748 * * [simplify]: Extracting #8: cost 0 inf + 88842
41.776 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))
41.776 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))) (sqrt k)))
41.776 * * * * [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))))))) (sqrt k)))>
41.776 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
41.777 * * [simplify]: iters left: 6 (16 enodes)
41.782 * * [simplify]: iters left: 5 (67 enodes)
41.795 * * [simplify]: iters left: 4 (134 enodes)
41.833 * * [simplify]: iters left: 3 (412 enodes)
42.013 * * [simplify]: Extracting #0: cost 1 inf + 0
42.013 * * [simplify]: Extracting #1: cost 39 inf + 0
42.014 * * [simplify]: Extracting #2: cost 241 inf + 72
42.015 * * [simplify]: Extracting #3: cost 448 inf + 1069
42.025 * * [simplify]: Extracting #4: cost 308 inf + 32324
42.052 * * [simplify]: Extracting #5: cost 42 inf + 110073
42.082 * * [simplify]: Extracting #6: cost 0 inf + 122155
42.117 * * [simplify]: Extracting #7: cost 0 inf + 121985
42.154 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
42.154 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))
42.154 * * * * [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))) (sqrt k)))>
42.154 * [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)))))))
42.154 * * [simplify]: iters left: 6 (37 enodes)
42.166 * * [simplify]: iters left: 5 (193 enodes)
42.242 * * [simplify]: Extracting #0: cost 1 inf + 0
42.242 * * [simplify]: Extracting #1: cost 22 inf + 0
42.242 * * [simplify]: Extracting #2: cost 104 inf + 1
42.243 * * [simplify]: Extracting #3: cost 170 inf + 88
42.248 * * [simplify]: Extracting #4: cost 195 inf + 509
42.253 * * [simplify]: Extracting #5: cost 136 inf + 15293
42.262 * * [simplify]: Extracting #6: cost 47 inf + 48666
42.277 * * [simplify]: Extracting #7: cost 3 inf + 79281
42.297 * * [simplify]: Extracting #8: cost 0 inf + 80934
42.314 * * [simplify]: Extracting #9: cost 0 inf + 80864
42.336 * [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))))))))
42.336 * [simplify]: Simplified (2 1 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))) (sqrt k)))
42.337 * * * * [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))) (sqrt k)))>
42.337 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
42.337 * * [simplify]: iters left: 6 (15 enodes)
42.347 * * [simplify]: iters left: 5 (65 enodes)
42.361 * * [simplify]: iters left: 4 (123 enodes)
42.402 * * [simplify]: iters left: 3 (366 enodes)
42.592 * * [simplify]: Extracting #0: cost 1 inf + 0
42.592 * * [simplify]: Extracting #1: cost 37 inf + 0
42.594 * * [simplify]: Extracting #2: cost 212 inf + 143
42.597 * * [simplify]: Extracting #3: cost 347 inf + 1812
42.606 * * [simplify]: Extracting #4: cost 207 inf + 31167
42.629 * * [simplify]: Extracting #5: cost 25 inf + 82567
42.645 * * [simplify]: Extracting #6: cost 0 inf + 89048
42.673 * * [simplify]: Extracting #7: cost 0 inf + 88844
42.690 * * [simplify]: Extracting #8: cost 0 inf + 88842
42.717 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))
42.717 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
42.717 * * * * [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))) (sqrt k)))>
42.717 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
42.717 * * [simplify]: iters left: 6 (16 enodes)
42.723 * * [simplify]: iters left: 5 (67 enodes)
42.736 * * [simplify]: iters left: 4 (134 enodes)
42.773 * * [simplify]: iters left: 3 (412 enodes)
43.008 * * [simplify]: Extracting #0: cost 1 inf + 0
43.009 * * [simplify]: Extracting #1: cost 39 inf + 0
43.009 * * [simplify]: Extracting #2: cost 241 inf + 72
43.011 * * [simplify]: Extracting #3: cost 448 inf + 1069
43.016 * * [simplify]: Extracting #4: cost 308 inf + 32324
43.050 * * [simplify]: Extracting #5: cost 42 inf + 110073
43.080 * * [simplify]: Extracting #6: cost 0 inf + 122155
43.115 * * [simplify]: Extracting #7: cost 0 inf + 121985
43.162 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
43.163 * [simplify]: Simplified (2 1 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))) (sqrt k)))
43.163 * * * * [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))) (sqrt k)))>
43.163 * [simplify]: Simplifying (* 2 (* n PI))
43.163 * * [simplify]: iters left: 4 (5 enodes)
43.166 * * [simplify]: iters left: 3 (19 enodes)
43.172 * * [simplify]: iters left: 2 (27 enodes)
43.180 * * [simplify]: iters left: 1 (32 enodes)
43.189 * * [simplify]: Extracting #0: cost 1 inf + 0
43.189 * * [simplify]: Extracting #1: cost 8 inf + 0
43.190 * * [simplify]: Extracting #2: cost 7 inf + 45
43.190 * * [simplify]: Extracting #3: cost 0 inf + 421
43.190 * [simplify]: Simplified to (* (* PI n) 2)
43.190 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
43.190 * * * * [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))) (sqrt k)))>
43.191 * [simplify]: Simplifying (* 2 (* n PI))
43.191 * * [simplify]: iters left: 4 (5 enodes)
43.194 * * [simplify]: iters left: 3 (19 enodes)
43.200 * * [simplify]: iters left: 2 (27 enodes)
43.204 * * [simplify]: iters left: 1 (32 enodes)
43.208 * * [simplify]: Extracting #0: cost 1 inf + 0
43.208 * * [simplify]: Extracting #1: cost 8 inf + 0
43.208 * * [simplify]: Extracting #2: cost 7 inf + 45
43.208 * * [simplify]: Extracting #3: cost 0 inf + 421
43.208 * [simplify]: Simplified to (* (* PI n) 2)
43.208 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
43.208 * * * * [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))) (sqrt k)))>
43.208 * [simplify]: Simplifying (* 2 (* n PI))
43.208 * * [simplify]: iters left: 4 (5 enodes)
43.210 * * [simplify]: iters left: 3 (19 enodes)
43.213 * * [simplify]: iters left: 2 (27 enodes)
43.216 * * [simplify]: iters left: 1 (32 enodes)
43.220 * * [simplify]: Extracting #0: cost 1 inf + 0
43.221 * * [simplify]: Extracting #1: cost 8 inf + 0
43.221 * * [simplify]: Extracting #2: cost 7 inf + 45
43.221 * * [simplify]: Extracting #3: cost 0 inf + 421
43.221 * [simplify]: Simplified to (* (* PI n) 2)
43.221 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
43.221 * * * * [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))) (sqrt k)))>
43.221 * [simplify]: Simplifying (* 2 (* n PI))
43.221 * * [simplify]: iters left: 4 (5 enodes)
43.223 * * [simplify]: iters left: 3 (19 enodes)
43.226 * * [simplify]: iters left: 2 (27 enodes)
43.231 * * [simplify]: iters left: 1 (32 enodes)
43.239 * * [simplify]: Extracting #0: cost 1 inf + 0
43.239 * * [simplify]: Extracting #1: cost 8 inf + 0
43.239 * * [simplify]: Extracting #2: cost 7 inf + 45
43.239 * * [simplify]: Extracting #3: cost 0 inf + 421
43.239 * [simplify]: Simplified to (* (* PI n) 2)
43.240 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
43.240 * * * * [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))) (sqrt k)))>
43.240 * [simplify]: Simplifying (* 2 (* n PI))
43.240 * * [simplify]: iters left: 4 (5 enodes)
43.243 * * [simplify]: iters left: 3 (19 enodes)
43.249 * * [simplify]: iters left: 2 (27 enodes)
43.255 * * [simplify]: iters left: 1 (32 enodes)
43.259 * * [simplify]: Extracting #0: cost 1 inf + 0
43.259 * * [simplify]: Extracting #1: cost 8 inf + 0
43.259 * * [simplify]: Extracting #2: cost 7 inf + 45
43.259 * * [simplify]: Extracting #3: cost 0 inf + 421
43.259 * [simplify]: Simplified to (* (* PI n) 2)
43.259 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
43.259 * * * * [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))) (sqrt k)))>
43.259 * [simplify]: Simplifying (* 2 (* n PI))
43.260 * * [simplify]: iters left: 4 (5 enodes)
43.261 * * [simplify]: iters left: 3 (19 enodes)
43.264 * * [simplify]: iters left: 2 (27 enodes)
43.269 * * [simplify]: iters left: 1 (32 enodes)
43.274 * * [simplify]: Extracting #0: cost 1 inf + 0
43.274 * * [simplify]: Extracting #1: cost 8 inf + 0
43.274 * * [simplify]: Extracting #2: cost 7 inf + 45
43.274 * * [simplify]: Extracting #3: cost 0 inf + 421
43.274 * [simplify]: Simplified to (* (* PI n) 2)
43.274 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))
43.274 * * * [progress]: adding candidates to table
46.712 * * [progress]: iteration 3 / 4
46.712 * * * [progress]: picking best candidate
46.736 * * * * [pick]: Picked  #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
46.736 * * * [progress]: localizing error
46.790 * * * [progress]: generating rewritten candidates
46.790 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
46.818 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
46.846 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1)
46.871 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
46.897 * * * [progress]: generating series expansions
46.897 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
46.898 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
46.898 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
46.898 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
46.898 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
46.898 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
46.898 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
46.898 * [taylor]: Taking taylor expansion of 1/2 in k
46.898 * [backup-simplify]: Simplify 1/2 into 1/2
46.898 * [taylor]: Taking taylor expansion of (- 1 k) in k
46.898 * [taylor]: Taking taylor expansion of 1 in k
46.898 * [backup-simplify]: Simplify 1 into 1
46.898 * [taylor]: Taking taylor expansion of k in k
46.898 * [backup-simplify]: Simplify 0 into 0
46.898 * [backup-simplify]: Simplify 1 into 1
46.898 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
46.898 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
46.898 * [taylor]: Taking taylor expansion of 2 in k
46.898 * [backup-simplify]: Simplify 2 into 2
46.898 * [taylor]: Taking taylor expansion of (* n PI) in k
46.898 * [taylor]: Taking taylor expansion of n in k
46.898 * [backup-simplify]: Simplify n into n
46.898 * [taylor]: Taking taylor expansion of PI in k
46.898 * [backup-simplify]: Simplify PI into PI
46.898 * [backup-simplify]: Simplify (* n PI) into (* n PI)
46.898 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
46.898 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
46.898 * [backup-simplify]: Simplify (- 0) into 0
46.899 * [backup-simplify]: Simplify (+ 1 0) into 1
46.899 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
46.899 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
46.899 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
46.899 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
46.899 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
46.899 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
46.899 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
46.899 * [taylor]: Taking taylor expansion of 1/2 in n
46.899 * [backup-simplify]: Simplify 1/2 into 1/2
46.899 * [taylor]: Taking taylor expansion of (- 1 k) in n
46.899 * [taylor]: Taking taylor expansion of 1 in n
46.899 * [backup-simplify]: Simplify 1 into 1
46.899 * [taylor]: Taking taylor expansion of k in n
46.899 * [backup-simplify]: Simplify k into k
46.899 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
46.899 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
46.899 * [taylor]: Taking taylor expansion of 2 in n
46.899 * [backup-simplify]: Simplify 2 into 2
46.899 * [taylor]: Taking taylor expansion of (* n PI) in n
46.899 * [taylor]: Taking taylor expansion of n in n
46.899 * [backup-simplify]: Simplify 0 into 0
46.899 * [backup-simplify]: Simplify 1 into 1
46.899 * [taylor]: Taking taylor expansion of PI in n
46.899 * [backup-simplify]: Simplify PI into PI
46.900 * [backup-simplify]: Simplify (* 0 PI) into 0
46.900 * [backup-simplify]: Simplify (* 2 0) into 0
46.901 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
46.902 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
46.902 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.902 * [backup-simplify]: Simplify (- k) into (- k)
46.902 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
46.903 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
46.903 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.904 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
46.905 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
46.905 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
46.905 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
46.905 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
46.905 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
46.905 * [taylor]: Taking taylor expansion of 1/2 in n
46.905 * [backup-simplify]: Simplify 1/2 into 1/2
46.905 * [taylor]: Taking taylor expansion of (- 1 k) in n
46.905 * [taylor]: Taking taylor expansion of 1 in n
46.905 * [backup-simplify]: Simplify 1 into 1
46.905 * [taylor]: Taking taylor expansion of k in n
46.905 * [backup-simplify]: Simplify k into k
46.905 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
46.905 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
46.905 * [taylor]: Taking taylor expansion of 2 in n
46.905 * [backup-simplify]: Simplify 2 into 2
46.905 * [taylor]: Taking taylor expansion of (* n PI) in n
46.905 * [taylor]: Taking taylor expansion of n in n
46.905 * [backup-simplify]: Simplify 0 into 0
46.905 * [backup-simplify]: Simplify 1 into 1
46.905 * [taylor]: Taking taylor expansion of PI in n
46.905 * [backup-simplify]: Simplify PI into PI
46.905 * [backup-simplify]: Simplify (* 0 PI) into 0
46.905 * [backup-simplify]: Simplify (* 2 0) into 0
46.906 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
46.907 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
46.908 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.908 * [backup-simplify]: Simplify (- k) into (- k)
46.908 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
46.908 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
46.910 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.911 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
46.912 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
46.912 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
46.912 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
46.912 * [taylor]: Taking taylor expansion of 1/2 in k
46.912 * [backup-simplify]: Simplify 1/2 into 1/2
46.912 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
46.912 * [taylor]: Taking taylor expansion of (- 1 k) in k
46.912 * [taylor]: Taking taylor expansion of 1 in k
46.912 * [backup-simplify]: Simplify 1 into 1
46.912 * [taylor]: Taking taylor expansion of k in k
46.912 * [backup-simplify]: Simplify 0 into 0
46.912 * [backup-simplify]: Simplify 1 into 1
46.912 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
46.912 * [taylor]: Taking taylor expansion of (log n) in k
46.912 * [taylor]: Taking taylor expansion of n in k
46.912 * [backup-simplify]: Simplify n into n
46.912 * [backup-simplify]: Simplify (log n) into (log n)
46.912 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
46.913 * [taylor]: Taking taylor expansion of (* 2 PI) in k
46.913 * [taylor]: Taking taylor expansion of 2 in k
46.913 * [backup-simplify]: Simplify 2 into 2
46.913 * [taylor]: Taking taylor expansion of PI in k
46.913 * [backup-simplify]: Simplify PI into PI
46.913 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
46.914 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.914 * [backup-simplify]: Simplify (- 0) into 0
46.915 * [backup-simplify]: Simplify (+ 1 0) into 1
46.916 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.917 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
46.918 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
46.919 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
46.920 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
46.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
46.922 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
46.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
46.924 * [backup-simplify]: Simplify (- 0) into 0
46.925 * [backup-simplify]: Simplify (+ 0 0) into 0
46.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
46.927 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.928 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
46.930 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
46.930 * [taylor]: Taking taylor expansion of 0 in k
46.930 * [backup-simplify]: Simplify 0 into 0
46.930 * [backup-simplify]: Simplify 0 into 0
46.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
46.931 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
46.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
46.933 * [backup-simplify]: Simplify (+ 0 0) into 0
46.934 * [backup-simplify]: Simplify (- 1) into -1
46.934 * [backup-simplify]: Simplify (+ 0 -1) into -1
46.936 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
46.938 * [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)))))
46.941 * [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)))))))
46.944 * [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)))))))
46.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
46.946 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
46.949 * [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
46.950 * [backup-simplify]: Simplify (- 0) into 0
46.950 * [backup-simplify]: Simplify (+ 0 0) into 0
46.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
46.953 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.954 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
46.956 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.956 * [taylor]: Taking taylor expansion of 0 in k
46.956 * [backup-simplify]: Simplify 0 into 0
46.957 * [backup-simplify]: Simplify 0 into 0
46.957 * [backup-simplify]: Simplify 0 into 0
46.958 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
46.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
46.962 * [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
46.963 * [backup-simplify]: Simplify (+ 0 0) into 0
46.963 * [backup-simplify]: Simplify (- 0) into 0
46.963 * [backup-simplify]: Simplify (+ 0 0) into 0
46.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
46.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
46.971 * [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)))))
46.976 * [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)))))
46.986 * [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)))))
46.987 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
46.987 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
46.987 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
46.987 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
46.987 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
46.987 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
46.987 * [taylor]: Taking taylor expansion of 1/2 in k
46.987 * [backup-simplify]: Simplify 1/2 into 1/2
46.987 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
46.987 * [taylor]: Taking taylor expansion of 1 in k
46.987 * [backup-simplify]: Simplify 1 into 1
46.987 * [taylor]: Taking taylor expansion of (/ 1 k) in k
46.987 * [taylor]: Taking taylor expansion of k in k
46.987 * [backup-simplify]: Simplify 0 into 0
46.987 * [backup-simplify]: Simplify 1 into 1
46.988 * [backup-simplify]: Simplify (/ 1 1) into 1
46.988 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
46.988 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
46.988 * [taylor]: Taking taylor expansion of 2 in k
46.988 * [backup-simplify]: Simplify 2 into 2
46.988 * [taylor]: Taking taylor expansion of (/ PI n) in k
46.988 * [taylor]: Taking taylor expansion of PI in k
46.988 * [backup-simplify]: Simplify PI into PI
46.988 * [taylor]: Taking taylor expansion of n in k
46.988 * [backup-simplify]: Simplify n into n
46.988 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
46.988 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
46.988 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
46.989 * [backup-simplify]: Simplify (- 1) into -1
46.989 * [backup-simplify]: Simplify (+ 0 -1) into -1
46.989 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
46.990 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
46.990 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
46.990 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
46.990 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
46.990 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
46.990 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
46.990 * [taylor]: Taking taylor expansion of 1/2 in n
46.990 * [backup-simplify]: Simplify 1/2 into 1/2
46.990 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
46.990 * [taylor]: Taking taylor expansion of 1 in n
46.990 * [backup-simplify]: Simplify 1 into 1
46.990 * [taylor]: Taking taylor expansion of (/ 1 k) in n
46.990 * [taylor]: Taking taylor expansion of k in n
46.990 * [backup-simplify]: Simplify k into k
46.990 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
46.990 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
46.990 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
46.990 * [taylor]: Taking taylor expansion of 2 in n
46.990 * [backup-simplify]: Simplify 2 into 2
46.990 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.990 * [taylor]: Taking taylor expansion of PI in n
46.990 * [backup-simplify]: Simplify PI into PI
46.990 * [taylor]: Taking taylor expansion of n in n
46.990 * [backup-simplify]: Simplify 0 into 0
46.990 * [backup-simplify]: Simplify 1 into 1
46.991 * [backup-simplify]: Simplify (/ PI 1) into PI
46.991 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
46.992 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.992 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
46.992 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
46.993 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
46.994 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
46.995 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
46.996 * [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)))))
46.996 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
46.996 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
46.996 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
46.996 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
46.996 * [taylor]: Taking taylor expansion of 1/2 in n
46.996 * [backup-simplify]: Simplify 1/2 into 1/2
46.996 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
46.996 * [taylor]: Taking taylor expansion of 1 in n
46.996 * [backup-simplify]: Simplify 1 into 1
46.996 * [taylor]: Taking taylor expansion of (/ 1 k) in n
46.996 * [taylor]: Taking taylor expansion of k in n
46.996 * [backup-simplify]: Simplify k into k
46.996 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
46.996 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
46.997 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
46.997 * [taylor]: Taking taylor expansion of 2 in n
46.997 * [backup-simplify]: Simplify 2 into 2
46.997 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.997 * [taylor]: Taking taylor expansion of PI in n
46.997 * [backup-simplify]: Simplify PI into PI
46.997 * [taylor]: Taking taylor expansion of n in n
46.997 * [backup-simplify]: Simplify 0 into 0
46.997 * [backup-simplify]: Simplify 1 into 1
47.000 * [backup-simplify]: Simplify (/ PI 1) into PI
47.000 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.001 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.001 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
47.002 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
47.002 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
47.003 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.004 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
47.005 * [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)))))
47.005 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
47.005 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
47.005 * [taylor]: Taking taylor expansion of 1/2 in k
47.005 * [backup-simplify]: Simplify 1/2 into 1/2
47.005 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
47.005 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
47.005 * [taylor]: Taking taylor expansion of 1 in k
47.005 * [backup-simplify]: Simplify 1 into 1
47.005 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.005 * [taylor]: Taking taylor expansion of k in k
47.005 * [backup-simplify]: Simplify 0 into 0
47.005 * [backup-simplify]: Simplify 1 into 1
47.005 * [backup-simplify]: Simplify (/ 1 1) into 1
47.005 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
47.005 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
47.005 * [taylor]: Taking taylor expansion of (* 2 PI) in k
47.005 * [taylor]: Taking taylor expansion of 2 in k
47.005 * [backup-simplify]: Simplify 2 into 2
47.005 * [taylor]: Taking taylor expansion of PI in k
47.005 * [backup-simplify]: Simplify PI into PI
47.006 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.006 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.006 * [taylor]: Taking taylor expansion of (log n) in k
47.006 * [taylor]: Taking taylor expansion of n in k
47.006 * [backup-simplify]: Simplify n into n
47.006 * [backup-simplify]: Simplify (log n) into (log n)
47.006 * [backup-simplify]: Simplify (- 1) into -1
47.007 * [backup-simplify]: Simplify (+ 0 -1) into -1
47.007 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
47.007 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
47.008 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
47.009 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
47.009 * [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)))))
47.010 * [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)))))
47.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.011 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
47.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
47.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.012 * [backup-simplify]: Simplify (- 0) into 0
47.012 * [backup-simplify]: Simplify (+ 0 0) into 0
47.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
47.014 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.014 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
47.015 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
47.015 * [taylor]: Taking taylor expansion of 0 in k
47.015 * [backup-simplify]: Simplify 0 into 0
47.015 * [backup-simplify]: Simplify 0 into 0
47.015 * [backup-simplify]: Simplify 0 into 0
47.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.017 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
47.018 * [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
47.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.019 * [backup-simplify]: Simplify (- 0) into 0
47.019 * [backup-simplify]: Simplify (+ 0 0) into 0
47.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
47.021 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.023 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
47.025 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.025 * [taylor]: Taking taylor expansion of 0 in k
47.025 * [backup-simplify]: Simplify 0 into 0
47.025 * [backup-simplify]: Simplify 0 into 0
47.025 * [backup-simplify]: Simplify 0 into 0
47.025 * [backup-simplify]: Simplify 0 into 0
47.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.027 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
47.033 * [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
47.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.034 * [backup-simplify]: Simplify (- 0) into 0
47.035 * [backup-simplify]: Simplify (+ 0 0) into 0
47.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
47.038 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.039 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
47.042 * [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
47.042 * [taylor]: Taking taylor expansion of 0 in k
47.042 * [backup-simplify]: Simplify 0 into 0
47.042 * [backup-simplify]: Simplify 0 into 0
47.043 * [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))))))
47.044 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
47.044 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
47.044 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
47.044 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
47.044 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
47.044 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
47.044 * [taylor]: Taking taylor expansion of 1/2 in k
47.044 * [backup-simplify]: Simplify 1/2 into 1/2
47.044 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
47.044 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.044 * [taylor]: Taking taylor expansion of k in k
47.044 * [backup-simplify]: Simplify 0 into 0
47.044 * [backup-simplify]: Simplify 1 into 1
47.045 * [backup-simplify]: Simplify (/ 1 1) into 1
47.045 * [taylor]: Taking taylor expansion of 1 in k
47.045 * [backup-simplify]: Simplify 1 into 1
47.045 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
47.045 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
47.045 * [taylor]: Taking taylor expansion of -2 in k
47.045 * [backup-simplify]: Simplify -2 into -2
47.045 * [taylor]: Taking taylor expansion of (/ PI n) in k
47.045 * [taylor]: Taking taylor expansion of PI in k
47.045 * [backup-simplify]: Simplify PI into PI
47.045 * [taylor]: Taking taylor expansion of n in k
47.045 * [backup-simplify]: Simplify n into n
47.045 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
47.045 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
47.045 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
47.046 * [backup-simplify]: Simplify (+ 1 0) into 1
47.046 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.046 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
47.046 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
47.046 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
47.046 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
47.046 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
47.046 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
47.046 * [taylor]: Taking taylor expansion of 1/2 in n
47.046 * [backup-simplify]: Simplify 1/2 into 1/2
47.046 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
47.047 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.047 * [taylor]: Taking taylor expansion of k in n
47.047 * [backup-simplify]: Simplify k into k
47.047 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.047 * [taylor]: Taking taylor expansion of 1 in n
47.047 * [backup-simplify]: Simplify 1 into 1
47.047 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
47.047 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
47.047 * [taylor]: Taking taylor expansion of -2 in n
47.047 * [backup-simplify]: Simplify -2 into -2
47.047 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.047 * [taylor]: Taking taylor expansion of PI in n
47.047 * [backup-simplify]: Simplify PI into PI
47.047 * [taylor]: Taking taylor expansion of n in n
47.047 * [backup-simplify]: Simplify 0 into 0
47.047 * [backup-simplify]: Simplify 1 into 1
47.047 * [backup-simplify]: Simplify (/ PI 1) into PI
47.048 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.049 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
47.049 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
47.049 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
47.050 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.051 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
47.053 * [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)))))
47.053 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
47.053 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
47.053 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
47.053 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
47.053 * [taylor]: Taking taylor expansion of 1/2 in n
47.053 * [backup-simplify]: Simplify 1/2 into 1/2
47.053 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
47.053 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.053 * [taylor]: Taking taylor expansion of k in n
47.053 * [backup-simplify]: Simplify k into k
47.053 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.053 * [taylor]: Taking taylor expansion of 1 in n
47.053 * [backup-simplify]: Simplify 1 into 1
47.053 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
47.053 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
47.053 * [taylor]: Taking taylor expansion of -2 in n
47.053 * [backup-simplify]: Simplify -2 into -2
47.053 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.053 * [taylor]: Taking taylor expansion of PI in n
47.053 * [backup-simplify]: Simplify PI into PI
47.053 * [taylor]: Taking taylor expansion of n in n
47.053 * [backup-simplify]: Simplify 0 into 0
47.053 * [backup-simplify]: Simplify 1 into 1
47.054 * [backup-simplify]: Simplify (/ PI 1) into PI
47.054 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.055 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
47.055 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
47.055 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
47.057 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.058 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
47.059 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
47.059 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
47.059 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
47.060 * [taylor]: Taking taylor expansion of 1/2 in k
47.060 * [backup-simplify]: Simplify 1/2 into 1/2
47.060 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
47.060 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
47.060 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.060 * [taylor]: Taking taylor expansion of k in k
47.060 * [backup-simplify]: Simplify 0 into 0
47.060 * [backup-simplify]: Simplify 1 into 1
47.060 * [backup-simplify]: Simplify (/ 1 1) into 1
47.060 * [taylor]: Taking taylor expansion of 1 in k
47.060 * [backup-simplify]: Simplify 1 into 1
47.060 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
47.060 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
47.060 * [taylor]: Taking taylor expansion of (* -2 PI) in k
47.060 * [taylor]: Taking taylor expansion of -2 in k
47.060 * [backup-simplify]: Simplify -2 into -2
47.060 * [taylor]: Taking taylor expansion of PI in k
47.060 * [backup-simplify]: Simplify PI into PI
47.061 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.062 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
47.062 * [taylor]: Taking taylor expansion of (log n) in k
47.062 * [taylor]: Taking taylor expansion of n in k
47.062 * [backup-simplify]: Simplify n into n
47.062 * [backup-simplify]: Simplify (log n) into (log n)
47.062 * [backup-simplify]: Simplify (+ 1 0) into 1
47.062 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
47.063 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
47.064 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
47.065 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
47.067 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
47.068 * [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)))))
47.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.070 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
47.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
47.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.072 * [backup-simplify]: Simplify (+ 0 0) into 0
47.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
47.074 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.075 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
47.077 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
47.077 * [taylor]: Taking taylor expansion of 0 in k
47.077 * [backup-simplify]: Simplify 0 into 0
47.077 * [backup-simplify]: Simplify 0 into 0
47.077 * [backup-simplify]: Simplify 0 into 0
47.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.080 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
47.083 * [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
47.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.084 * [backup-simplify]: Simplify (+ 0 0) into 0
47.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
47.086 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.088 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
47.091 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.091 * [taylor]: Taking taylor expansion of 0 in k
47.091 * [backup-simplify]: Simplify 0 into 0
47.091 * [backup-simplify]: Simplify 0 into 0
47.091 * [backup-simplify]: Simplify 0 into 0
47.091 * [backup-simplify]: Simplify 0 into 0
47.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.093 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
47.100 * [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
47.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.100 * [backup-simplify]: Simplify (+ 0 0) into 0
47.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
47.103 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.105 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
47.108 * [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
47.108 * [taylor]: Taking taylor expansion of 0 in k
47.108 * [backup-simplify]: Simplify 0 into 0
47.108 * [backup-simplify]: Simplify 0 into 0
47.109 * [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))))))
47.109 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
47.110 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
47.110 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
47.110 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
47.110 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
47.110 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
47.110 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
47.110 * [taylor]: Taking taylor expansion of 1/2 in k
47.110 * [backup-simplify]: Simplify 1/2 into 1/2
47.110 * [taylor]: Taking taylor expansion of (- 1 k) in k
47.110 * [taylor]: Taking taylor expansion of 1 in k
47.110 * [backup-simplify]: Simplify 1 into 1
47.110 * [taylor]: Taking taylor expansion of k in k
47.110 * [backup-simplify]: Simplify 0 into 0
47.110 * [backup-simplify]: Simplify 1 into 1
47.110 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
47.110 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
47.110 * [taylor]: Taking taylor expansion of 2 in k
47.110 * [backup-simplify]: Simplify 2 into 2
47.111 * [taylor]: Taking taylor expansion of (* n PI) in k
47.111 * [taylor]: Taking taylor expansion of n in k
47.111 * [backup-simplify]: Simplify n into n
47.111 * [taylor]: Taking taylor expansion of PI in k
47.111 * [backup-simplify]: Simplify PI into PI
47.111 * [backup-simplify]: Simplify (* n PI) into (* n PI)
47.111 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
47.111 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
47.111 * [backup-simplify]: Simplify (- 0) into 0
47.112 * [backup-simplify]: Simplify (+ 1 0) into 1
47.112 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.112 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
47.112 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
47.112 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
47.112 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
47.112 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
47.112 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
47.112 * [taylor]: Taking taylor expansion of 1/2 in n
47.113 * [backup-simplify]: Simplify 1/2 into 1/2
47.113 * [taylor]: Taking taylor expansion of (- 1 k) in n
47.113 * [taylor]: Taking taylor expansion of 1 in n
47.113 * [backup-simplify]: Simplify 1 into 1
47.113 * [taylor]: Taking taylor expansion of k in n
47.113 * [backup-simplify]: Simplify k into k
47.113 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
47.113 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
47.113 * [taylor]: Taking taylor expansion of 2 in n
47.113 * [backup-simplify]: Simplify 2 into 2
47.113 * [taylor]: Taking taylor expansion of (* n PI) in n
47.113 * [taylor]: Taking taylor expansion of n in n
47.113 * [backup-simplify]: Simplify 0 into 0
47.113 * [backup-simplify]: Simplify 1 into 1
47.113 * [taylor]: Taking taylor expansion of PI in n
47.113 * [backup-simplify]: Simplify PI into PI
47.113 * [backup-simplify]: Simplify (* 0 PI) into 0
47.114 * [backup-simplify]: Simplify (* 2 0) into 0
47.115 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
47.117 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
47.118 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.118 * [backup-simplify]: Simplify (- k) into (- k)
47.118 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
47.118 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
47.119 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
47.121 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
47.122 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
47.122 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
47.122 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
47.122 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
47.122 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
47.122 * [taylor]: Taking taylor expansion of 1/2 in n
47.122 * [backup-simplify]: Simplify 1/2 into 1/2
47.122 * [taylor]: Taking taylor expansion of (- 1 k) in n
47.122 * [taylor]: Taking taylor expansion of 1 in n
47.122 * [backup-simplify]: Simplify 1 into 1
47.122 * [taylor]: Taking taylor expansion of k in n
47.122 * [backup-simplify]: Simplify k into k
47.122 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
47.122 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
47.122 * [taylor]: Taking taylor expansion of 2 in n
47.122 * [backup-simplify]: Simplify 2 into 2
47.122 * [taylor]: Taking taylor expansion of (* n PI) in n
47.122 * [taylor]: Taking taylor expansion of n in n
47.122 * [backup-simplify]: Simplify 0 into 0
47.122 * [backup-simplify]: Simplify 1 into 1
47.122 * [taylor]: Taking taylor expansion of PI in n
47.122 * [backup-simplify]: Simplify PI into PI
47.123 * [backup-simplify]: Simplify (* 0 PI) into 0
47.123 * [backup-simplify]: Simplify (* 2 0) into 0
47.125 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
47.126 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
47.127 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.127 * [backup-simplify]: Simplify (- k) into (- k)
47.127 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
47.127 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
47.129 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
47.130 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
47.131 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
47.131 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
47.131 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
47.131 * [taylor]: Taking taylor expansion of 1/2 in k
47.131 * [backup-simplify]: Simplify 1/2 into 1/2
47.131 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
47.131 * [taylor]: Taking taylor expansion of (- 1 k) in k
47.131 * [taylor]: Taking taylor expansion of 1 in k
47.131 * [backup-simplify]: Simplify 1 into 1
47.131 * [taylor]: Taking taylor expansion of k in k
47.131 * [backup-simplify]: Simplify 0 into 0
47.131 * [backup-simplify]: Simplify 1 into 1
47.131 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
47.131 * [taylor]: Taking taylor expansion of (log n) in k
47.131 * [taylor]: Taking taylor expansion of n in k
47.131 * [backup-simplify]: Simplify n into n
47.131 * [backup-simplify]: Simplify (log n) into (log n)
47.132 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
47.132 * [taylor]: Taking taylor expansion of (* 2 PI) in k
47.132 * [taylor]: Taking taylor expansion of 2 in k
47.132 * [backup-simplify]: Simplify 2 into 2
47.132 * [taylor]: Taking taylor expansion of PI in k
47.132 * [backup-simplify]: Simplify PI into PI
47.134 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.136 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.136 * [backup-simplify]: Simplify (- 0) into 0
47.137 * [backup-simplify]: Simplify (+ 1 0) into 1
47.138 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
47.139 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
47.140 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
47.141 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
47.142 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
47.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
47.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
47.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
47.146 * [backup-simplify]: Simplify (- 0) into 0
47.147 * [backup-simplify]: Simplify (+ 0 0) into 0
47.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
47.149 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
47.150 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
47.152 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
47.152 * [taylor]: Taking taylor expansion of 0 in k
47.152 * [backup-simplify]: Simplify 0 into 0
47.152 * [backup-simplify]: Simplify 0 into 0
47.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
47.153 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
47.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
47.155 * [backup-simplify]: Simplify (+ 0 0) into 0
47.156 * [backup-simplify]: Simplify (- 1) into -1
47.156 * [backup-simplify]: Simplify (+ 0 -1) into -1
47.157 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
47.158 * [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)))))
47.160 * [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)))))))
47.162 * [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)))))))
47.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
47.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
47.165 * [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
47.165 * [backup-simplify]: Simplify (- 0) into 0
47.165 * [backup-simplify]: Simplify (+ 0 0) into 0
47.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
47.167 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
47.168 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
47.169 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.169 * [taylor]: Taking taylor expansion of 0 in k
47.169 * [backup-simplify]: Simplify 0 into 0
47.169 * [backup-simplify]: Simplify 0 into 0
47.169 * [backup-simplify]: Simplify 0 into 0
47.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
47.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
47.172 * [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
47.173 * [backup-simplify]: Simplify (+ 0 0) into 0
47.173 * [backup-simplify]: Simplify (- 0) into 0
47.173 * [backup-simplify]: Simplify (+ 0 0) into 0
47.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
47.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
47.179 * [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)))))
47.182 * [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)))))
47.187 * [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)))))
47.188 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
47.188 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
47.188 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
47.188 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
47.188 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
47.188 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
47.188 * [taylor]: Taking taylor expansion of 1/2 in k
47.188 * [backup-simplify]: Simplify 1/2 into 1/2
47.188 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
47.188 * [taylor]: Taking taylor expansion of 1 in k
47.188 * [backup-simplify]: Simplify 1 into 1
47.188 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.188 * [taylor]: Taking taylor expansion of k in k
47.188 * [backup-simplify]: Simplify 0 into 0
47.188 * [backup-simplify]: Simplify 1 into 1
47.189 * [backup-simplify]: Simplify (/ 1 1) into 1
47.189 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
47.189 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
47.189 * [taylor]: Taking taylor expansion of 2 in k
47.189 * [backup-simplify]: Simplify 2 into 2
47.189 * [taylor]: Taking taylor expansion of (/ PI n) in k
47.189 * [taylor]: Taking taylor expansion of PI in k
47.189 * [backup-simplify]: Simplify PI into PI
47.189 * [taylor]: Taking taylor expansion of n in k
47.189 * [backup-simplify]: Simplify n into n
47.189 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
47.189 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
47.189 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
47.190 * [backup-simplify]: Simplify (- 1) into -1
47.190 * [backup-simplify]: Simplify (+ 0 -1) into -1
47.190 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
47.191 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
47.191 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
47.191 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
47.191 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
47.191 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
47.191 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
47.191 * [taylor]: Taking taylor expansion of 1/2 in n
47.191 * [backup-simplify]: Simplify 1/2 into 1/2
47.191 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
47.191 * [taylor]: Taking taylor expansion of 1 in n
47.191 * [backup-simplify]: Simplify 1 into 1
47.191 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.191 * [taylor]: Taking taylor expansion of k in n
47.191 * [backup-simplify]: Simplify k into k
47.191 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.191 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
47.191 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
47.191 * [taylor]: Taking taylor expansion of 2 in n
47.191 * [backup-simplify]: Simplify 2 into 2
47.191 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.191 * [taylor]: Taking taylor expansion of PI in n
47.191 * [backup-simplify]: Simplify PI into PI
47.191 * [taylor]: Taking taylor expansion of n in n
47.191 * [backup-simplify]: Simplify 0 into 0
47.191 * [backup-simplify]: Simplify 1 into 1
47.192 * [backup-simplify]: Simplify (/ PI 1) into PI
47.192 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.193 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.193 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
47.194 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
47.194 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
47.195 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.196 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
47.197 * [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)))))
47.197 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
47.197 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
47.197 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
47.197 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
47.197 * [taylor]: Taking taylor expansion of 1/2 in n
47.197 * [backup-simplify]: Simplify 1/2 into 1/2
47.197 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
47.197 * [taylor]: Taking taylor expansion of 1 in n
47.197 * [backup-simplify]: Simplify 1 into 1
47.198 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.198 * [taylor]: Taking taylor expansion of k in n
47.198 * [backup-simplify]: Simplify k into k
47.198 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.198 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
47.198 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
47.198 * [taylor]: Taking taylor expansion of 2 in n
47.198 * [backup-simplify]: Simplify 2 into 2
47.198 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.198 * [taylor]: Taking taylor expansion of PI in n
47.198 * [backup-simplify]: Simplify PI into PI
47.198 * [taylor]: Taking taylor expansion of n in n
47.198 * [backup-simplify]: Simplify 0 into 0
47.198 * [backup-simplify]: Simplify 1 into 1
47.198 * [backup-simplify]: Simplify (/ PI 1) into PI
47.199 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.200 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.200 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
47.200 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
47.200 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
47.202 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.203 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
47.204 * [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)))))
47.204 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
47.204 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
47.204 * [taylor]: Taking taylor expansion of 1/2 in k
47.204 * [backup-simplify]: Simplify 1/2 into 1/2
47.204 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
47.204 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
47.204 * [taylor]: Taking taylor expansion of 1 in k
47.204 * [backup-simplify]: Simplify 1 into 1
47.204 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.205 * [taylor]: Taking taylor expansion of k in k
47.205 * [backup-simplify]: Simplify 0 into 0
47.205 * [backup-simplify]: Simplify 1 into 1
47.205 * [backup-simplify]: Simplify (/ 1 1) into 1
47.205 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
47.205 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
47.205 * [taylor]: Taking taylor expansion of (* 2 PI) in k
47.205 * [taylor]: Taking taylor expansion of 2 in k
47.205 * [backup-simplify]: Simplify 2 into 2
47.205 * [taylor]: Taking taylor expansion of PI in k
47.205 * [backup-simplify]: Simplify PI into PI
47.206 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.207 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
47.207 * [taylor]: Taking taylor expansion of (log n) in k
47.207 * [taylor]: Taking taylor expansion of n in k
47.207 * [backup-simplify]: Simplify n into n
47.207 * [backup-simplify]: Simplify (log n) into (log n)
47.207 * [backup-simplify]: Simplify (- 1) into -1
47.208 * [backup-simplify]: Simplify (+ 0 -1) into -1
47.208 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
47.209 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
47.210 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
47.211 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
47.212 * [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)))))
47.213 * [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)))))
47.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.215 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
47.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
47.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.217 * [backup-simplify]: Simplify (- 0) into 0
47.217 * [backup-simplify]: Simplify (+ 0 0) into 0
47.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
47.219 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.220 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
47.222 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
47.222 * [taylor]: Taking taylor expansion of 0 in k
47.222 * [backup-simplify]: Simplify 0 into 0
47.222 * [backup-simplify]: Simplify 0 into 0
47.222 * [backup-simplify]: Simplify 0 into 0
47.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.224 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
47.228 * [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
47.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.228 * [backup-simplify]: Simplify (- 0) into 0
47.229 * [backup-simplify]: Simplify (+ 0 0) into 0
47.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
47.231 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.232 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
47.235 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.235 * [taylor]: Taking taylor expansion of 0 in k
47.235 * [backup-simplify]: Simplify 0 into 0
47.235 * [backup-simplify]: Simplify 0 into 0
47.235 * [backup-simplify]: Simplify 0 into 0
47.235 * [backup-simplify]: Simplify 0 into 0
47.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.237 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
47.243 * [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
47.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.244 * [backup-simplify]: Simplify (- 0) into 0
47.244 * [backup-simplify]: Simplify (+ 0 0) into 0
47.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
47.247 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
47.249 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
47.252 * [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
47.252 * [taylor]: Taking taylor expansion of 0 in k
47.252 * [backup-simplify]: Simplify 0 into 0
47.252 * [backup-simplify]: Simplify 0 into 0
47.256 * [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))))))
47.257 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
47.257 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
47.257 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
47.257 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
47.257 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
47.257 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
47.257 * [taylor]: Taking taylor expansion of 1/2 in k
47.257 * [backup-simplify]: Simplify 1/2 into 1/2
47.257 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
47.257 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.257 * [taylor]: Taking taylor expansion of k in k
47.257 * [backup-simplify]: Simplify 0 into 0
47.257 * [backup-simplify]: Simplify 1 into 1
47.257 * [backup-simplify]: Simplify (/ 1 1) into 1
47.257 * [taylor]: Taking taylor expansion of 1 in k
47.257 * [backup-simplify]: Simplify 1 into 1
47.258 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
47.258 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
47.258 * [taylor]: Taking taylor expansion of -2 in k
47.258 * [backup-simplify]: Simplify -2 into -2
47.258 * [taylor]: Taking taylor expansion of (/ PI n) in k
47.258 * [taylor]: Taking taylor expansion of PI in k
47.258 * [backup-simplify]: Simplify PI into PI
47.258 * [taylor]: Taking taylor expansion of n in k
47.258 * [backup-simplify]: Simplify n into n
47.258 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
47.258 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
47.258 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
47.258 * [backup-simplify]: Simplify (+ 1 0) into 1
47.259 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
47.259 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
47.259 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
47.259 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
47.259 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
47.259 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
47.259 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
47.259 * [taylor]: Taking taylor expansion of 1/2 in n
47.259 * [backup-simplify]: Simplify 1/2 into 1/2
47.259 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
47.259 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.259 * [taylor]: Taking taylor expansion of k in n
47.259 * [backup-simplify]: Simplify k into k
47.260 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.260 * [taylor]: Taking taylor expansion of 1 in n
47.260 * [backup-simplify]: Simplify 1 into 1
47.260 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
47.260 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
47.260 * [taylor]: Taking taylor expansion of -2 in n
47.260 * [backup-simplify]: Simplify -2 into -2
47.260 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.260 * [taylor]: Taking taylor expansion of PI in n
47.260 * [backup-simplify]: Simplify PI into PI
47.260 * [taylor]: Taking taylor expansion of n in n
47.260 * [backup-simplify]: Simplify 0 into 0
47.260 * [backup-simplify]: Simplify 1 into 1
47.260 * [backup-simplify]: Simplify (/ PI 1) into PI
47.261 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.262 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
47.262 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
47.262 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
47.264 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.265 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
47.266 * [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)))))
47.266 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
47.266 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
47.266 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
47.266 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
47.266 * [taylor]: Taking taylor expansion of 1/2 in n
47.266 * [backup-simplify]: Simplify 1/2 into 1/2
47.266 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
47.266 * [taylor]: Taking taylor expansion of (/ 1 k) in n
47.266 * [taylor]: Taking taylor expansion of k in n
47.266 * [backup-simplify]: Simplify k into k
47.266 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
47.266 * [taylor]: Taking taylor expansion of 1 in n
47.267 * [backup-simplify]: Simplify 1 into 1
47.267 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
47.267 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
47.267 * [taylor]: Taking taylor expansion of -2 in n
47.267 * [backup-simplify]: Simplify -2 into -2
47.267 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.267 * [taylor]: Taking taylor expansion of PI in n
47.267 * [backup-simplify]: Simplify PI into PI
47.267 * [taylor]: Taking taylor expansion of n in n
47.267 * [backup-simplify]: Simplify 0 into 0
47.267 * [backup-simplify]: Simplify 1 into 1
47.267 * [backup-simplify]: Simplify (/ PI 1) into PI
47.268 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.268 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
47.269 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
47.269 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
47.270 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.270 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
47.271 * [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)))))
47.271 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
47.271 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
47.271 * [taylor]: Taking taylor expansion of 1/2 in k
47.271 * [backup-simplify]: Simplify 1/2 into 1/2
47.271 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
47.271 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
47.271 * [taylor]: Taking taylor expansion of (/ 1 k) in k
47.271 * [taylor]: Taking taylor expansion of k in k
47.271 * [backup-simplify]: Simplify 0 into 0
47.271 * [backup-simplify]: Simplify 1 into 1
47.271 * [backup-simplify]: Simplify (/ 1 1) into 1
47.272 * [taylor]: Taking taylor expansion of 1 in k
47.272 * [backup-simplify]: Simplify 1 into 1
47.272 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
47.272 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
47.272 * [taylor]: Taking taylor expansion of (* -2 PI) in k
47.272 * [taylor]: Taking taylor expansion of -2 in k
47.272 * [backup-simplify]: Simplify -2 into -2
47.272 * [taylor]: Taking taylor expansion of PI in k
47.272 * [backup-simplify]: Simplify PI into PI
47.272 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.273 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
47.273 * [taylor]: Taking taylor expansion of (log n) in k
47.273 * [taylor]: Taking taylor expansion of n in k
47.273 * [backup-simplify]: Simplify n into n
47.273 * [backup-simplify]: Simplify (log n) into (log n)
47.273 * [backup-simplify]: Simplify (+ 1 0) into 1
47.273 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
47.274 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
47.274 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
47.275 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
47.276 * [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)))))
47.277 * [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)))))
47.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.278 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
47.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
47.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
47.279 * [backup-simplify]: Simplify (+ 0 0) into 0
47.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
47.280 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.281 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
47.282 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
47.282 * [taylor]: Taking taylor expansion of 0 in k
47.282 * [backup-simplify]: Simplify 0 into 0
47.282 * [backup-simplify]: Simplify 0 into 0
47.282 * [backup-simplify]: Simplify 0 into 0
47.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.283 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
47.285 * [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
47.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.286 * [backup-simplify]: Simplify (+ 0 0) into 0
47.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
47.287 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.288 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
47.289 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.290 * [taylor]: Taking taylor expansion of 0 in k
47.290 * [backup-simplify]: Simplify 0 into 0
47.290 * [backup-simplify]: Simplify 0 into 0
47.290 * [backup-simplify]: Simplify 0 into 0
47.290 * [backup-simplify]: Simplify 0 into 0
47.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.291 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
47.294 * [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
47.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
47.295 * [backup-simplify]: Simplify (+ 0 0) into 0
47.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
47.297 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
47.298 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
47.299 * [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
47.299 * [taylor]: Taking taylor expansion of 0 in k
47.299 * [backup-simplify]: Simplify 0 into 0
47.299 * [backup-simplify]: Simplify 0 into 0
47.300 * [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))))))
47.300 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1)
47.301 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
47.301 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
47.301 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
47.301 * [taylor]: Taking taylor expansion of 2 in n
47.301 * [backup-simplify]: Simplify 2 into 2
47.301 * [taylor]: Taking taylor expansion of (* n PI) in n
47.301 * [taylor]: Taking taylor expansion of n in n
47.301 * [backup-simplify]: Simplify 0 into 0
47.301 * [backup-simplify]: Simplify 1 into 1
47.301 * [taylor]: Taking taylor expansion of PI in n
47.301 * [backup-simplify]: Simplify PI into PI
47.301 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
47.301 * [taylor]: Taking taylor expansion of 2 in n
47.301 * [backup-simplify]: Simplify 2 into 2
47.301 * [taylor]: Taking taylor expansion of (* n PI) in n
47.301 * [taylor]: Taking taylor expansion of n in n
47.301 * [backup-simplify]: Simplify 0 into 0
47.301 * [backup-simplify]: Simplify 1 into 1
47.301 * [taylor]: Taking taylor expansion of PI in n
47.301 * [backup-simplify]: Simplify PI into PI
47.301 * [backup-simplify]: Simplify (* 0 PI) into 0
47.301 * [backup-simplify]: Simplify (* 2 0) into 0
47.301 * [backup-simplify]: Simplify 0 into 0
47.302 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
47.303 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
47.304 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
47.305 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
47.305 * [backup-simplify]: Simplify 0 into 0
47.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
47.306 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
47.306 * [backup-simplify]: Simplify 0 into 0
47.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
47.308 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
47.308 * [backup-simplify]: Simplify 0 into 0
47.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
47.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
47.309 * [backup-simplify]: Simplify 0 into 0
47.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
47.311 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
47.311 * [backup-simplify]: Simplify 0 into 0
47.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
47.313 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
47.313 * [backup-simplify]: Simplify 0 into 0
47.314 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
47.314 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
47.314 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
47.314 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
47.314 * [taylor]: Taking taylor expansion of 2 in n
47.314 * [backup-simplify]: Simplify 2 into 2
47.314 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.314 * [taylor]: Taking taylor expansion of PI in n
47.314 * [backup-simplify]: Simplify PI into PI
47.314 * [taylor]: Taking taylor expansion of n in n
47.314 * [backup-simplify]: Simplify 0 into 0
47.314 * [backup-simplify]: Simplify 1 into 1
47.314 * [backup-simplify]: Simplify (/ PI 1) into PI
47.314 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
47.314 * [taylor]: Taking taylor expansion of 2 in n
47.314 * [backup-simplify]: Simplify 2 into 2
47.315 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.315 * [taylor]: Taking taylor expansion of PI in n
47.315 * [backup-simplify]: Simplify PI into PI
47.315 * [taylor]: Taking taylor expansion of n in n
47.315 * [backup-simplify]: Simplify 0 into 0
47.315 * [backup-simplify]: Simplify 1 into 1
47.315 * [backup-simplify]: Simplify (/ PI 1) into PI
47.315 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.315 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.316 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
47.316 * [backup-simplify]: Simplify 0 into 0
47.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.318 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
47.318 * [backup-simplify]: Simplify 0 into 0
47.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
47.319 * [backup-simplify]: Simplify 0 into 0
47.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.320 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
47.320 * [backup-simplify]: Simplify 0 into 0
47.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.322 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
47.322 * [backup-simplify]: Simplify 0 into 0
47.322 * [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
47.323 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
47.323 * [backup-simplify]: Simplify 0 into 0
47.324 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
47.324 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
47.324 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
47.324 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
47.324 * [taylor]: Taking taylor expansion of -2 in n
47.324 * [backup-simplify]: Simplify -2 into -2
47.324 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.324 * [taylor]: Taking taylor expansion of PI in n
47.324 * [backup-simplify]: Simplify PI into PI
47.324 * [taylor]: Taking taylor expansion of n in n
47.324 * [backup-simplify]: Simplify 0 into 0
47.324 * [backup-simplify]: Simplify 1 into 1
47.324 * [backup-simplify]: Simplify (/ PI 1) into PI
47.324 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
47.324 * [taylor]: Taking taylor expansion of -2 in n
47.324 * [backup-simplify]: Simplify -2 into -2
47.324 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.325 * [taylor]: Taking taylor expansion of PI in n
47.325 * [backup-simplify]: Simplify PI into PI
47.325 * [taylor]: Taking taylor expansion of n in n
47.325 * [backup-simplify]: Simplify 0 into 0
47.325 * [backup-simplify]: Simplify 1 into 1
47.325 * [backup-simplify]: Simplify (/ PI 1) into PI
47.325 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.325 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.326 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
47.326 * [backup-simplify]: Simplify 0 into 0
47.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.328 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
47.328 * [backup-simplify]: Simplify 0 into 0
47.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.330 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
47.330 * [backup-simplify]: Simplify 0 into 0
47.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.332 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
47.332 * [backup-simplify]: Simplify 0 into 0
47.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.335 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
47.335 * [backup-simplify]: Simplify 0 into 0
47.336 * [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
47.337 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
47.338 * [backup-simplify]: Simplify 0 into 0
47.338 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
47.338 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
47.339 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
47.339 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
47.339 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
47.339 * [taylor]: Taking taylor expansion of 2 in n
47.339 * [backup-simplify]: Simplify 2 into 2
47.339 * [taylor]: Taking taylor expansion of (* n PI) in n
47.339 * [taylor]: Taking taylor expansion of n in n
47.339 * [backup-simplify]: Simplify 0 into 0
47.339 * [backup-simplify]: Simplify 1 into 1
47.339 * [taylor]: Taking taylor expansion of PI in n
47.339 * [backup-simplify]: Simplify PI into PI
47.339 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
47.339 * [taylor]: Taking taylor expansion of 2 in n
47.339 * [backup-simplify]: Simplify 2 into 2
47.339 * [taylor]: Taking taylor expansion of (* n PI) in n
47.339 * [taylor]: Taking taylor expansion of n in n
47.339 * [backup-simplify]: Simplify 0 into 0
47.339 * [backup-simplify]: Simplify 1 into 1
47.339 * [taylor]: Taking taylor expansion of PI in n
47.339 * [backup-simplify]: Simplify PI into PI
47.340 * [backup-simplify]: Simplify (* 0 PI) into 0
47.340 * [backup-simplify]: Simplify (* 2 0) into 0
47.340 * [backup-simplify]: Simplify 0 into 0
47.342 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
47.343 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
47.344 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
47.346 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
47.346 * [backup-simplify]: Simplify 0 into 0
47.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
47.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
47.348 * [backup-simplify]: Simplify 0 into 0
47.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
47.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
47.351 * [backup-simplify]: Simplify 0 into 0
47.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
47.354 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
47.354 * [backup-simplify]: Simplify 0 into 0
47.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
47.357 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
47.357 * [backup-simplify]: Simplify 0 into 0
47.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
47.364 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
47.364 * [backup-simplify]: Simplify 0 into 0
47.365 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
47.365 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
47.365 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
47.365 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
47.365 * [taylor]: Taking taylor expansion of 2 in n
47.365 * [backup-simplify]: Simplify 2 into 2
47.365 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.365 * [taylor]: Taking taylor expansion of PI in n
47.365 * [backup-simplify]: Simplify PI into PI
47.365 * [taylor]: Taking taylor expansion of n in n
47.365 * [backup-simplify]: Simplify 0 into 0
47.365 * [backup-simplify]: Simplify 1 into 1
47.366 * [backup-simplify]: Simplify (/ PI 1) into PI
47.366 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
47.366 * [taylor]: Taking taylor expansion of 2 in n
47.366 * [backup-simplify]: Simplify 2 into 2
47.366 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.366 * [taylor]: Taking taylor expansion of PI in n
47.366 * [backup-simplify]: Simplify PI into PI
47.366 * [taylor]: Taking taylor expansion of n in n
47.366 * [backup-simplify]: Simplify 0 into 0
47.366 * [backup-simplify]: Simplify 1 into 1
47.367 * [backup-simplify]: Simplify (/ PI 1) into PI
47.367 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.368 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
47.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.369 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
47.369 * [backup-simplify]: Simplify 0 into 0
47.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.372 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
47.372 * [backup-simplify]: Simplify 0 into 0
47.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.373 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
47.373 * [backup-simplify]: Simplify 0 into 0
47.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.374 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
47.374 * [backup-simplify]: Simplify 0 into 0
47.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.376 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
47.376 * [backup-simplify]: Simplify 0 into 0
47.376 * [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
47.377 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
47.377 * [backup-simplify]: Simplify 0 into 0
47.378 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
47.378 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
47.378 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
47.378 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
47.378 * [taylor]: Taking taylor expansion of -2 in n
47.378 * [backup-simplify]: Simplify -2 into -2
47.378 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.378 * [taylor]: Taking taylor expansion of PI in n
47.378 * [backup-simplify]: Simplify PI into PI
47.378 * [taylor]: Taking taylor expansion of n in n
47.378 * [backup-simplify]: Simplify 0 into 0
47.378 * [backup-simplify]: Simplify 1 into 1
47.379 * [backup-simplify]: Simplify (/ PI 1) into PI
47.379 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
47.379 * [taylor]: Taking taylor expansion of -2 in n
47.379 * [backup-simplify]: Simplify -2 into -2
47.379 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.379 * [taylor]: Taking taylor expansion of PI in n
47.379 * [backup-simplify]: Simplify PI into PI
47.379 * [taylor]: Taking taylor expansion of n in n
47.379 * [backup-simplify]: Simplify 0 into 0
47.379 * [backup-simplify]: Simplify 1 into 1
47.379 * [backup-simplify]: Simplify (/ PI 1) into PI
47.379 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.380 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
47.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.381 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
47.381 * [backup-simplify]: Simplify 0 into 0
47.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.382 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
47.382 * [backup-simplify]: Simplify 0 into 0
47.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.383 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
47.383 * [backup-simplify]: Simplify 0 into 0
47.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.384 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
47.384 * [backup-simplify]: Simplify 0 into 0
47.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.386 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
47.386 * [backup-simplify]: Simplify 0 into 0
47.387 * [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
47.388 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
47.388 * [backup-simplify]: Simplify 0 into 0
47.388 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
47.388 * * * [progress]: simplifying candidates
47.388 * * * * [progress]: [ 1 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))))>
47.388 * * * * [progress]: [ 2 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))))>
47.388 * * * * [progress]: [ 3 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))))))>
47.388 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))
47.389 * * [simplify]: iters left: 6 (13 enodes)
47.393 * * [simplify]: iters left: 5 (54 enodes)
47.402 * * [simplify]: iters left: 4 (97 enodes)
47.436 * * [simplify]: iters left: 3 (250 enodes)
47.536 * * [simplify]: Extracting #0: cost 1 inf + 0
47.536 * * [simplify]: Extracting #1: cost 34 inf + 0
47.536 * * [simplify]: Extracting #2: cost 100 inf + 73
47.537 * * [simplify]: Extracting #3: cost 126 inf + 1867
47.540 * * [simplify]: Extracting #4: cost 46 inf + 20363
47.549 * * [simplify]: Extracting #5: cost 5 inf + 31901
47.556 * * [simplify]: Extracting #6: cost 0 inf + 33789
47.568 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)
47.568 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2))))))
47.568 * * * * [progress]: [ 4 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))))))>
47.568 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))
47.569 * * [simplify]: iters left: 6 (12 enodes)
47.576 * * [simplify]: iters left: 5 (52 enodes)
47.593 * * [simplify]: iters left: 4 (90 enodes)
47.626 * * [simplify]: iters left: 3 (207 enodes)
47.710 * * [simplify]: Extracting #0: cost 1 inf + 0
47.710 * * [simplify]: Extracting #1: cost 29 inf + 0
47.711 * * [simplify]: Extracting #2: cost 88 inf + 73
47.711 * * [simplify]: Extracting #3: cost 117 inf + 443
47.713 * * [simplify]: Extracting #4: cost 77 inf + 5789
47.720 * * [simplify]: Extracting #5: cost 28 inf + 17508
47.731 * * [simplify]: Extracting #6: cost 0 inf + 26056
47.737 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)
47.737 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2))))))
47.737 * * * * [progress]: [ 5 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))))))>
47.738 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
47.738 * * [simplify]: iters left: 6 (11 enodes)
47.741 * * [simplify]: iters left: 5 (51 enodes)
47.750 * * [simplify]: iters left: 4 (97 enodes)
47.779 * * [simplify]: iters left: 3 (201 enodes)
47.857 * * [simplify]: Extracting #0: cost 1 inf + 0
47.857 * * [simplify]: Extracting #1: cost 31 inf + 0
47.857 * * [simplify]: Extracting #2: cost 94 inf + 2
47.858 * * [simplify]: Extracting #3: cost 127 inf + 355
47.859 * * [simplify]: Extracting #4: cost 75 inf + 7402
47.865 * * [simplify]: Extracting #5: cost 31 inf + 16283
47.869 * * [simplify]: Extracting #6: cost 3 inf + 23308
47.878 * * [simplify]: Extracting #7: cost 0 inf + 24140
47.889 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)
47.889 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))))
47.890 * * * * [progress]: [ 6 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))))))>
47.890 * * * * [progress]: [ 7 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2)))))))>
47.890 * [simplify]: Simplifying (* n (* 2 PI))
47.890 * * [simplify]: iters left: 4 (5 enodes)
47.893 * * [simplify]: iters left: 3 (19 enodes)
47.899 * * [simplify]: iters left: 2 (27 enodes)
47.906 * * [simplify]: iters left: 1 (32 enodes)
47.910 * * [simplify]: Extracting #0: cost 1 inf + 0
47.910 * * [simplify]: Extracting #1: cost 8 inf + 0
47.910 * * [simplify]: Extracting #2: cost 7 inf + 45
47.910 * * [simplify]: Extracting #3: cost 0 inf + 421
47.911 * [simplify]: Simplified to (* (* PI 2) n)
47.911 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))))
47.911 * * * * [progress]: [ 8 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2)))))))>
47.911 * [simplify]: Simplifying (* n (* 2 PI))
47.911 * * [simplify]: iters left: 4 (5 enodes)
47.912 * * [simplify]: iters left: 3 (19 enodes)
47.915 * * [simplify]: iters left: 2 (27 enodes)
47.920 * * [simplify]: iters left: 1 (32 enodes)
47.924 * * [simplify]: Extracting #0: cost 1 inf + 0
47.924 * * [simplify]: Extracting #1: cost 8 inf + 0
47.924 * * [simplify]: Extracting #2: cost 7 inf + 45
47.924 * * [simplify]: Extracting #3: cost 0 inf + 421
47.924 * [simplify]: Simplified to (* (* PI 2) n)
47.924 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))))
47.924 * * * * [progress]: [ 9 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2)))))))>
47.925 * [simplify]: Simplifying (* n (* 2 PI))
47.925 * * [simplify]: iters left: 4 (5 enodes)
47.926 * * [simplify]: iters left: 3 (19 enodes)
47.929 * * [simplify]: iters left: 2 (27 enodes)
47.933 * * [simplify]: iters left: 1 (32 enodes)
47.938 * * [simplify]: Extracting #0: cost 1 inf + 0
47.939 * * [simplify]: Extracting #1: cost 8 inf + 0
47.939 * * [simplify]: Extracting #2: cost 7 inf + 45
47.939 * * [simplify]: Extracting #3: cost 0 inf + 421
47.939 * [simplify]: Simplified to (* (* PI 2) n)
47.939 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))))
47.940 * * * * [progress]: [ 10 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2)))))))>
47.940 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2))
47.940 * * [simplify]: iters left: 5 (8 enodes)
47.944 * * [simplify]: iters left: 4 (31 enodes)
47.955 * * [simplify]: iters left: 3 (51 enodes)
47.972 * * [simplify]: iters left: 2 (85 enodes)
47.990 * * [simplify]: iters left: 1 (152 enodes)
48.035 * * [simplify]: Extracting #0: cost 1 inf + 0
48.035 * * [simplify]: Extracting #1: cost 13 inf + 0
48.035 * * [simplify]: Extracting #2: cost 59 inf + 1
48.036 * * [simplify]: Extracting #3: cost 76 inf + 9
48.037 * * [simplify]: Extracting #4: cost 41 inf + 3303
48.040 * * [simplify]: Extracting #5: cost 16 inf + 10676
48.045 * * [simplify]: Extracting #6: cost 0 inf + 21028
48.051 * * [simplify]: Extracting #7: cost 0 inf + 20456
48.056 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
48.057 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))))))
48.057 * * * * [progress]: [ 11 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))))>
48.057 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2))
48.057 * * [simplify]: iters left: 5 (6 enodes)
48.062 * * [simplify]: iters left: 4 (26 enodes)
48.070 * * [simplify]: iters left: 3 (35 enodes)
48.081 * * [simplify]: Extracting #0: cost 1 inf + 0
48.081 * * [simplify]: Extracting #1: cost 3 inf + 0
48.081 * * [simplify]: Extracting #2: cost 8 inf + 0
48.081 * * [simplify]: Extracting #3: cost 11 inf + 2
48.081 * * [simplify]: Extracting #4: cost 8 inf + 87
48.082 * * [simplify]: Extracting #5: cost 2 inf + 500
48.082 * * [simplify]: Extracting #6: cost 0 inf + 746
48.082 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2))
48.082 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))))
48.083 * * * * [progress]: [ 12 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))))>
48.083 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2))
48.083 * * [simplify]: iters left: 5 (6 enodes)
48.087 * * [simplify]: iters left: 4 (26 enodes)
48.099 * * [simplify]: iters left: 3 (35 enodes)
48.110 * * [simplify]: Extracting #0: cost 1 inf + 0
48.110 * * [simplify]: Extracting #1: cost 3 inf + 0
48.110 * * [simplify]: Extracting #2: cost 8 inf + 0
48.110 * * [simplify]: Extracting #3: cost 11 inf + 2
48.110 * * [simplify]: Extracting #4: cost 8 inf + 87
48.110 * * [simplify]: Extracting #5: cost 2 inf + 460
48.111 * * [simplify]: Extracting #6: cost 0 inf + 666
48.111 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2))
48.111 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))))
48.111 * * * * [progress]: [ 13 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))))>
48.112 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2))
48.112 * * [simplify]: iters left: 5 (7 enodes)
48.116 * * [simplify]: iters left: 4 (25 enodes)
48.125 * * [simplify]: iters left: 3 (30 enodes)
48.134 * * [simplify]: Extracting #0: cost 1 inf + 0
48.134 * * [simplify]: Extracting #1: cost 4 inf + 0
48.134 * * [simplify]: Extracting #2: cost 8 inf + 0
48.134 * * [simplify]: Extracting #3: cost 10 inf + 82
48.134 * * [simplify]: Extracting #4: cost 7 inf + 206
48.135 * * [simplify]: Extracting #5: cost 2 inf + 575
48.135 * * [simplify]: Extracting #6: cost 1 inf + 818
48.135 * * [simplify]: Extracting #7: cost 0 inf + 1061
48.135 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2))
48.136 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))))
48.136 * * * * [progress]: [ 14 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))))>
48.136 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2))
48.136 * * [simplify]: iters left: 5 (7 enodes)
48.140 * * [simplify]: iters left: 4 (25 enodes)
48.149 * * [simplify]: iters left: 3 (30 enodes)
48.158 * * [simplify]: Extracting #0: cost 1 inf + 0
48.159 * * [simplify]: Extracting #1: cost 4 inf + 0
48.159 * * [simplify]: Extracting #2: cost 8 inf + 0
48.159 * * [simplify]: Extracting #3: cost 10 inf + 42
48.159 * * [simplify]: Extracting #4: cost 7 inf + 126
48.159 * * [simplify]: Extracting #5: cost 2 inf + 495
48.159 * * [simplify]: Extracting #6: cost 1 inf + 698
48.160 * * [simplify]: Extracting #7: cost 0 inf + 901
48.160 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2))
48.160 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))))
48.160 * * * * [progress]: [ 15 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))))>
48.161 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2)
48.161 * * [simplify]: iters left: 5 (6 enodes)
48.164 * * [simplify]: iters left: 4 (22 enodes)
48.172 * * [simplify]: iters left: 3 (27 enodes)
48.180 * * [simplify]: Extracting #0: cost 1 inf + 0
48.180 * * [simplify]: Extracting #1: cost 4 inf + 0
48.180 * * [simplify]: Extracting #2: cost 5 inf + 1
48.180 * * [simplify]: Extracting #3: cost 9 inf + 1
48.180 * * [simplify]: Extracting #4: cost 8 inf + 3
48.180 * * [simplify]: Extracting #5: cost 4 inf + 169
48.180 * * [simplify]: Extracting #6: cost 1 inf + 576
48.181 * * [simplify]: Extracting #7: cost 0 inf + 739
48.181 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
48.181 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))))
48.181 * * * * [progress]: [ 16 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))))>
48.182 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2))
48.182 * * [simplify]: iters left: 5 (7 enodes)
48.186 * * [simplify]: iters left: 4 (25 enodes)
48.195 * * [simplify]: iters left: 3 (30 enodes)
48.205 * * [simplify]: Extracting #0: cost 1 inf + 0
48.205 * * [simplify]: Extracting #1: cost 4 inf + 0
48.205 * * [simplify]: Extracting #2: cost 8 inf + 0
48.205 * * [simplify]: Extracting #3: cost 10 inf + 82
48.205 * * [simplify]: Extracting #4: cost 7 inf + 206
48.205 * * [simplify]: Extracting #5: cost 2 inf + 495
48.206 * * [simplify]: Extracting #6: cost 1 inf + 698
48.206 * * [simplify]: Extracting #7: cost 0 inf + 901
48.206 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2))
48.206 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))))
48.207 * * * * [progress]: [ 17 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))))>
48.207 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2))
48.207 * * [simplify]: iters left: 5 (7 enodes)
48.211 * * [simplify]: iters left: 4 (25 enodes)
48.220 * * [simplify]: iters left: 3 (30 enodes)
48.227 * * [simplify]: Extracting #0: cost 1 inf + 0
48.227 * * [simplify]: Extracting #1: cost 4 inf + 0
48.227 * * [simplify]: Extracting #2: cost 8 inf + 0
48.227 * * [simplify]: Extracting #3: cost 10 inf + 42
48.227 * * [simplify]: Extracting #4: cost 7 inf + 126
48.227 * * [simplify]: Extracting #5: cost 2 inf + 415
48.228 * * [simplify]: Extracting #6: cost 1 inf + 578
48.228 * * [simplify]: Extracting #7: cost 0 inf + 741
48.228 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2))
48.228 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))))
48.228 * * * * [progress]: [ 18 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))))>
48.228 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2)
48.228 * * [simplify]: iters left: 5 (6 enodes)
48.230 * * [simplify]: iters left: 4 (22 enodes)
48.234 * * [simplify]: iters left: 3 (27 enodes)
48.239 * * [simplify]: Extracting #0: cost 1 inf + 0
48.239 * * [simplify]: Extracting #1: cost 4 inf + 0
48.239 * * [simplify]: Extracting #2: cost 5 inf + 1
48.239 * * [simplify]: Extracting #3: cost 9 inf + 1
48.239 * * [simplify]: Extracting #4: cost 8 inf + 3
48.239 * * [simplify]: Extracting #5: cost 4 inf + 169
48.240 * * [simplify]: Extracting #6: cost 1 inf + 456
48.240 * * [simplify]: Extracting #7: cost 0 inf + 579
48.240 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
48.240 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))))
48.240 * * * * [progress]: [ 19 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))))>
48.240 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
48.240 * * [simplify]: iters left: 4 (6 enodes)
48.244 * * [simplify]: iters left: 3 (25 enodes)
48.249 * * [simplify]: iters left: 2 (36 enodes)
48.255 * * [simplify]: iters left: 1 (40 enodes)
48.264 * * [simplify]: Extracting #0: cost 1 inf + 0
48.264 * * [simplify]: Extracting #1: cost 7 inf + 0
48.264 * * [simplify]: Extracting #2: cost 16 inf + 0
48.264 * * [simplify]: Extracting #3: cost 13 inf + 44
48.264 * * [simplify]: Extracting #4: cost 3 inf + 1103
48.264 * * [simplify]: Extracting #5: cost 0 inf + 1469
48.264 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
48.264 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))))
48.265 * * * * [progress]: [ 20 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))))>
48.265 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
48.265 * * [simplify]: iters left: 4 (6 enodes)
48.267 * * [simplify]: iters left: 3 (25 enodes)
48.272 * * [simplify]: iters left: 2 (36 enodes)
48.278 * * [simplify]: iters left: 1 (40 enodes)
48.284 * * [simplify]: Extracting #0: cost 1 inf + 0
48.284 * * [simplify]: Extracting #1: cost 7 inf + 0
48.284 * * [simplify]: Extracting #2: cost 16 inf + 0
48.284 * * [simplify]: Extracting #3: cost 13 inf + 44
48.284 * * [simplify]: Extracting #4: cost 3 inf + 823
48.285 * * [simplify]: Extracting #5: cost 0 inf + 1069
48.285 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
48.285 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))))
48.285 * * * * [progress]: [ 21 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))))>
48.285 * [simplify]: Simplifying (/ (- 1 k) 2)
48.285 * * [simplify]: iters left: 4 (5 enodes)
48.287 * * [simplify]: iters left: 3 (23 enodes)
48.291 * * [simplify]: iters left: 2 (32 enodes)
48.301 * * [simplify]: Extracting #0: cost 1 inf + 0
48.301 * * [simplify]: Extracting #1: cost 6 inf + 0
48.301 * * [simplify]: Extracting #2: cost 9 inf + 2
48.301 * * [simplify]: Extracting #3: cost 6 inf + 87
48.302 * * [simplify]: Extracting #4: cost 0 inf + 420
48.302 * [simplify]: Simplified to (/ (- 1 k) 2)
48.302 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))))
48.302 * * * * [progress]: [ 22 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))))>
48.302 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2))
48.303 * * [simplify]: iters left: 5 (8 enodes)
48.308 * * [simplify]: iters left: 4 (31 enodes)
48.319 * * [simplify]: iters left: 3 (45 enodes)
48.331 * * [simplify]: iters left: 2 (51 enodes)
48.345 * * [simplify]: iters left: 1 (52 enodes)
48.362 * * [simplify]: Extracting #0: cost 1 inf + 0
48.362 * * [simplify]: Extracting #1: cost 8 inf + 0
48.362 * * [simplify]: Extracting #2: cost 18 inf + 0
48.362 * * [simplify]: Extracting #3: cost 19 inf + 2
48.362 * * [simplify]: Extracting #4: cost 9 inf + 977
48.363 * * [simplify]: Extracting #5: cost 2 inf + 1790
48.364 * * [simplify]: Extracting #6: cost 0 inf + 2195
48.364 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
48.364 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))))
48.365 * * * * [progress]: [ 23 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))))>
48.365 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2))
48.365 * * [simplify]: iters left: 5 (8 enodes)
48.370 * * [simplify]: iters left: 4 (31 enodes)
48.381 * * [simplify]: iters left: 3 (45 enodes)
48.394 * * [simplify]: iters left: 2 (51 enodes)
48.408 * * [simplify]: iters left: 1 (52 enodes)
48.422 * * [simplify]: Extracting #0: cost 1 inf + 0
48.422 * * [simplify]: Extracting #1: cost 8 inf + 0
48.422 * * [simplify]: Extracting #2: cost 18 inf + 0
48.422 * * [simplify]: Extracting #3: cost 19 inf + 2
48.422 * * [simplify]: Extracting #4: cost 9 inf + 697
48.423 * * [simplify]: Extracting #5: cost 2 inf + 1390
48.424 * * [simplify]: Extracting #6: cost 0 inf + 1715
48.424 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
48.424 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))))
48.425 * * * * [progress]: [ 24 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))))>
48.425 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2)
48.425 * * [simplify]: iters left: 5 (7 enodes)
48.430 * * [simplify]: iters left: 4 (29 enodes)
48.440 * * [simplify]: iters left: 3 (43 enodes)
48.451 * * [simplify]: iters left: 2 (47 enodes)
48.464 * * [simplify]: Extracting #0: cost 1 inf + 0
48.464 * * [simplify]: Extracting #1: cost 7 inf + 0
48.464 * * [simplify]: Extracting #2: cost 11 inf + 2
48.464 * * [simplify]: Extracting #3: cost 13 inf + 3
48.464 * * [simplify]: Extracting #4: cost 11 inf + 45
48.464 * * [simplify]: Extracting #5: cost 0 inf + 1066
48.465 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
48.465 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))
48.465 * * * * [progress]: [ 25 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))))>
48.466 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2))
48.466 * * [simplify]: iters left: 5 (7 enodes)
48.471 * * [simplify]: iters left: 4 (28 enodes)
48.478 * * [simplify]: iters left: 3 (39 enodes)
48.485 * * [simplify]: iters left: 2 (43 enodes)
48.492 * * [simplify]: Extracting #0: cost 1 inf + 0
48.492 * * [simplify]: Extracting #1: cost 7 inf + 0
48.492 * * [simplify]: Extracting #2: cost 16 inf + 0
48.492 * * [simplify]: Extracting #3: cost 15 inf + 164
48.492 * * [simplify]: Extracting #4: cost 13 inf + 287
48.492 * * [simplify]: Extracting #5: cost 5 inf + 1180
48.493 * * [simplify]: Extracting #6: cost 0 inf + 1951
48.493 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
48.493 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))))
48.493 * * * * [progress]: [ 26 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))))>
48.493 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2))
48.493 * * [simplify]: iters left: 5 (7 enodes)
48.496 * * [simplify]: iters left: 4 (28 enodes)
48.502 * * [simplify]: iters left: 3 (39 enodes)
48.512 * * [simplify]: iters left: 2 (43 enodes)
48.525 * * [simplify]: Extracting #0: cost 1 inf + 0
48.525 * * [simplify]: Extracting #1: cost 7 inf + 0
48.525 * * [simplify]: Extracting #2: cost 16 inf + 0
48.525 * * [simplify]: Extracting #3: cost 15 inf + 84
48.525 * * [simplify]: Extracting #4: cost 13 inf + 167
48.525 * * [simplify]: Extracting #5: cost 5 inf + 900
48.526 * * [simplify]: Extracting #6: cost 0 inf + 1551
48.527 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
48.527 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))))
48.527 * * * * [progress]: [ 27 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))>
48.527 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2)
48.527 * * [simplify]: iters left: 5 (6 enodes)
48.531 * * [simplify]: iters left: 4 (26 enodes)
48.540 * * [simplify]: iters left: 3 (35 enodes)
48.550 * * [simplify]: Extracting #0: cost 1 inf + 0
48.550 * * [simplify]: Extracting #1: cost 6 inf + 0
48.550 * * [simplify]: Extracting #2: cost 9 inf + 2
48.550 * * [simplify]: Extracting #3: cost 11 inf + 3
48.551 * * [simplify]: Extracting #4: cost 10 inf + 4
48.551 * * [simplify]: Extracting #5: cost 3 inf + 535
48.551 * * [simplify]: Extracting #6: cost 0 inf + 822
48.551 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
48.551 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))))
48.552 * * * * [progress]: [ 28 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))))>
48.552 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
48.552 * * [simplify]: iters left: 4 (6 enodes)
48.556 * * [simplify]: iters left: 3 (25 enodes)
48.565 * * [simplify]: iters left: 2 (36 enodes)
48.578 * * [simplify]: iters left: 1 (40 enodes)
48.589 * * [simplify]: Extracting #0: cost 1 inf + 0
48.590 * * [simplify]: Extracting #1: cost 7 inf + 0
48.590 * * [simplify]: Extracting #2: cost 16 inf + 0
48.590 * * [simplify]: Extracting #3: cost 13 inf + 44
48.590 * * [simplify]: Extracting #4: cost 3 inf + 1103
48.591 * * [simplify]: Extracting #5: cost 0 inf + 1469
48.591 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
48.591 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))))
48.592 * * * * [progress]: [ 29 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))))>
48.592 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
48.592 * * [simplify]: iters left: 4 (6 enodes)
48.596 * * [simplify]: iters left: 3 (25 enodes)
48.603 * * [simplify]: iters left: 2 (36 enodes)
48.609 * * [simplify]: iters left: 1 (40 enodes)
48.615 * * [simplify]: Extracting #0: cost 1 inf + 0
48.615 * * [simplify]: Extracting #1: cost 7 inf + 0
48.615 * * [simplify]: Extracting #2: cost 16 inf + 0
48.615 * * [simplify]: Extracting #3: cost 13 inf + 44
48.615 * * [simplify]: Extracting #4: cost 3 inf + 823
48.615 * * [simplify]: Extracting #5: cost 0 inf + 1069
48.616 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
48.616 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))))
48.616 * * * * [progress]: [ 30 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))))>
48.616 * [simplify]: Simplifying (/ (- 1 k) 2)
48.616 * * [simplify]: iters left: 4 (5 enodes)
48.618 * * [simplify]: iters left: 3 (23 enodes)
48.622 * * [simplify]: iters left: 2 (32 enodes)
48.627 * * [simplify]: Extracting #0: cost 1 inf + 0
48.627 * * [simplify]: Extracting #1: cost 6 inf + 0
48.627 * * [simplify]: Extracting #2: cost 9 inf + 2
48.627 * * [simplify]: Extracting #3: cost 6 inf + 87
48.627 * * [simplify]: Extracting #4: cost 0 inf + 420
48.628 * [simplify]: Simplified to (/ (- 1 k) 2)
48.628 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))))
48.628 * * * * [progress]: [ 31 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))))))>
48.628 * [simplify]: Simplifying (/ (- 1 k) 2)
48.628 * * [simplify]: iters left: 4 (5 enodes)
48.635 * * [simplify]: iters left: 3 (23 enodes)
48.643 * * [simplify]: iters left: 2 (32 enodes)
48.649 * * [simplify]: Extracting #0: cost 1 inf + 0
48.649 * * [simplify]: Extracting #1: cost 6 inf + 0
48.649 * * [simplify]: Extracting #2: cost 9 inf + 2
48.649 * * [simplify]: Extracting #3: cost 6 inf + 87
48.649 * * [simplify]: Extracting #4: cost 0 inf + 420
48.649 * [simplify]: Simplified to (/ (- 1 k) 2)
48.649 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))))))
48.649 * * * * [progress]: [ 32 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2))))))>
48.649 * [simplify]: Simplifying (/ 1 2)
48.649 * * [simplify]: iters left: 2 (3 enodes)
48.651 * * [simplify]: iters left: 1 (12 enodes)
48.654 * * [simplify]: Extracting #0: cost 1 inf + 0
48.654 * * [simplify]: Extracting #1: cost 0 inf + 1
48.654 * [simplify]: Simplified to 1/2
48.654 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2)))))
48.654 * * * * [progress]: [ 33 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))))))>
48.654 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
48.654 * * [simplify]: iters left: 5 (7 enodes)
48.657 * * [simplify]: iters left: 4 (32 enodes)
48.663 * * [simplify]: iters left: 3 (57 enodes)
48.673 * * [simplify]: iters left: 2 (88 enodes)
48.702 * * [simplify]: iters left: 1 (156 enodes)
48.739 * * [simplify]: Extracting #0: cost 1 inf + 0
48.739 * * [simplify]: Extracting #1: cost 13 inf + 0
48.739 * * [simplify]: Extracting #2: cost 49 inf + 2
48.739 * * [simplify]: Extracting #3: cost 80 inf + 6
48.740 * * [simplify]: Extracting #4: cost 58 inf + 1840
48.743 * * [simplify]: Extracting #5: cost 22 inf + 9206
48.749 * * [simplify]: Extracting #6: cost 1 inf + 20886
48.756 * * [simplify]: Extracting #7: cost 0 inf + 21301
48.762 * * [simplify]: Extracting #8: cost 0 inf + 21130
48.767 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
48.768 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))))))
48.768 * * * * [progress]: [ 34 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1)))))>
48.768 * * * * [progress]: [ 35 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))))>
48.768 * * * * [progress]: [ 36 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))))>
48.768 * * * * [progress]: [ 37 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))))>
48.768 * * * * [progress]: [ 38 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))))>
48.768 * * * * [progress]: [ 39 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))))>
48.768 * * * * [progress]: [ 40 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))>
48.768 * * * * [progress]: [ 41 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
48.768 * * * * [progress]: [ 42 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))))>
48.768 * * * * [progress]: [ 43 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
48.769 * * * * [progress]: [ 44 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
48.769 * * * * [progress]: [ 45 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
48.769 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))
48.769 * * [simplify]: iters left: 6 (13 enodes)
48.777 * * [simplify]: iters left: 5 (54 enodes)
48.794 * * [simplify]: iters left: 4 (97 enodes)
48.826 * * [simplify]: iters left: 3 (250 enodes)
48.910 * * [simplify]: Extracting #0: cost 1 inf + 0
48.910 * * [simplify]: Extracting #1: cost 34 inf + 0
48.911 * * [simplify]: Extracting #2: cost 100 inf + 73
48.912 * * [simplify]: Extracting #3: cost 126 inf + 1867
48.919 * * [simplify]: Extracting #4: cost 46 inf + 20363
48.932 * * [simplify]: Extracting #5: cost 5 inf + 31901
48.947 * * [simplify]: Extracting #6: cost 0 inf + 33789
48.962 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)
48.962 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (sqrt (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
48.962 * * * * [progress]: [ 46 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
48.963 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))
48.963 * * [simplify]: iters left: 6 (12 enodes)
48.971 * * [simplify]: iters left: 5 (52 enodes)
48.988 * * [simplify]: iters left: 4 (90 enodes)
49.021 * * [simplify]: iters left: 3 (207 enodes)
49.133 * * [simplify]: Extracting #0: cost 1 inf + 0
49.133 * * [simplify]: Extracting #1: cost 29 inf + 0
49.134 * * [simplify]: Extracting #2: cost 88 inf + 73
49.135 * * [simplify]: Extracting #3: cost 117 inf + 443
49.137 * * [simplify]: Extracting #4: cost 77 inf + 5789
49.144 * * [simplify]: Extracting #5: cost 28 inf + 17508
49.155 * * [simplify]: Extracting #6: cost 0 inf + 26056
49.166 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)
49.166 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (sqrt (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.166 * * * * [progress]: [ 47 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.167 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
49.167 * * [simplify]: iters left: 6 (11 enodes)
49.174 * * [simplify]: iters left: 5 (51 enodes)
49.191 * * [simplify]: iters left: 4 (97 enodes)
49.215 * * [simplify]: iters left: 3 (201 enodes)
49.289 * * [simplify]: Extracting #0: cost 1 inf + 0
49.290 * * [simplify]: Extracting #1: cost 31 inf + 0
49.290 * * [simplify]: Extracting #2: cost 94 inf + 2
49.290 * * [simplify]: Extracting #3: cost 127 inf + 355
49.292 * * [simplify]: Extracting #4: cost 75 inf + 7402
49.295 * * [simplify]: Extracting #5: cost 31 inf + 16283
49.300 * * [simplify]: Extracting #6: cost 3 inf + 23308
49.305 * * [simplify]: Extracting #7: cost 0 inf + 24140
49.310 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)
49.310 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (sqrt (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.310 * * * * [progress]: [ 48 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.310 * * * * [progress]: [ 49 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.311 * [simplify]: Simplifying (* n (* 2 PI))
49.311 * * [simplify]: iters left: 4 (5 enodes)
49.312 * * [simplify]: iters left: 3 (19 enodes)
49.315 * * [simplify]: iters left: 2 (27 enodes)
49.320 * * [simplify]: iters left: 1 (32 enodes)
49.324 * * [simplify]: Extracting #0: cost 1 inf + 0
49.324 * * [simplify]: Extracting #1: cost 8 inf + 0
49.324 * * [simplify]: Extracting #2: cost 7 inf + 45
49.324 * * [simplify]: Extracting #3: cost 0 inf + 421
49.325 * [simplify]: Simplified to (* (* PI 2) n)
49.325 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.325 * * * * [progress]: [ 50 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.325 * [simplify]: Simplifying (* n (* 2 PI))
49.325 * * [simplify]: iters left: 4 (5 enodes)
49.327 * * [simplify]: iters left: 3 (19 enodes)
49.330 * * [simplify]: iters left: 2 (27 enodes)
49.333 * * [simplify]: iters left: 1 (32 enodes)
49.337 * * [simplify]: Extracting #0: cost 1 inf + 0
49.338 * * [simplify]: Extracting #1: cost 8 inf + 0
49.338 * * [simplify]: Extracting #2: cost 7 inf + 45
49.338 * * [simplify]: Extracting #3: cost 0 inf + 421
49.338 * [simplify]: Simplified to (* (* PI 2) n)
49.338 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.338 * * * * [progress]: [ 51 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.338 * [simplify]: Simplifying (* n (* 2 PI))
49.338 * * [simplify]: iters left: 4 (5 enodes)
49.340 * * [simplify]: iters left: 3 (19 enodes)
49.343 * * [simplify]: iters left: 2 (27 enodes)
49.347 * * [simplify]: iters left: 1 (32 enodes)
49.351 * * [simplify]: Extracting #0: cost 1 inf + 0
49.351 * * [simplify]: Extracting #1: cost 8 inf + 0
49.351 * * [simplify]: Extracting #2: cost 7 inf + 45
49.351 * * [simplify]: Extracting #3: cost 0 inf + 421
49.351 * [simplify]: Simplified to (* (* PI 2) n)
49.351 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.351 * * * * [progress]: [ 52 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.352 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2))
49.352 * * [simplify]: iters left: 5 (8 enodes)
49.354 * * [simplify]: iters left: 4 (31 enodes)
49.359 * * [simplify]: iters left: 3 (51 enodes)
49.369 * * [simplify]: iters left: 2 (85 enodes)
49.390 * * [simplify]: iters left: 1 (152 enodes)
49.447 * * [simplify]: Extracting #0: cost 1 inf + 0
49.447 * * [simplify]: Extracting #1: cost 13 inf + 0
49.447 * * [simplify]: Extracting #2: cost 59 inf + 1
49.448 * * [simplify]: Extracting #3: cost 76 inf + 9
49.449 * * [simplify]: Extracting #4: cost 41 inf + 3303
49.452 * * [simplify]: Extracting #5: cost 16 inf + 10676
49.457 * * [simplify]: Extracting #6: cost 0 inf + 21028
49.463 * * [simplify]: Extracting #7: cost 0 inf + 20456
49.468 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
49.468 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.468 * * * * [progress]: [ 53 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.469 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2))
49.469 * * [simplify]: iters left: 5 (6 enodes)
49.473 * * [simplify]: iters left: 4 (26 enodes)
49.482 * * [simplify]: iters left: 3 (35 enodes)
49.493 * * [simplify]: Extracting #0: cost 1 inf + 0
49.493 * * [simplify]: Extracting #1: cost 3 inf + 0
49.493 * * [simplify]: Extracting #2: cost 8 inf + 0
49.493 * * [simplify]: Extracting #3: cost 11 inf + 2
49.493 * * [simplify]: Extracting #4: cost 8 inf + 87
49.493 * * [simplify]: Extracting #5: cost 2 inf + 500
49.494 * * [simplify]: Extracting #6: cost 0 inf + 746
49.497 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2))
49.498 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.498 * * * * [progress]: [ 54 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.498 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2))
49.498 * * [simplify]: iters left: 5 (6 enodes)
49.503 * * [simplify]: iters left: 4 (26 enodes)
49.512 * * [simplify]: iters left: 3 (35 enodes)
49.522 * * [simplify]: Extracting #0: cost 1 inf + 0
49.522 * * [simplify]: Extracting #1: cost 3 inf + 0
49.522 * * [simplify]: Extracting #2: cost 8 inf + 0
49.522 * * [simplify]: Extracting #3: cost 11 inf + 2
49.523 * * [simplify]: Extracting #4: cost 8 inf + 87
49.523 * * [simplify]: Extracting #5: cost 2 inf + 460
49.523 * * [simplify]: Extracting #6: cost 0 inf + 666
49.524 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2))
49.524 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.524 * * * * [progress]: [ 55 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.524 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2))
49.524 * * [simplify]: iters left: 5 (7 enodes)
49.529 * * [simplify]: iters left: 4 (25 enodes)
49.537 * * [simplify]: iters left: 3 (30 enodes)
49.547 * * [simplify]: Extracting #0: cost 1 inf + 0
49.547 * * [simplify]: Extracting #1: cost 4 inf + 0
49.547 * * [simplify]: Extracting #2: cost 8 inf + 0
49.547 * * [simplify]: Extracting #3: cost 10 inf + 82
49.547 * * [simplify]: Extracting #4: cost 7 inf + 206
49.547 * * [simplify]: Extracting #5: cost 2 inf + 575
49.548 * * [simplify]: Extracting #6: cost 1 inf + 818
49.548 * * [simplify]: Extracting #7: cost 0 inf + 1061
49.548 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2))
49.548 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.549 * * * * [progress]: [ 56 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.549 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2))
49.549 * * [simplify]: iters left: 5 (7 enodes)
49.554 * * [simplify]: iters left: 4 (25 enodes)
49.562 * * [simplify]: iters left: 3 (30 enodes)
49.571 * * [simplify]: Extracting #0: cost 1 inf + 0
49.571 * * [simplify]: Extracting #1: cost 4 inf + 0
49.571 * * [simplify]: Extracting #2: cost 8 inf + 0
49.571 * * [simplify]: Extracting #3: cost 10 inf + 42
49.571 * * [simplify]: Extracting #4: cost 7 inf + 126
49.571 * * [simplify]: Extracting #5: cost 2 inf + 495
49.572 * * [simplify]: Extracting #6: cost 1 inf + 698
49.572 * * [simplify]: Extracting #7: cost 0 inf + 901
49.572 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2))
49.572 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.572 * * * * [progress]: [ 57 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.573 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2)
49.573 * * [simplify]: iters left: 5 (6 enodes)
49.576 * * [simplify]: iters left: 4 (22 enodes)
49.583 * * [simplify]: iters left: 3 (27 enodes)
49.592 * * [simplify]: Extracting #0: cost 1 inf + 0
49.592 * * [simplify]: Extracting #1: cost 4 inf + 0
49.592 * * [simplify]: Extracting #2: cost 5 inf + 1
49.592 * * [simplify]: Extracting #3: cost 9 inf + 1
49.592 * * [simplify]: Extracting #4: cost 8 inf + 3
49.592 * * [simplify]: Extracting #5: cost 4 inf + 169
49.592 * * [simplify]: Extracting #6: cost 1 inf + 576
49.593 * * [simplify]: Extracting #7: cost 0 inf + 739
49.593 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
49.593 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.593 * * * * [progress]: [ 58 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.593 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2))
49.593 * * [simplify]: iters left: 5 (7 enodes)
49.598 * * [simplify]: iters left: 4 (25 enodes)
49.606 * * [simplify]: iters left: 3 (30 enodes)
49.616 * * [simplify]: Extracting #0: cost 1 inf + 0
49.616 * * [simplify]: Extracting #1: cost 4 inf + 0
49.616 * * [simplify]: Extracting #2: cost 8 inf + 0
49.616 * * [simplify]: Extracting #3: cost 10 inf + 82
49.616 * * [simplify]: Extracting #4: cost 7 inf + 206
49.616 * * [simplify]: Extracting #5: cost 2 inf + 495
49.616 * * [simplify]: Extracting #6: cost 1 inf + 698
49.617 * * [simplify]: Extracting #7: cost 0 inf + 901
49.617 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2))
49.617 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.617 * * * * [progress]: [ 59 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.618 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2))
49.618 * * [simplify]: iters left: 5 (7 enodes)
49.622 * * [simplify]: iters left: 4 (25 enodes)
49.630 * * [simplify]: iters left: 3 (30 enodes)
49.639 * * [simplify]: Extracting #0: cost 1 inf + 0
49.639 * * [simplify]: Extracting #1: cost 4 inf + 0
49.639 * * [simplify]: Extracting #2: cost 8 inf + 0
49.639 * * [simplify]: Extracting #3: cost 10 inf + 42
49.639 * * [simplify]: Extracting #4: cost 7 inf + 126
49.640 * * [simplify]: Extracting #5: cost 2 inf + 415
49.640 * * [simplify]: Extracting #6: cost 1 inf + 578
49.640 * * [simplify]: Extracting #7: cost 0 inf + 741
49.641 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2))
49.641 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.641 * * * * [progress]: [ 60 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.641 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2)
49.641 * * [simplify]: iters left: 5 (6 enodes)
49.645 * * [simplify]: iters left: 4 (22 enodes)
49.654 * * [simplify]: iters left: 3 (27 enodes)
49.663 * * [simplify]: Extracting #0: cost 1 inf + 0
49.663 * * [simplify]: Extracting #1: cost 4 inf + 0
49.663 * * [simplify]: Extracting #2: cost 5 inf + 1
49.663 * * [simplify]: Extracting #3: cost 9 inf + 1
49.663 * * [simplify]: Extracting #4: cost 8 inf + 3
49.663 * * [simplify]: Extracting #5: cost 4 inf + 169
49.663 * * [simplify]: Extracting #6: cost 1 inf + 456
49.664 * * [simplify]: Extracting #7: cost 0 inf + 579
49.664 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
49.664 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.664 * * * * [progress]: [ 61 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.664 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
49.665 * * [simplify]: iters left: 4 (6 enodes)
49.669 * * [simplify]: iters left: 3 (25 enodes)
49.678 * * [simplify]: iters left: 2 (36 enodes)
49.689 * * [simplify]: iters left: 1 (40 enodes)
49.699 * * [simplify]: Extracting #0: cost 1 inf + 0
49.699 * * [simplify]: Extracting #1: cost 7 inf + 0
49.699 * * [simplify]: Extracting #2: cost 16 inf + 0
49.699 * * [simplify]: Extracting #3: cost 13 inf + 44
49.699 * * [simplify]: Extracting #4: cost 3 inf + 1103
49.700 * * [simplify]: Extracting #5: cost 0 inf + 1469
49.700 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
49.700 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.700 * * * * [progress]: [ 62 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.700 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
49.700 * * [simplify]: iters left: 4 (6 enodes)
49.702 * * [simplify]: iters left: 3 (25 enodes)
49.707 * * [simplify]: iters left: 2 (36 enodes)
49.713 * * [simplify]: iters left: 1 (40 enodes)
49.719 * * [simplify]: Extracting #0: cost 1 inf + 0
49.719 * * [simplify]: Extracting #1: cost 7 inf + 0
49.719 * * [simplify]: Extracting #2: cost 16 inf + 0
49.719 * * [simplify]: Extracting #3: cost 13 inf + 44
49.719 * * [simplify]: Extracting #4: cost 3 inf + 823
49.719 * * [simplify]: Extracting #5: cost 0 inf + 1069
49.719 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
49.719 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.720 * * * * [progress]: [ 63 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.720 * [simplify]: Simplifying (/ (- 1 k) 2)
49.720 * * [simplify]: iters left: 4 (5 enodes)
49.722 * * [simplify]: iters left: 3 (23 enodes)
49.726 * * [simplify]: iters left: 2 (32 enodes)
49.733 * * [simplify]: Extracting #0: cost 1 inf + 0
49.733 * * [simplify]: Extracting #1: cost 6 inf + 0
49.733 * * [simplify]: Extracting #2: cost 9 inf + 2
49.733 * * [simplify]: Extracting #3: cost 6 inf + 87
49.733 * * [simplify]: Extracting #4: cost 0 inf + 420
49.734 * [simplify]: Simplified to (/ (- 1 k) 2)
49.734 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.734 * * * * [progress]: [ 64 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.734 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2))
49.734 * * [simplify]: iters left: 5 (8 enodes)
49.739 * * [simplify]: iters left: 4 (31 enodes)
49.750 * * [simplify]: iters left: 3 (45 enodes)
49.762 * * [simplify]: iters left: 2 (51 enodes)
49.778 * * [simplify]: iters left: 1 (52 enodes)
49.792 * * [simplify]: Extracting #0: cost 1 inf + 0
49.793 * * [simplify]: Extracting #1: cost 8 inf + 0
49.793 * * [simplify]: Extracting #2: cost 18 inf + 0
49.793 * * [simplify]: Extracting #3: cost 19 inf + 2
49.793 * * [simplify]: Extracting #4: cost 9 inf + 977
49.794 * * [simplify]: Extracting #5: cost 2 inf + 1790
49.795 * * [simplify]: Extracting #6: cost 0 inf + 2195
49.795 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
49.795 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.796 * * * * [progress]: [ 65 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.796 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2))
49.796 * * [simplify]: iters left: 5 (8 enodes)
49.803 * * [simplify]: iters left: 4 (31 enodes)
49.813 * * [simplify]: iters left: 3 (45 enodes)
49.826 * * [simplify]: iters left: 2 (51 enodes)
49.840 * * [simplify]: iters left: 1 (52 enodes)
49.847 * * [simplify]: Extracting #0: cost 1 inf + 0
49.847 * * [simplify]: Extracting #1: cost 8 inf + 0
49.847 * * [simplify]: Extracting #2: cost 18 inf + 0
49.847 * * [simplify]: Extracting #3: cost 19 inf + 2
49.847 * * [simplify]: Extracting #4: cost 9 inf + 697
49.848 * * [simplify]: Extracting #5: cost 2 inf + 1390
49.848 * * [simplify]: Extracting #6: cost 0 inf + 1715
49.848 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
49.848 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.848 * * * * [progress]: [ 66 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.849 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2)
49.849 * * [simplify]: iters left: 5 (7 enodes)
49.851 * * [simplify]: iters left: 4 (29 enodes)
49.857 * * [simplify]: iters left: 3 (43 enodes)
49.864 * * [simplify]: iters left: 2 (47 enodes)
49.871 * * [simplify]: Extracting #0: cost 1 inf + 0
49.872 * * [simplify]: Extracting #1: cost 7 inf + 0
49.872 * * [simplify]: Extracting #2: cost 11 inf + 2
49.872 * * [simplify]: Extracting #3: cost 13 inf + 3
49.872 * * [simplify]: Extracting #4: cost 11 inf + 45
49.872 * * [simplify]: Extracting #5: cost 0 inf + 1066
49.873 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
49.873 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.873 * * * * [progress]: [ 67 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.873 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2))
49.873 * * [simplify]: iters left: 5 (7 enodes)
49.878 * * [simplify]: iters left: 4 (28 enodes)
49.888 * * [simplify]: iters left: 3 (39 enodes)
49.900 * * [simplify]: iters left: 2 (43 enodes)
49.916 * * [simplify]: Extracting #0: cost 1 inf + 0
49.916 * * [simplify]: Extracting #1: cost 7 inf + 0
49.916 * * [simplify]: Extracting #2: cost 16 inf + 0
49.916 * * [simplify]: Extracting #3: cost 15 inf + 164
49.916 * * [simplify]: Extracting #4: cost 13 inf + 287
49.917 * * [simplify]: Extracting #5: cost 5 inf + 1180
49.917 * * [simplify]: Extracting #6: cost 0 inf + 1951
49.918 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
49.918 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.918 * * * * [progress]: [ 68 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.919 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2))
49.919 * * [simplify]: iters left: 5 (7 enodes)
49.923 * * [simplify]: iters left: 4 (28 enodes)
49.931 * * [simplify]: iters left: 3 (39 enodes)
49.937 * * [simplify]: iters left: 2 (43 enodes)
49.943 * * [simplify]: Extracting #0: cost 1 inf + 0
49.943 * * [simplify]: Extracting #1: cost 7 inf + 0
49.944 * * [simplify]: Extracting #2: cost 16 inf + 0
49.944 * * [simplify]: Extracting #3: cost 15 inf + 84
49.944 * * [simplify]: Extracting #4: cost 13 inf + 167
49.944 * * [simplify]: Extracting #5: cost 5 inf + 900
49.944 * * [simplify]: Extracting #6: cost 0 inf + 1551
49.945 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
49.945 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.945 * * * * [progress]: [ 69 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.945 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2)
49.945 * * [simplify]: iters left: 5 (6 enodes)
49.947 * * [simplify]: iters left: 4 (26 enodes)
49.952 * * [simplify]: iters left: 3 (35 enodes)
49.957 * * [simplify]: Extracting #0: cost 1 inf + 0
49.957 * * [simplify]: Extracting #1: cost 6 inf + 0
49.957 * * [simplify]: Extracting #2: cost 9 inf + 2
49.957 * * [simplify]: Extracting #3: cost 11 inf + 3
49.957 * * [simplify]: Extracting #4: cost 10 inf + 4
49.957 * * [simplify]: Extracting #5: cost 3 inf + 535
49.957 * * [simplify]: Extracting #6: cost 0 inf + 822
49.957 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
49.958 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.958 * * * * [progress]: [ 70 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.958 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
49.958 * * [simplify]: iters left: 4 (6 enodes)
49.960 * * [simplify]: iters left: 3 (25 enodes)
49.965 * * [simplify]: iters left: 2 (36 enodes)
49.970 * * [simplify]: iters left: 1 (40 enodes)
49.976 * * [simplify]: Extracting #0: cost 1 inf + 0
49.976 * * [simplify]: Extracting #1: cost 7 inf + 0
49.976 * * [simplify]: Extracting #2: cost 16 inf + 0
49.977 * * [simplify]: Extracting #3: cost 13 inf + 44
49.977 * * [simplify]: Extracting #4: cost 3 inf + 1103
49.977 * * [simplify]: Extracting #5: cost 0 inf + 1469
49.977 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
49.977 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.977 * * * * [progress]: [ 71 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.978 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
49.978 * * [simplify]: iters left: 4 (6 enodes)
49.980 * * [simplify]: iters left: 3 (25 enodes)
49.984 * * [simplify]: iters left: 2 (36 enodes)
49.990 * * [simplify]: iters left: 1 (40 enodes)
49.996 * * [simplify]: Extracting #0: cost 1 inf + 0
49.996 * * [simplify]: Extracting #1: cost 7 inf + 0
49.996 * * [simplify]: Extracting #2: cost 16 inf + 0
49.996 * * [simplify]: Extracting #3: cost 13 inf + 44
49.997 * * [simplify]: Extracting #4: cost 3 inf + 823
49.997 * * [simplify]: Extracting #5: cost 0 inf + 1069
49.997 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
49.998 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
49.998 * * * * [progress]: [ 72 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
49.998 * [simplify]: Simplifying (/ (- 1 k) 2)
49.998 * * [simplify]: iters left: 4 (5 enodes)
50.002 * * [simplify]: iters left: 3 (23 enodes)
50.012 * * [simplify]: iters left: 2 (32 enodes)
50.021 * * [simplify]: Extracting #0: cost 1 inf + 0
50.021 * * [simplify]: Extracting #1: cost 6 inf + 0
50.021 * * [simplify]: Extracting #2: cost 9 inf + 2
50.021 * * [simplify]: Extracting #3: cost 6 inf + 87
50.022 * * [simplify]: Extracting #4: cost 0 inf + 420
50.022 * [simplify]: Simplified to (/ (- 1 k) 2)
50.022 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
50.022 * * * * [progress]: [ 73 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.022 * [simplify]: Simplifying (/ (- 1 k) 2)
50.023 * * [simplify]: iters left: 4 (5 enodes)
50.026 * * [simplify]: iters left: 3 (23 enodes)
50.034 * * [simplify]: iters left: 2 (32 enodes)
50.043 * * [simplify]: Extracting #0: cost 1 inf + 0
50.043 * * [simplify]: Extracting #1: cost 6 inf + 0
50.043 * * [simplify]: Extracting #2: cost 9 inf + 2
50.043 * * [simplify]: Extracting #3: cost 6 inf + 87
50.044 * * [simplify]: Extracting #4: cost 0 inf + 420
50.044 * [simplify]: Simplified to (/ (- 1 k) 2)
50.044 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
50.044 * * * * [progress]: [ 74 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.044 * [simplify]: Simplifying (/ 1 2)
50.044 * * [simplify]: iters left: 2 (3 enodes)
50.047 * * [simplify]: iters left: 1 (12 enodes)
50.051 * * [simplify]: Extracting #0: cost 1 inf + 0
50.051 * * [simplify]: Extracting #1: cost 0 inf + 1
50.051 * [simplify]: Simplified to 1/2
50.051 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2)) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
50.052 * * * * [progress]: [ 75 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.052 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
50.052 * * [simplify]: iters left: 5 (7 enodes)
50.054 * * [simplify]: iters left: 4 (32 enodes)
50.060 * * [simplify]: iters left: 3 (57 enodes)
50.070 * * [simplify]: iters left: 2 (88 enodes)
50.090 * * [simplify]: iters left: 1 (156 enodes)
50.155 * * [simplify]: Extracting #0: cost 1 inf + 0
50.155 * * [simplify]: Extracting #1: cost 13 inf + 0
50.155 * * [simplify]: Extracting #2: cost 49 inf + 2
50.156 * * [simplify]: Extracting #3: cost 80 inf + 6
50.157 * * [simplify]: Extracting #4: cost 58 inf + 1840
50.160 * * [simplify]: Extracting #5: cost 22 inf + 9206
50.162 * * [simplify]: Extracting #6: cost 1 inf + 20886
50.165 * * [simplify]: Extracting #7: cost 0 inf + 21301
50.168 * * [simplify]: Extracting #8: cost 0 inf + 21130
50.172 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
50.172 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (sqrt (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
50.172 * * * * [progress]: [ 76 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1)) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.172 * * * * [progress]: [ 77 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.172 * * * * [progress]: [ 78 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.172 * * * * [progress]: [ 79 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (* (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) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.172 * * * * [progress]: [ 80 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (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 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.172 * * * * [progress]: [ 81 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.172 * * * * [progress]: [ 82 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.172 * * * * [progress]: [ 83 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.172 * * * * [progress]: [ 84 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.172 * * * * [progress]: [ 85 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1 k) 2))))))>
50.172 * * * * [progress]: [ 86 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1 k) 2))))))>
50.172 * * * * [progress]: [ 87 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))))))>
50.172 * [simplify]: Simplifying (* n (* 2 PI))
50.173 * * [simplify]: iters left: 4 (5 enodes)
50.174 * * [simplify]: iters left: 3 (19 enodes)
50.177 * * [simplify]: iters left: 2 (27 enodes)
50.181 * * [simplify]: iters left: 1 (32 enodes)
50.185 * * [simplify]: Extracting #0: cost 1 inf + 0
50.185 * * [simplify]: Extracting #1: cost 8 inf + 0
50.185 * * [simplify]: Extracting #2: cost 7 inf + 45
50.185 * * [simplify]: Extracting #3: cost 0 inf + 421
50.185 * [simplify]: Simplified to (* (* PI 2) n)
50.185 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))))
50.185 * * * * [progress]: [ 88 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))))))>
50.186 * [simplify]: Simplifying (* n (* 2 PI))
50.186 * * [simplify]: iters left: 4 (5 enodes)
50.187 * * [simplify]: iters left: 3 (19 enodes)
50.190 * * [simplify]: iters left: 2 (27 enodes)
50.194 * * [simplify]: iters left: 1 (32 enodes)
50.200 * * [simplify]: Extracting #0: cost 1 inf + 0
50.200 * * [simplify]: Extracting #1: cost 8 inf + 0
50.200 * * [simplify]: Extracting #2: cost 7 inf + 45
50.200 * * [simplify]: Extracting #3: cost 0 inf + 421
50.201 * [simplify]: Simplified to (* (* PI 2) n)
50.201 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))))
50.201 * * * * [progress]: [ 89 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))))))>
50.201 * * * * [progress]: [ 90 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2))))))>
50.201 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
50.201 * * [simplify]: iters left: 5 (8 enodes)
50.206 * * [simplify]: iters left: 4 (28 enodes)
50.214 * * [simplify]: iters left: 3 (36 enodes)
50.224 * * [simplify]: iters left: 2 (42 enodes)
50.236 * * [simplify]: Extracting #0: cost 1 inf + 0
50.236 * * [simplify]: Extracting #1: cost 8 inf + 0
50.236 * * [simplify]: Extracting #2: cost 17 inf + 0
50.236 * * [simplify]: Extracting #3: cost 12 inf + 145
50.236 * * [simplify]: Extracting #4: cost 5 inf + 1197
50.237 * * [simplify]: Extracting #5: cost 1 inf + 1925
50.237 * * [simplify]: Extracting #6: cost 0 inf + 2107
50.238 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
50.238 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2))))))
50.238 * * * * [progress]: [ 91 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2))))))>
50.238 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
50.239 * * [simplify]: iters left: 5 (7 enodes)
50.245 * * [simplify]: iters left: 4 (26 enodes)
50.253 * * [simplify]: iters left: 3 (35 enodes)
50.263 * * [simplify]: iters left: 2 (44 enodes)
50.274 * * [simplify]: Extracting #0: cost 1 inf + 0
50.274 * * [simplify]: Extracting #1: cost 8 inf + 0
50.274 * * [simplify]: Extracting #2: cost 18 inf + 0
50.274 * * [simplify]: Extracting #3: cost 15 inf + 74
50.274 * * [simplify]: Extracting #4: cost 8 inf + 554
50.274 * * [simplify]: Extracting #5: cost 0 inf + 1911
50.274 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
50.275 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2))))))
50.275 * * * * [progress]: [ 92 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2))))))>
50.275 * * * * [progress]: [ 93 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2))))))>
50.275 * * * * [progress]: [ 94 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2))))))>
50.275 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
50.275 * * [simplify]: iters left: 6 (11 enodes)
50.279 * * [simplify]: iters left: 5 (48 enodes)
50.288 * * [simplify]: iters left: 4 (121 enodes)
50.329 * * [simplify]: iters left: 3 (348 enodes)
50.545 * * [simplify]: Extracting #0: cost 1 inf + 0
50.545 * * [simplify]: Extracting #1: cost 67 inf + 0
50.546 * * [simplify]: Extracting #2: cost 165 inf + 786
50.548 * * [simplify]: Extracting #3: cost 85 inf + 10177
50.554 * * [simplify]: Extracting #4: cost 9 inf + 26399
50.561 * * [simplify]: Extracting #5: cost 0 inf + 28546
50.567 * * [simplify]: Extracting #6: cost 0 inf + 28506
50.574 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
50.574 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2))))))
50.574 * * * * [progress]: [ 95 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2))))))>
50.574 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
50.575 * * [simplify]: iters left: 6 (9 enodes)
50.584 * * [simplify]: iters left: 5 (45 enodes)
50.602 * * [simplify]: iters left: 4 (117 enodes)
50.665 * * [simplify]: iters left: 3 (374 enodes)
50.921 * * [simplify]: Extracting #0: cost 1 inf + 0
50.921 * * [simplify]: Extracting #1: cost 77 inf + 0
50.922 * * [simplify]: Extracting #2: cost 184 inf + 984
50.926 * * [simplify]: Extracting #3: cost 106 inf + 11690
50.935 * * [simplify]: Extracting #4: cost 6 inf + 30376
50.944 * * [simplify]: Extracting #5: cost 0 inf + 31644
50.962 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
50.962 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2))))))
50.962 * * * * [progress]: [ 96 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2))))))>
50.962 * * * * [progress]: [ 97 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2))))))>
50.962 * * * * [progress]: [ 98 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2))))))>
50.962 * * * * [progress]: [ 99 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2))))))>
50.962 * * * * [progress]: [ 100 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))>
50.963 * * * * [progress]: [ 101 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2))))))>
50.963 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
50.963 * * [simplify]: iters left: 3 (3 enodes)
50.964 * * [simplify]: iters left: 2 (9 enodes)
50.967 * * [simplify]: Extracting #0: cost 1 inf + 0
50.967 * * [simplify]: Extracting #1: cost 3 inf + 0
50.967 * * [simplify]: Extracting #2: cost 5 inf + 0
50.967 * * [simplify]: Extracting #3: cost 4 inf + 1
50.967 * * [simplify]: Extracting #4: cost 0 inf + 405
50.967 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
50.967 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2))))))
50.968 * * * * [progress]: [ 102 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2))))))>
50.968 * [simplify]: Simplifying (sqrt n)
50.968 * * [simplify]: iters left: 1 (2 enodes)
50.969 * * [simplify]: Extracting #0: cost 1 inf + 0
50.969 * * [simplify]: Extracting #1: cost 3 inf + 0
50.969 * * [simplify]: Extracting #2: cost 2 inf + 1
50.969 * * [simplify]: Extracting #3: cost 0 inf + 83
50.969 * [simplify]: Simplified to (sqrt n)
50.969 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2))))))
50.969 * * * * [progress]: [ 103 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2))))))>
50.969 * * * * [progress]: [ 104 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2))))))>
50.969 * * * * [progress]: [ 105 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
50.969 * * * * [progress]: [ 106 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.969 * * * * [progress]: [ 107 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.969 * * * * [progress]: [ 108 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.970 * [simplify]: Simplifying (* n (* 2 PI))
50.970 * * [simplify]: iters left: 4 (5 enodes)
50.973 * * [simplify]: iters left: 3 (19 enodes)
50.979 * * [simplify]: iters left: 2 (27 enodes)
50.986 * * [simplify]: iters left: 1 (32 enodes)
50.990 * * [simplify]: Extracting #0: cost 1 inf + 0
50.990 * * [simplify]: Extracting #1: cost 8 inf + 0
50.990 * * [simplify]: Extracting #2: cost 7 inf + 45
50.990 * * [simplify]: Extracting #3: cost 0 inf + 421
50.991 * [simplify]: Simplified to (* (* PI 2) n)
50.991 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (sqrt (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
50.991 * * * * [progress]: [ 109 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
50.991 * [simplify]: Simplifying (* n (* 2 PI))
50.991 * * [simplify]: iters left: 4 (5 enodes)
50.992 * * [simplify]: iters left: 3 (19 enodes)
50.995 * * [simplify]: iters left: 2 (27 enodes)
51.000 * * [simplify]: iters left: 1 (32 enodes)
51.004 * * [simplify]: Extracting #0: cost 1 inf + 0
51.004 * * [simplify]: Extracting #1: cost 8 inf + 0
51.004 * * [simplify]: Extracting #2: cost 7 inf + 45
51.004 * * [simplify]: Extracting #3: cost 0 inf + 421
51.004 * [simplify]: Simplified to (* (* PI 2) n)
51.004 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (sqrt (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
51.004 * * * * [progress]: [ 110 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.004 * * * * [progress]: [ 111 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.004 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
51.005 * * [simplify]: iters left: 5 (8 enodes)
51.007 * * [simplify]: iters left: 4 (28 enodes)
51.011 * * [simplify]: iters left: 3 (36 enodes)
51.022 * * [simplify]: iters left: 2 (42 enodes)
51.032 * * [simplify]: Extracting #0: cost 1 inf + 0
51.032 * * [simplify]: Extracting #1: cost 8 inf + 0
51.032 * * [simplify]: Extracting #2: cost 17 inf + 0
51.033 * * [simplify]: Extracting #3: cost 12 inf + 145
51.033 * * [simplify]: Extracting #4: cost 5 inf + 1197
51.033 * * [simplify]: Extracting #5: cost 1 inf + 1925
51.034 * * [simplify]: Extracting #6: cost 0 inf + 2107
51.035 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
51.035 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (sqrt (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
51.035 * * * * [progress]: [ 112 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.035 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
51.035 * * [simplify]: iters left: 5 (7 enodes)
51.039 * * [simplify]: iters left: 4 (26 enodes)
51.046 * * [simplify]: iters left: 3 (35 enodes)
51.051 * * [simplify]: iters left: 2 (44 enodes)
51.057 * * [simplify]: Extracting #0: cost 1 inf + 0
51.057 * * [simplify]: Extracting #1: cost 8 inf + 0
51.057 * * [simplify]: Extracting #2: cost 18 inf + 0
51.057 * * [simplify]: Extracting #3: cost 15 inf + 74
51.057 * * [simplify]: Extracting #4: cost 8 inf + 554
51.058 * * [simplify]: Extracting #5: cost 0 inf + 1911
51.058 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
51.058 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (sqrt (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
51.058 * * * * [progress]: [ 113 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.058 * * * * [progress]: [ 114 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.058 * * * * [progress]: [ 115 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.058 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
51.058 * * [simplify]: iters left: 6 (11 enodes)
51.064 * * [simplify]: iters left: 5 (48 enodes)
51.073 * * [simplify]: iters left: 4 (121 enodes)
51.109 * * [simplify]: iters left: 3 (348 enodes)
51.320 * * [simplify]: Extracting #0: cost 1 inf + 0
51.321 * * [simplify]: Extracting #1: cost 67 inf + 0
51.321 * * [simplify]: Extracting #2: cost 165 inf + 786
51.325 * * [simplify]: Extracting #3: cost 85 inf + 10177
51.336 * * [simplify]: Extracting #4: cost 9 inf + 26399
51.343 * * [simplify]: Extracting #5: cost 0 inf + 28546
51.350 * * [simplify]: Extracting #6: cost 0 inf + 28506
51.356 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
51.357 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (sqrt (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
51.357 * * * * [progress]: [ 116 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.357 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
51.357 * * [simplify]: iters left: 6 (9 enodes)
51.360 * * [simplify]: iters left: 5 (45 enodes)
51.373 * * [simplify]: iters left: 4 (117 enodes)
51.444 * * [simplify]: iters left: 3 (374 enodes)
51.681 * * [simplify]: Extracting #0: cost 1 inf + 0
51.682 * * [simplify]: Extracting #1: cost 77 inf + 0
51.683 * * [simplify]: Extracting #2: cost 184 inf + 984
51.686 * * [simplify]: Extracting #3: cost 106 inf + 11690
51.695 * * [simplify]: Extracting #4: cost 6 inf + 30376
51.704 * * [simplify]: Extracting #5: cost 0 inf + 31644
51.719 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
51.719 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (sqrt (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
51.720 * * * * [progress]: [ 117 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.720 * * * * [progress]: [ 118 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.720 * * * * [progress]: [ 119 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.720 * * * * [progress]: [ 120 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.720 * * * * [progress]: [ 121 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.720 * * * * [progress]: [ 122 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.720 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
51.720 * * [simplify]: iters left: 3 (3 enodes)
51.722 * * [simplify]: iters left: 2 (9 enodes)
51.724 * * [simplify]: Extracting #0: cost 1 inf + 0
51.724 * * [simplify]: Extracting #1: cost 3 inf + 0
51.724 * * [simplify]: Extracting #2: cost 5 inf + 0
51.724 * * [simplify]: Extracting #3: cost 4 inf + 1
51.724 * * [simplify]: Extracting #4: cost 0 inf + 405
51.725 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
51.725 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (sqrt (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
51.725 * * * * [progress]: [ 123 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.725 * [simplify]: Simplifying (sqrt n)
51.725 * * [simplify]: iters left: 1 (2 enodes)
51.726 * * [simplify]: Extracting #0: cost 1 inf + 0
51.726 * * [simplify]: Extracting #1: cost 3 inf + 0
51.726 * * [simplify]: Extracting #2: cost 2 inf + 1
51.726 * * [simplify]: Extracting #3: cost 0 inf + 83
51.726 * [simplify]: Simplified to (sqrt n)
51.726 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (/ (sqrt (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
51.727 * * * * [progress]: [ 124 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.727 * * * * [progress]: [ 125 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.727 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
51.727 * * * * [progress]: [ 127 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (- (+ (* 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)))))))))>
51.727 * [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)))))
51.728 * * [simplify]: iters left: 6 (37 enodes)
51.755 * * [simplify]: iters left: 5 (190 enodes)
51.802 * * [simplify]: Extracting #0: cost 1 inf + 0
51.802 * * [simplify]: Extracting #1: cost 22 inf + 0
51.803 * * [simplify]: Extracting #2: cost 108 inf + 1
51.804 * * [simplify]: Extracting #3: cost 171 inf + 46
51.805 * * [simplify]: Extracting #4: cost 189 inf + 427
51.809 * * [simplify]: Extracting #5: cost 128 inf + 16032
51.826 * * [simplify]: Extracting #6: cost 29 inf + 57153
51.855 * * [simplify]: Extracting #7: cost 4 inf + 75884
51.890 * * [simplify]: Extracting #8: cost 0 inf + 78767
51.911 * [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)))
51.911 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (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)))))))
51.912 * * * * [progress]: [ 128 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))))>
51.912 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
51.912 * * [simplify]: iters left: 6 (15 enodes)
51.917 * * [simplify]: iters left: 5 (65 enodes)
51.929 * * [simplify]: iters left: 4 (123 enodes)
51.970 * * [simplify]: iters left: 3 (367 enodes)
52.177 * * [simplify]: Extracting #0: cost 1 inf + 0
52.178 * * [simplify]: Extracting #1: cost 37 inf + 0
52.179 * * [simplify]: Extracting #2: cost 216 inf + 72
52.182 * * [simplify]: Extracting #3: cost 356 inf + 1622
52.191 * * [simplify]: Extracting #4: cost 219 inf + 28945
52.224 * * [simplify]: Extracting #5: cost 21 inf + 83197
52.256 * * [simplify]: Extracting #6: cost 0 inf + 89881
52.289 * * [simplify]: Extracting #7: cost 0 inf + 89729
52.322 * * [simplify]: Extracting #8: cost 0 inf + 89726
52.346 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))
52.346 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))))))
52.347 * * * * [progress]: [ 129 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))>
52.347 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
52.347 * * [simplify]: iters left: 6 (16 enodes)
52.353 * * [simplify]: iters left: 5 (67 enodes)
52.366 * * [simplify]: iters left: 4 (134 enodes)
52.422 * * [simplify]: iters left: 3 (413 enodes)
52.645 * * [simplify]: Extracting #0: cost 1 inf + 0
52.645 * * [simplify]: Extracting #1: cost 39 inf + 0
52.646 * * [simplify]: Extracting #2: cost 241 inf + 72
52.649 * * [simplify]: Extracting #3: cost 450 inf + 903
52.655 * * [simplify]: Extracting #4: cost 376 inf + 10375
52.669 * * [simplify]: Extracting #5: cost 158 inf + 67083
52.696 * * [simplify]: Extracting #6: cost 12 inf + 118840
52.746 * * [simplify]: Extracting #7: cost 0 inf + 121984
52.793 * * [simplify]: Extracting #8: cost 0 inf + 121983
52.839 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))
52.839 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))))))
52.839 * * * * [progress]: [ 130 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (- (+ (* 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) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
52.840 * [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)))))
52.840 * * [simplify]: iters left: 6 (37 enodes)
52.854 * * [simplify]: iters left: 5 (190 enodes)
52.919 * * [simplify]: Extracting #0: cost 1 inf + 0
52.919 * * [simplify]: Extracting #1: cost 22 inf + 0
52.919 * * [simplify]: Extracting #2: cost 108 inf + 1
52.920 * * [simplify]: Extracting #3: cost 171 inf + 46
52.922 * * [simplify]: Extracting #4: cost 189 inf + 427
52.926 * * [simplify]: Extracting #5: cost 128 inf + 16032
52.937 * * [simplify]: Extracting #6: cost 29 inf + 57153
52.952 * * [simplify]: Extracting #7: cost 4 inf + 75884
52.973 * * [simplify]: Extracting #8: cost 0 inf + 78767
53.009 * [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)))
53.009 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (sqrt (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) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
53.010 * * * * [progress]: [ 131 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
53.010 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
53.011 * * [simplify]: iters left: 6 (15 enodes)
53.020 * * [simplify]: iters left: 5 (65 enodes)
53.043 * * [simplify]: iters left: 4 (123 enodes)
53.070 * * [simplify]: iters left: 3 (367 enodes)
53.310 * * [simplify]: Extracting #0: cost 1 inf + 0
53.310 * * [simplify]: Extracting #1: cost 37 inf + 0
53.311 * * [simplify]: Extracting #2: cost 216 inf + 72
53.314 * * [simplify]: Extracting #3: cost 356 inf + 1622
53.321 * * [simplify]: Extracting #4: cost 219 inf + 28945
53.334 * * [simplify]: Extracting #5: cost 21 inf + 83197
53.354 * * [simplify]: Extracting #6: cost 0 inf + 89881
53.386 * * [simplify]: Extracting #7: cost 0 inf + 89729
53.418 * * [simplify]: Extracting #8: cost 0 inf + 89726
53.451 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))
53.451 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (sqrt (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
53.451 * * * * [progress]: [ 132 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
53.452 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
53.452 * * [simplify]: iters left: 6 (16 enodes)
53.462 * * [simplify]: iters left: 5 (67 enodes)
53.478 * * [simplify]: iters left: 4 (134 enodes)
53.527 * * [simplify]: iters left: 3 (413 enodes)
53.749 * * [simplify]: Extracting #0: cost 1 inf + 0
53.749 * * [simplify]: Extracting #1: cost 39 inf + 0
53.750 * * [simplify]: Extracting #2: cost 241 inf + 72
53.753 * * [simplify]: Extracting #3: cost 450 inf + 903
53.764 * * [simplify]: Extracting #4: cost 376 inf + 10375
53.785 * * [simplify]: Extracting #5: cost 158 inf + 67083
53.826 * * [simplify]: Extracting #6: cost 12 inf + 118840
53.872 * * [simplify]: Extracting #7: cost 0 inf + 121984
53.920 * * [simplify]: Extracting #8: cost 0 inf + 121983
53.949 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))
53.949 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (sqrt (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
53.949 * * * * [progress]: [ 133 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))>
53.949 * [simplify]: Simplifying (* 2 (* n PI))
53.949 * * [simplify]: iters left: 4 (5 enodes)
53.951 * * [simplify]: iters left: 3 (19 enodes)
53.954 * * [simplify]: iters left: 2 (27 enodes)
53.958 * * [simplify]: iters left: 1 (32 enodes)
53.962 * * [simplify]: Extracting #0: cost 1 inf + 0
53.962 * * [simplify]: Extracting #1: cost 8 inf + 0
53.962 * * [simplify]: Extracting #2: cost 7 inf + 45
53.962 * * [simplify]: Extracting #3: cost 0 inf + 421
53.962 * [simplify]: Simplified to (* (* PI n) 2)
53.962 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
53.962 * * * * [progress]: [ 134 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))>
53.963 * [simplify]: Simplifying (* 2 (* n PI))
53.963 * * [simplify]: iters left: 4 (5 enodes)
53.964 * * [simplify]: iters left: 3 (19 enodes)
53.967 * * [simplify]: iters left: 2 (27 enodes)
53.971 * * [simplify]: iters left: 1 (32 enodes)
53.975 * * [simplify]: Extracting #0: cost 1 inf + 0
53.975 * * [simplify]: Extracting #1: cost 8 inf + 0
53.975 * * [simplify]: Extracting #2: cost 7 inf + 45
53.975 * * [simplify]: Extracting #3: cost 0 inf + 421
53.976 * [simplify]: Simplified to (* (* PI n) 2)
53.976 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
53.976 * * * * [progress]: [ 135 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))))))>
53.976 * [simplify]: Simplifying (* 2 (* n PI))
53.976 * * [simplify]: iters left: 4 (5 enodes)
53.977 * * [simplify]: iters left: 3 (19 enodes)
53.980 * * [simplify]: iters left: 2 (27 enodes)
53.984 * * [simplify]: iters left: 1 (32 enodes)
53.988 * * [simplify]: Extracting #0: cost 1 inf + 0
53.988 * * [simplify]: Extracting #1: cost 8 inf + 0
53.988 * * [simplify]: Extracting #2: cost 7 inf + 45
53.988 * * [simplify]: Extracting #3: cost 0 inf + 421
53.988 * [simplify]: Simplified to (* (* PI n) 2)
53.988 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))))
53.988 * * * * [progress]: [ 136 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
53.989 * [simplify]: Simplifying (* 2 (* n PI))
53.989 * * [simplify]: iters left: 4 (5 enodes)
53.990 * * [simplify]: iters left: 3 (19 enodes)
53.993 * * [simplify]: iters left: 2 (27 enodes)
53.998 * * [simplify]: iters left: 1 (32 enodes)
54.002 * * [simplify]: Extracting #0: cost 1 inf + 0
54.003 * * [simplify]: Extracting #1: cost 8 inf + 0
54.003 * * [simplify]: Extracting #2: cost 7 inf + 45
54.003 * * [simplify]: Extracting #3: cost 0 inf + 421
54.003 * [simplify]: Simplified to (* (* PI n) 2)
54.003 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
54.003 * * * * [progress]: [ 137 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
54.003 * [simplify]: Simplifying (* 2 (* n PI))
54.003 * * [simplify]: iters left: 4 (5 enodes)
54.005 * * [simplify]: iters left: 3 (19 enodes)
54.007 * * [simplify]: iters left: 2 (27 enodes)
54.012 * * [simplify]: iters left: 1 (32 enodes)
54.016 * * [simplify]: Extracting #0: cost 1 inf + 0
54.016 * * [simplify]: Extracting #1: cost 8 inf + 0
54.016 * * [simplify]: Extracting #2: cost 7 inf + 45
54.016 * * [simplify]: Extracting #3: cost 0 inf + 421
54.016 * [simplify]: Simplified to (* (* PI n) 2)
54.016 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
54.016 * * * * [progress]: [ 138 / 138 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
54.017 * [simplify]: Simplifying (* 2 (* n PI))
54.017 * * [simplify]: iters left: 4 (5 enodes)
54.018 * * [simplify]: iters left: 3 (19 enodes)
54.022 * * [simplify]: iters left: 2 (27 enodes)
54.028 * * [simplify]: iters left: 1 (32 enodes)
54.036 * * [simplify]: Extracting #0: cost 1 inf + 0
54.036 * * [simplify]: Extracting #1: cost 8 inf + 0
54.036 * * [simplify]: Extracting #2: cost 7 inf + 45
54.037 * * [simplify]: Extracting #3: cost 0 inf + 421
54.037 * [simplify]: Simplified to (* (* PI n) 2)
54.037 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))
54.037 * * * [progress]: adding candidates to table
56.023 * * [progress]: iteration 4 / 4
56.023 * * * [progress]: picking best candidate
56.049 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
56.049 * * * [progress]: localizing error
56.083 * * * [progress]: generating rewritten candidates
56.083 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
56.100 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
56.127 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
56.145 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
56.167 * * * [progress]: generating series expansions
56.167 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
56.168 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
56.168 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
56.168 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
56.168 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
56.168 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
56.168 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
56.168 * [taylor]: Taking taylor expansion of 1/4 in k
56.168 * [backup-simplify]: Simplify 1/4 into 1/4
56.168 * [taylor]: Taking taylor expansion of (- 1 k) in k
56.168 * [taylor]: Taking taylor expansion of 1 in k
56.168 * [backup-simplify]: Simplify 1 into 1
56.168 * [taylor]: Taking taylor expansion of k in k
56.168 * [backup-simplify]: Simplify 0 into 0
56.168 * [backup-simplify]: Simplify 1 into 1
56.169 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
56.169 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
56.169 * [taylor]: Taking taylor expansion of 2 in k
56.169 * [backup-simplify]: Simplify 2 into 2
56.169 * [taylor]: Taking taylor expansion of (* n PI) in k
56.169 * [taylor]: Taking taylor expansion of n in k
56.169 * [backup-simplify]: Simplify n into n
56.169 * [taylor]: Taking taylor expansion of PI in k
56.169 * [backup-simplify]: Simplify PI into PI
56.169 * [backup-simplify]: Simplify (* n PI) into (* n PI)
56.169 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
56.169 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
56.169 * [backup-simplify]: Simplify (- 0) into 0
56.169 * [backup-simplify]: Simplify (+ 1 0) into 1
56.170 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
56.170 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
56.170 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
56.170 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
56.170 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
56.170 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
56.170 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
56.170 * [taylor]: Taking taylor expansion of 1/4 in n
56.170 * [backup-simplify]: Simplify 1/4 into 1/4
56.170 * [taylor]: Taking taylor expansion of (- 1 k) in n
56.170 * [taylor]: Taking taylor expansion of 1 in n
56.170 * [backup-simplify]: Simplify 1 into 1
56.170 * [taylor]: Taking taylor expansion of k in n
56.170 * [backup-simplify]: Simplify k into k
56.170 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
56.170 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
56.170 * [taylor]: Taking taylor expansion of 2 in n
56.170 * [backup-simplify]: Simplify 2 into 2
56.170 * [taylor]: Taking taylor expansion of (* n PI) in n
56.170 * [taylor]: Taking taylor expansion of n in n
56.170 * [backup-simplify]: Simplify 0 into 0
56.170 * [backup-simplify]: Simplify 1 into 1
56.170 * [taylor]: Taking taylor expansion of PI in n
56.170 * [backup-simplify]: Simplify PI into PI
56.170 * [backup-simplify]: Simplify (* 0 PI) into 0
56.171 * [backup-simplify]: Simplify (* 2 0) into 0
56.172 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
56.173 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
56.173 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
56.173 * [backup-simplify]: Simplify (- k) into (- k)
56.173 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
56.173 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
56.174 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
56.175 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
56.176 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
56.176 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
56.176 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
56.176 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
56.176 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
56.176 * [taylor]: Taking taylor expansion of 1/4 in n
56.176 * [backup-simplify]: Simplify 1/4 into 1/4
56.176 * [taylor]: Taking taylor expansion of (- 1 k) in n
56.176 * [taylor]: Taking taylor expansion of 1 in n
56.176 * [backup-simplify]: Simplify 1 into 1
56.176 * [taylor]: Taking taylor expansion of k in n
56.176 * [backup-simplify]: Simplify k into k
56.176 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
56.176 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
56.176 * [taylor]: Taking taylor expansion of 2 in n
56.176 * [backup-simplify]: Simplify 2 into 2
56.176 * [taylor]: Taking taylor expansion of (* n PI) in n
56.176 * [taylor]: Taking taylor expansion of n in n
56.176 * [backup-simplify]: Simplify 0 into 0
56.176 * [backup-simplify]: Simplify 1 into 1
56.176 * [taylor]: Taking taylor expansion of PI in n
56.176 * [backup-simplify]: Simplify PI into PI
56.176 * [backup-simplify]: Simplify (* 0 PI) into 0
56.177 * [backup-simplify]: Simplify (* 2 0) into 0
56.177 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
56.178 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
56.179 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
56.179 * [backup-simplify]: Simplify (- k) into (- k)
56.179 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
56.179 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
56.180 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
56.180 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
56.181 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
56.181 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
56.181 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
56.181 * [taylor]: Taking taylor expansion of 1/4 in k
56.181 * [backup-simplify]: Simplify 1/4 into 1/4
56.181 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
56.181 * [taylor]: Taking taylor expansion of (- 1 k) in k
56.181 * [taylor]: Taking taylor expansion of 1 in k
56.181 * [backup-simplify]: Simplify 1 into 1
56.181 * [taylor]: Taking taylor expansion of k in k
56.181 * [backup-simplify]: Simplify 0 into 0
56.181 * [backup-simplify]: Simplify 1 into 1
56.181 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
56.181 * [taylor]: Taking taylor expansion of (log n) in k
56.181 * [taylor]: Taking taylor expansion of n in k
56.181 * [backup-simplify]: Simplify n into n
56.181 * [backup-simplify]: Simplify (log n) into (log n)
56.181 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
56.182 * [taylor]: Taking taylor expansion of (* 2 PI) in k
56.182 * [taylor]: Taking taylor expansion of 2 in k
56.182 * [backup-simplify]: Simplify 2 into 2
56.182 * [taylor]: Taking taylor expansion of PI in k
56.182 * [backup-simplify]: Simplify PI into PI
56.182 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.182 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
56.183 * [backup-simplify]: Simplify (- 0) into 0
56.183 * [backup-simplify]: Simplify (+ 1 0) into 1
56.184 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
56.184 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
56.185 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
56.185 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
56.186 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
56.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
56.187 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
56.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
56.188 * [backup-simplify]: Simplify (- 0) into 0
56.189 * [backup-simplify]: Simplify (+ 0 0) into 0
56.189 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
56.190 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
56.190 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
56.192 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
56.192 * [taylor]: Taking taylor expansion of 0 in k
56.192 * [backup-simplify]: Simplify 0 into 0
56.192 * [backup-simplify]: Simplify 0 into 0
56.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
56.193 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
56.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
56.194 * [backup-simplify]: Simplify (+ 0 0) into 0
56.194 * [backup-simplify]: Simplify (- 1) into -1
56.194 * [backup-simplify]: Simplify (+ 0 -1) into -1
56.195 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
56.197 * [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)))))
56.198 * [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)))))))
56.200 * [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)))))))
56.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
56.201 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
56.203 * [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
56.203 * [backup-simplify]: Simplify (- 0) into 0
56.203 * [backup-simplify]: Simplify (+ 0 0) into 0
56.204 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
56.205 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
56.207 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
56.214 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
56.214 * [taylor]: Taking taylor expansion of 0 in k
56.214 * [backup-simplify]: Simplify 0 into 0
56.214 * [backup-simplify]: Simplify 0 into 0
56.214 * [backup-simplify]: Simplify 0 into 0
56.216 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
56.217 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
56.220 * [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
56.221 * [backup-simplify]: Simplify (+ 0 0) into 0
56.221 * [backup-simplify]: Simplify (- 0) into 0
56.221 * [backup-simplify]: Simplify (+ 0 0) into 0
56.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
56.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
56.229 * [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)))))
56.233 * [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)))))
56.238 * [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)))))))
56.239 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
56.239 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
56.239 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
56.239 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
56.239 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
56.239 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
56.239 * [taylor]: Taking taylor expansion of 1/4 in k
56.239 * [backup-simplify]: Simplify 1/4 into 1/4
56.239 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
56.239 * [taylor]: Taking taylor expansion of 1 in k
56.239 * [backup-simplify]: Simplify 1 into 1
56.239 * [taylor]: Taking taylor expansion of (/ 1 k) in k
56.239 * [taylor]: Taking taylor expansion of k in k
56.239 * [backup-simplify]: Simplify 0 into 0
56.239 * [backup-simplify]: Simplify 1 into 1
56.239 * [backup-simplify]: Simplify (/ 1 1) into 1
56.239 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
56.239 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
56.239 * [taylor]: Taking taylor expansion of 2 in k
56.239 * [backup-simplify]: Simplify 2 into 2
56.239 * [taylor]: Taking taylor expansion of (/ PI n) in k
56.239 * [taylor]: Taking taylor expansion of PI in k
56.239 * [backup-simplify]: Simplify PI into PI
56.239 * [taylor]: Taking taylor expansion of n in k
56.240 * [backup-simplify]: Simplify n into n
56.240 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
56.240 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
56.240 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
56.240 * [backup-simplify]: Simplify (- 1) into -1
56.240 * [backup-simplify]: Simplify (+ 0 -1) into -1
56.241 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
56.241 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
56.241 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
56.241 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
56.241 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
56.241 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
56.241 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
56.241 * [taylor]: Taking taylor expansion of 1/4 in n
56.241 * [backup-simplify]: Simplify 1/4 into 1/4
56.241 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
56.241 * [taylor]: Taking taylor expansion of 1 in n
56.241 * [backup-simplify]: Simplify 1 into 1
56.241 * [taylor]: Taking taylor expansion of (/ 1 k) in n
56.241 * [taylor]: Taking taylor expansion of k in n
56.241 * [backup-simplify]: Simplify k into k
56.241 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
56.241 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
56.241 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
56.241 * [taylor]: Taking taylor expansion of 2 in n
56.241 * [backup-simplify]: Simplify 2 into 2
56.241 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.241 * [taylor]: Taking taylor expansion of PI in n
56.241 * [backup-simplify]: Simplify PI into PI
56.241 * [taylor]: Taking taylor expansion of n in n
56.241 * [backup-simplify]: Simplify 0 into 0
56.241 * [backup-simplify]: Simplify 1 into 1
56.241 * [backup-simplify]: Simplify (/ PI 1) into PI
56.242 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.242 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
56.242 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
56.242 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
56.242 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
56.243 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
56.244 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
56.245 * [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)))))
56.245 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
56.245 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
56.245 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
56.245 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
56.245 * [taylor]: Taking taylor expansion of 1/4 in n
56.245 * [backup-simplify]: Simplify 1/4 into 1/4
56.245 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
56.245 * [taylor]: Taking taylor expansion of 1 in n
56.245 * [backup-simplify]: Simplify 1 into 1
56.245 * [taylor]: Taking taylor expansion of (/ 1 k) in n
56.245 * [taylor]: Taking taylor expansion of k in n
56.245 * [backup-simplify]: Simplify k into k
56.245 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
56.245 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
56.245 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
56.245 * [taylor]: Taking taylor expansion of 2 in n
56.245 * [backup-simplify]: Simplify 2 into 2
56.245 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.245 * [taylor]: Taking taylor expansion of PI in n
56.245 * [backup-simplify]: Simplify PI into PI
56.245 * [taylor]: Taking taylor expansion of n in n
56.245 * [backup-simplify]: Simplify 0 into 0
56.245 * [backup-simplify]: Simplify 1 into 1
56.245 * [backup-simplify]: Simplify (/ PI 1) into PI
56.246 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.246 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
56.246 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
56.246 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
56.246 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
56.247 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
56.248 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
56.249 * [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)))))
56.249 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
56.249 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
56.249 * [taylor]: Taking taylor expansion of 1/4 in k
56.249 * [backup-simplify]: Simplify 1/4 into 1/4
56.249 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
56.249 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
56.249 * [taylor]: Taking taylor expansion of 1 in k
56.249 * [backup-simplify]: Simplify 1 into 1
56.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k
56.249 * [taylor]: Taking taylor expansion of k in k
56.249 * [backup-simplify]: Simplify 0 into 0
56.249 * [backup-simplify]: Simplify 1 into 1
56.249 * [backup-simplify]: Simplify (/ 1 1) into 1
56.249 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
56.249 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
56.249 * [taylor]: Taking taylor expansion of (* 2 PI) in k
56.249 * [taylor]: Taking taylor expansion of 2 in k
56.249 * [backup-simplify]: Simplify 2 into 2
56.249 * [taylor]: Taking taylor expansion of PI in k
56.249 * [backup-simplify]: Simplify PI into PI
56.250 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.250 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
56.250 * [taylor]: Taking taylor expansion of (log n) in k
56.250 * [taylor]: Taking taylor expansion of n in k
56.250 * [backup-simplify]: Simplify n into n
56.250 * [backup-simplify]: Simplify (log n) into (log n)
56.250 * [backup-simplify]: Simplify (- 1) into -1
56.251 * [backup-simplify]: Simplify (+ 0 -1) into -1
56.251 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
56.251 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
56.252 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
56.253 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
56.253 * [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)))))
56.254 * [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)))))
56.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
56.255 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
56.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
56.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
56.256 * [backup-simplify]: Simplify (- 0) into 0
56.256 * [backup-simplify]: Simplify (+ 0 0) into 0
56.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
56.257 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
56.258 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
56.259 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
56.259 * [taylor]: Taking taylor expansion of 0 in k
56.259 * [backup-simplify]: Simplify 0 into 0
56.259 * [backup-simplify]: Simplify 0 into 0
56.259 * [backup-simplify]: Simplify 0 into 0
56.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.261 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
56.262 * [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
56.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
56.263 * [backup-simplify]: Simplify (- 0) into 0
56.263 * [backup-simplify]: Simplify (+ 0 0) into 0
56.263 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
56.264 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
56.266 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
56.268 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
56.268 * [taylor]: Taking taylor expansion of 0 in k
56.268 * [backup-simplify]: Simplify 0 into 0
56.268 * [backup-simplify]: Simplify 0 into 0
56.269 * [backup-simplify]: Simplify 0 into 0
56.269 * [backup-simplify]: Simplify 0 into 0
56.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.271 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
56.277 * [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
56.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
56.278 * [backup-simplify]: Simplify (- 0) into 0
56.278 * [backup-simplify]: Simplify (+ 0 0) into 0
56.279 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
56.281 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
56.282 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
56.285 * [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
56.285 * [taylor]: Taking taylor expansion of 0 in k
56.285 * [backup-simplify]: Simplify 0 into 0
56.285 * [backup-simplify]: Simplify 0 into 0
56.286 * [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))))))
56.287 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
56.287 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
56.287 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
56.287 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
56.287 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
56.287 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
56.287 * [taylor]: Taking taylor expansion of 1/4 in k
56.287 * [backup-simplify]: Simplify 1/4 into 1/4
56.287 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
56.287 * [taylor]: Taking taylor expansion of (/ 1 k) in k
56.287 * [taylor]: Taking taylor expansion of k in k
56.287 * [backup-simplify]: Simplify 0 into 0
56.287 * [backup-simplify]: Simplify 1 into 1
56.287 * [backup-simplify]: Simplify (/ 1 1) into 1
56.288 * [taylor]: Taking taylor expansion of 1 in k
56.288 * [backup-simplify]: Simplify 1 into 1
56.288 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
56.288 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
56.288 * [taylor]: Taking taylor expansion of -2 in k
56.288 * [backup-simplify]: Simplify -2 into -2
56.288 * [taylor]: Taking taylor expansion of (/ PI n) in k
56.288 * [taylor]: Taking taylor expansion of PI in k
56.288 * [backup-simplify]: Simplify PI into PI
56.288 * [taylor]: Taking taylor expansion of n in k
56.288 * [backup-simplify]: Simplify n into n
56.288 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
56.288 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
56.288 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
56.288 * [backup-simplify]: Simplify (+ 1 0) into 1
56.289 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
56.289 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
56.289 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
56.289 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
56.289 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
56.289 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
56.289 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
56.289 * [taylor]: Taking taylor expansion of 1/4 in n
56.289 * [backup-simplify]: Simplify 1/4 into 1/4
56.289 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
56.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n
56.289 * [taylor]: Taking taylor expansion of k in n
56.289 * [backup-simplify]: Simplify k into k
56.289 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
56.289 * [taylor]: Taking taylor expansion of 1 in n
56.289 * [backup-simplify]: Simplify 1 into 1
56.290 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
56.290 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
56.290 * [taylor]: Taking taylor expansion of -2 in n
56.290 * [backup-simplify]: Simplify -2 into -2
56.290 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.290 * [taylor]: Taking taylor expansion of PI in n
56.290 * [backup-simplify]: Simplify PI into PI
56.290 * [taylor]: Taking taylor expansion of n in n
56.290 * [backup-simplify]: Simplify 0 into 0
56.290 * [backup-simplify]: Simplify 1 into 1
56.290 * [backup-simplify]: Simplify (/ PI 1) into PI
56.291 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
56.291 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
56.292 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
56.292 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
56.293 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
56.294 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
56.295 * [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)))))
56.295 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
56.295 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
56.295 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
56.295 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
56.295 * [taylor]: Taking taylor expansion of 1/4 in n
56.296 * [backup-simplify]: Simplify 1/4 into 1/4
56.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
56.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n
56.296 * [taylor]: Taking taylor expansion of k in n
56.296 * [backup-simplify]: Simplify k into k
56.296 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
56.296 * [taylor]: Taking taylor expansion of 1 in n
56.296 * [backup-simplify]: Simplify 1 into 1
56.296 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
56.296 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
56.296 * [taylor]: Taking taylor expansion of -2 in n
56.296 * [backup-simplify]: Simplify -2 into -2
56.296 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.296 * [taylor]: Taking taylor expansion of PI in n
56.296 * [backup-simplify]: Simplify PI into PI
56.296 * [taylor]: Taking taylor expansion of n in n
56.296 * [backup-simplify]: Simplify 0 into 0
56.296 * [backup-simplify]: Simplify 1 into 1
56.297 * [backup-simplify]: Simplify (/ PI 1) into PI
56.297 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
56.298 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
56.298 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
56.298 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
56.299 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
56.301 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
56.302 * [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)))))
56.302 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
56.302 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
56.302 * [taylor]: Taking taylor expansion of 1/4 in k
56.302 * [backup-simplify]: Simplify 1/4 into 1/4
56.302 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
56.302 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
56.302 * [taylor]: Taking taylor expansion of (/ 1 k) in k
56.302 * [taylor]: Taking taylor expansion of k in k
56.302 * [backup-simplify]: Simplify 0 into 0
56.302 * [backup-simplify]: Simplify 1 into 1
56.302 * [backup-simplify]: Simplify (/ 1 1) into 1
56.302 * [taylor]: Taking taylor expansion of 1 in k
56.302 * [backup-simplify]: Simplify 1 into 1
56.303 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
56.303 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
56.303 * [taylor]: Taking taylor expansion of (* -2 PI) in k
56.303 * [taylor]: Taking taylor expansion of -2 in k
56.303 * [backup-simplify]: Simplify -2 into -2
56.303 * [taylor]: Taking taylor expansion of PI in k
56.303 * [backup-simplify]: Simplify PI into PI
56.303 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
56.304 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
56.304 * [taylor]: Taking taylor expansion of (log n) in k
56.304 * [taylor]: Taking taylor expansion of n in k
56.304 * [backup-simplify]: Simplify n into n
56.304 * [backup-simplify]: Simplify (log n) into (log n)
56.305 * [backup-simplify]: Simplify (+ 1 0) into 1
56.305 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
56.306 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
56.307 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
56.308 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
56.309 * [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)))))
56.310 * [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)))))
56.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
56.312 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
56.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
56.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
56.314 * [backup-simplify]: Simplify (+ 0 0) into 0
56.314 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
56.316 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
56.317 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
56.319 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
56.319 * [taylor]: Taking taylor expansion of 0 in k
56.319 * [backup-simplify]: Simplify 0 into 0
56.319 * [backup-simplify]: Simplify 0 into 0
56.319 * [backup-simplify]: Simplify 0 into 0
56.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.322 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
56.325 * [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
56.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
56.326 * [backup-simplify]: Simplify (+ 0 0) into 0
56.327 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
56.328 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
56.330 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
56.336 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
56.336 * [taylor]: Taking taylor expansion of 0 in k
56.336 * [backup-simplify]: Simplify 0 into 0
56.336 * [backup-simplify]: Simplify 0 into 0
56.336 * [backup-simplify]: Simplify 0 into 0
56.336 * [backup-simplify]: Simplify 0 into 0
56.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.338 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
56.344 * [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
56.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
56.345 * [backup-simplify]: Simplify (+ 0 0) into 0
56.347 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
56.348 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
56.350 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
56.352 * [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
56.352 * [taylor]: Taking taylor expansion of 0 in k
56.352 * [backup-simplify]: Simplify 0 into 0
56.352 * [backup-simplify]: Simplify 0 into 0
56.353 * [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))))))
56.353 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
56.353 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
56.353 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
56.353 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
56.354 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
56.354 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
56.354 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
56.354 * [taylor]: Taking taylor expansion of 1/4 in k
56.354 * [backup-simplify]: Simplify 1/4 into 1/4
56.354 * [taylor]: Taking taylor expansion of (- 1 k) in k
56.354 * [taylor]: Taking taylor expansion of 1 in k
56.354 * [backup-simplify]: Simplify 1 into 1
56.354 * [taylor]: Taking taylor expansion of k in k
56.354 * [backup-simplify]: Simplify 0 into 0
56.354 * [backup-simplify]: Simplify 1 into 1
56.354 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
56.354 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
56.354 * [taylor]: Taking taylor expansion of 2 in k
56.354 * [backup-simplify]: Simplify 2 into 2
56.354 * [taylor]: Taking taylor expansion of (* n PI) in k
56.354 * [taylor]: Taking taylor expansion of n in k
56.354 * [backup-simplify]: Simplify n into n
56.354 * [taylor]: Taking taylor expansion of PI in k
56.354 * [backup-simplify]: Simplify PI into PI
56.354 * [backup-simplify]: Simplify (* n PI) into (* n PI)
56.354 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
56.354 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
56.354 * [backup-simplify]: Simplify (- 0) into 0
56.354 * [backup-simplify]: Simplify (+ 1 0) into 1
56.355 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
56.355 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
56.355 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
56.355 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
56.355 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
56.355 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
56.355 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
56.355 * [taylor]: Taking taylor expansion of 1/4 in n
56.355 * [backup-simplify]: Simplify 1/4 into 1/4
56.355 * [taylor]: Taking taylor expansion of (- 1 k) in n
56.355 * [taylor]: Taking taylor expansion of 1 in n
56.355 * [backup-simplify]: Simplify 1 into 1
56.355 * [taylor]: Taking taylor expansion of k in n
56.355 * [backup-simplify]: Simplify k into k
56.355 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
56.355 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
56.355 * [taylor]: Taking taylor expansion of 2 in n
56.355 * [backup-simplify]: Simplify 2 into 2
56.355 * [taylor]: Taking taylor expansion of (* n PI) in n
56.355 * [taylor]: Taking taylor expansion of n in n
56.355 * [backup-simplify]: Simplify 0 into 0
56.355 * [backup-simplify]: Simplify 1 into 1
56.355 * [taylor]: Taking taylor expansion of PI in n
56.355 * [backup-simplify]: Simplify PI into PI
56.355 * [backup-simplify]: Simplify (* 0 PI) into 0
56.356 * [backup-simplify]: Simplify (* 2 0) into 0
56.357 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
56.358 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
56.358 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
56.358 * [backup-simplify]: Simplify (- k) into (- k)
56.358 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
56.358 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
56.359 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
56.360 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
56.360 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
56.360 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
56.360 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
56.361 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
56.361 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
56.361 * [taylor]: Taking taylor expansion of 1/4 in n
56.361 * [backup-simplify]: Simplify 1/4 into 1/4
56.361 * [taylor]: Taking taylor expansion of (- 1 k) in n
56.361 * [taylor]: Taking taylor expansion of 1 in n
56.361 * [backup-simplify]: Simplify 1 into 1
56.361 * [taylor]: Taking taylor expansion of k in n
56.361 * [backup-simplify]: Simplify k into k
56.361 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
56.361 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
56.361 * [taylor]: Taking taylor expansion of 2 in n
56.361 * [backup-simplify]: Simplify 2 into 2
56.361 * [taylor]: Taking taylor expansion of (* n PI) in n
56.361 * [taylor]: Taking taylor expansion of n in n
56.361 * [backup-simplify]: Simplify 0 into 0
56.361 * [backup-simplify]: Simplify 1 into 1
56.361 * [taylor]: Taking taylor expansion of PI in n
56.361 * [backup-simplify]: Simplify PI into PI
56.361 * [backup-simplify]: Simplify (* 0 PI) into 0
56.361 * [backup-simplify]: Simplify (* 2 0) into 0
56.362 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
56.363 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
56.364 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
56.364 * [backup-simplify]: Simplify (- k) into (- k)
56.364 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
56.364 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
56.365 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
56.365 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
56.366 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
56.366 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
56.366 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
56.366 * [taylor]: Taking taylor expansion of 1/4 in k
56.366 * [backup-simplify]: Simplify 1/4 into 1/4
56.366 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
56.366 * [taylor]: Taking taylor expansion of (- 1 k) in k
56.366 * [taylor]: Taking taylor expansion of 1 in k
56.366 * [backup-simplify]: Simplify 1 into 1
56.366 * [taylor]: Taking taylor expansion of k in k
56.366 * [backup-simplify]: Simplify 0 into 0
56.366 * [backup-simplify]: Simplify 1 into 1
56.366 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
56.366 * [taylor]: Taking taylor expansion of (log n) in k
56.366 * [taylor]: Taking taylor expansion of n in k
56.366 * [backup-simplify]: Simplify n into n
56.366 * [backup-simplify]: Simplify (log n) into (log n)
56.366 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
56.366 * [taylor]: Taking taylor expansion of (* 2 PI) in k
56.366 * [taylor]: Taking taylor expansion of 2 in k
56.366 * [backup-simplify]: Simplify 2 into 2
56.366 * [taylor]: Taking taylor expansion of PI in k
56.366 * [backup-simplify]: Simplify PI into PI
56.367 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.367 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
56.368 * [backup-simplify]: Simplify (- 0) into 0
56.368 * [backup-simplify]: Simplify (+ 1 0) into 1
56.368 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
56.369 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
56.370 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
56.370 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
56.371 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
56.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
56.372 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
56.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
56.373 * [backup-simplify]: Simplify (- 0) into 0
56.373 * [backup-simplify]: Simplify (+ 0 0) into 0
56.374 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
56.375 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
56.375 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
56.376 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
56.376 * [taylor]: Taking taylor expansion of 0 in k
56.376 * [backup-simplify]: Simplify 0 into 0
56.376 * [backup-simplify]: Simplify 0 into 0
56.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
56.377 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
56.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
56.378 * [backup-simplify]: Simplify (+ 0 0) into 0
56.379 * [backup-simplify]: Simplify (- 1) into -1
56.379 * [backup-simplify]: Simplify (+ 0 -1) into -1
56.380 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
56.381 * [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)))))
56.383 * [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)))))))
56.385 * [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)))))))
56.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
56.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
56.391 * [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
56.391 * [backup-simplify]: Simplify (- 0) into 0
56.392 * [backup-simplify]: Simplify (+ 0 0) into 0
56.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
56.394 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
56.395 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
56.397 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
56.397 * [taylor]: Taking taylor expansion of 0 in k
56.397 * [backup-simplify]: Simplify 0 into 0
56.397 * [backup-simplify]: Simplify 0 into 0
56.397 * [backup-simplify]: Simplify 0 into 0
56.398 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
56.399 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
56.400 * [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
56.401 * [backup-simplify]: Simplify (+ 0 0) into 0
56.401 * [backup-simplify]: Simplify (- 0) into 0
56.401 * [backup-simplify]: Simplify (+ 0 0) into 0
56.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
56.404 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
56.406 * [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)))))
56.409 * [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)))))
56.414 * [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)))))))
56.415 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
56.415 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
56.415 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
56.415 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
56.415 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
56.415 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
56.415 * [taylor]: Taking taylor expansion of 1/4 in k
56.415 * [backup-simplify]: Simplify 1/4 into 1/4
56.415 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
56.415 * [taylor]: Taking taylor expansion of 1 in k
56.415 * [backup-simplify]: Simplify 1 into 1
56.415 * [taylor]: Taking taylor expansion of (/ 1 k) in k
56.415 * [taylor]: Taking taylor expansion of k in k
56.415 * [backup-simplify]: Simplify 0 into 0
56.415 * [backup-simplify]: Simplify 1 into 1
56.415 * [backup-simplify]: Simplify (/ 1 1) into 1
56.415 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
56.415 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
56.415 * [taylor]: Taking taylor expansion of 2 in k
56.416 * [backup-simplify]: Simplify 2 into 2
56.416 * [taylor]: Taking taylor expansion of (/ PI n) in k
56.416 * [taylor]: Taking taylor expansion of PI in k
56.416 * [backup-simplify]: Simplify PI into PI
56.416 * [taylor]: Taking taylor expansion of n in k
56.416 * [backup-simplify]: Simplify n into n
56.416 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
56.416 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
56.416 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
56.416 * [backup-simplify]: Simplify (- 1) into -1
56.416 * [backup-simplify]: Simplify (+ 0 -1) into -1
56.417 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
56.417 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
56.417 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
56.417 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
56.417 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
56.417 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
56.417 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
56.417 * [taylor]: Taking taylor expansion of 1/4 in n
56.417 * [backup-simplify]: Simplify 1/4 into 1/4
56.417 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
56.417 * [taylor]: Taking taylor expansion of 1 in n
56.417 * [backup-simplify]: Simplify 1 into 1
56.417 * [taylor]: Taking taylor expansion of (/ 1 k) in n
56.417 * [taylor]: Taking taylor expansion of k in n
56.417 * [backup-simplify]: Simplify k into k
56.417 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
56.417 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
56.417 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
56.417 * [taylor]: Taking taylor expansion of 2 in n
56.417 * [backup-simplify]: Simplify 2 into 2
56.417 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.417 * [taylor]: Taking taylor expansion of PI in n
56.417 * [backup-simplify]: Simplify PI into PI
56.417 * [taylor]: Taking taylor expansion of n in n
56.417 * [backup-simplify]: Simplify 0 into 0
56.417 * [backup-simplify]: Simplify 1 into 1
56.417 * [backup-simplify]: Simplify (/ PI 1) into PI
56.418 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.418 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
56.418 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
56.418 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
56.418 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
56.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
56.420 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
56.421 * [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)))))
56.421 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
56.421 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
56.421 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
56.421 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
56.421 * [taylor]: Taking taylor expansion of 1/4 in n
56.421 * [backup-simplify]: Simplify 1/4 into 1/4
56.421 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
56.421 * [taylor]: Taking taylor expansion of 1 in n
56.421 * [backup-simplify]: Simplify 1 into 1
56.421 * [taylor]: Taking taylor expansion of (/ 1 k) in n
56.421 * [taylor]: Taking taylor expansion of k in n
56.421 * [backup-simplify]: Simplify k into k
56.421 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
56.421 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
56.421 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
56.421 * [taylor]: Taking taylor expansion of 2 in n
56.421 * [backup-simplify]: Simplify 2 into 2
56.421 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.421 * [taylor]: Taking taylor expansion of PI in n
56.421 * [backup-simplify]: Simplify PI into PI
56.421 * [taylor]: Taking taylor expansion of n in n
56.421 * [backup-simplify]: Simplify 0 into 0
56.421 * [backup-simplify]: Simplify 1 into 1
56.421 * [backup-simplify]: Simplify (/ PI 1) into PI
56.422 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.422 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
56.422 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
56.422 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
56.422 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
56.423 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
56.424 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
56.424 * [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)))))
56.425 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
56.425 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
56.425 * [taylor]: Taking taylor expansion of 1/4 in k
56.425 * [backup-simplify]: Simplify 1/4 into 1/4
56.425 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
56.425 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
56.425 * [taylor]: Taking taylor expansion of 1 in k
56.425 * [backup-simplify]: Simplify 1 into 1
56.425 * [taylor]: Taking taylor expansion of (/ 1 k) in k
56.425 * [taylor]: Taking taylor expansion of k in k
56.425 * [backup-simplify]: Simplify 0 into 0
56.425 * [backup-simplify]: Simplify 1 into 1
56.425 * [backup-simplify]: Simplify (/ 1 1) into 1
56.425 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
56.425 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
56.425 * [taylor]: Taking taylor expansion of (* 2 PI) in k
56.425 * [taylor]: Taking taylor expansion of 2 in k
56.425 * [backup-simplify]: Simplify 2 into 2
56.425 * [taylor]: Taking taylor expansion of PI in k
56.425 * [backup-simplify]: Simplify PI into PI
56.425 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.426 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
56.426 * [taylor]: Taking taylor expansion of (log n) in k
56.426 * [taylor]: Taking taylor expansion of n in k
56.426 * [backup-simplify]: Simplify n into n
56.426 * [backup-simplify]: Simplify (log n) into (log n)
56.426 * [backup-simplify]: Simplify (- 1) into -1
56.427 * [backup-simplify]: Simplify (+ 0 -1) into -1
56.427 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
56.427 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
56.428 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
56.429 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
56.430 * [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)))))
56.433 * [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)))))
56.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
56.435 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
56.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
56.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
56.438 * [backup-simplify]: Simplify (- 0) into 0
56.438 * [backup-simplify]: Simplify (+ 0 0) into 0
56.439 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
56.440 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
56.441 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
56.443 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
56.443 * [taylor]: Taking taylor expansion of 0 in k
56.443 * [backup-simplify]: Simplify 0 into 0
56.443 * [backup-simplify]: Simplify 0 into 0
56.443 * [backup-simplify]: Simplify 0 into 0
56.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.445 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
56.449 * [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
56.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
56.449 * [backup-simplify]: Simplify (- 0) into 0
56.450 * [backup-simplify]: Simplify (+ 0 0) into 0
56.450 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
56.452 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
56.453 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
56.456 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
56.456 * [taylor]: Taking taylor expansion of 0 in k
56.456 * [backup-simplify]: Simplify 0 into 0
56.456 * [backup-simplify]: Simplify 0 into 0
56.456 * [backup-simplify]: Simplify 0 into 0
56.456 * [backup-simplify]: Simplify 0 into 0
56.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.458 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
56.464 * [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
56.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
56.465 * [backup-simplify]: Simplify (- 0) into 0
56.465 * [backup-simplify]: Simplify (+ 0 0) into 0
56.467 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
56.468 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
56.470 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
56.473 * [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
56.473 * [taylor]: Taking taylor expansion of 0 in k
56.473 * [backup-simplify]: Simplify 0 into 0
56.473 * [backup-simplify]: Simplify 0 into 0
56.474 * [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))))))
56.475 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
56.475 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
56.475 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
56.475 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
56.475 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
56.475 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
56.475 * [taylor]: Taking taylor expansion of 1/4 in k
56.475 * [backup-simplify]: Simplify 1/4 into 1/4
56.475 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
56.475 * [taylor]: Taking taylor expansion of (/ 1 k) in k
56.475 * [taylor]: Taking taylor expansion of k in k
56.475 * [backup-simplify]: Simplify 0 into 0
56.475 * [backup-simplify]: Simplify 1 into 1
56.475 * [backup-simplify]: Simplify (/ 1 1) into 1
56.475 * [taylor]: Taking taylor expansion of 1 in k
56.475 * [backup-simplify]: Simplify 1 into 1
56.475 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
56.475 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
56.475 * [taylor]: Taking taylor expansion of -2 in k
56.475 * [backup-simplify]: Simplify -2 into -2
56.475 * [taylor]: Taking taylor expansion of (/ PI n) in k
56.476 * [taylor]: Taking taylor expansion of PI in k
56.476 * [backup-simplify]: Simplify PI into PI
56.476 * [taylor]: Taking taylor expansion of n in k
56.476 * [backup-simplify]: Simplify n into n
56.476 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
56.476 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
56.476 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
56.476 * [backup-simplify]: Simplify (+ 1 0) into 1
56.477 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
56.477 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
56.477 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
56.477 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
56.477 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
56.477 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
56.477 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
56.477 * [taylor]: Taking taylor expansion of 1/4 in n
56.477 * [backup-simplify]: Simplify 1/4 into 1/4
56.477 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
56.477 * [taylor]: Taking taylor expansion of (/ 1 k) in n
56.477 * [taylor]: Taking taylor expansion of k in n
56.477 * [backup-simplify]: Simplify k into k
56.478 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
56.478 * [taylor]: Taking taylor expansion of 1 in n
56.478 * [backup-simplify]: Simplify 1 into 1
56.478 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
56.478 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
56.478 * [taylor]: Taking taylor expansion of -2 in n
56.478 * [backup-simplify]: Simplify -2 into -2
56.478 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.478 * [taylor]: Taking taylor expansion of PI in n
56.478 * [backup-simplify]: Simplify PI into PI
56.478 * [taylor]: Taking taylor expansion of n in n
56.478 * [backup-simplify]: Simplify 0 into 0
56.478 * [backup-simplify]: Simplify 1 into 1
56.478 * [backup-simplify]: Simplify (/ PI 1) into PI
56.479 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
56.480 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
56.480 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
56.480 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
56.481 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
56.482 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
56.484 * [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)))))
56.484 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
56.484 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
56.484 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
56.484 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
56.484 * [taylor]: Taking taylor expansion of 1/4 in n
56.484 * [backup-simplify]: Simplify 1/4 into 1/4
56.484 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
56.484 * [taylor]: Taking taylor expansion of (/ 1 k) in n
56.484 * [taylor]: Taking taylor expansion of k in n
56.484 * [backup-simplify]: Simplify k into k
56.484 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
56.484 * [taylor]: Taking taylor expansion of 1 in n
56.484 * [backup-simplify]: Simplify 1 into 1
56.484 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
56.484 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
56.484 * [taylor]: Taking taylor expansion of -2 in n
56.484 * [backup-simplify]: Simplify -2 into -2
56.484 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.484 * [taylor]: Taking taylor expansion of PI in n
56.484 * [backup-simplify]: Simplify PI into PI
56.484 * [taylor]: Taking taylor expansion of n in n
56.484 * [backup-simplify]: Simplify 0 into 0
56.484 * [backup-simplify]: Simplify 1 into 1
56.485 * [backup-simplify]: Simplify (/ PI 1) into PI
56.485 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
56.486 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
56.486 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
56.486 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
56.488 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
56.489 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
56.490 * [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)))))
56.490 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
56.490 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
56.490 * [taylor]: Taking taylor expansion of 1/4 in k
56.490 * [backup-simplify]: Simplify 1/4 into 1/4
56.490 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
56.490 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
56.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k
56.490 * [taylor]: Taking taylor expansion of k in k
56.490 * [backup-simplify]: Simplify 0 into 0
56.490 * [backup-simplify]: Simplify 1 into 1
56.491 * [backup-simplify]: Simplify (/ 1 1) into 1
56.491 * [taylor]: Taking taylor expansion of 1 in k
56.491 * [backup-simplify]: Simplify 1 into 1
56.491 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
56.491 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
56.491 * [taylor]: Taking taylor expansion of (* -2 PI) in k
56.491 * [taylor]: Taking taylor expansion of -2 in k
56.491 * [backup-simplify]: Simplify -2 into -2
56.491 * [taylor]: Taking taylor expansion of PI in k
56.491 * [backup-simplify]: Simplify PI into PI
56.491 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
56.492 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
56.492 * [taylor]: Taking taylor expansion of (log n) in k
56.492 * [taylor]: Taking taylor expansion of n in k
56.492 * [backup-simplify]: Simplify n into n
56.493 * [backup-simplify]: Simplify (log n) into (log n)
56.493 * [backup-simplify]: Simplify (+ 1 0) into 1
56.493 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
56.494 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
56.495 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
56.496 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
56.498 * [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)))))
56.499 * [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)))))
56.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
56.500 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
56.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
56.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
56.503 * [backup-simplify]: Simplify (+ 0 0) into 0
56.503 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
56.505 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
56.506 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
56.508 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
56.508 * [taylor]: Taking taylor expansion of 0 in k
56.508 * [backup-simplify]: Simplify 0 into 0
56.508 * [backup-simplify]: Simplify 0 into 0
56.508 * [backup-simplify]: Simplify 0 into 0
56.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.510 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
56.514 * [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
56.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
56.514 * [backup-simplify]: Simplify (+ 0 0) into 0
56.515 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
56.517 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
56.518 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
56.521 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
56.521 * [taylor]: Taking taylor expansion of 0 in k
56.521 * [backup-simplify]: Simplify 0 into 0
56.521 * [backup-simplify]: Simplify 0 into 0
56.521 * [backup-simplify]: Simplify 0 into 0
56.521 * [backup-simplify]: Simplify 0 into 0
56.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.523 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
56.529 * [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
56.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
56.530 * [backup-simplify]: Simplify (+ 0 0) into 0
56.531 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
56.532 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
56.533 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
56.535 * [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
56.535 * [taylor]: Taking taylor expansion of 0 in k
56.535 * [backup-simplify]: Simplify 0 into 0
56.535 * [backup-simplify]: Simplify 0 into 0
56.536 * [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))))))
56.536 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
56.536 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
56.536 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
56.536 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
56.536 * [taylor]: Taking taylor expansion of 2 in n
56.536 * [backup-simplify]: Simplify 2 into 2
56.536 * [taylor]: Taking taylor expansion of (* n PI) in n
56.536 * [taylor]: Taking taylor expansion of n in n
56.536 * [backup-simplify]: Simplify 0 into 0
56.536 * [backup-simplify]: Simplify 1 into 1
56.536 * [taylor]: Taking taylor expansion of PI in n
56.536 * [backup-simplify]: Simplify PI into PI
56.536 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
56.536 * [taylor]: Taking taylor expansion of 2 in n
56.536 * [backup-simplify]: Simplify 2 into 2
56.536 * [taylor]: Taking taylor expansion of (* n PI) in n
56.536 * [taylor]: Taking taylor expansion of n in n
56.536 * [backup-simplify]: Simplify 0 into 0
56.536 * [backup-simplify]: Simplify 1 into 1
56.536 * [taylor]: Taking taylor expansion of PI in n
56.536 * [backup-simplify]: Simplify PI into PI
56.537 * [backup-simplify]: Simplify (* 0 PI) into 0
56.537 * [backup-simplify]: Simplify (* 2 0) into 0
56.537 * [backup-simplify]: Simplify 0 into 0
56.538 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
56.539 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
56.539 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
56.540 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
56.540 * [backup-simplify]: Simplify 0 into 0
56.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
56.541 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
56.541 * [backup-simplify]: Simplify 0 into 0
56.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
56.543 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
56.543 * [backup-simplify]: Simplify 0 into 0
56.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
56.545 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
56.545 * [backup-simplify]: Simplify 0 into 0
56.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
56.546 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
56.546 * [backup-simplify]: Simplify 0 into 0
56.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
56.548 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
56.548 * [backup-simplify]: Simplify 0 into 0
56.549 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
56.549 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
56.549 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
56.549 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
56.549 * [taylor]: Taking taylor expansion of 2 in n
56.549 * [backup-simplify]: Simplify 2 into 2
56.549 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.549 * [taylor]: Taking taylor expansion of PI in n
56.549 * [backup-simplify]: Simplify PI into PI
56.549 * [taylor]: Taking taylor expansion of n in n
56.549 * [backup-simplify]: Simplify 0 into 0
56.549 * [backup-simplify]: Simplify 1 into 1
56.550 * [backup-simplify]: Simplify (/ PI 1) into PI
56.550 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
56.550 * [taylor]: Taking taylor expansion of 2 in n
56.550 * [backup-simplify]: Simplify 2 into 2
56.550 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.550 * [taylor]: Taking taylor expansion of PI in n
56.550 * [backup-simplify]: Simplify PI into PI
56.550 * [taylor]: Taking taylor expansion of n in n
56.550 * [backup-simplify]: Simplify 0 into 0
56.550 * [backup-simplify]: Simplify 1 into 1
56.550 * [backup-simplify]: Simplify (/ PI 1) into PI
56.550 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.551 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
56.551 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
56.552 * [backup-simplify]: Simplify 0 into 0
56.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.553 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
56.553 * [backup-simplify]: Simplify 0 into 0
56.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.554 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
56.554 * [backup-simplify]: Simplify 0 into 0
56.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.555 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
56.555 * [backup-simplify]: Simplify 0 into 0
56.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.557 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
56.557 * [backup-simplify]: Simplify 0 into 0
56.557 * [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
56.559 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
56.560 * [backup-simplify]: Simplify 0 into 0
56.560 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
56.560 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
56.560 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
56.560 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
56.560 * [taylor]: Taking taylor expansion of -2 in n
56.560 * [backup-simplify]: Simplify -2 into -2
56.560 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.560 * [taylor]: Taking taylor expansion of PI in n
56.560 * [backup-simplify]: Simplify PI into PI
56.561 * [taylor]: Taking taylor expansion of n in n
56.561 * [backup-simplify]: Simplify 0 into 0
56.561 * [backup-simplify]: Simplify 1 into 1
56.561 * [backup-simplify]: Simplify (/ PI 1) into PI
56.561 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
56.561 * [taylor]: Taking taylor expansion of -2 in n
56.561 * [backup-simplify]: Simplify -2 into -2
56.561 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.561 * [taylor]: Taking taylor expansion of PI in n
56.561 * [backup-simplify]: Simplify PI into PI
56.561 * [taylor]: Taking taylor expansion of n in n
56.561 * [backup-simplify]: Simplify 0 into 0
56.561 * [backup-simplify]: Simplify 1 into 1
56.561 * [backup-simplify]: Simplify (/ PI 1) into PI
56.562 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
56.562 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
56.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
56.563 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
56.563 * [backup-simplify]: Simplify 0 into 0
56.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.564 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
56.564 * [backup-simplify]: Simplify 0 into 0
56.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.566 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
56.566 * [backup-simplify]: Simplify 0 into 0
56.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.569 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
56.569 * [backup-simplify]: Simplify 0 into 0
56.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.571 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
56.571 * [backup-simplify]: Simplify 0 into 0
56.572 * [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
56.574 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
56.574 * [backup-simplify]: Simplify 0 into 0
56.575 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
56.575 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
56.575 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
56.575 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
56.575 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
56.575 * [taylor]: Taking taylor expansion of 2 in n
56.575 * [backup-simplify]: Simplify 2 into 2
56.575 * [taylor]: Taking taylor expansion of (* n PI) in n
56.575 * [taylor]: Taking taylor expansion of n in n
56.575 * [backup-simplify]: Simplify 0 into 0
56.575 * [backup-simplify]: Simplify 1 into 1
56.575 * [taylor]: Taking taylor expansion of PI in n
56.575 * [backup-simplify]: Simplify PI into PI
56.575 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
56.576 * [taylor]: Taking taylor expansion of 2 in n
56.576 * [backup-simplify]: Simplify 2 into 2
56.576 * [taylor]: Taking taylor expansion of (* n PI) in n
56.576 * [taylor]: Taking taylor expansion of n in n
56.576 * [backup-simplify]: Simplify 0 into 0
56.576 * [backup-simplify]: Simplify 1 into 1
56.576 * [taylor]: Taking taylor expansion of PI in n
56.576 * [backup-simplify]: Simplify PI into PI
56.576 * [backup-simplify]: Simplify (* 0 PI) into 0
56.577 * [backup-simplify]: Simplify (* 2 0) into 0
56.577 * [backup-simplify]: Simplify 0 into 0
56.578 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
56.580 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
56.580 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
56.582 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
56.582 * [backup-simplify]: Simplify 0 into 0
56.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
56.584 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
56.584 * [backup-simplify]: Simplify 0 into 0
56.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
56.587 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
56.587 * [backup-simplify]: Simplify 0 into 0
56.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
56.590 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
56.590 * [backup-simplify]: Simplify 0 into 0
56.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
56.593 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
56.593 * [backup-simplify]: Simplify 0 into 0
56.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
56.596 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
56.596 * [backup-simplify]: Simplify 0 into 0
56.597 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
56.597 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
56.597 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
56.598 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
56.598 * [taylor]: Taking taylor expansion of 2 in n
56.598 * [backup-simplify]: Simplify 2 into 2
56.598 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.598 * [taylor]: Taking taylor expansion of PI in n
56.598 * [backup-simplify]: Simplify PI into PI
56.598 * [taylor]: Taking taylor expansion of n in n
56.598 * [backup-simplify]: Simplify 0 into 0
56.598 * [backup-simplify]: Simplify 1 into 1
56.598 * [backup-simplify]: Simplify (/ PI 1) into PI
56.598 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
56.599 * [taylor]: Taking taylor expansion of 2 in n
56.599 * [backup-simplify]: Simplify 2 into 2
56.599 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.599 * [taylor]: Taking taylor expansion of PI in n
56.599 * [backup-simplify]: Simplify PI into PI
56.599 * [taylor]: Taking taylor expansion of n in n
56.599 * [backup-simplify]: Simplify 0 into 0
56.599 * [backup-simplify]: Simplify 1 into 1
56.599 * [backup-simplify]: Simplify (/ PI 1) into PI
56.600 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.600 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
56.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
56.602 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
56.602 * [backup-simplify]: Simplify 0 into 0
56.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.604 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
56.604 * [backup-simplify]: Simplify 0 into 0
56.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.606 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
56.606 * [backup-simplify]: Simplify 0 into 0
56.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.608 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
56.608 * [backup-simplify]: Simplify 0 into 0
56.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.611 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
56.611 * [backup-simplify]: Simplify 0 into 0
56.612 * [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
56.613 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
56.613 * [backup-simplify]: Simplify 0 into 0
56.613 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
56.613 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
56.613 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
56.613 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
56.613 * [taylor]: Taking taylor expansion of -2 in n
56.613 * [backup-simplify]: Simplify -2 into -2
56.613 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.613 * [taylor]: Taking taylor expansion of PI in n
56.613 * [backup-simplify]: Simplify PI into PI
56.613 * [taylor]: Taking taylor expansion of n in n
56.613 * [backup-simplify]: Simplify 0 into 0
56.613 * [backup-simplify]: Simplify 1 into 1
56.614 * [backup-simplify]: Simplify (/ PI 1) into PI
56.614 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
56.614 * [taylor]: Taking taylor expansion of -2 in n
56.614 * [backup-simplify]: Simplify -2 into -2
56.614 * [taylor]: Taking taylor expansion of (/ PI n) in n
56.614 * [taylor]: Taking taylor expansion of PI in n
56.614 * [backup-simplify]: Simplify PI into PI
56.614 * [taylor]: Taking taylor expansion of n in n
56.614 * [backup-simplify]: Simplify 0 into 0
56.614 * [backup-simplify]: Simplify 1 into 1
56.614 * [backup-simplify]: Simplify (/ PI 1) into PI
56.614 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
56.615 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
56.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
56.616 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
56.616 * [backup-simplify]: Simplify 0 into 0
56.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.617 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
56.617 * [backup-simplify]: Simplify 0 into 0
56.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.618 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
56.618 * [backup-simplify]: Simplify 0 into 0
56.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.619 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
56.619 * [backup-simplify]: Simplify 0 into 0
56.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
56.621 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
56.621 * [backup-simplify]: Simplify 0 into 0
56.622 * [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
56.623 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
56.623 * [backup-simplify]: Simplify 0 into 0
56.623 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
56.623 * * * [progress]: simplifying candidates
56.623 * * * * [progress]: [ 1 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
56.623 * * * * [progress]: [ 2 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
56.623 * * * * [progress]: [ 3 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
56.623 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
56.624 * * [simplify]: iters left: 6 (14 enodes)
56.628 * * [simplify]: iters left: 5 (60 enodes)
56.638 * * [simplify]: iters left: 4 (108 enodes)
56.678 * * [simplify]: iters left: 3 (255 enodes)
56.768 * * [simplify]: Extracting #0: cost 1 inf + 0
56.768 * * [simplify]: Extracting #1: cost 34 inf + 0
56.769 * * [simplify]: Extracting #2: cost 122 inf + 73
56.771 * * [simplify]: Extracting #3: cost 134 inf + 2876
56.777 * * [simplify]: Extracting #4: cost 49 inf + 20493
56.788 * * [simplify]: Extracting #5: cost 4 inf + 30853
56.802 * * [simplify]: Extracting #6: cost 0 inf + 31808
56.816 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))
56.816 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))) (sqrt k))))
56.816 * * * * [progress]: [ 4 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
56.817 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
56.817 * * [simplify]: iters left: 6 (13 enodes)
56.825 * * [simplify]: iters left: 5 (58 enodes)
56.844 * * [simplify]: iters left: 4 (101 enodes)
56.874 * * [simplify]: iters left: 3 (211 enodes)
56.932 * * [simplify]: Extracting #0: cost 1 inf + 0
56.932 * * [simplify]: Extracting #1: cost 28 inf + 0
56.932 * * [simplify]: Extracting #2: cost 110 inf + 73
56.933 * * [simplify]: Extracting #3: cost 127 inf + 1744
56.934 * * [simplify]: Extracting #4: cost 73 inf + 10230
56.938 * * [simplify]: Extracting #5: cost 26 inf + 20266
56.943 * * [simplify]: Extracting #6: cost 6 inf + 24692
56.950 * * [simplify]: Extracting #7: cost 0 inf + 26084
56.961 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))
56.961 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (sqrt k))))
56.961 * * * * [progress]: [ 5 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
56.962 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
56.962 * * [simplify]: iters left: 6 (12 enodes)
56.969 * * [simplify]: iters left: 5 (57 enodes)
56.993 * * [simplify]: iters left: 4 (111 enodes)
57.026 * * [simplify]: iters left: 3 (214 enodes)
57.094 * * [simplify]: iters left: 2 (472 enodes)
57.249 * * [simplify]: Extracting #0: cost 1 inf + 0
57.250 * * [simplify]: Extracting #1: cost 40 inf + 0
57.251 * * [simplify]: Extracting #2: cost 158 inf + 4
57.257 * * [simplify]: Extracting #3: cost 193 inf + 1443
57.266 * * [simplify]: Extracting #4: cost 88 inf + 19136
57.284 * * [simplify]: Extracting #5: cost 7 inf + 36795
57.303 * * [simplify]: Extracting #6: cost 0 inf + 38243
57.313 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
57.313 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (sqrt k))))
57.313 * * * * [progress]: [ 6 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
57.313 * * * * [progress]: [ 7 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
57.313 * [simplify]: Simplifying (* n (* 2 PI))
57.313 * * [simplify]: iters left: 4 (5 enodes)
57.315 * * [simplify]: iters left: 3 (19 enodes)
57.318 * * [simplify]: iters left: 2 (27 enodes)
57.322 * * [simplify]: iters left: 1 (32 enodes)
57.326 * * [simplify]: Extracting #0: cost 1 inf + 0
57.326 * * [simplify]: Extracting #1: cost 8 inf + 0
57.326 * * [simplify]: Extracting #2: cost 7 inf + 45
57.326 * * [simplify]: Extracting #3: cost 0 inf + 421
57.326 * [simplify]: Simplified to (* (* PI 2) n)
57.326 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))
57.326 * * * * [progress]: [ 8 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
57.327 * [simplify]: Simplifying (* n (* 2 PI))
57.327 * * [simplify]: iters left: 4 (5 enodes)
57.328 * * [simplify]: iters left: 3 (19 enodes)
57.331 * * [simplify]: iters left: 2 (27 enodes)
57.335 * * [simplify]: iters left: 1 (32 enodes)
57.343 * * [simplify]: Extracting #0: cost 1 inf + 0
57.343 * * [simplify]: Extracting #1: cost 8 inf + 0
57.343 * * [simplify]: Extracting #2: cost 7 inf + 45
57.343 * * [simplify]: Extracting #3: cost 0 inf + 421
57.343 * [simplify]: Simplified to (* (* PI 2) n)
57.343 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))
57.343 * * * * [progress]: [ 9 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
57.344 * [simplify]: Simplifying (* n (* 2 PI))
57.344 * * [simplify]: iters left: 4 (5 enodes)
57.347 * * [simplify]: iters left: 3 (19 enodes)
57.352 * * [simplify]: iters left: 2 (27 enodes)
57.360 * * [simplify]: iters left: 1 (32 enodes)
57.370 * * [simplify]: Extracting #0: cost 1 inf + 0
57.370 * * [simplify]: Extracting #1: cost 8 inf + 0
57.371 * * [simplify]: Extracting #2: cost 7 inf + 45
57.371 * * [simplify]: Extracting #3: cost 0 inf + 421
57.371 * [simplify]: Simplified to (* (* PI 2) n)
57.371 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))
57.371 * * * * [progress]: [ 10 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (sqrt k))))>
57.372 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
57.372 * * [simplify]: iters left: 5 (9 enodes)
57.377 * * [simplify]: iters left: 4 (37 enodes)
57.388 * * [simplify]: iters left: 3 (57 enodes)
57.406 * * [simplify]: iters left: 2 (93 enodes)
57.437 * * [simplify]: iters left: 1 (170 enodes)
57.494 * * [simplify]: Extracting #0: cost 1 inf + 0
57.495 * * [simplify]: Extracting #1: cost 13 inf + 0
57.495 * * [simplify]: Extracting #2: cost 59 inf + 1
57.495 * * [simplify]: Extracting #3: cost 78 inf + 176
57.496 * * [simplify]: Extracting #4: cost 40 inf + 3875
57.498 * * [simplify]: Extracting #5: cost 7 inf + 16988
57.503 * * [simplify]: Extracting #6: cost 0 inf + 20577
57.506 * * [simplify]: Extracting #7: cost 0 inf + 20336
57.509 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
57.509 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (sqrt k))))
57.509 * * * * [progress]: [ 11 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
57.509 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
57.509 * * [simplify]: iters left: 6 (7 enodes)
57.513 * * [simplify]: iters left: 5 (32 enodes)
57.525 * * [simplify]: iters left: 4 (47 enodes)
57.538 * * [simplify]: iters left: 3 (53 enodes)
57.553 * * [simplify]: iters left: 2 (60 enodes)
57.570 * * [simplify]: Extracting #0: cost 1 inf + 0
57.570 * * [simplify]: Extracting #1: cost 3 inf + 0
57.570 * * [simplify]: Extracting #2: cost 11 inf + 0
57.570 * * [simplify]: Extracting #3: cost 17 inf + 3
57.570 * * [simplify]: Extracting #4: cost 14 inf + 129
57.571 * * [simplify]: Extracting #5: cost 3 inf + 794
57.571 * * [simplify]: Extracting #6: cost 0 inf + 1162
57.572 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
57.572 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (sqrt k))))
57.572 * * * * [progress]: [ 12 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
57.572 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
57.572 * * [simplify]: iters left: 6 (7 enodes)
57.577 * * [simplify]: iters left: 5 (32 enodes)
57.588 * * [simplify]: iters left: 4 (47 enodes)
57.599 * * [simplify]: iters left: 3 (53 enodes)
57.612 * * [simplify]: iters left: 2 (60 enodes)
57.627 * * [simplify]: Extracting #0: cost 1 inf + 0
57.627 * * [simplify]: Extracting #1: cost 3 inf + 0
57.627 * * [simplify]: Extracting #2: cost 11 inf + 0
57.627 * * [simplify]: Extracting #3: cost 17 inf + 3
57.627 * * [simplify]: Extracting #4: cost 14 inf + 129
57.627 * * [simplify]: Extracting #5: cost 3 inf + 794
57.628 * * [simplify]: Extracting #6: cost 0 inf + 1082
57.628 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
57.628 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (sqrt k))))
57.629 * * * * [progress]: [ 13 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k))))>
57.629 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
57.629 * * [simplify]: iters left: 6 (8 enodes)
57.635 * * [simplify]: iters left: 5 (32 enodes)
57.641 * * [simplify]: iters left: 4 (41 enodes)
57.647 * * [simplify]: Extracting #0: cost 1 inf + 0
57.647 * * [simplify]: Extracting #1: cost 4 inf + 0
57.647 * * [simplify]: Extracting #2: cost 8 inf + 0
57.647 * * [simplify]: Extracting #3: cost 9 inf + 163
57.647 * * [simplify]: Extracting #4: cost 13 inf + 164
57.647 * * [simplify]: Extracting #5: cost 10 inf + 249
57.647 * * [simplify]: Extracting #6: cost 3 inf + 986
57.648 * * [simplify]: Extracting #7: cost 0 inf + 1474
57.648 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
57.648 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k))))
57.648 * * * * [progress]: [ 14 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k))))>
57.648 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
57.648 * * [simplify]: iters left: 6 (8 enodes)
57.651 * * [simplify]: iters left: 5 (32 enodes)
57.661 * * [simplify]: iters left: 4 (41 enodes)
57.672 * * [simplify]: Extracting #0: cost 1 inf + 0
57.672 * * [simplify]: Extracting #1: cost 4 inf + 0
57.672 * * [simplify]: Extracting #2: cost 8 inf + 0
57.673 * * [simplify]: Extracting #3: cost 9 inf + 83
57.673 * * [simplify]: Extracting #4: cost 13 inf + 84
57.673 * * [simplify]: Extracting #5: cost 10 inf + 169
57.673 * * [simplify]: Extracting #6: cost 3 inf + 866
57.673 * * [simplify]: Extracting #7: cost 0 inf + 1314
57.673 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
57.673 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k))))
57.673 * * * * [progress]: [ 15 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (sqrt k))))>
57.674 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
57.674 * * [simplify]: iters left: 6 (7 enodes)
57.676 * * [simplify]: iters left: 5 (29 enodes)
57.681 * * [simplify]: iters left: 4 (38 enodes)
57.687 * * [simplify]: Extracting #0: cost 1 inf + 0
57.687 * * [simplify]: Extracting #1: cost 4 inf + 0
57.687 * * [simplify]: Extracting #2: cost 5 inf + 1
57.687 * * [simplify]: Extracting #3: cost 9 inf + 1
57.687 * * [simplify]: Extracting #4: cost 13 inf + 2
57.687 * * [simplify]: Extracting #5: cost 12 inf + 4
57.687 * * [simplify]: Extracting #6: cost 2 inf + 746
57.687 * * [simplify]: Extracting #7: cost 0 inf + 1152
57.687 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
57.687 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (sqrt k))))
57.687 * * * * [progress]: [ 16 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k))))>
57.688 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
57.688 * * [simplify]: iters left: 6 (8 enodes)
57.690 * * [simplify]: iters left: 5 (32 enodes)
57.696 * * [simplify]: iters left: 4 (41 enodes)
57.702 * * [simplify]: Extracting #0: cost 1 inf + 0
57.702 * * [simplify]: Extracting #1: cost 4 inf + 0
57.702 * * [simplify]: Extracting #2: cost 8 inf + 0
57.702 * * [simplify]: Extracting #3: cost 9 inf + 163
57.702 * * [simplify]: Extracting #4: cost 13 inf + 164
57.702 * * [simplify]: Extracting #5: cost 10 inf + 249
57.703 * * [simplify]: Extracting #6: cost 3 inf + 906
57.703 * * [simplify]: Extracting #7: cost 0 inf + 1314
57.703 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
57.703 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k))))
57.703 * * * * [progress]: [ 17 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k))))>
57.703 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
57.703 * * [simplify]: iters left: 6 (8 enodes)
57.708 * * [simplify]: iters left: 5 (32 enodes)
57.718 * * [simplify]: iters left: 4 (41 enodes)
57.724 * * [simplify]: Extracting #0: cost 1 inf + 0
57.724 * * [simplify]: Extracting #1: cost 4 inf + 0
57.724 * * [simplify]: Extracting #2: cost 8 inf + 0
57.724 * * [simplify]: Extracting #3: cost 9 inf + 83
57.724 * * [simplify]: Extracting #4: cost 13 inf + 84
57.724 * * [simplify]: Extracting #5: cost 10 inf + 169
57.725 * * [simplify]: Extracting #6: cost 3 inf + 786
57.725 * * [simplify]: Extracting #7: cost 0 inf + 1154
57.725 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
57.725 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k))))
57.725 * * * * [progress]: [ 18 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (sqrt k))))>
57.725 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
57.725 * * [simplify]: iters left: 6 (7 enodes)
57.729 * * [simplify]: iters left: 5 (29 enodes)
57.734 * * [simplify]: iters left: 4 (38 enodes)
57.740 * * [simplify]: Extracting #0: cost 1 inf + 0
57.740 * * [simplify]: Extracting #1: cost 4 inf + 0
57.740 * * [simplify]: Extracting #2: cost 5 inf + 1
57.740 * * [simplify]: Extracting #3: cost 9 inf + 1
57.740 * * [simplify]: Extracting #4: cost 13 inf + 2
57.740 * * [simplify]: Extracting #5: cost 12 inf + 4
57.740 * * [simplify]: Extracting #6: cost 2 inf + 666
57.740 * * [simplify]: Extracting #7: cost 0 inf + 992
57.740 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
57.741 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (sqrt k))))
57.741 * * * * [progress]: [ 19 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (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))) (sqrt k))))>
57.741 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
57.741 * * [simplify]: iters left: 6 (8 enodes)
57.743 * * [simplify]: iters left: 5 (30 enodes)
57.748 * * [simplify]: iters left: 4 (37 enodes)
57.754 * * [simplify]: Extracting #0: cost 1 inf + 0
57.754 * * [simplify]: Extracting #1: cost 6 inf + 0
57.754 * * [simplify]: Extracting #2: cost 12 inf + 0
57.754 * * [simplify]: Extracting #3: cost 11 inf + 405
57.754 * * [simplify]: Extracting #4: cost 10 inf + 407
57.754 * * [simplify]: Extracting #5: cost 4 inf + 1220
57.754 * * [simplify]: Extracting #6: cost 0 inf + 1869
57.755 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
57.755 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (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)))) (sqrt k))))
57.755 * * * * [progress]: [ 20 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
57.755 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
57.755 * * [simplify]: iters left: 6 (9 enodes)
57.758 * * [simplify]: iters left: 5 (33 enodes)
57.764 * * [simplify]: iters left: 4 (43 enodes)
57.770 * * [simplify]: iters left: 3 (45 enodes)
57.778 * * [simplify]: Extracting #0: cost 1 inf + 0
57.778 * * [simplify]: Extracting #1: cost 8 inf + 0
57.778 * * [simplify]: Extracting #2: cost 16 inf + 0
57.778 * * [simplify]: Extracting #3: cost 16 inf + 284
57.778 * * [simplify]: Extracting #4: cost 11 inf + 610
57.779 * * [simplify]: Extracting #5: cost 8 inf + 815
57.779 * * [simplify]: Extracting #6: cost 0 inf + 2517
57.780 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
57.780 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k))))
57.780 * * * * [progress]: [ 21 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) (sqrt k))))>
57.781 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
57.781 * * [simplify]: iters left: 6 (8 enodes)
57.786 * * [simplify]: iters left: 5 (30 enodes)
57.795 * * [simplify]: iters left: 4 (40 enodes)
57.806 * * [simplify]: iters left: 3 (42 enodes)
57.812 * * [simplify]: Extracting #0: cost 1 inf + 0
57.812 * * [simplify]: Extracting #1: cost 8 inf + 0
57.812 * * [simplify]: Extracting #2: cost 12 inf + 82
57.812 * * [simplify]: Extracting #3: cost 13 inf + 405
57.812 * * [simplify]: Extracting #4: cost 12 inf + 407
57.812 * * [simplify]: Extracting #5: cost 5 inf + 1383
57.812 * * [simplify]: Extracting #6: cost 0 inf + 2195
57.813 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
57.813 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (sqrt k))))
57.813 * * * * [progress]: [ 22 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
57.813 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
57.813 * * [simplify]: iters left: 6 (9 enodes)
57.816 * * [simplify]: iters left: 5 (33 enodes)
57.823 * * [simplify]: iters left: 4 (43 enodes)
57.830 * * [simplify]: iters left: 3 (45 enodes)
57.837 * * [simplify]: Extracting #0: cost 1 inf + 0
57.837 * * [simplify]: Extracting #1: cost 8 inf + 0
57.837 * * [simplify]: Extracting #2: cost 16 inf + 0
57.837 * * [simplify]: Extracting #3: cost 16 inf + 284
57.838 * * [simplify]: Extracting #4: cost 11 inf + 610
57.838 * * [simplify]: Extracting #5: cost 8 inf + 815
57.838 * * [simplify]: Extracting #6: cost 0 inf + 2517
57.839 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
57.839 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k))))
57.840 * * * * [progress]: [ 23 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
57.840 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
57.840 * * [simplify]: iters left: 6 (8 enodes)
57.845 * * [simplify]: iters left: 5 (30 enodes)
57.854 * * [simplify]: iters left: 4 (35 enodes)
57.864 * * [simplify]: Extracting #0: cost 1 inf + 0
57.864 * * [simplify]: Extracting #1: cost 6 inf + 0
57.864 * * [simplify]: Extracting #2: cost 8 inf + 42
57.864 * * [simplify]: Extracting #3: cost 11 inf + 83
57.864 * * [simplify]: Extracting #4: cost 10 inf + 85
57.865 * * [simplify]: Extracting #5: cost 4 inf + 658
57.865 * * [simplify]: Extracting #6: cost 0 inf + 1227
57.865 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
57.865 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (sqrt k))))
57.865 * * * * [progress]: [ 24 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) (sqrt k))))>
57.865 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
57.865 * * [simplify]: iters left: 6 (8 enodes)
57.868 * * [simplify]: iters left: 5 (30 enodes)
57.873 * * [simplify]: iters left: 4 (40 enodes)
57.879 * * [simplify]: iters left: 3 (42 enodes)
57.885 * * [simplify]: Extracting #0: cost 1 inf + 0
57.885 * * [simplify]: Extracting #1: cost 8 inf + 0
57.885 * * [simplify]: Extracting #2: cost 12 inf + 42
57.885 * * [simplify]: Extracting #3: cost 13 inf + 245
57.885 * * [simplify]: Extracting #4: cost 12 inf + 247
57.886 * * [simplify]: Extracting #5: cost 5 inf + 1143
57.886 * * [simplify]: Extracting #6: cost 0 inf + 1875
57.886 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
57.886 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (sqrt k))))
57.886 * * * * [progress]: [ 25 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) (sqrt k))))>
57.887 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
57.887 * * [simplify]: iters left: 6 (8 enodes)
57.889 * * [simplify]: iters left: 5 (30 enodes)
57.894 * * [simplify]: iters left: 4 (40 enodes)
57.900 * * [simplify]: iters left: 3 (42 enodes)
57.906 * * [simplify]: Extracting #0: cost 1 inf + 0
57.906 * * [simplify]: Extracting #1: cost 8 inf + 0
57.906 * * [simplify]: Extracting #2: cost 11 inf + 203
57.907 * * [simplify]: Extracting #3: cost 13 inf + 405
57.907 * * [simplify]: Extracting #4: cost 12 inf + 407
57.907 * * [simplify]: Extracting #5: cost 3 inf + 1789
57.907 * * [simplify]: Extracting #6: cost 0 inf + 2195
57.907 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
57.908 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (sqrt k))))
57.908 * * * * [progress]: [ 26 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) (sqrt k))))>
57.908 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
57.908 * * [simplify]: iters left: 6 (8 enodes)
57.911 * * [simplify]: iters left: 5 (30 enodes)
57.922 * * [simplify]: iters left: 4 (40 enodes)
57.934 * * [simplify]: iters left: 3 (42 enodes)
57.946 * * [simplify]: Extracting #0: cost 1 inf + 0
57.946 * * [simplify]: Extracting #1: cost 8 inf + 0
57.946 * * [simplify]: Extracting #2: cost 11 inf + 123
57.946 * * [simplify]: Extracting #3: cost 13 inf + 245
57.947 * * [simplify]: Extracting #4: cost 12 inf + 247
57.947 * * [simplify]: Extracting #5: cost 3 inf + 1509
57.948 * * [simplify]: Extracting #6: cost 0 inf + 1875
57.948 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
57.948 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (sqrt k))))
57.949 * * * * [progress]: [ 27 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)) (sqrt k))))>
57.949 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
57.949 * * [simplify]: iters left: 6 (7 enodes)
57.953 * * [simplify]: iters left: 5 (28 enodes)
57.962 * * [simplify]: iters left: 4 (35 enodes)
57.972 * * [simplify]: Extracting #0: cost 1 inf + 0
57.973 * * [simplify]: Extracting #1: cost 6 inf + 0
57.973 * * [simplify]: Extracting #2: cost 7 inf + 2
57.973 * * [simplify]: Extracting #3: cost 11 inf + 2
57.973 * * [simplify]: Extracting #4: cost 9 inf + 45
57.973 * * [simplify]: Extracting #5: cost 4 inf + 455
57.973 * * [simplify]: Extracting #6: cost 0 inf + 1066
57.974 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
57.974 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
57.974 * * * * [progress]: [ 28 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (sqrt k))))>
57.975 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
57.975 * * [simplify]: iters left: 6 (8 enodes)
57.979 * * [simplify]: iters left: 5 (30 enodes)
57.989 * * [simplify]: iters left: 4 (37 enodes)
58.000 * * [simplify]: Extracting #0: cost 1 inf + 0
58.000 * * [simplify]: Extracting #1: cost 6 inf + 0
58.000 * * [simplify]: Extracting #2: cost 12 inf + 0
58.000 * * [simplify]: Extracting #3: cost 11 inf + 405
58.001 * * [simplify]: Extracting #4: cost 10 inf + 407
58.001 * * [simplify]: Extracting #5: cost 4 inf + 1100
58.001 * * [simplify]: Extracting #6: cost 0 inf + 1629
58.002 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
58.002 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (sqrt k))))
58.002 * * * * [progress]: [ 29 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
58.003 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
58.003 * * [simplify]: iters left: 6 (9 enodes)
58.008 * * [simplify]: iters left: 5 (33 enodes)
58.018 * * [simplify]: iters left: 4 (43 enodes)
58.024 * * [simplify]: iters left: 3 (45 enodes)
58.031 * * [simplify]: Extracting #0: cost 1 inf + 0
58.031 * * [simplify]: Extracting #1: cost 8 inf + 0
58.031 * * [simplify]: Extracting #2: cost 16 inf + 0
58.031 * * [simplify]: Extracting #3: cost 16 inf + 284
58.031 * * [simplify]: Extracting #4: cost 11 inf + 610
58.032 * * [simplify]: Extracting #5: cost 8 inf + 775
58.032 * * [simplify]: Extracting #6: cost 0 inf + 2197
58.032 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
58.032 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k))))
58.032 * * * * [progress]: [ 30 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) (sqrt k))))>
58.033 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
58.033 * * [simplify]: iters left: 6 (8 enodes)
58.035 * * [simplify]: iters left: 5 (30 enodes)
58.040 * * [simplify]: iters left: 4 (40 enodes)
58.049 * * [simplify]: iters left: 3 (42 enodes)
58.058 * * [simplify]: Extracting #0: cost 1 inf + 0
58.058 * * [simplify]: Extracting #1: cost 8 inf + 0
58.058 * * [simplify]: Extracting #2: cost 12 inf + 82
58.058 * * [simplify]: Extracting #3: cost 13 inf + 405
58.058 * * [simplify]: Extracting #4: cost 12 inf + 407
58.058 * * [simplify]: Extracting #5: cost 5 inf + 1223
58.059 * * [simplify]: Extracting #6: cost 0 inf + 1875
58.060 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
58.060 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (sqrt k))))
58.060 * * * * [progress]: [ 31 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
58.060 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
58.060 * * [simplify]: iters left: 6 (9 enodes)
58.066 * * [simplify]: iters left: 5 (33 enodes)
58.077 * * [simplify]: iters left: 4 (43 enodes)
58.090 * * [simplify]: iters left: 3 (45 enodes)
58.103 * * [simplify]: Extracting #0: cost 1 inf + 0
58.103 * * [simplify]: Extracting #1: cost 8 inf + 0
58.103 * * [simplify]: Extracting #2: cost 16 inf + 0
58.103 * * [simplify]: Extracting #3: cost 16 inf + 284
58.104 * * [simplify]: Extracting #4: cost 11 inf + 610
58.104 * * [simplify]: Extracting #5: cost 8 inf + 775
58.104 * * [simplify]: Extracting #6: cost 0 inf + 2197
58.105 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
58.105 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k))))
58.105 * * * * [progress]: [ 32 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
58.106 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
58.106 * * [simplify]: iters left: 6 (8 enodes)
58.111 * * [simplify]: iters left: 5 (30 enodes)
58.120 * * [simplify]: iters left: 4 (35 enodes)
58.131 * * [simplify]: Extracting #0: cost 1 inf + 0
58.131 * * [simplify]: Extracting #1: cost 6 inf + 0
58.131 * * [simplify]: Extracting #2: cost 8 inf + 42
58.131 * * [simplify]: Extracting #3: cost 11 inf + 83
58.131 * * [simplify]: Extracting #4: cost 10 inf + 85
58.131 * * [simplify]: Extracting #5: cost 4 inf + 538
58.132 * * [simplify]: Extracting #6: cost 0 inf + 987
58.132 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
58.132 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (sqrt k))))
58.132 * * * * [progress]: [ 33 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) (sqrt k))))>
58.133 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
58.133 * * [simplify]: iters left: 6 (8 enodes)
58.137 * * [simplify]: iters left: 5 (30 enodes)
58.148 * * [simplify]: iters left: 4 (40 enodes)
58.160 * * [simplify]: iters left: 3 (42 enodes)
58.173 * * [simplify]: Extracting #0: cost 1 inf + 0
58.173 * * [simplify]: Extracting #1: cost 8 inf + 0
58.173 * * [simplify]: Extracting #2: cost 12 inf + 42
58.173 * * [simplify]: Extracting #3: cost 13 inf + 245
58.173 * * [simplify]: Extracting #4: cost 12 inf + 247
58.174 * * [simplify]: Extracting #5: cost 5 inf + 983
58.174 * * [simplify]: Extracting #6: cost 0 inf + 1555
58.175 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
58.175 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (sqrt k))))
58.175 * * * * [progress]: [ 34 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) (sqrt k))))>
58.175 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
58.175 * * [simplify]: iters left: 6 (8 enodes)
58.180 * * [simplify]: iters left: 5 (30 enodes)
58.189 * * [simplify]: iters left: 4 (40 enodes)
58.197 * * [simplify]: iters left: 3 (42 enodes)
58.203 * * [simplify]: Extracting #0: cost 1 inf + 0
58.203 * * [simplify]: Extracting #1: cost 8 inf + 0
58.203 * * [simplify]: Extracting #2: cost 11 inf + 203
58.203 * * [simplify]: Extracting #3: cost 13 inf + 405
58.203 * * [simplify]: Extracting #4: cost 12 inf + 407
58.203 * * [simplify]: Extracting #5: cost 3 inf + 1549
58.204 * * [simplify]: Extracting #6: cost 0 inf + 1875
58.204 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
58.204 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (sqrt k))))
58.204 * * * * [progress]: [ 35 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) (sqrt k))))>
58.204 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
58.205 * * [simplify]: iters left: 6 (8 enodes)
58.207 * * [simplify]: iters left: 5 (30 enodes)
58.212 * * [simplify]: iters left: 4 (40 enodes)
58.220 * * [simplify]: iters left: 3 (42 enodes)
58.232 * * [simplify]: Extracting #0: cost 1 inf + 0
58.232 * * [simplify]: Extracting #1: cost 8 inf + 0
58.233 * * [simplify]: Extracting #2: cost 11 inf + 123
58.233 * * [simplify]: Extracting #3: cost 13 inf + 245
58.233 * * [simplify]: Extracting #4: cost 12 inf + 247
58.233 * * [simplify]: Extracting #5: cost 3 inf + 1269
58.233 * * [simplify]: Extracting #6: cost 0 inf + 1555
58.233 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
58.234 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (sqrt k))))
58.234 * * * * [progress]: [ 36 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) (sqrt k))))>
58.234 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
58.234 * * [simplify]: iters left: 6 (7 enodes)
58.236 * * [simplify]: iters left: 5 (28 enodes)
58.241 * * [simplify]: iters left: 4 (35 enodes)
58.247 * * [simplify]: Extracting #0: cost 1 inf + 0
58.247 * * [simplify]: Extracting #1: cost 6 inf + 0
58.247 * * [simplify]: Extracting #2: cost 7 inf + 2
58.247 * * [simplify]: Extracting #3: cost 11 inf + 2
58.247 * * [simplify]: Extracting #4: cost 9 inf + 45
58.247 * * [simplify]: Extracting #5: cost 4 inf + 375
58.247 * * [simplify]: Extracting #6: cost 0 inf + 826
58.247 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
58.247 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (sqrt k))))
58.247 * * * * [progress]: [ 37 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (sqrt k))))>
58.248 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
58.248 * * [simplify]: iters left: 6 (7 enodes)
58.250 * * [simplify]: iters left: 5 (30 enodes)
58.255 * * [simplify]: iters left: 4 (49 enodes)
58.266 * * [simplify]: iters left: 3 (59 enodes)
58.280 * * [simplify]: iters left: 2 (64 enodes)
58.290 * * [simplify]: Extracting #0: cost 1 inf + 0
58.290 * * [simplify]: Extracting #1: cost 9 inf + 0
58.290 * * [simplify]: Extracting #2: cost 23 inf + 0
58.290 * * [simplify]: Extracting #3: cost 24 inf + 3
58.291 * * [simplify]: Extracting #4: cost 15 inf + 980
58.291 * * [simplify]: Extracting #5: cost 1 inf + 3007
58.291 * * [simplify]: Extracting #6: cost 0 inf + 3169
58.292 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
58.292 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (sqrt k))))
58.292 * * * * [progress]: [ 38 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k))))>
58.292 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
58.292 * * [simplify]: iters left: 6 (8 enodes)
58.295 * * [simplify]: iters left: 5 (33 enodes)
58.301 * * [simplify]: iters left: 4 (55 enodes)
58.315 * * [simplify]: iters left: 3 (72 enodes)
58.336 * * [simplify]: iters left: 2 (84 enodes)
58.359 * * [simplify]: iters left: 1 (88 enodes)
58.379 * * [simplify]: Extracting #0: cost 1 inf + 0
58.379 * * [simplify]: Extracting #1: cost 11 inf + 0
58.379 * * [simplify]: Extracting #2: cost 30 inf + 0
58.379 * * [simplify]: Extracting #3: cost 33 inf + 84
58.380 * * [simplify]: Extracting #4: cost 12 inf + 2402
58.381 * * [simplify]: Extracting #5: cost 0 inf + 4469
58.381 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
58.381 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))
58.382 * * * * [progress]: [ 39 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (sqrt k))))>
58.382 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
58.382 * * [simplify]: iters left: 6 (7 enodes)
58.384 * * [simplify]: iters left: 5 (30 enodes)
58.390 * * [simplify]: iters left: 4 (52 enodes)
58.398 * * [simplify]: iters left: 3 (70 enodes)
58.415 * * [simplify]: iters left: 2 (81 enodes)
58.437 * * [simplify]: iters left: 1 (84 enodes)
58.459 * * [simplify]: Extracting #0: cost 1 inf + 0
58.459 * * [simplify]: Extracting #1: cost 11 inf + 0
58.459 * * [simplify]: Extracting #2: cost 25 inf + 203
58.459 * * [simplify]: Extracting #3: cost 25 inf + 530
58.460 * * [simplify]: Extracting #4: cost 4 inf + 2936
58.461 * * [simplify]: Extracting #5: cost 0 inf + 3504
58.463 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
58.463 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))
58.463 * * * * [progress]: [ 40 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))>
58.463 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
58.463 * * [simplify]: iters left: 6 (8 enodes)
58.469 * * [simplify]: iters left: 5 (33 enodes)
58.477 * * [simplify]: iters left: 4 (55 enodes)
58.486 * * [simplify]: iters left: 3 (72 enodes)
58.497 * * [simplify]: iters left: 2 (84 enodes)
58.518 * * [simplify]: iters left: 1 (88 enodes)
58.539 * * [simplify]: Extracting #0: cost 1 inf + 0
58.539 * * [simplify]: Extracting #1: cost 11 inf + 0
58.539 * * [simplify]: Extracting #2: cost 30 inf + 0
58.539 * * [simplify]: Extracting #3: cost 33 inf + 44
58.540 * * [simplify]: Extracting #4: cost 12 inf + 2362
58.540 * * [simplify]: Extracting #5: cost 0 inf + 4469
58.541 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
58.541 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k))))
58.541 * * * * [progress]: [ 41 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (sqrt k))))>
58.542 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
58.542 * * [simplify]: iters left: 6 (7 enodes)
58.544 * * [simplify]: iters left: 5 (30 enodes)
58.550 * * [simplify]: iters left: 4 (48 enodes)
58.558 * * [simplify]: iters left: 3 (56 enodes)
58.570 * * [simplify]: Extracting #0: cost 1 inf + 0
58.570 * * [simplify]: Extracting #1: cost 8 inf + 0
58.570 * * [simplify]: Extracting #2: cost 15 inf + 43
58.570 * * [simplify]: Extracting #3: cost 16 inf + 86
58.570 * * [simplify]: Extracting #4: cost 5 inf + 911
58.570 * * [simplify]: Extracting #5: cost 1 inf + 1198
58.571 * * [simplify]: Extracting #6: cost 0 inf + 1320
58.571 * [simplify]: Simplified to (/ (- 1 k) 2)
58.571 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (sqrt k))))
58.571 * * * * [progress]: [ 42 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (sqrt k))))>
58.571 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
58.571 * * [simplify]: iters left: 6 (7 enodes)
58.574 * * [simplify]: iters left: 5 (30 enodes)
58.580 * * [simplify]: iters left: 4 (52 enodes)
58.589 * * [simplify]: iters left: 3 (70 enodes)
58.601 * * [simplify]: iters left: 2 (81 enodes)
58.622 * * [simplify]: iters left: 1 (84 enodes)
58.646 * * [simplify]: Extracting #0: cost 1 inf + 0
58.646 * * [simplify]: Extracting #1: cost 11 inf + 0
58.646 * * [simplify]: Extracting #2: cost 25 inf + 123
58.647 * * [simplify]: Extracting #3: cost 25 inf + 330
58.648 * * [simplify]: Extracting #4: cost 4 inf + 2256
58.649 * * [simplify]: Extracting #5: cost 0 inf + 2704
58.650 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
58.650 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))
58.650 * * * * [progress]: [ 43 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))>
58.651 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
58.651 * * [simplify]: iters left: 6 (7 enodes)
58.655 * * [simplify]: iters left: 5 (31 enodes)
58.666 * * [simplify]: iters left: 4 (51 enodes)
58.682 * * [simplify]: iters left: 3 (64 enodes)
58.698 * * [simplify]: iters left: 2 (77 enodes)
58.708 * * [simplify]: iters left: 1 (84 enodes)
58.719 * * [simplify]: Extracting #0: cost 1 inf + 0
58.719 * * [simplify]: Extracting #1: cost 11 inf + 0
58.719 * * [simplify]: Extracting #2: cost 26 inf + 82
58.719 * * [simplify]: Extracting #3: cost 24 inf + 692
58.720 * * [simplify]: Extracting #4: cost 3 inf + 3057
58.721 * * [simplify]: Extracting #5: cost 0 inf + 3504
58.723 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
58.723 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (sqrt k))))
58.723 * * * * [progress]: [ 44 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))>
58.723 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
58.723 * * [simplify]: iters left: 6 (7 enodes)
58.728 * * [simplify]: iters left: 5 (31 enodes)
58.738 * * [simplify]: iters left: 4 (51 enodes)
58.754 * * [simplify]: iters left: 3 (64 enodes)
58.775 * * [simplify]: iters left: 2 (77 enodes)
58.797 * * [simplify]: iters left: 1 (84 enodes)
58.818 * * [simplify]: Extracting #0: cost 1 inf + 0
58.818 * * [simplify]: Extracting #1: cost 11 inf + 0
58.818 * * [simplify]: Extracting #2: cost 26 inf + 42
58.819 * * [simplify]: Extracting #3: cost 24 inf + 452
58.819 * * [simplify]: Extracting #4: cost 3 inf + 2337
58.820 * * [simplify]: Extracting #5: cost 0 inf + 2704
58.822 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
58.822 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (sqrt k))))
58.822 * * * * [progress]: [ 45 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.822 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
58.822 * * [simplify]: iters left: 6 (6 enodes)
58.827 * * [simplify]: iters left: 5 (29 enodes)
58.838 * * [simplify]: iters left: 4 (44 enodes)
58.851 * * [simplify]: iters left: 3 (50 enodes)
58.866 * * [simplify]: iters left: 2 (57 enodes)
58.882 * * [simplify]: Extracting #0: cost 1 inf + 0
58.882 * * [simplify]: Extracting #1: cost 9 inf + 0
58.882 * * [simplify]: Extracting #2: cost 15 inf + 3
58.882 * * [simplify]: Extracting #3: cost 11 inf + 131
58.883 * * [simplify]: Extracting #4: cost 2 inf + 711
58.883 * * [simplify]: Extracting #5: cost 0 inf + 836
58.884 * [simplify]: Simplified to (- 1/4 (/ k 4))
58.884 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (sqrt k))))
58.884 * * * * [progress]: [ 46 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (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))) (sqrt k))))>
58.884 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
58.885 * * [simplify]: iters left: 6 (9 enodes)
58.890 * * [simplify]: iters left: 5 (36 enodes)
58.902 * * [simplify]: iters left: 4 (58 enodes)
58.922 * * [simplify]: iters left: 3 (71 enodes)
58.943 * * [simplify]: iters left: 2 (79 enodes)
58.954 * * [simplify]: iters left: 1 (80 enodes)
58.964 * * [simplify]: Extracting #0: cost 1 inf + 0
58.964 * * [simplify]: Extracting #1: cost 9 inf + 0
58.964 * * [simplify]: Extracting #2: cost 24 inf + 0
58.964 * * [simplify]: Extracting #3: cost 29 inf + 2
58.965 * * [simplify]: Extracting #4: cost 10 inf + 2233
58.965 * * [simplify]: Extracting #5: cost 1 inf + 4013
58.966 * * [simplify]: Extracting #6: cost 0 inf + 4135
58.966 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
58.966 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (sqrt k))))
58.967 * * * * [progress]: [ 47 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
58.967 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
58.967 * * [simplify]: iters left: 6 (10 enodes)
58.970 * * [simplify]: iters left: 5 (39 enodes)
58.977 * * [simplify]: iters left: 4 (64 enodes)
58.987 * * [simplify]: iters left: 3 (86 enodes)
58.998 * * [simplify]: iters left: 2 (99 enodes)
59.026 * * [simplify]: iters left: 1 (104 enodes)
59.040 * * [simplify]: Extracting #0: cost 1 inf + 0
59.040 * * [simplify]: Extracting #1: cost 11 inf + 0
59.040 * * [simplify]: Extracting #2: cost 31 inf + 0
59.041 * * [simplify]: Extracting #3: cost 39 inf + 2
59.041 * * [simplify]: Extracting #4: cost 22 inf + 1871
59.042 * * [simplify]: Extracting #5: cost 4 inf + 4865
59.043 * * [simplify]: Extracting #6: cost 0 inf + 5675
59.044 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
59.044 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (sqrt k))))
59.044 * * * * [progress]: [ 48 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) (sqrt k))))>
59.044 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
59.044 * * [simplify]: iters left: 6 (9 enodes)
59.047 * * [simplify]: iters left: 5 (36 enodes)
59.054 * * [simplify]: iters left: 4 (61 enodes)
59.066 * * [simplify]: iters left: 3 (84 enodes)
59.089 * * [simplify]: iters left: 2 (96 enodes)
59.115 * * [simplify]: iters left: 1 (100 enodes)
59.142 * * [simplify]: Extracting #0: cost 1 inf + 0
59.142 * * [simplify]: Extracting #1: cost 11 inf + 0
59.143 * * [simplify]: Extracting #2: cost 27 inf + 82
59.143 * * [simplify]: Extracting #3: cost 29 inf + 651
59.144 * * [simplify]: Extracting #4: cost 12 inf + 2763
59.145 * * [simplify]: Extracting #5: cost 1 inf + 4587
59.147 * * [simplify]: Extracting #6: cost 0 inf + 4710
59.148 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
59.148 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (sqrt k))))
59.149 * * * * [progress]: [ 49 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
59.149 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
59.149 * * [simplify]: iters left: 6 (10 enodes)
59.156 * * [simplify]: iters left: 5 (39 enodes)
59.169 * * [simplify]: iters left: 4 (64 enodes)
59.189 * * [simplify]: iters left: 3 (86 enodes)
59.213 * * [simplify]: iters left: 2 (99 enodes)
59.233 * * [simplify]: iters left: 1 (104 enodes)
59.246 * * [simplify]: Extracting #0: cost 1 inf + 0
59.246 * * [simplify]: Extracting #1: cost 11 inf + 0
59.246 * * [simplify]: Extracting #2: cost 31 inf + 0
59.246 * * [simplify]: Extracting #3: cost 39 inf + 2
59.247 * * [simplify]: Extracting #4: cost 22 inf + 1831
59.247 * * [simplify]: Extracting #5: cost 4 inf + 4785
59.248 * * [simplify]: Extracting #6: cost 0 inf + 5595
59.249 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
59.249 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (sqrt k))))
59.250 * * * * [progress]: [ 50 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
59.250 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
59.250 * * [simplify]: iters left: 6 (9 enodes)
59.255 * * [simplify]: iters left: 5 (36 enodes)
59.270 * * [simplify]: iters left: 4 (57 enodes)
59.289 * * [simplify]: iters left: 3 (73 enodes)
59.309 * * [simplify]: iters left: 2 (80 enodes)
59.325 * * [simplify]: iters left: 1 (81 enodes)
59.335 * * [simplify]: Extracting #0: cost 1 inf + 0
59.335 * * [simplify]: Extracting #1: cost 9 inf + 0
59.336 * * [simplify]: Extracting #2: cost 18 inf + 43
59.336 * * [simplify]: Extracting #3: cost 23 inf + 85
59.336 * * [simplify]: Extracting #4: cost 9 inf + 1271
59.336 * * [simplify]: Extracting #5: cost 0 inf + 2370
59.337 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
59.337 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (sqrt k))))
59.337 * * * * [progress]: [ 51 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) (sqrt k))))>
59.337 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
59.337 * * [simplify]: iters left: 6 (9 enodes)
59.341 * * [simplify]: iters left: 5 (36 enodes)
59.347 * * [simplify]: iters left: 4 (61 enodes)
59.357 * * [simplify]: iters left: 3 (84 enodes)
59.376 * * [simplify]: iters left: 2 (96 enodes)
59.402 * * [simplify]: iters left: 1 (100 enodes)
59.426 * * [simplify]: Extracting #0: cost 1 inf + 0
59.426 * * [simplify]: Extracting #1: cost 11 inf + 0
59.427 * * [simplify]: Extracting #2: cost 27 inf + 42
59.427 * * [simplify]: Extracting #3: cost 29 inf + 411
59.428 * * [simplify]: Extracting #4: cost 12 inf + 2163
59.429 * * [simplify]: Extracting #5: cost 1 inf + 3707
59.431 * * [simplify]: Extracting #6: cost 0 inf + 3830
59.432 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
59.432 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (sqrt k))))
59.433 * * * * [progress]: [ 52 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) (sqrt k))))>
59.433 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
59.433 * * [simplify]: iters left: 6 (9 enodes)
59.439 * * [simplify]: iters left: 5 (36 enodes)
59.453 * * [simplify]: iters left: 4 (62 enodes)
59.466 * * [simplify]: iters left: 3 (78 enodes)
59.477 * * [simplify]: iters left: 2 (90 enodes)
59.489 * * [simplify]: iters left: 1 (94 enodes)
59.507 * * [simplify]: Extracting #0: cost 1 inf + 0
59.507 * * [simplify]: Extracting #1: cost 11 inf + 0
59.507 * * [simplify]: Extracting #2: cost 27 inf + 1
59.507 * * [simplify]: Extracting #3: cost 29 inf + 409
59.508 * * [simplify]: Extracting #4: cost 12 inf + 2359
59.509 * * [simplify]: Extracting #5: cost 2 inf + 4022
59.511 * * [simplify]: Extracting #6: cost 0 inf + 4466
59.512 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
59.512 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (sqrt k))))
59.512 * * * * [progress]: [ 53 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) (sqrt k))))>
59.513 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
59.513 * * [simplify]: iters left: 6 (9 enodes)
59.518 * * [simplify]: iters left: 5 (36 enodes)
59.527 * * [simplify]: iters left: 4 (62 enodes)
59.536 * * [simplify]: iters left: 3 (78 enodes)
59.546 * * [simplify]: iters left: 2 (90 enodes)
59.563 * * [simplify]: iters left: 1 (94 enodes)
59.586 * * [simplify]: Extracting #0: cost 1 inf + 0
59.586 * * [simplify]: Extracting #1: cost 11 inf + 0
59.586 * * [simplify]: Extracting #2: cost 27 inf + 1
59.587 * * [simplify]: Extracting #3: cost 29 inf + 249
59.587 * * [simplify]: Extracting #4: cost 12 inf + 1879
59.588 * * [simplify]: Extracting #5: cost 2 inf + 3302
59.590 * * [simplify]: Extracting #6: cost 0 inf + 3666
59.591 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
59.591 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (sqrt k))))
59.592 * * * * [progress]: [ 54 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) (sqrt k))))>
59.592 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
59.592 * * [simplify]: iters left: 6 (8 enodes)
59.597 * * [simplify]: iters left: 5 (34 enodes)
59.610 * * [simplify]: iters left: 4 (58 enodes)
59.628 * * [simplify]: iters left: 3 (65 enodes)
59.644 * * [simplify]: Extracting #0: cost 1 inf + 0
59.644 * * [simplify]: Extracting #1: cost 8 inf + 0
59.644 * * [simplify]: Extracting #2: cost 14 inf + 3
59.644 * * [simplify]: Extracting #3: cost 17 inf + 5
59.644 * * [simplify]: Extracting #4: cost 12 inf + 292
59.645 * * [simplify]: Extracting #5: cost 1 inf + 1355
59.645 * * [simplify]: Extracting #6: cost 0 inf + 1478
59.646 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
59.646 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (sqrt k))))
59.647 * * * * [progress]: [ 55 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (sqrt k))))>
59.647 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
59.647 * * [simplify]: iters left: 6 (8 enodes)
59.652 * * [simplify]: iters left: 5 (33 enodes)
59.663 * * [simplify]: iters left: 4 (52 enodes)
59.679 * * [simplify]: iters left: 3 (62 enodes)
59.697 * * [simplify]: iters left: 2 (67 enodes)
59.715 * * [simplify]: Extracting #0: cost 1 inf + 0
59.715 * * [simplify]: Extracting #1: cost 9 inf + 0
59.715 * * [simplify]: Extracting #2: cost 23 inf + 0
59.715 * * [simplify]: Extracting #3: cost 24 inf + 285
59.715 * * [simplify]: Extracting #4: cost 18 inf + 975
59.716 * * [simplify]: Extracting #5: cost 7 inf + 2516
59.717 * * [simplify]: Extracting #6: cost 0 inf + 3891
59.718 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
59.718 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (sqrt k))))
59.719 * * * * [progress]: [ 56 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
59.719 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
59.719 * * [simplify]: iters left: 6 (9 enodes)
59.724 * * [simplify]: iters left: 5 (36 enodes)
59.737 * * [simplify]: iters left: 4 (58 enodes)
59.755 * * [simplify]: iters left: 3 (75 enodes)
59.779 * * [simplify]: iters left: 2 (87 enodes)
59.802 * * [simplify]: iters left: 1 (91 enodes)
59.826 * * [simplify]: Extracting #0: cost 1 inf + 0
59.827 * * [simplify]: Extracting #1: cost 11 inf + 0
59.827 * * [simplify]: Extracting #2: cost 30 inf + 0
59.827 * * [simplify]: Extracting #3: cost 36 inf + 83
59.827 * * [simplify]: Extracting #4: cost 30 inf + 451
59.828 * * [simplify]: Extracting #5: cost 10 inf + 3649
59.830 * * [simplify]: Extracting #6: cost 0 inf + 5431
59.832 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
59.832 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (sqrt k))))
59.832 * * * * [progress]: [ 57 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) (sqrt k))))>
59.833 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
59.833 * * [simplify]: iters left: 6 (8 enodes)
59.838 * * [simplify]: iters left: 5 (33 enodes)
59.850 * * [simplify]: iters left: 4 (55 enodes)
59.868 * * [simplify]: iters left: 3 (73 enodes)
59.889 * * [simplify]: iters left: 2 (84 enodes)
59.912 * * [simplify]: iters left: 1 (87 enodes)
59.937 * * [simplify]: Extracting #0: cost 1 inf + 0
59.937 * * [simplify]: Extracting #1: cost 11 inf + 0
59.938 * * [simplify]: Extracting #2: cost 25 inf + 203
59.938 * * [simplify]: Extracting #3: cost 29 inf + 407
59.938 * * [simplify]: Extracting #4: cost 24 inf + 896
59.939 * * [simplify]: Extracting #5: cost 9 inf + 2805
59.940 * * [simplify]: Extracting #6: cost 0 inf + 4466
59.942 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
59.942 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (sqrt k))))
59.942 * * * * [progress]: [ 58 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
59.942 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
59.942 * * [simplify]: iters left: 6 (9 enodes)
59.946 * * [simplify]: iters left: 5 (36 enodes)
59.952 * * [simplify]: iters left: 4 (58 enodes)
59.962 * * [simplify]: iters left: 3 (75 enodes)
59.973 * * [simplify]: iters left: 2 (87 enodes)
59.997 * * [simplify]: iters left: 1 (91 enodes)
60.012 * * [simplify]: Extracting #0: cost 1 inf + 0
60.013 * * [simplify]: Extracting #1: cost 11 inf + 0
60.013 * * [simplify]: Extracting #2: cost 30 inf + 0
60.013 * * [simplify]: Extracting #3: cost 36 inf + 43
60.013 * * [simplify]: Extracting #4: cost 30 inf + 451
60.013 * * [simplify]: Extracting #5: cost 10 inf + 3769
60.014 * * [simplify]: Extracting #6: cost 0 inf + 5431
60.015 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
60.015 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (sqrt k))))
60.015 * * * * [progress]: [ 59 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
60.015 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
60.015 * * [simplify]: iters left: 6 (8 enodes)
60.018 * * [simplify]: iters left: 5 (33 enodes)
60.024 * * [simplify]: iters left: 4 (51 enodes)
60.033 * * [simplify]: iters left: 3 (59 enodes)
60.041 * * [simplify]: Extracting #0: cost 1 inf + 0
60.042 * * [simplify]: Extracting #1: cost 8 inf + 0
60.042 * * [simplify]: Extracting #2: cost 15 inf + 43
60.042 * * [simplify]: Extracting #3: cost 19 inf + 85
60.042 * * [simplify]: Extracting #4: cost 16 inf + 250
60.042 * * [simplify]: Extracting #5: cost 5 inf + 1311
60.042 * * [simplify]: Extracting #6: cost 0 inf + 1962
60.043 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
60.043 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (sqrt k))))
60.043 * * * * [progress]: [ 60 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) (sqrt k))))>
60.043 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
60.043 * * [simplify]: iters left: 6 (8 enodes)
60.046 * * [simplify]: iters left: 5 (33 enodes)
60.052 * * [simplify]: iters left: 4 (55 enodes)
60.065 * * [simplify]: iters left: 3 (73 enodes)
60.086 * * [simplify]: iters left: 2 (84 enodes)
60.101 * * [simplify]: iters left: 1 (87 enodes)
60.113 * * [simplify]: Extracting #0: cost 1 inf + 0
60.113 * * [simplify]: Extracting #1: cost 11 inf + 0
60.113 * * [simplify]: Extracting #2: cost 25 inf + 123
60.113 * * [simplify]: Extracting #3: cost 29 inf + 247
60.113 * * [simplify]: Extracting #4: cost 24 inf + 576
60.114 * * [simplify]: Extracting #5: cost 9 inf + 2245
60.114 * * [simplify]: Extracting #6: cost 0 inf + 3666
60.115 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
60.115 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (sqrt k))))
60.115 * * * * [progress]: [ 61 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) (sqrt k))))>
60.115 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
60.115 * * [simplify]: iters left: 6 (8 enodes)
60.120 * * [simplify]: iters left: 5 (34 enodes)
60.135 * * [simplify]: iters left: 4 (54 enodes)
60.152 * * [simplify]: iters left: 3 (67 enodes)
60.172 * * [simplify]: iters left: 2 (80 enodes)
60.194 * * [simplify]: iters left: 1 (87 enodes)
60.217 * * [simplify]: Extracting #0: cost 1 inf + 0
60.217 * * [simplify]: Extracting #1: cost 11 inf + 0
60.217 * * [simplify]: Extracting #2: cost 25 inf + 203
60.217 * * [simplify]: Extracting #3: cost 26 inf + 773
60.218 * * [simplify]: Extracting #4: cost 24 inf + 896
60.218 * * [simplify]: Extracting #5: cost 8 inf + 3127
60.220 * * [simplify]: Extracting #6: cost 0 inf + 4466
60.221 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
60.221 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (sqrt k))))
60.222 * * * * [progress]: [ 62 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) (sqrt k))))>
60.222 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
60.222 * * [simplify]: iters left: 6 (8 enodes)
60.227 * * [simplify]: iters left: 5 (34 enodes)
60.239 * * [simplify]: iters left: 4 (54 enodes)
60.248 * * [simplify]: iters left: 3 (67 enodes)
60.257 * * [simplify]: iters left: 2 (80 enodes)
60.276 * * [simplify]: iters left: 1 (87 enodes)
60.292 * * [simplify]: Extracting #0: cost 1 inf + 0
60.292 * * [simplify]: Extracting #1: cost 11 inf + 0
60.292 * * [simplify]: Extracting #2: cost 25 inf + 123
60.292 * * [simplify]: Extracting #3: cost 26 inf + 493
60.292 * * [simplify]: Extracting #4: cost 24 inf + 576
60.293 * * [simplify]: Extracting #5: cost 8 inf + 2527
60.294 * * [simplify]: Extracting #6: cost 0 inf + 3666
60.294 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
60.294 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (sqrt k))))
60.294 * * * * [progress]: [ 63 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k))))>
60.295 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
60.295 * * [simplify]: iters left: 6 (7 enodes)
60.297 * * [simplify]: iters left: 5 (32 enodes)
60.303 * * [simplify]: iters left: 4 (50 enodes)
60.311 * * [simplify]: iters left: 3 (54 enodes)
60.318 * * [simplify]: Extracting #0: cost 1 inf + 0
60.318 * * [simplify]: Extracting #1: cost 8 inf + 0
60.318 * * [simplify]: Extracting #2: cost 13 inf + 3
60.318 * * [simplify]: Extracting #3: cost 15 inf + 5
60.318 * * [simplify]: Extracting #4: cost 14 inf + 6
60.319 * * [simplify]: Extracting #5: cost 4 inf + 825
60.319 * * [simplify]: Extracting #6: cost 0 inf + 1234
60.319 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
60.319 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (sqrt k))))
60.319 * * * * [progress]: [ 64 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (sqrt k))))>
60.320 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
60.320 * * [simplify]: iters left: 6 (7 enodes)
60.324 * * [simplify]: iters left: 5 (30 enodes)
60.334 * * [simplify]: iters left: 4 (49 enodes)
60.350 * * [simplify]: iters left: 3 (59 enodes)
60.367 * * [simplify]: iters left: 2 (64 enodes)
60.387 * * [simplify]: Extracting #0: cost 1 inf + 0
60.388 * * [simplify]: Extracting #1: cost 9 inf + 0
60.388 * * [simplify]: Extracting #2: cost 23 inf + 0
60.388 * * [simplify]: Extracting #3: cost 24 inf + 3
60.388 * * [simplify]: Extracting #4: cost 15 inf + 980
60.389 * * [simplify]: Extracting #5: cost 1 inf + 3007
60.390 * * [simplify]: Extracting #6: cost 0 inf + 3169
60.391 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
60.391 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (sqrt k))))
60.391 * * * * [progress]: [ 65 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k))))>
60.392 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
60.392 * * [simplify]: iters left: 6 (8 enodes)
60.397 * * [simplify]: iters left: 5 (33 enodes)
60.410 * * [simplify]: iters left: 4 (55 enodes)
60.427 * * [simplify]: iters left: 3 (72 enodes)
60.448 * * [simplify]: iters left: 2 (84 enodes)
60.471 * * [simplify]: iters left: 1 (88 enodes)
60.484 * * [simplify]: Extracting #0: cost 1 inf + 0
60.484 * * [simplify]: Extracting #1: cost 11 inf + 0
60.484 * * [simplify]: Extracting #2: cost 30 inf + 0
60.484 * * [simplify]: Extracting #3: cost 33 inf + 84
60.484 * * [simplify]: Extracting #4: cost 12 inf + 2402
60.485 * * [simplify]: Extracting #5: cost 0 inf + 4469
60.486 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
60.486 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))
60.486 * * * * [progress]: [ 66 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (sqrt k))))>
60.486 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
60.486 * * [simplify]: iters left: 6 (7 enodes)
60.489 * * [simplify]: iters left: 5 (30 enodes)
60.495 * * [simplify]: iters left: 4 (52 enodes)
60.505 * * [simplify]: iters left: 3 (70 enodes)
60.527 * * [simplify]: iters left: 2 (81 enodes)
60.550 * * [simplify]: iters left: 1 (84 enodes)
60.571 * * [simplify]: Extracting #0: cost 1 inf + 0
60.571 * * [simplify]: Extracting #1: cost 11 inf + 0
60.572 * * [simplify]: Extracting #2: cost 25 inf + 203
60.572 * * [simplify]: Extracting #3: cost 25 inf + 530
60.573 * * [simplify]: Extracting #4: cost 4 inf + 2936
60.574 * * [simplify]: Extracting #5: cost 0 inf + 3504
60.575 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
60.575 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))
60.575 * * * * [progress]: [ 67 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))>
60.576 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
60.576 * * [simplify]: iters left: 6 (8 enodes)
60.581 * * [simplify]: iters left: 5 (33 enodes)
60.591 * * [simplify]: iters left: 4 (55 enodes)
60.600 * * [simplify]: iters left: 3 (72 enodes)
60.611 * * [simplify]: iters left: 2 (84 enodes)
60.625 * * [simplify]: iters left: 1 (88 enodes)
60.651 * * [simplify]: Extracting #0: cost 1 inf + 0
60.651 * * [simplify]: Extracting #1: cost 11 inf + 0
60.651 * * [simplify]: Extracting #2: cost 30 inf + 0
60.651 * * [simplify]: Extracting #3: cost 33 inf + 44
60.652 * * [simplify]: Extracting #4: cost 12 inf + 2362
60.653 * * [simplify]: Extracting #5: cost 0 inf + 4469
60.655 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
60.655 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k))))
60.655 * * * * [progress]: [ 68 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (sqrt k))))>
60.655 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
60.655 * * [simplify]: iters left: 6 (7 enodes)
60.660 * * [simplify]: iters left: 5 (30 enodes)
60.671 * * [simplify]: iters left: 4 (48 enodes)
60.686 * * [simplify]: iters left: 3 (56 enodes)
60.701 * * [simplify]: Extracting #0: cost 1 inf + 0
60.701 * * [simplify]: Extracting #1: cost 8 inf + 0
60.702 * * [simplify]: Extracting #2: cost 15 inf + 43
60.702 * * [simplify]: Extracting #3: cost 16 inf + 86
60.702 * * [simplify]: Extracting #4: cost 5 inf + 911
60.703 * * [simplify]: Extracting #5: cost 1 inf + 1198
60.703 * * [simplify]: Extracting #6: cost 0 inf + 1320
60.704 * [simplify]: Simplified to (/ (- 1 k) 2)
60.704 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (sqrt k))))
60.704 * * * * [progress]: [ 69 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (sqrt k))))>
60.705 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
60.705 * * [simplify]: iters left: 6 (7 enodes)
60.709 * * [simplify]: iters left: 5 (30 enodes)
60.721 * * [simplify]: iters left: 4 (52 enodes)
60.737 * * [simplify]: iters left: 3 (70 enodes)
60.756 * * [simplify]: iters left: 2 (81 enodes)
60.779 * * [simplify]: iters left: 1 (84 enodes)
60.804 * * [simplify]: Extracting #0: cost 1 inf + 0
60.804 * * [simplify]: Extracting #1: cost 11 inf + 0
60.804 * * [simplify]: Extracting #2: cost 25 inf + 123
60.804 * * [simplify]: Extracting #3: cost 25 inf + 330
60.805 * * [simplify]: Extracting #4: cost 4 inf + 2256
60.806 * * [simplify]: Extracting #5: cost 0 inf + 2704
60.808 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
60.808 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))
60.808 * * * * [progress]: [ 70 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))>
60.808 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
60.808 * * [simplify]: iters left: 6 (7 enodes)
60.814 * * [simplify]: iters left: 5 (31 enodes)
60.825 * * [simplify]: iters left: 4 (51 enodes)
60.834 * * [simplify]: iters left: 3 (64 enodes)
60.843 * * [simplify]: iters left: 2 (77 enodes)
60.854 * * [simplify]: iters left: 1 (84 enodes)
60.865 * * [simplify]: Extracting #0: cost 1 inf + 0
60.865 * * [simplify]: Extracting #1: cost 11 inf + 0
60.866 * * [simplify]: Extracting #2: cost 26 inf + 82
60.866 * * [simplify]: Extracting #3: cost 24 inf + 692
60.866 * * [simplify]: Extracting #4: cost 3 inf + 3057
60.867 * * [simplify]: Extracting #5: cost 0 inf + 3504
60.867 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
60.867 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (sqrt k))))
60.867 * * * * [progress]: [ 71 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))>
60.868 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
60.868 * * [simplify]: iters left: 6 (7 enodes)
60.870 * * [simplify]: iters left: 5 (31 enodes)
60.876 * * [simplify]: iters left: 4 (51 enodes)
60.890 * * [simplify]: iters left: 3 (64 enodes)
60.902 * * [simplify]: iters left: 2 (77 enodes)
60.913 * * [simplify]: iters left: 1 (84 enodes)
60.924 * * [simplify]: Extracting #0: cost 1 inf + 0
60.924 * * [simplify]: Extracting #1: cost 11 inf + 0
60.924 * * [simplify]: Extracting #2: cost 26 inf + 42
60.924 * * [simplify]: Extracting #3: cost 24 inf + 452
60.925 * * [simplify]: Extracting #4: cost 3 inf + 2337
60.925 * * [simplify]: Extracting #5: cost 0 inf + 2704
60.926 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
60.926 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (sqrt k))))
60.926 * * * * [progress]: [ 72 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
60.926 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
60.926 * * [simplify]: iters left: 6 (6 enodes)
60.929 * * [simplify]: iters left: 5 (29 enodes)
60.936 * * [simplify]: iters left: 4 (44 enodes)
60.949 * * [simplify]: iters left: 3 (50 enodes)
60.964 * * [simplify]: iters left: 2 (57 enodes)
60.979 * * [simplify]: Extracting #0: cost 1 inf + 0
60.979 * * [simplify]: Extracting #1: cost 9 inf + 0
60.979 * * [simplify]: Extracting #2: cost 15 inf + 3
60.979 * * [simplify]: Extracting #3: cost 11 inf + 131
60.980 * * [simplify]: Extracting #4: cost 2 inf + 711
60.980 * * [simplify]: Extracting #5: cost 0 inf + 836
60.981 * [simplify]: Simplified to (- 1/4 (/ k 4))
60.981 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (sqrt k))))
60.981 * * * * [progress]: [ 73 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))>
60.981 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
60.981 * * [simplify]: iters left: 6 (7 enodes)
60.986 * * [simplify]: iters left: 5 (31 enodes)
60.997 * * [simplify]: iters left: 4 (51 enodes)
61.015 * * [simplify]: iters left: 3 (64 enodes)
61.034 * * [simplify]: iters left: 2 (77 enodes)
61.055 * * [simplify]: iters left: 1 (84 enodes)
61.067 * * [simplify]: Extracting #0: cost 1 inf + 0
61.067 * * [simplify]: Extracting #1: cost 11 inf + 0
61.067 * * [simplify]: Extracting #2: cost 26 inf + 82
61.067 * * [simplify]: Extracting #3: cost 24 inf + 692
61.068 * * [simplify]: Extracting #4: cost 3 inf + 3057
61.068 * * [simplify]: Extracting #5: cost 0 inf + 3504
61.069 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
61.069 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (sqrt k))))
61.069 * * * * [progress]: [ 74 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))>
61.069 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
61.069 * * [simplify]: iters left: 6 (7 enodes)
61.072 * * [simplify]: iters left: 5 (31 enodes)
61.078 * * [simplify]: iters left: 4 (51 enodes)
61.086 * * [simplify]: iters left: 3 (64 enodes)
61.103 * * [simplify]: iters left: 2 (77 enodes)
61.127 * * [simplify]: iters left: 1 (84 enodes)
61.145 * * [simplify]: Extracting #0: cost 1 inf + 0
61.145 * * [simplify]: Extracting #1: cost 11 inf + 0
61.145 * * [simplify]: Extracting #2: cost 26 inf + 42
61.145 * * [simplify]: Extracting #3: cost 24 inf + 452
61.146 * * [simplify]: Extracting #4: cost 3 inf + 2337
61.146 * * [simplify]: Extracting #5: cost 0 inf + 2704
61.147 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
61.147 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (sqrt k))))
61.147 * * * * [progress]: [ 75 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
61.147 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
61.147 * * [simplify]: iters left: 6 (6 enodes)
61.150 * * [simplify]: iters left: 5 (29 enodes)
61.155 * * [simplify]: iters left: 4 (44 enodes)
61.162 * * [simplify]: iters left: 3 (50 enodes)
61.177 * * [simplify]: iters left: 2 (57 enodes)
61.193 * * [simplify]: Extracting #0: cost 1 inf + 0
61.193 * * [simplify]: Extracting #1: cost 9 inf + 0
61.194 * * [simplify]: Extracting #2: cost 15 inf + 3
61.194 * * [simplify]: Extracting #3: cost 11 inf + 131
61.194 * * [simplify]: Extracting #4: cost 2 inf + 711
61.195 * * [simplify]: Extracting #5: cost 0 inf + 836
61.195 * [simplify]: Simplified to (- 1/4 (/ k 4))
61.195 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) (sqrt k))))
61.195 * * * * [progress]: [ 76 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (sqrt k))))>
61.196 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
61.196 * * [simplify]: iters left: 4 (5 enodes)
61.200 * * [simplify]: iters left: 3 (20 enodes)
61.207 * * [simplify]: iters left: 2 (27 enodes)
61.216 * * [simplify]: iters left: 1 (29 enodes)
61.224 * * [simplify]: Extracting #0: cost 1 inf + 0
61.224 * * [simplify]: Extracting #1: cost 8 inf + 0
61.224 * * [simplify]: Extracting #2: cost 4 inf + 449
61.225 * * [simplify]: Extracting #3: cost 0 inf + 895
61.225 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
61.225 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (sqrt k))))
61.225 * * * * [progress]: [ 77 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (sqrt k))))>
61.225 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
61.225 * * [simplify]: iters left: 4 (5 enodes)
61.227 * * [simplify]: iters left: 3 (20 enodes)
61.231 * * [simplify]: iters left: 2 (27 enodes)
61.236 * * [simplify]: iters left: 1 (29 enodes)
61.241 * * [simplify]: Extracting #0: cost 1 inf + 0
61.241 * * [simplify]: Extracting #1: cost 8 inf + 0
61.241 * * [simplify]: Extracting #2: cost 4 inf + 289
61.241 * * [simplify]: Extracting #3: cost 0 inf + 575
61.241 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
61.241 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (sqrt k))))
61.241 * * * * [progress]: [ 78 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) (sqrt k))))>
61.241 * [simplify]: Simplifying (/ (/ 1 2) 2)
61.241 * * [simplify]: iters left: 4 (4 enodes)
61.246 * * [simplify]: iters left: 3 (19 enodes)
61.249 * * [simplify]: iters left: 2 (23 enodes)
61.252 * * [simplify]: Extracting #0: cost 1 inf + 0
61.252 * * [simplify]: Extracting #1: cost 0 inf + 1
61.252 * [simplify]: Simplified to 1/4
61.252 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) (sqrt k))))
61.253 * * * * [progress]: [ 79 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
61.253 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
61.253 * * [simplify]: iters left: 6 (6 enodes)
61.255 * * [simplify]: iters left: 5 (29 enodes)
61.265 * * [simplify]: iters left: 4 (44 enodes)
61.277 * * [simplify]: iters left: 3 (50 enodes)
61.293 * * [simplify]: iters left: 2 (57 enodes)
61.309 * * [simplify]: Extracting #0: cost 1 inf + 0
61.309 * * [simplify]: Extracting #1: cost 9 inf + 0
61.309 * * [simplify]: Extracting #2: cost 15 inf + 3
61.309 * * [simplify]: Extracting #3: cost 11 inf + 131
61.310 * * [simplify]: Extracting #4: cost 2 inf + 711
61.310 * * [simplify]: Extracting #5: cost 0 inf + 836
61.311 * [simplify]: Simplified to (- 1/4 (/ k 4))
61.311 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (sqrt k))))
61.311 * * * * [progress]: [ 80 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)) (sqrt k))))>
61.311 * [simplify]: Simplifying (/ 1 2)
61.311 * * [simplify]: iters left: 2 (3 enodes)
61.314 * * [simplify]: iters left: 1 (12 enodes)
61.317 * * [simplify]: Extracting #0: cost 1 inf + 0
61.317 * * [simplify]: Extracting #1: cost 0 inf + 1
61.318 * [simplify]: Simplified to 1/2
61.318 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) (sqrt k))))
61.318 * * * * [progress]: [ 81 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
61.318 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
61.318 * * [simplify]: iters left: 6 (8 enodes)
61.321 * * [simplify]: iters left: 5 (38 enodes)
61.328 * * [simplify]: iters left: 4 (66 enodes)
61.340 * * [simplify]: iters left: 3 (110 enodes)
61.373 * * [simplify]: iters left: 2 (200 enodes)
61.429 * * [simplify]: iters left: 1 (403 enodes)
61.567 * * [simplify]: Extracting #0: cost 1 inf + 0
61.567 * * [simplify]: Extracting #1: cost 26 inf + 0
61.568 * * [simplify]: Extracting #2: cost 100 inf + 2
61.569 * * [simplify]: Extracting #3: cost 164 inf + 10
61.570 * * [simplify]: Extracting #4: cost 163 inf + 641
61.576 * * [simplify]: Extracting #5: cost 72 inf + 12998
61.587 * * [simplify]: Extracting #6: cost 25 inf + 35040
61.599 * * [simplify]: Extracting #7: cost 0 inf + 54806
61.607 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
61.608 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt k))))
61.608 * * * * [progress]: [ 82 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt k))))>
61.608 * * * * [progress]: [ 83 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
61.608 * * * * [progress]: [ 84 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
61.608 * * * * [progress]: [ 85 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (* (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)))) (sqrt k))))>
61.608 * * * * [progress]: [ 86 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (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)))) (sqrt k))))>
61.608 * * * * [progress]: [ 87 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
61.608 * * * * [progress]: [ 88 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
61.608 * * * * [progress]: [ 89 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt k))))>
61.608 * * * * [progress]: [ 90 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
61.608 * * * * [progress]: [ 91 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
61.608 * * * * [progress]: [ 92 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
61.608 * * * * [progress]: [ 93 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
61.608 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
61.608 * * [simplify]: iters left: 6 (14 enodes)
61.613 * * [simplify]: iters left: 5 (60 enodes)
61.627 * * [simplify]: iters left: 4 (108 enodes)
61.647 * * [simplify]: iters left: 3 (255 enodes)
61.712 * * [simplify]: Extracting #0: cost 1 inf + 0
61.712 * * [simplify]: Extracting #1: cost 34 inf + 0
61.713 * * [simplify]: Extracting #2: cost 122 inf + 73
61.713 * * [simplify]: Extracting #3: cost 134 inf + 2876
61.716 * * [simplify]: Extracting #4: cost 49 inf + 20493
61.723 * * [simplify]: Extracting #5: cost 4 inf + 30853
61.730 * * [simplify]: Extracting #6: cost 0 inf + 31808
61.736 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))
61.736 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
61.737 * * * * [progress]: [ 94 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
61.737 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
61.737 * * [simplify]: iters left: 6 (13 enodes)
61.741 * * [simplify]: iters left: 5 (58 enodes)
61.752 * * [simplify]: iters left: 4 (101 enodes)
61.774 * * [simplify]: iters left: 3 (211 enodes)
61.837 * * [simplify]: Extracting #0: cost 1 inf + 0
61.837 * * [simplify]: Extracting #1: cost 28 inf + 0
61.838 * * [simplify]: Extracting #2: cost 110 inf + 73
61.839 * * [simplify]: Extracting #3: cost 127 inf + 1744
61.845 * * [simplify]: Extracting #4: cost 73 inf + 10230
61.852 * * [simplify]: Extracting #5: cost 26 inf + 20266
61.857 * * [simplify]: Extracting #6: cost 6 inf + 24692
61.863 * * [simplify]: Extracting #7: cost 0 inf + 26084
61.869 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))
61.869 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
61.869 * * * * [progress]: [ 95 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
61.869 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
61.869 * * [simplify]: iters left: 6 (12 enodes)
61.874 * * [simplify]: iters left: 5 (57 enodes)
61.894 * * [simplify]: iters left: 4 (111 enodes)
61.930 * * [simplify]: iters left: 3 (214 enodes)
61.982 * * [simplify]: iters left: 2 (472 enodes)
62.159 * * [simplify]: Extracting #0: cost 1 inf + 0
62.159 * * [simplify]: Extracting #1: cost 40 inf + 0
62.160 * * [simplify]: Extracting #2: cost 158 inf + 4
62.161 * * [simplify]: Extracting #3: cost 193 inf + 1443
62.166 * * [simplify]: Extracting #4: cost 88 inf + 19136
62.181 * * [simplify]: Extracting #5: cost 7 inf + 36795
62.190 * * [simplify]: Extracting #6: cost 0 inf + 38243
62.199 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
62.200 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.200 * * * * [progress]: [ 96 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.200 * * * * [progress]: [ 97 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.200 * [simplify]: Simplifying (* n (* 2 PI))
62.200 * * [simplify]: iters left: 4 (5 enodes)
62.202 * * [simplify]: iters left: 3 (19 enodes)
62.205 * * [simplify]: iters left: 2 (27 enodes)
62.209 * * [simplify]: iters left: 1 (32 enodes)
62.222 * * [simplify]: Extracting #0: cost 1 inf + 0
62.222 * * [simplify]: Extracting #1: cost 8 inf + 0
62.222 * * [simplify]: Extracting #2: cost 7 inf + 45
62.222 * * [simplify]: Extracting #3: cost 0 inf + 421
62.222 * [simplify]: Simplified to (* (* PI 2) n)
62.223 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.223 * * * * [progress]: [ 98 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.223 * [simplify]: Simplifying (* n (* 2 PI))
62.223 * * [simplify]: iters left: 4 (5 enodes)
62.226 * * [simplify]: iters left: 3 (19 enodes)
62.230 * * [simplify]: iters left: 2 (27 enodes)
62.234 * * [simplify]: iters left: 1 (32 enodes)
62.238 * * [simplify]: Extracting #0: cost 1 inf + 0
62.238 * * [simplify]: Extracting #1: cost 8 inf + 0
62.238 * * [simplify]: Extracting #2: cost 7 inf + 45
62.238 * * [simplify]: Extracting #3: cost 0 inf + 421
62.238 * [simplify]: Simplified to (* (* PI 2) n)
62.238 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.239 * * * * [progress]: [ 99 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.239 * [simplify]: Simplifying (* n (* 2 PI))
62.239 * * [simplify]: iters left: 4 (5 enodes)
62.240 * * [simplify]: iters left: 3 (19 enodes)
62.243 * * [simplify]: iters left: 2 (27 enodes)
62.247 * * [simplify]: iters left: 1 (32 enodes)
62.251 * * [simplify]: Extracting #0: cost 1 inf + 0
62.251 * * [simplify]: Extracting #1: cost 8 inf + 0
62.252 * * [simplify]: Extracting #2: cost 7 inf + 45
62.252 * * [simplify]: Extracting #3: cost 0 inf + 421
62.252 * [simplify]: Simplified to (* (* PI 2) n)
62.252 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.252 * * * * [progress]: [ 100 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.252 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
62.252 * * [simplify]: iters left: 5 (9 enodes)
62.255 * * [simplify]: iters left: 4 (37 enodes)
62.265 * * [simplify]: iters left: 3 (57 enodes)
62.284 * * [simplify]: iters left: 2 (93 enodes)
62.302 * * [simplify]: iters left: 1 (170 enodes)
62.354 * * [simplify]: Extracting #0: cost 1 inf + 0
62.354 * * [simplify]: Extracting #1: cost 13 inf + 0
62.354 * * [simplify]: Extracting #2: cost 59 inf + 1
62.355 * * [simplify]: Extracting #3: cost 78 inf + 176
62.356 * * [simplify]: Extracting #4: cost 40 inf + 3875
62.361 * * [simplify]: Extracting #5: cost 7 inf + 16988
62.365 * * [simplify]: Extracting #6: cost 0 inf + 20577
62.368 * * [simplify]: Extracting #7: cost 0 inf + 20336
62.371 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
62.371 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.371 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.372 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
62.372 * * [simplify]: iters left: 6 (7 enodes)
62.375 * * [simplify]: iters left: 5 (32 enodes)
62.381 * * [simplify]: iters left: 4 (47 enodes)
62.388 * * [simplify]: iters left: 3 (53 enodes)
62.400 * * [simplify]: iters left: 2 (60 enodes)
62.412 * * [simplify]: Extracting #0: cost 1 inf + 0
62.412 * * [simplify]: Extracting #1: cost 3 inf + 0
62.412 * * [simplify]: Extracting #2: cost 11 inf + 0
62.412 * * [simplify]: Extracting #3: cost 17 inf + 3
62.413 * * [simplify]: Extracting #4: cost 14 inf + 129
62.413 * * [simplify]: Extracting #5: cost 3 inf + 794
62.413 * * [simplify]: Extracting #6: cost 0 inf + 1162
62.413 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
62.413 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.413 * * * * [progress]: [ 102 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.414 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
62.414 * * [simplify]: iters left: 6 (7 enodes)
62.416 * * [simplify]: iters left: 5 (32 enodes)
62.424 * * [simplify]: iters left: 4 (47 enodes)
62.431 * * [simplify]: iters left: 3 (53 enodes)
62.442 * * [simplify]: iters left: 2 (60 enodes)
62.459 * * [simplify]: Extracting #0: cost 1 inf + 0
62.459 * * [simplify]: Extracting #1: cost 3 inf + 0
62.459 * * [simplify]: Extracting #2: cost 11 inf + 0
62.459 * * [simplify]: Extracting #3: cost 17 inf + 3
62.459 * * [simplify]: Extracting #4: cost 14 inf + 129
62.460 * * [simplify]: Extracting #5: cost 3 inf + 794
62.460 * * [simplify]: Extracting #6: cost 0 inf + 1082
62.461 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
62.461 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.461 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.461 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
62.461 * * [simplify]: iters left: 6 (8 enodes)
62.467 * * [simplify]: iters left: 5 (32 enodes)
62.478 * * [simplify]: iters left: 4 (41 enodes)
62.491 * * [simplify]: Extracting #0: cost 1 inf + 0
62.491 * * [simplify]: Extracting #1: cost 4 inf + 0
62.491 * * [simplify]: Extracting #2: cost 8 inf + 0
62.491 * * [simplify]: Extracting #3: cost 9 inf + 163
62.491 * * [simplify]: Extracting #4: cost 13 inf + 164
62.491 * * [simplify]: Extracting #5: cost 10 inf + 249
62.491 * * [simplify]: Extracting #6: cost 3 inf + 986
62.492 * * [simplify]: Extracting #7: cost 0 inf + 1474
62.493 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
62.493 * [simplify]: Simplified (2 1 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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.493 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.493 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
62.494 * * [simplify]: iters left: 6 (8 enodes)
62.499 * * [simplify]: iters left: 5 (32 enodes)
62.510 * * [simplify]: iters left: 4 (41 enodes)
62.517 * * [simplify]: Extracting #0: cost 1 inf + 0
62.517 * * [simplify]: Extracting #1: cost 4 inf + 0
62.517 * * [simplify]: Extracting #2: cost 8 inf + 0
62.517 * * [simplify]: Extracting #3: cost 9 inf + 83
62.517 * * [simplify]: Extracting #4: cost 13 inf + 84
62.517 * * [simplify]: Extracting #5: cost 10 inf + 169
62.518 * * [simplify]: Extracting #6: cost 3 inf + 866
62.518 * * [simplify]: Extracting #7: cost 0 inf + 1314
62.518 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
62.518 * [simplify]: Simplified (2 1 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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.518 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.518 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
62.518 * * [simplify]: iters left: 6 (7 enodes)
62.521 * * [simplify]: iters left: 5 (29 enodes)
62.526 * * [simplify]: iters left: 4 (38 enodes)
62.532 * * [simplify]: Extracting #0: cost 1 inf + 0
62.532 * * [simplify]: Extracting #1: cost 4 inf + 0
62.532 * * [simplify]: Extracting #2: cost 5 inf + 1
62.532 * * [simplify]: Extracting #3: cost 9 inf + 1
62.532 * * [simplify]: Extracting #4: cost 13 inf + 2
62.532 * * [simplify]: Extracting #5: cost 12 inf + 4
62.533 * * [simplify]: Extracting #6: cost 2 inf + 746
62.533 * * [simplify]: Extracting #7: cost 0 inf + 1152
62.533 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
62.533 * [simplify]: Simplified (2 1 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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.533 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.533 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
62.533 * * [simplify]: iters left: 6 (8 enodes)
62.536 * * [simplify]: iters left: 5 (32 enodes)
62.547 * * [simplify]: iters left: 4 (41 enodes)
62.560 * * [simplify]: Extracting #0: cost 1 inf + 0
62.560 * * [simplify]: Extracting #1: cost 4 inf + 0
62.560 * * [simplify]: Extracting #2: cost 8 inf + 0
62.560 * * [simplify]: Extracting #3: cost 9 inf + 163
62.560 * * [simplify]: Extracting #4: cost 13 inf + 164
62.560 * * [simplify]: Extracting #5: cost 10 inf + 249
62.561 * * [simplify]: Extracting #6: cost 3 inf + 906
62.561 * * [simplify]: Extracting #7: cost 0 inf + 1314
62.562 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
62.562 * [simplify]: Simplified (2 1 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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.562 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.562 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
62.562 * * [simplify]: iters left: 6 (8 enodes)
62.568 * * [simplify]: iters left: 5 (32 enodes)
62.573 * * [simplify]: iters left: 4 (41 enodes)
62.580 * * [simplify]: Extracting #0: cost 1 inf + 0
62.580 * * [simplify]: Extracting #1: cost 4 inf + 0
62.580 * * [simplify]: Extracting #2: cost 8 inf + 0
62.580 * * [simplify]: Extracting #3: cost 9 inf + 83
62.580 * * [simplify]: Extracting #4: cost 13 inf + 84
62.580 * * [simplify]: Extracting #5: cost 10 inf + 169
62.580 * * [simplify]: Extracting #6: cost 3 inf + 786
62.581 * * [simplify]: Extracting #7: cost 0 inf + 1154
62.581 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
62.581 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.581 * * * * [progress]: [ 108 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.581 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
62.581 * * [simplify]: iters left: 6 (7 enodes)
62.584 * * [simplify]: iters left: 5 (29 enodes)
62.589 * * [simplify]: iters left: 4 (38 enodes)
62.595 * * [simplify]: Extracting #0: cost 1 inf + 0
62.595 * * [simplify]: Extracting #1: cost 4 inf + 0
62.595 * * [simplify]: Extracting #2: cost 5 inf + 1
62.595 * * [simplify]: Extracting #3: cost 9 inf + 1
62.595 * * [simplify]: Extracting #4: cost 13 inf + 2
62.595 * * [simplify]: Extracting #5: cost 12 inf + 4
62.595 * * [simplify]: Extracting #6: cost 2 inf + 666
62.595 * * [simplify]: Extracting #7: cost 0 inf + 992
62.595 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
62.596 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.596 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.596 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
62.596 * * [simplify]: iters left: 6 (8 enodes)
62.598 * * [simplify]: iters left: 5 (30 enodes)
62.606 * * [simplify]: iters left: 4 (37 enodes)
62.618 * * [simplify]: Extracting #0: cost 1 inf + 0
62.618 * * [simplify]: Extracting #1: cost 6 inf + 0
62.618 * * [simplify]: Extracting #2: cost 12 inf + 0
62.618 * * [simplify]: Extracting #3: cost 11 inf + 405
62.618 * * [simplify]: Extracting #4: cost 10 inf + 407
62.619 * * [simplify]: Extracting #5: cost 4 inf + 1220
62.619 * * [simplify]: Extracting #6: cost 0 inf + 1869
62.620 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
62.620 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.620 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.620 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
62.621 * * [simplify]: iters left: 6 (9 enodes)
62.626 * * [simplify]: iters left: 5 (33 enodes)
62.638 * * [simplify]: iters left: 4 (43 enodes)
62.651 * * [simplify]: iters left: 3 (45 enodes)
62.667 * * [simplify]: Extracting #0: cost 1 inf + 0
62.667 * * [simplify]: Extracting #1: cost 8 inf + 0
62.667 * * [simplify]: Extracting #2: cost 16 inf + 0
62.668 * * [simplify]: Extracting #3: cost 16 inf + 284
62.668 * * [simplify]: Extracting #4: cost 11 inf + 610
62.668 * * [simplify]: Extracting #5: cost 8 inf + 815
62.669 * * [simplify]: Extracting #6: cost 0 inf + 2517
62.669 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
62.669 * [simplify]: Simplified (2 1 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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.670 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.670 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
62.670 * * [simplify]: iters left: 6 (8 enodes)
62.675 * * [simplify]: iters left: 5 (30 enodes)
62.680 * * [simplify]: iters left: 4 (40 enodes)
62.686 * * [simplify]: iters left: 3 (42 enodes)
62.692 * * [simplify]: Extracting #0: cost 1 inf + 0
62.692 * * [simplify]: Extracting #1: cost 8 inf + 0
62.693 * * [simplify]: Extracting #2: cost 12 inf + 82
62.693 * * [simplify]: Extracting #3: cost 13 inf + 405
62.693 * * [simplify]: Extracting #4: cost 12 inf + 407
62.693 * * [simplify]: Extracting #5: cost 5 inf + 1383
62.693 * * [simplify]: Extracting #6: cost 0 inf + 2195
62.693 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
62.694 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.694 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.694 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
62.694 * * [simplify]: iters left: 6 (9 enodes)
62.697 * * [simplify]: iters left: 5 (33 enodes)
62.709 * * [simplify]: iters left: 4 (43 enodes)
62.723 * * [simplify]: iters left: 3 (45 enodes)
62.736 * * [simplify]: Extracting #0: cost 1 inf + 0
62.736 * * [simplify]: Extracting #1: cost 8 inf + 0
62.737 * * [simplify]: Extracting #2: cost 16 inf + 0
62.737 * * [simplify]: Extracting #3: cost 16 inf + 284
62.737 * * [simplify]: Extracting #4: cost 11 inf + 610
62.737 * * [simplify]: Extracting #5: cost 8 inf + 815
62.738 * * [simplify]: Extracting #6: cost 0 inf + 2517
62.739 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
62.739 * [simplify]: Simplified (2 1 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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.739 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.739 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
62.739 * * [simplify]: iters left: 6 (8 enodes)
62.744 * * [simplify]: iters left: 5 (30 enodes)
62.754 * * [simplify]: iters left: 4 (35 enodes)
62.765 * * [simplify]: Extracting #0: cost 1 inf + 0
62.765 * * [simplify]: Extracting #1: cost 6 inf + 0
62.765 * * [simplify]: Extracting #2: cost 8 inf + 42
62.765 * * [simplify]: Extracting #3: cost 11 inf + 83
62.765 * * [simplify]: Extracting #4: cost 10 inf + 85
62.766 * * [simplify]: Extracting #5: cost 4 inf + 658
62.766 * * [simplify]: Extracting #6: cost 0 inf + 1227
62.766 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
62.767 * [simplify]: Simplified (2 1 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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.767 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.767 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
62.767 * * [simplify]: iters left: 6 (8 enodes)
62.772 * * [simplify]: iters left: 5 (30 enodes)
62.783 * * [simplify]: iters left: 4 (40 enodes)
62.795 * * [simplify]: iters left: 3 (42 enodes)
62.809 * * [simplify]: Extracting #0: cost 1 inf + 0
62.809 * * [simplify]: Extracting #1: cost 8 inf + 0
62.809 * * [simplify]: Extracting #2: cost 12 inf + 42
62.809 * * [simplify]: Extracting #3: cost 13 inf + 245
62.809 * * [simplify]: Extracting #4: cost 12 inf + 247
62.810 * * [simplify]: Extracting #5: cost 5 inf + 1143
62.810 * * [simplify]: Extracting #6: cost 0 inf + 1875
62.811 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
62.811 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.811 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.812 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
62.812 * * [simplify]: iters left: 6 (8 enodes)
62.816 * * [simplify]: iters left: 5 (30 enodes)
62.826 * * [simplify]: iters left: 4 (40 enodes)
62.838 * * [simplify]: iters left: 3 (42 enodes)
62.850 * * [simplify]: Extracting #0: cost 1 inf + 0
62.850 * * [simplify]: Extracting #1: cost 8 inf + 0
62.850 * * [simplify]: Extracting #2: cost 11 inf + 203
62.850 * * [simplify]: Extracting #3: cost 13 inf + 405
62.851 * * [simplify]: Extracting #4: cost 12 inf + 407
62.851 * * [simplify]: Extracting #5: cost 3 inf + 1789
62.852 * * [simplify]: Extracting #6: cost 0 inf + 2195
62.852 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
62.852 * [simplify]: Simplified (2 1 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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.853 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.853 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
62.853 * * [simplify]: iters left: 6 (8 enodes)
62.857 * * [simplify]: iters left: 5 (30 enodes)
62.862 * * [simplify]: iters left: 4 (40 enodes)
62.868 * * [simplify]: iters left: 3 (42 enodes)
62.875 * * [simplify]: Extracting #0: cost 1 inf + 0
62.875 * * [simplify]: Extracting #1: cost 8 inf + 0
62.875 * * [simplify]: Extracting #2: cost 11 inf + 123
62.875 * * [simplify]: Extracting #3: cost 13 inf + 245
62.875 * * [simplify]: Extracting #4: cost 12 inf + 247
62.875 * * [simplify]: Extracting #5: cost 3 inf + 1509
62.875 * * [simplify]: Extracting #6: cost 0 inf + 1875
62.876 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
62.876 * [simplify]: Simplified (2 1 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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.876 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.876 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
62.876 * * [simplify]: iters left: 6 (7 enodes)
62.878 * * [simplify]: iters left: 5 (28 enodes)
62.883 * * [simplify]: iters left: 4 (35 enodes)
62.888 * * [simplify]: Extracting #0: cost 1 inf + 0
62.888 * * [simplify]: Extracting #1: cost 6 inf + 0
62.888 * * [simplify]: Extracting #2: cost 7 inf + 2
62.889 * * [simplify]: Extracting #3: cost 11 inf + 2
62.889 * * [simplify]: Extracting #4: cost 9 inf + 45
62.889 * * [simplify]: Extracting #5: cost 4 inf + 455
62.889 * * [simplify]: Extracting #6: cost 0 inf + 1066
62.889 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
62.889 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.889 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.889 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
62.889 * * [simplify]: iters left: 6 (8 enodes)
62.892 * * [simplify]: iters left: 5 (30 enodes)
62.902 * * [simplify]: iters left: 4 (37 enodes)
62.913 * * [simplify]: Extracting #0: cost 1 inf + 0
62.913 * * [simplify]: Extracting #1: cost 6 inf + 0
62.913 * * [simplify]: Extracting #2: cost 12 inf + 0
62.914 * * [simplify]: Extracting #3: cost 11 inf + 405
62.914 * * [simplify]: Extracting #4: cost 10 inf + 407
62.914 * * [simplify]: Extracting #5: cost 4 inf + 1100
62.915 * * [simplify]: Extracting #6: cost 0 inf + 1629
62.915 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
62.915 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.915 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.916 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
62.916 * * [simplify]: iters left: 6 (9 enodes)
62.921 * * [simplify]: iters left: 5 (33 enodes)
62.934 * * [simplify]: iters left: 4 (43 enodes)
62.948 * * [simplify]: iters left: 3 (45 enodes)
62.955 * * [simplify]: Extracting #0: cost 1 inf + 0
62.955 * * [simplify]: Extracting #1: cost 8 inf + 0
62.955 * * [simplify]: Extracting #2: cost 16 inf + 0
62.956 * * [simplify]: Extracting #3: cost 16 inf + 284
62.956 * * [simplify]: Extracting #4: cost 11 inf + 610
62.956 * * [simplify]: Extracting #5: cost 8 inf + 775
62.956 * * [simplify]: Extracting #6: cost 0 inf + 2197
62.956 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
62.956 * [simplify]: Simplified (2 1 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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.957 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.957 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
62.957 * * [simplify]: iters left: 6 (8 enodes)
62.959 * * [simplify]: iters left: 5 (30 enodes)
62.965 * * [simplify]: iters left: 4 (40 enodes)
62.971 * * [simplify]: iters left: 3 (42 enodes)
62.977 * * [simplify]: Extracting #0: cost 1 inf + 0
62.978 * * [simplify]: Extracting #1: cost 8 inf + 0
62.978 * * [simplify]: Extracting #2: cost 12 inf + 82
62.978 * * [simplify]: Extracting #3: cost 13 inf + 405
62.978 * * [simplify]: Extracting #4: cost 12 inf + 407
62.978 * * [simplify]: Extracting #5: cost 5 inf + 1223
62.978 * * [simplify]: Extracting #6: cost 0 inf + 1875
62.979 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
62.979 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
62.979 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
62.979 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
62.979 * * [simplify]: iters left: 6 (9 enodes)
62.982 * * [simplify]: iters left: 5 (33 enodes)
62.988 * * [simplify]: iters left: 4 (43 enodes)
63.001 * * [simplify]: iters left: 3 (45 enodes)
63.014 * * [simplify]: Extracting #0: cost 1 inf + 0
63.014 * * [simplify]: Extracting #1: cost 8 inf + 0
63.014 * * [simplify]: Extracting #2: cost 16 inf + 0
63.014 * * [simplify]: Extracting #3: cost 16 inf + 284
63.014 * * [simplify]: Extracting #4: cost 11 inf + 610
63.015 * * [simplify]: Extracting #5: cost 8 inf + 775
63.015 * * [simplify]: Extracting #6: cost 0 inf + 2197
63.016 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
63.016 * [simplify]: Simplified (2 1 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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.016 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.017 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
63.017 * * [simplify]: iters left: 6 (8 enodes)
63.021 * * [simplify]: iters left: 5 (30 enodes)
63.032 * * [simplify]: iters left: 4 (35 enodes)
63.043 * * [simplify]: Extracting #0: cost 1 inf + 0
63.043 * * [simplify]: Extracting #1: cost 6 inf + 0
63.043 * * [simplify]: Extracting #2: cost 8 inf + 42
63.043 * * [simplify]: Extracting #3: cost 11 inf + 83
63.043 * * [simplify]: Extracting #4: cost 10 inf + 85
63.043 * * [simplify]: Extracting #5: cost 4 inf + 538
63.044 * * [simplify]: Extracting #6: cost 0 inf + 987
63.044 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
63.044 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.044 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.045 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
63.045 * * [simplify]: iters left: 6 (8 enodes)
63.052 * * [simplify]: iters left: 5 (30 enodes)
63.063 * * [simplify]: iters left: 4 (40 enodes)
63.075 * * [simplify]: iters left: 3 (42 enodes)
63.087 * * [simplify]: Extracting #0: cost 1 inf + 0
63.087 * * [simplify]: Extracting #1: cost 8 inf + 0
63.087 * * [simplify]: Extracting #2: cost 12 inf + 42
63.087 * * [simplify]: Extracting #3: cost 13 inf + 245
63.087 * * [simplify]: Extracting #4: cost 12 inf + 247
63.087 * * [simplify]: Extracting #5: cost 5 inf + 983
63.088 * * [simplify]: Extracting #6: cost 0 inf + 1555
63.089 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
63.089 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.089 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.089 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
63.089 * * [simplify]: iters left: 6 (8 enodes)
63.094 * * [simplify]: iters left: 5 (30 enodes)
63.104 * * [simplify]: iters left: 4 (40 enodes)
63.112 * * [simplify]: iters left: 3 (42 enodes)
63.118 * * [simplify]: Extracting #0: cost 1 inf + 0
63.118 * * [simplify]: Extracting #1: cost 8 inf + 0
63.118 * * [simplify]: Extracting #2: cost 11 inf + 203
63.118 * * [simplify]: Extracting #3: cost 13 inf + 405
63.119 * * [simplify]: Extracting #4: cost 12 inf + 407
63.119 * * [simplify]: Extracting #5: cost 3 inf + 1549
63.119 * * [simplify]: Extracting #6: cost 0 inf + 1875
63.119 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
63.119 * [simplify]: Simplified (2 1 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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.119 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.120 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
63.120 * * [simplify]: iters left: 6 (8 enodes)
63.122 * * [simplify]: iters left: 5 (30 enodes)
63.127 * * [simplify]: iters left: 4 (40 enodes)
63.134 * * [simplify]: iters left: 3 (42 enodes)
63.140 * * [simplify]: Extracting #0: cost 1 inf + 0
63.140 * * [simplify]: Extracting #1: cost 8 inf + 0
63.140 * * [simplify]: Extracting #2: cost 11 inf + 123
63.140 * * [simplify]: Extracting #3: cost 13 inf + 245
63.140 * * [simplify]: Extracting #4: cost 12 inf + 247
63.141 * * [simplify]: Extracting #5: cost 3 inf + 1269
63.141 * * [simplify]: Extracting #6: cost 0 inf + 1555
63.141 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
63.141 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.141 * * * * [progress]: [ 126 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.142 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
63.142 * * [simplify]: iters left: 6 (7 enodes)
63.144 * * [simplify]: iters left: 5 (28 enodes)
63.149 * * [simplify]: iters left: 4 (35 enodes)
63.155 * * [simplify]: Extracting #0: cost 1 inf + 0
63.155 * * [simplify]: Extracting #1: cost 6 inf + 0
63.155 * * [simplify]: Extracting #2: cost 7 inf + 2
63.155 * * [simplify]: Extracting #3: cost 11 inf + 2
63.155 * * [simplify]: Extracting #4: cost 9 inf + 45
63.155 * * [simplify]: Extracting #5: cost 4 inf + 375
63.155 * * [simplify]: Extracting #6: cost 0 inf + 826
63.156 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
63.156 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.156 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.156 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
63.156 * * [simplify]: iters left: 6 (7 enodes)
63.158 * * [simplify]: iters left: 5 (30 enodes)
63.166 * * [simplify]: iters left: 4 (49 enodes)
63.174 * * [simplify]: iters left: 3 (59 enodes)
63.183 * * [simplify]: iters left: 2 (64 enodes)
63.192 * * [simplify]: Extracting #0: cost 1 inf + 0
63.192 * * [simplify]: Extracting #1: cost 9 inf + 0
63.192 * * [simplify]: Extracting #2: cost 23 inf + 0
63.192 * * [simplify]: Extracting #3: cost 24 inf + 3
63.192 * * [simplify]: Extracting #4: cost 15 inf + 980
63.193 * * [simplify]: Extracting #5: cost 1 inf + 3007
63.193 * * [simplify]: Extracting #6: cost 0 inf + 3169
63.194 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
63.194 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.194 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.194 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
63.194 * * [simplify]: iters left: 6 (8 enodes)
63.197 * * [simplify]: iters left: 5 (33 enodes)
63.203 * * [simplify]: iters left: 4 (55 enodes)
63.212 * * [simplify]: iters left: 3 (72 enodes)
63.223 * * [simplify]: iters left: 2 (84 enodes)
63.235 * * [simplify]: iters left: 1 (88 enodes)
63.256 * * [simplify]: Extracting #0: cost 1 inf + 0
63.256 * * [simplify]: Extracting #1: cost 11 inf + 0
63.256 * * [simplify]: Extracting #2: cost 30 inf + 0
63.256 * * [simplify]: Extracting #3: cost 33 inf + 84
63.257 * * [simplify]: Extracting #4: cost 12 inf + 2402
63.258 * * [simplify]: Extracting #5: cost 0 inf + 4469
63.260 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
63.260 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.260 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.261 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
63.261 * * [simplify]: iters left: 6 (7 enodes)
63.265 * * [simplify]: iters left: 5 (30 enodes)
63.276 * * [simplify]: iters left: 4 (52 enodes)
63.294 * * [simplify]: iters left: 3 (70 enodes)
63.314 * * [simplify]: iters left: 2 (81 enodes)
63.335 * * [simplify]: iters left: 1 (84 enodes)
63.357 * * [simplify]: Extracting #0: cost 1 inf + 0
63.357 * * [simplify]: Extracting #1: cost 11 inf + 0
63.357 * * [simplify]: Extracting #2: cost 25 inf + 203
63.357 * * [simplify]: Extracting #3: cost 25 inf + 530
63.358 * * [simplify]: Extracting #4: cost 4 inf + 2936
63.359 * * [simplify]: Extracting #5: cost 0 inf + 3504
63.360 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
63.360 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.361 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.361 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
63.361 * * [simplify]: iters left: 6 (8 enodes)
63.364 * * [simplify]: iters left: 5 (33 enodes)
63.370 * * [simplify]: iters left: 4 (55 enodes)
63.382 * * [simplify]: iters left: 3 (72 enodes)
63.394 * * [simplify]: iters left: 2 (84 enodes)
63.405 * * [simplify]: iters left: 1 (88 enodes)
63.418 * * [simplify]: Extracting #0: cost 1 inf + 0
63.418 * * [simplify]: Extracting #1: cost 11 inf + 0
63.418 * * [simplify]: Extracting #2: cost 30 inf + 0
63.418 * * [simplify]: Extracting #3: cost 33 inf + 44
63.419 * * [simplify]: Extracting #4: cost 12 inf + 2362
63.420 * * [simplify]: Extracting #5: cost 0 inf + 4469
63.421 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
63.421 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.421 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.421 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
63.421 * * [simplify]: iters left: 6 (7 enodes)
63.424 * * [simplify]: iters left: 5 (30 enodes)
63.429 * * [simplify]: iters left: 4 (48 enodes)
63.437 * * [simplify]: iters left: 3 (56 enodes)
63.445 * * [simplify]: Extracting #0: cost 1 inf + 0
63.445 * * [simplify]: Extracting #1: cost 8 inf + 0
63.445 * * [simplify]: Extracting #2: cost 15 inf + 43
63.446 * * [simplify]: Extracting #3: cost 16 inf + 86
63.446 * * [simplify]: Extracting #4: cost 5 inf + 911
63.446 * * [simplify]: Extracting #5: cost 1 inf + 1198
63.447 * * [simplify]: Extracting #6: cost 0 inf + 1320
63.448 * [simplify]: Simplified to (/ (- 1 k) 2)
63.448 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.448 * * * * [progress]: [ 132 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.448 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
63.448 * * [simplify]: iters left: 6 (7 enodes)
63.453 * * [simplify]: iters left: 5 (30 enodes)
63.464 * * [simplify]: iters left: 4 (52 enodes)
63.485 * * [simplify]: iters left: 3 (70 enodes)
63.497 * * [simplify]: iters left: 2 (81 enodes)
63.508 * * [simplify]: iters left: 1 (84 enodes)
63.520 * * [simplify]: Extracting #0: cost 1 inf + 0
63.520 * * [simplify]: Extracting #1: cost 11 inf + 0
63.520 * * [simplify]: Extracting #2: cost 25 inf + 123
63.520 * * [simplify]: Extracting #3: cost 25 inf + 330
63.521 * * [simplify]: Extracting #4: cost 4 inf + 2256
63.522 * * [simplify]: Extracting #5: cost 0 inf + 2704
63.523 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
63.524 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.524 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.524 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
63.524 * * [simplify]: iters left: 6 (7 enodes)
63.529 * * [simplify]: iters left: 5 (31 enodes)
63.540 * * [simplify]: iters left: 4 (51 enodes)
63.556 * * [simplify]: iters left: 3 (64 enodes)
63.575 * * [simplify]: iters left: 2 (77 enodes)
63.597 * * [simplify]: iters left: 1 (84 enodes)
63.621 * * [simplify]: Extracting #0: cost 1 inf + 0
63.621 * * [simplify]: Extracting #1: cost 11 inf + 0
63.622 * * [simplify]: Extracting #2: cost 26 inf + 82
63.622 * * [simplify]: Extracting #3: cost 24 inf + 692
63.623 * * [simplify]: Extracting #4: cost 3 inf + 3057
63.624 * * [simplify]: Extracting #5: cost 0 inf + 3504
63.625 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
63.625 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.625 * * * * [progress]: [ 134 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.626 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
63.626 * * [simplify]: iters left: 6 (7 enodes)
63.630 * * [simplify]: iters left: 5 (31 enodes)
63.635 * * [simplify]: iters left: 4 (51 enodes)
63.644 * * [simplify]: iters left: 3 (64 enodes)
63.653 * * [simplify]: iters left: 2 (77 enodes)
63.664 * * [simplify]: iters left: 1 (84 enodes)
63.676 * * [simplify]: Extracting #0: cost 1 inf + 0
63.676 * * [simplify]: Extracting #1: cost 11 inf + 0
63.676 * * [simplify]: Extracting #2: cost 26 inf + 42
63.676 * * [simplify]: Extracting #3: cost 24 inf + 452
63.676 * * [simplify]: Extracting #4: cost 3 inf + 2337
63.677 * * [simplify]: Extracting #5: cost 0 inf + 2704
63.678 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
63.678 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.678 * * * * [progress]: [ 135 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.678 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
63.678 * * [simplify]: iters left: 6 (6 enodes)
63.681 * * [simplify]: iters left: 5 (29 enodes)
63.687 * * [simplify]: iters left: 4 (44 enodes)
63.701 * * [simplify]: iters left: 3 (50 enodes)
63.708 * * [simplify]: iters left: 2 (57 enodes)
63.716 * * [simplify]: Extracting #0: cost 1 inf + 0
63.717 * * [simplify]: Extracting #1: cost 9 inf + 0
63.717 * * [simplify]: Extracting #2: cost 15 inf + 3
63.717 * * [simplify]: Extracting #3: cost 11 inf + 131
63.717 * * [simplify]: Extracting #4: cost 2 inf + 711
63.717 * * [simplify]: Extracting #5: cost 0 inf + 836
63.717 * [simplify]: Simplified to (- 1/4 (/ k 4))
63.717 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.718 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.718 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
63.718 * * [simplify]: iters left: 6 (9 enodes)
63.721 * * [simplify]: iters left: 5 (36 enodes)
63.729 * * [simplify]: iters left: 4 (58 enodes)
63.746 * * [simplify]: iters left: 3 (71 enodes)
63.765 * * [simplify]: iters left: 2 (79 enodes)
63.786 * * [simplify]: iters left: 1 (80 enodes)
63.805 * * [simplify]: Extracting #0: cost 1 inf + 0
63.805 * * [simplify]: Extracting #1: cost 9 inf + 0
63.805 * * [simplify]: Extracting #2: cost 24 inf + 0
63.805 * * [simplify]: Extracting #3: cost 29 inf + 2
63.806 * * [simplify]: Extracting #4: cost 10 inf + 2233
63.807 * * [simplify]: Extracting #5: cost 1 inf + 4013
63.808 * * [simplify]: Extracting #6: cost 0 inf + 4135
63.810 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
63.810 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.810 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.811 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
63.811 * * [simplify]: iters left: 6 (10 enodes)
63.817 * * [simplify]: iters left: 5 (39 enodes)
63.832 * * [simplify]: iters left: 4 (64 enodes)
63.851 * * [simplify]: iters left: 3 (86 enodes)
63.875 * * [simplify]: iters left: 2 (99 enodes)
63.901 * * [simplify]: iters left: 1 (104 enodes)
63.927 * * [simplify]: Extracting #0: cost 1 inf + 0
63.927 * * [simplify]: Extracting #1: cost 11 inf + 0
63.927 * * [simplify]: Extracting #2: cost 31 inf + 0
63.927 * * [simplify]: Extracting #3: cost 39 inf + 2
63.928 * * [simplify]: Extracting #4: cost 22 inf + 1871
63.929 * * [simplify]: Extracting #5: cost 4 inf + 4865
63.931 * * [simplify]: Extracting #6: cost 0 inf + 5675
63.933 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
63.933 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
63.933 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
63.934 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
63.934 * * [simplify]: iters left: 6 (9 enodes)
63.940 * * [simplify]: iters left: 5 (36 enodes)
63.952 * * [simplify]: iters left: 4 (61 enodes)
63.970 * * [simplify]: iters left: 3 (84 enodes)
63.997 * * [simplify]: iters left: 2 (96 enodes)
64.021 * * [simplify]: iters left: 1 (100 enodes)
64.046 * * [simplify]: Extracting #0: cost 1 inf + 0
64.046 * * [simplify]: Extracting #1: cost 11 inf + 0
64.046 * * [simplify]: Extracting #2: cost 27 inf + 82
64.046 * * [simplify]: Extracting #3: cost 29 inf + 651
64.047 * * [simplify]: Extracting #4: cost 12 inf + 2763
64.049 * * [simplify]: Extracting #5: cost 1 inf + 4587
64.050 * * [simplify]: Extracting #6: cost 0 inf + 4710
64.052 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
64.052 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
64.052 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
64.052 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
64.053 * * [simplify]: iters left: 6 (10 enodes)
64.059 * * [simplify]: iters left: 5 (39 enodes)
64.072 * * [simplify]: iters left: 4 (64 enodes)
64.091 * * [simplify]: iters left: 3 (86 enodes)
64.116 * * [simplify]: iters left: 2 (99 enodes)
64.144 * * [simplify]: iters left: 1 (104 enodes)
64.164 * * [simplify]: Extracting #0: cost 1 inf + 0
64.164 * * [simplify]: Extracting #1: cost 11 inf + 0
64.164 * * [simplify]: Extracting #2: cost 31 inf + 0
64.164 * * [simplify]: Extracting #3: cost 39 inf + 2
64.164 * * [simplify]: Extracting #4: cost 22 inf + 1831
64.165 * * [simplify]: Extracting #5: cost 4 inf + 4785
64.166 * * [simplify]: Extracting #6: cost 0 inf + 5595
64.167 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
64.167 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
64.167 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
64.167 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
64.167 * * [simplify]: iters left: 6 (9 enodes)
64.171 * * [simplify]: iters left: 5 (36 enodes)
64.177 * * [simplify]: iters left: 4 (57 enodes)
64.187 * * [simplify]: iters left: 3 (73 enodes)
64.205 * * [simplify]: iters left: 2 (80 enodes)
64.225 * * [simplify]: iters left: 1 (81 enodes)
64.244 * * [simplify]: Extracting #0: cost 1 inf + 0
64.244 * * [simplify]: Extracting #1: cost 9 inf + 0
64.244 * * [simplify]: Extracting #2: cost 18 inf + 43
64.244 * * [simplify]: Extracting #3: cost 23 inf + 85
64.245 * * [simplify]: Extracting #4: cost 9 inf + 1271
64.246 * * [simplify]: Extracting #5: cost 0 inf + 2370
64.247 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
64.247 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
64.247 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
64.247 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
64.248 * * [simplify]: iters left: 6 (9 enodes)
64.253 * * [simplify]: iters left: 5 (36 enodes)
64.268 * * [simplify]: iters left: 4 (61 enodes)
64.286 * * [simplify]: iters left: 3 (84 enodes)
64.305 * * [simplify]: iters left: 2 (96 enodes)
64.317 * * [simplify]: iters left: 1 (100 enodes)
64.329 * * [simplify]: Extracting #0: cost 1 inf + 0
64.329 * * [simplify]: Extracting #1: cost 11 inf + 0
64.329 * * [simplify]: Extracting #2: cost 27 inf + 42
64.329 * * [simplify]: Extracting #3: cost 29 inf + 411
64.330 * * [simplify]: Extracting #4: cost 12 inf + 2163
64.331 * * [simplify]: Extracting #5: cost 1 inf + 3707
64.331 * * [simplify]: Extracting #6: cost 0 inf + 3830
64.332 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
64.333 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
64.333 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
64.333 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
64.333 * * [simplify]: iters left: 6 (9 enodes)
64.339 * * [simplify]: iters left: 5 (36 enodes)
64.348 * * [simplify]: iters left: 4 (62 enodes)
64.357 * * [simplify]: iters left: 3 (78 enodes)
64.370 * * [simplify]: iters left: 2 (90 enodes)
64.384 * * [simplify]: iters left: 1 (94 enodes)
64.407 * * [simplify]: Extracting #0: cost 1 inf + 0
64.407 * * [simplify]: Extracting #1: cost 11 inf + 0
64.407 * * [simplify]: Extracting #2: cost 27 inf + 1
64.408 * * [simplify]: Extracting #3: cost 29 inf + 409
64.408 * * [simplify]: Extracting #4: cost 12 inf + 2359
64.409 * * [simplify]: Extracting #5: cost 2 inf + 4022
64.411 * * [simplify]: Extracting #6: cost 0 inf + 4466
64.412 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
64.412 * [simplify]: Simplified (2 1 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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
64.412 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
64.412 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
64.413 * * [simplify]: iters left: 6 (9 enodes)
64.416 * * [simplify]: iters left: 5 (36 enodes)
64.423 * * [simplify]: iters left: 4 (62 enodes)
64.432 * * [simplify]: iters left: 3 (78 enodes)
64.444 * * [simplify]: iters left: 2 (90 enodes)
64.469 * * [simplify]: iters left: 1 (94 enodes)
64.493 * * [simplify]: Extracting #0: cost 1 inf + 0
64.493 * * [simplify]: Extracting #1: cost 11 inf + 0
64.493 * * [simplify]: Extracting #2: cost 27 inf + 1
64.493 * * [simplify]: Extracting #3: cost 29 inf + 249
64.494 * * [simplify]: Extracting #4: cost 12 inf + 1879
64.495 * * [simplify]: Extracting #5: cost 2 inf + 3302
64.496 * * [simplify]: Extracting #6: cost 0 inf + 3666
64.498 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
64.498 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
64.498 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
64.498 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
64.499 * * [simplify]: iters left: 6 (8 enodes)
64.502 * * [simplify]: iters left: 5 (34 enodes)
64.509 * * [simplify]: iters left: 4 (58 enodes)
64.517 * * [simplify]: iters left: 3 (65 enodes)
64.526 * * [simplify]: Extracting #0: cost 1 inf + 0
64.526 * * [simplify]: Extracting #1: cost 8 inf + 0
64.526 * * [simplify]: Extracting #2: cost 14 inf + 3
64.526 * * [simplify]: Extracting #3: cost 17 inf + 5
64.526 * * [simplify]: Extracting #4: cost 12 inf + 292
64.526 * * [simplify]: Extracting #5: cost 1 inf + 1355
64.527 * * [simplify]: Extracting #6: cost 0 inf + 1478
64.527 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
64.527 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
64.527 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
64.528 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
64.528 * * [simplify]: iters left: 6 (8 enodes)
64.530 * * [simplify]: iters left: 5 (33 enodes)
64.540 * * [simplify]: iters left: 4 (52 enodes)
64.555 * * [simplify]: iters left: 3 (62 enodes)
64.573 * * [simplify]: iters left: 2 (67 enodes)
64.594 * * [simplify]: Extracting #0: cost 1 inf + 0
64.594 * * [simplify]: Extracting #1: cost 9 inf + 0
64.594 * * [simplify]: Extracting #2: cost 23 inf + 0
64.595 * * [simplify]: Extracting #3: cost 24 inf + 285
64.595 * * [simplify]: Extracting #4: cost 18 inf + 975
64.596 * * [simplify]: Extracting #5: cost 7 inf + 2516
64.597 * * [simplify]: Extracting #6: cost 0 inf + 3891
64.598 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
64.598 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
64.598 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
64.599 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
64.599 * * [simplify]: iters left: 6 (9 enodes)
64.604 * * [simplify]: iters left: 5 (36 enodes)
64.617 * * [simplify]: iters left: 4 (58 enodes)
64.635 * * [simplify]: iters left: 3 (75 enodes)
64.648 * * [simplify]: iters left: 2 (87 enodes)
64.660 * * [simplify]: iters left: 1 (91 enodes)
64.672 * * [simplify]: Extracting #0: cost 1 inf + 0
64.672 * * [simplify]: Extracting #1: cost 11 inf + 0
64.672 * * [simplify]: Extracting #2: cost 30 inf + 0
64.672 * * [simplify]: Extracting #3: cost 36 inf + 83
64.673 * * [simplify]: Extracting #4: cost 30 inf + 451
64.673 * * [simplify]: Extracting #5: cost 10 inf + 3649
64.674 * * [simplify]: Extracting #6: cost 0 inf + 5431
64.675 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
64.675 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
64.675 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
64.675 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
64.675 * * [simplify]: iters left: 6 (8 enodes)
64.678 * * [simplify]: iters left: 5 (33 enodes)
64.684 * * [simplify]: iters left: 4 (55 enodes)
64.694 * * [simplify]: iters left: 3 (73 enodes)
64.705 * * [simplify]: iters left: 2 (84 enodes)
64.716 * * [simplify]: iters left: 1 (87 enodes)
64.734 * * [simplify]: Extracting #0: cost 1 inf + 0
64.734 * * [simplify]: Extracting #1: cost 11 inf + 0
64.734 * * [simplify]: Extracting #2: cost 25 inf + 203
64.735 * * [simplify]: Extracting #3: cost 29 inf + 407
64.735 * * [simplify]: Extracting #4: cost 24 inf + 896
64.736 * * [simplify]: Extracting #5: cost 9 inf + 2805
64.737 * * [simplify]: Extracting #6: cost 0 inf + 4466
64.739 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
64.739 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
64.739 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
64.739 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
64.740 * * [simplify]: iters left: 6 (9 enodes)
64.745 * * [simplify]: iters left: 5 (36 enodes)
64.757 * * [simplify]: iters left: 4 (58 enodes)
64.775 * * [simplify]: iters left: 3 (75 enodes)
64.795 * * [simplify]: iters left: 2 (87 enodes)
64.809 * * [simplify]: iters left: 1 (91 enodes)
64.821 * * [simplify]: Extracting #0: cost 1 inf + 0
64.821 * * [simplify]: Extracting #1: cost 11 inf + 0
64.821 * * [simplify]: Extracting #2: cost 30 inf + 0
64.821 * * [simplify]: Extracting #3: cost 36 inf + 43
64.821 * * [simplify]: Extracting #4: cost 30 inf + 451
64.822 * * [simplify]: Extracting #5: cost 10 inf + 3769
64.822 * * [simplify]: Extracting #6: cost 0 inf + 5431
64.823 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
64.823 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
64.824 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
64.824 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
64.824 * * [simplify]: iters left: 6 (8 enodes)
64.829 * * [simplify]: iters left: 5 (33 enodes)
64.840 * * [simplify]: iters left: 4 (51 enodes)
64.856 * * [simplify]: iters left: 3 (59 enodes)
64.872 * * [simplify]: Extracting #0: cost 1 inf + 0
64.872 * * [simplify]: Extracting #1: cost 8 inf + 0
64.872 * * [simplify]: Extracting #2: cost 15 inf + 43
64.873 * * [simplify]: Extracting #3: cost 19 inf + 85
64.873 * * [simplify]: Extracting #4: cost 16 inf + 250
64.873 * * [simplify]: Extracting #5: cost 5 inf + 1311
64.874 * * [simplify]: Extracting #6: cost 0 inf + 1962
64.875 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
64.875 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
64.875 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
64.875 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
64.876 * * [simplify]: iters left: 6 (8 enodes)
64.881 * * [simplify]: iters left: 5 (33 enodes)
64.892 * * [simplify]: iters left: 4 (55 enodes)
64.903 * * [simplify]: iters left: 3 (73 enodes)
64.914 * * [simplify]: iters left: 2 (84 enodes)
64.927 * * [simplify]: iters left: 1 (87 enodes)
64.939 * * [simplify]: Extracting #0: cost 1 inf + 0
64.939 * * [simplify]: Extracting #1: cost 11 inf + 0
64.939 * * [simplify]: Extracting #2: cost 25 inf + 123
64.939 * * [simplify]: Extracting #3: cost 29 inf + 247
64.939 * * [simplify]: Extracting #4: cost 24 inf + 576
64.940 * * [simplify]: Extracting #5: cost 9 inf + 2245
64.940 * * [simplify]: Extracting #6: cost 0 inf + 3666
64.941 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
64.941 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
64.941 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
64.942 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
64.942 * * [simplify]: iters left: 6 (8 enodes)
64.945 * * [simplify]: iters left: 5 (34 enodes)
64.957 * * [simplify]: iters left: 4 (54 enodes)
64.974 * * [simplify]: iters left: 3 (67 enodes)
64.994 * * [simplify]: iters left: 2 (80 enodes)
65.017 * * [simplify]: iters left: 1 (87 enodes)
65.032 * * [simplify]: Extracting #0: cost 1 inf + 0
65.032 * * [simplify]: Extracting #1: cost 11 inf + 0
65.032 * * [simplify]: Extracting #2: cost 25 inf + 203
65.032 * * [simplify]: Extracting #3: cost 26 inf + 773
65.033 * * [simplify]: Extracting #4: cost 24 inf + 896
65.033 * * [simplify]: Extracting #5: cost 8 inf + 3127
65.034 * * [simplify]: Extracting #6: cost 0 inf + 4466
65.034 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
65.034 * [simplify]: Simplified (2 1 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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.035 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
65.035 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
65.035 * * [simplify]: iters left: 6 (8 enodes)
65.040 * * [simplify]: iters left: 5 (34 enodes)
65.046 * * [simplify]: iters left: 4 (54 enodes)
65.055 * * [simplify]: iters left: 3 (67 enodes)
65.074 * * [simplify]: iters left: 2 (80 enodes)
65.094 * * [simplify]: iters left: 1 (87 enodes)
65.106 * * [simplify]: Extracting #0: cost 1 inf + 0
65.106 * * [simplify]: Extracting #1: cost 11 inf + 0
65.106 * * [simplify]: Extracting #2: cost 25 inf + 123
65.106 * * [simplify]: Extracting #3: cost 26 inf + 493
65.106 * * [simplify]: Extracting #4: cost 24 inf + 576
65.106 * * [simplify]: Extracting #5: cost 8 inf + 2527
65.107 * * [simplify]: Extracting #6: cost 0 inf + 3666
65.108 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
65.108 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.108 * * * * [progress]: [ 153 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
65.108 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
65.108 * * [simplify]: iters left: 6 (7 enodes)
65.111 * * [simplify]: iters left: 5 (32 enodes)
65.123 * * [simplify]: iters left: 4 (50 enodes)
65.137 * * [simplify]: iters left: 3 (54 enodes)
65.152 * * [simplify]: Extracting #0: cost 1 inf + 0
65.152 * * [simplify]: Extracting #1: cost 8 inf + 0
65.152 * * [simplify]: Extracting #2: cost 13 inf + 3
65.152 * * [simplify]: Extracting #3: cost 15 inf + 5
65.152 * * [simplify]: Extracting #4: cost 14 inf + 6
65.152 * * [simplify]: Extracting #5: cost 4 inf + 825
65.153 * * [simplify]: Extracting #6: cost 0 inf + 1234
65.153 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
65.154 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.154 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
65.154 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
65.154 * * [simplify]: iters left: 6 (7 enodes)
65.161 * * [simplify]: iters left: 5 (30 enodes)
65.171 * * [simplify]: iters left: 4 (49 enodes)
65.188 * * [simplify]: iters left: 3 (59 enodes)
65.204 * * [simplify]: iters left: 2 (64 enodes)
65.221 * * [simplify]: Extracting #0: cost 1 inf + 0
65.221 * * [simplify]: Extracting #1: cost 9 inf + 0
65.221 * * [simplify]: Extracting #2: cost 23 inf + 0
65.221 * * [simplify]: Extracting #3: cost 24 inf + 3
65.221 * * [simplify]: Extracting #4: cost 15 inf + 980
65.222 * * [simplify]: Extracting #5: cost 1 inf + 3007
65.223 * * [simplify]: Extracting #6: cost 0 inf + 3169
65.224 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
65.224 * [simplify]: Simplified (2 1 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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.225 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
65.225 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
65.225 * * [simplify]: iters left: 6 (8 enodes)
65.230 * * [simplify]: iters left: 5 (33 enodes)
65.242 * * [simplify]: iters left: 4 (55 enodes)
65.259 * * [simplify]: iters left: 3 (72 enodes)
65.280 * * [simplify]: iters left: 2 (84 enodes)
65.304 * * [simplify]: iters left: 1 (88 enodes)
65.330 * * [simplify]: Extracting #0: cost 1 inf + 0
65.330 * * [simplify]: Extracting #1: cost 11 inf + 0
65.331 * * [simplify]: Extracting #2: cost 30 inf + 0
65.331 * * [simplify]: Extracting #3: cost 33 inf + 84
65.331 * * [simplify]: Extracting #4: cost 12 inf + 2402
65.333 * * [simplify]: Extracting #5: cost 0 inf + 4469
65.334 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
65.334 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.334 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
65.335 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
65.335 * * [simplify]: iters left: 6 (7 enodes)
65.340 * * [simplify]: iters left: 5 (30 enodes)
65.350 * * [simplify]: iters left: 4 (52 enodes)
65.367 * * [simplify]: iters left: 3 (70 enodes)
65.388 * * [simplify]: iters left: 2 (81 enodes)
65.411 * * [simplify]: iters left: 1 (84 enodes)
65.433 * * [simplify]: Extracting #0: cost 1 inf + 0
65.433 * * [simplify]: Extracting #1: cost 11 inf + 0
65.433 * * [simplify]: Extracting #2: cost 25 inf + 203
65.433 * * [simplify]: Extracting #3: cost 25 inf + 530
65.434 * * [simplify]: Extracting #4: cost 4 inf + 2936
65.435 * * [simplify]: Extracting #5: cost 0 inf + 3504
65.437 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
65.437 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.437 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
65.437 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
65.437 * * [simplify]: iters left: 6 (8 enodes)
65.443 * * [simplify]: iters left: 5 (33 enodes)
65.455 * * [simplify]: iters left: 4 (55 enodes)
65.475 * * [simplify]: iters left: 3 (72 enodes)
65.496 * * [simplify]: iters left: 2 (84 enodes)
65.519 * * [simplify]: iters left: 1 (88 enodes)
65.542 * * [simplify]: Extracting #0: cost 1 inf + 0
65.542 * * [simplify]: Extracting #1: cost 11 inf + 0
65.542 * * [simplify]: Extracting #2: cost 30 inf + 0
65.543 * * [simplify]: Extracting #3: cost 33 inf + 44
65.543 * * [simplify]: Extracting #4: cost 12 inf + 2362
65.545 * * [simplify]: Extracting #5: cost 0 inf + 4469
65.546 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
65.546 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.546 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
65.547 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
65.547 * * [simplify]: iters left: 6 (7 enodes)
65.551 * * [simplify]: iters left: 5 (30 enodes)
65.562 * * [simplify]: iters left: 4 (48 enodes)
65.574 * * [simplify]: iters left: 3 (56 enodes)
65.582 * * [simplify]: Extracting #0: cost 1 inf + 0
65.582 * * [simplify]: Extracting #1: cost 8 inf + 0
65.582 * * [simplify]: Extracting #2: cost 15 inf + 43
65.582 * * [simplify]: Extracting #3: cost 16 inf + 86
65.583 * * [simplify]: Extracting #4: cost 5 inf + 911
65.583 * * [simplify]: Extracting #5: cost 1 inf + 1198
65.583 * * [simplify]: Extracting #6: cost 0 inf + 1320
65.583 * [simplify]: Simplified to (/ (- 1 k) 2)
65.583 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.584 * * * * [progress]: [ 159 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
65.584 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
65.584 * * [simplify]: iters left: 6 (7 enodes)
65.586 * * [simplify]: iters left: 5 (30 enodes)
65.592 * * [simplify]: iters left: 4 (52 enodes)
65.603 * * [simplify]: iters left: 3 (70 enodes)
65.622 * * [simplify]: iters left: 2 (81 enodes)
65.645 * * [simplify]: iters left: 1 (84 enodes)
65.666 * * [simplify]: Extracting #0: cost 1 inf + 0
65.666 * * [simplify]: Extracting #1: cost 11 inf + 0
65.666 * * [simplify]: Extracting #2: cost 25 inf + 123
65.666 * * [simplify]: Extracting #3: cost 25 inf + 330
65.667 * * [simplify]: Extracting #4: cost 4 inf + 2256
65.668 * * [simplify]: Extracting #5: cost 0 inf + 2704
65.669 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
65.670 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.670 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
65.670 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
65.670 * * [simplify]: iters left: 6 (7 enodes)
65.675 * * [simplify]: iters left: 5 (31 enodes)
65.686 * * [simplify]: iters left: 4 (51 enodes)
65.702 * * [simplify]: iters left: 3 (64 enodes)
65.722 * * [simplify]: iters left: 2 (77 enodes)
65.745 * * [simplify]: iters left: 1 (84 enodes)
65.767 * * [simplify]: Extracting #0: cost 1 inf + 0
65.767 * * [simplify]: Extracting #1: cost 11 inf + 0
65.767 * * [simplify]: Extracting #2: cost 26 inf + 82
65.768 * * [simplify]: Extracting #3: cost 24 inf + 692
65.768 * * [simplify]: Extracting #4: cost 3 inf + 3057
65.770 * * [simplify]: Extracting #5: cost 0 inf + 3504
65.771 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
65.771 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.771 * * * * [progress]: [ 161 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
65.772 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
65.772 * * [simplify]: iters left: 6 (7 enodes)
65.777 * * [simplify]: iters left: 5 (31 enodes)
65.787 * * [simplify]: iters left: 4 (51 enodes)
65.795 * * [simplify]: iters left: 3 (64 enodes)
65.804 * * [simplify]: iters left: 2 (77 enodes)
65.817 * * [simplify]: iters left: 1 (84 enodes)
65.838 * * [simplify]: Extracting #0: cost 1 inf + 0
65.838 * * [simplify]: Extracting #1: cost 11 inf + 0
65.839 * * [simplify]: Extracting #2: cost 26 inf + 42
65.839 * * [simplify]: Extracting #3: cost 24 inf + 452
65.840 * * [simplify]: Extracting #4: cost 3 inf + 2337
65.841 * * [simplify]: Extracting #5: cost 0 inf + 2704
65.842 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
65.842 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.842 * * * * [progress]: [ 162 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
65.843 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
65.843 * * [simplify]: iters left: 6 (6 enodes)
65.848 * * [simplify]: iters left: 5 (29 enodes)
65.857 * * [simplify]: iters left: 4 (44 enodes)
65.871 * * [simplify]: iters left: 3 (50 enodes)
65.880 * * [simplify]: iters left: 2 (57 enodes)
65.888 * * [simplify]: Extracting #0: cost 1 inf + 0
65.888 * * [simplify]: Extracting #1: cost 9 inf + 0
65.888 * * [simplify]: Extracting #2: cost 15 inf + 3
65.888 * * [simplify]: Extracting #3: cost 11 inf + 131
65.888 * * [simplify]: Extracting #4: cost 2 inf + 711
65.889 * * [simplify]: Extracting #5: cost 0 inf + 836
65.889 * [simplify]: Simplified to (- 1/4 (/ k 4))
65.889 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.889 * * * * [progress]: [ 163 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
65.889 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
65.889 * * [simplify]: iters left: 6 (7 enodes)
65.892 * * [simplify]: iters left: 5 (31 enodes)
65.897 * * [simplify]: iters left: 4 (51 enodes)
65.910 * * [simplify]: iters left: 3 (64 enodes)
65.929 * * [simplify]: iters left: 2 (77 enodes)
65.950 * * [simplify]: iters left: 1 (84 enodes)
65.972 * * [simplify]: Extracting #0: cost 1 inf + 0
65.972 * * [simplify]: Extracting #1: cost 11 inf + 0
65.972 * * [simplify]: Extracting #2: cost 26 inf + 82
65.972 * * [simplify]: Extracting #3: cost 24 inf + 692
65.973 * * [simplify]: Extracting #4: cost 3 inf + 3057
65.974 * * [simplify]: Extracting #5: cost 0 inf + 3504
65.975 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
65.976 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
65.976 * * * * [progress]: [ 164 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
65.976 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
65.976 * * [simplify]: iters left: 6 (7 enodes)
65.981 * * [simplify]: iters left: 5 (31 enodes)
65.994 * * [simplify]: iters left: 4 (51 enodes)
66.010 * * [simplify]: iters left: 3 (64 enodes)
66.029 * * [simplify]: iters left: 2 (77 enodes)
66.051 * * [simplify]: iters left: 1 (84 enodes)
66.065 * * [simplify]: Extracting #0: cost 1 inf + 0
66.065 * * [simplify]: Extracting #1: cost 11 inf + 0
66.065 * * [simplify]: Extracting #2: cost 26 inf + 42
66.065 * * [simplify]: Extracting #3: cost 24 inf + 452
66.065 * * [simplify]: Extracting #4: cost 3 inf + 2337
66.066 * * [simplify]: Extracting #5: cost 0 inf + 2704
66.066 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
66.067 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
66.067 * * * * [progress]: [ 165 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.067 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
66.067 * * [simplify]: iters left: 6 (6 enodes)
66.069 * * [simplify]: iters left: 5 (29 enodes)
66.075 * * [simplify]: iters left: 4 (44 enodes)
66.081 * * [simplify]: iters left: 3 (50 enodes)
66.093 * * [simplify]: iters left: 2 (57 enodes)
66.109 * * [simplify]: Extracting #0: cost 1 inf + 0
66.109 * * [simplify]: Extracting #1: cost 9 inf + 0
66.109 * * [simplify]: Extracting #2: cost 15 inf + 3
66.109 * * [simplify]: Extracting #3: cost 11 inf + 131
66.110 * * [simplify]: Extracting #4: cost 2 inf + 711
66.110 * * [simplify]: Extracting #5: cost 0 inf + 836
66.111 * [simplify]: Simplified to (- 1/4 (/ k 4))
66.111 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
66.111 * * * * [progress]: [ 166 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.111 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
66.111 * * [simplify]: iters left: 4 (5 enodes)
66.116 * * [simplify]: iters left: 3 (20 enodes)
66.125 * * [simplify]: iters left: 2 (27 enodes)
66.133 * * [simplify]: iters left: 1 (29 enodes)
66.139 * * [simplify]: Extracting #0: cost 1 inf + 0
66.139 * * [simplify]: Extracting #1: cost 8 inf + 0
66.139 * * [simplify]: Extracting #2: cost 4 inf + 449
66.139 * * [simplify]: Extracting #3: cost 0 inf + 895
66.139 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
66.139 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
66.140 * * * * [progress]: [ 167 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.140 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
66.140 * * [simplify]: iters left: 4 (5 enodes)
66.142 * * [simplify]: iters left: 3 (20 enodes)
66.146 * * [simplify]: iters left: 2 (27 enodes)
66.150 * * [simplify]: iters left: 1 (29 enodes)
66.155 * * [simplify]: Extracting #0: cost 1 inf + 0
66.156 * * [simplify]: Extracting #1: cost 8 inf + 0
66.156 * * [simplify]: Extracting #2: cost 4 inf + 289
66.156 * * [simplify]: Extracting #3: cost 0 inf + 575
66.156 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
66.156 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
66.156 * * * * [progress]: [ 168 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.156 * [simplify]: Simplifying (/ (/ 1 2) 2)
66.156 * * [simplify]: iters left: 4 (4 enodes)
66.159 * * [simplify]: iters left: 3 (19 enodes)
66.162 * * [simplify]: iters left: 2 (23 enodes)
66.166 * * [simplify]: Extracting #0: cost 1 inf + 0
66.166 * * [simplify]: Extracting #1: cost 0 inf + 1
66.166 * [simplify]: Simplified to 1/4
66.166 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
66.166 * * * * [progress]: [ 169 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.166 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
66.166 * * [simplify]: iters left: 6 (6 enodes)
66.168 * * [simplify]: iters left: 5 (29 enodes)
66.173 * * [simplify]: iters left: 4 (44 enodes)
66.180 * * [simplify]: iters left: 3 (50 enodes)
66.188 * * [simplify]: iters left: 2 (57 enodes)
66.196 * * [simplify]: Extracting #0: cost 1 inf + 0
66.196 * * [simplify]: Extracting #1: cost 9 inf + 0
66.196 * * [simplify]: Extracting #2: cost 15 inf + 3
66.196 * * [simplify]: Extracting #3: cost 11 inf + 131
66.196 * * [simplify]: Extracting #4: cost 2 inf + 711
66.196 * * [simplify]: Extracting #5: cost 0 inf + 836
66.196 * [simplify]: Simplified to (- 1/4 (/ k 4))
66.197 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
66.197 * * * * [progress]: [ 170 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.197 * [simplify]: Simplifying (/ 1 2)
66.197 * * [simplify]: iters left: 2 (3 enodes)
66.199 * * [simplify]: iters left: 1 (12 enodes)
66.201 * * [simplify]: Extracting #0: cost 1 inf + 0
66.201 * * [simplify]: Extracting #1: cost 0 inf + 1
66.201 * [simplify]: Simplified to 1/2
66.201 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
66.201 * * * * [progress]: [ 171 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.202 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
66.202 * * [simplify]: iters left: 6 (8 enodes)
66.204 * * [simplify]: iters left: 5 (38 enodes)
66.213 * * [simplify]: iters left: 4 (66 enodes)
66.225 * * [simplify]: iters left: 3 (110 enodes)
66.259 * * [simplify]: iters left: 2 (200 enodes)
66.333 * * [simplify]: iters left: 1 (403 enodes)
66.529 * * [simplify]: Extracting #0: cost 1 inf + 0
66.529 * * [simplify]: Extracting #1: cost 26 inf + 0
66.530 * * [simplify]: Extracting #2: cost 100 inf + 2
66.531 * * [simplify]: Extracting #3: cost 164 inf + 10
66.533 * * [simplify]: Extracting #4: cost 163 inf + 641
66.538 * * [simplify]: Extracting #5: cost 72 inf + 12998
66.554 * * [simplify]: Extracting #6: cost 25 inf + 35040
66.570 * * [simplify]: Extracting #7: cost 0 inf + 54806
66.581 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
66.581 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
66.581 * * * * [progress]: [ 172 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.581 * * * * [progress]: [ 173 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.581 * * * * [progress]: [ 174 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.581 * * * * [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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.581 * * * * [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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.581 * * * * [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)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.581 * * * * [progress]: [ 178 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.581 * * * * [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))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.581 * * * * [progress]: [ 180 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.581 * * * * [progress]: [ 181 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (log1p (expm1 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.581 * * * * [progress]: [ 182 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (expm1 (log1p (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.581 * * * * [progress]: [ 183 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.582 * [simplify]: Simplifying (* n (* 2 PI))
66.582 * * [simplify]: iters left: 4 (5 enodes)
66.583 * * [simplify]: iters left: 3 (19 enodes)
66.586 * * [simplify]: iters left: 2 (27 enodes)
66.590 * * [simplify]: iters left: 1 (32 enodes)
66.594 * * [simplify]: Extracting #0: cost 1 inf + 0
66.595 * * [simplify]: Extracting #1: cost 8 inf + 0
66.595 * * [simplify]: Extracting #2: cost 7 inf + 45
66.595 * * [simplify]: Extracting #3: cost 0 inf + 421
66.595 * [simplify]: Simplified to (* (* PI 2) n)
66.595 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
66.595 * * * * [progress]: [ 184 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.595 * [simplify]: Simplifying (* n (* 2 PI))
66.595 * * [simplify]: iters left: 4 (5 enodes)
66.597 * * [simplify]: iters left: 3 (19 enodes)
66.600 * * [simplify]: iters left: 2 (27 enodes)
66.604 * * [simplify]: iters left: 1 (32 enodes)
66.608 * * [simplify]: Extracting #0: cost 1 inf + 0
66.608 * * [simplify]: Extracting #1: cost 8 inf + 0
66.608 * * [simplify]: Extracting #2: cost 7 inf + 45
66.609 * * [simplify]: Extracting #3: cost 0 inf + 421
66.609 * [simplify]: Simplified to (* (* PI 2) n)
66.609 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
66.609 * * * * [progress]: [ 185 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.609 * * * * [progress]: [ 186 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.609 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
66.609 * * [simplify]: iters left: 5 (8 enodes)
66.611 * * [simplify]: iters left: 4 (28 enodes)
66.615 * * [simplify]: iters left: 3 (36 enodes)
66.621 * * [simplify]: iters left: 2 (42 enodes)
66.628 * * [simplify]: Extracting #0: cost 1 inf + 0
66.628 * * [simplify]: Extracting #1: cost 8 inf + 0
66.628 * * [simplify]: Extracting #2: cost 17 inf + 0
66.628 * * [simplify]: Extracting #3: cost 12 inf + 145
66.628 * * [simplify]: Extracting #4: cost 5 inf + 1197
66.629 * * [simplify]: Extracting #5: cost 1 inf + 1925
66.629 * * [simplify]: Extracting #6: cost 0 inf + 2107
66.630 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
66.630 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
66.630 * * * * [progress]: [ 187 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.630 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
66.631 * * [simplify]: iters left: 5 (7 enodes)
66.634 * * [simplify]: iters left: 4 (26 enodes)
66.643 * * [simplify]: iters left: 3 (35 enodes)
66.656 * * [simplify]: iters left: 2 (44 enodes)
66.668 * * [simplify]: Extracting #0: cost 1 inf + 0
66.668 * * [simplify]: Extracting #1: cost 8 inf + 0
66.668 * * [simplify]: Extracting #2: cost 18 inf + 0
66.668 * * [simplify]: Extracting #3: cost 15 inf + 74
66.668 * * [simplify]: Extracting #4: cost 8 inf + 554
66.669 * * [simplify]: Extracting #5: cost 0 inf + 1911
66.670 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
66.670 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
66.670 * * * * [progress]: [ 188 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (log (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.670 * * * * [progress]: [ 189 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (log (exp (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.670 * * * * [progress]: [ 190 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.670 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
66.670 * * [simplify]: iters left: 6 (11 enodes)
66.678 * * [simplify]: iters left: 5 (48 enodes)
66.697 * * [simplify]: iters left: 4 (121 enodes)
66.744 * * [simplify]: iters left: 3 (348 enodes)
66.913 * * [simplify]: Extracting #0: cost 1 inf + 0
66.913 * * [simplify]: Extracting #1: cost 67 inf + 0
66.915 * * [simplify]: Extracting #2: cost 165 inf + 786
66.920 * * [simplify]: Extracting #3: cost 85 inf + 10177
66.932 * * [simplify]: Extracting #4: cost 9 inf + 26399
66.945 * * [simplify]: Extracting #5: cost 0 inf + 28546
66.958 * * [simplify]: Extracting #6: cost 0 inf + 28506
66.971 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
66.971 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
66.971 * * * * [progress]: [ 191 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
66.972 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
66.972 * * [simplify]: iters left: 6 (9 enodes)
66.978 * * [simplify]: iters left: 5 (45 enodes)
66.999 * * [simplify]: iters left: 4 (117 enodes)
67.063 * * [simplify]: iters left: 3 (374 enodes)
67.298 * * [simplify]: Extracting #0: cost 1 inf + 0
67.298 * * [simplify]: Extracting #1: cost 77 inf + 0
67.299 * * [simplify]: Extracting #2: cost 184 inf + 984
67.303 * * [simplify]: Extracting #3: cost 106 inf + 11690
67.311 * * [simplify]: Extracting #4: cost 6 inf + 30376
67.321 * * [simplify]: Extracting #5: cost 0 inf + 31644
67.330 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
67.330 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
67.330 * * * * [progress]: [ 192 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.330 * * * * [progress]: [ 193 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.330 * * * * [progress]: [ 194 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.330 * * * * [progress]: [ 195 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.330 * * * * [progress]: [ 196 / 234 ] 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))))>
67.331 * * * * [progress]: [ 197 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.331 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
67.331 * * [simplify]: iters left: 3 (3 enodes)
67.331 * * [simplify]: iters left: 2 (9 enodes)
67.333 * * [simplify]: Extracting #0: cost 1 inf + 0
67.334 * * [simplify]: Extracting #1: cost 3 inf + 0
67.334 * * [simplify]: Extracting #2: cost 5 inf + 0
67.334 * * [simplify]: Extracting #3: cost 4 inf + 1
67.334 * * [simplify]: Extracting #4: cost 0 inf + 405
67.334 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
67.334 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
67.334 * * * * [progress]: [ 198 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.334 * [simplify]: Simplifying (sqrt n)
67.334 * * [simplify]: iters left: 1 (2 enodes)
67.339 * * [simplify]: Extracting #0: cost 1 inf + 0
67.339 * * [simplify]: Extracting #1: cost 3 inf + 0
67.339 * * [simplify]: Extracting #2: cost 2 inf + 1
67.340 * * [simplify]: Extracting #3: cost 0 inf + 83
67.340 * [simplify]: Simplified to (sqrt n)
67.340 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
67.340 * * * * [progress]: [ 199 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.340 * * * * [progress]: [ 200 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.340 * * * * [progress]: [ 201 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.340 * * * * [progress]: [ 202 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (log1p (expm1 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.340 * * * * [progress]: [ 203 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (expm1 (log1p (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.340 * * * * [progress]: [ 204 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.341 * [simplify]: Simplifying (* n (* 2 PI))
67.341 * * [simplify]: iters left: 4 (5 enodes)
67.344 * * [simplify]: iters left: 3 (19 enodes)
67.349 * * [simplify]: iters left: 2 (27 enodes)
67.357 * * [simplify]: iters left: 1 (32 enodes)
67.363 * * [simplify]: Extracting #0: cost 1 inf + 0
67.363 * * [simplify]: Extracting #1: cost 8 inf + 0
67.363 * * [simplify]: Extracting #2: cost 7 inf + 45
67.363 * * [simplify]: Extracting #3: cost 0 inf + 421
67.363 * [simplify]: Simplified to (* (* PI 2) n)
67.363 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
67.364 * * * * [progress]: [ 205 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.364 * [simplify]: Simplifying (* n (* 2 PI))
67.364 * * [simplify]: iters left: 4 (5 enodes)
67.365 * * [simplify]: iters left: 3 (19 enodes)
67.368 * * [simplify]: iters left: 2 (27 enodes)
67.372 * * [simplify]: iters left: 1 (32 enodes)
67.376 * * [simplify]: Extracting #0: cost 1 inf + 0
67.376 * * [simplify]: Extracting #1: cost 8 inf + 0
67.377 * * [simplify]: Extracting #2: cost 7 inf + 45
67.377 * * [simplify]: Extracting #3: cost 0 inf + 421
67.377 * [simplify]: Simplified to (* (* PI 2) n)
67.377 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
67.377 * * * * [progress]: [ 206 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.377 * * * * [progress]: [ 207 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.377 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
67.377 * * [simplify]: iters left: 5 (8 enodes)
67.379 * * [simplify]: iters left: 4 (28 enodes)
67.384 * * [simplify]: iters left: 3 (36 enodes)
67.390 * * [simplify]: iters left: 2 (42 enodes)
67.400 * * [simplify]: Extracting #0: cost 1 inf + 0
67.400 * * [simplify]: Extracting #1: cost 8 inf + 0
67.401 * * [simplify]: Extracting #2: cost 17 inf + 0
67.401 * * [simplify]: Extracting #3: cost 12 inf + 145
67.401 * * [simplify]: Extracting #4: cost 5 inf + 1197
67.402 * * [simplify]: Extracting #5: cost 1 inf + 1925
67.402 * * [simplify]: Extracting #6: cost 0 inf + 2107
67.403 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
67.403 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
67.403 * * * * [progress]: [ 208 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.403 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
67.403 * * [simplify]: iters left: 5 (7 enodes)
67.407 * * [simplify]: iters left: 4 (26 enodes)
67.412 * * [simplify]: iters left: 3 (35 enodes)
67.417 * * [simplify]: iters left: 2 (44 enodes)
67.423 * * [simplify]: Extracting #0: cost 1 inf + 0
67.423 * * [simplify]: Extracting #1: cost 8 inf + 0
67.423 * * [simplify]: Extracting #2: cost 18 inf + 0
67.423 * * [simplify]: Extracting #3: cost 15 inf + 74
67.423 * * [simplify]: Extracting #4: cost 8 inf + 554
67.423 * * [simplify]: Extracting #5: cost 0 inf + 1911
67.423 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
67.423 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
67.424 * * * * [progress]: [ 209 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (exp (log (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.424 * * * * [progress]: [ 210 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (log (exp (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.424 * * * * [progress]: [ 211 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.424 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
67.424 * * [simplify]: iters left: 6 (11 enodes)
67.428 * * [simplify]: iters left: 5 (48 enodes)
67.438 * * [simplify]: iters left: 4 (121 enodes)
67.494 * * [simplify]: iters left: 3 (348 enodes)
67.732 * * [simplify]: Extracting #0: cost 1 inf + 0
67.732 * * [simplify]: Extracting #1: cost 67 inf + 0
67.733 * * [simplify]: Extracting #2: cost 165 inf + 786
67.736 * * [simplify]: Extracting #3: cost 85 inf + 10177
67.744 * * [simplify]: Extracting #4: cost 9 inf + 26399
67.757 * * [simplify]: Extracting #5: cost 0 inf + 28546
67.770 * * [simplify]: Extracting #6: cost 0 inf + 28506
67.783 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
67.783 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
67.783 * * * * [progress]: [ 212 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
67.783 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
67.783 * * [simplify]: iters left: 6 (9 enodes)
67.789 * * [simplify]: iters left: 5 (45 enodes)
67.804 * * [simplify]: iters left: 4 (117 enodes)
67.847 * * [simplify]: iters left: 3 (374 enodes)
68.131 * * [simplify]: Extracting #0: cost 1 inf + 0
68.131 * * [simplify]: Extracting #1: cost 77 inf + 0
68.132 * * [simplify]: Extracting #2: cost 184 inf + 984
68.136 * * [simplify]: Extracting #3: cost 106 inf + 11690
68.145 * * [simplify]: Extracting #4: cost 6 inf + 30376
68.155 * * [simplify]: Extracting #5: cost 0 inf + 31644
68.172 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
68.172 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
68.172 * * * * [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)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
68.173 * * * * [progress]: [ 214 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
68.173 * * * * [progress]: [ 215 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
68.173 * * * * [progress]: [ 216 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
68.173 * * * * [progress]: [ 217 / 234 ] 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))))>
68.173 * * * * [progress]: [ 218 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
68.173 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
68.173 * * [simplify]: iters left: 3 (3 enodes)
68.175 * * [simplify]: iters left: 2 (9 enodes)
68.177 * * [simplify]: Extracting #0: cost 1 inf + 0
68.177 * * [simplify]: Extracting #1: cost 3 inf + 0
68.177 * * [simplify]: Extracting #2: cost 5 inf + 0
68.177 * * [simplify]: Extracting #3: cost 4 inf + 1
68.177 * * [simplify]: Extracting #4: cost 0 inf + 405
68.177 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
68.177 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
68.178 * * * * [progress]: [ 219 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
68.178 * [simplify]: Simplifying (sqrt n)
68.178 * * [simplify]: iters left: 1 (2 enodes)
68.179 * * [simplify]: Extracting #0: cost 1 inf + 0
68.179 * * [simplify]: Extracting #1: cost 3 inf + 0
68.179 * * [simplify]: Extracting #2: cost 2 inf + 1
68.179 * * [simplify]: Extracting #3: cost 0 inf + 83
68.179 * [simplify]: Simplified to (sqrt n)
68.179 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
68.179 * * * * [progress]: [ 220 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
68.179 * * * * [progress]: [ 221 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
68.179 * * * * [progress]: [ 222 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
68.179 * * * * [progress]: [ 223 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (- (+ (* 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))))))) (sqrt k))))>
68.180 * [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)))))))
68.180 * * [simplify]: iters left: 6 (37 enodes)
68.193 * * [simplify]: iters left: 5 (193 enodes)
68.239 * * [simplify]: Extracting #0: cost 1 inf + 0
68.239 * * [simplify]: Extracting #1: cost 22 inf + 0
68.239 * * [simplify]: Extracting #2: cost 104 inf + 1
68.240 * * [simplify]: Extracting #3: cost 170 inf + 88
68.241 * * [simplify]: Extracting #4: cost 195 inf + 509
68.243 * * [simplify]: Extracting #5: cost 136 inf + 15293
68.250 * * [simplify]: Extracting #6: cost 47 inf + 48666
68.266 * * [simplify]: Extracting #7: cost 3 inf + 79281
68.289 * * [simplify]: Extracting #8: cost 0 inf + 80934
68.326 * * [simplify]: Extracting #9: cost 0 inf + 80864
68.359 * [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))))))))
68.359 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (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)))))))) (sqrt k))))
68.360 * * * * [progress]: [ 224 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k))))>
68.360 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
68.360 * * [simplify]: iters left: 6 (15 enodes)
68.370 * * [simplify]: iters left: 5 (65 enodes)
68.392 * * [simplify]: iters left: 4 (123 enodes)
68.433 * * [simplify]: iters left: 3 (366 enodes)
68.571 * * [simplify]: Extracting #0: cost 1 inf + 0
68.571 * * [simplify]: Extracting #1: cost 37 inf + 0
68.572 * * [simplify]: Extracting #2: cost 212 inf + 143
68.573 * * [simplify]: Extracting #3: cost 347 inf + 1812
68.581 * * [simplify]: Extracting #4: cost 207 inf + 31167
68.595 * * [simplify]: Extracting #5: cost 25 inf + 82567
68.611 * * [simplify]: Extracting #6: cost 0 inf + 89048
68.627 * * [simplify]: Extracting #7: cost 0 inf + 88844
68.659 * * [simplify]: Extracting #8: cost 0 inf + 88842
68.693 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))
68.693 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) (sqrt k))))
68.693 * * * * [progress]: [ 225 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k))))>
68.693 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
68.694 * * [simplify]: iters left: 6 (16 enodes)
68.704 * * [simplify]: iters left: 5 (67 enodes)
68.724 * * [simplify]: iters left: 4 (134 enodes)
68.755 * * [simplify]: iters left: 3 (412 enodes)
68.989 * * [simplify]: Extracting #0: cost 1 inf + 0
68.989 * * [simplify]: Extracting #1: cost 39 inf + 0
68.991 * * [simplify]: Extracting #2: cost 241 inf + 72
68.994 * * [simplify]: Extracting #3: cost 448 inf + 1069
69.005 * * [simplify]: Extracting #4: cost 308 inf + 32324
69.027 * * [simplify]: Extracting #5: cost 42 inf + 110073
69.050 * * [simplify]: Extracting #6: cost 0 inf + 122155
69.099 * * [simplify]: Extracting #7: cost 0 inf + 121985
69.145 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
69.145 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k))))
69.145 * * * * [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))))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
69.146 * [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)))))))
69.146 * * [simplify]: iters left: 6 (37 enodes)
69.163 * * [simplify]: iters left: 5 (193 enodes)
69.214 * * [simplify]: Extracting #0: cost 1 inf + 0
69.214 * * [simplify]: Extracting #1: cost 22 inf + 0
69.214 * * [simplify]: Extracting #2: cost 104 inf + 1
69.215 * * [simplify]: Extracting #3: cost 170 inf + 88
69.217 * * [simplify]: Extracting #4: cost 195 inf + 509
69.222 * * [simplify]: Extracting #5: cost 136 inf + 15293
69.236 * * [simplify]: Extracting #6: cost 47 inf + 48666
69.265 * * [simplify]: Extracting #7: cost 3 inf + 79281
69.300 * * [simplify]: Extracting #8: cost 0 inf + 80934
69.333 * * [simplify]: Extracting #9: cost 0 inf + 80864
69.371 * [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))))))))
69.371 * [simplify]: Simplified (2 1 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)))))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
69.372 * * * * [progress]: [ 227 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
69.372 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
69.372 * * [simplify]: iters left: 6 (15 enodes)
69.381 * * [simplify]: iters left: 5 (65 enodes)
69.393 * * [simplify]: iters left: 4 (123 enodes)
69.430 * * [simplify]: iters left: 3 (366 enodes)
69.635 * * [simplify]: Extracting #0: cost 1 inf + 0
69.635 * * [simplify]: Extracting #1: cost 37 inf + 0
69.636 * * [simplify]: Extracting #2: cost 212 inf + 143
69.639 * * [simplify]: Extracting #3: cost 347 inf + 1812
69.648 * * [simplify]: Extracting #4: cost 207 inf + 31167
69.681 * * [simplify]: Extracting #5: cost 25 inf + 82567
69.714 * * [simplify]: Extracting #6: cost 0 inf + 89048
69.731 * * [simplify]: Extracting #7: cost 0 inf + 88844
69.751 * * [simplify]: Extracting #8: cost 0 inf + 88842
69.782 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))
69.782 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
69.782 * * * * [progress]: [ 228 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
69.782 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
69.782 * * [simplify]: iters left: 6 (16 enodes)
69.789 * * [simplify]: iters left: 5 (67 enodes)
69.803 * * [simplify]: iters left: 4 (134 enodes)
69.848 * * [simplify]: iters left: 3 (412 enodes)
70.100 * * [simplify]: Extracting #0: cost 1 inf + 0
70.100 * * [simplify]: Extracting #1: cost 39 inf + 0
70.101 * * [simplify]: Extracting #2: cost 241 inf + 72
70.104 * * [simplify]: Extracting #3: cost 448 inf + 1069
70.115 * * [simplify]: Extracting #4: cost 308 inf + 32324
70.152 * * [simplify]: Extracting #5: cost 42 inf + 110073
70.198 * * [simplify]: Extracting #6: cost 0 inf + 122155
70.244 * * [simplify]: Extracting #7: cost 0 inf + 121985
70.267 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
70.267 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
70.267 * * * * [progress]: [ 229 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
70.268 * [simplify]: Simplifying (* 2 (* n PI))
70.268 * * [simplify]: iters left: 4 (5 enodes)
70.269 * * [simplify]: iters left: 3 (19 enodes)
70.272 * * [simplify]: iters left: 2 (27 enodes)
70.277 * * [simplify]: iters left: 1 (32 enodes)
70.285 * * [simplify]: Extracting #0: cost 1 inf + 0
70.285 * * [simplify]: Extracting #1: cost 8 inf + 0
70.285 * * [simplify]: Extracting #2: cost 7 inf + 45
70.286 * * [simplify]: Extracting #3: cost 0 inf + 421
70.286 * [simplify]: Simplified to (* (* PI n) 2)
70.286 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
70.286 * * * * [progress]: [ 230 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
70.287 * [simplify]: Simplifying (* 2 (* n PI))
70.287 * * [simplify]: iters left: 4 (5 enodes)
70.290 * * [simplify]: iters left: 3 (19 enodes)
70.295 * * [simplify]: iters left: 2 (27 enodes)
70.303 * * [simplify]: iters left: 1 (32 enodes)
70.312 * * [simplify]: Extracting #0: cost 1 inf + 0
70.312 * * [simplify]: Extracting #1: cost 8 inf + 0
70.312 * * [simplify]: Extracting #2: cost 7 inf + 45
70.312 * * [simplify]: Extracting #3: cost 0 inf + 421
70.312 * [simplify]: Simplified to (* (* PI n) 2)
70.312 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
70.313 * * * * [progress]: [ 231 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
70.313 * [simplify]: Simplifying (* 2 (* n PI))
70.313 * * [simplify]: iters left: 4 (5 enodes)
70.316 * * [simplify]: iters left: 3 (19 enodes)
70.321 * * [simplify]: iters left: 2 (27 enodes)
70.329 * * [simplify]: iters left: 1 (32 enodes)
70.337 * * [simplify]: Extracting #0: cost 1 inf + 0
70.337 * * [simplify]: Extracting #1: cost 8 inf + 0
70.338 * * [simplify]: Extracting #2: cost 7 inf + 45
70.338 * * [simplify]: Extracting #3: cost 0 inf + 421
70.338 * [simplify]: Simplified to (* (* PI n) 2)
70.338 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
70.338 * * * * [progress]: [ 232 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
70.339 * [simplify]: Simplifying (* 2 (* n PI))
70.339 * * [simplify]: iters left: 4 (5 enodes)
70.342 * * [simplify]: iters left: 3 (19 enodes)
70.349 * * [simplify]: iters left: 2 (27 enodes)
70.357 * * [simplify]: iters left: 1 (32 enodes)
70.365 * * [simplify]: Extracting #0: cost 1 inf + 0
70.365 * * [simplify]: Extracting #1: cost 8 inf + 0
70.365 * * [simplify]: Extracting #2: cost 7 inf + 45
70.366 * * [simplify]: Extracting #3: cost 0 inf + 421
70.366 * [simplify]: Simplified to (* (* PI n) 2)
70.366 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
70.366 * * * * [progress]: [ 233 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
70.366 * [simplify]: Simplifying (* 2 (* n PI))
70.367 * * [simplify]: iters left: 4 (5 enodes)
70.369 * * [simplify]: iters left: 3 (19 enodes)
70.375 * * [simplify]: iters left: 2 (27 enodes)
70.383 * * [simplify]: iters left: 1 (32 enodes)
70.391 * * [simplify]: Extracting #0: cost 1 inf + 0
70.391 * * [simplify]: Extracting #1: cost 8 inf + 0
70.391 * * [simplify]: Extracting #2: cost 7 inf + 45
70.392 * * [simplify]: Extracting #3: cost 0 inf + 421
70.392 * [simplify]: Simplified to (* (* PI n) 2)
70.392 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
70.392 * * * * [progress]: [ 234 / 234 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
70.392 * [simplify]: Simplifying (* 2 (* n PI))
70.392 * * [simplify]: iters left: 4 (5 enodes)
70.395 * * [simplify]: iters left: 3 (19 enodes)
70.401 * * [simplify]: iters left: 2 (27 enodes)
70.409 * * [simplify]: iters left: 1 (32 enodes)
70.417 * * [simplify]: Extracting #0: cost 1 inf + 0
70.417 * * [simplify]: Extracting #1: cost 8 inf + 0
70.417 * * [simplify]: Extracting #2: cost 7 inf + 45
70.418 * * [simplify]: Extracting #3: cost 0 inf + 421
70.418 * [simplify]: Simplified to (* (* PI n) 2)
70.418 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
70.418 * * * [progress]: adding candidates to table
73.581 * [progress]: [Phase 3 of 3] Extracting.
73.581 * * [regime]: Finding splitpoints for: (#<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) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))> #<alt (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))))))> #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))> #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>)
73.583 * * * [regime-changes]: Trying 2 branch expressions: (n k)
73.583 * * * * [regimes]: Trying to branch on n from (#<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) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))> #<alt (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))))))> #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))> #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>)
73.641 * * * * [regimes]: Trying to branch on k from (#<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) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))> #<alt (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))))))> #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))> #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))> #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>)
73.698 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
73.699 * [simplify]: Simplifying (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))
73.699 * * [simplify]: iters left: 6 (14 enodes)
73.699 * * [simplify]: iters left: 5 (18 enodes)
73.700 * * [simplify]: Extracting #0: cost 1 inf + 0
73.700 * * [simplify]: Extracting #1: cost 3 inf + 0
73.700 * * [simplify]: Extracting #2: cost 5 inf + 0
73.700 * * [simplify]: Extracting #3: cost 6 inf + 1
73.700 * * [simplify]: Extracting #4: cost 9 inf + 42
73.700 * * [simplify]: Extracting #5: cost 9 inf + 44
73.700 * * [simplify]: Extracting #6: cost 8 inf + 87
73.700 * * [simplify]: Extracting #7: cost 5 inf + 213
73.700 * * [simplify]: Extracting #8: cost 3 inf + 419
73.700 * * [simplify]: Extracting #9: cost 0 inf + 1824
73.701 * [simplify]: Simplified to (/ (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2))) (sqrt k))
82.150 * [regime-testing]: Baseline error score: 0.4543188694775305
82.152 * [regime-testing]: Oracle error score: 0.036922096512424625
82.154 * [regime-testing]: End program error score: 0.4543188694775305