0.001 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.184 * * * [progress]: [2/2] Setting up program.
0.190 * [progress]: [Phase 2 of 3] Improving.
0.190 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.190 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.190 * * [simplify]: iters left: 6 (13 enodes)
0.197 * * [simplify]: iters left: 5 (57 enodes)
0.245 * * [simplify]: iters left: 4 (96 enodes)
0.278 * * [simplify]: iters left: 3 (172 enodes)
0.348 * * [simplify]: iters left: 2 (338 enodes)
0.492 * * [simplify]: Extracting #0: cost 1 inf + 0
0.492 * * [simplify]: Extracting #1: cost 41 inf + 0
0.492 * * [simplify]: Extracting #2: cost 120 inf + 1
0.493 * * [simplify]: Extracting #3: cost 166 inf + 127
0.494 * * [simplify]: Extracting #4: cost 163 inf + 676
0.495 * * [simplify]: Extracting #5: cost 119 inf + 8991
0.500 * * [simplify]: Extracting #6: cost 63 inf + 29786
0.511 * * [simplify]: Extracting #7: cost 6 inf + 73494
0.524 * * [simplify]: Extracting #8: cost 0 inf + 78104
0.536 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
0.536 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
0.549 * * [progress]: iteration 1 / 4
0.549 * * * [progress]: picking best candidate
0.563 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))>
0.563 * * * [progress]: localizing error
0.588 * * * [progress]: generating rewritten candidates
0.588 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
0.602 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
0.623 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
0.654 * * * [progress]: generating series expansions
0.654 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
0.655 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
0.655 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
0.655 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
0.655 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
0.655 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
0.655 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
0.655 * [taylor]: Taking taylor expansion of 1/2 in k
0.655 * [backup-simplify]: Simplify 1/2 into 1/2
0.655 * [taylor]: Taking taylor expansion of (- 1 k) in k
0.655 * [taylor]: Taking taylor expansion of 1 in k
0.655 * [backup-simplify]: Simplify 1 into 1
0.655 * [taylor]: Taking taylor expansion of k in k
0.655 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify 1 into 1
0.655 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
0.655 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
0.655 * [taylor]: Taking taylor expansion of 2 in k
0.655 * [backup-simplify]: Simplify 2 into 2
0.655 * [taylor]: Taking taylor expansion of (* n PI) in k
0.655 * [taylor]: Taking taylor expansion of n in k
0.655 * [backup-simplify]: Simplify n into n
0.655 * [taylor]: Taking taylor expansion of PI in k
0.655 * [backup-simplify]: Simplify PI into PI
0.656 * [backup-simplify]: Simplify (* n PI) into (* n PI)
0.656 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
0.656 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
0.656 * [backup-simplify]: Simplify (- 0) into 0
0.657 * [backup-simplify]: Simplify (+ 1 0) into 1
0.657 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.657 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
0.657 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
0.657 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
0.657 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
0.657 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
0.657 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
0.657 * [taylor]: Taking taylor expansion of 1/2 in n
0.657 * [backup-simplify]: Simplify 1/2 into 1/2
0.657 * [taylor]: Taking taylor expansion of (- 1 k) in n
0.657 * [taylor]: Taking taylor expansion of 1 in n
0.658 * [backup-simplify]: Simplify 1 into 1
0.658 * [taylor]: Taking taylor expansion of k in n
0.658 * [backup-simplify]: Simplify k into k
0.658 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
0.658 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.658 * [taylor]: Taking taylor expansion of 2 in n
0.658 * [backup-simplify]: Simplify 2 into 2
0.658 * [taylor]: Taking taylor expansion of (* n PI) in n
0.658 * [taylor]: Taking taylor expansion of n in n
0.658 * [backup-simplify]: Simplify 0 into 0
0.658 * [backup-simplify]: Simplify 1 into 1
0.658 * [taylor]: Taking taylor expansion of PI in n
0.658 * [backup-simplify]: Simplify PI into PI
0.658 * [backup-simplify]: Simplify (* 0 PI) into 0
0.659 * [backup-simplify]: Simplify (* 2 0) into 0
0.660 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
0.662 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
0.663 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.663 * [backup-simplify]: Simplify (- k) into (- k)
0.663 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
0.663 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
0.664 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.665 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
0.666 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
0.666 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
0.666 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
0.666 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
0.666 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
0.666 * [taylor]: Taking taylor expansion of 1/2 in n
0.666 * [backup-simplify]: Simplify 1/2 into 1/2
0.667 * [taylor]: Taking taylor expansion of (- 1 k) in n
0.667 * [taylor]: Taking taylor expansion of 1 in n
0.667 * [backup-simplify]: Simplify 1 into 1
0.667 * [taylor]: Taking taylor expansion of k in n
0.667 * [backup-simplify]: Simplify k into k
0.667 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
0.667 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.667 * [taylor]: Taking taylor expansion of 2 in n
0.667 * [backup-simplify]: Simplify 2 into 2
0.667 * [taylor]: Taking taylor expansion of (* n PI) in n
0.667 * [taylor]: Taking taylor expansion of n in n
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify 1 into 1
0.667 * [taylor]: Taking taylor expansion of PI in n
0.667 * [backup-simplify]: Simplify PI into PI
0.667 * [backup-simplify]: Simplify (* 0 PI) into 0
0.668 * [backup-simplify]: Simplify (* 2 0) into 0
0.669 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
0.670 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
0.671 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.671 * [backup-simplify]: Simplify (- k) into (- k)
0.671 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
0.671 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
0.672 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.673 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
0.674 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
0.674 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
0.674 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
0.674 * [taylor]: Taking taylor expansion of 1/2 in k
0.674 * [backup-simplify]: Simplify 1/2 into 1/2
0.674 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
0.674 * [taylor]: Taking taylor expansion of (- 1 k) in k
0.674 * [taylor]: Taking taylor expansion of 1 in k
0.674 * [backup-simplify]: Simplify 1 into 1
0.674 * [taylor]: Taking taylor expansion of k in k
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 1 into 1
0.674 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
0.674 * [taylor]: Taking taylor expansion of (log n) in k
0.675 * [taylor]: Taking taylor expansion of n in k
0.675 * [backup-simplify]: Simplify n into n
0.675 * [backup-simplify]: Simplify (log n) into (log n)
0.675 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
0.675 * [taylor]: Taking taylor expansion of (* 2 PI) in k
0.675 * [taylor]: Taking taylor expansion of 2 in k
0.675 * [backup-simplify]: Simplify 2 into 2
0.675 * [taylor]: Taking taylor expansion of PI in k
0.675 * [backup-simplify]: Simplify PI into PI
0.675 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.676 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.676 * [backup-simplify]: Simplify (- 0) into 0
0.677 * [backup-simplify]: Simplify (+ 1 0) into 1
0.677 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.678 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
0.678 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
0.679 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
0.680 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
0.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
0.681 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
0.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
0.682 * [backup-simplify]: Simplify (- 0) into 0
0.682 * [backup-simplify]: Simplify (+ 0 0) into 0
0.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
0.683 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.684 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
0.685 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.685 * [taylor]: Taking taylor expansion of 0 in k
0.685 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify 0 into 0
0.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
0.686 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
0.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
0.687 * [backup-simplify]: Simplify (+ 0 0) into 0
0.688 * [backup-simplify]: Simplify (- 1) into -1
0.688 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.689 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
0.690 * [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)))))
0.692 * [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)))))))
0.694 * [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)))))))
0.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
0.695 * [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)))
0.700 * [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
0.705 * [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
0.719 * [taylor]: Taking taylor expansion of n in k
0.719 * [backup-simplify]: Simplify n into n
0.719 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
0.719 * [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
0.720 * [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
0.722 * [backup-simplify]: Simplify (/ PI 1) into PI
0.722 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.723 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.723 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
0.723 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
0.723 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
0.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.726 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
0.727 * [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)))))
0.727 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
0.727 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
0.727 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
0.727 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
0.727 * [taylor]: Taking taylor expansion of 1/2 in n
0.727 * [backup-simplify]: Simplify 1/2 into 1/2
0.727 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
0.727 * [taylor]: Taking taylor expansion of 1 in n
0.727 * [backup-simplify]: Simplify 1 into 1
0.727 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.727 * [taylor]: Taking taylor expansion of k in n
0.727 * [backup-simplify]: Simplify k into k
0.727 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.727 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
0.727 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
0.727 * [taylor]: Taking taylor expansion of 2 in n
0.727 * [backup-simplify]: Simplify 2 into 2
0.727 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.727 * [taylor]: Taking taylor expansion of PI in n
0.727 * [backup-simplify]: Simplify PI into PI
0.727 * [taylor]: Taking taylor expansion of n in n
0.727 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify 1 into 1
0.728 * [backup-simplify]: Simplify (/ PI 1) into PI
0.728 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.729 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.729 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
0.729 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
0.729 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
0.731 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.732 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
0.733 * [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)))))
0.733 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
0.733 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
0.733 * [taylor]: Taking taylor expansion of 1/2 in k
0.733 * [backup-simplify]: Simplify 1/2 into 1/2
0.733 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
0.733 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
0.733 * [taylor]: Taking taylor expansion of 1 in k
0.733 * [backup-simplify]: Simplify 1 into 1
0.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.733 * [taylor]: Taking taylor expansion of k in k
0.733 * [backup-simplify]: Simplify 0 into 0
0.733 * [backup-simplify]: Simplify 1 into 1
0.734 * [backup-simplify]: Simplify (/ 1 1) into 1
0.734 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
0.734 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
0.734 * [taylor]: Taking taylor expansion of (* 2 PI) in k
0.734 * [taylor]: Taking taylor expansion of 2 in k
0.734 * [backup-simplify]: Simplify 2 into 2
0.734 * [taylor]: Taking taylor expansion of PI in k
0.734 * [backup-simplify]: Simplify PI into PI
0.734 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.735 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.735 * [taylor]: Taking taylor expansion of (log n) in k
0.735 * [taylor]: Taking taylor expansion of n in k
0.735 * [backup-simplify]: Simplify n into n
0.735 * [backup-simplify]: Simplify (log n) into (log n)
0.736 * [backup-simplify]: Simplify (- 1) into -1
0.736 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.736 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
0.737 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
0.738 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
0.739 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (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 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
0.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
0.743 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
0.745 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
0.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
0.745 * [backup-simplify]: Simplify (- 0) into 0
0.746 * [backup-simplify]: Simplify (+ 0 0) into 0
0.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
0.748 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.749 * [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
0.751 * [backup-simplify]: Simplify 0 into 0
0.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.753 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
0.760 * [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
0.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.760 * [backup-simplify]: Simplify (- 0) into 0
0.761 * [backup-simplify]: Simplify (+ 0 0) into 0
0.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
0.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.765 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
0.767 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.767 * [taylor]: Taking taylor expansion of 0 in k
0.767 * [backup-simplify]: Simplify 0 into 0
0.767 * [backup-simplify]: Simplify 0 into 0
0.767 * [backup-simplify]: Simplify 0 into 0
0.767 * [backup-simplify]: Simplify 0 into 0
0.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.769 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
0.775 * [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
0.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.776 * [backup-simplify]: Simplify (- 0) into 0
0.776 * [backup-simplify]: Simplify (+ 0 0) into 0
0.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
0.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
0.781 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
0.783 * [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
0.783 * [taylor]: Taking taylor expansion of 0 in k
0.783 * [backup-simplify]: Simplify 0 into 0
0.783 * [backup-simplify]: Simplify 0 into 0
0.784 * [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))))))
0.785 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
0.785 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
0.785 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
0.785 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
0.785 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
0.785 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
0.785 * [taylor]: Taking taylor expansion of 1/2 in k
0.785 * [backup-simplify]: Simplify 1/2 into 1/2
0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
0.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.785 * [taylor]: Taking taylor expansion of k in k
0.785 * [backup-simplify]: Simplify 0 into 0
0.785 * [backup-simplify]: Simplify 1 into 1
0.786 * [backup-simplify]: Simplify (/ 1 1) into 1
0.786 * [taylor]: Taking taylor expansion of 1 in k
0.786 * [backup-simplify]: Simplify 1 into 1
0.786 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
0.786 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
0.786 * [taylor]: Taking taylor expansion of -2 in k
0.786 * [backup-simplify]: Simplify -2 into -2
0.786 * [taylor]: Taking taylor expansion of (/ PI n) in k
0.786 * [taylor]: Taking taylor expansion of PI in k
0.786 * [backup-simplify]: Simplify PI into PI
0.786 * [taylor]: Taking taylor expansion of n in k
0.786 * [backup-simplify]: Simplify n into n
0.786 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
0.786 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
0.786 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
0.787 * [backup-simplify]: Simplify (+ 1 0) into 1
0.787 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.787 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
0.787 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
0.788 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
0.788 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
0.788 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
0.788 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
0.788 * [taylor]: Taking taylor expansion of 1/2 in n
0.788 * [backup-simplify]: Simplify 1/2 into 1/2
0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
0.788 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.788 * [taylor]: Taking taylor expansion of k in n
0.788 * [backup-simplify]: Simplify k into k
0.788 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.788 * [taylor]: Taking taylor expansion of 1 in n
0.788 * [backup-simplify]: Simplify 1 into 1
0.788 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
0.788 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
0.788 * [taylor]: Taking taylor expansion of -2 in n
0.788 * [backup-simplify]: Simplify -2 into -2
0.788 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.788 * [taylor]: Taking taylor expansion of PI in n
0.788 * [backup-simplify]: Simplify PI into PI
0.788 * [taylor]: Taking taylor expansion of n in n
0.788 * [backup-simplify]: Simplify 0 into 0
0.788 * [backup-simplify]: Simplify 1 into 1
0.789 * [backup-simplify]: Simplify (/ PI 1) into PI
0.789 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
0.790 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
0.790 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
0.790 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
0.791 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.793 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
0.794 * [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)))))
0.794 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
0.794 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
0.794 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
0.794 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
0.794 * [taylor]: Taking taylor expansion of 1/2 in n
0.794 * [backup-simplify]: Simplify 1/2 into 1/2
0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
0.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.794 * [taylor]: Taking taylor expansion of k in n
0.794 * [backup-simplify]: Simplify k into k
0.794 * [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
0.795 * [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))
0.798 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.799 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
0.800 * [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)))))
0.800 * [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
0.801 * [backup-simplify]: Simplify (/ 1 1) into 1
0.801 * [taylor]: Taking taylor expansion of 1 in k
0.801 * [backup-simplify]: Simplify 1 into 1
0.801 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
0.801 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
0.801 * [taylor]: Taking taylor expansion of (* -2 PI) in k
0.801 * [taylor]: Taking taylor expansion of -2 in k
0.801 * [backup-simplify]: Simplify -2 into -2
0.801 * [taylor]: Taking taylor expansion of PI in k
0.801 * [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))
0.803 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
0.804 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
0.805 * [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)))))
0.805 * [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)))))
0.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
0.806 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
0.807 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
0.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
0.807 * [backup-simplify]: Simplify (+ 0 0) into 0
0.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
0.809 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.809 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
0.810 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.810 * [taylor]: Taking taylor expansion of 0 in k
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify 0 into 0
0.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.812 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
0.813 * [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
0.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.814 * [backup-simplify]: Simplify (+ 0 0) into 0
0.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
0.815 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.816 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
0.817 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.817 * [taylor]: Taking taylor expansion of 0 in k
0.817 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.819 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
0.822 * [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
0.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.823 * [backup-simplify]: Simplify (+ 0 0) into 0
0.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
0.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
0.826 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
0.827 * [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
0.827 * [taylor]: Taking taylor expansion of 0 in k
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify 0 into 0
0.828 * [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))))))
0.828 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
0.828 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
0.828 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
0.828 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.828 * [taylor]: Taking taylor expansion of 2 in n
0.828 * [backup-simplify]: Simplify 2 into 2
0.828 * [taylor]: Taking taylor expansion of (* n PI) in n
0.828 * [taylor]: Taking taylor expansion of n in n
0.828 * [backup-simplify]: Simplify 0 into 0
0.828 * [backup-simplify]: Simplify 1 into 1
0.828 * [taylor]: Taking taylor expansion of PI in n
0.828 * [backup-simplify]: Simplify PI into PI
0.828 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.828 * [taylor]: Taking taylor expansion of 2 in n
0.828 * [backup-simplify]: Simplify 2 into 2
0.828 * [taylor]: Taking taylor expansion of (* n PI) in n
0.828 * [taylor]: Taking taylor expansion of n in n
0.828 * [backup-simplify]: Simplify 0 into 0
0.828 * [backup-simplify]: Simplify 1 into 1
0.828 * [taylor]: Taking taylor expansion of PI in n
0.828 * [backup-simplify]: Simplify PI into PI
0.829 * [backup-simplify]: Simplify (* 0 PI) into 0
0.829 * [backup-simplify]: Simplify (* 2 0) into 0
0.829 * [backup-simplify]: Simplify 0 into 0
0.830 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
0.831 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
0.831 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
0.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
0.832 * [backup-simplify]: Simplify 0 into 0
0.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
0.834 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
0.834 * [backup-simplify]: Simplify 0 into 0
0.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
0.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
0.835 * [backup-simplify]: Simplify 0 into 0
0.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
0.837 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
0.837 * [backup-simplify]: Simplify 0 into 0
0.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
0.838 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
0.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
0.840 * [backup-simplify]: Simplify 0 into 0
0.841 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
0.841 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
0.841 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
0.842 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
0.842 * [taylor]: Taking taylor expansion of 2 in n
0.842 * [backup-simplify]: Simplify 2 into 2
0.842 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.842 * [taylor]: Taking taylor expansion of PI in n
0.842 * [backup-simplify]: Simplify PI into PI
0.842 * [taylor]: Taking taylor expansion of n in n
0.842 * [backup-simplify]: Simplify 0 into 0
0.842 * [backup-simplify]: Simplify 1 into 1
0.842 * [backup-simplify]: Simplify (/ PI 1) into PI
0.842 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
0.842 * [taylor]: Taking taylor expansion of 2 in n
0.842 * [backup-simplify]: Simplify 2 into 2
0.842 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.842 * [taylor]: Taking taylor expansion of PI in n
0.842 * [backup-simplify]: Simplify PI into PI
0.842 * [taylor]: Taking taylor expansion of n in n
0.842 * [backup-simplify]: Simplify 0 into 0
0.842 * [backup-simplify]: Simplify 1 into 1
0.843 * [backup-simplify]: Simplify (/ PI 1) into PI
0.843 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.844 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
0.845 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
0.846 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
0.848 * [backup-simplify]: Simplify 0 into 0
0.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
0.850 * [backup-simplify]: Simplify 0 into 0
0.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
0.852 * [backup-simplify]: Simplify 0 into 0
0.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.855 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
0.856 * [backup-simplify]: Simplify 0 into 0
0.857 * [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
0.858 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
0.858 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
0.859 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
0.860 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
0.860 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
0.860 * [taylor]: Taking taylor expansion of -2 in n
0.860 * [backup-simplify]: Simplify -2 into -2
0.860 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.860 * [taylor]: Taking taylor expansion of PI in n
0.860 * [backup-simplify]: Simplify PI into PI
0.860 * [taylor]: Taking taylor expansion of n in n
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify 1 into 1
0.860 * [backup-simplify]: Simplify (/ PI 1) into PI
0.860 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
0.860 * [taylor]: Taking taylor expansion of -2 in n
0.860 * [backup-simplify]: Simplify -2 into -2
0.860 * [taylor]: Taking taylor expansion of (/ PI n) in n
0.860 * [taylor]: Taking taylor expansion of PI in n
0.860 * [backup-simplify]: Simplify PI into PI
0.860 * [taylor]: Taking taylor expansion of n in n
0.860 * [backup-simplify]: Simplify 0 into 0
0.860 * [backup-simplify]: Simplify 1 into 1
0.861 * [backup-simplify]: Simplify (/ PI 1) into PI
0.861 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
0.862 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
0.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
0.864 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
0.864 * [backup-simplify]: Simplify 0 into 0
0.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.866 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
0.866 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.868 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.871 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
0.871 * [backup-simplify]: Simplify 0 into 0
0.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.873 * [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
0.876 * [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
0.878 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
0.878 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
0.879 * * * * [progress]: [ 3 / 3 ] generating series at (2)
0.880 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
0.880 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
0.880 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
0.880 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
0.880 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
0.880 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
0.880 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
0.880 * [taylor]: Taking taylor expansion of 1/2 in k
0.880 * [backup-simplify]: Simplify 1/2 into 1/2
0.880 * [taylor]: Taking taylor expansion of (- 1 k) in k
0.880 * [taylor]: Taking taylor expansion of 1 in k
0.880 * [backup-simplify]: Simplify 1 into 1
0.880 * [taylor]: Taking taylor expansion of k in k
0.880 * [backup-simplify]: Simplify 0 into 0
0.880 * [backup-simplify]: Simplify 1 into 1
0.880 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
0.880 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
0.880 * [taylor]: Taking taylor expansion of 2 in k
0.880 * [backup-simplify]: Simplify 2 into 2
0.880 * [taylor]: Taking taylor expansion of (* n PI) in k
0.880 * [taylor]: Taking taylor expansion of n in k
0.880 * [backup-simplify]: Simplify n into n
0.880 * [taylor]: Taking taylor expansion of PI in k
0.880 * [backup-simplify]: Simplify PI into PI
0.880 * [backup-simplify]: Simplify (* n PI) into (* n PI)
0.880 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
0.880 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
0.881 * [backup-simplify]: Simplify (- 0) into 0
0.881 * [backup-simplify]: Simplify (+ 1 0) into 1
0.882 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.882 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
0.882 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
0.882 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
0.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.882 * [taylor]: Taking taylor expansion of k in k
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 1 into 1
0.882 * [backup-simplify]: Simplify (/ 1 1) into 1
0.883 * [backup-simplify]: Simplify (sqrt 0) into 0
0.885 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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
0.886 * [backup-simplify]: Simplify (* 0 PI) into 0
0.886 * [backup-simplify]: Simplify (* 2 0) into 0
0.887 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
0.889 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
0.890 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.890 * [backup-simplify]: Simplify (- k) into (- k)
0.890 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
0.890 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
0.891 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.892 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
0.893 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
0.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
0.893 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.893 * [taylor]: Taking taylor expansion of k in n
0.893 * [backup-simplify]: Simplify k into k
0.893 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.894 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
0.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
0.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
0.894 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
0.894 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
0.894 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
0.894 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
0.894 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
0.894 * [taylor]: Taking taylor expansion of 1/2 in n
0.894 * [backup-simplify]: Simplify 1/2 into 1/2
0.894 * [taylor]: Taking taylor expansion of (- 1 k) in n
0.894 * [taylor]: Taking taylor expansion of 1 in n
0.894 * [backup-simplify]: Simplify 1 into 1
0.894 * [taylor]: Taking taylor expansion of k in n
0.894 * [backup-simplify]: Simplify k into k
0.894 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
0.894 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
0.894 * [taylor]: Taking taylor expansion of 2 in n
0.894 * [backup-simplify]: Simplify 2 into 2
0.894 * [taylor]: Taking taylor expansion of (* n PI) in n
0.894 * [taylor]: Taking taylor expansion of n in n
0.894 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify 1 into 1
0.894 * [taylor]: Taking taylor expansion of PI in n
0.894 * [backup-simplify]: Simplify PI into PI
0.895 * [backup-simplify]: Simplify (* 0 PI) into 0
0.895 * [backup-simplify]: Simplify (* 2 0) into 0
0.897 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
0.898 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
0.899 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.899 * [backup-simplify]: Simplify (- k) into (- k)
0.899 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
0.899 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
0.901 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.901 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
0.902 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
0.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
0.902 * [taylor]: Taking taylor expansion of (/ 1 k) in n
0.902 * [taylor]: Taking taylor expansion of k in n
0.902 * [backup-simplify]: Simplify k into k
0.902 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
0.902 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
0.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
0.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
0.903 * [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)))
0.903 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
0.903 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
0.903 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
0.903 * [taylor]: Taking taylor expansion of 1/2 in k
0.903 * [backup-simplify]: Simplify 1/2 into 1/2
0.903 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
0.903 * [taylor]: Taking taylor expansion of (- 1 k) in k
0.903 * [taylor]: Taking taylor expansion of 1 in k
0.903 * [backup-simplify]: Simplify 1 into 1
0.903 * [taylor]: Taking taylor expansion of k in k
0.903 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify 1 into 1
0.903 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
0.903 * [taylor]: Taking taylor expansion of (log n) in k
0.903 * [taylor]: Taking taylor expansion of n in k
0.903 * [backup-simplify]: Simplify n into n
0.903 * [backup-simplify]: Simplify (log n) into (log n)
0.903 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
0.903 * [taylor]: Taking taylor expansion of (* 2 PI) in k
0.903 * [taylor]: Taking taylor expansion of 2 in k
0.903 * [backup-simplify]: Simplify 2 into 2
0.903 * [taylor]: Taking taylor expansion of PI in k
0.903 * [backup-simplify]: Simplify PI into PI
0.904 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
0.904 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
0.905 * [backup-simplify]: Simplify (- 0) into 0
0.905 * [backup-simplify]: Simplify (+ 1 0) into 1
0.905 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.906 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
0.907 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
0.907 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
0.907 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
0.907 * [taylor]: Taking taylor expansion of (/ 1 k) in k
0.907 * [taylor]: Taking taylor expansion of k in k
0.907 * [backup-simplify]: Simplify 0 into 0
0.907 * [backup-simplify]: Simplify 1 into 1
0.908 * [backup-simplify]: Simplify (/ 1 1) into 1
0.908 * [backup-simplify]: Simplify (sqrt 0) into 0
0.909 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.909 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
0.909 * [backup-simplify]: Simplify 0 into 0
0.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
0.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) 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) into 0
0.912 * [backup-simplify]: Simplify (+ 0 0) into 0
0.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
0.913 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.913 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
0.915 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
0.915 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
0.915 * [taylor]: Taking taylor expansion of 0 in k
0.915 * [backup-simplify]: Simplify 0 into 0
0.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
0.916 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
0.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
0.917 * [backup-simplify]: Simplify (+ 0 0) into 0
0.918 * [backup-simplify]: Simplify (- 1) into -1
0.918 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.919 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
0.920 * [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)))))
0.922 * [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)))))))
0.924 * [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)))))))
0.925 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
0.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.925 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
0.926 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
0.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
0.928 * [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
0.929 * [backup-simplify]: Simplify (- 0) into 0
0.929 * [backup-simplify]: Simplify (+ 0 0) into 0
0.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
0.932 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.933 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
0.936 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
0.937 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
0.937 * [taylor]: Taking taylor expansion of 0 in k
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.941 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.943 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
0.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
0.947 * [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
0.948 * [backup-simplify]: Simplify (+ 0 0) into 0
0.948 * [backup-simplify]: Simplify (- 0) into 0
0.948 * [backup-simplify]: Simplify (+ 0 0) into 0
0.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
0.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
0.956 * [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)))))
0.962 * [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))))))))
0.964 * [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))))))))
0.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
0.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
0.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
0.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
0.969 * [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
0.970 * [backup-simplify]: Simplify (- 0) into 0
0.970 * [backup-simplify]: Simplify (+ 0 0) into 0
0.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
0.971 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
0.973 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
0.974 * [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
0.975 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
0.975 * [taylor]: Taking taylor expansion of 0 in k
0.975 * [backup-simplify]: Simplify 0 into 0
0.975 * [backup-simplify]: Simplify 0 into 0
0.975 * [backup-simplify]: Simplify 0 into 0
0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.982 * [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
0.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
0.986 * [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
0.986 * [backup-simplify]: Simplify (+ 0 0) into 0
0.986 * [backup-simplify]: Simplify (- 0) into 0
0.986 * [backup-simplify]: Simplify (+ 0 0) into 0
0.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
0.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
0.993 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.002 * [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))))))))))))))
1.009 * [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))))))))))))))
1.021 * [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))))))))))))))))))))))
1.022 * [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))
1.022 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
1.022 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1.022 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1.022 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1.022 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1.022 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1.022 * [taylor]: Taking taylor expansion of 1/2 in k
1.023 * [backup-simplify]: Simplify 1/2 into 1/2
1.023 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.023 * [taylor]: Taking taylor expansion of 1 in k
1.023 * [backup-simplify]: Simplify 1 into 1
1.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.023 * [taylor]: Taking taylor expansion of k in k
1.023 * [backup-simplify]: Simplify 0 into 0
1.023 * [backup-simplify]: Simplify 1 into 1
1.023 * [backup-simplify]: Simplify (/ 1 1) into 1
1.023 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1.023 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1.023 * [taylor]: Taking taylor expansion of 2 in k
1.023 * [backup-simplify]: Simplify 2 into 2
1.023 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.023 * [taylor]: Taking taylor expansion of PI in k
1.023 * [backup-simplify]: Simplify PI into PI
1.023 * [taylor]: Taking taylor expansion of n in k
1.023 * [backup-simplify]: Simplify n into n
1.023 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.024 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1.024 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1.024 * [backup-simplify]: Simplify (- 1) into -1
1.024 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.025 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1.025 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1.025 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1.025 * [taylor]: Taking taylor expansion of (sqrt k) in k
1.025 * [taylor]: Taking taylor expansion of k in k
1.025 * [backup-simplify]: Simplify 0 into 0
1.025 * [backup-simplify]: Simplify 1 into 1
1.026 * [backup-simplify]: Simplify (sqrt 0) into 0
1.027 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.027 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1.027 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.027 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.027 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.027 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.027 * [taylor]: Taking taylor expansion of 1/2 in n
1.027 * [backup-simplify]: Simplify 1/2 into 1/2
1.027 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.027 * [taylor]: Taking taylor expansion of 1 in n
1.027 * [backup-simplify]: Simplify 1 into 1
1.027 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.027 * [taylor]: Taking taylor expansion of k in n
1.027 * [backup-simplify]: Simplify k into k
1.027 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.028 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.028 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.028 * [taylor]: Taking taylor expansion of 2 in n
1.028 * [backup-simplify]: Simplify 2 into 2
1.028 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.028 * [taylor]: Taking taylor expansion of PI in n
1.028 * [backup-simplify]: Simplify PI into PI
1.028 * [taylor]: Taking taylor expansion of n in n
1.028 * [backup-simplify]: Simplify 0 into 0
1.028 * [backup-simplify]: Simplify 1 into 1
1.028 * [backup-simplify]: Simplify (/ PI 1) into PI
1.029 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.030 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.030 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.030 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.030 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.031 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.032 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.033 * [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)))))
1.033 * [taylor]: Taking taylor expansion of (sqrt 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 (sqrt k) into (sqrt k)
1.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1.034 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1.034 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.034 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.034 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.034 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.034 * [taylor]: Taking taylor expansion of 1/2 in n
1.034 * [backup-simplify]: Simplify 1/2 into 1/2
1.034 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.034 * [taylor]: Taking taylor expansion of 1 in n
1.034 * [backup-simplify]: Simplify 1 into 1
1.034 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.034 * [taylor]: Taking taylor expansion of k in n
1.034 * [backup-simplify]: Simplify k into k
1.034 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.034 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.034 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.034 * [taylor]: Taking taylor expansion of 2 in n
1.034 * [backup-simplify]: Simplify 2 into 2
1.034 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.034 * [taylor]: Taking taylor expansion of PI in n
1.034 * [backup-simplify]: Simplify PI into PI
1.034 * [taylor]: Taking taylor expansion of n in n
1.034 * [backup-simplify]: Simplify 0 into 0
1.034 * [backup-simplify]: Simplify 1 into 1
1.035 * [backup-simplify]: Simplify (/ PI 1) into PI
1.035 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.036 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.036 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.036 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.036 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.038 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.039 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.040 * [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)))))
1.040 * [taylor]: Taking taylor expansion of (sqrt k) in n
1.040 * [taylor]: Taking taylor expansion of k in n
1.040 * [backup-simplify]: Simplify k into k
1.040 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1.041 * [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))
1.041 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
1.041 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1.041 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1.041 * [taylor]: Taking taylor expansion of 1/2 in k
1.041 * [backup-simplify]: Simplify 1/2 into 1/2
1.041 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1.042 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.042 * [taylor]: Taking taylor expansion of 1 in k
1.042 * [backup-simplify]: Simplify 1 into 1
1.042 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.042 * [taylor]: Taking taylor expansion of k in k
1.042 * [backup-simplify]: Simplify 0 into 0
1.042 * [backup-simplify]: Simplify 1 into 1
1.042 * [backup-simplify]: Simplify (/ 1 1) into 1
1.042 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1.042 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.042 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.042 * [taylor]: Taking taylor expansion of 2 in k
1.042 * [backup-simplify]: Simplify 2 into 2
1.042 * [taylor]: Taking taylor expansion of PI in k
1.042 * [backup-simplify]: Simplify PI into PI
1.043 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.044 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.044 * [taylor]: Taking taylor expansion of (log n) in k
1.044 * [taylor]: Taking taylor expansion of n in k
1.044 * [backup-simplify]: Simplify n into n
1.044 * [backup-simplify]: Simplify (log n) into (log n)
1.044 * [backup-simplify]: Simplify (- 1) into -1
1.044 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.044 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.045 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1.046 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1.046 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1.047 * [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)))))
1.047 * [taylor]: Taking taylor expansion of (sqrt k) in k
1.047 * [taylor]: Taking taylor expansion of k in k
1.047 * [backup-simplify]: Simplify 0 into 0
1.047 * [backup-simplify]: Simplify 1 into 1
1.047 * [backup-simplify]: Simplify (sqrt 0) into 0
1.048 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1.049 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
1.049 * [backup-simplify]: Simplify 0 into 0
1.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.050 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.051 * [backup-simplify]: Simplify (- 0) into 0
1.051 * [backup-simplify]: Simplify (+ 0 0) into 0
1.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1.052 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.053 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1.054 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.055 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
1.055 * [taylor]: Taking taylor expansion of 0 in k
1.055 * [backup-simplify]: Simplify 0 into 0
1.055 * [backup-simplify]: Simplify 0 into 0
1.056 * [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)))))))
1.057 * [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)))))))
1.057 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.058 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.060 * [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
1.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.060 * [backup-simplify]: Simplify (- 0) into 0
1.060 * [backup-simplify]: Simplify (+ 0 0) into 0
1.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1.062 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.063 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1.064 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.065 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
1.065 * [taylor]: Taking taylor expansion of 0 in k
1.065 * [backup-simplify]: Simplify 0 into 0
1.065 * [backup-simplify]: Simplify 0 into 0
1.065 * [backup-simplify]: Simplify 0 into 0
1.067 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.068 * [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)))))))
1.069 * [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)))))))
1.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.075 * [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
1.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.075 * [backup-simplify]: Simplify (- 0) into 0
1.076 * [backup-simplify]: Simplify (+ 0 0) into 0
1.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1.077 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.078 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1.080 * [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
1.081 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
1.081 * [taylor]: Taking taylor expansion of 0 in k
1.081 * [backup-simplify]: Simplify 0 into 0
1.081 * [backup-simplify]: Simplify 0 into 0
1.081 * [backup-simplify]: Simplify 0 into 0
1.081 * [backup-simplify]: Simplify 0 into 0
1.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1.084 * [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)))))))
1.085 * [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)))))))
1.087 * [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))))))))
1.088 * [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)))
1.088 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
1.088 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1.088 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1.088 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1.088 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1.088 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1.088 * [taylor]: Taking taylor expansion of 1/2 in k
1.088 * [backup-simplify]: Simplify 1/2 into 1/2
1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.088 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.088 * [taylor]: Taking taylor expansion of k in k
1.088 * [backup-simplify]: Simplify 0 into 0
1.088 * [backup-simplify]: Simplify 1 into 1
1.088 * [backup-simplify]: Simplify (/ 1 1) into 1
1.088 * [taylor]: Taking taylor expansion of 1 in k
1.088 * [backup-simplify]: Simplify 1 into 1
1.088 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1.088 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1.088 * [taylor]: Taking taylor expansion of -2 in k
1.088 * [backup-simplify]: Simplify -2 into -2
1.088 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.088 * [taylor]: Taking taylor expansion of PI in k
1.088 * [backup-simplify]: Simplify PI into PI
1.088 * [taylor]: Taking taylor expansion of n in k
1.088 * [backup-simplify]: Simplify n into n
1.089 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.089 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1.089 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1.089 * [backup-simplify]: Simplify (+ 1 0) into 1
1.089 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.089 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1.089 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1.089 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1.089 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1.089 * [taylor]: Taking taylor expansion of -1 in k
1.089 * [backup-simplify]: Simplify -1 into -1
1.089 * [taylor]: Taking taylor expansion of k in k
1.089 * [backup-simplify]: Simplify 0 into 0
1.089 * [backup-simplify]: Simplify 1 into 1
1.090 * [backup-simplify]: Simplify (/ -1 1) into -1
1.090 * [backup-simplify]: Simplify (sqrt 0) into 0
1.091 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1.091 * [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)))))
1.091 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1.091 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.091 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.091 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.091 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.091 * [taylor]: Taking taylor expansion of 1/2 in n
1.091 * [backup-simplify]: Simplify 1/2 into 1/2
1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.091 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.091 * [taylor]: Taking taylor expansion of k in n
1.091 * [backup-simplify]: Simplify k into k
1.091 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.091 * [taylor]: Taking taylor expansion of 1 in n
1.091 * [backup-simplify]: Simplify 1 into 1
1.091 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.091 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.091 * [taylor]: Taking taylor expansion of -2 in n
1.091 * [backup-simplify]: Simplify -2 into -2
1.091 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.091 * [taylor]: Taking taylor expansion of PI in n
1.091 * [backup-simplify]: Simplify PI into PI
1.091 * [taylor]: Taking taylor expansion of n in n
1.091 * [backup-simplify]: Simplify 0 into 0
1.091 * [backup-simplify]: Simplify 1 into 1
1.091 * [backup-simplify]: Simplify (/ PI 1) into PI
1.092 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.092 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.092 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.092 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.093 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.094 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1.095 * [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)))))
1.095 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1.095 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1.095 * [taylor]: Taking taylor expansion of -1 in n
1.095 * [backup-simplify]: Simplify -1 into -1
1.095 * [taylor]: Taking taylor expansion of k in n
1.095 * [backup-simplify]: Simplify k into k
1.095 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1.095 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1.095 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1.095 * [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)))
1.096 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1.096 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.096 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.096 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.096 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.096 * [taylor]: Taking taylor expansion of 1/2 in n
1.096 * [backup-simplify]: Simplify 1/2 into 1/2
1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.096 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.096 * [taylor]: Taking taylor expansion of k in n
1.096 * [backup-simplify]: Simplify k into k
1.096 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.096 * [taylor]: Taking taylor expansion of 1 in n
1.096 * [backup-simplify]: Simplify 1 into 1
1.096 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.096 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.096 * [taylor]: Taking taylor expansion of -2 in n
1.096 * [backup-simplify]: Simplify -2 into -2
1.096 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.096 * [taylor]: Taking taylor expansion of PI in n
1.096 * [backup-simplify]: Simplify PI into PI
1.096 * [taylor]: Taking taylor expansion of n in n
1.096 * [backup-simplify]: Simplify 0 into 0
1.096 * [backup-simplify]: Simplify 1 into 1
1.096 * [backup-simplify]: Simplify (/ PI 1) into PI
1.097 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.098 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.098 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.098 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.099 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.100 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1.101 * [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)))))
1.101 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1.101 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1.101 * [taylor]: Taking taylor expansion of -1 in n
1.101 * [backup-simplify]: Simplify -1 into -1
1.101 * [taylor]: Taking taylor expansion of k in n
1.101 * [backup-simplify]: Simplify k into k
1.101 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1.101 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1.102 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1.103 * [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)))
1.103 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
1.103 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1.103 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1.103 * [taylor]: Taking taylor expansion of 1/2 in k
1.103 * [backup-simplify]: Simplify 1/2 into 1/2
1.103 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.103 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.103 * [taylor]: Taking taylor expansion of k in k
1.103 * [backup-simplify]: Simplify 0 into 0
1.103 * [backup-simplify]: Simplify 1 into 1
1.103 * [backup-simplify]: Simplify (/ 1 1) into 1
1.104 * [taylor]: Taking taylor expansion of 1 in k
1.104 * [backup-simplify]: Simplify 1 into 1
1.104 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1.104 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1.104 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1.104 * [taylor]: Taking taylor expansion of -2 in k
1.104 * [backup-simplify]: Simplify -2 into -2
1.104 * [taylor]: Taking taylor expansion of PI in k
1.104 * [backup-simplify]: Simplify PI into PI
1.104 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.105 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.105 * [taylor]: Taking taylor expansion of (log n) in k
1.105 * [taylor]: Taking taylor expansion of n in k
1.105 * [backup-simplify]: Simplify n into n
1.106 * [backup-simplify]: Simplify (log n) into (log n)
1.106 * [backup-simplify]: Simplify (+ 1 0) into 1
1.106 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.107 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1.108 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1.109 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1.110 * [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)))))
1.110 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1.110 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1.110 * [taylor]: Taking taylor expansion of -1 in k
1.110 * [backup-simplify]: Simplify -1 into -1
1.110 * [taylor]: Taking taylor expansion of k in k
1.110 * [backup-simplify]: Simplify 0 into 0
1.110 * [backup-simplify]: Simplify 1 into 1
1.111 * [backup-simplify]: Simplify (/ -1 1) into -1
1.111 * [backup-simplify]: Simplify (sqrt 0) into 0
1.112 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1.113 * [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))))))
1.115 * [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))))))
1.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.116 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.119 * [backup-simplify]: Simplify (+ 0 0) into 0
1.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1.120 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.122 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1.124 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.125 * [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
1.125 * [taylor]: Taking taylor expansion of 0 in k
1.125 * [backup-simplify]: Simplify 0 into 0
1.125 * [backup-simplify]: Simplify 0 into 0
1.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.127 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1.128 * [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)))))))
1.129 * [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)))))))
1.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.130 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1.132 * [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
1.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.132 * [backup-simplify]: Simplify (+ 0 0) into 0
1.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.134 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1.136 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.136 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.136 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1.137 * [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
1.137 * [taylor]: Taking taylor expansion of 0 in k
1.137 * [backup-simplify]: Simplify 0 into 0
1.137 * [backup-simplify]: Simplify 0 into 0
1.137 * [backup-simplify]: Simplify 0 into 0
1.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1.142 * [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)))))))
1.143 * [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)))))))
1.145 * [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))))))))))))
1.145 * * * [progress]: simplifying candidates
1.145 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) (sqrt k)))>
1.146 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))
1.146 * * [simplify]: iters left: 6 (13 enodes)
1.150 * * [simplify]: iters left: 5 (54 enodes)
1.158 * * [simplify]: iters left: 4 (97 enodes)
1.198 * * [simplify]: iters left: 3 (242 enodes)
1.287 * * [simplify]: Extracting #0: cost 1 inf + 0
1.287 * * [simplify]: Extracting #1: cost 28 inf + 0
1.288 * * [simplify]: Extracting #2: cost 93 inf + 2
1.288 * * [simplify]: Extracting #3: cost 139 inf + 75
1.289 * * [simplify]: Extracting #4: cost 102 inf + 5195
1.298 * * [simplify]: Extracting #5: cost 14 inf + 28777
1.310 * * [simplify]: Extracting #6: cost 0 inf + 33789
1.323 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)
1.323 * [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)))
1.323 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1.323 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))
1.323 * * [simplify]: iters left: 6 (12 enodes)
1.330 * * [simplify]: iters left: 5 (52 enodes)
1.348 * * [simplify]: iters left: 4 (90 enodes)
1.378 * * [simplify]: iters left: 3 (201 enodes)
1.439 * * [simplify]: iters left: 2 (496 enodes)
1.702 * * [simplify]: Extracting #0: cost 1 inf + 0
1.702 * * [simplify]: Extracting #1: cost 22 inf + 0
1.703 * * [simplify]: Extracting #2: cost 122 inf + 2
1.704 * * [simplify]: Extracting #3: cost 296 inf + 186
1.705 * * [simplify]: Extracting #4: cost 252 inf + 7310
1.721 * * [simplify]: Extracting #5: cost 66 inf + 59079
1.752 * * [simplify]: Extracting #6: cost 1 inf + 82178
1.780 * * [simplify]: Extracting #7: cost 0 inf + 82436
1.796 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)
1.796 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k)))
1.797 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
1.797 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
1.797 * * [simplify]: iters left: 6 (11 enodes)
1.800 * * [simplify]: iters left: 5 (51 enodes)
1.812 * * [simplify]: iters left: 4 (97 enodes)
1.845 * * [simplify]: iters left: 3 (197 enodes)
1.923 * * [simplify]: iters left: 2 (491 enodes)
2.199 * * [simplify]: Extracting #0: cost 1 inf + 0
2.199 * * [simplify]: Extracting #1: cost 27 inf + 0
2.200 * * [simplify]: Extracting #2: cost 139 inf + 2
2.201 * * [simplify]: Extracting #3: cost 300 inf + 382
2.206 * * [simplify]: Extracting #4: cost 242 inf + 10228
2.226 * * [simplify]: Extracting #5: cost 53 inf + 57829
2.258 * * [simplify]: Extracting #6: cost 2 inf + 73504
2.291 * * [simplify]: Extracting #7: cost 0 inf + 74187
2.306 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)
2.306 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k)))
2.306 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
2.306 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.306 * [simplify]: Simplifying (* n (* 2 PI))
2.306 * * [simplify]: iters left: 4 (5 enodes)
2.308 * * [simplify]: iters left: 3 (19 enodes)
2.311 * * [simplify]: iters left: 2 (27 enodes)
2.315 * * [simplify]: iters left: 1 (32 enodes)
2.319 * * [simplify]: Extracting #0: cost 1 inf + 0
2.319 * * [simplify]: Extracting #1: cost 8 inf + 0
2.319 * * [simplify]: Extracting #2: cost 7 inf + 45
2.319 * * [simplify]: Extracting #3: cost 0 inf + 421
2.319 * [simplify]: Simplified to (* (* PI 2) n)
2.319 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
2.319 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.319 * [simplify]: Simplifying (* n (* 2 PI))
2.319 * * [simplify]: iters left: 4 (5 enodes)
2.321 * * [simplify]: iters left: 3 (19 enodes)
2.323 * * [simplify]: iters left: 2 (27 enodes)
2.330 * * [simplify]: iters left: 1 (32 enodes)
2.338 * * [simplify]: Extracting #0: cost 1 inf + 0
2.338 * * [simplify]: Extracting #1: cost 8 inf + 0
2.338 * * [simplify]: Extracting #2: cost 7 inf + 45
2.338 * * [simplify]: Extracting #3: cost 0 inf + 421
2.339 * [simplify]: Simplified to (* (* PI 2) n)
2.339 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
2.339 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
2.339 * [simplify]: Simplifying (* n (* 2 PI))
2.339 * * [simplify]: iters left: 4 (5 enodes)
2.342 * * [simplify]: iters left: 3 (19 enodes)
2.348 * * [simplify]: iters left: 2 (27 enodes)
2.356 * * [simplify]: iters left: 1 (32 enodes)
2.364 * * [simplify]: Extracting #0: cost 1 inf + 0
2.364 * * [simplify]: Extracting #1: cost 8 inf + 0
2.364 * * [simplify]: Extracting #2: cost 7 inf + 45
2.364 * * [simplify]: Extracting #3: cost 0 inf + 421
2.364 * [simplify]: Simplified to (* (* PI 2) n)
2.364 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k)))
2.365 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
2.365 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2))
2.365 * * [simplify]: iters left: 5 (8 enodes)
2.369 * * [simplify]: iters left: 4 (31 enodes)
2.379 * * [simplify]: iters left: 3 (51 enodes)
2.396 * * [simplify]: iters left: 2 (85 enodes)
2.425 * * [simplify]: iters left: 1 (152 enodes)
2.454 * * [simplify]: Extracting #0: cost 1 inf + 0
2.454 * * [simplify]: Extracting #1: cost 13 inf + 0
2.454 * * [simplify]: Extracting #2: cost 59 inf + 1
2.454 * * [simplify]: Extracting #3: cost 76 inf + 9
2.455 * * [simplify]: Extracting #4: cost 41 inf + 3303
2.456 * * [simplify]: Extracting #5: cost 16 inf + 10676
2.459 * * [simplify]: Extracting #6: cost 0 inf + 21028
2.463 * * [simplify]: Extracting #7: cost 0 inf + 20456
2.468 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
2.468 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
2.469 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))>
2.469 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2))
2.469 * * [simplify]: iters left: 5 (6 enodes)
2.473 * * [simplify]: iters left: 4 (26 enodes)
2.479 * * [simplify]: iters left: 3 (35 enodes)
2.484 * * [simplify]: Extracting #0: cost 1 inf + 0
2.484 * * [simplify]: Extracting #1: cost 3 inf + 0
2.484 * * [simplify]: Extracting #2: cost 8 inf + 0
2.484 * * [simplify]: Extracting #3: cost 11 inf + 2
2.485 * * [simplify]: Extracting #4: cost 8 inf + 87
2.485 * * [simplify]: Extracting #5: cost 2 inf + 500
2.485 * * [simplify]: Extracting #6: cost 0 inf + 746
2.485 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2))
2.485 * [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)))
2.485 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))>
2.485 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2))
2.485 * * [simplify]: iters left: 5 (6 enodes)
2.489 * * [simplify]: iters left: 4 (26 enodes)
2.493 * * [simplify]: iters left: 3 (35 enodes)
2.498 * * [simplify]: Extracting #0: cost 1 inf + 0
2.499 * * [simplify]: Extracting #1: cost 3 inf + 0
2.499 * * [simplify]: Extracting #2: cost 8 inf + 0
2.499 * * [simplify]: Extracting #3: cost 11 inf + 2
2.499 * * [simplify]: Extracting #4: cost 8 inf + 87
2.499 * * [simplify]: Extracting #5: cost 2 inf + 460
2.499 * * [simplify]: Extracting #6: cost 0 inf + 666
2.499 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2))
2.499 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))
2.499 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k)))>
2.499 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2))
2.500 * * [simplify]: iters left: 5 (7 enodes)
2.502 * * [simplify]: iters left: 4 (25 enodes)
2.507 * * [simplify]: iters left: 3 (30 enodes)
2.515 * * [simplify]: Extracting #0: cost 1 inf + 0
2.515 * * [simplify]: Extracting #1: cost 4 inf + 0
2.516 * * [simplify]: Extracting #2: cost 8 inf + 0
2.516 * * [simplify]: Extracting #3: cost 10 inf + 82
2.516 * * [simplify]: Extracting #4: cost 7 inf + 206
2.516 * * [simplify]: Extracting #5: cost 2 inf + 575
2.516 * * [simplify]: Extracting #6: cost 1 inf + 818
2.517 * * [simplify]: Extracting #7: cost 0 inf + 1061
2.517 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2))
2.517 * [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)))
2.517 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))>
2.517 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2))
2.517 * * [simplify]: iters left: 5 (7 enodes)
2.521 * * [simplify]: iters left: 4 (25 enodes)
2.525 * * [simplify]: iters left: 3 (30 enodes)
2.529 * * [simplify]: Extracting #0: cost 1 inf + 0
2.529 * * [simplify]: Extracting #1: cost 4 inf + 0
2.529 * * [simplify]: Extracting #2: cost 8 inf + 0
2.530 * * [simplify]: Extracting #3: cost 10 inf + 42
2.530 * * [simplify]: Extracting #4: cost 7 inf + 126
2.530 * * [simplify]: Extracting #5: cost 2 inf + 495
2.530 * * [simplify]: Extracting #6: cost 1 inf + 698
2.530 * * [simplify]: Extracting #7: cost 0 inf + 901
2.530 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2))
2.530 * [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)))
2.530 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k)))>
2.530 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2)
2.531 * * [simplify]: iters left: 5 (6 enodes)
2.532 * * [simplify]: iters left: 4 (22 enodes)
2.536 * * [simplify]: iters left: 3 (27 enodes)
2.540 * * [simplify]: Extracting #0: cost 1 inf + 0
2.540 * * [simplify]: Extracting #1: cost 4 inf + 0
2.540 * * [simplify]: Extracting #2: cost 5 inf + 1
2.540 * * [simplify]: Extracting #3: cost 9 inf + 1
2.540 * * [simplify]: Extracting #4: cost 8 inf + 3
2.540 * * [simplify]: Extracting #5: cost 4 inf + 169
2.540 * * [simplify]: Extracting #6: cost 1 inf + 576
2.541 * * [simplify]: Extracting #7: cost 0 inf + 739
2.541 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
2.541 * [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)))
2.541 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))>
2.541 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2))
2.541 * * [simplify]: iters left: 5 (7 enodes)
2.543 * * [simplify]: iters left: 4 (25 enodes)
2.547 * * [simplify]: iters left: 3 (30 enodes)
2.555 * * [simplify]: Extracting #0: cost 1 inf + 0
2.555 * * [simplify]: Extracting #1: cost 4 inf + 0
2.555 * * [simplify]: Extracting #2: cost 8 inf + 0
2.555 * * [simplify]: Extracting #3: cost 10 inf + 82
2.555 * * [simplify]: Extracting #4: cost 7 inf + 206
2.556 * * [simplify]: Extracting #5: cost 2 inf + 495
2.556 * * [simplify]: Extracting #6: cost 1 inf + 698
2.556 * * [simplify]: Extracting #7: cost 0 inf + 901
2.557 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2))
2.557 * [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)))
2.557 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))>
2.557 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2))
2.557 * * [simplify]: iters left: 5 (7 enodes)
2.561 * * [simplify]: iters left: 4 (25 enodes)
2.567 * * [simplify]: iters left: 3 (30 enodes)
2.572 * * [simplify]: Extracting #0: cost 1 inf + 0
2.572 * * [simplify]: Extracting #1: cost 4 inf + 0
2.572 * * [simplify]: Extracting #2: cost 8 inf + 0
2.572 * * [simplify]: Extracting #3: cost 10 inf + 42
2.572 * * [simplify]: Extracting #4: cost 7 inf + 126
2.572 * * [simplify]: Extracting #5: cost 2 inf + 415
2.572 * * [simplify]: Extracting #6: cost 1 inf + 578
2.572 * * [simplify]: Extracting #7: cost 0 inf + 741
2.572 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2))
2.572 * [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)))
2.573 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))>
2.573 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2)
2.573 * * [simplify]: iters left: 5 (6 enodes)
2.575 * * [simplify]: iters left: 4 (22 enodes)
2.578 * * [simplify]: iters left: 3 (27 enodes)
2.584 * * [simplify]: Extracting #0: cost 1 inf + 0
2.584 * * [simplify]: Extracting #1: cost 4 inf + 0
2.584 * * [simplify]: Extracting #2: cost 5 inf + 1
2.584 * * [simplify]: Extracting #3: cost 9 inf + 1
2.584 * * [simplify]: Extracting #4: cost 8 inf + 3
2.584 * * [simplify]: Extracting #5: cost 4 inf + 169
2.584 * * [simplify]: Extracting #6: cost 1 inf + 456
2.584 * * [simplify]: Extracting #7: cost 0 inf + 579
2.585 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
2.585 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))
2.585 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.585 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
2.585 * * [simplify]: iters left: 4 (6 enodes)
2.587 * * [simplify]: iters left: 3 (25 enodes)
2.591 * * [simplify]: iters left: 2 (36 enodes)
2.597 * * [simplify]: iters left: 1 (40 enodes)
2.602 * * [simplify]: Extracting #0: cost 1 inf + 0
2.602 * * [simplify]: Extracting #1: cost 7 inf + 0
2.602 * * [simplify]: Extracting #2: cost 16 inf + 0
2.602 * * [simplify]: Extracting #3: cost 13 inf + 44
2.602 * * [simplify]: Extracting #4: cost 3 inf + 1103
2.603 * * [simplify]: Extracting #5: cost 0 inf + 1469
2.603 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
2.603 * [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)))
2.603 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.603 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
2.603 * * [simplify]: iters left: 4 (6 enodes)
2.605 * * [simplify]: iters left: 3 (25 enodes)
2.609 * * [simplify]: iters left: 2 (36 enodes)
2.615 * * [simplify]: iters left: 1 (40 enodes)
2.620 * * [simplify]: Extracting #0: cost 1 inf + 0
2.620 * * [simplify]: Extracting #1: cost 7 inf + 0
2.620 * * [simplify]: Extracting #2: cost 16 inf + 0
2.621 * * [simplify]: Extracting #3: cost 13 inf + 44
2.621 * * [simplify]: Extracting #4: cost 3 inf + 823
2.621 * * [simplify]: Extracting #5: cost 0 inf + 1069
2.621 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
2.621 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))
2.621 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.621 * [simplify]: Simplifying (/ (- 1 k) 2)
2.622 * * [simplify]: iters left: 4 (5 enodes)
2.624 * * [simplify]: iters left: 3 (23 enodes)
2.628 * * [simplify]: iters left: 2 (32 enodes)
2.632 * * [simplify]: Extracting #0: cost 1 inf + 0
2.633 * * [simplify]: Extracting #1: cost 6 inf + 0
2.633 * * [simplify]: Extracting #2: cost 9 inf + 2
2.633 * * [simplify]: Extracting #3: cost 6 inf + 87
2.633 * * [simplify]: Extracting #4: cost 0 inf + 420
2.633 * [simplify]: Simplified to (/ (- 1 k) 2)
2.633 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))
2.633 * * * * [progress]: [ 20 / 127 ] 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)))>
2.633 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2))
2.633 * * [simplify]: iters left: 5 (8 enodes)
2.636 * * [simplify]: iters left: 4 (31 enodes)
2.642 * * [simplify]: iters left: 3 (45 enodes)
2.656 * * [simplify]: iters left: 2 (51 enodes)
2.669 * * [simplify]: iters left: 1 (52 enodes)
2.680 * * [simplify]: Extracting #0: cost 1 inf + 0
2.680 * * [simplify]: Extracting #1: cost 8 inf + 0
2.680 * * [simplify]: Extracting #2: cost 18 inf + 0
2.680 * * [simplify]: Extracting #3: cost 19 inf + 2
2.680 * * [simplify]: Extracting #4: cost 9 inf + 977
2.680 * * [simplify]: Extracting #5: cost 2 inf + 1790
2.680 * * [simplify]: Extracting #6: cost 0 inf + 2195
2.681 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
2.681 * [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)))
2.681 * * * * [progress]: [ 21 / 127 ] 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)))>
2.681 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2))
2.681 * * [simplify]: iters left: 5 (8 enodes)
2.684 * * [simplify]: iters left: 4 (31 enodes)
2.689 * * [simplify]: iters left: 3 (45 enodes)
2.695 * * [simplify]: iters left: 2 (51 enodes)
2.702 * * [simplify]: iters left: 1 (52 enodes)
2.709 * * [simplify]: Extracting #0: cost 1 inf + 0
2.709 * * [simplify]: Extracting #1: cost 8 inf + 0
2.709 * * [simplify]: Extracting #2: cost 18 inf + 0
2.709 * * [simplify]: Extracting #3: cost 19 inf + 2
2.709 * * [simplify]: Extracting #4: cost 9 inf + 697
2.710 * * [simplify]: Extracting #5: cost 2 inf + 1390
2.710 * * [simplify]: Extracting #6: cost 0 inf + 1715
2.711 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
2.711 * [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)))
2.711 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k)))>
2.712 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2)
2.712 * * [simplify]: iters left: 5 (7 enodes)
2.717 * * [simplify]: iters left: 4 (29 enodes)
2.726 * * [simplify]: iters left: 3 (43 enodes)
2.733 * * [simplify]: iters left: 2 (47 enodes)
2.739 * * [simplify]: Extracting #0: cost 1 inf + 0
2.739 * * [simplify]: Extracting #1: cost 7 inf + 0
2.739 * * [simplify]: Extracting #2: cost 11 inf + 2
2.739 * * [simplify]: Extracting #3: cost 13 inf + 3
2.739 * * [simplify]: Extracting #4: cost 11 inf + 45
2.739 * * [simplify]: Extracting #5: cost 0 inf + 1066
2.739 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
2.739 * [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)))
2.739 * * * * [progress]: [ 23 / 127 ] 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)))>
2.740 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2))
2.740 * * [simplify]: iters left: 5 (7 enodes)
2.742 * * [simplify]: iters left: 4 (28 enodes)
2.747 * * [simplify]: iters left: 3 (39 enodes)
2.753 * * [simplify]: iters left: 2 (43 enodes)
2.759 * * [simplify]: Extracting #0: cost 1 inf + 0
2.759 * * [simplify]: Extracting #1: cost 7 inf + 0
2.759 * * [simplify]: Extracting #2: cost 16 inf + 0
2.759 * * [simplify]: Extracting #3: cost 15 inf + 164
2.759 * * [simplify]: Extracting #4: cost 13 inf + 287
2.760 * * [simplify]: Extracting #5: cost 5 inf + 1180
2.760 * * [simplify]: Extracting #6: cost 0 inf + 1951
2.760 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2))
2.760 * [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)))
2.760 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))>
2.761 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2))
2.761 * * [simplify]: iters left: 5 (7 enodes)
2.765 * * [simplify]: iters left: 4 (28 enodes)
2.776 * * [simplify]: iters left: 3 (39 enodes)
2.788 * * [simplify]: iters left: 2 (43 enodes)
2.800 * * [simplify]: Extracting #0: cost 1 inf + 0
2.800 * * [simplify]: Extracting #1: cost 7 inf + 0
2.800 * * [simplify]: Extracting #2: cost 16 inf + 0
2.800 * * [simplify]: Extracting #3: cost 15 inf + 84
2.800 * * [simplify]: Extracting #4: cost 13 inf + 167
2.801 * * [simplify]: Extracting #5: cost 5 inf + 900
2.801 * * [simplify]: Extracting #6: cost 0 inf + 1551
2.802 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2))
2.802 * [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)))
2.802 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>
2.802 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2)
2.803 * * [simplify]: iters left: 5 (6 enodes)
2.806 * * [simplify]: iters left: 4 (26 enodes)
2.816 * * [simplify]: iters left: 3 (35 enodes)
2.826 * * [simplify]: Extracting #0: cost 1 inf + 0
2.826 * * [simplify]: Extracting #1: cost 6 inf + 0
2.826 * * [simplify]: Extracting #2: cost 9 inf + 2
2.826 * * [simplify]: Extracting #3: cost 11 inf + 3
2.826 * * [simplify]: Extracting #4: cost 10 inf + 4
2.826 * * [simplify]: Extracting #5: cost 3 inf + 535
2.826 * * [simplify]: Extracting #6: cost 0 inf + 822
2.827 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
2.827 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))
2.827 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
2.827 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2))
2.827 * * [simplify]: iters left: 4 (6 enodes)
2.831 * * [simplify]: iters left: 3 (25 enodes)
2.840 * * [simplify]: iters left: 2 (36 enodes)
2.848 * * [simplify]: iters left: 1 (40 enodes)
2.854 * * [simplify]: Extracting #0: cost 1 inf + 0
2.854 * * [simplify]: Extracting #1: cost 7 inf + 0
2.854 * * [simplify]: Extracting #2: cost 16 inf + 0
2.854 * * [simplify]: Extracting #3: cost 13 inf + 44
2.854 * * [simplify]: Extracting #4: cost 3 inf + 1103
2.854 * * [simplify]: Extracting #5: cost 0 inf + 1469
2.855 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2))
2.855 * [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)))
2.855 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
2.855 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2))
2.855 * * [simplify]: iters left: 4 (6 enodes)
2.857 * * [simplify]: iters left: 3 (25 enodes)
2.861 * * [simplify]: iters left: 2 (36 enodes)
2.867 * * [simplify]: iters left: 1 (40 enodes)
2.872 * * [simplify]: Extracting #0: cost 1 inf + 0
2.872 * * [simplify]: Extracting #1: cost 7 inf + 0
2.873 * * [simplify]: Extracting #2: cost 16 inf + 0
2.873 * * [simplify]: Extracting #3: cost 13 inf + 44
2.873 * * [simplify]: Extracting #4: cost 3 inf + 823
2.873 * * [simplify]: Extracting #5: cost 0 inf + 1069
2.873 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2))
2.873 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))
2.873 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
2.874 * [simplify]: Simplifying (/ (- 1 k) 2)
2.874 * * [simplify]: iters left: 4 (5 enodes)
2.876 * * [simplify]: iters left: 3 (23 enodes)
2.879 * * [simplify]: iters left: 2 (32 enodes)
2.884 * * [simplify]: Extracting #0: cost 1 inf + 0
2.884 * * [simplify]: Extracting #1: cost 6 inf + 0
2.884 * * [simplify]: Extracting #2: cost 9 inf + 2
2.884 * * [simplify]: Extracting #3: cost 6 inf + 87
2.884 * * [simplify]: Extracting #4: cost 0 inf + 420
2.884 * [simplify]: Simplified to (/ (- 1 k) 2)
2.884 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))
2.884 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
2.885 * [simplify]: Simplifying (/ (- 1 k) 2)
2.885 * * [simplify]: iters left: 4 (5 enodes)
2.888 * * [simplify]: iters left: 3 (23 enodes)
2.892 * * [simplify]: iters left: 2 (32 enodes)
2.898 * * [simplify]: Extracting #0: cost 1 inf + 0
2.898 * * [simplify]: Extracting #1: cost 6 inf + 0
2.898 * * [simplify]: Extracting #2: cost 9 inf + 2
2.898 * * [simplify]: Extracting #3: cost 6 inf + 87
2.898 * * [simplify]: Extracting #4: cost 0 inf + 420
2.898 * [simplify]: Simplified to (/ (- 1 k) 2)
2.898 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))
2.899 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)) (sqrt k)))>
2.899 * [simplify]: Simplifying (/ 1 2)
2.899 * * [simplify]: iters left: 2 (3 enodes)
2.902 * * [simplify]: iters left: 1 (12 enodes)
2.907 * * [simplify]: Extracting #0: cost 1 inf + 0
2.907 * * [simplify]: Extracting #1: cost 0 inf + 1
2.907 * [simplify]: Simplified to 1/2
2.907 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k)))
2.907 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))>
2.907 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
2.907 * * [simplify]: iters left: 5 (7 enodes)
2.912 * * [simplify]: iters left: 4 (32 enodes)
2.924 * * [simplify]: iters left: 3 (57 enodes)
2.942 * * [simplify]: iters left: 2 (88 enodes)
2.973 * * [simplify]: iters left: 1 (156 enodes)
3.041 * * [simplify]: Extracting #0: cost 1 inf + 0
3.041 * * [simplify]: Extracting #1: cost 13 inf + 0
3.041 * * [simplify]: Extracting #2: cost 49 inf + 2
3.042 * * [simplify]: Extracting #3: cost 80 inf + 6
3.043 * * [simplify]: Extracting #4: cost 58 inf + 1840
3.046 * * [simplify]: Extracting #5: cost 22 inf + 9206
3.052 * * [simplify]: Extracting #6: cost 1 inf + 20886
3.055 * * [simplify]: Extracting #7: cost 0 inf + 21301
3.058 * * [simplify]: Extracting #8: cost 0 inf + 21130
3.061 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
3.061 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))
3.061 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
3.061 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
3.061 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
3.061 * * * * [progress]: [ 35 / 127 ] 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)))>
3.061 * * * * [progress]: [ 36 / 127 ] 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)))>
3.061 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
3.061 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))>
3.061 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
3.062 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
3.062 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
3.062 * [simplify]: Simplifying (* n (* 2 PI))
3.062 * * [simplify]: iters left: 4 (5 enodes)
3.063 * * [simplify]: iters left: 3 (19 enodes)
3.066 * * [simplify]: iters left: 2 (27 enodes)
3.070 * * [simplify]: iters left: 1 (32 enodes)
3.074 * * [simplify]: Extracting #0: cost 1 inf + 0
3.074 * * [simplify]: Extracting #1: cost 8 inf + 0
3.074 * * [simplify]: Extracting #2: cost 7 inf + 45
3.074 * * [simplify]: Extracting #3: cost 0 inf + 421
3.074 * [simplify]: Simplified to (* (* PI 2) n)
3.075 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))
3.075 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
3.075 * [simplify]: Simplifying (* n (* 2 PI))
3.075 * * [simplify]: iters left: 4 (5 enodes)
3.076 * * [simplify]: iters left: 3 (19 enodes)
3.079 * * [simplify]: iters left: 2 (27 enodes)
3.085 * * [simplify]: iters left: 1 (32 enodes)
3.093 * * [simplify]: Extracting #0: cost 1 inf + 0
3.093 * * [simplify]: Extracting #1: cost 8 inf + 0
3.094 * * [simplify]: Extracting #2: cost 7 inf + 45
3.094 * * [simplify]: Extracting #3: cost 0 inf + 421
3.094 * [simplify]: Simplified to (* (* PI 2) n)
3.094 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k)))
3.094 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
3.094 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))>
3.095 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
3.095 * * [simplify]: iters left: 5 (8 enodes)
3.099 * * [simplify]: iters left: 4 (28 enodes)
3.108 * * [simplify]: iters left: 3 (36 enodes)
3.119 * * [simplify]: iters left: 2 (42 enodes)
3.130 * * [simplify]: Extracting #0: cost 1 inf + 0
3.130 * * [simplify]: Extracting #1: cost 8 inf + 0
3.130 * * [simplify]: Extracting #2: cost 17 inf + 0
3.130 * * [simplify]: Extracting #3: cost 12 inf + 145
3.130 * * [simplify]: Extracting #4: cost 5 inf + 1197
3.131 * * [simplify]: Extracting #5: cost 1 inf + 1925
3.131 * * [simplify]: Extracting #6: cost 0 inf + 2107
3.132 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
3.132 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))
3.132 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
3.132 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
3.133 * * [simplify]: iters left: 5 (7 enodes)
3.136 * * [simplify]: iters left: 4 (26 enodes)
3.144 * * [simplify]: iters left: 3 (35 enodes)
3.153 * * [simplify]: iters left: 2 (44 enodes)
3.167 * * [simplify]: Extracting #0: cost 1 inf + 0
3.167 * * [simplify]: Extracting #1: cost 8 inf + 0
3.167 * * [simplify]: Extracting #2: cost 18 inf + 0
3.167 * * [simplify]: Extracting #3: cost 15 inf + 74
3.167 * * [simplify]: Extracting #4: cost 8 inf + 554
3.168 * * [simplify]: Extracting #5: cost 0 inf + 1911
3.168 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
3.169 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))
3.169 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
3.169 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
3.169 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)) (sqrt k)))>
3.169 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
3.169 * * [simplify]: iters left: 6 (11 enodes)
3.177 * * [simplify]: iters left: 5 (48 enodes)
3.195 * * [simplify]: iters left: 4 (121 enodes)
3.251 * * [simplify]: iters left: 3 (348 enodes)
3.830 * * [simplify]: Extracting #0: cost 1 inf + 0
3.830 * * [simplify]: Extracting #1: cost 67 inf + 0
3.832 * * [simplify]: Extracting #2: cost 165 inf + 786
3.837 * * [simplify]: Extracting #3: cost 85 inf + 10177
3.849 * * [simplify]: Extracting #4: cost 9 inf + 26399
3.860 * * [simplify]: Extracting #5: cost 0 inf + 28546
3.867 * * [simplify]: Extracting #6: cost 0 inf + 28506
3.873 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
3.873 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k)))
3.873 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
3.873 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
3.874 * * [simplify]: iters left: 6 (9 enodes)
3.876 * * [simplify]: iters left: 5 (45 enodes)
3.885 * * [simplify]: iters left: 4 (117 enodes)
3.936 * * [simplify]: iters left: 3 (374 enodes)
4.221 * * [simplify]: Extracting #0: cost 1 inf + 0
4.221 * * [simplify]: Extracting #1: cost 77 inf + 0
4.223 * * [simplify]: Extracting #2: cost 184 inf + 984
4.229 * * [simplify]: Extracting #3: cost 106 inf + 11690
4.238 * * [simplify]: Extracting #4: cost 6 inf + 30376
4.247 * * [simplify]: Extracting #5: cost 0 inf + 31644
4.256 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
4.256 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k)))
4.257 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
4.257 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
4.257 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
4.257 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
4.257 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))>
4.258 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
4.258 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
4.258 * * [simplify]: iters left: 3 (3 enodes)
4.259 * * [simplify]: iters left: 2 (9 enodes)
4.262 * * [simplify]: Extracting #0: cost 1 inf + 0
4.262 * * [simplify]: Extracting #1: cost 3 inf + 0
4.262 * * [simplify]: Extracting #2: cost 5 inf + 0
4.262 * * [simplify]: Extracting #3: cost 4 inf + 1
4.262 * * [simplify]: Extracting #4: cost 0 inf + 405
4.262 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
4.262 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))
4.262 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
4.263 * [simplify]: Simplifying (sqrt n)
4.263 * * [simplify]: iters left: 1 (2 enodes)
4.264 * * [simplify]: Extracting #0: cost 1 inf + 0
4.264 * * [simplify]: Extracting #1: cost 3 inf + 0
4.264 * * [simplify]: Extracting #2: cost 2 inf + 1
4.264 * * [simplify]: Extracting #3: cost 0 inf + 83
4.264 * [simplify]: Simplified to (sqrt n)
4.264 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))
4.264 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
4.264 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
4.264 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))>
4.265 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 1))>
4.265 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
4.265 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))
4.265 * * [simplify]: iters left: 6 (16 enodes)
4.274 * * [simplify]: iters left: 5 (65 enodes)
4.300 * * [simplify]: iters left: 4 (111 enodes)
4.343 * * [simplify]: iters left: 3 (294 enodes)
4.456 * * [simplify]: Extracting #0: cost 1 inf + 0
4.456 * * [simplify]: Extracting #1: cost 32 inf + 0
4.456 * * [simplify]: Extracting #2: cost 82 inf + 0
4.457 * * [simplify]: Extracting #3: cost 145 inf + 73
4.458 * * [simplify]: Extracting #4: cost 158 inf + 1797
4.466 * * [simplify]: Extracting #5: cost 56 inf + 27690
4.483 * * [simplify]: Extracting #6: cost 4 inf + 45043
4.500 * * [simplify]: Extracting #7: cost 0 inf + 46559
4.516 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k)))
4.516 * [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)))))
4.517 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
4.517 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
4.517 * * [simplify]: iters left: 6 (15 enodes)
4.521 * * [simplify]: iters left: 5 (63 enodes)
4.532 * * [simplify]: iters left: 4 (104 enodes)
4.550 * * [simplify]: iters left: 3 (238 enodes)
4.615 * * [simplify]: Extracting #0: cost 1 inf + 0
4.616 * * [simplify]: Extracting #1: cost 30 inf + 0
4.616 * * [simplify]: Extracting #2: cost 78 inf + 0
4.617 * * [simplify]: Extracting #3: cost 131 inf + 73
4.618 * * [simplify]: Extracting #4: cost 147 inf + 821
4.622 * * [simplify]: Extracting #5: cost 71 inf + 15644
4.634 * * [simplify]: Extracting #6: cost 4 inf + 36895
4.641 * * [simplify]: Extracting #7: cost 0 inf + 38761
4.649 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))
4.649 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k)))))
4.649 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
4.649 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
4.649 * * [simplify]: iters left: 6 (14 enodes)
4.653 * * [simplify]: iters left: 5 (62 enodes)
4.673 * * [simplify]: iters left: 4 (111 enodes)
4.710 * * [simplify]: iters left: 3 (223 enodes)
4.774 * * [simplify]: Extracting #0: cost 1 inf + 0
4.775 * * [simplify]: Extracting #1: cost 19 inf + 0
4.775 * * [simplify]: Extracting #2: cost 67 inf + 0
4.776 * * [simplify]: Extracting #3: cost 123 inf + 2
4.777 * * [simplify]: Extracting #4: cost 139 inf + 1713
4.784 * * [simplify]: Extracting #5: cost 32 inf + 23885
4.797 * * [simplify]: Extracting #6: cost 0 inf + 31232
4.808 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
4.809 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
4.809 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
4.809 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
4.809 * * [simplify]: iters left: 6 (14 enodes)
4.817 * * [simplify]: iters left: 5 (62 enodes)
4.838 * * [simplify]: iters left: 4 (111 enodes)
4.874 * * [simplify]: iters left: 3 (223 enodes)
4.930 * * [simplify]: Extracting #0: cost 1 inf + 0
4.930 * * [simplify]: Extracting #1: cost 19 inf + 0
4.931 * * [simplify]: Extracting #2: cost 67 inf + 0
4.931 * * [simplify]: Extracting #3: cost 123 inf + 2
4.932 * * [simplify]: Extracting #4: cost 139 inf + 1713
4.935 * * [simplify]: Extracting #5: cost 32 inf + 23885
4.941 * * [simplify]: Extracting #6: cost 0 inf + 31232
4.948 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))
4.948 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k)))))
4.948 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))))>
4.948 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))
4.948 * * [simplify]: iters left: 6 (14 enodes)
4.955 * * [simplify]: iters left: 5 (61 enodes)
4.975 * * [simplify]: iters left: 4 (111 enodes)
5.011 * * [simplify]: iters left: 3 (218 enodes)
5.053 * * [simplify]: Extracting #0: cost 1 inf + 0
5.054 * * [simplify]: Extracting #1: cost 20 inf + 0
5.054 * * [simplify]: Extracting #2: cost 94 inf + 0
5.054 * * [simplify]: Extracting #3: cost 167 inf + 2
5.055 * * [simplify]: Extracting #4: cost 164 inf + 1228
5.057 * * [simplify]: Extracting #5: cost 76 inf + 17725
5.065 * * [simplify]: Extracting #6: cost 9 inf + 35809
5.072 * * [simplify]: Extracting #7: cost 0 inf + 40227
5.079 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))
5.079 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k)))))
5.079 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
5.079 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
5.079 * * * * [progress]: [ 68 / 127 ] 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)))))>
5.079 * [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)))
5.079 * * [simplify]: iters left: 6 (16 enodes)
5.084 * * [simplify]: iters left: 5 (72 enodes)
5.096 * * [simplify]: iters left: 4 (165 enodes)
5.137 * * [simplify]: iters left: 3 (474 enodes)
5.373 * * [simplify]: Extracting #0: cost 1 inf + 0
5.373 * * [simplify]: Extracting #1: cost 172 inf + 0
5.375 * * [simplify]: Extracting #2: cost 449 inf + 1
5.377 * * [simplify]: Extracting #3: cost 500 inf + 248
5.379 * * [simplify]: Extracting #4: cost 476 inf + 4785
5.389 * * [simplify]: Extracting #5: cost 302 inf + 101232
5.438 * * [simplify]: Extracting #6: cost 26 inf + 307299
5.496 * * [simplify]: Extracting #7: cost 0 inf + 323493
5.564 * * [simplify]: Extracting #8: cost 0 inf + 323103
5.630 * [simplify]: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))
5.630 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))))
5.630 * * * * [progress]: [ 69 / 127 ] 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)))))>
5.630 * * * * [progress]: [ 70 / 127 ] 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)))))>
5.630 * * * * [progress]: [ 71 / 127 ] 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)))))>
5.630 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k))))>
5.630 * * * * [progress]: [ 73 / 127 ] 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)))))>
5.630 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
5.630 * * [simplify]: iters left: 6 (11 enodes)
5.634 * * [simplify]: iters left: 5 (46 enodes)
5.645 * * [simplify]: iters left: 4 (79 enodes)
5.669 * * [simplify]: iters left: 3 (135 enodes)
5.693 * * [simplify]: iters left: 2 (270 enodes)
5.782 * * [simplify]: Extracting #0: cost 1 inf + 0
5.782 * * [simplify]: Extracting #1: cost 56 inf + 0
5.783 * * [simplify]: Extracting #2: cost 151 inf + 0
5.784 * * [simplify]: Extracting #3: cost 211 inf + 3
5.785 * * [simplify]: Extracting #4: cost 182 inf + 8248
5.790 * * [simplify]: Extracting #5: cost 108 inf + 32321
5.801 * * [simplify]: Extracting #6: cost 40 inf + 73343
5.824 * * [simplify]: Extracting #7: cost 0 inf + 103841
5.841 * * [simplify]: Extracting #8: cost 0 inf + 103639
5.854 * * [simplify]: Extracting #9: cost 0 inf + 103517
5.878 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
5.878 * [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)))))
5.878 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
5.879 * * [simplify]: iters left: 6 (11 enodes)
5.885 * * [simplify]: iters left: 5 (45 enodes)
5.898 * * [simplify]: iters left: 4 (68 enodes)
5.919 * * [simplify]: iters left: 3 (110 enodes)
5.957 * * [simplify]: iters left: 2 (217 enodes)
6.001 * * [simplify]: iters left: 1 (456 enodes)
6.153 * * [simplify]: Extracting #0: cost 1 inf + 0
6.153 * * [simplify]: Extracting #1: cost 44 inf + 0
6.154 * * [simplify]: Extracting #2: cost 133 inf + 0
6.155 * * [simplify]: Extracting #3: cost 211 inf + 3
6.157 * * [simplify]: Extracting #4: cost 209 inf + 1047
6.161 * * [simplify]: Extracting #5: cost 156 inf + 8593
6.167 * * [simplify]: Extracting #6: cost 83 inf + 43654
6.182 * * [simplify]: Extracting #7: cost 10 inf + 107740
6.207 * * [simplify]: Extracting #8: cost 0 inf + 116394
6.225 * * [simplify]: Extracting #9: cost 0 inf + 115425
6.250 * * [simplify]: Extracting #10: cost 0 inf + 114468
6.267 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k)))
6.267 * [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)))))
6.267 * * * * [progress]: [ 74 / 127 ] 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)))))>
6.267 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k))))
6.267 * * [simplify]: iters left: 6 (11 enodes)
6.270 * * [simplify]: iters left: 5 (45 enodes)
6.278 * * [simplify]: iters left: 4 (72 enodes)
6.301 * * [simplify]: iters left: 3 (113 enodes)
6.333 * * [simplify]: iters left: 2 (202 enodes)
6.390 * * [simplify]: iters left: 1 (423 enodes)
6.600 * * [simplify]: Extracting #0: cost 1 inf + 0
6.600 * * [simplify]: Extracting #1: cost 45 inf + 0
6.601 * * [simplify]: Extracting #2: cost 135 inf + 0
6.601 * * [simplify]: Extracting #3: cost 200 inf + 4
6.603 * * [simplify]: Extracting #4: cost 178 inf + 4405
6.611 * * [simplify]: Extracting #5: cost 89 inf + 41805
6.624 * * [simplify]: Extracting #6: cost 6 inf + 96015
6.644 * * [simplify]: Extracting #7: cost 0 inf + 93673
6.682 * * [simplify]: Extracting #8: cost 0 inf + 88687
6.711 * * [simplify]: Extracting #9: cost 0 inf + 87603
6.731 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k)))
6.731 * [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)))))
6.731 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))
6.731 * * [simplify]: iters left: 6 (11 enodes)
6.736 * * [simplify]: iters left: 5 (45 enodes)
6.750 * * [simplify]: iters left: 4 (68 enodes)
6.761 * * [simplify]: iters left: 3 (110 enodes)
6.792 * * [simplify]: iters left: 2 (217 enodes)
6.843 * * [simplify]: iters left: 1 (456 enodes)
7.048 * * [simplify]: Extracting #0: cost 1 inf + 0
7.048 * * [simplify]: Extracting #1: cost 44 inf + 0
7.049 * * [simplify]: Extracting #2: cost 133 inf + 0
7.050 * * [simplify]: Extracting #3: cost 211 inf + 3
7.052 * * [simplify]: Extracting #4: cost 209 inf + 1127
7.055 * * [simplify]: Extracting #5: cost 156 inf + 8673
7.062 * * [simplify]: Extracting #6: cost 83 inf + 43734
7.076 * * [simplify]: Extracting #7: cost 10 inf + 107820
7.100 * * [simplify]: Extracting #8: cost 0 inf + 116474
7.129 * * [simplify]: Extracting #9: cost 0 inf + 115505
7.149 * * [simplify]: Extracting #10: cost 0 inf + 114548
7.181 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k)))
7.181 * [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)))))
7.181 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
7.181 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
7.182 * * [simplify]: iters left: 6 (10 enodes)
7.187 * * [simplify]: iters left: 5 (41 enodes)
7.202 * * [simplify]: iters left: 4 (68 enodes)
7.223 * * [simplify]: iters left: 3 (109 enodes)
7.258 * * [simplify]: iters left: 2 (194 enodes)
7.307 * * [simplify]: iters left: 1 (414 enodes)
7.501 * * [simplify]: Extracting #0: cost 1 inf + 0
7.501 * * [simplify]: Extracting #1: cost 45 inf + 0
7.502 * * [simplify]: Extracting #2: cost 141 inf + 0
7.503 * * [simplify]: Extracting #3: cost 206 inf + 4
7.507 * * [simplify]: Extracting #4: cost 178 inf + 9345
7.518 * * [simplify]: Extracting #5: cost 101 inf + 32669
7.532 * * [simplify]: Extracting #6: cost 15 inf + 90305
7.548 * * [simplify]: Extracting #7: cost 0 inf + 100314
7.583 * * [simplify]: Extracting #8: cost 0 inf + 100143
7.614 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
7.615 * [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)))))
7.615 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
7.615 * * [simplify]: iters left: 6 (11 enodes)
7.621 * * [simplify]: iters left: 5 (45 enodes)
7.636 * * [simplify]: iters left: 4 (68 enodes)
7.657 * * [simplify]: iters left: 3 (110 enodes)
7.682 * * [simplify]: iters left: 2 (217 enodes)
7.758 * * [simplify]: iters left: 1 (456 enodes)
7.959 * * [simplify]: Extracting #0: cost 1 inf + 0
7.960 * * [simplify]: Extracting #1: cost 44 inf + 0
7.960 * * [simplify]: Extracting #2: cost 133 inf + 0
7.961 * * [simplify]: Extracting #3: cost 211 inf + 3
7.962 * * [simplify]: Extracting #4: cost 209 inf + 967
7.964 * * [simplify]: Extracting #5: cost 156 inf + 8433
7.976 * * [simplify]: Extracting #6: cost 83 inf + 42774
8.003 * * [simplify]: Extracting #7: cost 10 inf + 105380
8.032 * * [simplify]: Extracting #8: cost 0 inf + 113674
8.049 * * [simplify]: Extracting #9: cost 0 inf + 112705
8.080 * * [simplify]: Extracting #10: cost 0 inf + 111748
8.115 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))
8.115 * [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)))))
8.115 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
8.115 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1))
8.116 * * [simplify]: iters left: 6 (9 enodes)
8.122 * * [simplify]: iters left: 5 (38 enodes)
8.135 * * [simplify]: iters left: 4 (63 enodes)
8.155 * * [simplify]: iters left: 3 (100 enodes)
8.183 * * [simplify]: iters left: 2 (175 enodes)
8.229 * * [simplify]: iters left: 1 (360 enodes)
8.399 * * [simplify]: Extracting #0: cost 1 inf + 0
8.399 * * [simplify]: Extracting #1: cost 52 inf + 0
8.400 * * [simplify]: Extracting #2: cost 150 inf + 3
8.401 * * [simplify]: Extracting #3: cost 190 inf + 8
8.404 * * [simplify]: Extracting #4: cost 167 inf + 1999
8.409 * * [simplify]: Extracting #5: cost 109 inf + 14534
8.428 * * [simplify]: Extracting #6: cost 11 inf + 80954
8.456 * * [simplify]: Extracting #7: cost 0 inf + 87093
8.469 * * [simplify]: Extracting #8: cost 0 inf + 85003
8.483 * * [simplify]: Extracting #9: cost 0 inf + 84872
8.508 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2)))
8.508 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))
8.509 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
8.509 * * [simplify]: iters left: 6 (10 enodes)
8.514 * * [simplify]: iters left: 5 (42 enodes)
8.527 * * [simplify]: iters left: 4 (65 enodes)
8.547 * * [simplify]: iters left: 3 (104 enodes)
8.588 * * [simplify]: iters left: 2 (206 enodes)
8.663 * * [simplify]: iters left: 1 (433 enodes)
8.899 * * [simplify]: Extracting #0: cost 1 inf + 0
8.899 * * [simplify]: Extracting #1: cost 45 inf + 0
8.900 * * [simplify]: Extracting #2: cost 143 inf + 0
8.901 * * [simplify]: Extracting #3: cost 213 inf + 45
8.902 * * [simplify]: Extracting #4: cost 203 inf + 1718
8.906 * * [simplify]: Extracting #5: cost 130 inf + 20716
8.920 * * [simplify]: Extracting #6: cost 18 inf + 99664
8.958 * * [simplify]: Extracting #7: cost 0 inf + 106929
8.984 * * [simplify]: Extracting #8: cost 0 inf + 106247
9.028 * * [simplify]: Extracting #9: cost 0 inf + 105867
9.060 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
9.060 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
9.060 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
9.061 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
9.061 * * [simplify]: iters left: 6 (10 enodes)
9.067 * * [simplify]: iters left: 5 (41 enodes)
9.081 * * [simplify]: iters left: 4 (68 enodes)
9.103 * * [simplify]: iters left: 3 (109 enodes)
9.135 * * [simplify]: iters left: 2 (194 enodes)
9.178 * * [simplify]: iters left: 1 (414 enodes)
9.346 * * [simplify]: Extracting #0: cost 1 inf + 0
9.346 * * [simplify]: Extracting #1: cost 45 inf + 0
9.347 * * [simplify]: Extracting #2: cost 141 inf + 0
9.348 * * [simplify]: Extracting #3: cost 206 inf + 4
9.349 * * [simplify]: Extracting #4: cost 178 inf + 9345
9.357 * * [simplify]: Extracting #5: cost 101 inf + 32669
9.386 * * [simplify]: Extracting #6: cost 15 inf + 90305
9.401 * * [simplify]: Extracting #7: cost 0 inf + 100314
9.417 * * [simplify]: Extracting #8: cost 0 inf + 100143
9.448 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
9.449 * [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)))))
9.449 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
9.449 * * [simplify]: iters left: 6 (11 enodes)
9.454 * * [simplify]: iters left: 5 (45 enodes)
9.462 * * [simplify]: iters left: 4 (68 enodes)
9.473 * * [simplify]: iters left: 3 (110 enodes)
9.504 * * [simplify]: iters left: 2 (217 enodes)
9.586 * * [simplify]: iters left: 1 (456 enodes)
9.808 * * [simplify]: Extracting #0: cost 1 inf + 0
9.808 * * [simplify]: Extracting #1: cost 44 inf + 0
9.808 * * [simplify]: Extracting #2: cost 133 inf + 0
9.809 * * [simplify]: Extracting #3: cost 211 inf + 3
9.810 * * [simplify]: Extracting #4: cost 209 inf + 967
9.816 * * [simplify]: Extracting #5: cost 156 inf + 8433
9.822 * * [simplify]: Extracting #6: cost 83 inf + 42774
9.837 * * [simplify]: Extracting #7: cost 10 inf + 105380
9.862 * * [simplify]: Extracting #8: cost 0 inf + 113674
9.879 * * [simplify]: Extracting #9: cost 0 inf + 112705
9.900 * * [simplify]: Extracting #10: cost 0 inf + 111748
9.920 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k)))
9.920 * [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)))))
9.920 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
9.921 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1)
9.921 * * [simplify]: iters left: 6 (8 enodes)
9.924 * * [simplify]: iters left: 5 (33 enodes)
9.931 * * [simplify]: iters left: 4 (56 enodes)
9.947 * * [simplify]: iters left: 3 (98 enodes)
9.985 * * [simplify]: iters left: 2 (203 enodes)
10.036 * * [simplify]: iters left: 1 (441 enodes)
10.264 * * [simplify]: Extracting #0: cost 1 inf + 0
10.265 * * [simplify]: Extracting #1: cost 49 inf + 0
10.265 * * [simplify]: Extracting #2: cost 157 inf + 3
10.266 * * [simplify]: Extracting #3: cost 212 inf + 8
10.267 * * [simplify]: Extracting #4: cost 198 inf + 1133
10.270 * * [simplify]: Extracting #5: cost 127 inf + 13703
10.291 * * [simplify]: Extracting #6: cost 35 inf + 74586
10.325 * * [simplify]: Extracting #7: cost 0 inf + 99668
10.350 * * [simplify]: Extracting #8: cost 0 inf + 99308
10.374 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2)))
10.374 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))
10.375 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
10.375 * * [simplify]: iters left: 6 (10 enodes)
10.380 * * [simplify]: iters left: 5 (42 enodes)
10.394 * * [simplify]: iters left: 4 (65 enodes)
10.415 * * [simplify]: iters left: 3 (104 enodes)
10.455 * * [simplify]: iters left: 2 (206 enodes)
10.532 * * [simplify]: iters left: 1 (433 enodes)
10.712 * * [simplify]: Extracting #0: cost 1 inf + 0
10.713 * * [simplify]: Extracting #1: cost 45 inf + 0
10.713 * * [simplify]: Extracting #2: cost 143 inf + 0
10.714 * * [simplify]: Extracting #3: cost 213 inf + 45
10.715 * * [simplify]: Extracting #4: cost 203 inf + 1718
10.718 * * [simplify]: Extracting #5: cost 130 inf + 20716
10.735 * * [simplify]: Extracting #6: cost 18 inf + 99664
10.766 * * [simplify]: Extracting #7: cost 0 inf + 106929
10.797 * * [simplify]: Extracting #8: cost 0 inf + 106247
10.825 * * [simplify]: Extracting #9: cost 0 inf + 105867
10.867 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
10.868 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))
10.868 * * * * [progress]: [ 79 / 127 ] 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)))))>
10.868 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
10.868 * * [simplify]: iters left: 6 (16 enodes)
10.872 * * [simplify]: iters left: 5 (69 enodes)
10.886 * * [simplify]: iters left: 4 (117 enodes)
10.915 * * [simplify]: iters left: 3 (164 enodes)
10.944 * * [simplify]: iters left: 2 (236 enodes)
10.997 * * [simplify]: iters left: 1 (387 enodes)
11.133 * * [simplify]: Extracting #0: cost 1 inf + 0
11.133 * * [simplify]: Extracting #1: cost 11 inf + 0
11.133 * * [simplify]: Extracting #2: cost 22 inf + 0
11.133 * * [simplify]: Extracting #3: cost 48 inf + 0
11.134 * * [simplify]: Extracting #4: cost 120 inf + 2
11.135 * * [simplify]: Extracting #5: cost 145 inf + 1787
11.141 * * [simplify]: Extracting #6: cost 89 inf + 14823
11.152 * * [simplify]: Extracting #7: cost 35 inf + 37040
11.171 * * [simplify]: Extracting #8: cost 4 inf + 64421
11.185 * * [simplify]: Extracting #9: cost 0 inf + 66215
11.197 * * [simplify]: Extracting #10: cost 0 inf + 65834
11.214 * [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))))
11.215 * [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)))))
11.215 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
11.215 * * [simplify]: iters left: 6 (14 enodes)
11.223 * * [simplify]: iters left: 5 (57 enodes)
11.241 * * [simplify]: iters left: 4 (90 enodes)
11.268 * * [simplify]: iters left: 3 (127 enodes)
11.310 * * [simplify]: iters left: 2 (195 enodes)
11.381 * * [simplify]: iters left: 1 (356 enodes)
11.540 * * [simplify]: Extracting #0: cost 1 inf + 0
11.540 * * [simplify]: Extracting #1: cost 4 inf + 0
11.540 * * [simplify]: Extracting #2: cost 8 inf + 0
11.540 * * [simplify]: Extracting #3: cost 34 inf + 0
11.541 * * [simplify]: Extracting #4: cost 107 inf + 164
11.541 * * [simplify]: Extracting #5: cost 148 inf + 585
11.543 * * [simplify]: Extracting #6: cost 104 inf + 6057
11.547 * * [simplify]: Extracting #7: cost 40 inf + 28932
11.556 * * [simplify]: Extracting #8: cost 3 inf + 60785
11.574 * * [simplify]: Extracting #9: cost 0 inf + 62323
11.585 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
11.585 * [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)))))
11.585 * * * * [progress]: [ 80 / 127 ] 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)))))>
11.585 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k))))
11.585 * * [simplify]: iters left: 6 (16 enodes)
11.590 * * [simplify]: iters left: 5 (66 enodes)
11.601 * * [simplify]: iters left: 4 (103 enodes)
11.632 * * [simplify]: iters left: 3 (142 enodes)
11.680 * * [simplify]: iters left: 2 (210 enodes)
11.727 * * [simplify]: iters left: 1 (370 enodes)
11.876 * * [simplify]: Extracting #0: cost 1 inf + 0
11.876 * * [simplify]: Extracting #1: cost 7 inf + 0
11.876 * * [simplify]: Extracting #2: cost 15 inf + 0
11.876 * * [simplify]: Extracting #3: cost 43 inf + 0
11.877 * * [simplify]: Extracting #4: cost 113 inf + 204
11.878 * * [simplify]: Extracting #5: cost 144 inf + 990
11.881 * * [simplify]: Extracting #6: cost 110 inf + 4920
11.888 * * [simplify]: Extracting #7: cost 55 inf + 21303
11.903 * * [simplify]: Extracting #8: cost 13 inf + 52139
11.922 * * [simplify]: Extracting #9: cost 0 inf + 63233
11.939 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k)))
11.939 * [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)))))
11.939 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
11.939 * * [simplify]: iters left: 6 (14 enodes)
11.943 * * [simplify]: iters left: 5 (57 enodes)
11.952 * * [simplify]: iters left: 4 (90 enodes)
11.971 * * [simplify]: iters left: 3 (127 enodes)
12.010 * * [simplify]: iters left: 2 (195 enodes)
12.051 * * [simplify]: iters left: 1 (356 enodes)
12.211 * * [simplify]: Extracting #0: cost 1 inf + 0
12.212 * * [simplify]: Extracting #1: cost 4 inf + 0
12.212 * * [simplify]: Extracting #2: cost 8 inf + 0
12.212 * * [simplify]: Extracting #3: cost 34 inf + 0
12.212 * * [simplify]: Extracting #4: cost 107 inf + 204
12.213 * * [simplify]: Extracting #5: cost 148 inf + 665
12.217 * * [simplify]: Extracting #6: cost 104 inf + 6137
12.225 * * [simplify]: Extracting #7: cost 40 inf + 29012
12.237 * * [simplify]: Extracting #8: cost 3 inf + 60865
12.247 * * [simplify]: Extracting #9: cost 0 inf + 62403
12.257 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
12.258 * [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)))))
12.258 * * * * [progress]: [ 81 / 127 ] 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)))))>
12.258 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
12.258 * * [simplify]: iters left: 6 (15 enodes)
12.262 * * [simplify]: iters left: 5 (62 enodes)
12.278 * * [simplify]: iters left: 4 (99 enodes)
12.306 * * [simplify]: iters left: 3 (142 enodes)
12.334 * * [simplify]: iters left: 2 (215 enodes)
12.375 * * [simplify]: iters left: 1 (364 enodes)
12.496 * * [simplify]: Extracting #0: cost 1 inf + 0
12.496 * * [simplify]: Extracting #1: cost 7 inf + 0
12.497 * * [simplify]: Extracting #2: cost 14 inf + 0
12.497 * * [simplify]: Extracting #3: cost 41 inf + 0
12.497 * * [simplify]: Extracting #4: cost 108 inf + 124
12.498 * * [simplify]: Extracting #5: cost 134 inf + 713
12.500 * * [simplify]: Extracting #6: cost 89 inf + 7865
12.506 * * [simplify]: Extracting #7: cost 23 inf + 42624
12.515 * * [simplify]: Extracting #8: cost 0 inf + 60960
12.528 * * [simplify]: Extracting #9: cost 0 inf + 60349
12.545 * * [simplify]: Extracting #10: cost 0 inf + 60309
12.567 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
12.567 * [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)))))
12.567 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
12.567 * * [simplify]: iters left: 6 (14 enodes)
12.575 * * [simplify]: iters left: 5 (57 enodes)
12.593 * * [simplify]: iters left: 4 (90 enodes)
12.617 * * [simplify]: iters left: 3 (127 enodes)
12.636 * * [simplify]: iters left: 2 (195 enodes)
12.692 * * [simplify]: iters left: 1 (356 enodes)
12.857 * * [simplify]: Extracting #0: cost 1 inf + 0
12.857 * * [simplify]: Extracting #1: cost 4 inf + 0
12.857 * * [simplify]: Extracting #2: cost 8 inf + 0
12.857 * * [simplify]: Extracting #3: cost 34 inf + 0
12.858 * * [simplify]: Extracting #4: cost 107 inf + 124
12.858 * * [simplify]: Extracting #5: cost 148 inf + 505
12.860 * * [simplify]: Extracting #6: cost 104 inf + 5977
12.864 * * [simplify]: Extracting #7: cost 40 inf + 28772
12.878 * * [simplify]: Extracting #8: cost 3 inf + 60625
12.901 * * [simplify]: Extracting #9: cost 0 inf + 62163
12.917 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
12.917 * [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)))))
12.917 * * * * [progress]: [ 82 / 127 ] 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))))>
12.917 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1))
12.918 * * [simplify]: iters left: 6 (14 enodes)
12.922 * * [simplify]: iters left: 5 (59 enodes)
12.931 * * [simplify]: iters left: 4 (96 enodes)
12.949 * * [simplify]: iters left: 3 (136 enodes)
12.986 * * [simplify]: iters left: 2 (205 enodes)
13.027 * * [simplify]: iters left: 1 (370 enodes)
13.156 * * [simplify]: Extracting #0: cost 1 inf + 0
13.156 * * [simplify]: Extracting #1: cost 5 inf + 0
13.157 * * [simplify]: Extracting #2: cost 7 inf + 1
13.157 * * [simplify]: Extracting #3: cost 31 inf + 1
13.157 * * [simplify]: Extracting #4: cost 103 inf + 2
13.158 * * [simplify]: Extracting #5: cost 150 inf + 218
13.159 * * [simplify]: Extracting #6: cost 145 inf + 809
13.163 * * [simplify]: Extracting #7: cost 87 inf + 10304
13.176 * * [simplify]: Extracting #8: cost 25 inf + 34558
13.201 * * [simplify]: Extracting #9: cost 0 inf + 51677
13.223 * * [simplify]: Extracting #10: cost 0 inf + 51597
13.245 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
13.245 * [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))))
13.246 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
13.246 * * [simplify]: iters left: 6 (13 enodes)
13.254 * * [simplify]: iters left: 5 (54 enodes)
13.272 * * [simplify]: iters left: 4 (87 enodes)
13.298 * * [simplify]: iters left: 3 (128 enodes)
13.338 * * [simplify]: iters left: 2 (197 enodes)
13.410 * * [simplify]: iters left: 1 (354 enodes)
13.557 * * [simplify]: Extracting #0: cost 1 inf + 0
13.557 * * [simplify]: Extracting #1: cost 4 inf + 0
13.557 * * [simplify]: Extracting #2: cost 8 inf + 0
13.557 * * [simplify]: Extracting #3: cost 28 inf + 83
13.557 * * [simplify]: Extracting #4: cost 105 inf + 84
13.558 * * [simplify]: Extracting #5: cost 139 inf + 343
13.565 * * [simplify]: Extracting #6: cost 97 inf + 5103
13.575 * * [simplify]: Extracting #7: cost 34 inf + 36313
13.594 * * [simplify]: Extracting #8: cost 1 inf + 60074
13.613 * * [simplify]: Extracting #9: cost 0 inf + 60197
13.634 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
13.634 * [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) (- 1/2 (/ k 2)))) (sqrt k))))
13.634 * * * * [progress]: [ 83 / 127 ] 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)))))>
13.635 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
13.635 * * [simplify]: iters left: 6 (15 enodes)
13.643 * * [simplify]: iters left: 5 (62 enodes)
13.662 * * [simplify]: iters left: 4 (99 enodes)
13.683 * * [simplify]: iters left: 3 (142 enodes)
13.710 * * [simplify]: iters left: 2 (215 enodes)
13.754 * * [simplify]: iters left: 1 (364 enodes)
13.901 * * [simplify]: Extracting #0: cost 1 inf + 0
13.901 * * [simplify]: Extracting #1: cost 7 inf + 0
13.901 * * [simplify]: Extracting #2: cost 14 inf + 0
13.902 * * [simplify]: Extracting #3: cost 41 inf + 0
13.902 * * [simplify]: Extracting #4: cost 108 inf + 124
13.902 * * [simplify]: Extracting #5: cost 134 inf + 713
13.904 * * [simplify]: Extracting #6: cost 89 inf + 7865
13.910 * * [simplify]: Extracting #7: cost 23 inf + 42624
13.923 * * [simplify]: Extracting #8: cost 0 inf + 60960
13.940 * * [simplify]: Extracting #9: cost 0 inf + 60349
13.956 * * [simplify]: Extracting #10: cost 0 inf + 60309
13.974 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
13.974 * [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)))))
13.975 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
13.975 * * [simplify]: iters left: 6 (14 enodes)
13.982 * * [simplify]: iters left: 5 (57 enodes)
14.000 * * [simplify]: iters left: 4 (90 enodes)
14.030 * * [simplify]: iters left: 3 (127 enodes)
14.068 * * [simplify]: iters left: 2 (195 enodes)
14.112 * * [simplify]: iters left: 1 (356 enodes)
14.269 * * [simplify]: Extracting #0: cost 1 inf + 0
14.269 * * [simplify]: Extracting #1: cost 4 inf + 0
14.269 * * [simplify]: Extracting #2: cost 8 inf + 0
14.269 * * [simplify]: Extracting #3: cost 34 inf + 0
14.270 * * [simplify]: Extracting #4: cost 107 inf + 124
14.271 * * [simplify]: Extracting #5: cost 148 inf + 505
14.273 * * [simplify]: Extracting #6: cost 104 inf + 5977
14.277 * * [simplify]: Extracting #7: cost 40 inf + 28772
14.286 * * [simplify]: Extracting #8: cost 3 inf + 60625
14.296 * * [simplify]: Extracting #9: cost 0 inf + 62163
14.308 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
14.308 * [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)))))
14.308 * * * * [progress]: [ 84 / 127 ] 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))))>
14.308 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1)
14.309 * * [simplify]: iters left: 6 (13 enodes)
14.316 * * [simplify]: iters left: 5 (54 enodes)
14.326 * * [simplify]: iters left: 4 (95 enodes)
14.343 * * [simplify]: iters left: 3 (137 enodes)
14.372 * * [simplify]: iters left: 2 (206 enodes)
14.443 * * [simplify]: iters left: 1 (362 enodes)
14.593 * * [simplify]: Extracting #0: cost 1 inf + 0
14.593 * * [simplify]: Extracting #1: cost 5 inf + 0
14.593 * * [simplify]: Extracting #2: cost 7 inf + 1
14.593 * * [simplify]: Extracting #3: cost 32 inf + 1
14.593 * * [simplify]: Extracting #4: cost 110 inf + 2
14.594 * * [simplify]: Extracting #5: cost 158 inf + 176
14.594 * * [simplify]: Extracting #6: cost 152 inf + 519
14.597 * * [simplify]: Extracting #7: cost 101 inf + 8278
14.608 * * [simplify]: Extracting #8: cost 36 inf + 29809
14.630 * * [simplify]: Extracting #9: cost 0 inf + 59743
14.642 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
14.642 * [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))))
14.642 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
14.642 * * [simplify]: iters left: 6 (13 enodes)
14.646 * * [simplify]: iters left: 5 (54 enodes)
14.655 * * [simplify]: iters left: 4 (87 enodes)
14.677 * * [simplify]: iters left: 3 (128 enodes)
14.696 * * [simplify]: iters left: 2 (197 enodes)
14.759 * * [simplify]: iters left: 1 (354 enodes)
14.860 * * [simplify]: Extracting #0: cost 1 inf + 0
14.860 * * [simplify]: Extracting #1: cost 4 inf + 0
14.860 * * [simplify]: Extracting #2: cost 8 inf + 0
14.860 * * [simplify]: Extracting #3: cost 28 inf + 83
14.861 * * [simplify]: Extracting #4: cost 105 inf + 84
14.861 * * [simplify]: Extracting #5: cost 139 inf + 343
14.862 * * [simplify]: Extracting #6: cost 97 inf + 5103
14.867 * * [simplify]: Extracting #7: cost 34 inf + 36313
14.885 * * [simplify]: Extracting #8: cost 1 inf + 60074
14.904 * * [simplify]: Extracting #9: cost 0 inf + 60197
14.918 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
14.918 * [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) (- 1/2 (/ k 2)))) (sqrt k))))
14.918 * * * * [progress]: [ 85 / 127 ] 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)))))>
14.918 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
14.918 * * [simplify]: iters left: 6 (15 enodes)
14.922 * * [simplify]: iters left: 5 (62 enodes)
14.935 * * [simplify]: iters left: 4 (98 enodes)
14.949 * * [simplify]: iters left: 3 (134 enodes)
14.974 * * [simplify]: iters left: 2 (202 enodes)
15.024 * * [simplify]: iters left: 1 (362 enodes)
15.129 * * [simplify]: Extracting #0: cost 1 inf + 0
15.130 * * [simplify]: Extracting #1: cost 6 inf + 0
15.130 * * [simplify]: Extracting #2: cost 13 inf + 0
15.130 * * [simplify]: Extracting #3: cost 43 inf + 0
15.130 * * [simplify]: Extracting #4: cost 123 inf + 2
15.131 * * [simplify]: Extracting #5: cost 143 inf + 1737
15.133 * * [simplify]: Extracting #6: cost 78 inf + 14117
15.139 * * [simplify]: Extracting #7: cost 41 inf + 26321
15.149 * * [simplify]: Extracting #8: cost 0 inf + 58201
15.162 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
15.162 * [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)))))
15.163 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
15.163 * * [simplify]: iters left: 6 (14 enodes)
15.169 * * [simplify]: iters left: 5 (57 enodes)
15.181 * * [simplify]: iters left: 4 (91 enodes)
15.195 * * [simplify]: iters left: 3 (127 enodes)
15.221 * * [simplify]: iters left: 2 (195 enodes)
15.270 * * [simplify]: iters left: 1 (354 enodes)
15.422 * * [simplify]: Extracting #0: cost 1 inf + 0
15.422 * * [simplify]: Extracting #1: cost 4 inf + 0
15.422 * * [simplify]: Extracting #2: cost 9 inf + 0
15.422 * * [simplify]: Extracting #3: cost 36 inf + 0
15.423 * * [simplify]: Extracting #4: cost 113 inf + 164
15.424 * * [simplify]: Extracting #5: cost 137 inf + 711
15.430 * * [simplify]: Extracting #6: cost 71 inf + 16363
15.443 * * [simplify]: Extracting #7: cost 10 inf + 50147
15.452 * * [simplify]: Extracting #8: cost 0 inf + 57814
15.465 * * [simplify]: Extracting #9: cost 0 inf + 57305
15.487 * * [simplify]: Extracting #10: cost 0 inf + 57095
15.506 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))
15.507 * [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)))))
15.507 * * * * [progress]: [ 86 / 127 ] 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)))))>
15.507 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k))))
15.507 * * [simplify]: iters left: 6 (15 enodes)
15.515 * * [simplify]: iters left: 5 (61 enodes)
15.535 * * [simplify]: iters left: 4 (95 enodes)
15.563 * * [simplify]: iters left: 3 (131 enodes)
15.605 * * [simplify]: iters left: 2 (199 enodes)
15.674 * * [simplify]: iters left: 1 (362 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 10 inf + 0
15.821 * * [simplify]: Extracting #3: cost 41 inf + 0
15.822 * * [simplify]: Extracting #4: cost 124 inf + 325
15.823 * * [simplify]: Extracting #5: cost 146 inf + 2066
15.828 * * [simplify]: Extracting #6: cost 88 inf + 11216
15.835 * * [simplify]: Extracting #7: cost 59 inf + 18921
15.853 * * [simplify]: Extracting #8: cost 20 inf + 50076
15.864 * * [simplify]: Extracting #9: cost 0 inf + 68061
15.873 * * [simplify]: Extracting #10: cost 0 inf + 67850
15.883 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
15.883 * [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)))))
15.883 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
15.884 * * [simplify]: iters left: 6 (14 enodes)
15.890 * * [simplify]: iters left: 5 (57 enodes)
15.909 * * [simplify]: iters left: 4 (91 enodes)
15.922 * * [simplify]: iters left: 3 (127 enodes)
15.945 * * [simplify]: iters left: 2 (195 enodes)
15.987 * * [simplify]: iters left: 1 (354 enodes)
16.094 * * [simplify]: Extracting #0: cost 1 inf + 0
16.094 * * [simplify]: Extracting #1: cost 4 inf + 0
16.094 * * [simplify]: Extracting #2: cost 9 inf + 0
16.094 * * [simplify]: Extracting #3: cost 36 inf + 0
16.094 * * [simplify]: Extracting #4: cost 113 inf + 204
16.095 * * [simplify]: Extracting #5: cost 137 inf + 791
16.097 * * [simplify]: Extracting #6: cost 71 inf + 16443
16.105 * * [simplify]: Extracting #7: cost 10 inf + 50227
16.116 * * [simplify]: Extracting #8: cost 0 inf + 57894
16.126 * * [simplify]: Extracting #9: cost 0 inf + 57385
16.136 * * [simplify]: Extracting #10: cost 0 inf + 57175
16.146 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))
16.146 * [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)))))
16.146 * * * * [progress]: [ 87 / 127 ] 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)))))>
16.146 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
16.146 * * [simplify]: iters left: 6 (14 enodes)
16.150 * * [simplify]: iters left: 5 (57 enodes)
16.159 * * [simplify]: iters left: 4 (91 enodes)
16.179 * * [simplify]: iters left: 3 (127 enodes)
16.213 * * [simplify]: iters left: 2 (195 enodes)
16.255 * * [simplify]: iters left: 1 (354 enodes)
16.380 * * [simplify]: Extracting #0: cost 1 inf + 0
16.380 * * [simplify]: Extracting #1: cost 4 inf + 0
16.380 * * [simplify]: Extracting #2: cost 9 inf + 0
16.380 * * [simplify]: Extracting #3: cost 36 inf + 0
16.381 * * [simplify]: Extracting #4: cost 113 inf + 124
16.381 * * [simplify]: Extracting #5: cost 137 inf + 631
16.384 * * [simplify]: Extracting #6: cost 71 inf + 16283
16.392 * * [simplify]: Extracting #7: cost 10 inf + 49987
16.401 * * [simplify]: Extracting #8: cost 0 inf + 57654
16.411 * * [simplify]: Extracting #9: cost 0 inf + 57145
16.421 * * [simplify]: Extracting #10: cost 0 inf + 56935
16.430 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
16.430 * [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)))))
16.431 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
16.431 * * [simplify]: iters left: 6 (14 enodes)
16.440 * * [simplify]: iters left: 5 (57 enodes)
16.458 * * [simplify]: iters left: 4 (91 enodes)
16.485 * * [simplify]: iters left: 3 (127 enodes)
16.521 * * [simplify]: iters left: 2 (195 enodes)
16.558 * * [simplify]: iters left: 1 (354 enodes)
16.681 * * [simplify]: Extracting #0: cost 1 inf + 0
16.681 * * [simplify]: Extracting #1: cost 4 inf + 0
16.681 * * [simplify]: Extracting #2: cost 9 inf + 0
16.681 * * [simplify]: Extracting #3: cost 36 inf + 0
16.681 * * [simplify]: Extracting #4: cost 113 inf + 124
16.682 * * [simplify]: Extracting #5: cost 137 inf + 631
16.684 * * [simplify]: Extracting #6: cost 71 inf + 16283
16.700 * * [simplify]: Extracting #7: cost 10 inf + 49987
16.719 * * [simplify]: Extracting #8: cost 0 inf + 57654
16.740 * * [simplify]: Extracting #9: cost 0 inf + 57145
16.750 * * [simplify]: Extracting #10: cost 0 inf + 56935
16.759 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
16.760 * [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)))))
16.760 * * * * [progress]: [ 88 / 127 ] 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))))>
16.760 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1))
16.760 * * [simplify]: iters left: 6 (13 enodes)
16.765 * * [simplify]: iters left: 5 (54 enodes)
16.776 * * [simplify]: iters left: 4 (88 enodes)
16.789 * * [simplify]: iters left: 3 (127 enodes)
16.824 * * [simplify]: iters left: 2 (196 enodes)
16.873 * * [simplify]: iters left: 1 (362 enodes)
16.995 * * [simplify]: Extracting #0: cost 1 inf + 0
16.995 * * [simplify]: Extracting #1: cost 5 inf + 0
16.995 * * [simplify]: Extracting #2: cost 27 inf + 1
16.996 * * [simplify]: Extracting #3: cost 103 inf + 2
16.997 * * [simplify]: Extracting #4: cost 147 inf + 177
16.998 * * [simplify]: Extracting #5: cost 138 inf + 727
17.002 * * [simplify]: Extracting #6: cost 92 inf + 5570
17.013 * * [simplify]: Extracting #7: cost 20 inf + 39855
17.029 * * [simplify]: Extracting #8: cost 0 inf + 56614
17.038 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
17.038 * [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))))
17.038 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
17.038 * * [simplify]: iters left: 6 (13 enodes)
17.042 * * [simplify]: iters left: 5 (54 enodes)
17.051 * * [simplify]: iters left: 4 (88 enodes)
17.076 * * [simplify]: iters left: 3 (125 enodes)
17.100 * * [simplify]: iters left: 2 (193 enodes)
17.151 * * [simplify]: iters left: 1 (356 enodes)
17.287 * * [simplify]: Extracting #0: cost 1 inf + 0
17.288 * * [simplify]: Extracting #1: cost 4 inf + 0
17.288 * * [simplify]: Extracting #2: cost 9 inf + 0
17.288 * * [simplify]: Extracting #3: cost 32 inf + 1
17.288 * * [simplify]: Extracting #4: cost 105 inf + 84
17.289 * * [simplify]: Extracting #5: cost 126 inf + 1591
17.292 * * [simplify]: Extracting #6: cost 68 inf + 14727
17.306 * * [simplify]: Extracting #7: cost 10 inf + 40855
17.319 * * [simplify]: Extracting #8: cost 0 inf + 47636
17.344 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
17.344 * [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))))
17.345 * * * * [progress]: [ 89 / 127 ] 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)))))>
17.345 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
17.345 * * [simplify]: iters left: 6 (14 enodes)
17.352 * * [simplify]: iters left: 5 (57 enodes)
17.371 * * [simplify]: iters left: 4 (91 enodes)
17.397 * * [simplify]: iters left: 3 (127 enodes)
17.437 * * [simplify]: iters left: 2 (195 enodes)
17.491 * * [simplify]: iters left: 1 (354 enodes)
17.607 * * [simplify]: Extracting #0: cost 1 inf + 0
17.607 * * [simplify]: Extracting #1: cost 4 inf + 0
17.607 * * [simplify]: Extracting #2: cost 9 inf + 0
17.607 * * [simplify]: Extracting #3: cost 36 inf + 0
17.608 * * [simplify]: Extracting #4: cost 113 inf + 124
17.609 * * [simplify]: Extracting #5: cost 137 inf + 631
17.615 * * [simplify]: Extracting #6: cost 71 inf + 16283
17.635 * * [simplify]: Extracting #7: cost 10 inf + 49987
17.654 * * [simplify]: Extracting #8: cost 0 inf + 57654
17.673 * * [simplify]: Extracting #9: cost 0 inf + 57145
17.682 * * [simplify]: Extracting #10: cost 0 inf + 56935
17.692 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
17.692 * [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)))))
17.692 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
17.692 * * [simplify]: iters left: 6 (14 enodes)
17.696 * * [simplify]: iters left: 5 (57 enodes)
17.706 * * [simplify]: iters left: 4 (91 enodes)
17.734 * * [simplify]: iters left: 3 (127 enodes)
17.775 * * [simplify]: iters left: 2 (195 enodes)
17.812 * * [simplify]: iters left: 1 (354 enodes)
17.932 * * [simplify]: Extracting #0: cost 1 inf + 0
17.932 * * [simplify]: Extracting #1: cost 4 inf + 0
17.932 * * [simplify]: Extracting #2: cost 9 inf + 0
17.932 * * [simplify]: Extracting #3: cost 36 inf + 0
17.932 * * [simplify]: Extracting #4: cost 113 inf + 124
17.933 * * [simplify]: Extracting #5: cost 137 inf + 631
17.935 * * [simplify]: Extracting #6: cost 71 inf + 16283
17.943 * * [simplify]: Extracting #7: cost 10 inf + 49987
17.953 * * [simplify]: Extracting #8: cost 0 inf + 57654
17.963 * * [simplify]: Extracting #9: cost 0 inf + 57145
17.974 * * [simplify]: Extracting #10: cost 0 inf + 56935
17.986 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
17.986 * [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)))))
17.987 * * * * [progress]: [ 90 / 127 ] 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))))>
17.987 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1)
17.987 * * [simplify]: iters left: 6 (12 enodes)
17.993 * * [simplify]: iters left: 5 (49 enodes)
18.005 * * [simplify]: iters left: 4 (83 enodes)
18.021 * * [simplify]: iters left: 3 (124 enodes)
18.047 * * [simplify]: iters left: 2 (197 enodes)
18.113 * * [simplify]: iters left: 1 (352 enodes)
18.237 * * [simplify]: Extracting #0: cost 1 inf + 0
18.237 * * [simplify]: Extracting #1: cost 5 inf + 0
18.237 * * [simplify]: Extracting #2: cost 27 inf + 1
18.238 * * [simplify]: Extracting #3: cost 107 inf + 2
18.239 * * [simplify]: Extracting #4: cost 136 inf + 177
18.240 * * [simplify]: Extracting #5: cost 130 inf + 641
18.244 * * [simplify]: Extracting #6: cost 70 inf + 10495
18.252 * * [simplify]: Extracting #7: cost 39 inf + 22866
18.267 * * [simplify]: Extracting #8: cost 5 inf + 50330
18.286 * * [simplify]: Extracting #9: cost 0 inf + 54200
18.306 * * [simplify]: Extracting #10: cost 0 inf + 53889
18.329 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
18.329 * [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))))
18.329 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
18.329 * * [simplify]: iters left: 6 (13 enodes)
18.337 * * [simplify]: iters left: 5 (54 enodes)
18.353 * * [simplify]: iters left: 4 (88 enodes)
18.370 * * [simplify]: iters left: 3 (125 enodes)
18.389 * * [simplify]: iters left: 2 (193 enodes)
18.426 * * [simplify]: iters left: 1 (356 enodes)
18.550 * * [simplify]: Extracting #0: cost 1 inf + 0
18.550 * * [simplify]: Extracting #1: cost 4 inf + 0
18.550 * * [simplify]: Extracting #2: cost 9 inf + 0
18.551 * * [simplify]: Extracting #3: cost 32 inf + 1
18.551 * * [simplify]: Extracting #4: cost 105 inf + 84
18.553 * * [simplify]: Extracting #5: cost 126 inf + 1591
18.558 * * [simplify]: Extracting #6: cost 68 inf + 14727
18.575 * * [simplify]: Extracting #7: cost 10 inf + 40855
18.600 * * [simplify]: Extracting #8: cost 0 inf + 47636
18.630 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
18.630 * [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))))
18.630 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
18.630 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
18.630 * * [simplify]: iters left: 6 (6 enodes)
18.634 * * [simplify]: iters left: 5 (22 enodes)
18.640 * * [simplify]: iters left: 4 (26 enodes)
18.647 * * [simplify]: Extracting #0: cost 1 inf + 0
18.648 * * [simplify]: Extracting #1: cost 6 inf + 0
18.648 * * [simplify]: Extracting #2: cost 9 inf + 1
18.648 * * [simplify]: Extracting #3: cost 11 inf + 1
18.648 * * [simplify]: Extracting #4: cost 8 inf + 84
18.648 * * [simplify]: Extracting #5: cost 2 inf + 1013
18.648 * * [simplify]: Extracting #6: cost 0 inf + 1376
18.649 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
18.649 * [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)))))
18.649 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
18.650 * * [simplify]: iters left: 6 (13 enodes)
18.657 * * [simplify]: iters left: 5 (54 enodes)
18.673 * * [simplify]: iters left: 4 (89 enodes)
18.698 * * [simplify]: iters left: 3 (136 enodes)
18.739 * * [simplify]: iters left: 2 (221 enodes)
18.822 * * [simplify]: iters left: 1 (444 enodes)
19.034 * * [simplify]: Extracting #0: cost 1 inf + 0
19.035 * * [simplify]: Extracting #1: cost 51 inf + 0
19.035 * * [simplify]: Extracting #2: cost 142 inf + 0
19.037 * * [simplify]: Extracting #3: cost 218 inf + 3
19.039 * * [simplify]: Extracting #4: cost 207 inf + 1337
19.045 * * [simplify]: Extracting #5: cost 133 inf + 19274
19.070 * * [simplify]: Extracting #6: cost 32 inf + 94866
19.110 * * [simplify]: Extracting #7: cost 0 inf + 124049
19.146 * * [simplify]: Extracting #8: cost 0 inf + 120814
19.180 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))
19.180 * [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)))))
19.181 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
19.181 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k))))
19.181 * * [simplify]: iters left: 6 (6 enodes)
19.184 * * [simplify]: iters left: 5 (21 enodes)
19.190 * * [simplify]: iters left: 4 (23 enodes)
19.197 * * [simplify]: Extracting #0: cost 1 inf + 0
19.197 * * [simplify]: Extracting #1: cost 4 inf + 0
19.197 * * [simplify]: Extracting #2: cost 6 inf + 1
19.197 * * [simplify]: Extracting #3: cost 9 inf + 1
19.197 * * [simplify]: Extracting #4: cost 8 inf + 2
19.198 * * [simplify]: Extracting #5: cost 1 inf + 810
19.198 * * [simplify]: Extracting #6: cost 0 inf + 972
19.198 * [simplify]: Simplified to (/ 1 (fabs (cbrt k)))
19.198 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
19.199 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
19.199 * * [simplify]: iters left: 6 (13 enodes)
19.206 * * [simplify]: iters left: 5 (54 enodes)
19.224 * * [simplify]: iters left: 4 (89 enodes)
19.251 * * [simplify]: iters left: 3 (136 enodes)
19.296 * * [simplify]: iters left: 2 (221 enodes)
19.385 * * [simplify]: iters left: 1 (444 enodes)
19.614 * * [simplify]: Extracting #0: cost 1 inf + 0
19.614 * * [simplify]: Extracting #1: cost 51 inf + 0
19.615 * * [simplify]: Extracting #2: cost 142 inf + 0
19.616 * * [simplify]: Extracting #3: cost 218 inf + 3
19.618 * * [simplify]: Extracting #4: cost 207 inf + 1377
19.624 * * [simplify]: Extracting #5: cost 133 inf + 19354
19.643 * * [simplify]: Extracting #6: cost 32 inf + 94946
19.660 * * [simplify]: Extracting #7: cost 0 inf + 124129
19.682 * * [simplify]: Extracting #8: cost 0 inf + 120894
19.714 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))
19.715 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))))
19.715 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
19.715 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
19.715 * * [simplify]: iters left: 4 (5 enodes)
19.721 * * [simplify]: iters left: 3 (17 enodes)
19.726 * * [simplify]: iters left: 2 (19 enodes)
19.732 * * [simplify]: Extracting #0: cost 1 inf + 0
19.732 * * [simplify]: Extracting #1: cost 4 inf + 0
19.732 * * [simplify]: Extracting #2: cost 5 inf + 1
19.732 * * [simplify]: Extracting #3: cost 7 inf + 1
19.732 * * [simplify]: Extracting #4: cost 0 inf + 490
19.732 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
19.732 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
19.733 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
19.733 * * [simplify]: iters left: 6 (13 enodes)
19.740 * * [simplify]: iters left: 5 (54 enodes)
19.757 * * [simplify]: iters left: 4 (89 enodes)
19.785 * * [simplify]: iters left: 3 (136 enodes)
19.813 * * [simplify]: iters left: 2 (221 enodes)
19.883 * * [simplify]: iters left: 1 (444 enodes)
20.124 * * [simplify]: Extracting #0: cost 1 inf + 0
20.124 * * [simplify]: Extracting #1: cost 51 inf + 0
20.124 * * [simplify]: Extracting #2: cost 142 inf + 0
20.125 * * [simplify]: Extracting #3: cost 218 inf + 3
20.126 * * [simplify]: Extracting #4: cost 207 inf + 1257
20.129 * * [simplify]: Extracting #5: cost 133 inf + 18954
20.141 * * [simplify]: Extracting #6: cost 32 inf + 92706
20.174 * * [simplify]: Extracting #7: cost 0 inf + 121009
20.210 * * [simplify]: Extracting #8: cost 0 inf + 117774
20.246 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
20.246 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
20.246 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
20.246 * [simplify]: Simplifying (/ 1 (sqrt 1))
20.246 * * [simplify]: iters left: 3 (3 enodes)
20.252 * * [simplify]: iters left: 2 (11 enodes)
20.255 * * [simplify]: iters left: 1 (13 enodes)
20.258 * * [simplify]: Extracting #0: cost 1 inf + 0
20.258 * * [simplify]: Extracting #1: cost 0 inf + 1
20.258 * [simplify]: Simplified to 1
20.258 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
20.258 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
20.259 * * [simplify]: iters left: 6 (12 enodes)
20.265 * * [simplify]: iters left: 5 (51 enodes)
20.282 * * [simplify]: iters left: 4 (86 enodes)
20.309 * * [simplify]: iters left: 3 (133 enodes)
20.352 * * [simplify]: iters left: 2 (218 enodes)
20.394 * * [simplify]: iters left: 1 (444 enodes)
20.583 * * [simplify]: Extracting #0: cost 1 inf + 0
20.583 * * [simplify]: Extracting #1: cost 39 inf + 0
20.584 * * [simplify]: Extracting #2: cost 126 inf + 0
20.585 * * [simplify]: Extracting #3: cost 201 inf + 4
20.586 * * [simplify]: Extracting #4: cost 189 inf + 1508
20.588 * * [simplify]: Extracting #5: cost 135 inf + 9951
20.601 * * [simplify]: Extracting #6: cost 51 inf + 62585
20.628 * * [simplify]: Extracting #7: cost 2 inf + 102691
20.643 * * [simplify]: Extracting #8: cost 0 inf + 104433
20.664 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
20.664 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
20.664 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
20.665 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
20.665 * * [simplify]: iters left: 4 (5 enodes)
20.667 * * [simplify]: iters left: 3 (17 enodes)
20.673 * * [simplify]: iters left: 2 (19 enodes)
20.678 * * [simplify]: Extracting #0: cost 1 inf + 0
20.678 * * [simplify]: Extracting #1: cost 4 inf + 0
20.678 * * [simplify]: Extracting #2: cost 5 inf + 1
20.678 * * [simplify]: Extracting #3: cost 7 inf + 1
20.679 * * [simplify]: Extracting #4: cost 0 inf + 490
20.679 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
20.679 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
20.679 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
20.679 * * [simplify]: iters left: 6 (13 enodes)
20.686 * * [simplify]: iters left: 5 (54 enodes)
20.704 * * [simplify]: iters left: 4 (89 enodes)
20.734 * * [simplify]: iters left: 3 (136 enodes)
20.756 * * [simplify]: iters left: 2 (221 enodes)
20.828 * * [simplify]: iters left: 1 (444 enodes)
21.017 * * [simplify]: Extracting #0: cost 1 inf + 0
21.018 * * [simplify]: Extracting #1: cost 51 inf + 0
21.019 * * [simplify]: Extracting #2: cost 142 inf + 0
21.020 * * [simplify]: Extracting #3: cost 218 inf + 3
21.022 * * [simplify]: Extracting #4: cost 207 inf + 1257
21.028 * * [simplify]: Extracting #5: cost 133 inf + 18954
21.045 * * [simplify]: Extracting #6: cost 32 inf + 92706
21.063 * * [simplify]: Extracting #7: cost 0 inf + 121009
21.095 * * [simplify]: Extracting #8: cost 0 inf + 117774
21.116 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
21.116 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
21.116 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
21.116 * [simplify]: Simplifying (/ 1 1)
21.116 * * [simplify]: iters left: 2 (2 enodes)
21.118 * * [simplify]: iters left: 1 (6 enodes)
21.119 * * [simplify]: Extracting #0: cost 1 inf + 0
21.119 * * [simplify]: Extracting #1: cost 0 inf + 1
21.119 * [simplify]: Simplified to 1
21.119 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
21.119 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
21.119 * * [simplify]: iters left: 6 (12 enodes)
21.125 * * [simplify]: iters left: 5 (51 enodes)
21.140 * * [simplify]: iters left: 4 (86 enodes)
21.153 * * [simplify]: iters left: 3 (133 enodes)
21.182 * * [simplify]: iters left: 2 (218 enodes)
21.244 * * [simplify]: iters left: 1 (444 enodes)
21.460 * * [simplify]: Extracting #0: cost 1 inf + 0
21.460 * * [simplify]: Extracting #1: cost 39 inf + 0
21.460 * * [simplify]: Extracting #2: cost 126 inf + 0
21.461 * * [simplify]: Extracting #3: cost 201 inf + 4
21.462 * * [simplify]: Extracting #4: cost 189 inf + 1508
21.465 * * [simplify]: Extracting #5: cost 135 inf + 9951
21.473 * * [simplify]: Extracting #6: cost 51 inf + 62585
21.495 * * [simplify]: Extracting #7: cost 2 inf + 102691
21.526 * * [simplify]: Extracting #8: cost 0 inf + 104433
21.557 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
21.557 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
21.557 * * * * [progress]: [ 97 / 127 ] 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)))))>
21.557 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
21.557 * * [simplify]: iters left: 6 (15 enodes)
21.562 * * [simplify]: iters left: 5 (65 enodes)
21.573 * * [simplify]: iters left: 4 (109 enodes)
21.600 * * [simplify]: iters left: 3 (185 enodes)
21.647 * * [simplify]: iters left: 2 (368 enodes)
21.754 * * [simplify]: Extracting #0: cost 1 inf + 0
21.754 * * [simplify]: Extracting #1: cost 54 inf + 0
21.754 * * [simplify]: Extracting #2: cost 144 inf + 0
21.755 * * [simplify]: Extracting #3: cost 223 inf + 2
21.756 * * [simplify]: Extracting #4: cost 217 inf + 1415
21.758 * * [simplify]: Extracting #5: cost 166 inf + 8610
21.772 * * [simplify]: Extracting #6: cost 63 inf + 69583
21.798 * * [simplify]: Extracting #7: cost 0 inf + 121597
21.814 * * [simplify]: Extracting #8: cost 0 inf + 120169
21.845 * * [simplify]: Extracting #9: cost 0 inf + 120168
21.863 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
21.863 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))
21.863 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))
21.863 * * [simplify]: iters left: 6 (14 enodes)
21.868 * * [simplify]: iters left: 5 (60 enodes)
21.878 * * [simplify]: iters left: 4 (98 enodes)
21.905 * * [simplify]: iters left: 3 (157 enodes)
21.938 * * [simplify]: iters left: 2 (290 enodes)
22.006 * * [simplify]: Extracting #0: cost 1 inf + 0
22.006 * * [simplify]: Extracting #1: cost 30 inf + 0
22.007 * * [simplify]: Extracting #2: cost 72 inf + 0
22.007 * * [simplify]: Extracting #3: cost 138 inf + 2
22.008 * * [simplify]: Extracting #4: cost 142 inf + 932
22.010 * * [simplify]: Extracting #5: cost 72 inf + 18422
22.017 * * [simplify]: Extracting #6: cost 10 inf + 45090
22.034 * * [simplify]: Extracting #7: cost 0 inf + 51502
22.042 * * [simplify]: Extracting #8: cost 0 inf + 51262
22.051 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
22.051 * [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)))))
22.051 * * * * [progress]: [ 98 / 127 ] 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)))))>
22.052 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k))))
22.052 * * [simplify]: iters left: 6 (15 enodes)
22.056 * * [simplify]: iters left: 5 (64 enodes)
22.069 * * [simplify]: iters left: 4 (102 enodes)
22.097 * * [simplify]: iters left: 3 (161 enodes)
22.129 * * [simplify]: iters left: 2 (288 enodes)
22.201 * * [simplify]: Extracting #0: cost 1 inf + 0
22.201 * * [simplify]: Extracting #1: cost 30 inf + 0
22.201 * * [simplify]: Extracting #2: cost 73 inf + 0
22.202 * * [simplify]: Extracting #3: cost 138 inf + 2
22.203 * * [simplify]: Extracting #4: cost 144 inf + 347
22.205 * * [simplify]: Extracting #5: cost 101 inf + 5180
22.212 * * [simplify]: Extracting #6: cost 44 inf + 26188
22.228 * * [simplify]: Extracting #7: cost 7 inf + 54487
22.242 * * [simplify]: Extracting #8: cost 0 inf + 59312
22.249 * * [simplify]: Extracting #9: cost 0 inf + 58534
22.257 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k)))
22.257 * [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)))))
22.258 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))
22.258 * * [simplify]: iters left: 6 (14 enodes)
22.262 * * [simplify]: iters left: 5 (60 enodes)
22.272 * * [simplify]: iters left: 4 (98 enodes)
22.301 * * [simplify]: iters left: 3 (157 enodes)
22.350 * * [simplify]: iters left: 2 (290 enodes)
22.417 * * [simplify]: Extracting #0: cost 1 inf + 0
22.417 * * [simplify]: Extracting #1: cost 30 inf + 0
22.418 * * [simplify]: Extracting #2: cost 72 inf + 0
22.418 * * [simplify]: Extracting #3: cost 138 inf + 2
22.419 * * [simplify]: Extracting #4: cost 142 inf + 932
22.424 * * [simplify]: Extracting #5: cost 72 inf + 18502
22.440 * * [simplify]: Extracting #6: cost 10 inf + 45170
22.455 * * [simplify]: Extracting #7: cost 0 inf + 51582
22.470 * * [simplify]: Extracting #8: cost 0 inf + 51342
22.485 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
22.485 * [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)))))
22.485 * * * * [progress]: [ 99 / 127 ] 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)))))>
22.485 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
22.485 * * [simplify]: iters left: 6 (14 enodes)
22.489 * * [simplify]: iters left: 5 (60 enodes)
22.499 * * [simplify]: iters left: 4 (98 enodes)
22.516 * * [simplify]: iters left: 3 (157 enodes)
22.553 * * [simplify]: iters left: 2 (290 enodes)
22.626 * * [simplify]: Extracting #0: cost 1 inf + 0
22.627 * * [simplify]: Extracting #1: cost 30 inf + 0
22.627 * * [simplify]: Extracting #2: cost 72 inf + 0
22.627 * * [simplify]: Extracting #3: cost 138 inf + 2
22.632 * * [simplify]: Extracting #4: cost 142 inf + 932
22.637 * * [simplify]: Extracting #5: cost 72 inf + 18102
22.649 * * [simplify]: Extracting #6: cost 10 inf + 44010
22.663 * * [simplify]: Extracting #7: cost 0 inf + 50022
22.677 * * [simplify]: Extracting #8: cost 0 inf + 49782
22.692 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
22.692 * [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)))))
22.693 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
22.693 * * [simplify]: iters left: 6 (14 enodes)
22.700 * * [simplify]: iters left: 5 (60 enodes)
22.712 * * [simplify]: iters left: 4 (98 enodes)
22.727 * * [simplify]: iters left: 3 (157 enodes)
22.779 * * [simplify]: iters left: 2 (290 enodes)
22.849 * * [simplify]: Extracting #0: cost 1 inf + 0
22.849 * * [simplify]: Extracting #1: cost 30 inf + 0
22.849 * * [simplify]: Extracting #2: cost 72 inf + 0
22.849 * * [simplify]: Extracting #3: cost 138 inf + 2
22.850 * * [simplify]: Extracting #4: cost 142 inf + 932
22.853 * * [simplify]: Extracting #5: cost 72 inf + 18102
22.863 * * [simplify]: Extracting #6: cost 10 inf + 44010
22.879 * * [simplify]: Extracting #7: cost 0 inf + 50022
22.895 * * [simplify]: Extracting #8: cost 0 inf + 49782
22.912 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
22.912 * [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)))))
22.912 * * * * [progress]: [ 100 / 127 ] 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))))>
22.912 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1))
22.913 * * [simplify]: iters left: 6 (13 enodes)
22.921 * * [simplify]: iters left: 5 (57 enodes)
22.934 * * [simplify]: iters left: 4 (93 enodes)
22.955 * * [simplify]: iters left: 3 (148 enodes)
22.986 * * [simplify]: iters left: 2 (271 enodes)
23.049 * * [simplify]: iters left: 1 (495 enodes)
23.258 * * [simplify]: Extracting #0: cost 1 inf + 0
23.258 * * [simplify]: Extracting #1: cost 55 inf + 0
23.259 * * [simplify]: Extracting #2: cost 164 inf + 2
23.261 * * [simplify]: Extracting #3: cost 237 inf + 220
23.263 * * [simplify]: Extracting #4: cost 230 inf + 978
23.267 * * [simplify]: Extracting #5: cost 141 inf + 13550
23.274 * * [simplify]: Extracting #6: cost 75 inf + 38571
23.287 * * [simplify]: Extracting #7: cost 10 inf + 93049
23.309 * * [simplify]: Extracting #8: cost 0 inf + 100862
23.326 * * [simplify]: Extracting #9: cost 0 inf + 100439
23.342 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4))
23.342 * [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))))
23.342 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
23.342 * * [simplify]: iters left: 6 (13 enodes)
23.349 * * [simplify]: iters left: 5 (57 enodes)
23.367 * * [simplify]: iters left: 4 (95 enodes)
23.397 * * [simplify]: iters left: 3 (154 enodes)
23.428 * * [simplify]: iters left: 2 (287 enodes)
23.514 * * [simplify]: Extracting #0: cost 1 inf + 0
23.514 * * [simplify]: Extracting #1: cost 30 inf + 0
23.514 * * [simplify]: Extracting #2: cost 73 inf + 0
23.514 * * [simplify]: Extracting #3: cost 136 inf + 3
23.515 * * [simplify]: Extracting #4: cost 132 inf + 1178
23.517 * * [simplify]: Extracting #5: cost 90 inf + 6800
23.521 * * [simplify]: Extracting #6: cost 20 inf + 38881
23.528 * * [simplify]: Extracting #7: cost 0 inf + 54585
23.536 * * [simplify]: Extracting #8: cost 0 inf + 54374
23.543 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))
23.543 * [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))))
23.544 * * * * [progress]: [ 101 / 127 ] 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)))))>
23.544 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
23.544 * * [simplify]: iters left: 6 (14 enodes)
23.548 * * [simplify]: iters left: 5 (60 enodes)
23.562 * * [simplify]: iters left: 4 (98 enodes)
23.593 * * [simplify]: iters left: 3 (157 enodes)
23.628 * * [simplify]: iters left: 2 (290 enodes)
23.713 * * [simplify]: Extracting #0: cost 1 inf + 0
23.713 * * [simplify]: Extracting #1: cost 30 inf + 0
23.713 * * [simplify]: Extracting #2: cost 72 inf + 0
23.714 * * [simplify]: Extracting #3: cost 138 inf + 2
23.715 * * [simplify]: Extracting #4: cost 142 inf + 932
23.721 * * [simplify]: Extracting #5: cost 72 inf + 18102
23.734 * * [simplify]: Extracting #6: cost 10 inf + 44010
23.742 * * [simplify]: Extracting #7: cost 0 inf + 50022
23.751 * * [simplify]: Extracting #8: cost 0 inf + 49782
23.760 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
23.760 * [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)))))
23.760 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
23.760 * * [simplify]: iters left: 6 (14 enodes)
23.766 * * [simplify]: iters left: 5 (60 enodes)
23.785 * * [simplify]: iters left: 4 (98 enodes)
23.816 * * [simplify]: iters left: 3 (157 enodes)
23.875 * * [simplify]: iters left: 2 (290 enodes)
23.988 * * [simplify]: Extracting #0: cost 1 inf + 0
23.988 * * [simplify]: Extracting #1: cost 30 inf + 0
23.988 * * [simplify]: Extracting #2: cost 72 inf + 0
23.989 * * [simplify]: Extracting #3: cost 138 inf + 2
23.990 * * [simplify]: Extracting #4: cost 142 inf + 932
23.994 * * [simplify]: Extracting #5: cost 72 inf + 18102
24.001 * * [simplify]: Extracting #6: cost 10 inf + 44010
24.010 * * [simplify]: Extracting #7: cost 0 inf + 50022
24.018 * * [simplify]: Extracting #8: cost 0 inf + 49782
24.030 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
24.030 * [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)))))
24.030 * * * * [progress]: [ 102 / 127 ] 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))))>
24.030 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1)
24.030 * * [simplify]: iters left: 6 (12 enodes)
24.034 * * [simplify]: iters left: 5 (52 enodes)
24.043 * * [simplify]: iters left: 4 (90 enodes)
24.065 * * [simplify]: iters left: 3 (151 enodes)
24.095 * * [simplify]: iters left: 2 (287 enodes)
24.182 * * [simplify]: Extracting #0: cost 1 inf + 0
24.182 * * [simplify]: Extracting #1: cost 31 inf + 0
24.182 * * [simplify]: Extracting #2: cost 99 inf + 2
24.183 * * [simplify]: Extracting #3: cost 141 inf + 219
24.184 * * [simplify]: Extracting #4: cost 141 inf + 641
24.185 * * [simplify]: Extracting #5: cost 86 inf + 6314
24.189 * * [simplify]: Extracting #6: cost 34 inf + 26657
24.195 * * [simplify]: Extracting #7: cost 3 inf + 48037
24.202 * * [simplify]: Extracting #8: cost 0 inf + 50067
24.213 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
24.213 * [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))))
24.213 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
24.213 * * [simplify]: iters left: 6 (13 enodes)
24.220 * * [simplify]: iters left: 5 (57 enodes)
24.236 * * [simplify]: iters left: 4 (95 enodes)
24.257 * * [simplify]: iters left: 3 (154 enodes)
24.284 * * [simplify]: iters left: 2 (287 enodes)
24.361 * * [simplify]: Extracting #0: cost 1 inf + 0
24.361 * * [simplify]: Extracting #1: cost 30 inf + 0
24.362 * * [simplify]: Extracting #2: cost 73 inf + 0
24.362 * * [simplify]: Extracting #3: cost 136 inf + 3
24.363 * * [simplify]: Extracting #4: cost 132 inf + 1178
24.364 * * [simplify]: Extracting #5: cost 90 inf + 6800
24.372 * * [simplify]: Extracting #6: cost 20 inf + 38881
24.385 * * [simplify]: Extracting #7: cost 0 inf + 54585
24.398 * * [simplify]: Extracting #8: cost 0 inf + 54374
24.411 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k))
24.411 * [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))))
24.411 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
24.411 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
24.411 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
24.411 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
24.412 * [simplify]: Simplifying (cbrt (sqrt k))
24.412 * * [simplify]: iters left: 2 (3 enodes)
24.413 * * [simplify]: iters left: 1 (9 enodes)
24.415 * * [simplify]: Extracting #0: cost 1 inf + 0
24.415 * * [simplify]: Extracting #1: cost 3 inf + 0
24.415 * * [simplify]: Extracting #2: cost 5 inf + 0
24.415 * * [simplify]: Extracting #3: cost 4 inf + 1
24.415 * * [simplify]: Extracting #4: cost 0 inf + 325
24.415 * [simplify]: Simplified to (cbrt (sqrt k))
24.415 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
24.415 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
24.416 * [simplify]: Simplifying (sqrt (cbrt k))
24.416 * * [simplify]: iters left: 2 (3 enodes)
24.417 * * [simplify]: iters left: 1 (9 enodes)
24.418 * * [simplify]: Extracting #0: cost 1 inf + 0
24.418 * * [simplify]: Extracting #1: cost 3 inf + 0
24.418 * * [simplify]: Extracting #2: cost 5 inf + 0
24.418 * * [simplify]: Extracting #3: cost 4 inf + 1
24.418 * * [simplify]: Extracting #4: cost 0 inf + 405
24.418 * [simplify]: Simplified to (sqrt (cbrt k))
24.418 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))
24.418 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
24.418 * [simplify]: Simplifying (sqrt (sqrt k))
24.419 * * [simplify]: iters left: 2 (3 enodes)
24.419 * * [simplify]: iters left: 1 (9 enodes)
24.420 * * [simplify]: Extracting #0: cost 1 inf + 0
24.420 * * [simplify]: Extracting #1: cost 3 inf + 0
24.420 * * [simplify]: Extracting #2: cost 5 inf + 0
24.420 * * [simplify]: Extracting #3: cost 4 inf + 1
24.420 * * [simplify]: Extracting #4: cost 0 inf + 245
24.420 * [simplify]: Simplified to (sqrt (sqrt k))
24.420 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
24.420 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))>
24.421 * [simplify]: Simplifying (sqrt k)
24.421 * * [simplify]: iters left: 1 (2 enodes)
24.421 * * [simplify]: Extracting #0: cost 1 inf + 0
24.421 * * [simplify]: Extracting #1: cost 3 inf + 0
24.421 * * [simplify]: Extracting #2: cost 2 inf + 1
24.421 * * [simplify]: Extracting #3: cost 0 inf + 83
24.421 * [simplify]: Simplified to (sqrt k)
24.421 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))
24.421 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
24.422 * [simplify]: Simplifying (sqrt (sqrt k))
24.422 * * [simplify]: iters left: 2 (3 enodes)
24.422 * * [simplify]: iters left: 1 (9 enodes)
24.423 * * [simplify]: Extracting #0: cost 1 inf + 0
24.423 * * [simplify]: Extracting #1: cost 3 inf + 0
24.423 * * [simplify]: Extracting #2: cost 5 inf + 0
24.423 * * [simplify]: Extracting #3: cost 4 inf + 1
24.424 * * [simplify]: Extracting #4: cost 0 inf + 245
24.424 * [simplify]: Simplified to (sqrt (sqrt k))
24.424 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
24.424 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
24.424 * [simplify]: Simplifying (sqrt k)
24.424 * * [simplify]: iters left: 1 (2 enodes)
24.424 * * [simplify]: Extracting #0: cost 1 inf + 0
24.424 * * [simplify]: Extracting #1: cost 3 inf + 0
24.424 * * [simplify]: Extracting #2: cost 2 inf + 1
24.424 * * [simplify]: Extracting #3: cost 0 inf + 83
24.424 * [simplify]: Simplified to (sqrt k)
24.424 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))
24.425 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))>
24.425 * [simplify]: Simplifying (pow n (/ (- 1 k) 2))
24.425 * * [simplify]: iters left: 5 (7 enodes)
24.427 * * [simplify]: iters left: 4 (32 enodes)
24.434 * * [simplify]: iters left: 3 (57 enodes)
24.446 * * [simplify]: iters left: 2 (88 enodes)
24.464 * * [simplify]: iters left: 1 (156 enodes)
24.509 * * [simplify]: Extracting #0: cost 1 inf + 0
24.509 * * [simplify]: Extracting #1: cost 13 inf + 0
24.509 * * [simplify]: Extracting #2: cost 49 inf + 2
24.510 * * [simplify]: Extracting #3: cost 80 inf + 6
24.510 * * [simplify]: Extracting #4: cost 58 inf + 1840
24.512 * * [simplify]: Extracting #5: cost 22 inf + 9206
24.514 * * [simplify]: Extracting #6: cost 1 inf + 20886
24.517 * * [simplify]: Extracting #7: cost 0 inf + 21301
24.520 * * [simplify]: Extracting #8: cost 0 inf + 21130
24.523 * [simplify]: Simplified to (pow n (/ (- 1 k) 2))
24.523 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))
24.524 * * * * [progress]: [ 113 / 127 ] 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))))))>
24.524 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
24.524 * * [simplify]: iters left: 6 (12 enodes)
24.529 * * [simplify]: iters left: 5 (51 enodes)
24.546 * * [simplify]: iters left: 4 (84 enodes)
24.560 * * [simplify]: iters left: 3 (125 enodes)
24.588 * * [simplify]: iters left: 2 (198 enodes)
24.649 * * [simplify]: iters left: 1 (353 enodes)
24.783 * * [simplify]: Extracting #0: cost 1 inf + 0
24.783 * * [simplify]: Extracting #1: cost 3 inf + 0
24.783 * * [simplify]: Extracting #2: cost 5 inf + 0
24.783 * * [simplify]: Extracting #3: cost 28 inf + 0
24.784 * * [simplify]: Extracting #4: cost 101 inf + 1
24.785 * * [simplify]: Extracting #5: cost 136 inf + 176
24.786 * * [simplify]: Extracting #6: cost 127 inf + 1730
24.790 * * [simplify]: Extracting #7: cost 68 inf + 14428
24.801 * * [simplify]: Extracting #8: cost 24 inf + 38979
24.816 * * [simplify]: Extracting #9: cost 0 inf + 59741
24.827 * * [simplify]: Extracting #10: cost 0 inf + 57850
24.843 * * [simplify]: Extracting #11: cost 0 inf + 57436
24.861 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
24.861 * [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))))))
24.861 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
24.861 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
24.861 * * [simplify]: iters left: 6 (11 enodes)
24.866 * * [simplify]: iters left: 5 (48 enodes)
24.874 * * [simplify]: iters left: 4 (78 enodes)
24.886 * * [simplify]: iters left: 3 (120 enodes)
24.909 * * [simplify]: iters left: 2 (211 enodes)
24.961 * * [simplify]: iters left: 1 (378 enodes)
25.057 * * [simplify]: Extracting #0: cost 1 inf + 0
25.057 * * [simplify]: Extracting #1: cost 4 inf + 0
25.057 * * [simplify]: Extracting #2: cost 28 inf + 0
25.057 * * [simplify]: Extracting #3: cost 111 inf + 1
25.058 * * [simplify]: Extracting #4: cost 151 inf + 220
25.059 * * [simplify]: Extracting #5: cost 149 inf + 601
25.060 * * [simplify]: Extracting #6: cost 109 inf + 5630
25.065 * * [simplify]: Extracting #7: cost 43 inf + 25793
25.086 * * [simplify]: Extracting #8: cost 5 inf + 52343
25.108 * * [simplify]: Extracting #9: cost 0 inf + 56629
25.129 * * [simplify]: Extracting #10: cost 0 inf + 55972
25.150 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
25.150 * [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))))))
25.150 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
25.150 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
25.151 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
25.151 * * [simplify]: iters left: 6 (11 enodes)
25.158 * * [simplify]: iters left: 5 (51 enodes)
25.174 * * [simplify]: iters left: 4 (87 enodes)
25.199 * * [simplify]: iters left: 3 (143 enodes)
25.234 * * [simplify]: iters left: 2 (259 enodes)
25.301 * * [simplify]: iters left: 1 (467 enodes)
25.478 * * [simplify]: Extracting #0: cost 1 inf + 0
25.478 * * [simplify]: Extracting #1: cost 23 inf + 0
25.478 * * [simplify]: Extracting #2: cost 99 inf + 1
25.480 * * [simplify]: Extracting #3: cost 180 inf + 178
25.482 * * [simplify]: Extracting #4: cost 162 inf + 2505
25.488 * * [simplify]: Extracting #5: cost 78 inf + 12096
25.499 * * [simplify]: Extracting #6: cost 33 inf + 29460
25.518 * * [simplify]: Extracting #7: cost 1 inf + 56926
25.538 * * [simplify]: Extracting #8: cost 0 inf + 57804
25.557 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k)))
25.558 * [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)))))
25.558 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
25.558 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2))
25.558 * * [simplify]: iters left: 5 (8 enodes)
25.564 * * [simplify]: iters left: 4 (35 enodes)
25.579 * * [simplify]: iters left: 3 (63 enodes)
25.602 * * [simplify]: iters left: 2 (108 enodes)
25.637 * * [simplify]: iters left: 1 (162 enodes)
25.663 * * [simplify]: Extracting #0: cost 1 inf + 0
25.663 * * [simplify]: Extracting #1: cost 12 inf + 0
25.663 * * [simplify]: Extracting #2: cost 40 inf + 2
25.664 * * [simplify]: Extracting #3: cost 40 inf + 9
25.664 * * [simplify]: Extracting #4: cost 25 inf + 2233
25.666 * * [simplify]: Extracting #5: cost 10 inf + 8991
25.669 * * [simplify]: Extracting #6: cost 0 inf + 14572
25.672 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
25.672 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))
25.673 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
25.673 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
25.673 * [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)))))
25.674 * * [simplify]: iters left: 6 (37 enodes)
25.688 * * [simplify]: iters left: 5 (187 enodes)
25.749 * * [simplify]: iters left: 4 (488 enodes)
26.001 * * [simplify]: Extracting #0: cost 1 inf + 0
26.001 * * [simplify]: Extracting #1: cost 57 inf + 0
26.002 * * [simplify]: Extracting #2: cost 294 inf + 0
26.006 * * [simplify]: Extracting #3: cost 524 inf + 199
26.012 * * [simplify]: Extracting #4: cost 512 inf + 6095
26.036 * * [simplify]: Extracting #5: cost 310 inf + 78036
26.128 * * [simplify]: Extracting #6: cost 40 inf + 220622
26.191 * * [simplify]: Extracting #7: cost 0 inf + 244981
26.257 * * [simplify]: Extracting #8: cost 0 inf + 243455
26.322 * * [simplify]: Extracting #9: cost 0 inf + 243454
26.377 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2))))))))
26.378 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (sqrt k)))
26.378 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
26.378 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
26.379 * * [simplify]: iters left: 6 (15 enodes)
26.388 * * [simplify]: iters left: 5 (65 enodes)
26.402 * * [simplify]: iters left: 4 (123 enodes)
26.442 * * [simplify]: iters left: 3 (361 enodes)
26.575 * * [simplify]: Extracting #0: cost 1 inf + 0
26.575 * * [simplify]: Extracting #1: cost 37 inf + 0
26.576 * * [simplify]: Extracting #2: cost 213 inf + 72
26.579 * * [simplify]: Extracting #3: cost 350 inf + 1716
26.592 * * [simplify]: Extracting #4: cost 221 inf + 30028
26.616 * * [simplify]: Extracting #5: cost 33 inf + 78046
26.637 * * [simplify]: Extracting #6: cost 1 inf + 88785
26.652 * * [simplify]: Extracting #7: cost 0 inf + 88926
26.672 * * [simplify]: Extracting #8: cost 0 inf + 88841
26.689 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))
26.689 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k)))
26.689 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
26.689 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
26.689 * * [simplify]: iters left: 6 (16 enodes)
26.700 * * [simplify]: iters left: 5 (67 enodes)
26.719 * * [simplify]: iters left: 4 (134 enodes)
26.755 * * [simplify]: iters left: 3 (407 enodes)
26.961 * * [simplify]: Extracting #0: cost 1 inf + 0
26.962 * * [simplify]: Extracting #1: cost 39 inf + 0
26.963 * * [simplify]: Extracting #2: cost 241 inf + 72
26.966 * * [simplify]: Extracting #3: cost 449 inf + 888
26.975 * * [simplify]: Extracting #4: cost 283 inf + 39678
26.997 * * [simplify]: Extracting #5: cost 24 inf + 116942
27.027 * * [simplify]: Extracting #6: cost 0 inf + 121984
27.060 * * [simplify]: Extracting #7: cost 0 inf + 121983
27.086 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))
27.087 * [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)))
27.087 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
27.087 * [simplify]: Simplifying (* 2 (* n PI))
27.087 * * [simplify]: iters left: 4 (5 enodes)
27.089 * * [simplify]: iters left: 3 (19 enodes)
27.092 * * [simplify]: iters left: 2 (27 enodes)
27.096 * * [simplify]: iters left: 1 (32 enodes)
27.103 * * [simplify]: Extracting #0: cost 1 inf + 0
27.103 * * [simplify]: Extracting #1: cost 8 inf + 0
27.103 * * [simplify]: Extracting #2: cost 7 inf + 45
27.104 * * [simplify]: Extracting #3: cost 0 inf + 421
27.104 * [simplify]: Simplified to (* (* PI n) 2)
27.104 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
27.104 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
27.104 * [simplify]: Simplifying (* 2 (* n PI))
27.104 * * [simplify]: iters left: 4 (5 enodes)
27.107 * * [simplify]: iters left: 3 (19 enodes)
27.113 * * [simplify]: iters left: 2 (27 enodes)
27.121 * * [simplify]: iters left: 1 (32 enodes)
27.130 * * [simplify]: Extracting #0: cost 1 inf + 0
27.130 * * [simplify]: Extracting #1: cost 8 inf + 0
27.130 * * [simplify]: Extracting #2: cost 7 inf + 45
27.130 * * [simplify]: Extracting #3: cost 0 inf + 421
27.131 * [simplify]: Simplified to (* (* PI n) 2)
27.131 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
27.131 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
27.131 * [simplify]: Simplifying (* 2 (* n PI))
27.131 * * [simplify]: iters left: 4 (5 enodes)
27.134 * * [simplify]: iters left: 3 (19 enodes)
27.140 * * [simplify]: iters left: 2 (27 enodes)
27.146 * * [simplify]: iters left: 1 (32 enodes)
27.150 * * [simplify]: Extracting #0: cost 1 inf + 0
27.150 * * [simplify]: Extracting #1: cost 8 inf + 0
27.150 * * [simplify]: Extracting #2: cost 7 inf + 45
27.150 * * [simplify]: Extracting #3: cost 0 inf + 421
27.150 * [simplify]: Simplified to (* (* PI n) 2)
27.150 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
27.150 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
27.151 * [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))))))))))))))))))))))
27.151 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
27.151 * * * * [progress]: [ 126 / 127 ] 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)))))))))>
27.151 * [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))))))))
27.151 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
27.151 * * * * [progress]: [ 127 / 127 ] 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)))))))))))))>
27.152 * [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))))))))))))
27.152 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
27.152 * * * [progress]: adding candidates to table
28.495 * * [progress]: iteration 2 / 4
28.495 * * * [progress]: picking best candidate
28.523 * * * * [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))))>
28.523 * * * [progress]: localizing error
28.551 * * * [progress]: generating rewritten candidates
28.551 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
28.586 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
28.601 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1)
28.614 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
28.638 * * * [progress]: generating series expansions
28.638 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
28.639 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
28.639 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
28.639 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
28.639 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
28.639 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
28.639 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
28.639 * [taylor]: Taking taylor expansion of 1/4 in k
28.639 * [backup-simplify]: Simplify 1/4 into 1/4
28.639 * [taylor]: Taking taylor expansion of (- 1 k) in k
28.639 * [taylor]: Taking taylor expansion of 1 in k
28.639 * [backup-simplify]: Simplify 1 into 1
28.639 * [taylor]: Taking taylor expansion of k in k
28.639 * [backup-simplify]: Simplify 0 into 0
28.639 * [backup-simplify]: Simplify 1 into 1
28.639 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
28.639 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
28.639 * [taylor]: Taking taylor expansion of 2 in k
28.639 * [backup-simplify]: Simplify 2 into 2
28.639 * [taylor]: Taking taylor expansion of (* n PI) in k
28.639 * [taylor]: Taking taylor expansion of n in k
28.639 * [backup-simplify]: Simplify n into n
28.639 * [taylor]: Taking taylor expansion of PI in k
28.639 * [backup-simplify]: Simplify PI into PI
28.639 * [backup-simplify]: Simplify (* n PI) into (* n PI)
28.639 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
28.639 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
28.639 * [backup-simplify]: Simplify (- 0) into 0
28.640 * [backup-simplify]: Simplify (+ 1 0) into 1
28.640 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
28.640 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
28.640 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
28.640 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
28.640 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
28.640 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
28.640 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
28.640 * [taylor]: Taking taylor expansion of 1/4 in n
28.640 * [backup-simplify]: Simplify 1/4 into 1/4
28.640 * [taylor]: Taking taylor expansion of (- 1 k) in n
28.640 * [taylor]: Taking taylor expansion of 1 in n
28.640 * [backup-simplify]: Simplify 1 into 1
28.640 * [taylor]: Taking taylor expansion of k in n
28.640 * [backup-simplify]: Simplify k into k
28.640 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
28.640 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
28.640 * [taylor]: Taking taylor expansion of 2 in n
28.640 * [backup-simplify]: Simplify 2 into 2
28.640 * [taylor]: Taking taylor expansion of (* n PI) in n
28.640 * [taylor]: Taking taylor expansion of n in n
28.640 * [backup-simplify]: Simplify 0 into 0
28.641 * [backup-simplify]: Simplify 1 into 1
28.641 * [taylor]: Taking taylor expansion of PI in n
28.641 * [backup-simplify]: Simplify PI into PI
28.641 * [backup-simplify]: Simplify (* 0 PI) into 0
28.641 * [backup-simplify]: Simplify (* 2 0) into 0
28.642 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
28.643 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
28.644 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
28.644 * [backup-simplify]: Simplify (- k) into (- k)
28.644 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
28.644 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
28.644 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
28.645 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
28.646 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
28.646 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
28.646 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
28.646 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
28.646 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
28.646 * [taylor]: Taking taylor expansion of 1/4 in n
28.646 * [backup-simplify]: Simplify 1/4 into 1/4
28.646 * [taylor]: Taking taylor expansion of (- 1 k) in n
28.646 * [taylor]: Taking taylor expansion of 1 in n
28.646 * [backup-simplify]: Simplify 1 into 1
28.646 * [taylor]: Taking taylor expansion of k in n
28.646 * [backup-simplify]: Simplify k into k
28.646 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
28.646 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
28.646 * [taylor]: Taking taylor expansion of 2 in n
28.646 * [backup-simplify]: Simplify 2 into 2
28.646 * [taylor]: Taking taylor expansion of (* n PI) in n
28.646 * [taylor]: Taking taylor expansion of n in n
28.646 * [backup-simplify]: Simplify 0 into 0
28.646 * [backup-simplify]: Simplify 1 into 1
28.646 * [taylor]: Taking taylor expansion of PI in n
28.646 * [backup-simplify]: Simplify PI into PI
28.646 * [backup-simplify]: Simplify (* 0 PI) into 0
28.647 * [backup-simplify]: Simplify (* 2 0) into 0
28.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
28.648 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
28.649 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
28.649 * [backup-simplify]: Simplify (- k) into (- k)
28.649 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
28.649 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
28.650 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
28.651 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
28.651 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
28.652 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
28.652 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
28.652 * [taylor]: Taking taylor expansion of 1/4 in k
28.652 * [backup-simplify]: Simplify 1/4 into 1/4
28.652 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
28.652 * [taylor]: Taking taylor expansion of (- 1 k) in k
28.652 * [taylor]: Taking taylor expansion of 1 in k
28.652 * [backup-simplify]: Simplify 1 into 1
28.652 * [taylor]: Taking taylor expansion of k in k
28.652 * [backup-simplify]: Simplify 0 into 0
28.652 * [backup-simplify]: Simplify 1 into 1
28.652 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
28.652 * [taylor]: Taking taylor expansion of (log n) in k
28.652 * [taylor]: Taking taylor expansion of n in k
28.652 * [backup-simplify]: Simplify n into n
28.652 * [backup-simplify]: Simplify (log n) into (log n)
28.652 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
28.652 * [taylor]: Taking taylor expansion of (* 2 PI) in k
28.652 * [taylor]: Taking taylor expansion of 2 in k
28.652 * [backup-simplify]: Simplify 2 into 2
28.652 * [taylor]: Taking taylor expansion of PI in k
28.652 * [backup-simplify]: Simplify PI into PI
28.652 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
28.653 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
28.653 * [backup-simplify]: Simplify (- 0) into 0
28.653 * [backup-simplify]: Simplify (+ 1 0) into 1
28.654 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
28.654 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
28.655 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
28.656 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
28.656 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
28.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
28.658 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
28.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
28.660 * [backup-simplify]: Simplify (- 0) into 0
28.661 * [backup-simplify]: Simplify (+ 0 0) into 0
28.661 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
28.663 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
28.664 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
28.665 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
28.665 * [taylor]: Taking taylor expansion of 0 in k
28.665 * [backup-simplify]: Simplify 0 into 0
28.665 * [backup-simplify]: Simplify 0 into 0
28.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
28.667 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
28.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
28.669 * [backup-simplify]: Simplify (+ 0 0) into 0
28.669 * [backup-simplify]: Simplify (- 1) into -1
28.670 * [backup-simplify]: Simplify (+ 0 -1) into -1
28.671 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
28.673 * [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)))))
28.676 * [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)))))))
28.678 * [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)))))))
28.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
28.681 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
28.684 * [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
28.685 * [backup-simplify]: Simplify (- 0) into 0
28.685 * [backup-simplify]: Simplify (+ 0 0) into 0
28.686 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
28.688 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
28.689 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
28.691 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
28.691 * [taylor]: Taking taylor expansion of 0 in k
28.691 * [backup-simplify]: Simplify 0 into 0
28.691 * [backup-simplify]: Simplify 0 into 0
28.691 * [backup-simplify]: Simplify 0 into 0
28.693 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
28.694 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
28.697 * [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
28.698 * [backup-simplify]: Simplify (+ 0 0) into 0
28.698 * [backup-simplify]: Simplify (- 0) into 0
28.699 * [backup-simplify]: Simplify (+ 0 0) into 0
28.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
28.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
28.706 * [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)))))
28.711 * [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)))))
28.720 * [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)))))))
28.720 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
28.720 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
28.720 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
28.720 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
28.720 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
28.721 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
28.721 * [taylor]: Taking taylor expansion of 1/4 in k
28.721 * [backup-simplify]: Simplify 1/4 into 1/4
28.721 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
28.721 * [taylor]: Taking taylor expansion of 1 in k
28.721 * [backup-simplify]: Simplify 1 into 1
28.721 * [taylor]: Taking taylor expansion of (/ 1 k) in k
28.721 * [taylor]: Taking taylor expansion of k in k
28.721 * [backup-simplify]: Simplify 0 into 0
28.721 * [backup-simplify]: Simplify 1 into 1
28.721 * [backup-simplify]: Simplify (/ 1 1) into 1
28.721 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
28.721 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
28.721 * [taylor]: Taking taylor expansion of 2 in k
28.721 * [backup-simplify]: Simplify 2 into 2
28.721 * [taylor]: Taking taylor expansion of (/ PI n) in k
28.721 * [taylor]: Taking taylor expansion of PI in k
28.721 * [backup-simplify]: Simplify PI into PI
28.721 * [taylor]: Taking taylor expansion of n in k
28.721 * [backup-simplify]: Simplify n into n
28.721 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
28.721 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
28.721 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
28.721 * [backup-simplify]: Simplify (- 1) into -1
28.722 * [backup-simplify]: Simplify (+ 0 -1) into -1
28.722 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
28.722 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
28.722 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
28.722 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
28.722 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
28.722 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
28.722 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
28.722 * [taylor]: Taking taylor expansion of 1/4 in n
28.722 * [backup-simplify]: Simplify 1/4 into 1/4
28.722 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
28.722 * [taylor]: Taking taylor expansion of 1 in n
28.722 * [backup-simplify]: Simplify 1 into 1
28.722 * [taylor]: Taking taylor expansion of (/ 1 k) in n
28.722 * [taylor]: Taking taylor expansion of k in n
28.722 * [backup-simplify]: Simplify k into k
28.722 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
28.722 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
28.722 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
28.722 * [taylor]: Taking taylor expansion of 2 in n
28.722 * [backup-simplify]: Simplify 2 into 2
28.722 * [taylor]: Taking taylor expansion of (/ PI n) in n
28.722 * [taylor]: Taking taylor expansion of PI in n
28.722 * [backup-simplify]: Simplify PI into PI
28.722 * [taylor]: Taking taylor expansion of n in n
28.722 * [backup-simplify]: Simplify 0 into 0
28.722 * [backup-simplify]: Simplify 1 into 1
28.723 * [backup-simplify]: Simplify (/ PI 1) into PI
28.723 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
28.724 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
28.724 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
28.724 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
28.724 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
28.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
28.725 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
28.726 * [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)))))
28.726 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
28.726 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
28.726 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
28.726 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
28.726 * [taylor]: Taking taylor expansion of 1/4 in n
28.726 * [backup-simplify]: Simplify 1/4 into 1/4
28.726 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
28.726 * [taylor]: Taking taylor expansion of 1 in n
28.726 * [backup-simplify]: Simplify 1 into 1
28.726 * [taylor]: Taking taylor expansion of (/ 1 k) in n
28.726 * [taylor]: Taking taylor expansion of k in n
28.726 * [backup-simplify]: Simplify k into k
28.726 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
28.726 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
28.726 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
28.726 * [taylor]: Taking taylor expansion of 2 in n
28.726 * [backup-simplify]: Simplify 2 into 2
28.726 * [taylor]: Taking taylor expansion of (/ PI n) in n
28.726 * [taylor]: Taking taylor expansion of PI in n
28.726 * [backup-simplify]: Simplify PI into PI
28.726 * [taylor]: Taking taylor expansion of n in n
28.726 * [backup-simplify]: Simplify 0 into 0
28.726 * [backup-simplify]: Simplify 1 into 1
28.727 * [backup-simplify]: Simplify (/ PI 1) into PI
28.727 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
28.728 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
28.728 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
28.728 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
28.728 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
28.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
28.729 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
28.730 * [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)))))
28.730 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
28.730 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
28.730 * [taylor]: Taking taylor expansion of 1/4 in k
28.730 * [backup-simplify]: Simplify 1/4 into 1/4
28.730 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
28.730 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
28.730 * [taylor]: Taking taylor expansion of 1 in k
28.730 * [backup-simplify]: Simplify 1 into 1
28.730 * [taylor]: Taking taylor expansion of (/ 1 k) in k
28.730 * [taylor]: Taking taylor expansion of k in k
28.730 * [backup-simplify]: Simplify 0 into 0
28.730 * [backup-simplify]: Simplify 1 into 1
28.730 * [backup-simplify]: Simplify (/ 1 1) into 1
28.730 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
28.730 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
28.730 * [taylor]: Taking taylor expansion of (* 2 PI) in k
28.730 * [taylor]: Taking taylor expansion of 2 in k
28.730 * [backup-simplify]: Simplify 2 into 2
28.731 * [taylor]: Taking taylor expansion of PI in k
28.731 * [backup-simplify]: Simplify PI into PI
28.731 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
28.731 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
28.731 * [taylor]: Taking taylor expansion of (log n) in k
28.731 * [taylor]: Taking taylor expansion of n in k
28.731 * [backup-simplify]: Simplify n into n
28.731 * [backup-simplify]: Simplify (log n) into (log n)
28.732 * [backup-simplify]: Simplify (- 1) into -1
28.732 * [backup-simplify]: Simplify (+ 0 -1) into -1
28.732 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
28.733 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
28.733 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
28.734 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
28.734 * [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)))))
28.735 * [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)))))
28.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
28.736 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
28.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
28.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
28.737 * [backup-simplify]: Simplify (- 0) into 0
28.738 * [backup-simplify]: Simplify (+ 0 0) into 0
28.738 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
28.739 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
28.739 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
28.740 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
28.741 * [taylor]: Taking taylor expansion of 0 in k
28.741 * [backup-simplify]: Simplify 0 into 0
28.741 * [backup-simplify]: Simplify 0 into 0
28.741 * [backup-simplify]: Simplify 0 into 0
28.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
28.743 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
28.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
28.744 * [backup-simplify]: Simplify (- 0) into 0
28.744 * [backup-simplify]: Simplify (+ 0 0) into 0
28.749 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
28.750 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
28.752 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
28.754 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
28.754 * [taylor]: Taking taylor expansion of 0 in k
28.754 * [backup-simplify]: Simplify 0 into 0
28.754 * [backup-simplify]: Simplify 0 into 0
28.754 * [backup-simplify]: Simplify 0 into 0
28.754 * [backup-simplify]: Simplify 0 into 0
28.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.756 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
28.762 * [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
28.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
28.763 * [backup-simplify]: Simplify (- 0) into 0
28.763 * [backup-simplify]: Simplify (+ 0 0) into 0
28.764 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
28.767 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
28.769 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
28.772 * [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
28.772 * [taylor]: Taking taylor expansion of 0 in k
28.772 * [backup-simplify]: Simplify 0 into 0
28.772 * [backup-simplify]: Simplify 0 into 0
28.773 * [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))))))
28.774 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
28.774 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
28.775 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
28.775 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
28.775 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
28.775 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
28.775 * [taylor]: Taking taylor expansion of 1/4 in k
28.775 * [backup-simplify]: Simplify 1/4 into 1/4
28.775 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
28.775 * [taylor]: Taking taylor expansion of (/ 1 k) in k
28.775 * [taylor]: Taking taylor expansion of k in k
28.775 * [backup-simplify]: Simplify 0 into 0
28.775 * [backup-simplify]: Simplify 1 into 1
28.775 * [backup-simplify]: Simplify (/ 1 1) into 1
28.775 * [taylor]: Taking taylor expansion of 1 in k
28.775 * [backup-simplify]: Simplify 1 into 1
28.775 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
28.775 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
28.775 * [taylor]: Taking taylor expansion of -2 in k
28.775 * [backup-simplify]: Simplify -2 into -2
28.776 * [taylor]: Taking taylor expansion of (/ PI n) in k
28.776 * [taylor]: Taking taylor expansion of PI in k
28.776 * [backup-simplify]: Simplify PI into PI
28.776 * [taylor]: Taking taylor expansion of n in k
28.776 * [backup-simplify]: Simplify n into n
28.776 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
28.776 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
28.776 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
28.776 * [backup-simplify]: Simplify (+ 1 0) into 1
28.777 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
28.777 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
28.777 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
28.777 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
28.777 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
28.777 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
28.777 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
28.777 * [taylor]: Taking taylor expansion of 1/4 in n
28.777 * [backup-simplify]: Simplify 1/4 into 1/4
28.777 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
28.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n
28.777 * [taylor]: Taking taylor expansion of k in n
28.777 * [backup-simplify]: Simplify k into k
28.777 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
28.778 * [taylor]: Taking taylor expansion of 1 in n
28.778 * [backup-simplify]: Simplify 1 into 1
28.778 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
28.778 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
28.778 * [taylor]: Taking taylor expansion of -2 in n
28.778 * [backup-simplify]: Simplify -2 into -2
28.778 * [taylor]: Taking taylor expansion of (/ PI n) in n
28.778 * [taylor]: Taking taylor expansion of PI in n
28.778 * [backup-simplify]: Simplify PI into PI
28.778 * [taylor]: Taking taylor expansion of n in n
28.778 * [backup-simplify]: Simplify 0 into 0
28.778 * [backup-simplify]: Simplify 1 into 1
28.778 * [backup-simplify]: Simplify (/ PI 1) into PI
28.779 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
28.780 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
28.780 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
28.780 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
28.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
28.782 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
28.782 * [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)))))
28.782 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
28.782 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
28.782 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
28.782 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
28.782 * [taylor]: Taking taylor expansion of 1/4 in n
28.782 * [backup-simplify]: Simplify 1/4 into 1/4
28.782 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
28.782 * [taylor]: Taking taylor expansion of (/ 1 k) in n
28.782 * [taylor]: Taking taylor expansion of k in n
28.782 * [backup-simplify]: Simplify k into k
28.782 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
28.782 * [taylor]: Taking taylor expansion of 1 in n
28.782 * [backup-simplify]: Simplify 1 into 1
28.782 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
28.782 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
28.782 * [taylor]: Taking taylor expansion of -2 in n
28.782 * [backup-simplify]: Simplify -2 into -2
28.782 * [taylor]: Taking taylor expansion of (/ PI n) in n
28.783 * [taylor]: Taking taylor expansion of PI in n
28.783 * [backup-simplify]: Simplify PI into PI
28.783 * [taylor]: Taking taylor expansion of n in n
28.783 * [backup-simplify]: Simplify 0 into 0
28.783 * [backup-simplify]: Simplify 1 into 1
28.783 * [backup-simplify]: Simplify (/ PI 1) into PI
28.783 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
28.784 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
28.784 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
28.784 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
28.785 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
28.785 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
28.786 * [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)))))
28.786 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
28.786 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
28.786 * [taylor]: Taking taylor expansion of 1/4 in k
28.786 * [backup-simplify]: Simplify 1/4 into 1/4
28.786 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
28.786 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
28.786 * [taylor]: Taking taylor expansion of (/ 1 k) in k
28.786 * [taylor]: Taking taylor expansion of k in k
28.786 * [backup-simplify]: Simplify 0 into 0
28.786 * [backup-simplify]: Simplify 1 into 1
28.786 * [backup-simplify]: Simplify (/ 1 1) into 1
28.786 * [taylor]: Taking taylor expansion of 1 in k
28.786 * [backup-simplify]: Simplify 1 into 1
28.786 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
28.786 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
28.786 * [taylor]: Taking taylor expansion of (* -2 PI) in k
28.786 * [taylor]: Taking taylor expansion of -2 in k
28.786 * [backup-simplify]: Simplify -2 into -2
28.787 * [taylor]: Taking taylor expansion of PI in k
28.787 * [backup-simplify]: Simplify PI into PI
28.787 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
28.787 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
28.787 * [taylor]: Taking taylor expansion of (log n) in k
28.787 * [taylor]: Taking taylor expansion of n in k
28.787 * [backup-simplify]: Simplify n into n
28.787 * [backup-simplify]: Simplify (log n) into (log n)
28.788 * [backup-simplify]: Simplify (+ 1 0) into 1
28.788 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
28.788 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
28.789 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
28.790 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
28.790 * [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)))))
28.791 * [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)))))
28.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
28.792 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
28.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
28.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
28.793 * [backup-simplify]: Simplify (+ 0 0) into 0
28.793 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
28.794 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
28.795 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
28.796 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
28.796 * [taylor]: Taking taylor expansion of 0 in k
28.796 * [backup-simplify]: Simplify 0 into 0
28.796 * [backup-simplify]: Simplify 0 into 0
28.796 * [backup-simplify]: Simplify 0 into 0
28.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.797 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
28.799 * [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
28.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
28.799 * [backup-simplify]: Simplify (+ 0 0) into 0
28.800 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
28.801 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
28.802 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
28.803 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
28.803 * [taylor]: Taking taylor expansion of 0 in k
28.803 * [backup-simplify]: Simplify 0 into 0
28.803 * [backup-simplify]: Simplify 0 into 0
28.803 * [backup-simplify]: Simplify 0 into 0
28.803 * [backup-simplify]: Simplify 0 into 0
28.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.805 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
28.808 * [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
28.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
28.809 * [backup-simplify]: Simplify (+ 0 0) into 0
28.809 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
28.810 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
28.811 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
28.813 * [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
28.813 * [taylor]: Taking taylor expansion of 0 in k
28.813 * [backup-simplify]: Simplify 0 into 0
28.813 * [backup-simplify]: Simplify 0 into 0
28.813 * [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))))))
28.814 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
28.814 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
28.814 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
28.814 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
28.814 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
28.814 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
28.814 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
28.814 * [taylor]: Taking taylor expansion of 1/4 in k
28.814 * [backup-simplify]: Simplify 1/4 into 1/4
28.814 * [taylor]: Taking taylor expansion of (- 1 k) in k
28.814 * [taylor]: Taking taylor expansion of 1 in k
28.814 * [backup-simplify]: Simplify 1 into 1
28.814 * [taylor]: Taking taylor expansion of k in k
28.814 * [backup-simplify]: Simplify 0 into 0
28.814 * [backup-simplify]: Simplify 1 into 1
28.814 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
28.814 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
28.814 * [taylor]: Taking taylor expansion of 2 in k
28.814 * [backup-simplify]: Simplify 2 into 2
28.814 * [taylor]: Taking taylor expansion of (* n PI) in k
28.814 * [taylor]: Taking taylor expansion of n in k
28.814 * [backup-simplify]: Simplify n into n
28.814 * [taylor]: Taking taylor expansion of PI in k
28.814 * [backup-simplify]: Simplify PI into PI
28.814 * [backup-simplify]: Simplify (* n PI) into (* n PI)
28.814 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
28.814 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
28.815 * [backup-simplify]: Simplify (- 0) into 0
28.815 * [backup-simplify]: Simplify (+ 1 0) into 1
28.815 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
28.815 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
28.815 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
28.815 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
28.815 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
28.815 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
28.815 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
28.815 * [taylor]: Taking taylor expansion of 1/4 in n
28.815 * [backup-simplify]: Simplify 1/4 into 1/4
28.815 * [taylor]: Taking taylor expansion of (- 1 k) in n
28.815 * [taylor]: Taking taylor expansion of 1 in n
28.815 * [backup-simplify]: Simplify 1 into 1
28.815 * [taylor]: Taking taylor expansion of k in n
28.815 * [backup-simplify]: Simplify k into k
28.815 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
28.815 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
28.816 * [taylor]: Taking taylor expansion of 2 in n
28.816 * [backup-simplify]: Simplify 2 into 2
28.816 * [taylor]: Taking taylor expansion of (* n PI) in n
28.816 * [taylor]: Taking taylor expansion of n in n
28.816 * [backup-simplify]: Simplify 0 into 0
28.816 * [backup-simplify]: Simplify 1 into 1
28.816 * [taylor]: Taking taylor expansion of PI in n
28.816 * [backup-simplify]: Simplify PI into PI
28.816 * [backup-simplify]: Simplify (* 0 PI) into 0
28.816 * [backup-simplify]: Simplify (* 2 0) into 0
28.817 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
28.818 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
28.818 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
28.819 * [backup-simplify]: Simplify (- k) into (- k)
28.819 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
28.819 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
28.819 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
28.820 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
28.821 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
28.821 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
28.821 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
28.821 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
28.821 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
28.821 * [taylor]: Taking taylor expansion of 1/4 in n
28.821 * [backup-simplify]: Simplify 1/4 into 1/4
28.821 * [taylor]: Taking taylor expansion of (- 1 k) in n
28.821 * [taylor]: Taking taylor expansion of 1 in n
28.821 * [backup-simplify]: Simplify 1 into 1
28.821 * [taylor]: Taking taylor expansion of k in n
28.821 * [backup-simplify]: Simplify k into k
28.821 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
28.821 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
28.821 * [taylor]: Taking taylor expansion of 2 in n
28.821 * [backup-simplify]: Simplify 2 into 2
28.821 * [taylor]: Taking taylor expansion of (* n PI) in n
28.821 * [taylor]: Taking taylor expansion of n in n
28.821 * [backup-simplify]: Simplify 0 into 0
28.821 * [backup-simplify]: Simplify 1 into 1
28.821 * [taylor]: Taking taylor expansion of PI in n
28.821 * [backup-simplify]: Simplify PI into PI
28.821 * [backup-simplify]: Simplify (* 0 PI) into 0
28.822 * [backup-simplify]: Simplify (* 2 0) into 0
28.822 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
28.823 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
28.824 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
28.824 * [backup-simplify]: Simplify (- k) into (- k)
28.824 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
28.824 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
28.825 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
28.825 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
28.826 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
28.826 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
28.826 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
28.826 * [taylor]: Taking taylor expansion of 1/4 in k
28.826 * [backup-simplify]: Simplify 1/4 into 1/4
28.826 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
28.826 * [taylor]: Taking taylor expansion of (- 1 k) in k
28.826 * [taylor]: Taking taylor expansion of 1 in k
28.826 * [backup-simplify]: Simplify 1 into 1
28.826 * [taylor]: Taking taylor expansion of k in k
28.826 * [backup-simplify]: Simplify 0 into 0
28.826 * [backup-simplify]: Simplify 1 into 1
28.826 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
28.826 * [taylor]: Taking taylor expansion of (log n) in k
28.826 * [taylor]: Taking taylor expansion of n in k
28.826 * [backup-simplify]: Simplify n into n
28.826 * [backup-simplify]: Simplify (log n) into (log n)
28.826 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
28.826 * [taylor]: Taking taylor expansion of (* 2 PI) in k
28.826 * [taylor]: Taking taylor expansion of 2 in k
28.826 * [backup-simplify]: Simplify 2 into 2
28.826 * [taylor]: Taking taylor expansion of PI in k
28.826 * [backup-simplify]: Simplify PI into PI
28.827 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
28.827 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
28.828 * [backup-simplify]: Simplify (- 0) into 0
28.828 * [backup-simplify]: Simplify (+ 1 0) into 1
28.828 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
28.829 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
28.830 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
28.830 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
28.831 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
28.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
28.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
28.833 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
28.833 * [backup-simplify]: Simplify (- 0) into 0
28.833 * [backup-simplify]: Simplify (+ 0 0) into 0
28.834 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
28.835 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
28.835 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
28.836 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
28.836 * [taylor]: Taking taylor expansion of 0 in k
28.836 * [backup-simplify]: Simplify 0 into 0
28.836 * [backup-simplify]: Simplify 0 into 0
28.837 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
28.837 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
28.838 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
28.838 * [backup-simplify]: Simplify (+ 0 0) into 0
28.839 * [backup-simplify]: Simplify (- 1) into -1
28.839 * [backup-simplify]: Simplify (+ 0 -1) into -1
28.840 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
28.842 * [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)))))
28.845 * [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)))))))
28.847 * [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)))))))
28.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
28.857 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
28.860 * [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
28.860 * [backup-simplify]: Simplify (- 0) into 0
28.861 * [backup-simplify]: Simplify (+ 0 0) into 0
28.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
28.862 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
28.863 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
28.864 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
28.864 * [taylor]: Taking taylor expansion of 0 in k
28.864 * [backup-simplify]: Simplify 0 into 0
28.864 * [backup-simplify]: Simplify 0 into 0
28.864 * [backup-simplify]: Simplify 0 into 0
28.865 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
28.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
28.867 * [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
28.868 * [backup-simplify]: Simplify (+ 0 0) into 0
28.868 * [backup-simplify]: Simplify (- 0) into 0
28.868 * [backup-simplify]: Simplify (+ 0 0) into 0
28.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
28.871 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
28.873 * [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)))))
28.875 * [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)))))
28.881 * [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)))))))
28.881 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
28.881 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
28.881 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
28.881 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
28.881 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
28.881 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
28.881 * [taylor]: Taking taylor expansion of 1/4 in k
28.881 * [backup-simplify]: Simplify 1/4 into 1/4
28.881 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
28.881 * [taylor]: Taking taylor expansion of 1 in k
28.881 * [backup-simplify]: Simplify 1 into 1
28.881 * [taylor]: Taking taylor expansion of (/ 1 k) in k
28.881 * [taylor]: Taking taylor expansion of k in k
28.881 * [backup-simplify]: Simplify 0 into 0
28.881 * [backup-simplify]: Simplify 1 into 1
28.881 * [backup-simplify]: Simplify (/ 1 1) into 1
28.882 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
28.882 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
28.882 * [taylor]: Taking taylor expansion of 2 in k
28.882 * [backup-simplify]: Simplify 2 into 2
28.882 * [taylor]: Taking taylor expansion of (/ PI n) in k
28.882 * [taylor]: Taking taylor expansion of PI in k
28.882 * [backup-simplify]: Simplify PI into PI
28.882 * [taylor]: Taking taylor expansion of n in k
28.882 * [backup-simplify]: Simplify n into n
28.882 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
28.882 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
28.882 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
28.882 * [backup-simplify]: Simplify (- 1) into -1
28.882 * [backup-simplify]: Simplify (+ 0 -1) into -1
28.883 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
28.883 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
28.883 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
28.883 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
28.883 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
28.883 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
28.883 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
28.883 * [taylor]: Taking taylor expansion of 1/4 in n
28.883 * [backup-simplify]: Simplify 1/4 into 1/4
28.883 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
28.883 * [taylor]: Taking taylor expansion of 1 in n
28.883 * [backup-simplify]: Simplify 1 into 1
28.883 * [taylor]: Taking taylor expansion of (/ 1 k) in n
28.883 * [taylor]: Taking taylor expansion of k in n
28.883 * [backup-simplify]: Simplify k into k
28.883 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
28.883 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
28.883 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
28.883 * [taylor]: Taking taylor expansion of 2 in n
28.883 * [backup-simplify]: Simplify 2 into 2
28.883 * [taylor]: Taking taylor expansion of (/ PI n) in n
28.883 * [taylor]: Taking taylor expansion of PI in n
28.883 * [backup-simplify]: Simplify PI into PI
28.883 * [taylor]: Taking taylor expansion of n in n
28.883 * [backup-simplify]: Simplify 0 into 0
28.883 * [backup-simplify]: Simplify 1 into 1
28.883 * [backup-simplify]: Simplify (/ PI 1) into PI
28.884 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
28.884 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
28.884 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
28.884 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
28.884 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
28.885 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
28.886 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
28.886 * [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)))))
28.887 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
28.887 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
28.887 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
28.887 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
28.887 * [taylor]: Taking taylor expansion of 1/4 in n
28.887 * [backup-simplify]: Simplify 1/4 into 1/4
28.887 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
28.887 * [taylor]: Taking taylor expansion of 1 in n
28.887 * [backup-simplify]: Simplify 1 into 1
28.887 * [taylor]: Taking taylor expansion of (/ 1 k) in n
28.887 * [taylor]: Taking taylor expansion of k in n
28.887 * [backup-simplify]: Simplify k into k
28.887 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
28.887 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
28.887 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
28.887 * [taylor]: Taking taylor expansion of 2 in n
28.887 * [backup-simplify]: Simplify 2 into 2
28.887 * [taylor]: Taking taylor expansion of (/ PI n) in n
28.887 * [taylor]: Taking taylor expansion of PI in n
28.887 * [backup-simplify]: Simplify PI into PI
28.887 * [taylor]: Taking taylor expansion of n in n
28.887 * [backup-simplify]: Simplify 0 into 0
28.887 * [backup-simplify]: Simplify 1 into 1
28.887 * [backup-simplify]: Simplify (/ PI 1) into PI
28.887 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
28.888 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
28.888 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
28.888 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
28.888 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
28.890 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
28.891 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
28.892 * [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)))))
28.892 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
28.892 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
28.892 * [taylor]: Taking taylor expansion of 1/4 in k
28.892 * [backup-simplify]: Simplify 1/4 into 1/4
28.892 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
28.892 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
28.892 * [taylor]: Taking taylor expansion of 1 in k
28.892 * [backup-simplify]: Simplify 1 into 1
28.892 * [taylor]: Taking taylor expansion of (/ 1 k) in k
28.892 * [taylor]: Taking taylor expansion of k in k
28.892 * [backup-simplify]: Simplify 0 into 0
28.892 * [backup-simplify]: Simplify 1 into 1
28.893 * [backup-simplify]: Simplify (/ 1 1) into 1
28.893 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
28.893 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
28.893 * [taylor]: Taking taylor expansion of (* 2 PI) in k
28.893 * [taylor]: Taking taylor expansion of 2 in k
28.893 * [backup-simplify]: Simplify 2 into 2
28.893 * [taylor]: Taking taylor expansion of PI in k
28.893 * [backup-simplify]: Simplify PI into PI
28.893 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
28.894 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
28.894 * [taylor]: Taking taylor expansion of (log n) in k
28.894 * [taylor]: Taking taylor expansion of n in k
28.894 * [backup-simplify]: Simplify n into n
28.895 * [backup-simplify]: Simplify (log n) into (log n)
28.895 * [backup-simplify]: Simplify (- 1) into -1
28.895 * [backup-simplify]: Simplify (+ 0 -1) into -1
28.895 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
28.897 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
28.898 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
28.899 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
28.900 * [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)))))
28.901 * [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)))))
28.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
28.903 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
28.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
28.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
28.905 * [backup-simplify]: Simplify (- 0) into 0
28.905 * [backup-simplify]: Simplify (+ 0 0) into 0
28.905 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
28.906 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
28.907 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
28.908 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
28.908 * [taylor]: Taking taylor expansion of 0 in k
28.908 * [backup-simplify]: Simplify 0 into 0
28.908 * [backup-simplify]: Simplify 0 into 0
28.908 * [backup-simplify]: Simplify 0 into 0
28.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.909 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
28.911 * [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
28.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
28.911 * [backup-simplify]: Simplify (- 0) into 0
28.911 * [backup-simplify]: Simplify (+ 0 0) into 0
28.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
28.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
28.914 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
28.915 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
28.915 * [taylor]: Taking taylor expansion of 0 in k
28.915 * [backup-simplify]: Simplify 0 into 0
28.915 * [backup-simplify]: Simplify 0 into 0
28.915 * [backup-simplify]: Simplify 0 into 0
28.915 * [backup-simplify]: Simplify 0 into 0
28.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
28.919 * [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
28.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
28.920 * [backup-simplify]: Simplify (- 0) into 0
28.920 * [backup-simplify]: Simplify (+ 0 0) into 0
28.921 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
28.922 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
28.923 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
28.924 * [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
28.924 * [taylor]: Taking taylor expansion of 0 in k
28.924 * [backup-simplify]: Simplify 0 into 0
28.924 * [backup-simplify]: Simplify 0 into 0
28.925 * [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))))))
28.925 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
28.925 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
28.925 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
28.925 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
28.925 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
28.925 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
28.925 * [taylor]: Taking taylor expansion of 1/4 in k
28.925 * [backup-simplify]: Simplify 1/4 into 1/4
28.926 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
28.926 * [taylor]: Taking taylor expansion of (/ 1 k) in k
28.926 * [taylor]: Taking taylor expansion of k in k
28.926 * [backup-simplify]: Simplify 0 into 0
28.926 * [backup-simplify]: Simplify 1 into 1
28.926 * [backup-simplify]: Simplify (/ 1 1) into 1
28.926 * [taylor]: Taking taylor expansion of 1 in k
28.926 * [backup-simplify]: Simplify 1 into 1
28.926 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
28.926 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
28.926 * [taylor]: Taking taylor expansion of -2 in k
28.926 * [backup-simplify]: Simplify -2 into -2
28.926 * [taylor]: Taking taylor expansion of (/ PI n) in k
28.926 * [taylor]: Taking taylor expansion of PI in k
28.926 * [backup-simplify]: Simplify PI into PI
28.926 * [taylor]: Taking taylor expansion of n in k
28.926 * [backup-simplify]: Simplify n into n
28.926 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
28.926 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
28.926 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
28.926 * [backup-simplify]: Simplify (+ 1 0) into 1
28.927 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
28.927 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
28.927 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
28.927 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
28.927 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
28.927 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
28.927 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
28.927 * [taylor]: Taking taylor expansion of 1/4 in n
28.927 * [backup-simplify]: Simplify 1/4 into 1/4
28.927 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
28.927 * [taylor]: Taking taylor expansion of (/ 1 k) in n
28.927 * [taylor]: Taking taylor expansion of k in n
28.927 * [backup-simplify]: Simplify k into k
28.927 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
28.927 * [taylor]: Taking taylor expansion of 1 in n
28.927 * [backup-simplify]: Simplify 1 into 1
28.927 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
28.927 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
28.927 * [taylor]: Taking taylor expansion of -2 in n
28.927 * [backup-simplify]: Simplify -2 into -2
28.927 * [taylor]: Taking taylor expansion of (/ PI n) in n
28.927 * [taylor]: Taking taylor expansion of PI in n
28.927 * [backup-simplify]: Simplify PI into PI
28.927 * [taylor]: Taking taylor expansion of n in n
28.927 * [backup-simplify]: Simplify 0 into 0
28.927 * [backup-simplify]: Simplify 1 into 1
28.928 * [backup-simplify]: Simplify (/ PI 1) into PI
28.928 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
28.929 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
28.929 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
28.929 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
28.929 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
28.930 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
28.931 * [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)))))
28.931 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
28.931 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
28.931 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
28.931 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
28.931 * [taylor]: Taking taylor expansion of 1/4 in n
28.931 * [backup-simplify]: Simplify 1/4 into 1/4
28.931 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
28.931 * [taylor]: Taking taylor expansion of (/ 1 k) in n
28.931 * [taylor]: Taking taylor expansion of k in n
28.931 * [backup-simplify]: Simplify k into k
28.931 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
28.931 * [taylor]: Taking taylor expansion of 1 in n
28.931 * [backup-simplify]: Simplify 1 into 1
28.931 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
28.931 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
28.931 * [taylor]: Taking taylor expansion of -2 in n
28.931 * [backup-simplify]: Simplify -2 into -2
28.931 * [taylor]: Taking taylor expansion of (/ PI n) in n
28.931 * [taylor]: Taking taylor expansion of PI in n
28.931 * [backup-simplify]: Simplify PI into PI
28.931 * [taylor]: Taking taylor expansion of n in n
28.931 * [backup-simplify]: Simplify 0 into 0
28.931 * [backup-simplify]: Simplify 1 into 1
28.931 * [backup-simplify]: Simplify (/ PI 1) into PI
28.932 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
28.932 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
28.932 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
28.933 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
28.934 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
28.935 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
28.936 * [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)))))
28.936 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
28.936 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
28.936 * [taylor]: Taking taylor expansion of 1/4 in k
28.936 * [backup-simplify]: Simplify 1/4 into 1/4
28.936 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
28.936 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
28.936 * [taylor]: Taking taylor expansion of (/ 1 k) in k
28.936 * [taylor]: Taking taylor expansion of k in k
28.936 * [backup-simplify]: Simplify 0 into 0
28.936 * [backup-simplify]: Simplify 1 into 1
28.937 * [backup-simplify]: Simplify (/ 1 1) into 1
28.937 * [taylor]: Taking taylor expansion of 1 in k
28.937 * [backup-simplify]: Simplify 1 into 1
28.937 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
28.937 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
28.937 * [taylor]: Taking taylor expansion of (* -2 PI) in k
28.937 * [taylor]: Taking taylor expansion of -2 in k
28.937 * [backup-simplify]: Simplify -2 into -2
28.937 * [taylor]: Taking taylor expansion of PI in k
28.937 * [backup-simplify]: Simplify PI into PI
28.937 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
28.938 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
28.938 * [taylor]: Taking taylor expansion of (log n) in k
28.938 * [taylor]: Taking taylor expansion of n in k
28.939 * [backup-simplify]: Simplify n into n
28.939 * [backup-simplify]: Simplify (log n) into (log n)
28.939 * [backup-simplify]: Simplify (+ 1 0) into 1
28.939 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
28.940 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
28.941 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
28.942 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
28.943 * [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)))))
28.944 * [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)))))
28.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
28.946 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
28.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
28.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
28.948 * [backup-simplify]: Simplify (+ 0 0) into 0
28.949 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
28.949 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
28.950 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
28.951 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
28.951 * [taylor]: Taking taylor expansion of 0 in k
28.951 * [backup-simplify]: Simplify 0 into 0
28.951 * [backup-simplify]: Simplify 0 into 0
28.951 * [backup-simplify]: Simplify 0 into 0
28.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.957 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
28.958 * [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
28.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
28.959 * [backup-simplify]: Simplify (+ 0 0) into 0
28.959 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
28.960 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
28.961 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
28.963 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
28.963 * [taylor]: Taking taylor expansion of 0 in k
28.963 * [backup-simplify]: Simplify 0 into 0
28.963 * [backup-simplify]: Simplify 0 into 0
28.963 * [backup-simplify]: Simplify 0 into 0
28.963 * [backup-simplify]: Simplify 0 into 0
28.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.964 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
28.967 * [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
28.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
28.968 * [backup-simplify]: Simplify (+ 0 0) into 0
28.968 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
28.969 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
28.970 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
28.972 * [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
28.972 * [taylor]: Taking taylor expansion of 0 in k
28.972 * [backup-simplify]: Simplify 0 into 0
28.972 * [backup-simplify]: Simplify 0 into 0
28.973 * [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))))))
28.973 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1)
28.973 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
28.973 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
28.973 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
28.973 * [taylor]: Taking taylor expansion of 2 in n
28.973 * [backup-simplify]: Simplify 2 into 2
28.973 * [taylor]: Taking taylor expansion of (* n PI) in n
28.973 * [taylor]: Taking taylor expansion of n in n
28.973 * [backup-simplify]: Simplify 0 into 0
28.973 * [backup-simplify]: Simplify 1 into 1
28.973 * [taylor]: Taking taylor expansion of PI in n
28.973 * [backup-simplify]: Simplify PI into PI
28.973 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
28.973 * [taylor]: Taking taylor expansion of 2 in n
28.973 * [backup-simplify]: Simplify 2 into 2
28.973 * [taylor]: Taking taylor expansion of (* n PI) in n
28.973 * [taylor]: Taking taylor expansion of n in n
28.973 * [backup-simplify]: Simplify 0 into 0
28.973 * [backup-simplify]: Simplify 1 into 1
28.973 * [taylor]: Taking taylor expansion of PI in n
28.973 * [backup-simplify]: Simplify PI into PI
28.973 * [backup-simplify]: Simplify (* 0 PI) into 0
28.974 * [backup-simplify]: Simplify (* 2 0) into 0
28.974 * [backup-simplify]: Simplify 0 into 0
28.975 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
28.976 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
28.976 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
28.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
28.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
28.977 * [backup-simplify]: Simplify 0 into 0
28.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
28.980 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
28.980 * [backup-simplify]: Simplify 0 into 0
28.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
28.982 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
28.982 * [backup-simplify]: Simplify 0 into 0
28.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
28.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
28.985 * [backup-simplify]: Simplify 0 into 0
28.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
28.989 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
28.989 * [backup-simplify]: Simplify 0 into 0
28.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
28.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
28.992 * [backup-simplify]: Simplify 0 into 0
28.993 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
28.993 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
28.993 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
28.993 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
28.993 * [taylor]: Taking taylor expansion of 2 in n
28.993 * [backup-simplify]: Simplify 2 into 2
28.993 * [taylor]: Taking taylor expansion of (/ PI n) in n
28.993 * [taylor]: Taking taylor expansion of PI in n
28.993 * [backup-simplify]: Simplify PI into PI
28.993 * [taylor]: Taking taylor expansion of n in n
28.993 * [backup-simplify]: Simplify 0 into 0
28.994 * [backup-simplify]: Simplify 1 into 1
28.994 * [backup-simplify]: Simplify (/ PI 1) into PI
28.994 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
28.994 * [taylor]: Taking taylor expansion of 2 in n
28.994 * [backup-simplify]: Simplify 2 into 2
28.994 * [taylor]: Taking taylor expansion of (/ PI n) in n
28.994 * [taylor]: Taking taylor expansion of PI in n
28.994 * [backup-simplify]: Simplify PI into PI
28.994 * [taylor]: Taking taylor expansion of n in n
28.994 * [backup-simplify]: Simplify 0 into 0
28.994 * [backup-simplify]: Simplify 1 into 1
28.994 * [backup-simplify]: Simplify (/ PI 1) into PI
28.995 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
28.995 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
28.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
28.996 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
28.996 * [backup-simplify]: Simplify 0 into 0
28.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
28.997 * [backup-simplify]: Simplify 0 into 0
28.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.998 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
28.998 * [backup-simplify]: Simplify 0 into 0
28.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.000 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.000 * [backup-simplify]: Simplify 0 into 0
29.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.001 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.001 * [backup-simplify]: Simplify 0 into 0
29.002 * [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
29.003 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.003 * [backup-simplify]: Simplify 0 into 0
29.003 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
29.003 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
29.003 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
29.003 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.004 * [taylor]: Taking taylor expansion of -2 in n
29.004 * [backup-simplify]: Simplify -2 into -2
29.004 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.004 * [taylor]: Taking taylor expansion of PI in n
29.004 * [backup-simplify]: Simplify PI into PI
29.004 * [taylor]: Taking taylor expansion of n in n
29.004 * [backup-simplify]: Simplify 0 into 0
29.004 * [backup-simplify]: Simplify 1 into 1
29.004 * [backup-simplify]: Simplify (/ PI 1) into PI
29.004 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.004 * [taylor]: Taking taylor expansion of -2 in n
29.004 * [backup-simplify]: Simplify -2 into -2
29.004 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.004 * [taylor]: Taking taylor expansion of PI in n
29.004 * [backup-simplify]: Simplify PI into PI
29.004 * [taylor]: Taking taylor expansion of n in n
29.004 * [backup-simplify]: Simplify 0 into 0
29.004 * [backup-simplify]: Simplify 1 into 1
29.004 * [backup-simplify]: Simplify (/ PI 1) into PI
29.005 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.005 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.006 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
29.006 * [backup-simplify]: Simplify 0 into 0
29.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.007 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
29.007 * [backup-simplify]: Simplify 0 into 0
29.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.009 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.009 * [backup-simplify]: Simplify 0 into 0
29.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.010 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.010 * [backup-simplify]: Simplify 0 into 0
29.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.012 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.012 * [backup-simplify]: Simplify 0 into 0
29.012 * [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
29.013 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.013 * [backup-simplify]: Simplify 0 into 0
29.014 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
29.014 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
29.014 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
29.014 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
29.014 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.014 * [taylor]: Taking taylor expansion of 2 in n
29.014 * [backup-simplify]: Simplify 2 into 2
29.014 * [taylor]: Taking taylor expansion of (* n PI) in n
29.014 * [taylor]: Taking taylor expansion of n in n
29.014 * [backup-simplify]: Simplify 0 into 0
29.014 * [backup-simplify]: Simplify 1 into 1
29.014 * [taylor]: Taking taylor expansion of PI in n
29.014 * [backup-simplify]: Simplify PI into PI
29.014 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
29.014 * [taylor]: Taking taylor expansion of 2 in n
29.014 * [backup-simplify]: Simplify 2 into 2
29.014 * [taylor]: Taking taylor expansion of (* n PI) in n
29.014 * [taylor]: Taking taylor expansion of n in n
29.014 * [backup-simplify]: Simplify 0 into 0
29.014 * [backup-simplify]: Simplify 1 into 1
29.014 * [taylor]: Taking taylor expansion of PI in n
29.014 * [backup-simplify]: Simplify PI into PI
29.015 * [backup-simplify]: Simplify (* 0 PI) into 0
29.015 * [backup-simplify]: Simplify (* 2 0) into 0
29.015 * [backup-simplify]: Simplify 0 into 0
29.016 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
29.017 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
29.017 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
29.018 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
29.018 * [backup-simplify]: Simplify 0 into 0
29.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
29.019 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
29.019 * [backup-simplify]: Simplify 0 into 0
29.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
29.022 * [backup-simplify]: Simplify 0 into 0
29.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.025 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
29.025 * [backup-simplify]: Simplify 0 into 0
29.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.028 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
29.028 * [backup-simplify]: Simplify 0 into 0
29.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
29.032 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
29.032 * [backup-simplify]: Simplify 0 into 0
29.032 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
29.033 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
29.033 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
29.033 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.033 * [taylor]: Taking taylor expansion of 2 in n
29.033 * [backup-simplify]: Simplify 2 into 2
29.033 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.033 * [taylor]: Taking taylor expansion of PI in n
29.033 * [backup-simplify]: Simplify PI into PI
29.033 * [taylor]: Taking taylor expansion of n in n
29.033 * [backup-simplify]: Simplify 0 into 0
29.033 * [backup-simplify]: Simplify 1 into 1
29.034 * [backup-simplify]: Simplify (/ PI 1) into PI
29.034 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
29.034 * [taylor]: Taking taylor expansion of 2 in n
29.034 * [backup-simplify]: Simplify 2 into 2
29.034 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.034 * [taylor]: Taking taylor expansion of PI in n
29.034 * [backup-simplify]: Simplify PI into PI
29.034 * [taylor]: Taking taylor expansion of n in n
29.034 * [backup-simplify]: Simplify 0 into 0
29.034 * [backup-simplify]: Simplify 1 into 1
29.034 * [backup-simplify]: Simplify (/ PI 1) into PI
29.035 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.035 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
29.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.037 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
29.037 * [backup-simplify]: Simplify 0 into 0
29.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.039 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
29.039 * [backup-simplify]: Simplify 0 into 0
29.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.041 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.041 * [backup-simplify]: Simplify 0 into 0
29.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.043 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.043 * [backup-simplify]: Simplify 0 into 0
29.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.046 * [backup-simplify]: Simplify 0 into 0
29.047 * [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
29.048 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.048 * [backup-simplify]: Simplify 0 into 0
29.049 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
29.049 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
29.050 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
29.050 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.050 * [taylor]: Taking taylor expansion of -2 in n
29.050 * [backup-simplify]: Simplify -2 into -2
29.050 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.050 * [taylor]: Taking taylor expansion of PI in n
29.050 * [backup-simplify]: Simplify PI into PI
29.050 * [taylor]: Taking taylor expansion of n in n
29.050 * [backup-simplify]: Simplify 0 into 0
29.050 * [backup-simplify]: Simplify 1 into 1
29.050 * [backup-simplify]: Simplify (/ PI 1) into PI
29.050 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
29.050 * [taylor]: Taking taylor expansion of -2 in n
29.050 * [backup-simplify]: Simplify -2 into -2
29.050 * [taylor]: Taking taylor expansion of (/ PI n) in n
29.050 * [taylor]: Taking taylor expansion of PI in n
29.050 * [backup-simplify]: Simplify PI into PI
29.050 * [taylor]: Taking taylor expansion of n in n
29.050 * [backup-simplify]: Simplify 0 into 0
29.050 * [backup-simplify]: Simplify 1 into 1
29.051 * [backup-simplify]: Simplify (/ PI 1) into PI
29.051 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.052 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
29.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
29.053 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
29.053 * [backup-simplify]: Simplify 0 into 0
29.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.055 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
29.055 * [backup-simplify]: Simplify 0 into 0
29.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.058 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
29.058 * [backup-simplify]: Simplify 0 into 0
29.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.060 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
29.060 * [backup-simplify]: Simplify 0 into 0
29.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
29.062 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
29.062 * [backup-simplify]: Simplify 0 into 0
29.064 * [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
29.448 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
29.448 * [backup-simplify]: Simplify 0 into 0
29.449 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
29.449 * * * [progress]: simplifying candidates
29.449 * * * * [progress]: [ 1 / 226 ] 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))))>
29.449 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
29.450 * * [simplify]: iters left: 6 (14 enodes)
29.454 * * [simplify]: iters left: 5 (60 enodes)
29.464 * * [simplify]: iters left: 4 (108 enodes)
29.483 * * [simplify]: iters left: 3 (249 enodes)
29.558 * * [simplify]: Extracting #0: cost 1 inf + 0
29.558 * * [simplify]: Extracting #1: cost 28 inf + 0
29.559 * * [simplify]: Extracting #2: cost 114 inf + 2
29.559 * * [simplify]: Extracting #3: cost 151 inf + 301
29.561 * * [simplify]: Extracting #4: cost 84 inf + 10352
29.565 * * [simplify]: Extracting #5: cost 17 inf + 27228
29.570 * * [simplify]: Extracting #6: cost 0 inf + 31848
29.576 * * [simplify]: Extracting #7: cost 0 inf + 31808
29.582 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))
29.582 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))) (sqrt k))))
29.582 * * * * [progress]: [ 2 / 226 ] 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))))>
29.582 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
29.583 * * [simplify]: iters left: 6 (13 enodes)
29.587 * * [simplify]: iters left: 5 (58 enodes)
29.596 * * [simplify]: iters left: 4 (101 enodes)
29.615 * * [simplify]: iters left: 3 (207 enodes)
29.665 * * [simplify]: iters left: 2 (498 enodes)
29.782 * * [simplify]: Extracting #0: cost 1 inf + 0
29.782 * * [simplify]: Extracting #1: cost 58 inf + 0
29.783 * * [simplify]: Extracting #2: cost 205 inf + 4
29.784 * * [simplify]: Extracting #3: cost 244 inf + 1075
29.787 * * [simplify]: Extracting #4: cost 137 inf + 20618
29.797 * * [simplify]: Extracting #5: cost 12 inf + 54441
29.809 * * [simplify]: Extracting #6: cost 0 inf + 58827
29.824 * * [simplify]: Extracting #7: cost 0 inf + 58826
29.835 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)
29.836 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)) (sqrt k))))
29.836 * * * * [progress]: [ 3 / 226 ] 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))))>
29.836 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
29.836 * * [simplify]: iters left: 6 (12 enodes)
29.840 * * [simplify]: iters left: 5 (57 enodes)
29.849 * * [simplify]: iters left: 4 (111 enodes)
29.868 * * [simplify]: iters left: 3 (212 enodes)
29.927 * * [simplify]: iters left: 2 (446 enodes)
30.042 * * [simplify]: Extracting #0: cost 1 inf + 0
30.042 * * [simplify]: Extracting #1: cost 34 inf + 0
30.043 * * [simplify]: Extracting #2: cost 143 inf + 4
30.043 * * [simplify]: Extracting #3: cost 200 inf + 396
30.045 * * [simplify]: Extracting #4: cost 133 inf + 9596
30.051 * * [simplify]: Extracting #5: cost 32 inf + 30294
30.059 * * [simplify]: Extracting #6: cost 1 inf + 36989
30.070 * * [simplify]: Extracting #7: cost 0 inf + 37182
30.078 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
30.078 * [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))))
30.078 * * * * [progress]: [ 4 / 226 ] 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))))>
30.078 * * * * [progress]: [ 5 / 226 ] 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))))>
30.078 * [simplify]: Simplifying (* n (* 2 PI))
30.078 * * [simplify]: iters left: 4 (5 enodes)
30.080 * * [simplify]: iters left: 3 (19 enodes)
30.083 * * [simplify]: iters left: 2 (27 enodes)
30.089 * * [simplify]: iters left: 1 (32 enodes)
30.096 * * [simplify]: Extracting #0: cost 1 inf + 0
30.096 * * [simplify]: Extracting #1: cost 8 inf + 0
30.097 * * [simplify]: Extracting #2: cost 7 inf + 45
30.097 * * [simplify]: Extracting #3: cost 0 inf + 421
30.097 * [simplify]: Simplified to (* (* PI 2) n)
30.097 * [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))))
30.097 * * * * [progress]: [ 6 / 226 ] 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))))>
30.098 * [simplify]: Simplifying (* n (* 2 PI))
30.098 * * [simplify]: iters left: 4 (5 enodes)
30.101 * * [simplify]: iters left: 3 (19 enodes)
30.107 * * [simplify]: iters left: 2 (27 enodes)
30.114 * * [simplify]: iters left: 1 (32 enodes)
30.118 * * [simplify]: Extracting #0: cost 1 inf + 0
30.118 * * [simplify]: Extracting #1: cost 8 inf + 0
30.118 * * [simplify]: Extracting #2: cost 7 inf + 45
30.118 * * [simplify]: Extracting #3: cost 0 inf + 421
30.118 * [simplify]: Simplified to (* (* PI 2) n)
30.118 * [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))))
30.118 * * * * [progress]: [ 7 / 226 ] 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))))>
30.118 * [simplify]: Simplifying (* n (* 2 PI))
30.118 * * [simplify]: iters left: 4 (5 enodes)
30.120 * * [simplify]: iters left: 3 (19 enodes)
30.123 * * [simplify]: iters left: 2 (27 enodes)
30.127 * * [simplify]: iters left: 1 (32 enodes)
30.131 * * [simplify]: Extracting #0: cost 1 inf + 0
30.131 * * [simplify]: Extracting #1: cost 8 inf + 0
30.131 * * [simplify]: Extracting #2: cost 7 inf + 45
30.131 * * [simplify]: Extracting #3: cost 0 inf + 421
30.131 * [simplify]: Simplified to (* (* PI 2) n)
30.131 * [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))))
30.131 * * * * [progress]: [ 8 / 226 ] 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))))>
30.132 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
30.132 * * [simplify]: iters left: 5 (9 enodes)
30.134 * * [simplify]: iters left: 4 (37 enodes)
30.140 * * [simplify]: iters left: 3 (57 enodes)
30.154 * * [simplify]: iters left: 2 (93 enodes)
30.188 * * [simplify]: iters left: 1 (170 enodes)
30.248 * * [simplify]: Extracting #0: cost 1 inf + 0
30.248 * * [simplify]: Extracting #1: cost 13 inf + 0
30.248 * * [simplify]: Extracting #2: cost 59 inf + 1
30.249 * * [simplify]: Extracting #3: cost 78 inf + 176
30.250 * * [simplify]: Extracting #4: cost 40 inf + 3875
30.255 * * [simplify]: Extracting #5: cost 7 inf + 16988
30.261 * * [simplify]: Extracting #6: cost 0 inf + 20577
30.267 * * [simplify]: Extracting #7: cost 0 inf + 20336
30.273 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
30.273 * [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))))
30.273 * * * * [progress]: [ 9 / 226 ] 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))))>
30.273 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
30.274 * * [simplify]: iters left: 6 (7 enodes)
30.279 * * [simplify]: iters left: 5 (32 enodes)
30.285 * * [simplify]: iters left: 4 (47 enodes)
30.293 * * [simplify]: iters left: 3 (53 enodes)
30.304 * * [simplify]: iters left: 2 (60 enodes)
30.316 * * [simplify]: Extracting #0: cost 1 inf + 0
30.316 * * [simplify]: Extracting #1: cost 3 inf + 0
30.316 * * [simplify]: Extracting #2: cost 11 inf + 0
30.316 * * [simplify]: Extracting #3: cost 17 inf + 3
30.316 * * [simplify]: Extracting #4: cost 14 inf + 129
30.316 * * [simplify]: Extracting #5: cost 3 inf + 794
30.317 * * [simplify]: Extracting #6: cost 0 inf + 1162
30.317 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
30.318 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (sqrt k))))
30.318 * * * * [progress]: [ 10 / 226 ] 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))))>
30.318 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
30.318 * * [simplify]: iters left: 6 (7 enodes)
30.323 * * [simplify]: iters left: 5 (32 enodes)
30.334 * * [simplify]: iters left: 4 (47 enodes)
30.348 * * [simplify]: iters left: 3 (53 enodes)
30.363 * * [simplify]: iters left: 2 (60 enodes)
30.380 * * [simplify]: Extracting #0: cost 1 inf + 0
30.380 * * [simplify]: Extracting #1: cost 3 inf + 0
30.380 * * [simplify]: Extracting #2: cost 11 inf + 0
30.380 * * [simplify]: Extracting #3: cost 17 inf + 3
30.380 * * [simplify]: Extracting #4: cost 14 inf + 129
30.381 * * [simplify]: Extracting #5: cost 3 inf + 794
30.381 * * [simplify]: Extracting #6: cost 0 inf + 1082
30.382 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
30.382 * [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))))
30.382 * * * * [progress]: [ 11 / 226 ] 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))))>
30.382 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
30.382 * * [simplify]: iters left: 6 (8 enodes)
30.387 * * [simplify]: iters left: 5 (32 enodes)
30.398 * * [simplify]: iters left: 4 (41 enodes)
30.410 * * [simplify]: Extracting #0: cost 1 inf + 0
30.410 * * [simplify]: Extracting #1: cost 4 inf + 0
30.410 * * [simplify]: Extracting #2: cost 8 inf + 0
30.410 * * [simplify]: Extracting #3: cost 9 inf + 163
30.410 * * [simplify]: Extracting #4: cost 13 inf + 164
30.411 * * [simplify]: Extracting #5: cost 10 inf + 249
30.411 * * [simplify]: Extracting #6: cost 3 inf + 986
30.411 * * [simplify]: Extracting #7: cost 0 inf + 1474
30.412 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
30.412 * [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))))
30.412 * * * * [progress]: [ 12 / 226 ] 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))))>
30.412 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
30.412 * * [simplify]: iters left: 6 (8 enodes)
30.417 * * [simplify]: iters left: 5 (32 enodes)
30.428 * * [simplify]: iters left: 4 (41 enodes)
30.442 * * [simplify]: Extracting #0: cost 1 inf + 0
30.442 * * [simplify]: Extracting #1: cost 4 inf + 0
30.442 * * [simplify]: Extracting #2: cost 8 inf + 0
30.442 * * [simplify]: Extracting #3: cost 9 inf + 83
30.442 * * [simplify]: Extracting #4: cost 13 inf + 84
30.442 * * [simplify]: Extracting #5: cost 10 inf + 169
30.443 * * [simplify]: Extracting #6: cost 3 inf + 866
30.443 * * [simplify]: Extracting #7: cost 0 inf + 1314
30.444 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
30.444 * [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))))
30.444 * * * * [progress]: [ 13 / 226 ] 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))))>
30.444 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
30.445 * * [simplify]: iters left: 6 (7 enodes)
30.449 * * [simplify]: iters left: 5 (29 enodes)
30.454 * * [simplify]: iters left: 4 (38 enodes)
30.460 * * [simplify]: Extracting #0: cost 1 inf + 0
30.460 * * [simplify]: Extracting #1: cost 4 inf + 0
30.460 * * [simplify]: Extracting #2: cost 5 inf + 1
30.460 * * [simplify]: Extracting #3: cost 9 inf + 1
30.460 * * [simplify]: Extracting #4: cost 13 inf + 2
30.460 * * [simplify]: Extracting #5: cost 12 inf + 4
30.460 * * [simplify]: Extracting #6: cost 2 inf + 746
30.460 * * [simplify]: Extracting #7: cost 0 inf + 1152
30.461 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
30.461 * [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))))
30.461 * * * * [progress]: [ 14 / 226 ] 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))))>
30.461 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
30.461 * * [simplify]: iters left: 6 (8 enodes)
30.464 * * [simplify]: iters left: 5 (32 enodes)
30.470 * * [simplify]: iters left: 4 (41 enodes)
30.482 * * [simplify]: Extracting #0: cost 1 inf + 0
30.482 * * [simplify]: Extracting #1: cost 4 inf + 0
30.482 * * [simplify]: Extracting #2: cost 8 inf + 0
30.482 * * [simplify]: Extracting #3: cost 9 inf + 163
30.483 * * [simplify]: Extracting #4: cost 13 inf + 164
30.483 * * [simplify]: Extracting #5: cost 10 inf + 249
30.483 * * [simplify]: Extracting #6: cost 3 inf + 906
30.484 * * [simplify]: Extracting #7: cost 0 inf + 1314
30.484 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
30.484 * [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))))
30.484 * * * * [progress]: [ 15 / 226 ] 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))))>
30.485 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
30.485 * * [simplify]: iters left: 6 (8 enodes)
30.490 * * [simplify]: iters left: 5 (32 enodes)
30.500 * * [simplify]: iters left: 4 (41 enodes)
30.512 * * [simplify]: Extracting #0: cost 1 inf + 0
30.512 * * [simplify]: Extracting #1: cost 4 inf + 0
30.512 * * [simplify]: Extracting #2: cost 8 inf + 0
30.512 * * [simplify]: Extracting #3: cost 9 inf + 83
30.512 * * [simplify]: Extracting #4: cost 13 inf + 84
30.512 * * [simplify]: Extracting #5: cost 10 inf + 169
30.512 * * [simplify]: Extracting #6: cost 3 inf + 786
30.513 * * [simplify]: Extracting #7: cost 0 inf + 1154
30.513 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
30.513 * [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))))
30.513 * * * * [progress]: [ 16 / 226 ] 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))))>
30.514 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
30.514 * * [simplify]: iters left: 6 (7 enodes)
30.518 * * [simplify]: iters left: 5 (29 enodes)
30.527 * * [simplify]: iters left: 4 (38 enodes)
30.534 * * [simplify]: Extracting #0: cost 1 inf + 0
30.534 * * [simplify]: Extracting #1: cost 4 inf + 0
30.534 * * [simplify]: Extracting #2: cost 5 inf + 1
30.534 * * [simplify]: Extracting #3: cost 9 inf + 1
30.534 * * [simplify]: Extracting #4: cost 13 inf + 2
30.534 * * [simplify]: Extracting #5: cost 12 inf + 4
30.534 * * [simplify]: Extracting #6: cost 2 inf + 666
30.534 * * [simplify]: Extracting #7: cost 0 inf + 992
30.535 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
30.535 * [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))))
30.535 * * * * [progress]: [ 17 / 226 ] 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))))>
30.535 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
30.535 * * [simplify]: iters left: 6 (8 enodes)
30.538 * * [simplify]: iters left: 5 (30 enodes)
30.543 * * [simplify]: iters left: 4 (37 enodes)
30.549 * * [simplify]: Extracting #0: cost 1 inf + 0
30.549 * * [simplify]: Extracting #1: cost 6 inf + 0
30.549 * * [simplify]: Extracting #2: cost 12 inf + 0
30.549 * * [simplify]: Extracting #3: cost 11 inf + 405
30.549 * * [simplify]: Extracting #4: cost 10 inf + 407
30.549 * * [simplify]: Extracting #5: cost 4 inf + 1220
30.550 * * [simplify]: Extracting #6: cost 0 inf + 1869
30.550 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
30.550 * [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))))
30.550 * * * * [progress]: [ 18 / 226 ] 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))))>
30.550 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
30.550 * * [simplify]: iters left: 6 (9 enodes)
30.555 * * [simplify]: iters left: 5 (33 enodes)
30.564 * * [simplify]: iters left: 4 (43 enodes)
30.576 * * [simplify]: iters left: 3 (45 enodes)
30.587 * * [simplify]: Extracting #0: cost 1 inf + 0
30.587 * * [simplify]: Extracting #1: cost 8 inf + 0
30.587 * * [simplify]: Extracting #2: cost 16 inf + 0
30.587 * * [simplify]: Extracting #3: cost 16 inf + 284
30.587 * * [simplify]: Extracting #4: cost 11 inf + 610
30.588 * * [simplify]: Extracting #5: cost 8 inf + 815
30.588 * * [simplify]: Extracting #6: cost 0 inf + 2517
30.588 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
30.588 * [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))))
30.589 * * * * [progress]: [ 19 / 226 ] 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))))>
30.589 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
30.589 * * [simplify]: iters left: 6 (8 enodes)
30.591 * * [simplify]: iters left: 5 (30 enodes)
30.596 * * [simplify]: iters left: 4 (40 enodes)
30.602 * * [simplify]: iters left: 3 (42 enodes)
30.609 * * [simplify]: Extracting #0: cost 1 inf + 0
30.609 * * [simplify]: Extracting #1: cost 8 inf + 0
30.609 * * [simplify]: Extracting #2: cost 12 inf + 82
30.609 * * [simplify]: Extracting #3: cost 13 inf + 405
30.609 * * [simplify]: Extracting #4: cost 12 inf + 407
30.609 * * [simplify]: Extracting #5: cost 5 inf + 1383
30.609 * * [simplify]: Extracting #6: cost 0 inf + 2195
30.610 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
30.610 * [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))))
30.610 * * * * [progress]: [ 20 / 226 ] 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))))>
30.610 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
30.610 * * [simplify]: iters left: 6 (9 enodes)
30.614 * * [simplify]: iters left: 5 (33 enodes)
30.625 * * [simplify]: iters left: 4 (43 enodes)
30.638 * * [simplify]: iters left: 3 (45 enodes)
30.651 * * [simplify]: Extracting #0: cost 1 inf + 0
30.651 * * [simplify]: Extracting #1: cost 8 inf + 0
30.651 * * [simplify]: Extracting #2: cost 16 inf + 0
30.651 * * [simplify]: Extracting #3: cost 16 inf + 284
30.652 * * [simplify]: Extracting #4: cost 11 inf + 610
30.652 * * [simplify]: Extracting #5: cost 8 inf + 815
30.652 * * [simplify]: Extracting #6: cost 0 inf + 2517
30.653 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
30.653 * [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))))
30.653 * * * * [progress]: [ 21 / 226 ] 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))))>
30.653 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
30.653 * * [simplify]: iters left: 6 (8 enodes)
30.656 * * [simplify]: iters left: 5 (30 enodes)
30.661 * * [simplify]: iters left: 4 (35 enodes)
30.666 * * [simplify]: Extracting #0: cost 1 inf + 0
30.666 * * [simplify]: Extracting #1: cost 6 inf + 0
30.666 * * [simplify]: Extracting #2: cost 8 inf + 42
30.666 * * [simplify]: Extracting #3: cost 11 inf + 83
30.666 * * [simplify]: Extracting #4: cost 10 inf + 85
30.667 * * [simplify]: Extracting #5: cost 4 inf + 658
30.667 * * [simplify]: Extracting #6: cost 0 inf + 1227
30.667 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
30.667 * [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))))
30.667 * * * * [progress]: [ 22 / 226 ] 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))))>
30.668 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
30.668 * * [simplify]: iters left: 6 (8 enodes)
30.672 * * [simplify]: iters left: 5 (30 enodes)
30.677 * * [simplify]: iters left: 4 (40 enodes)
30.686 * * [simplify]: iters left: 3 (42 enodes)
30.698 * * [simplify]: Extracting #0: cost 1 inf + 0
30.698 * * [simplify]: Extracting #1: cost 8 inf + 0
30.698 * * [simplify]: Extracting #2: cost 12 inf + 42
30.698 * * [simplify]: Extracting #3: cost 13 inf + 245
30.698 * * [simplify]: Extracting #4: cost 12 inf + 247
30.699 * * [simplify]: Extracting #5: cost 5 inf + 1143
30.699 * * [simplify]: Extracting #6: cost 0 inf + 1875
30.700 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
30.700 * [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))))
30.700 * * * * [progress]: [ 23 / 226 ] 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))))>
30.701 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
30.701 * * [simplify]: iters left: 6 (8 enodes)
30.705 * * [simplify]: iters left: 5 (30 enodes)
30.714 * * [simplify]: iters left: 4 (40 enodes)
30.726 * * [simplify]: iters left: 3 (42 enodes)
30.737 * * [simplify]: Extracting #0: cost 1 inf + 0
30.737 * * [simplify]: Extracting #1: cost 8 inf + 0
30.737 * * [simplify]: Extracting #2: cost 11 inf + 203
30.738 * * [simplify]: Extracting #3: cost 13 inf + 405
30.738 * * [simplify]: Extracting #4: cost 12 inf + 407
30.738 * * [simplify]: Extracting #5: cost 3 inf + 1789
30.739 * * [simplify]: Extracting #6: cost 0 inf + 2195
30.739 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
30.739 * [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))))
30.740 * * * * [progress]: [ 24 / 226 ] 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))))>
30.740 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
30.740 * * [simplify]: iters left: 6 (8 enodes)
30.744 * * [simplify]: iters left: 5 (30 enodes)
30.754 * * [simplify]: iters left: 4 (40 enodes)
30.761 * * [simplify]: iters left: 3 (42 enodes)
30.767 * * [simplify]: Extracting #0: cost 1 inf + 0
30.767 * * [simplify]: Extracting #1: cost 8 inf + 0
30.767 * * [simplify]: Extracting #2: cost 11 inf + 123
30.767 * * [simplify]: Extracting #3: cost 13 inf + 245
30.767 * * [simplify]: Extracting #4: cost 12 inf + 247
30.767 * * [simplify]: Extracting #5: cost 3 inf + 1509
30.767 * * [simplify]: Extracting #6: cost 0 inf + 1875
30.768 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
30.768 * [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))))
30.768 * * * * [progress]: [ 25 / 226 ] 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))))>
30.768 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
30.768 * * [simplify]: iters left: 6 (7 enodes)
30.770 * * [simplify]: iters left: 5 (28 enodes)
30.775 * * [simplify]: iters left: 4 (35 enodes)
30.780 * * [simplify]: Extracting #0: cost 1 inf + 0
30.780 * * [simplify]: Extracting #1: cost 6 inf + 0
30.780 * * [simplify]: Extracting #2: cost 7 inf + 2
30.780 * * [simplify]: Extracting #3: cost 11 inf + 2
30.780 * * [simplify]: Extracting #4: cost 9 inf + 45
30.780 * * [simplify]: Extracting #5: cost 4 inf + 455
30.780 * * [simplify]: Extracting #6: cost 0 inf + 1066
30.780 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
30.780 * [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))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
30.780 * * * * [progress]: [ 26 / 226 ] 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))))>
30.781 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
30.781 * * [simplify]: iters left: 6 (8 enodes)
30.783 * * [simplify]: iters left: 5 (30 enodes)
30.791 * * [simplify]: iters left: 4 (37 enodes)
30.796 * * [simplify]: Extracting #0: cost 1 inf + 0
30.796 * * [simplify]: Extracting #1: cost 6 inf + 0
30.796 * * [simplify]: Extracting #2: cost 12 inf + 0
30.796 * * [simplify]: Extracting #3: cost 11 inf + 405
30.796 * * [simplify]: Extracting #4: cost 10 inf + 407
30.796 * * [simplify]: Extracting #5: cost 4 inf + 1100
30.797 * * [simplify]: Extracting #6: cost 0 inf + 1629
30.797 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
30.797 * [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))))
30.798 * * * * [progress]: [ 27 / 226 ] 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))))>
30.798 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
30.798 * * [simplify]: iters left: 6 (9 enodes)
30.803 * * [simplify]: iters left: 5 (33 enodes)
30.814 * * [simplify]: iters left: 4 (43 enodes)
30.824 * * [simplify]: iters left: 3 (45 enodes)
30.830 * * [simplify]: Extracting #0: cost 1 inf + 0
30.830 * * [simplify]: Extracting #1: cost 8 inf + 0
30.830 * * [simplify]: Extracting #2: cost 16 inf + 0
30.830 * * [simplify]: Extracting #3: cost 16 inf + 284
30.830 * * [simplify]: Extracting #4: cost 11 inf + 610
30.830 * * [simplify]: Extracting #5: cost 8 inf + 775
30.831 * * [simplify]: Extracting #6: cost 0 inf + 2197
30.831 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
30.831 * [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))))
30.831 * * * * [progress]: [ 28 / 226 ] 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))))>
30.831 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
30.831 * * [simplify]: iters left: 6 (8 enodes)
30.834 * * [simplify]: iters left: 5 (30 enodes)
30.838 * * [simplify]: iters left: 4 (40 enodes)
30.844 * * [simplify]: iters left: 3 (42 enodes)
30.850 * * [simplify]: Extracting #0: cost 1 inf + 0
30.850 * * [simplify]: Extracting #1: cost 8 inf + 0
30.850 * * [simplify]: Extracting #2: cost 12 inf + 82
30.850 * * [simplify]: Extracting #3: cost 13 inf + 405
30.850 * * [simplify]: Extracting #4: cost 12 inf + 407
30.850 * * [simplify]: Extracting #5: cost 5 inf + 1223
30.851 * * [simplify]: Extracting #6: cost 0 inf + 1875
30.851 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
30.851 * [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))))
30.851 * * * * [progress]: [ 29 / 226 ] 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))))>
30.851 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
30.851 * * [simplify]: iters left: 6 (9 enodes)
30.854 * * [simplify]: iters left: 5 (33 enodes)
30.860 * * [simplify]: iters left: 4 (43 enodes)
30.866 * * [simplify]: iters left: 3 (45 enodes)
30.872 * * [simplify]: Extracting #0: cost 1 inf + 0
30.872 * * [simplify]: Extracting #1: cost 8 inf + 0
30.872 * * [simplify]: Extracting #2: cost 16 inf + 0
30.873 * * [simplify]: Extracting #3: cost 16 inf + 284
30.873 * * [simplify]: Extracting #4: cost 11 inf + 610
30.873 * * [simplify]: Extracting #5: cost 8 inf + 775
30.873 * * [simplify]: Extracting #6: cost 0 inf + 2197
30.873 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
30.873 * [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))))
30.874 * * * * [progress]: [ 30 / 226 ] 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))))>
30.874 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
30.874 * * [simplify]: iters left: 6 (8 enodes)
30.878 * * [simplify]: iters left: 5 (30 enodes)
30.883 * * [simplify]: iters left: 4 (35 enodes)
30.888 * * [simplify]: Extracting #0: cost 1 inf + 0
30.888 * * [simplify]: Extracting #1: cost 6 inf + 0
30.888 * * [simplify]: Extracting #2: cost 8 inf + 42
30.888 * * [simplify]: Extracting #3: cost 11 inf + 83
30.888 * * [simplify]: Extracting #4: cost 10 inf + 85
30.888 * * [simplify]: Extracting #5: cost 4 inf + 538
30.889 * * [simplify]: Extracting #6: cost 0 inf + 987
30.889 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
30.889 * [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))))
30.889 * * * * [progress]: [ 31 / 226 ] 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))))>
30.889 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
30.889 * * [simplify]: iters left: 6 (8 enodes)
30.892 * * [simplify]: iters left: 5 (30 enodes)
30.896 * * [simplify]: iters left: 4 (40 enodes)
30.902 * * [simplify]: iters left: 3 (42 enodes)
30.911 * * [simplify]: Extracting #0: cost 1 inf + 0
30.911 * * [simplify]: Extracting #1: cost 8 inf + 0
30.911 * * [simplify]: Extracting #2: cost 12 inf + 42
30.911 * * [simplify]: Extracting #3: cost 13 inf + 245
30.911 * * [simplify]: Extracting #4: cost 12 inf + 247
30.911 * * [simplify]: Extracting #5: cost 5 inf + 983
30.911 * * [simplify]: Extracting #6: cost 0 inf + 1555
30.912 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
30.912 * [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))))
30.912 * * * * [progress]: [ 32 / 226 ] 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))))>
30.912 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
30.912 * * [simplify]: iters left: 6 (8 enodes)
30.914 * * [simplify]: iters left: 5 (30 enodes)
30.919 * * [simplify]: iters left: 4 (40 enodes)
30.925 * * [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 11 inf + 203
30.931 * * [simplify]: Extracting #3: cost 13 inf + 405
30.931 * * [simplify]: Extracting #4: cost 12 inf + 407
30.931 * * [simplify]: Extracting #5: cost 3 inf + 1549
30.931 * * [simplify]: Extracting #6: cost 0 inf + 1875
30.932 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
30.932 * [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))))
30.932 * * * * [progress]: [ 33 / 226 ] 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))))>
30.932 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
30.932 * * [simplify]: iters left: 6 (8 enodes)
30.934 * * [simplify]: iters left: 5 (30 enodes)
30.939 * * [simplify]: iters left: 4 (40 enodes)
30.945 * * [simplify]: iters left: 3 (42 enodes)
30.951 * * [simplify]: Extracting #0: cost 1 inf + 0
30.951 * * [simplify]: Extracting #1: cost 8 inf + 0
30.951 * * [simplify]: Extracting #2: cost 11 inf + 123
30.951 * * [simplify]: Extracting #3: cost 13 inf + 245
30.951 * * [simplify]: Extracting #4: cost 12 inf + 247
30.951 * * [simplify]: Extracting #5: cost 3 inf + 1269
30.952 * * [simplify]: Extracting #6: cost 0 inf + 1555
30.952 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
30.952 * [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))))
30.952 * * * * [progress]: [ 34 / 226 ] 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))))>
30.952 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
30.952 * * [simplify]: iters left: 6 (7 enodes)
30.955 * * [simplify]: iters left: 5 (28 enodes)
30.964 * * [simplify]: iters left: 4 (35 enodes)
30.974 * * [simplify]: Extracting #0: cost 1 inf + 0
30.974 * * [simplify]: Extracting #1: cost 6 inf + 0
30.974 * * [simplify]: Extracting #2: cost 7 inf + 2
30.974 * * [simplify]: Extracting #3: cost 11 inf + 2
30.974 * * [simplify]: Extracting #4: cost 9 inf + 45
30.975 * * [simplify]: Extracting #5: cost 4 inf + 375
30.975 * * [simplify]: Extracting #6: cost 0 inf + 826
30.975 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
30.975 * [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))))
30.976 * * * * [progress]: [ 35 / 226 ] 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))))>
30.976 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
30.976 * * [simplify]: iters left: 6 (7 enodes)
30.980 * * [simplify]: iters left: 5 (30 enodes)
30.991 * * [simplify]: iters left: 4 (49 enodes)
31.005 * * [simplify]: iters left: 3 (59 enodes)
31.021 * * [simplify]: iters left: 2 (64 enodes)
31.037 * * [simplify]: Extracting #0: cost 1 inf + 0
31.037 * * [simplify]: Extracting #1: cost 9 inf + 0
31.037 * * [simplify]: Extracting #2: cost 23 inf + 0
31.038 * * [simplify]: Extracting #3: cost 24 inf + 3
31.038 * * [simplify]: Extracting #4: cost 15 inf + 980
31.039 * * [simplify]: Extracting #5: cost 1 inf + 3007
31.040 * * [simplify]: Extracting #6: cost 0 inf + 3169
31.041 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
31.041 * [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))))
31.041 * * * * [progress]: [ 36 / 226 ] 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))))>
31.041 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
31.041 * * [simplify]: iters left: 6 (8 enodes)
31.046 * * [simplify]: iters left: 5 (33 enodes)
31.057 * * [simplify]: iters left: 4 (55 enodes)
31.074 * * [simplify]: iters left: 3 (72 enodes)
31.085 * * [simplify]: iters left: 2 (84 enodes)
31.099 * * [simplify]: iters left: 1 (88 enodes)
31.109 * * [simplify]: Extracting #0: cost 1 inf + 0
31.109 * * [simplify]: Extracting #1: cost 11 inf + 0
31.110 * * [simplify]: Extracting #2: cost 30 inf + 0
31.110 * * [simplify]: Extracting #3: cost 33 inf + 84
31.110 * * [simplify]: Extracting #4: cost 12 inf + 2402
31.111 * * [simplify]: Extracting #5: cost 0 inf + 4469
31.111 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
31.111 * [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))))
31.112 * * * * [progress]: [ 37 / 226 ] 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))))>
31.112 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
31.112 * * [simplify]: iters left: 6 (7 enodes)
31.114 * * [simplify]: iters left: 5 (30 enodes)
31.119 * * [simplify]: iters left: 4 (52 enodes)
31.127 * * [simplify]: iters left: 3 (70 enodes)
31.137 * * [simplify]: iters left: 2 (81 enodes)
31.148 * * [simplify]: iters left: 1 (84 enodes)
31.164 * * [simplify]: Extracting #0: cost 1 inf + 0
31.164 * * [simplify]: Extracting #1: cost 11 inf + 0
31.164 * * [simplify]: Extracting #2: cost 25 inf + 203
31.164 * * [simplify]: Extracting #3: cost 25 inf + 530
31.165 * * [simplify]: Extracting #4: cost 4 inf + 2936
31.166 * * [simplify]: Extracting #5: cost 0 inf + 3504
31.167 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
31.167 * [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))))
31.167 * * * * [progress]: [ 38 / 226 ] 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))))>
31.168 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
31.168 * * [simplify]: iters left: 6 (8 enodes)
31.173 * * [simplify]: iters left: 5 (33 enodes)
31.186 * * [simplify]: iters left: 4 (55 enodes)
31.202 * * [simplify]: iters left: 3 (72 enodes)
31.222 * * [simplify]: iters left: 2 (84 enodes)
31.245 * * [simplify]: iters left: 1 (88 enodes)
31.267 * * [simplify]: Extracting #0: cost 1 inf + 0
31.267 * * [simplify]: Extracting #1: cost 11 inf + 0
31.267 * * [simplify]: Extracting #2: cost 30 inf + 0
31.267 * * [simplify]: Extracting #3: cost 33 inf + 44
31.268 * * [simplify]: Extracting #4: cost 12 inf + 2362
31.269 * * [simplify]: Extracting #5: cost 0 inf + 4469
31.271 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
31.271 * [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))))
31.271 * * * * [progress]: [ 39 / 226 ] 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))))>
31.271 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
31.272 * * [simplify]: iters left: 6 (7 enodes)
31.276 * * [simplify]: iters left: 5 (30 enodes)
31.286 * * [simplify]: iters left: 4 (48 enodes)
31.300 * * [simplify]: iters left: 3 (56 enodes)
31.315 * * [simplify]: Extracting #0: cost 1 inf + 0
31.315 * * [simplify]: Extracting #1: cost 8 inf + 0
31.315 * * [simplify]: Extracting #2: cost 15 inf + 43
31.316 * * [simplify]: Extracting #3: cost 16 inf + 86
31.316 * * [simplify]: Extracting #4: cost 5 inf + 911
31.316 * * [simplify]: Extracting #5: cost 1 inf + 1198
31.317 * * [simplify]: Extracting #6: cost 0 inf + 1320
31.318 * [simplify]: Simplified to (/ (- 1 k) 2)
31.318 * [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 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (sqrt k))))
31.318 * * * * [progress]: [ 40 / 226 ] 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))))>
31.318 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
31.318 * * [simplify]: iters left: 6 (7 enodes)
31.323 * * [simplify]: iters left: 5 (30 enodes)
31.335 * * [simplify]: iters left: 4 (52 enodes)
31.351 * * [simplify]: iters left: 3 (70 enodes)
31.371 * * [simplify]: iters left: 2 (81 enodes)
31.392 * * [simplify]: iters left: 1 (84 enodes)
31.413 * * [simplify]: Extracting #0: cost 1 inf + 0
31.413 * * [simplify]: Extracting #1: cost 11 inf + 0
31.413 * * [simplify]: Extracting #2: cost 25 inf + 123
31.414 * * [simplify]: Extracting #3: cost 25 inf + 330
31.414 * * [simplify]: Extracting #4: cost 4 inf + 2256
31.416 * * [simplify]: Extracting #5: cost 0 inf + 2704
31.417 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
31.417 * [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))))
31.417 * * * * [progress]: [ 41 / 226 ] 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))))>
31.417 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
31.418 * * [simplify]: iters left: 6 (7 enodes)
31.422 * * [simplify]: iters left: 5 (31 enodes)
31.432 * * [simplify]: iters left: 4 (51 enodes)
31.447 * * [simplify]: iters left: 3 (64 enodes)
31.465 * * [simplify]: iters left: 2 (77 enodes)
31.488 * * [simplify]: iters left: 1 (84 enodes)
31.509 * * [simplify]: Extracting #0: cost 1 inf + 0
31.509 * * [simplify]: Extracting #1: cost 11 inf + 0
31.509 * * [simplify]: Extracting #2: cost 26 inf + 82
31.510 * * [simplify]: Extracting #3: cost 24 inf + 692
31.511 * * [simplify]: Extracting #4: cost 3 inf + 3057
31.512 * * [simplify]: Extracting #5: cost 0 inf + 3504
31.513 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
31.513 * [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))))
31.513 * * * * [progress]: [ 42 / 226 ] 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))))>
31.514 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
31.514 * * [simplify]: iters left: 6 (7 enodes)
31.518 * * [simplify]: iters left: 5 (31 enodes)
31.529 * * [simplify]: iters left: 4 (51 enodes)
31.544 * * [simplify]: iters left: 3 (64 enodes)
31.562 * * [simplify]: iters left: 2 (77 enodes)
31.582 * * [simplify]: iters left: 1 (84 enodes)
31.601 * * [simplify]: Extracting #0: cost 1 inf + 0
31.601 * * [simplify]: Extracting #1: cost 11 inf + 0
31.601 * * [simplify]: Extracting #2: cost 26 inf + 42
31.601 * * [simplify]: Extracting #3: cost 24 inf + 452
31.601 * * [simplify]: Extracting #4: cost 3 inf + 2337
31.602 * * [simplify]: Extracting #5: cost 0 inf + 2704
31.603 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
31.603 * [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))))
31.603 * * * * [progress]: [ 43 / 226 ] 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))))>
31.603 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
31.603 * * [simplify]: iters left: 6 (6 enodes)
31.605 * * [simplify]: iters left: 5 (29 enodes)
31.610 * * [simplify]: iters left: 4 (44 enodes)
31.619 * * [simplify]: iters left: 3 (50 enodes)
31.626 * * [simplify]: iters left: 2 (57 enodes)
31.639 * * [simplify]: Extracting #0: cost 1 inf + 0
31.639 * * [simplify]: Extracting #1: cost 9 inf + 0
31.639 * * [simplify]: Extracting #2: cost 15 inf + 3
31.639 * * [simplify]: Extracting #3: cost 11 inf + 131
31.640 * * [simplify]: Extracting #4: cost 2 inf + 711
31.640 * * [simplify]: Extracting #5: cost 0 inf + 836
31.640 * [simplify]: Simplified to (- 1/4 (/ k 4))
31.641 * [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))))
31.641 * * * * [progress]: [ 44 / 226 ] 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))))>
31.641 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
31.641 * * [simplify]: iters left: 6 (9 enodes)
31.647 * * [simplify]: iters left: 5 (36 enodes)
31.656 * * [simplify]: iters left: 4 (58 enodes)
31.664 * * [simplify]: iters left: 3 (71 enodes)
31.673 * * [simplify]: iters left: 2 (79 enodes)
31.683 * * [simplify]: iters left: 1 (80 enodes)
31.692 * * [simplify]: Extracting #0: cost 1 inf + 0
31.693 * * [simplify]: Extracting #1: cost 9 inf + 0
31.693 * * [simplify]: Extracting #2: cost 24 inf + 0
31.693 * * [simplify]: Extracting #3: cost 29 inf + 2
31.693 * * [simplify]: Extracting #4: cost 10 inf + 2233
31.694 * * [simplify]: Extracting #5: cost 1 inf + 4013
31.694 * * [simplify]: Extracting #6: cost 0 inf + 4135
31.695 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
31.695 * [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))))
31.695 * * * * [progress]: [ 45 / 226 ] 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))))>
31.695 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
31.695 * * [simplify]: iters left: 6 (10 enodes)
31.699 * * [simplify]: iters left: 5 (39 enodes)
31.707 * * [simplify]: iters left: 4 (64 enodes)
31.717 * * [simplify]: iters left: 3 (86 enodes)
31.728 * * [simplify]: iters left: 2 (99 enodes)
31.743 * * [simplify]: iters left: 1 (104 enodes)
31.755 * * [simplify]: Extracting #0: cost 1 inf + 0
31.755 * * [simplify]: Extracting #1: cost 11 inf + 0
31.756 * * [simplify]: Extracting #2: cost 31 inf + 0
31.756 * * [simplify]: Extracting #3: cost 39 inf + 2
31.756 * * [simplify]: Extracting #4: cost 22 inf + 1871
31.757 * * [simplify]: Extracting #5: cost 4 inf + 4865
31.758 * * [simplify]: Extracting #6: cost 0 inf + 5675
31.759 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
31.759 * [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))))
31.759 * * * * [progress]: [ 46 / 226 ] 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))))>
31.759 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
31.759 * * [simplify]: iters left: 6 (9 enodes)
31.762 * * [simplify]: iters left: 5 (36 enodes)
31.768 * * [simplify]: iters left: 4 (61 enodes)
31.780 * * [simplify]: iters left: 3 (84 enodes)
31.803 * * [simplify]: iters left: 2 (96 enodes)
31.815 * * [simplify]: iters left: 1 (100 enodes)
31.832 * * [simplify]: Extracting #0: cost 1 inf + 0
31.832 * * [simplify]: Extracting #1: cost 11 inf + 0
31.832 * * [simplify]: Extracting #2: cost 27 inf + 82
31.833 * * [simplify]: Extracting #3: cost 29 inf + 651
31.833 * * [simplify]: Extracting #4: cost 12 inf + 2763
31.835 * * [simplify]: Extracting #5: cost 1 inf + 4587
31.836 * * [simplify]: Extracting #6: cost 0 inf + 4710
31.838 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
31.838 * [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))))
31.838 * * * * [progress]: [ 47 / 226 ] 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))))>
31.839 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
31.839 * * [simplify]: iters left: 6 (10 enodes)
31.845 * * [simplify]: iters left: 5 (39 enodes)
31.855 * * [simplify]: iters left: 4 (64 enodes)
31.865 * * [simplify]: iters left: 3 (86 enodes)
31.877 * * [simplify]: iters left: 2 (99 enodes)
31.896 * * [simplify]: iters left: 1 (104 enodes)
31.921 * * [simplify]: Extracting #0: cost 1 inf + 0
31.922 * * [simplify]: Extracting #1: cost 11 inf + 0
31.922 * * [simplify]: Extracting #2: cost 31 inf + 0
31.922 * * [simplify]: Extracting #3: cost 39 inf + 2
31.923 * * [simplify]: Extracting #4: cost 22 inf + 1831
31.924 * * [simplify]: Extracting #5: cost 4 inf + 4785
31.926 * * [simplify]: Extracting #6: cost 0 inf + 5595
31.928 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
31.928 * [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))))
31.928 * * * * [progress]: [ 48 / 226 ] 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))))>
31.929 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
31.929 * * [simplify]: iters left: 6 (9 enodes)
31.934 * * [simplify]: iters left: 5 (36 enodes)
31.946 * * [simplify]: iters left: 4 (57 enodes)
31.964 * * [simplify]: iters left: 3 (73 enodes)
31.983 * * [simplify]: iters left: 2 (80 enodes)
32.002 * * [simplify]: iters left: 1 (81 enodes)
32.022 * * [simplify]: Extracting #0: cost 1 inf + 0
32.022 * * [simplify]: Extracting #1: cost 9 inf + 0
32.022 * * [simplify]: Extracting #2: cost 18 inf + 43
32.022 * * [simplify]: Extracting #3: cost 23 inf + 85
32.023 * * [simplify]: Extracting #4: cost 9 inf + 1271
32.024 * * [simplify]: Extracting #5: cost 0 inf + 2370
32.025 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
32.025 * [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))))
32.025 * * * * [progress]: [ 49 / 226 ] 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))))>
32.026 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
32.026 * * [simplify]: iters left: 6 (9 enodes)
32.032 * * [simplify]: iters left: 5 (36 enodes)
32.046 * * [simplify]: iters left: 4 (61 enodes)
32.064 * * [simplify]: iters left: 3 (84 enodes)
32.076 * * [simplify]: iters left: 2 (96 enodes)
32.088 * * [simplify]: iters left: 1 (100 enodes)
32.108 * * [simplify]: Extracting #0: cost 1 inf + 0
32.108 * * [simplify]: Extracting #1: cost 11 inf + 0
32.108 * * [simplify]: Extracting #2: cost 27 inf + 42
32.108 * * [simplify]: Extracting #3: cost 29 inf + 411
32.109 * * [simplify]: Extracting #4: cost 12 inf + 2163
32.110 * * [simplify]: Extracting #5: cost 1 inf + 3707
32.112 * * [simplify]: Extracting #6: cost 0 inf + 3830
32.114 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
32.114 * [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))))
32.114 * * * * [progress]: [ 50 / 226 ] 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))))>
32.114 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
32.114 * * [simplify]: iters left: 6 (9 enodes)
32.120 * * [simplify]: iters left: 5 (36 enodes)
32.129 * * [simplify]: iters left: 4 (62 enodes)
32.139 * * [simplify]: iters left: 3 (78 enodes)
32.152 * * [simplify]: iters left: 2 (90 enodes)
32.175 * * [simplify]: iters left: 1 (94 enodes)
32.191 * * [simplify]: Extracting #0: cost 1 inf + 0
32.191 * * [simplify]: Extracting #1: cost 11 inf + 0
32.191 * * [simplify]: Extracting #2: cost 27 inf + 1
32.191 * * [simplify]: Extracting #3: cost 29 inf + 409
32.192 * * [simplify]: Extracting #4: cost 12 inf + 2359
32.192 * * [simplify]: Extracting #5: cost 2 inf + 4022
32.193 * * [simplify]: Extracting #6: cost 0 inf + 4466
32.194 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
32.194 * [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))))
32.194 * * * * [progress]: [ 51 / 226 ] 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))))>
32.194 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
32.194 * * [simplify]: iters left: 6 (9 enodes)
32.198 * * [simplify]: iters left: 5 (36 enodes)
32.204 * * [simplify]: iters left: 4 (62 enodes)
32.213 * * [simplify]: iters left: 3 (78 enodes)
32.224 * * [simplify]: iters left: 2 (90 enodes)
32.248 * * [simplify]: iters left: 1 (94 enodes)
32.268 * * [simplify]: Extracting #0: cost 1 inf + 0
32.268 * * [simplify]: Extracting #1: cost 11 inf + 0
32.268 * * [simplify]: Extracting #2: cost 27 inf + 1
32.268 * * [simplify]: Extracting #3: cost 29 inf + 249
32.269 * * [simplify]: Extracting #4: cost 12 inf + 1879
32.269 * * [simplify]: Extracting #5: cost 2 inf + 3302
32.270 * * [simplify]: Extracting #6: cost 0 inf + 3666
32.271 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
32.271 * [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))))
32.271 * * * * [progress]: [ 52 / 226 ] 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))))>
32.271 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
32.271 * * [simplify]: iters left: 6 (8 enodes)
32.274 * * [simplify]: iters left: 5 (34 enodes)
32.281 * * [simplify]: iters left: 4 (58 enodes)
32.288 * * [simplify]: iters left: 3 (65 enodes)
32.296 * * [simplify]: Extracting #0: cost 1 inf + 0
32.296 * * [simplify]: Extracting #1: cost 8 inf + 0
32.296 * * [simplify]: Extracting #2: cost 14 inf + 3
32.297 * * [simplify]: Extracting #3: cost 17 inf + 5
32.297 * * [simplify]: Extracting #4: cost 12 inf + 292
32.297 * * [simplify]: Extracting #5: cost 1 inf + 1355
32.298 * * [simplify]: Extracting #6: cost 0 inf + 1478
32.298 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
32.298 * [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))))
32.298 * * * * [progress]: [ 53 / 226 ] 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))))>
32.299 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
32.299 * * [simplify]: iters left: 6 (8 enodes)
32.302 * * [simplify]: iters left: 5 (33 enodes)
32.308 * * [simplify]: iters left: 4 (52 enodes)
32.316 * * [simplify]: iters left: 3 (62 enodes)
32.324 * * [simplify]: iters left: 2 (67 enodes)
32.333 * * [simplify]: Extracting #0: cost 1 inf + 0
32.334 * * [simplify]: Extracting #1: cost 9 inf + 0
32.334 * * [simplify]: Extracting #2: cost 23 inf + 0
32.334 * * [simplify]: Extracting #3: cost 24 inf + 285
32.334 * * [simplify]: Extracting #4: cost 18 inf + 975
32.335 * * [simplify]: Extracting #5: cost 7 inf + 2516
32.336 * * [simplify]: Extracting #6: cost 0 inf + 3891
32.337 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
32.337 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (sqrt k))))
32.338 * * * * [progress]: [ 54 / 226 ] 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))))>
32.338 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
32.338 * * [simplify]: iters left: 6 (9 enodes)
32.343 * * [simplify]: iters left: 5 (36 enodes)
32.357 * * [simplify]: iters left: 4 (58 enodes)
32.376 * * [simplify]: iters left: 3 (75 enodes)
32.391 * * [simplify]: iters left: 2 (87 enodes)
32.402 * * [simplify]: iters left: 1 (91 enodes)
32.413 * * [simplify]: Extracting #0: cost 1 inf + 0
32.414 * * [simplify]: Extracting #1: cost 11 inf + 0
32.414 * * [simplify]: Extracting #2: cost 30 inf + 0
32.414 * * [simplify]: Extracting #3: cost 36 inf + 83
32.414 * * [simplify]: Extracting #4: cost 30 inf + 451
32.414 * * [simplify]: Extracting #5: cost 10 inf + 3649
32.415 * * [simplify]: Extracting #6: cost 0 inf + 5431
32.416 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
32.416 * [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))))
32.416 * * * * [progress]: [ 55 / 226 ] 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))))>
32.417 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
32.417 * * [simplify]: iters left: 6 (8 enodes)
32.421 * * [simplify]: iters left: 5 (33 enodes)
32.432 * * [simplify]: iters left: 4 (55 enodes)
32.449 * * [simplify]: iters left: 3 (73 enodes)
32.459 * * [simplify]: iters left: 2 (84 enodes)
32.472 * * [simplify]: iters left: 1 (87 enodes)
32.484 * * [simplify]: Extracting #0: cost 1 inf + 0
32.484 * * [simplify]: Extracting #1: cost 11 inf + 0
32.484 * * [simplify]: Extracting #2: cost 25 inf + 203
32.484 * * [simplify]: Extracting #3: cost 29 inf + 407
32.484 * * [simplify]: Extracting #4: cost 24 inf + 896
32.485 * * [simplify]: Extracting #5: cost 9 inf + 2805
32.487 * * [simplify]: Extracting #6: cost 0 inf + 4466
32.488 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
32.488 * [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))))
32.488 * * * * [progress]: [ 56 / 226 ] 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))))>
32.489 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
32.489 * * [simplify]: iters left: 6 (9 enodes)
32.494 * * [simplify]: iters left: 5 (36 enodes)
32.506 * * [simplify]: iters left: 4 (58 enodes)
32.523 * * [simplify]: iters left: 3 (75 enodes)
32.544 * * [simplify]: iters left: 2 (87 enodes)
32.567 * * [simplify]: iters left: 1 (91 enodes)
32.595 * * [simplify]: Extracting #0: cost 1 inf + 0
32.595 * * [simplify]: Extracting #1: cost 11 inf + 0
32.595 * * [simplify]: Extracting #2: cost 30 inf + 0
32.595 * * [simplify]: Extracting #3: cost 36 inf + 43
32.595 * * [simplify]: Extracting #4: cost 30 inf + 451
32.596 * * [simplify]: Extracting #5: cost 10 inf + 3769
32.598 * * [simplify]: Extracting #6: cost 0 inf + 5431
32.600 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
32.600 * [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))))
32.600 * * * * [progress]: [ 57 / 226 ] 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))))>
32.600 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
32.601 * * [simplify]: iters left: 6 (8 enodes)
32.605 * * [simplify]: iters left: 5 (33 enodes)
32.616 * * [simplify]: iters left: 4 (51 enodes)
32.631 * * [simplify]: iters left: 3 (59 enodes)
32.645 * * [simplify]: Extracting #0: cost 1 inf + 0
32.645 * * [simplify]: Extracting #1: cost 8 inf + 0
32.646 * * [simplify]: Extracting #2: cost 15 inf + 43
32.646 * * [simplify]: Extracting #3: cost 19 inf + 85
32.646 * * [simplify]: Extracting #4: cost 16 inf + 250
32.646 * * [simplify]: Extracting #5: cost 5 inf + 1311
32.646 * * [simplify]: Extracting #6: cost 0 inf + 1962
32.647 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
32.647 * [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))))
32.647 * * * * [progress]: [ 58 / 226 ] 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))))>
32.647 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
32.647 * * [simplify]: iters left: 6 (8 enodes)
32.650 * * [simplify]: iters left: 5 (33 enodes)
32.655 * * [simplify]: iters left: 4 (55 enodes)
32.664 * * [simplify]: iters left: 3 (73 enodes)
32.674 * * [simplify]: iters left: 2 (84 enodes)
32.686 * * [simplify]: iters left: 1 (87 enodes)
32.710 * * [simplify]: Extracting #0: cost 1 inf + 0
32.710 * * [simplify]: Extracting #1: cost 11 inf + 0
32.710 * * [simplify]: Extracting #2: cost 25 inf + 123
32.711 * * [simplify]: Extracting #3: cost 29 inf + 247
32.711 * * [simplify]: Extracting #4: cost 24 inf + 576
32.712 * * [simplify]: Extracting #5: cost 9 inf + 2245
32.713 * * [simplify]: Extracting #6: cost 0 inf + 3666
32.713 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
32.713 * [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))))
32.714 * * * * [progress]: [ 59 / 226 ] 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))))>
32.714 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
32.714 * * [simplify]: iters left: 6 (8 enodes)
32.717 * * [simplify]: iters left: 5 (34 enodes)
32.722 * * [simplify]: iters left: 4 (54 enodes)
32.730 * * [simplify]: iters left: 3 (67 enodes)
32.740 * * [simplify]: iters left: 2 (80 enodes)
32.756 * * [simplify]: iters left: 1 (87 enodes)
32.775 * * [simplify]: Extracting #0: cost 1 inf + 0
32.775 * * [simplify]: Extracting #1: cost 11 inf + 0
32.776 * * [simplify]: Extracting #2: cost 25 inf + 203
32.776 * * [simplify]: Extracting #3: cost 26 inf + 773
32.776 * * [simplify]: Extracting #4: cost 24 inf + 896
32.776 * * [simplify]: Extracting #5: cost 8 inf + 3127
32.777 * * [simplify]: Extracting #6: cost 0 inf + 4466
32.778 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
32.778 * [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))))
32.778 * * * * [progress]: [ 60 / 226 ] 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))))>
32.778 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
32.778 * * [simplify]: iters left: 6 (8 enodes)
32.781 * * [simplify]: iters left: 5 (34 enodes)
32.786 * * [simplify]: iters left: 4 (54 enodes)
32.795 * * [simplify]: iters left: 3 (67 enodes)
32.808 * * [simplify]: iters left: 2 (80 enodes)
32.829 * * [simplify]: iters left: 1 (87 enodes)
32.851 * * [simplify]: Extracting #0: cost 1 inf + 0
32.851 * * [simplify]: Extracting #1: cost 11 inf + 0
32.852 * * [simplify]: Extracting #2: cost 25 inf + 123
32.852 * * [simplify]: Extracting #3: cost 26 inf + 493
32.852 * * [simplify]: Extracting #4: cost 24 inf + 576
32.853 * * [simplify]: Extracting #5: cost 8 inf + 2527
32.854 * * [simplify]: Extracting #6: cost 0 inf + 3666
32.856 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
32.856 * [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))))
32.856 * * * * [progress]: [ 61 / 226 ] 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))))>
32.856 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
32.857 * * [simplify]: iters left: 6 (7 enodes)
32.861 * * [simplify]: iters left: 5 (32 enodes)
32.872 * * [simplify]: iters left: 4 (50 enodes)
32.886 * * [simplify]: iters left: 3 (54 enodes)
32.894 * * [simplify]: Extracting #0: cost 1 inf + 0
32.894 * * [simplify]: Extracting #1: cost 8 inf + 0
32.894 * * [simplify]: Extracting #2: cost 13 inf + 3
32.894 * * [simplify]: Extracting #3: cost 15 inf + 5
32.894 * * [simplify]: Extracting #4: cost 14 inf + 6
32.895 * * [simplify]: Extracting #5: cost 4 inf + 825
32.895 * * [simplify]: Extracting #6: cost 0 inf + 1234
32.895 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
32.895 * [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))))
32.895 * * * * [progress]: [ 62 / 226 ] 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))))>
32.895 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
32.896 * * [simplify]: iters left: 6 (7 enodes)
32.898 * * [simplify]: iters left: 5 (30 enodes)
32.903 * * [simplify]: iters left: 4 (49 enodes)
32.910 * * [simplify]: iters left: 3 (59 enodes)
32.920 * * [simplify]: iters left: 2 (64 enodes)
32.929 * * [simplify]: Extracting #0: cost 1 inf + 0
32.930 * * [simplify]: Extracting #1: cost 9 inf + 0
32.930 * * [simplify]: Extracting #2: cost 23 inf + 0
32.930 * * [simplify]: Extracting #3: cost 24 inf + 3
32.930 * * [simplify]: Extracting #4: cost 15 inf + 980
32.930 * * [simplify]: Extracting #5: cost 1 inf + 3007
32.931 * * [simplify]: Extracting #6: cost 0 inf + 3169
32.931 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
32.931 * [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))))
32.931 * * * * [progress]: [ 63 / 226 ] 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))))>
32.932 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
32.932 * * [simplify]: iters left: 6 (8 enodes)
32.934 * * [simplify]: iters left: 5 (33 enodes)
32.941 * * [simplify]: iters left: 4 (55 enodes)
32.956 * * [simplify]: iters left: 3 (72 enodes)
32.973 * * [simplify]: iters left: 2 (84 enodes)
32.993 * * [simplify]: iters left: 1 (88 enodes)
33.008 * * [simplify]: Extracting #0: cost 1 inf + 0
33.008 * * [simplify]: Extracting #1: cost 11 inf + 0
33.008 * * [simplify]: Extracting #2: cost 30 inf + 0
33.008 * * [simplify]: Extracting #3: cost 33 inf + 84
33.008 * * [simplify]: Extracting #4: cost 12 inf + 2402
33.009 * * [simplify]: Extracting #5: cost 0 inf + 4469
33.010 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
33.010 * [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))))
33.010 * * * * [progress]: [ 64 / 226 ] 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))))>
33.010 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
33.010 * * [simplify]: iters left: 6 (7 enodes)
33.012 * * [simplify]: iters left: 5 (30 enodes)
33.018 * * [simplify]: iters left: 4 (52 enodes)
33.028 * * [simplify]: iters left: 3 (70 enodes)
33.038 * * [simplify]: iters left: 2 (81 enodes)
33.048 * * [simplify]: iters left: 1 (84 enodes)
33.065 * * [simplify]: Extracting #0: cost 1 inf + 0
33.065 * * [simplify]: Extracting #1: cost 11 inf + 0
33.065 * * [simplify]: Extracting #2: cost 25 inf + 203
33.066 * * [simplify]: Extracting #3: cost 25 inf + 530
33.066 * * [simplify]: Extracting #4: cost 4 inf + 2936
33.067 * * [simplify]: Extracting #5: cost 0 inf + 3504
33.067 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
33.067 * [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))))
33.067 * * * * [progress]: [ 65 / 226 ] 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))))>
33.068 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
33.068 * * [simplify]: iters left: 6 (8 enodes)
33.070 * * [simplify]: iters left: 5 (33 enodes)
33.076 * * [simplify]: iters left: 4 (55 enodes)
33.084 * * [simplify]: iters left: 3 (72 enodes)
33.094 * * [simplify]: iters left: 2 (84 enodes)
33.117 * * [simplify]: iters left: 1 (88 enodes)
33.128 * * [simplify]: Extracting #0: cost 1 inf + 0
33.129 * * [simplify]: Extracting #1: cost 11 inf + 0
33.129 * * [simplify]: Extracting #2: cost 30 inf + 0
33.129 * * [simplify]: Extracting #3: cost 33 inf + 44
33.129 * * [simplify]: Extracting #4: cost 12 inf + 2362
33.130 * * [simplify]: Extracting #5: cost 0 inf + 4469
33.130 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
33.131 * [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))))
33.131 * * * * [progress]: [ 66 / 226 ] 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))))>
33.131 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
33.131 * * [simplify]: iters left: 6 (7 enodes)
33.133 * * [simplify]: iters left: 5 (30 enodes)
33.140 * * [simplify]: iters left: 4 (48 enodes)
33.147 * * [simplify]: iters left: 3 (56 enodes)
33.154 * * [simplify]: Extracting #0: cost 1 inf + 0
33.154 * * [simplify]: Extracting #1: cost 8 inf + 0
33.154 * * [simplify]: Extracting #2: cost 15 inf + 43
33.154 * * [simplify]: Extracting #3: cost 16 inf + 86
33.154 * * [simplify]: Extracting #4: cost 5 inf + 911
33.155 * * [simplify]: Extracting #5: cost 1 inf + 1198
33.155 * * [simplify]: Extracting #6: cost 0 inf + 1320
33.155 * [simplify]: Simplified to (/ (- 1 k) 2)
33.155 * [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))))
33.156 * * * * [progress]: [ 67 / 226 ] 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))))>
33.156 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
33.156 * * [simplify]: iters left: 6 (7 enodes)
33.158 * * [simplify]: iters left: 5 (30 enodes)
33.166 * * [simplify]: iters left: 4 (52 enodes)
33.182 * * [simplify]: iters left: 3 (70 enodes)
33.201 * * [simplify]: iters left: 2 (81 enodes)
33.214 * * [simplify]: iters left: 1 (84 enodes)
33.224 * * [simplify]: Extracting #0: cost 1 inf + 0
33.224 * * [simplify]: Extracting #1: cost 11 inf + 0
33.224 * * [simplify]: Extracting #2: cost 25 inf + 123
33.225 * * [simplify]: Extracting #3: cost 25 inf + 330
33.225 * * [simplify]: Extracting #4: cost 4 inf + 2256
33.225 * * [simplify]: Extracting #5: cost 0 inf + 2704
33.226 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
33.226 * [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))))
33.226 * * * * [progress]: [ 68 / 226 ] 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))))>
33.226 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
33.227 * * [simplify]: iters left: 6 (7 enodes)
33.229 * * [simplify]: iters left: 5 (31 enodes)
33.235 * * [simplify]: iters left: 4 (51 enodes)
33.243 * * [simplify]: iters left: 3 (64 enodes)
33.252 * * [simplify]: iters left: 2 (77 enodes)
33.263 * * [simplify]: iters left: 1 (84 enodes)
33.281 * * [simplify]: Extracting #0: cost 1 inf + 0
33.281 * * [simplify]: Extracting #1: cost 11 inf + 0
33.281 * * [simplify]: Extracting #2: cost 26 inf + 82
33.282 * * [simplify]: Extracting #3: cost 24 inf + 692
33.282 * * [simplify]: Extracting #4: cost 3 inf + 3057
33.283 * * [simplify]: Extracting #5: cost 0 inf + 3504
33.284 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
33.284 * [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))))
33.284 * * * * [progress]: [ 69 / 226 ] 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))))>
33.285 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
33.285 * * [simplify]: iters left: 6 (7 enodes)
33.289 * * [simplify]: iters left: 5 (31 enodes)
33.299 * * [simplify]: iters left: 4 (51 enodes)
33.311 * * [simplify]: iters left: 3 (64 enodes)
33.320 * * [simplify]: iters left: 2 (77 enodes)
33.331 * * [simplify]: iters left: 1 (84 enodes)
33.342 * * [simplify]: Extracting #0: cost 1 inf + 0
33.342 * * [simplify]: Extracting #1: cost 11 inf + 0
33.342 * * [simplify]: Extracting #2: cost 26 inf + 42
33.342 * * [simplify]: Extracting #3: cost 24 inf + 452
33.343 * * [simplify]: Extracting #4: cost 3 inf + 2337
33.344 * * [simplify]: Extracting #5: cost 0 inf + 2704
33.344 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
33.344 * [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))))
33.345 * * * * [progress]: [ 70 / 226 ] 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))))>
33.345 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
33.345 * * [simplify]: iters left: 6 (6 enodes)
33.348 * * [simplify]: iters left: 5 (29 enodes)
33.353 * * [simplify]: iters left: 4 (44 enodes)
33.365 * * [simplify]: iters left: 3 (50 enodes)
33.380 * * [simplify]: iters left: 2 (57 enodes)
33.395 * * [simplify]: Extracting #0: cost 1 inf + 0
33.395 * * [simplify]: Extracting #1: cost 9 inf + 0
33.395 * * [simplify]: Extracting #2: cost 15 inf + 3
33.395 * * [simplify]: Extracting #3: cost 11 inf + 131
33.396 * * [simplify]: Extracting #4: cost 2 inf + 711
33.396 * * [simplify]: Extracting #5: cost 0 inf + 836
33.397 * [simplify]: Simplified to (- 1/4 (/ k 4))
33.397 * [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))))
33.397 * * * * [progress]: [ 71 / 226 ] 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))))>
33.397 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
33.397 * * [simplify]: iters left: 6 (7 enodes)
33.402 * * [simplify]: iters left: 5 (31 enodes)
33.413 * * [simplify]: iters left: 4 (51 enodes)
33.430 * * [simplify]: iters left: 3 (64 enodes)
33.448 * * [simplify]: iters left: 2 (77 enodes)
33.470 * * [simplify]: iters left: 1 (84 enodes)
33.491 * * [simplify]: Extracting #0: cost 1 inf + 0
33.491 * * [simplify]: Extracting #1: cost 11 inf + 0
33.491 * * [simplify]: Extracting #2: cost 26 inf + 82
33.491 * * [simplify]: Extracting #3: cost 24 inf + 692
33.492 * * [simplify]: Extracting #4: cost 3 inf + 3057
33.493 * * [simplify]: Extracting #5: cost 0 inf + 3504
33.494 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
33.494 * [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))))
33.495 * * * * [progress]: [ 72 / 226 ] 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))))>
33.495 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
33.495 * * [simplify]: iters left: 6 (7 enodes)
33.500 * * [simplify]: iters left: 5 (31 enodes)
33.507 * * [simplify]: iters left: 4 (51 enodes)
33.515 * * [simplify]: iters left: 3 (64 enodes)
33.524 * * [simplify]: iters left: 2 (77 enodes)
33.534 * * [simplify]: iters left: 1 (84 enodes)
33.555 * * [simplify]: Extracting #0: cost 1 inf + 0
33.555 * * [simplify]: Extracting #1: cost 11 inf + 0
33.556 * * [simplify]: Extracting #2: cost 26 inf + 42
33.556 * * [simplify]: Extracting #3: cost 24 inf + 452
33.557 * * [simplify]: Extracting #4: cost 3 inf + 2337
33.558 * * [simplify]: Extracting #5: cost 0 inf + 2704
33.559 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
33.559 * [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))))
33.559 * * * * [progress]: [ 73 / 226 ] 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))))>
33.560 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
33.560 * * [simplify]: iters left: 6 (6 enodes)
33.564 * * [simplify]: iters left: 5 (29 enodes)
33.574 * * [simplify]: iters left: 4 (44 enodes)
33.588 * * [simplify]: iters left: 3 (50 enodes)
33.602 * * [simplify]: iters left: 2 (57 enodes)
33.617 * * [simplify]: Extracting #0: cost 1 inf + 0
33.618 * * [simplify]: Extracting #1: cost 9 inf + 0
33.618 * * [simplify]: Extracting #2: cost 15 inf + 3
33.618 * * [simplify]: Extracting #3: cost 11 inf + 131
33.618 * * [simplify]: Extracting #4: cost 2 inf + 711
33.619 * * [simplify]: Extracting #5: cost 0 inf + 836
33.619 * [simplify]: Simplified to (- 1/4 (/ k 4))
33.619 * [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))))
33.619 * * * * [progress]: [ 74 / 226 ] 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))))>
33.620 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
33.620 * * [simplify]: iters left: 4 (5 enodes)
33.624 * * [simplify]: iters left: 3 (20 enodes)
33.628 * * [simplify]: iters left: 2 (27 enodes)
33.632 * * [simplify]: iters left: 1 (29 enodes)
33.636 * * [simplify]: Extracting #0: cost 1 inf + 0
33.636 * * [simplify]: Extracting #1: cost 8 inf + 0
33.636 * * [simplify]: Extracting #2: cost 4 inf + 449
33.637 * * [simplify]: Extracting #3: cost 0 inf + 895
33.637 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
33.637 * [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))))
33.637 * * * * [progress]: [ 75 / 226 ] 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))))>
33.637 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
33.637 * * [simplify]: iters left: 4 (5 enodes)
33.640 * * [simplify]: iters left: 3 (20 enodes)
33.643 * * [simplify]: iters left: 2 (27 enodes)
33.648 * * [simplify]: iters left: 1 (29 enodes)
33.652 * * [simplify]: Extracting #0: cost 1 inf + 0
33.652 * * [simplify]: Extracting #1: cost 8 inf + 0
33.653 * * [simplify]: Extracting #2: cost 4 inf + 289
33.653 * * [simplify]: Extracting #3: cost 0 inf + 575
33.653 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
33.653 * [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))))
33.653 * * * * [progress]: [ 76 / 226 ] 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))))>
33.654 * [simplify]: Simplifying (/ (/ 1 2) 2)
33.654 * * [simplify]: iters left: 4 (4 enodes)
33.659 * * [simplify]: iters left: 3 (19 enodes)
33.669 * * [simplify]: iters left: 2 (23 enodes)
33.675 * * [simplify]: Extracting #0: cost 1 inf + 0
33.675 * * [simplify]: Extracting #1: cost 0 inf + 1
33.675 * [simplify]: Simplified to 1/4
33.676 * [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))))
33.676 * * * * [progress]: [ 77 / 226 ] 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))))>
33.676 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
33.676 * * [simplify]: iters left: 6 (6 enodes)
33.681 * * [simplify]: iters left: 5 (29 enodes)
33.691 * * [simplify]: iters left: 4 (44 enodes)
33.702 * * [simplify]: iters left: 3 (50 enodes)
33.709 * * [simplify]: iters left: 2 (57 enodes)
33.717 * * [simplify]: Extracting #0: cost 1 inf + 0
33.717 * * [simplify]: Extracting #1: cost 9 inf + 0
33.717 * * [simplify]: Extracting #2: cost 15 inf + 3
33.717 * * [simplify]: Extracting #3: cost 11 inf + 131
33.717 * * [simplify]: Extracting #4: cost 2 inf + 711
33.718 * * [simplify]: Extracting #5: cost 0 inf + 836
33.718 * [simplify]: Simplified to (- 1/4 (/ k 4))
33.718 * [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) (- 1/4 (/ k 4))) (sqrt k))))
33.718 * * * * [progress]: [ 78 / 226 ] 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))))>
33.718 * [simplify]: Simplifying (/ 1 2)
33.718 * * [simplify]: iters left: 2 (3 enodes)
33.720 * * [simplify]: iters left: 1 (12 enodes)
33.722 * * [simplify]: Extracting #0: cost 1 inf + 0
33.722 * * [simplify]: Extracting #1: cost 0 inf + 1
33.722 * [simplify]: Simplified to 1/2
33.722 * [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))))
33.722 * * * * [progress]: [ 79 / 226 ] 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))))>
33.723 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
33.723 * * [simplify]: iters left: 6 (8 enodes)
33.725 * * [simplify]: iters left: 5 (38 enodes)
33.736 * * [simplify]: iters left: 4 (66 enodes)
33.755 * * [simplify]: iters left: 3 (110 enodes)
33.777 * * [simplify]: iters left: 2 (200 enodes)
33.832 * * [simplify]: iters left: 1 (403 enodes)
34.021 * * [simplify]: Extracting #0: cost 1 inf + 0
34.021 * * [simplify]: Extracting #1: cost 26 inf + 0
34.022 * * [simplify]: Extracting #2: cost 100 inf + 2
34.022 * * [simplify]: Extracting #3: cost 164 inf + 10
34.023 * * [simplify]: Extracting #4: cost 157 inf + 1472
34.027 * * [simplify]: Extracting #5: cost 64 inf + 19273
34.034 * * [simplify]: Extracting #6: cost 8 inf + 47461
34.043 * * [simplify]: Extracting #7: cost 0 inf + 52807
34.054 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
34.054 * [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))))
34.054 * * * * [progress]: [ 80 / 226 ] 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))))>
34.054 * * * * [progress]: [ 81 / 226 ] 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))))>
34.054 * * * * [progress]: [ 82 / 226 ] 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))))>
34.054 * * * * [progress]: [ 83 / 226 ] 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))))>
34.055 * * * * [progress]: [ 84 / 226 ] 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))))>
34.055 * * * * [progress]: [ 85 / 226 ] 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))))>
34.055 * * * * [progress]: [ 86 / 226 ] 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))))>
34.055 * * * * [progress]: [ 87 / 226 ] 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))))>
34.055 * * * * [progress]: [ 88 / 226 ] 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))))>
34.055 * * * * [progress]: [ 89 / 226 ] 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))))>
34.055 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
34.055 * * [simplify]: iters left: 6 (14 enodes)
34.063 * * [simplify]: iters left: 5 (60 enodes)
34.088 * * [simplify]: iters left: 4 (108 enodes)
34.120 * * [simplify]: iters left: 3 (249 enodes)
34.197 * * [simplify]: Extracting #0: cost 1 inf + 0
34.197 * * [simplify]: Extracting #1: cost 28 inf + 0
34.197 * * [simplify]: Extracting #2: cost 114 inf + 2
34.198 * * [simplify]: Extracting #3: cost 151 inf + 301
34.199 * * [simplify]: Extracting #4: cost 84 inf + 10352
34.204 * * [simplify]: Extracting #5: cost 17 inf + 27228
34.209 * * [simplify]: Extracting #6: cost 0 inf + 31848
34.219 * * [simplify]: Extracting #7: cost 0 inf + 31808
34.230 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))
34.230 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
34.231 * * * * [progress]: [ 90 / 226 ] 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))))>
34.231 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
34.231 * * [simplify]: iters left: 6 (13 enodes)
34.238 * * [simplify]: iters left: 5 (58 enodes)
34.247 * * [simplify]: iters left: 4 (101 enodes)
34.270 * * [simplify]: iters left: 3 (207 enodes)
34.328 * * [simplify]: iters left: 2 (498 enodes)
34.488 * * [simplify]: Extracting #0: cost 1 inf + 0
34.488 * * [simplify]: Extracting #1: cost 58 inf + 0
34.489 * * [simplify]: Extracting #2: cost 205 inf + 4
34.490 * * [simplify]: Extracting #3: cost 244 inf + 1075
34.493 * * [simplify]: Extracting #4: cost 137 inf + 20618
34.511 * * [simplify]: Extracting #5: cost 12 inf + 54441
34.535 * * [simplify]: Extracting #6: cost 0 inf + 58827
34.559 * * [simplify]: Extracting #7: cost 0 inf + 58826
34.586 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)
34.586 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
34.586 * * * * [progress]: [ 91 / 226 ] 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))))>
34.587 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
34.587 * * [simplify]: iters left: 6 (12 enodes)
34.595 * * [simplify]: iters left: 5 (57 enodes)
34.606 * * [simplify]: iters left: 4 (111 enodes)
34.623 * * [simplify]: iters left: 3 (212 enodes)
34.680 * * [simplify]: iters left: 2 (446 enodes)
34.798 * * [simplify]: Extracting #0: cost 1 inf + 0
34.798 * * [simplify]: Extracting #1: cost 34 inf + 0
34.798 * * [simplify]: Extracting #2: cost 143 inf + 4
34.799 * * [simplify]: Extracting #3: cost 200 inf + 396
34.801 * * [simplify]: Extracting #4: cost 133 inf + 9596
34.813 * * [simplify]: Extracting #5: cost 32 inf + 30294
34.828 * * [simplify]: Extracting #6: cost 1 inf + 36989
34.844 * * [simplify]: Extracting #7: cost 0 inf + 37182
34.862 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
34.862 * [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))))
34.863 * * * * [progress]: [ 92 / 226 ] 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))))>
34.863 * * * * [progress]: [ 93 / 226 ] 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))))>
34.863 * [simplify]: Simplifying (* n (* 2 PI))
34.863 * * [simplify]: iters left: 4 (5 enodes)
34.866 * * [simplify]: iters left: 3 (19 enodes)
34.872 * * [simplify]: iters left: 2 (27 enodes)
34.880 * * [simplify]: iters left: 1 (32 enodes)
34.887 * * [simplify]: Extracting #0: cost 1 inf + 0
34.887 * * [simplify]: Extracting #1: cost 8 inf + 0
34.887 * * [simplify]: Extracting #2: cost 7 inf + 45
34.888 * * [simplify]: Extracting #3: cost 0 inf + 421
34.888 * [simplify]: Simplified to (* (* PI 2) n)
34.888 * [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))))
34.888 * * * * [progress]: [ 94 / 226 ] 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))))>
34.889 * [simplify]: Simplifying (* n (* 2 PI))
34.889 * * [simplify]: iters left: 4 (5 enodes)
34.891 * * [simplify]: iters left: 3 (19 enodes)
34.897 * * [simplify]: iters left: 2 (27 enodes)
34.905 * * [simplify]: iters left: 1 (32 enodes)
34.914 * * [simplify]: Extracting #0: cost 1 inf + 0
34.914 * * [simplify]: Extracting #1: cost 8 inf + 0
34.914 * * [simplify]: Extracting #2: cost 7 inf + 45
34.914 * * [simplify]: Extracting #3: cost 0 inf + 421
34.914 * [simplify]: Simplified to (* (* PI 2) n)
34.914 * [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))))
34.915 * * * * [progress]: [ 95 / 226 ] 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))))>
34.915 * [simplify]: Simplifying (* n (* 2 PI))
34.915 * * [simplify]: iters left: 4 (5 enodes)
34.918 * * [simplify]: iters left: 3 (19 enodes)
34.923 * * [simplify]: iters left: 2 (27 enodes)
34.931 * * [simplify]: iters left: 1 (32 enodes)
34.939 * * [simplify]: Extracting #0: cost 1 inf + 0
34.939 * * [simplify]: Extracting #1: cost 8 inf + 0
34.939 * * [simplify]: Extracting #2: cost 7 inf + 45
34.939 * * [simplify]: Extracting #3: cost 0 inf + 421
34.940 * [simplify]: Simplified to (* (* PI 2) n)
34.940 * [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))))
34.940 * * * * [progress]: [ 96 / 226 ] 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))))>
34.940 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
34.941 * * [simplify]: iters left: 5 (9 enodes)
34.945 * * [simplify]: iters left: 4 (37 enodes)
34.957 * * [simplify]: iters left: 3 (57 enodes)
34.975 * * [simplify]: iters left: 2 (93 enodes)
35.006 * * [simplify]: iters left: 1 (170 enodes)
35.068 * * [simplify]: Extracting #0: cost 1 inf + 0
35.068 * * [simplify]: Extracting #1: cost 13 inf + 0
35.069 * * [simplify]: Extracting #2: cost 59 inf + 1
35.069 * * [simplify]: Extracting #3: cost 78 inf + 176
35.071 * * [simplify]: Extracting #4: cost 40 inf + 3875
35.075 * * [simplify]: Extracting #5: cost 7 inf + 16988
35.081 * * [simplify]: Extracting #6: cost 0 inf + 20577
35.087 * * [simplify]: Extracting #7: cost 0 inf + 20336
35.092 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
35.092 * [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))))
35.093 * * * * [progress]: [ 97 / 226 ] 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))))>
35.093 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
35.093 * * [simplify]: iters left: 6 (7 enodes)
35.098 * * [simplify]: iters left: 5 (32 enodes)
35.108 * * [simplify]: iters left: 4 (47 enodes)
35.122 * * [simplify]: iters left: 3 (53 enodes)
35.137 * * [simplify]: iters left: 2 (60 enodes)
35.157 * * [simplify]: Extracting #0: cost 1 inf + 0
35.157 * * [simplify]: Extracting #1: cost 3 inf + 0
35.157 * * [simplify]: Extracting #2: cost 11 inf + 0
35.157 * * [simplify]: Extracting #3: cost 17 inf + 3
35.158 * * [simplify]: Extracting #4: cost 14 inf + 129
35.158 * * [simplify]: Extracting #5: cost 3 inf + 794
35.158 * * [simplify]: Extracting #6: cost 0 inf + 1162
35.159 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
35.159 * [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))))
35.159 * * * * [progress]: [ 98 / 226 ] 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))))>
35.160 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
35.160 * * [simplify]: iters left: 6 (7 enodes)
35.165 * * [simplify]: iters left: 5 (32 enodes)
35.170 * * [simplify]: iters left: 4 (47 enodes)
35.177 * * [simplify]: iters left: 3 (53 enodes)
35.185 * * [simplify]: iters left: 2 (60 enodes)
35.193 * * [simplify]: Extracting #0: cost 1 inf + 0
35.193 * * [simplify]: Extracting #1: cost 3 inf + 0
35.193 * * [simplify]: Extracting #2: cost 11 inf + 0
35.194 * * [simplify]: Extracting #3: cost 17 inf + 3
35.194 * * [simplify]: Extracting #4: cost 14 inf + 129
35.194 * * [simplify]: Extracting #5: cost 3 inf + 794
35.195 * * [simplify]: Extracting #6: cost 0 inf + 1082
35.195 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
35.195 * [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))))
35.195 * * * * [progress]: [ 99 / 226 ] 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))))>
35.196 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
35.196 * * [simplify]: iters left: 6 (8 enodes)
35.201 * * [simplify]: iters left: 5 (32 enodes)
35.210 * * [simplify]: iters left: 4 (41 enodes)
35.216 * * [simplify]: Extracting #0: cost 1 inf + 0
35.216 * * [simplify]: Extracting #1: cost 4 inf + 0
35.216 * * [simplify]: Extracting #2: cost 8 inf + 0
35.216 * * [simplify]: Extracting #3: cost 9 inf + 163
35.216 * * [simplify]: Extracting #4: cost 13 inf + 164
35.216 * * [simplify]: Extracting #5: cost 10 inf + 249
35.216 * * [simplify]: Extracting #6: cost 3 inf + 986
35.217 * * [simplify]: Extracting #7: cost 0 inf + 1474
35.217 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
35.217 * [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))))
35.217 * * * * [progress]: [ 100 / 226 ] 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))))>
35.217 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
35.217 * * [simplify]: iters left: 6 (8 enodes)
35.220 * * [simplify]: iters left: 5 (32 enodes)
35.225 * * [simplify]: iters left: 4 (41 enodes)
35.232 * * [simplify]: Extracting #0: cost 1 inf + 0
35.232 * * [simplify]: Extracting #1: cost 4 inf + 0
35.232 * * [simplify]: Extracting #2: cost 8 inf + 0
35.232 * * [simplify]: Extracting #3: cost 9 inf + 83
35.232 * * [simplify]: Extracting #4: cost 13 inf + 84
35.232 * * [simplify]: Extracting #5: cost 10 inf + 169
35.232 * * [simplify]: Extracting #6: cost 3 inf + 866
35.233 * * [simplify]: Extracting #7: cost 0 inf + 1314
35.233 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
35.233 * [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))))
35.233 * * * * [progress]: [ 101 / 226 ] 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))))>
35.233 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
35.233 * * [simplify]: iters left: 6 (7 enodes)
35.236 * * [simplify]: iters left: 5 (29 enodes)
35.247 * * [simplify]: iters left: 4 (38 enodes)
35.255 * * [simplify]: Extracting #0: cost 1 inf + 0
35.255 * * [simplify]: Extracting #1: cost 4 inf + 0
35.255 * * [simplify]: Extracting #2: cost 5 inf + 1
35.255 * * [simplify]: Extracting #3: cost 9 inf + 1
35.255 * * [simplify]: Extracting #4: cost 13 inf + 2
35.255 * * [simplify]: Extracting #5: cost 12 inf + 4
35.256 * * [simplify]: Extracting #6: cost 2 inf + 746
35.256 * * [simplify]: Extracting #7: cost 0 inf + 1152
35.256 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
35.256 * [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))))
35.256 * * * * [progress]: [ 102 / 226 ] 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))))>
35.256 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
35.257 * * [simplify]: iters left: 6 (8 enodes)
35.259 * * [simplify]: iters left: 5 (32 enodes)
35.265 * * [simplify]: iters left: 4 (41 enodes)
35.271 * * [simplify]: Extracting #0: cost 1 inf + 0
35.271 * * [simplify]: Extracting #1: cost 4 inf + 0
35.271 * * [simplify]: Extracting #2: cost 8 inf + 0
35.271 * * [simplify]: Extracting #3: cost 9 inf + 163
35.271 * * [simplify]: Extracting #4: cost 13 inf + 164
35.271 * * [simplify]: Extracting #5: cost 10 inf + 249
35.271 * * [simplify]: Extracting #6: cost 3 inf + 906
35.271 * * [simplify]: Extracting #7: cost 0 inf + 1314
35.271 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
35.271 * [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))))
35.272 * * * * [progress]: [ 103 / 226 ] 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))))>
35.272 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
35.272 * * [simplify]: iters left: 6 (8 enodes)
35.277 * * [simplify]: iters left: 5 (32 enodes)
35.287 * * [simplify]: iters left: 4 (41 enodes)
35.299 * * [simplify]: Extracting #0: cost 1 inf + 0
35.299 * * [simplify]: Extracting #1: cost 4 inf + 0
35.299 * * [simplify]: Extracting #2: cost 8 inf + 0
35.299 * * [simplify]: Extracting #3: cost 9 inf + 83
35.299 * * [simplify]: Extracting #4: cost 13 inf + 84
35.299 * * [simplify]: Extracting #5: cost 10 inf + 169
35.299 * * [simplify]: Extracting #6: cost 3 inf + 786
35.300 * * [simplify]: Extracting #7: cost 0 inf + 1154
35.300 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
35.300 * [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))))
35.301 * * * * [progress]: [ 104 / 226 ] 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))))>
35.301 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
35.301 * * [simplify]: iters left: 6 (7 enodes)
35.305 * * [simplify]: iters left: 5 (29 enodes)
35.315 * * [simplify]: iters left: 4 (38 enodes)
35.327 * * [simplify]: Extracting #0: cost 1 inf + 0
35.327 * * [simplify]: Extracting #1: cost 4 inf + 0
35.327 * * [simplify]: Extracting #2: cost 5 inf + 1
35.327 * * [simplify]: Extracting #3: cost 9 inf + 1
35.328 * * [simplify]: Extracting #4: cost 13 inf + 2
35.328 * * [simplify]: Extracting #5: cost 12 inf + 4
35.328 * * [simplify]: Extracting #6: cost 2 inf + 666
35.328 * * [simplify]: Extracting #7: cost 0 inf + 992
35.329 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
35.329 * [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))))
35.329 * * * * [progress]: [ 105 / 226 ] 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))))>
35.329 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
35.329 * * [simplify]: iters left: 6 (8 enodes)
35.334 * * [simplify]: iters left: 5 (30 enodes)
35.344 * * [simplify]: iters left: 4 (37 enodes)
35.355 * * [simplify]: Extracting #0: cost 1 inf + 0
35.355 * * [simplify]: Extracting #1: cost 6 inf + 0
35.355 * * [simplify]: Extracting #2: cost 12 inf + 0
35.355 * * [simplify]: Extracting #3: cost 11 inf + 405
35.356 * * [simplify]: Extracting #4: cost 10 inf + 407
35.356 * * [simplify]: Extracting #5: cost 4 inf + 1220
35.356 * * [simplify]: Extracting #6: cost 0 inf + 1869
35.357 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
35.357 * [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))))
35.357 * * * * [progress]: [ 106 / 226 ] 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))))>
35.357 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
35.358 * * [simplify]: iters left: 6 (9 enodes)
35.363 * * [simplify]: iters left: 5 (33 enodes)
35.374 * * [simplify]: iters left: 4 (43 enodes)
35.390 * * [simplify]: iters left: 3 (45 enodes)
35.402 * * [simplify]: Extracting #0: cost 1 inf + 0
35.402 * * [simplify]: Extracting #1: cost 8 inf + 0
35.402 * * [simplify]: Extracting #2: cost 16 inf + 0
35.403 * * [simplify]: Extracting #3: cost 16 inf + 284
35.403 * * [simplify]: Extracting #4: cost 11 inf + 610
35.403 * * [simplify]: Extracting #5: cost 8 inf + 815
35.404 * * [simplify]: Extracting #6: cost 0 inf + 2517
35.405 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
35.405 * [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))))
35.405 * * * * [progress]: [ 107 / 226 ] 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))))>
35.406 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
35.406 * * [simplify]: iters left: 6 (8 enodes)
35.410 * * [simplify]: iters left: 5 (30 enodes)
35.420 * * [simplify]: iters left: 4 (40 enodes)
35.432 * * [simplify]: iters left: 3 (42 enodes)
35.444 * * [simplify]: Extracting #0: cost 1 inf + 0
35.444 * * [simplify]: Extracting #1: cost 8 inf + 0
35.444 * * [simplify]: Extracting #2: cost 12 inf + 82
35.444 * * [simplify]: Extracting #3: cost 13 inf + 405
35.444 * * [simplify]: Extracting #4: cost 12 inf + 407
35.445 * * [simplify]: Extracting #5: cost 5 inf + 1383
35.445 * * [simplify]: Extracting #6: cost 0 inf + 2195
35.446 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
35.446 * [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))))
35.446 * * * * [progress]: [ 108 / 226 ] 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))))>
35.446 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
35.447 * * [simplify]: iters left: 6 (9 enodes)
35.452 * * [simplify]: iters left: 5 (33 enodes)
35.463 * * [simplify]: iters left: 4 (43 enodes)
35.476 * * [simplify]: iters left: 3 (45 enodes)
35.489 * * [simplify]: Extracting #0: cost 1 inf + 0
35.489 * * [simplify]: Extracting #1: cost 8 inf + 0
35.489 * * [simplify]: Extracting #2: cost 16 inf + 0
35.489 * * [simplify]: Extracting #3: cost 16 inf + 284
35.490 * * [simplify]: Extracting #4: cost 11 inf + 610
35.490 * * [simplify]: Extracting #5: cost 8 inf + 815
35.490 * * [simplify]: Extracting #6: cost 0 inf + 2517
35.491 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
35.491 * [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))))
35.492 * * * * [progress]: [ 109 / 226 ] 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))))>
35.492 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
35.492 * * [simplify]: iters left: 6 (8 enodes)
35.497 * * [simplify]: iters left: 5 (30 enodes)
35.506 * * [simplify]: iters left: 4 (35 enodes)
35.516 * * [simplify]: Extracting #0: cost 1 inf + 0
35.516 * * [simplify]: Extracting #1: cost 6 inf + 0
35.516 * * [simplify]: Extracting #2: cost 8 inf + 42
35.516 * * [simplify]: Extracting #3: cost 11 inf + 83
35.517 * * [simplify]: Extracting #4: cost 10 inf + 85
35.517 * * [simplify]: Extracting #5: cost 4 inf + 658
35.517 * * [simplify]: Extracting #6: cost 0 inf + 1227
35.518 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
35.518 * [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))))
35.518 * * * * [progress]: [ 110 / 226 ] 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))))>
35.518 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
35.518 * * [simplify]: iters left: 6 (8 enodes)
35.523 * * [simplify]: iters left: 5 (30 enodes)
35.532 * * [simplify]: iters left: 4 (40 enodes)
35.546 * * [simplify]: iters left: 3 (42 enodes)
35.558 * * [simplify]: Extracting #0: cost 1 inf + 0
35.558 * * [simplify]: Extracting #1: cost 8 inf + 0
35.558 * * [simplify]: Extracting #2: cost 12 inf + 42
35.558 * * [simplify]: Extracting #3: cost 13 inf + 245
35.558 * * [simplify]: Extracting #4: cost 12 inf + 247
35.558 * * [simplify]: Extracting #5: cost 5 inf + 1143
35.559 * * [simplify]: Extracting #6: cost 0 inf + 1875
35.560 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
35.560 * [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))))
35.560 * * * * [progress]: [ 111 / 226 ] 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))))>
35.560 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
35.560 * * [simplify]: iters left: 6 (8 enodes)
35.565 * * [simplify]: iters left: 5 (30 enodes)
35.575 * * [simplify]: iters left: 4 (40 enodes)
35.586 * * [simplify]: iters left: 3 (42 enodes)
35.597 * * [simplify]: Extracting #0: cost 1 inf + 0
35.597 * * [simplify]: Extracting #1: cost 8 inf + 0
35.597 * * [simplify]: Extracting #2: cost 11 inf + 203
35.597 * * [simplify]: Extracting #3: cost 13 inf + 405
35.597 * * [simplify]: Extracting #4: cost 12 inf + 407
35.598 * * [simplify]: Extracting #5: cost 3 inf + 1789
35.598 * * [simplify]: Extracting #6: cost 0 inf + 2195
35.598 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
35.598 * [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))))
35.598 * * * * [progress]: [ 112 / 226 ] 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))))>
35.598 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
35.599 * * [simplify]: iters left: 6 (8 enodes)
35.601 * * [simplify]: iters left: 5 (30 enodes)
35.606 * * [simplify]: iters left: 4 (40 enodes)
35.611 * * [simplify]: iters left: 3 (42 enodes)
35.618 * * [simplify]: Extracting #0: cost 1 inf + 0
35.618 * * [simplify]: Extracting #1: cost 8 inf + 0
35.618 * * [simplify]: Extracting #2: cost 11 inf + 123
35.618 * * [simplify]: Extracting #3: cost 13 inf + 245
35.618 * * [simplify]: Extracting #4: cost 12 inf + 247
35.618 * * [simplify]: Extracting #5: cost 3 inf + 1509
35.618 * * [simplify]: Extracting #6: cost 0 inf + 1875
35.619 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
35.619 * [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))))
35.619 * * * * [progress]: [ 113 / 226 ] 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))))>
35.619 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
35.619 * * [simplify]: iters left: 6 (7 enodes)
35.621 * * [simplify]: iters left: 5 (28 enodes)
35.626 * * [simplify]: iters left: 4 (35 enodes)
35.631 * * [simplify]: Extracting #0: cost 1 inf + 0
35.631 * * [simplify]: Extracting #1: cost 6 inf + 0
35.631 * * [simplify]: Extracting #2: cost 7 inf + 2
35.631 * * [simplify]: Extracting #3: cost 11 inf + 2
35.631 * * [simplify]: Extracting #4: cost 9 inf + 45
35.631 * * [simplify]: Extracting #5: cost 4 inf + 455
35.631 * * [simplify]: Extracting #6: cost 0 inf + 1066
35.631 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
35.631 * [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))))
35.632 * * * * [progress]: [ 114 / 226 ] 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))))>
35.632 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
35.632 * * [simplify]: iters left: 6 (8 enodes)
35.634 * * [simplify]: iters left: 5 (30 enodes)
35.639 * * [simplify]: iters left: 4 (37 enodes)
35.644 * * [simplify]: Extracting #0: cost 1 inf + 0
35.644 * * [simplify]: Extracting #1: cost 6 inf + 0
35.645 * * [simplify]: Extracting #2: cost 12 inf + 0
35.645 * * [simplify]: Extracting #3: cost 11 inf + 405
35.645 * * [simplify]: Extracting #4: cost 10 inf + 407
35.645 * * [simplify]: Extracting #5: cost 4 inf + 1100
35.646 * * [simplify]: Extracting #6: cost 0 inf + 1629
35.646 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
35.646 * [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))))
35.647 * * * * [progress]: [ 115 / 226 ] 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))))>
35.647 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
35.647 * * [simplify]: iters left: 6 (9 enodes)
35.654 * * [simplify]: iters left: 5 (33 enodes)
35.664 * * [simplify]: iters left: 4 (43 enodes)
35.677 * * [simplify]: iters left: 3 (45 enodes)
35.690 * * [simplify]: Extracting #0: cost 1 inf + 0
35.690 * * [simplify]: Extracting #1: cost 8 inf + 0
35.690 * * [simplify]: Extracting #2: cost 16 inf + 0
35.690 * * [simplify]: Extracting #3: cost 16 inf + 284
35.690 * * [simplify]: Extracting #4: cost 11 inf + 610
35.690 * * [simplify]: Extracting #5: cost 8 inf + 775
35.691 * * [simplify]: Extracting #6: cost 0 inf + 2197
35.692 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
35.692 * [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))))
35.692 * * * * [progress]: [ 116 / 226 ] 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))))>
35.692 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
35.692 * * [simplify]: iters left: 6 (8 enodes)
35.697 * * [simplify]: iters left: 5 (30 enodes)
35.707 * * [simplify]: iters left: 4 (40 enodes)
35.719 * * [simplify]: iters left: 3 (42 enodes)
35.730 * * [simplify]: Extracting #0: cost 1 inf + 0
35.730 * * [simplify]: Extracting #1: cost 8 inf + 0
35.731 * * [simplify]: Extracting #2: cost 12 inf + 82
35.731 * * [simplify]: Extracting #3: cost 13 inf + 405
35.731 * * [simplify]: Extracting #4: cost 12 inf + 407
35.731 * * [simplify]: Extracting #5: cost 5 inf + 1223
35.732 * * [simplify]: Extracting #6: cost 0 inf + 1875
35.732 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
35.732 * [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))))
35.733 * * * * [progress]: [ 117 / 226 ] 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))))>
35.733 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
35.733 * * [simplify]: iters left: 6 (9 enodes)
35.739 * * [simplify]: iters left: 5 (33 enodes)
35.749 * * [simplify]: iters left: 4 (43 enodes)
35.762 * * [simplify]: iters left: 3 (45 enodes)
35.772 * * [simplify]: Extracting #0: cost 1 inf + 0
35.772 * * [simplify]: Extracting #1: cost 8 inf + 0
35.772 * * [simplify]: Extracting #2: cost 16 inf + 0
35.772 * * [simplify]: Extracting #3: cost 16 inf + 284
35.772 * * [simplify]: Extracting #4: cost 11 inf + 610
35.773 * * [simplify]: Extracting #5: cost 8 inf + 775
35.773 * * [simplify]: Extracting #6: cost 0 inf + 2197
35.773 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
35.773 * [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))))
35.773 * * * * [progress]: [ 118 / 226 ] 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))))>
35.774 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
35.774 * * [simplify]: iters left: 6 (8 enodes)
35.776 * * [simplify]: iters left: 5 (30 enodes)
35.781 * * [simplify]: iters left: 4 (35 enodes)
35.788 * * [simplify]: Extracting #0: cost 1 inf + 0
35.788 * * [simplify]: Extracting #1: cost 6 inf + 0
35.788 * * [simplify]: Extracting #2: cost 8 inf + 42
35.788 * * [simplify]: Extracting #3: cost 11 inf + 83
35.788 * * [simplify]: Extracting #4: cost 10 inf + 85
35.788 * * [simplify]: Extracting #5: cost 4 inf + 538
35.788 * * [simplify]: Extracting #6: cost 0 inf + 987
35.788 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
35.788 * [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))))
35.788 * * * * [progress]: [ 119 / 226 ] 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))))>
35.789 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
35.789 * * [simplify]: iters left: 6 (8 enodes)
35.791 * * [simplify]: iters left: 5 (30 enodes)
35.796 * * [simplify]: iters left: 4 (40 enodes)
35.802 * * [simplify]: iters left: 3 (42 enodes)
35.808 * * [simplify]: Extracting #0: cost 1 inf + 0
35.808 * * [simplify]: Extracting #1: cost 8 inf + 0
35.808 * * [simplify]: Extracting #2: cost 12 inf + 42
35.808 * * [simplify]: Extracting #3: cost 13 inf + 245
35.809 * * [simplify]: Extracting #4: cost 12 inf + 247
35.809 * * [simplify]: Extracting #5: cost 5 inf + 983
35.809 * * [simplify]: Extracting #6: cost 0 inf + 1555
35.809 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
35.809 * [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))))
35.809 * * * * [progress]: [ 120 / 226 ] 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))))>
35.810 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
35.810 * * [simplify]: iters left: 6 (8 enodes)
35.812 * * [simplify]: iters left: 5 (30 enodes)
35.817 * * [simplify]: iters left: 4 (40 enodes)
35.823 * * [simplify]: iters left: 3 (42 enodes)
35.829 * * [simplify]: Extracting #0: cost 1 inf + 0
35.829 * * [simplify]: Extracting #1: cost 8 inf + 0
35.829 * * [simplify]: Extracting #2: cost 11 inf + 203
35.829 * * [simplify]: Extracting #3: cost 13 inf + 405
35.829 * * [simplify]: Extracting #4: cost 12 inf + 407
35.829 * * [simplify]: Extracting #5: cost 3 inf + 1549
35.830 * * [simplify]: Extracting #6: cost 0 inf + 1875
35.830 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
35.830 * [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))))
35.830 * * * * [progress]: [ 121 / 226 ] 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))))>
35.830 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
35.830 * * [simplify]: iters left: 6 (8 enodes)
35.833 * * [simplify]: iters left: 5 (30 enodes)
35.838 * * [simplify]: iters left: 4 (40 enodes)
35.844 * * [simplify]: iters left: 3 (42 enodes)
35.850 * * [simplify]: Extracting #0: cost 1 inf + 0
35.850 * * [simplify]: Extracting #1: cost 8 inf + 0
35.850 * * [simplify]: Extracting #2: cost 11 inf + 123
35.850 * * [simplify]: Extracting #3: cost 13 inf + 245
35.850 * * [simplify]: Extracting #4: cost 12 inf + 247
35.851 * * [simplify]: Extracting #5: cost 3 inf + 1269
35.851 * * [simplify]: Extracting #6: cost 0 inf + 1555
35.851 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
35.851 * [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))))
35.851 * * * * [progress]: [ 122 / 226 ] 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))))>
35.851 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
35.852 * * [simplify]: iters left: 6 (7 enodes)
35.854 * * [simplify]: iters left: 5 (28 enodes)
35.859 * * [simplify]: iters left: 4 (35 enodes)
35.864 * * [simplify]: Extracting #0: cost 1 inf + 0
35.864 * * [simplify]: Extracting #1: cost 6 inf + 0
35.864 * * [simplify]: Extracting #2: cost 7 inf + 2
35.864 * * [simplify]: Extracting #3: cost 11 inf + 2
35.864 * * [simplify]: Extracting #4: cost 9 inf + 45
35.864 * * [simplify]: Extracting #5: cost 4 inf + 375
35.864 * * [simplify]: Extracting #6: cost 0 inf + 826
35.865 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
35.865 * [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))))
35.865 * * * * [progress]: [ 123 / 226 ] 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))))>
35.865 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
35.865 * * [simplify]: iters left: 6 (7 enodes)
35.869 * * [simplify]: iters left: 5 (30 enodes)
35.875 * * [simplify]: iters left: 4 (49 enodes)
35.890 * * [simplify]: iters left: 3 (59 enodes)
35.907 * * [simplify]: iters left: 2 (64 enodes)
35.924 * * [simplify]: Extracting #0: cost 1 inf + 0
35.924 * * [simplify]: Extracting #1: cost 9 inf + 0
35.924 * * [simplify]: Extracting #2: cost 23 inf + 0
35.924 * * [simplify]: Extracting #3: cost 24 inf + 3
35.925 * * [simplify]: Extracting #4: cost 15 inf + 980
35.925 * * [simplify]: Extracting #5: cost 1 inf + 3007
35.926 * * [simplify]: Extracting #6: cost 0 inf + 3169
35.927 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
35.928 * [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))))
35.928 * * * * [progress]: [ 124 / 226 ] 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))))>
35.928 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
35.928 * * [simplify]: iters left: 6 (8 enodes)
35.933 * * [simplify]: iters left: 5 (33 enodes)
35.944 * * [simplify]: iters left: 4 (55 enodes)
35.962 * * [simplify]: iters left: 3 (72 enodes)
35.981 * * [simplify]: iters left: 2 (84 enodes)
35.993 * * [simplify]: iters left: 1 (88 enodes)
36.006 * * [simplify]: Extracting #0: cost 1 inf + 0
36.006 * * [simplify]: Extracting #1: cost 11 inf + 0
36.006 * * [simplify]: Extracting #2: cost 30 inf + 0
36.007 * * [simplify]: Extracting #3: cost 33 inf + 84
36.007 * * [simplify]: Extracting #4: cost 12 inf + 2402
36.008 * * [simplify]: Extracting #5: cost 0 inf + 4469
36.009 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
36.009 * [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))))
36.009 * * * * [progress]: [ 125 / 226 ] 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))))>
36.009 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
36.010 * * [simplify]: iters left: 6 (7 enodes)
36.012 * * [simplify]: iters left: 5 (30 enodes)
36.021 * * [simplify]: iters left: 4 (52 enodes)
36.037 * * [simplify]: iters left: 3 (70 enodes)
36.056 * * [simplify]: iters left: 2 (81 enodes)
36.077 * * [simplify]: iters left: 1 (84 enodes)
36.099 * * [simplify]: Extracting #0: cost 1 inf + 0
36.099 * * [simplify]: Extracting #1: cost 11 inf + 0
36.099 * * [simplify]: Extracting #2: cost 25 inf + 203
36.099 * * [simplify]: Extracting #3: cost 25 inf + 530
36.100 * * [simplify]: Extracting #4: cost 4 inf + 2936
36.101 * * [simplify]: Extracting #5: cost 0 inf + 3504
36.102 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
36.102 * [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))))
36.102 * * * * [progress]: [ 126 / 226 ] 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))))>
36.103 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
36.103 * * [simplify]: iters left: 6 (8 enodes)
36.108 * * [simplify]: iters left: 5 (33 enodes)
36.119 * * [simplify]: iters left: 4 (55 enodes)
36.139 * * [simplify]: iters left: 3 (72 enodes)
36.159 * * [simplify]: iters left: 2 (84 enodes)
36.183 * * [simplify]: iters left: 1 (88 enodes)
36.197 * * [simplify]: Extracting #0: cost 1 inf + 0
36.197 * * [simplify]: Extracting #1: cost 11 inf + 0
36.197 * * [simplify]: Extracting #2: cost 30 inf + 0
36.198 * * [simplify]: Extracting #3: cost 33 inf + 44
36.198 * * [simplify]: Extracting #4: cost 12 inf + 2362
36.199 * * [simplify]: Extracting #5: cost 0 inf + 4469
36.199 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
36.199 * [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))))
36.199 * * * * [progress]: [ 127 / 226 ] 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))))>
36.200 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
36.200 * * [simplify]: iters left: 6 (7 enodes)
36.202 * * [simplify]: iters left: 5 (30 enodes)
36.208 * * [simplify]: iters left: 4 (48 enodes)
36.215 * * [simplify]: iters left: 3 (56 enodes)
36.230 * * [simplify]: Extracting #0: cost 1 inf + 0
36.230 * * [simplify]: Extracting #1: cost 8 inf + 0
36.230 * * [simplify]: Extracting #2: cost 15 inf + 43
36.230 * * [simplify]: Extracting #3: cost 16 inf + 86
36.231 * * [simplify]: Extracting #4: cost 5 inf + 911
36.231 * * [simplify]: Extracting #5: cost 1 inf + 1198
36.232 * * [simplify]: Extracting #6: cost 0 inf + 1320
36.233 * [simplify]: Simplified to (/ (- 1 k) 2)
36.233 * [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))))
36.233 * * * * [progress]: [ 128 / 226 ] 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))))>
36.233 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
36.233 * * [simplify]: iters left: 6 (7 enodes)
36.238 * * [simplify]: iters left: 5 (30 enodes)
36.249 * * [simplify]: iters left: 4 (52 enodes)
36.259 * * [simplify]: iters left: 3 (70 enodes)
36.271 * * [simplify]: iters left: 2 (81 enodes)
36.281 * * [simplify]: iters left: 1 (84 enodes)
36.292 * * [simplify]: Extracting #0: cost 1 inf + 0
36.292 * * [simplify]: Extracting #1: cost 11 inf + 0
36.292 * * [simplify]: Extracting #2: cost 25 inf + 123
36.292 * * [simplify]: Extracting #3: cost 25 inf + 330
36.293 * * [simplify]: Extracting #4: cost 4 inf + 2256
36.294 * * [simplify]: Extracting #5: cost 0 inf + 2704
36.295 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
36.295 * [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))))
36.295 * * * * [progress]: [ 129 / 226 ] 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))))>
36.296 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
36.296 * * [simplify]: iters left: 6 (7 enodes)
36.300 * * [simplify]: iters left: 5 (31 enodes)
36.311 * * [simplify]: iters left: 4 (51 enodes)
36.326 * * [simplify]: iters left: 3 (64 enodes)
36.344 * * [simplify]: iters left: 2 (77 enodes)
36.365 * * [simplify]: iters left: 1 (84 enodes)
36.378 * * [simplify]: Extracting #0: cost 1 inf + 0
36.378 * * [simplify]: Extracting #1: cost 11 inf + 0
36.378 * * [simplify]: Extracting #2: cost 26 inf + 82
36.379 * * [simplify]: Extracting #3: cost 24 inf + 692
36.379 * * [simplify]: Extracting #4: cost 3 inf + 3057
36.380 * * [simplify]: Extracting #5: cost 0 inf + 3504
36.380 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
36.380 * [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))))
36.380 * * * * [progress]: [ 130 / 226 ] 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))))>
36.380 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
36.381 * * [simplify]: iters left: 6 (7 enodes)
36.383 * * [simplify]: iters left: 5 (31 enodes)
36.389 * * [simplify]: iters left: 4 (51 enodes)
36.397 * * [simplify]: iters left: 3 (64 enodes)
36.406 * * [simplify]: iters left: 2 (77 enodes)
36.416 * * [simplify]: iters left: 1 (84 enodes)
36.436 * * [simplify]: Extracting #0: cost 1 inf + 0
36.436 * * [simplify]: Extracting #1: cost 11 inf + 0
36.437 * * [simplify]: Extracting #2: cost 26 inf + 42
36.437 * * [simplify]: Extracting #3: cost 24 inf + 452
36.438 * * [simplify]: Extracting #4: cost 3 inf + 2337
36.439 * * [simplify]: Extracting #5: cost 0 inf + 2704
36.440 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
36.440 * [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))))
36.440 * * * * [progress]: [ 131 / 226 ] 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))))>
36.441 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
36.441 * * [simplify]: iters left: 6 (6 enodes)
36.445 * * [simplify]: iters left: 5 (29 enodes)
36.454 * * [simplify]: iters left: 4 (44 enodes)
36.461 * * [simplify]: iters left: 3 (50 enodes)
36.468 * * [simplify]: iters left: 2 (57 enodes)
36.479 * * [simplify]: Extracting #0: cost 1 inf + 0
36.479 * * [simplify]: Extracting #1: cost 9 inf + 0
36.479 * * [simplify]: Extracting #2: cost 15 inf + 3
36.479 * * [simplify]: Extracting #3: cost 11 inf + 131
36.479 * * [simplify]: Extracting #4: cost 2 inf + 711
36.480 * * [simplify]: Extracting #5: cost 0 inf + 836
36.480 * [simplify]: Simplified to (- 1/4 (/ k 4))
36.480 * [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))))
36.480 * * * * [progress]: [ 132 / 226 ] 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))))>
36.481 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
36.481 * * [simplify]: iters left: 6 (9 enodes)
36.486 * * [simplify]: iters left: 5 (36 enodes)
36.498 * * [simplify]: iters left: 4 (58 enodes)
36.514 * * [simplify]: iters left: 3 (71 enodes)
36.533 * * [simplify]: iters left: 2 (79 enodes)
36.552 * * [simplify]: iters left: 1 (80 enodes)
36.572 * * [simplify]: Extracting #0: cost 1 inf + 0
36.572 * * [simplify]: Extracting #1: cost 9 inf + 0
36.572 * * [simplify]: Extracting #2: cost 24 inf + 0
36.572 * * [simplify]: Extracting #3: cost 29 inf + 2
36.572 * * [simplify]: Extracting #4: cost 10 inf + 2233
36.574 * * [simplify]: Extracting #5: cost 1 inf + 4013
36.575 * * [simplify]: Extracting #6: cost 0 inf + 4135
36.576 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
36.576 * [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))))
36.577 * * * * [progress]: [ 133 / 226 ] 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))))>
36.577 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
36.577 * * [simplify]: iters left: 6 (10 enodes)
36.583 * * [simplify]: iters left: 5 (39 enodes)
36.597 * * [simplify]: iters left: 4 (64 enodes)
36.618 * * [simplify]: iters left: 3 (86 enodes)
36.640 * * [simplify]: iters left: 2 (99 enodes)
36.665 * * [simplify]: iters left: 1 (104 enodes)
36.690 * * [simplify]: Extracting #0: cost 1 inf + 0
36.690 * * [simplify]: Extracting #1: cost 11 inf + 0
36.691 * * [simplify]: Extracting #2: cost 31 inf + 0
36.691 * * [simplify]: Extracting #3: cost 39 inf + 2
36.691 * * [simplify]: Extracting #4: cost 22 inf + 1871
36.693 * * [simplify]: Extracting #5: cost 4 inf + 4865
36.695 * * [simplify]: Extracting #6: cost 0 inf + 5675
36.697 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
36.697 * [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))))
36.698 * * * * [progress]: [ 134 / 226 ] 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))))>
36.698 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
36.698 * * [simplify]: iters left: 6 (9 enodes)
36.704 * * [simplify]: iters left: 5 (36 enodes)
36.716 * * [simplify]: iters left: 4 (61 enodes)
36.733 * * [simplify]: iters left: 3 (84 enodes)
36.752 * * [simplify]: iters left: 2 (96 enodes)
36.766 * * [simplify]: iters left: 1 (100 enodes)
36.778 * * [simplify]: Extracting #0: cost 1 inf + 0
36.778 * * [simplify]: Extracting #1: cost 11 inf + 0
36.778 * * [simplify]: Extracting #2: cost 27 inf + 82
36.778 * * [simplify]: Extracting #3: cost 29 inf + 651
36.779 * * [simplify]: Extracting #4: cost 12 inf + 2763
36.779 * * [simplify]: Extracting #5: cost 1 inf + 4587
36.780 * * [simplify]: Extracting #6: cost 0 inf + 4710
36.781 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
36.781 * [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))))
36.781 * * * * [progress]: [ 135 / 226 ] 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))))>
36.781 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
36.781 * * [simplify]: iters left: 6 (10 enodes)
36.785 * * [simplify]: iters left: 5 (39 enodes)
36.791 * * [simplify]: iters left: 4 (64 enodes)
36.800 * * [simplify]: iters left: 3 (86 enodes)
36.820 * * [simplify]: iters left: 2 (99 enodes)
36.845 * * [simplify]: iters left: 1 (104 enodes)
36.874 * * [simplify]: Extracting #0: cost 1 inf + 0
36.874 * * [simplify]: Extracting #1: cost 11 inf + 0
36.874 * * [simplify]: Extracting #2: cost 31 inf + 0
36.874 * * [simplify]: Extracting #3: cost 39 inf + 2
36.875 * * [simplify]: Extracting #4: cost 22 inf + 1831
36.876 * * [simplify]: Extracting #5: cost 4 inf + 4785
36.878 * * [simplify]: Extracting #6: cost 0 inf + 5595
36.880 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
36.880 * [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))))
36.881 * * * * [progress]: [ 136 / 226 ] 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))))>
36.881 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
36.881 * * [simplify]: iters left: 6 (9 enodes)
36.887 * * [simplify]: iters left: 5 (36 enodes)
36.898 * * [simplify]: iters left: 4 (57 enodes)
36.907 * * [simplify]: iters left: 3 (73 enodes)
36.916 * * [simplify]: iters left: 2 (80 enodes)
36.927 * * [simplify]: iters left: 1 (81 enodes)
36.945 * * [simplify]: Extracting #0: cost 1 inf + 0
36.945 * * [simplify]: Extracting #1: cost 9 inf + 0
36.946 * * [simplify]: Extracting #2: cost 18 inf + 43
36.946 * * [simplify]: Extracting #3: cost 23 inf + 85
36.946 * * [simplify]: Extracting #4: cost 9 inf + 1271
36.947 * * [simplify]: Extracting #5: cost 0 inf + 2370
36.948 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
36.948 * [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))))
36.948 * * * * [progress]: [ 137 / 226 ] 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))))>
36.949 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
36.949 * * [simplify]: iters left: 6 (9 enodes)
36.954 * * [simplify]: iters left: 5 (36 enodes)
36.966 * * [simplify]: iters left: 4 (61 enodes)
36.985 * * [simplify]: iters left: 3 (84 enodes)
37.011 * * [simplify]: iters left: 2 (96 enodes)
37.035 * * [simplify]: iters left: 1 (100 enodes)
37.058 * * [simplify]: Extracting #0: cost 1 inf + 0
37.058 * * [simplify]: Extracting #1: cost 11 inf + 0
37.059 * * [simplify]: Extracting #2: cost 27 inf + 42
37.059 * * [simplify]: Extracting #3: cost 29 inf + 411
37.060 * * [simplify]: Extracting #4: cost 12 inf + 2163
37.061 * * [simplify]: Extracting #5: cost 1 inf + 3707
37.062 * * [simplify]: Extracting #6: cost 0 inf + 3830
37.064 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
37.064 * [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))))
37.064 * * * * [progress]: [ 138 / 226 ] 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))))>
37.065 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
37.065 * * [simplify]: iters left: 6 (9 enodes)
37.070 * * [simplify]: iters left: 5 (36 enodes)
37.078 * * [simplify]: iters left: 4 (62 enodes)
37.087 * * [simplify]: iters left: 3 (78 enodes)
37.097 * * [simplify]: iters left: 2 (90 enodes)
37.120 * * [simplify]: iters left: 1 (94 enodes)
37.141 * * [simplify]: Extracting #0: cost 1 inf + 0
37.141 * * [simplify]: Extracting #1: cost 11 inf + 0
37.141 * * [simplify]: Extracting #2: cost 27 inf + 1
37.141 * * [simplify]: Extracting #3: cost 29 inf + 409
37.141 * * [simplify]: Extracting #4: cost 12 inf + 2359
37.142 * * [simplify]: Extracting #5: cost 2 inf + 4022
37.143 * * [simplify]: Extracting #6: cost 0 inf + 4466
37.143 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
37.143 * [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))))
37.144 * * * * [progress]: [ 139 / 226 ] 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))))>
37.144 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
37.144 * * [simplify]: iters left: 6 (9 enodes)
37.147 * * [simplify]: iters left: 5 (36 enodes)
37.154 * * [simplify]: iters left: 4 (62 enodes)
37.163 * * [simplify]: iters left: 3 (78 enodes)
37.181 * * [simplify]: iters left: 2 (90 enodes)
37.193 * * [simplify]: iters left: 1 (94 enodes)
37.206 * * [simplify]: Extracting #0: cost 1 inf + 0
37.206 * * [simplify]: Extracting #1: cost 11 inf + 0
37.206 * * [simplify]: Extracting #2: cost 27 inf + 1
37.206 * * [simplify]: Extracting #3: cost 29 inf + 249
37.206 * * [simplify]: Extracting #4: cost 12 inf + 1879
37.207 * * [simplify]: Extracting #5: cost 2 inf + 3302
37.208 * * [simplify]: Extracting #6: cost 0 inf + 3666
37.208 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
37.208 * [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))))
37.209 * * * * [progress]: [ 140 / 226 ] 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))))>
37.209 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
37.209 * * [simplify]: iters left: 6 (8 enodes)
37.212 * * [simplify]: iters left: 5 (34 enodes)
37.227 * * [simplify]: iters left: 4 (58 enodes)
37.243 * * [simplify]: iters left: 3 (65 enodes)
37.258 * * [simplify]: Extracting #0: cost 1 inf + 0
37.258 * * [simplify]: Extracting #1: cost 8 inf + 0
37.258 * * [simplify]: Extracting #2: cost 14 inf + 3
37.258 * * [simplify]: Extracting #3: cost 17 inf + 5
37.259 * * [simplify]: Extracting #4: cost 12 inf + 292
37.259 * * [simplify]: Extracting #5: cost 1 inf + 1355
37.260 * * [simplify]: Extracting #6: cost 0 inf + 1478
37.260 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
37.260 * [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))))
37.261 * * * * [progress]: [ 141 / 226 ] 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))))>
37.261 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
37.261 * * [simplify]: iters left: 6 (8 enodes)
37.266 * * [simplify]: iters left: 5 (33 enodes)
37.277 * * [simplify]: iters left: 4 (52 enodes)
37.292 * * [simplify]: iters left: 3 (62 enodes)
37.310 * * [simplify]: iters left: 2 (67 enodes)
37.322 * * [simplify]: Extracting #0: cost 1 inf + 0
37.322 * * [simplify]: Extracting #1: cost 9 inf + 0
37.322 * * [simplify]: Extracting #2: cost 23 inf + 0
37.322 * * [simplify]: Extracting #3: cost 24 inf + 285
37.322 * * [simplify]: Extracting #4: cost 18 inf + 975
37.322 * * [simplify]: Extracting #5: cost 7 inf + 2516
37.323 * * [simplify]: Extracting #6: cost 0 inf + 3891
37.324 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
37.324 * [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))))
37.324 * * * * [progress]: [ 142 / 226 ] 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))))>
37.324 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
37.324 * * [simplify]: iters left: 6 (9 enodes)
37.327 * * [simplify]: iters left: 5 (36 enodes)
37.333 * * [simplify]: iters left: 4 (58 enodes)
37.344 * * [simplify]: iters left: 3 (75 enodes)
37.360 * * [simplify]: iters left: 2 (87 enodes)
37.383 * * [simplify]: iters left: 1 (91 enodes)
37.405 * * [simplify]: Extracting #0: cost 1 inf + 0
37.405 * * [simplify]: Extracting #1: cost 11 inf + 0
37.405 * * [simplify]: Extracting #2: cost 30 inf + 0
37.406 * * [simplify]: Extracting #3: cost 36 inf + 83
37.406 * * [simplify]: Extracting #4: cost 30 inf + 451
37.406 * * [simplify]: Extracting #5: cost 10 inf + 3649
37.407 * * [simplify]: Extracting #6: cost 0 inf + 5431
37.408 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
37.408 * [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))))
37.408 * * * * [progress]: [ 143 / 226 ] 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))))>
37.408 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
37.408 * * [simplify]: iters left: 6 (8 enodes)
37.411 * * [simplify]: iters left: 5 (33 enodes)
37.416 * * [simplify]: iters left: 4 (55 enodes)
37.425 * * [simplify]: iters left: 3 (73 enodes)
37.436 * * [simplify]: iters left: 2 (84 enodes)
37.453 * * [simplify]: iters left: 1 (87 enodes)
37.465 * * [simplify]: Extracting #0: cost 1 inf + 0
37.465 * * [simplify]: Extracting #1: cost 11 inf + 0
37.465 * * [simplify]: Extracting #2: cost 25 inf + 203
37.465 * * [simplify]: Extracting #3: cost 29 inf + 407
37.465 * * [simplify]: Extracting #4: cost 24 inf + 896
37.466 * * [simplify]: Extracting #5: cost 9 inf + 2805
37.466 * * [simplify]: Extracting #6: cost 0 inf + 4466
37.467 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
37.467 * [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))))
37.467 * * * * [progress]: [ 144 / 226 ] 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))))>
37.467 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
37.467 * * [simplify]: iters left: 6 (9 enodes)
37.470 * * [simplify]: iters left: 5 (36 enodes)
37.477 * * [simplify]: iters left: 4 (58 enodes)
37.493 * * [simplify]: iters left: 3 (75 enodes)
37.504 * * [simplify]: iters left: 2 (87 enodes)
37.515 * * [simplify]: iters left: 1 (91 enodes)
37.534 * * [simplify]: Extracting #0: cost 1 inf + 0
37.534 * * [simplify]: Extracting #1: cost 11 inf + 0
37.534 * * [simplify]: Extracting #2: cost 30 inf + 0
37.534 * * [simplify]: Extracting #3: cost 36 inf + 43
37.535 * * [simplify]: Extracting #4: cost 30 inf + 451
37.536 * * [simplify]: Extracting #5: cost 10 inf + 3769
37.537 * * [simplify]: Extracting #6: cost 0 inf + 5431
37.540 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
37.540 * [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))))
37.540 * * * * [progress]: [ 145 / 226 ] 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))))>
37.540 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
37.540 * * [simplify]: iters left: 6 (8 enodes)
37.545 * * [simplify]: iters left: 5 (33 enodes)
37.559 * * [simplify]: iters left: 4 (51 enodes)
37.574 * * [simplify]: iters left: 3 (59 enodes)
37.589 * * [simplify]: Extracting #0: cost 1 inf + 0
37.589 * * [simplify]: Extracting #1: cost 8 inf + 0
37.589 * * [simplify]: Extracting #2: cost 15 inf + 43
37.590 * * [simplify]: Extracting #3: cost 19 inf + 85
37.590 * * [simplify]: Extracting #4: cost 16 inf + 250
37.591 * * [simplify]: Extracting #5: cost 5 inf + 1311
37.591 * * [simplify]: Extracting #6: cost 0 inf + 1962
37.592 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
37.592 * [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))))
37.592 * * * * [progress]: [ 146 / 226 ] 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))))>
37.593 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
37.593 * * [simplify]: iters left: 6 (8 enodes)
37.598 * * [simplify]: iters left: 5 (33 enodes)
37.609 * * [simplify]: iters left: 4 (55 enodes)
37.627 * * [simplify]: iters left: 3 (73 enodes)
37.647 * * [simplify]: iters left: 2 (84 enodes)
37.668 * * [simplify]: iters left: 1 (87 enodes)
37.690 * * [simplify]: Extracting #0: cost 1 inf + 0
37.691 * * [simplify]: Extracting #1: cost 11 inf + 0
37.691 * * [simplify]: Extracting #2: cost 25 inf + 123
37.691 * * [simplify]: Extracting #3: cost 29 inf + 247
37.692 * * [simplify]: Extracting #4: cost 24 inf + 576
37.692 * * [simplify]: Extracting #5: cost 9 inf + 2245
37.694 * * [simplify]: Extracting #6: cost 0 inf + 3666
37.695 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
37.695 * [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))))
37.695 * * * * [progress]: [ 147 / 226 ] 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))))>
37.696 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
37.696 * * [simplify]: iters left: 6 (8 enodes)
37.701 * * [simplify]: iters left: 5 (34 enodes)
37.714 * * [simplify]: iters left: 4 (54 enodes)
37.730 * * [simplify]: iters left: 3 (67 enodes)
37.746 * * [simplify]: iters left: 2 (80 enodes)
37.756 * * [simplify]: iters left: 1 (87 enodes)
37.767 * * [simplify]: Extracting #0: cost 1 inf + 0
37.767 * * [simplify]: Extracting #1: cost 11 inf + 0
37.767 * * [simplify]: Extracting #2: cost 25 inf + 203
37.767 * * [simplify]: Extracting #3: cost 26 inf + 773
37.767 * * [simplify]: Extracting #4: cost 24 inf + 896
37.768 * * [simplify]: Extracting #5: cost 8 inf + 3127
37.769 * * [simplify]: Extracting #6: cost 0 inf + 4466
37.769 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
37.769 * [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))))
37.770 * * * * [progress]: [ 148 / 226 ] 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))))>
37.770 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
37.770 * * [simplify]: iters left: 6 (8 enodes)
37.773 * * [simplify]: iters left: 5 (34 enodes)
37.784 * * [simplify]: iters left: 4 (54 enodes)
37.792 * * [simplify]: iters left: 3 (67 enodes)
37.801 * * [simplify]: iters left: 2 (80 enodes)
37.814 * * [simplify]: iters left: 1 (87 enodes)
37.825 * * [simplify]: Extracting #0: cost 1 inf + 0
37.825 * * [simplify]: Extracting #1: cost 11 inf + 0
37.825 * * [simplify]: Extracting #2: cost 25 inf + 123
37.825 * * [simplify]: Extracting #3: cost 26 inf + 493
37.826 * * [simplify]: Extracting #4: cost 24 inf + 576
37.826 * * [simplify]: Extracting #5: cost 8 inf + 2527
37.827 * * [simplify]: Extracting #6: cost 0 inf + 3666
37.827 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
37.827 * [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))))
37.827 * * * * [progress]: [ 149 / 226 ] 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))))>
37.828 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
37.828 * * [simplify]: iters left: 6 (7 enodes)
37.830 * * [simplify]: iters left: 5 (32 enodes)
37.836 * * [simplify]: iters left: 4 (50 enodes)
37.843 * * [simplify]: iters left: 3 (54 enodes)
37.850 * * [simplify]: Extracting #0: cost 1 inf + 0
37.850 * * [simplify]: Extracting #1: cost 8 inf + 0
37.850 * * [simplify]: Extracting #2: cost 13 inf + 3
37.850 * * [simplify]: Extracting #3: cost 15 inf + 5
37.850 * * [simplify]: Extracting #4: cost 14 inf + 6
37.850 * * [simplify]: Extracting #5: cost 4 inf + 825
37.851 * * [simplify]: Extracting #6: cost 0 inf + 1234
37.851 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
37.851 * [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))))
37.851 * * * * [progress]: [ 150 / 226 ] 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))))>
37.851 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
37.851 * * [simplify]: iters left: 6 (7 enodes)
37.854 * * [simplify]: iters left: 5 (30 enodes)
37.859 * * [simplify]: iters left: 4 (49 enodes)
37.866 * * [simplify]: iters left: 3 (59 enodes)
37.881 * * [simplify]: iters left: 2 (64 enodes)
37.903 * * [simplify]: Extracting #0: cost 1 inf + 0
37.903 * * [simplify]: Extracting #1: cost 9 inf + 0
37.903 * * [simplify]: Extracting #2: cost 23 inf + 0
37.903 * * [simplify]: Extracting #3: cost 24 inf + 3
37.904 * * [simplify]: Extracting #4: cost 15 inf + 980
37.904 * * [simplify]: Extracting #5: cost 1 inf + 3007
37.905 * * [simplify]: Extracting #6: cost 0 inf + 3169
37.905 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
37.905 * [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))))
37.906 * * * * [progress]: [ 151 / 226 ] 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))))>
37.906 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
37.906 * * [simplify]: iters left: 6 (8 enodes)
37.909 * * [simplify]: iters left: 5 (33 enodes)
37.915 * * [simplify]: iters left: 4 (55 enodes)
37.924 * * [simplify]: iters left: 3 (72 enodes)
37.935 * * [simplify]: iters left: 2 (84 enodes)
37.957 * * [simplify]: iters left: 1 (88 enodes)
37.968 * * [simplify]: Extracting #0: cost 1 inf + 0
37.968 * * [simplify]: Extracting #1: cost 11 inf + 0
37.968 * * [simplify]: Extracting #2: cost 30 inf + 0
37.968 * * [simplify]: Extracting #3: cost 33 inf + 84
37.969 * * [simplify]: Extracting #4: cost 12 inf + 2402
37.969 * * [simplify]: Extracting #5: cost 0 inf + 4469
37.970 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
37.970 * [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))))
37.970 * * * * [progress]: [ 152 / 226 ] 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))))>
37.970 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
37.971 * * [simplify]: iters left: 6 (7 enodes)
37.973 * * [simplify]: iters left: 5 (30 enodes)
37.978 * * [simplify]: iters left: 4 (52 enodes)
37.987 * * [simplify]: iters left: 3 (70 enodes)
38.002 * * [simplify]: iters left: 2 (81 enodes)
38.013 * * [simplify]: iters left: 1 (84 enodes)
38.024 * * [simplify]: Extracting #0: cost 1 inf + 0
38.025 * * [simplify]: Extracting #1: cost 11 inf + 0
38.025 * * [simplify]: Extracting #2: cost 25 inf + 203
38.025 * * [simplify]: Extracting #3: cost 25 inf + 530
38.026 * * [simplify]: Extracting #4: cost 4 inf + 2936
38.027 * * [simplify]: Extracting #5: cost 0 inf + 3504
38.028 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
38.028 * [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))))
38.029 * * * * [progress]: [ 153 / 226 ] 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))))>
38.029 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
38.029 * * [simplify]: iters left: 6 (8 enodes)
38.034 * * [simplify]: iters left: 5 (33 enodes)
38.046 * * [simplify]: iters left: 4 (55 enodes)
38.063 * * [simplify]: iters left: 3 (72 enodes)
38.084 * * [simplify]: iters left: 2 (84 enodes)
38.102 * * [simplify]: iters left: 1 (88 enodes)
38.115 * * [simplify]: Extracting #0: cost 1 inf + 0
38.115 * * [simplify]: Extracting #1: cost 11 inf + 0
38.115 * * [simplify]: Extracting #2: cost 30 inf + 0
38.115 * * [simplify]: Extracting #3: cost 33 inf + 44
38.116 * * [simplify]: Extracting #4: cost 12 inf + 2362
38.117 * * [simplify]: Extracting #5: cost 0 inf + 4469
38.117 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
38.117 * [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))))
38.117 * * * * [progress]: [ 154 / 226 ] 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))))>
38.118 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
38.118 * * [simplify]: iters left: 6 (7 enodes)
38.120 * * [simplify]: iters left: 5 (30 enodes)
38.125 * * [simplify]: iters left: 4 (48 enodes)
38.132 * * [simplify]: iters left: 3 (56 enodes)
38.146 * * [simplify]: Extracting #0: cost 1 inf + 0
38.147 * * [simplify]: Extracting #1: cost 8 inf + 0
38.147 * * [simplify]: Extracting #2: cost 15 inf + 43
38.147 * * [simplify]: Extracting #3: cost 16 inf + 86
38.147 * * [simplify]: Extracting #4: cost 5 inf + 911
38.148 * * [simplify]: Extracting #5: cost 1 inf + 1198
38.148 * * [simplify]: Extracting #6: cost 0 inf + 1320
38.149 * [simplify]: Simplified to (/ (- 1 k) 2)
38.149 * [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))))
38.149 * * * * [progress]: [ 155 / 226 ] 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))))>
38.149 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
38.150 * * [simplify]: iters left: 6 (7 enodes)
38.154 * * [simplify]: iters left: 5 (30 enodes)
38.164 * * [simplify]: iters left: 4 (52 enodes)
38.181 * * [simplify]: iters left: 3 (70 enodes)
38.200 * * [simplify]: iters left: 2 (81 enodes)
38.222 * * [simplify]: iters left: 1 (84 enodes)
38.243 * * [simplify]: Extracting #0: cost 1 inf + 0
38.243 * * [simplify]: Extracting #1: cost 11 inf + 0
38.243 * * [simplify]: Extracting #2: cost 25 inf + 123
38.243 * * [simplify]: Extracting #3: cost 25 inf + 330
38.244 * * [simplify]: Extracting #4: cost 4 inf + 2256
38.244 * * [simplify]: Extracting #5: cost 0 inf + 2704
38.245 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
38.245 * [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))))
38.245 * * * * [progress]: [ 156 / 226 ] 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))))>
38.245 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
38.245 * * [simplify]: iters left: 6 (7 enodes)
38.248 * * [simplify]: iters left: 5 (31 enodes)
38.254 * * [simplify]: iters left: 4 (51 enodes)
38.263 * * [simplify]: iters left: 3 (64 enodes)
38.282 * * [simplify]: iters left: 2 (77 enodes)
38.303 * * [simplify]: iters left: 1 (84 enodes)
38.325 * * [simplify]: Extracting #0: cost 1 inf + 0
38.325 * * [simplify]: Extracting #1: cost 11 inf + 0
38.325 * * [simplify]: Extracting #2: cost 26 inf + 82
38.326 * * [simplify]: Extracting #3: cost 24 inf + 692
38.326 * * [simplify]: Extracting #4: cost 3 inf + 3057
38.327 * * [simplify]: Extracting #5: cost 0 inf + 3504
38.329 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
38.329 * [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))))
38.329 * * * * [progress]: [ 157 / 226 ] 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))))>
38.329 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
38.329 * * [simplify]: iters left: 6 (7 enodes)
38.332 * * [simplify]: iters left: 5 (31 enodes)
38.337 * * [simplify]: iters left: 4 (51 enodes)
38.345 * * [simplify]: iters left: 3 (64 enodes)
38.357 * * [simplify]: iters left: 2 (77 enodes)
38.374 * * [simplify]: iters left: 1 (84 enodes)
38.394 * * [simplify]: Extracting #0: cost 1 inf + 0
38.394 * * [simplify]: Extracting #1: cost 11 inf + 0
38.394 * * [simplify]: Extracting #2: cost 26 inf + 42
38.394 * * [simplify]: Extracting #3: cost 24 inf + 452
38.395 * * [simplify]: Extracting #4: cost 3 inf + 2337
38.395 * * [simplify]: Extracting #5: cost 0 inf + 2704
38.396 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
38.396 * [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))))
38.396 * * * * [progress]: [ 158 / 226 ] 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))))>
38.396 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
38.396 * * [simplify]: iters left: 6 (6 enodes)
38.399 * * [simplify]: iters left: 5 (29 enodes)
38.404 * * [simplify]: iters left: 4 (44 enodes)
38.411 * * [simplify]: iters left: 3 (50 enodes)
38.419 * * [simplify]: iters left: 2 (57 enodes)
38.434 * * [simplify]: Extracting #0: cost 1 inf + 0
38.435 * * [simplify]: Extracting #1: cost 9 inf + 0
38.435 * * [simplify]: Extracting #2: cost 15 inf + 3
38.435 * * [simplify]: Extracting #3: cost 11 inf + 131
38.435 * * [simplify]: Extracting #4: cost 2 inf + 711
38.436 * * [simplify]: Extracting #5: cost 0 inf + 836
38.436 * [simplify]: Simplified to (- 1/4 (/ k 4))
38.436 * [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))))
38.436 * * * * [progress]: [ 159 / 226 ] 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))))>
38.437 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
38.437 * * [simplify]: iters left: 6 (7 enodes)
38.442 * * [simplify]: iters left: 5 (31 enodes)
38.453 * * [simplify]: iters left: 4 (51 enodes)
38.467 * * [simplify]: iters left: 3 (64 enodes)
38.478 * * [simplify]: iters left: 2 (77 enodes)
38.488 * * [simplify]: iters left: 1 (84 enodes)
38.504 * * [simplify]: Extracting #0: cost 1 inf + 0
38.504 * * [simplify]: Extracting #1: cost 11 inf + 0
38.505 * * [simplify]: Extracting #2: cost 26 inf + 82
38.505 * * [simplify]: Extracting #3: cost 24 inf + 692
38.506 * * [simplify]: Extracting #4: cost 3 inf + 3057
38.507 * * [simplify]: Extracting #5: cost 0 inf + 3504
38.508 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
38.508 * [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))))
38.509 * * * * [progress]: [ 160 / 226 ] 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))))>
38.509 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
38.509 * * [simplify]: iters left: 6 (7 enodes)
38.514 * * [simplify]: iters left: 5 (31 enodes)
38.523 * * [simplify]: iters left: 4 (51 enodes)
38.530 * * [simplify]: iters left: 3 (64 enodes)
38.539 * * [simplify]: iters left: 2 (77 enodes)
38.550 * * [simplify]: iters left: 1 (84 enodes)
38.564 * * [simplify]: Extracting #0: cost 1 inf + 0
38.564 * * [simplify]: Extracting #1: cost 11 inf + 0
38.564 * * [simplify]: Extracting #2: cost 26 inf + 42
38.564 * * [simplify]: Extracting #3: cost 24 inf + 452
38.568 * * [simplify]: Extracting #4: cost 3 inf + 2337
38.569 * * [simplify]: Extracting #5: cost 0 inf + 2704
38.570 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
38.570 * [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))))
38.570 * * * * [progress]: [ 161 / 226 ] 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))))>
38.571 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
38.571 * * [simplify]: iters left: 6 (6 enodes)
38.575 * * [simplify]: iters left: 5 (29 enodes)
38.585 * * [simplify]: iters left: 4 (44 enodes)
38.597 * * [simplify]: iters left: 3 (50 enodes)
38.610 * * [simplify]: iters left: 2 (57 enodes)
38.618 * * [simplify]: Extracting #0: cost 1 inf + 0
38.618 * * [simplify]: Extracting #1: cost 9 inf + 0
38.618 * * [simplify]: Extracting #2: cost 15 inf + 3
38.618 * * [simplify]: Extracting #3: cost 11 inf + 131
38.618 * * [simplify]: Extracting #4: cost 2 inf + 711
38.618 * * [simplify]: Extracting #5: cost 0 inf + 836
38.619 * [simplify]: Simplified to (- 1/4 (/ k 4))
38.619 * [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))))
38.619 * * * * [progress]: [ 162 / 226 ] 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))))>
38.619 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
38.619 * * [simplify]: iters left: 4 (5 enodes)
38.621 * * [simplify]: iters left: 3 (20 enodes)
38.625 * * [simplify]: iters left: 2 (27 enodes)
38.630 * * [simplify]: iters left: 1 (29 enodes)
38.634 * * [simplify]: Extracting #0: cost 1 inf + 0
38.634 * * [simplify]: Extracting #1: cost 8 inf + 0
38.634 * * [simplify]: Extracting #2: cost 4 inf + 449
38.634 * * [simplify]: Extracting #3: cost 0 inf + 895
38.634 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
38.634 * [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))))
38.635 * * * * [progress]: [ 163 / 226 ] 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))))>
38.635 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
38.635 * * [simplify]: iters left: 4 (5 enodes)
38.637 * * [simplify]: iters left: 3 (20 enodes)
38.641 * * [simplify]: iters left: 2 (27 enodes)
38.645 * * [simplify]: iters left: 1 (29 enodes)
38.654 * * [simplify]: Extracting #0: cost 1 inf + 0
38.654 * * [simplify]: Extracting #1: cost 8 inf + 0
38.655 * * [simplify]: Extracting #2: cost 4 inf + 289
38.655 * * [simplify]: Extracting #3: cost 0 inf + 575
38.655 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
38.655 * [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))))
38.655 * * * * [progress]: [ 164 / 226 ] 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))))>
38.656 * [simplify]: Simplifying (/ (/ 1 2) 2)
38.656 * * [simplify]: iters left: 4 (4 enodes)
38.660 * * [simplify]: iters left: 3 (19 enodes)
38.666 * * [simplify]: iters left: 2 (23 enodes)
38.673 * * [simplify]: Extracting #0: cost 1 inf + 0
38.673 * * [simplify]: Extracting #1: cost 0 inf + 1
38.673 * [simplify]: Simplified to 1/4
38.673 * [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))))
38.673 * * * * [progress]: [ 165 / 226 ] 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))))>
38.673 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
38.673 * * [simplify]: iters left: 6 (6 enodes)
38.678 * * [simplify]: iters left: 5 (29 enodes)
38.686 * * [simplify]: iters left: 4 (44 enodes)
38.692 * * [simplify]: iters left: 3 (50 enodes)
38.700 * * [simplify]: iters left: 2 (57 enodes)
38.709 * * [simplify]: Extracting #0: cost 1 inf + 0
38.710 * * [simplify]: Extracting #1: cost 9 inf + 0
38.710 * * [simplify]: Extracting #2: cost 15 inf + 3
38.710 * * [simplify]: Extracting #3: cost 11 inf + 131
38.710 * * [simplify]: Extracting #4: cost 2 inf + 711
38.711 * * [simplify]: Extracting #5: cost 0 inf + 836
38.711 * [simplify]: Simplified to (- 1/4 (/ k 4))
38.711 * [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))))
38.711 * * * * [progress]: [ 166 / 226 ] 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))))>
38.712 * [simplify]: Simplifying (/ 1 2)
38.712 * * [simplify]: iters left: 2 (3 enodes)
38.715 * * [simplify]: iters left: 1 (12 enodes)
38.719 * * [simplify]: Extracting #0: cost 1 inf + 0
38.719 * * [simplify]: Extracting #1: cost 0 inf + 1
38.719 * [simplify]: Simplified to 1/2
38.719 * [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))))
38.720 * * * * [progress]: [ 167 / 226 ] 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))))>
38.720 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
38.720 * * [simplify]: iters left: 6 (8 enodes)
38.725 * * [simplify]: iters left: 5 (38 enodes)
38.736 * * [simplify]: iters left: 4 (66 enodes)
38.748 * * [simplify]: iters left: 3 (110 enodes)
38.768 * * [simplify]: iters left: 2 (200 enodes)
38.842 * * [simplify]: iters left: 1 (403 enodes)
39.000 * * [simplify]: Extracting #0: cost 1 inf + 0
39.000 * * [simplify]: Extracting #1: cost 26 inf + 0
39.000 * * [simplify]: Extracting #2: cost 100 inf + 2
39.001 * * [simplify]: Extracting #3: cost 164 inf + 10
39.002 * * [simplify]: Extracting #4: cost 157 inf + 1472
39.005 * * [simplify]: Extracting #5: cost 64 inf + 19273
39.013 * * [simplify]: Extracting #6: cost 8 inf + 47461
39.021 * * [simplify]: Extracting #7: cost 0 inf + 52807
39.029 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
39.029 * [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))))
39.029 * * * * [progress]: [ 168 / 226 ] 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))))>
39.030 * * * * [progress]: [ 169 / 226 ] 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))))>
39.030 * * * * [progress]: [ 170 / 226 ] 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))))>
39.030 * * * * [progress]: [ 171 / 226 ] 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))))>
39.030 * * * * [progress]: [ 172 / 226 ] 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))))>
39.030 * * * * [progress]: [ 173 / 226 ] 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))))>
39.030 * * * * [progress]: [ 174 / 226 ] 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))))>
39.030 * * * * [progress]: [ 175 / 226 ] 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))))>
39.030 * * * * [progress]: [ 176 / 226 ] 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))))>
39.030 * * * * [progress]: [ 177 / 226 ] 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))))>
39.030 * [simplify]: Simplifying (* n (* 2 PI))
39.030 * * [simplify]: iters left: 4 (5 enodes)
39.032 * * [simplify]: iters left: 3 (19 enodes)
39.035 * * [simplify]: iters left: 2 (27 enodes)
39.039 * * [simplify]: iters left: 1 (32 enodes)
39.042 * * [simplify]: Extracting #0: cost 1 inf + 0
39.043 * * [simplify]: Extracting #1: cost 8 inf + 0
39.043 * * [simplify]: Extracting #2: cost 7 inf + 45
39.043 * * [simplify]: Extracting #3: cost 0 inf + 421
39.043 * [simplify]: Simplified to (* (* PI 2) n)
39.043 * [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))))
39.043 * * * * [progress]: [ 178 / 226 ] 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))))>
39.043 * [simplify]: Simplifying (* n (* 2 PI))
39.043 * * [simplify]: iters left: 4 (5 enodes)
39.045 * * [simplify]: iters left: 3 (19 enodes)
39.047 * * [simplify]: iters left: 2 (27 enodes)
39.051 * * [simplify]: iters left: 1 (32 enodes)
39.057 * * [simplify]: Extracting #0: cost 1 inf + 0
39.058 * * [simplify]: Extracting #1: cost 8 inf + 0
39.058 * * [simplify]: Extracting #2: cost 7 inf + 45
39.058 * * [simplify]: Extracting #3: cost 0 inf + 421
39.058 * [simplify]: Simplified to (* (* PI 2) n)
39.058 * [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))))
39.058 * * * * [progress]: [ 179 / 226 ] 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))))>
39.058 * * * * [progress]: [ 180 / 226 ] 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))))>
39.058 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
39.058 * * [simplify]: iters left: 5 (8 enodes)
39.060 * * [simplify]: iters left: 4 (28 enodes)
39.064 * * [simplify]: iters left: 3 (36 enodes)
39.070 * * [simplify]: iters left: 2 (42 enodes)
39.075 * * [simplify]: Extracting #0: cost 1 inf + 0
39.075 * * [simplify]: Extracting #1: cost 8 inf + 0
39.075 * * [simplify]: Extracting #2: cost 17 inf + 0
39.075 * * [simplify]: Extracting #3: cost 12 inf + 145
39.075 * * [simplify]: Extracting #4: cost 5 inf + 1197
39.075 * * [simplify]: Extracting #5: cost 1 inf + 1925
39.076 * * [simplify]: Extracting #6: cost 0 inf + 2107
39.076 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
39.076 * [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))))
39.076 * * * * [progress]: [ 181 / 226 ] 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))))>
39.076 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
39.076 * * [simplify]: iters left: 5 (7 enodes)
39.078 * * [simplify]: iters left: 4 (26 enodes)
39.085 * * [simplify]: iters left: 3 (35 enodes)
39.094 * * [simplify]: iters left: 2 (44 enodes)
39.106 * * [simplify]: Extracting #0: cost 1 inf + 0
39.106 * * [simplify]: Extracting #1: cost 8 inf + 0
39.106 * * [simplify]: Extracting #2: cost 18 inf + 0
39.106 * * [simplify]: Extracting #3: cost 15 inf + 74
39.106 * * [simplify]: Extracting #4: cost 8 inf + 554
39.107 * * [simplify]: Extracting #5: cost 0 inf + 1911
39.107 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
39.107 * [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))))
39.108 * * * * [progress]: [ 182 / 226 ] 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))))>
39.108 * * * * [progress]: [ 183 / 226 ] 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))))>
39.108 * * * * [progress]: [ 184 / 226 ] 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))))>
39.108 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
39.108 * * [simplify]: iters left: 6 (11 enodes)
39.116 * * [simplify]: iters left: 5 (48 enodes)
39.129 * * [simplify]: iters left: 4 (121 enodes)
39.164 * * [simplify]: iters left: 3 (348 enodes)
39.356 * * [simplify]: Extracting #0: cost 1 inf + 0
39.356 * * [simplify]: Extracting #1: cost 67 inf + 0
39.356 * * [simplify]: Extracting #2: cost 165 inf + 786
39.359 * * [simplify]: Extracting #3: cost 85 inf + 10177
39.366 * * [simplify]: Extracting #4: cost 9 inf + 26399
39.383 * * [simplify]: Extracting #5: cost 0 inf + 28546
39.394 * * [simplify]: Extracting #6: cost 0 inf + 28506
39.400 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
39.400 * [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))))
39.400 * * * * [progress]: [ 185 / 226 ] 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))))>
39.400 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
39.400 * * [simplify]: iters left: 6 (9 enodes)
39.403 * * [simplify]: iters left: 5 (45 enodes)
39.412 * * [simplify]: iters left: 4 (117 enodes)
39.460 * * [simplify]: iters left: 3 (374 enodes)
39.765 * * [simplify]: Extracting #0: cost 1 inf + 0
39.765 * * [simplify]: Extracting #1: cost 77 inf + 0
39.767 * * [simplify]: Extracting #2: cost 184 inf + 984
39.774 * * [simplify]: Extracting #3: cost 106 inf + 11690
39.796 * * [simplify]: Extracting #4: cost 6 inf + 30376
39.815 * * [simplify]: Extracting #5: cost 0 inf + 31644
39.833 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
39.833 * [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))))
39.834 * * * * [progress]: [ 186 / 226 ] 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))))>
39.834 * * * * [progress]: [ 187 / 226 ] 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))))>
39.834 * * * * [progress]: [ 188 / 226 ] 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))))>
39.834 * * * * [progress]: [ 189 / 226 ] 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))))>
39.834 * * * * [progress]: [ 190 / 226 ] 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))))>
39.834 * * * * [progress]: [ 191 / 226 ] 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))))>
39.834 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
39.834 * * [simplify]: iters left: 3 (3 enodes)
39.836 * * [simplify]: iters left: 2 (9 enodes)
39.838 * * [simplify]: Extracting #0: cost 1 inf + 0
39.838 * * [simplify]: Extracting #1: cost 3 inf + 0
39.838 * * [simplify]: Extracting #2: cost 5 inf + 0
39.838 * * [simplify]: Extracting #3: cost 4 inf + 1
39.839 * * [simplify]: Extracting #4: cost 0 inf + 405
39.839 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
39.839 * [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))))
39.839 * * * * [progress]: [ 192 / 226 ] 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))))>
39.839 * [simplify]: Simplifying (sqrt n)
39.839 * * [simplify]: iters left: 1 (2 enodes)
39.840 * * [simplify]: Extracting #0: cost 1 inf + 0
39.840 * * [simplify]: Extracting #1: cost 3 inf + 0
39.840 * * [simplify]: Extracting #2: cost 2 inf + 1
39.840 * * [simplify]: Extracting #3: cost 0 inf + 83
39.840 * [simplify]: Simplified to (sqrt n)
39.840 * [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))))
39.841 * * * * [progress]: [ 193 / 226 ] 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))))>
39.841 * * * * [progress]: [ 194 / 226 ] 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))))>
39.841 * * * * [progress]: [ 195 / 226 ] 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))))>
39.841 * * * * [progress]: [ 196 / 226 ] 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))))>
39.841 * [simplify]: Simplifying (* n (* 2 PI))
39.841 * * [simplify]: iters left: 4 (5 enodes)
39.844 * * [simplify]: iters left: 3 (19 enodes)
39.850 * * [simplify]: iters left: 2 (27 enodes)
39.857 * * [simplify]: iters left: 1 (32 enodes)
39.861 * * [simplify]: Extracting #0: cost 1 inf + 0
39.861 * * [simplify]: Extracting #1: cost 8 inf + 0
39.861 * * [simplify]: Extracting #2: cost 7 inf + 45
39.861 * * [simplify]: Extracting #3: cost 0 inf + 421
39.861 * [simplify]: Simplified to (* (* PI 2) n)
39.861 * [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))))
39.861 * * * * [progress]: [ 197 / 226 ] 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))))>
39.862 * [simplify]: Simplifying (* n (* 2 PI))
39.862 * * [simplify]: iters left: 4 (5 enodes)
39.863 * * [simplify]: iters left: 3 (19 enodes)
39.866 * * [simplify]: iters left: 2 (27 enodes)
39.870 * * [simplify]: iters left: 1 (32 enodes)
39.873 * * [simplify]: Extracting #0: cost 1 inf + 0
39.873 * * [simplify]: Extracting #1: cost 8 inf + 0
39.873 * * [simplify]: Extracting #2: cost 7 inf + 45
39.874 * * [simplify]: Extracting #3: cost 0 inf + 421
39.874 * [simplify]: Simplified to (* (* PI 2) n)
39.874 * [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))))
39.874 * * * * [progress]: [ 198 / 226 ] 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))))>
39.874 * * * * [progress]: [ 199 / 226 ] 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))))>
39.874 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI)))
39.874 * * [simplify]: iters left: 5 (8 enodes)
39.876 * * [simplify]: iters left: 4 (28 enodes)
39.880 * * [simplify]: iters left: 3 (36 enodes)
39.885 * * [simplify]: iters left: 2 (42 enodes)
39.893 * * [simplify]: Extracting #0: cost 1 inf + 0
39.893 * * [simplify]: Extracting #1: cost 8 inf + 0
39.893 * * [simplify]: Extracting #2: cost 17 inf + 0
39.893 * * [simplify]: Extracting #3: cost 12 inf + 145
39.893 * * [simplify]: Extracting #4: cost 5 inf + 1197
39.894 * * [simplify]: Extracting #5: cost 1 inf + 1925
39.895 * * [simplify]: Extracting #6: cost 0 inf + 2107
39.895 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI)))
39.895 * [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))))
39.895 * * * * [progress]: [ 200 / 226 ] 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))))>
39.896 * [simplify]: Simplifying (+ (log n) (log (* 2 PI)))
39.896 * * [simplify]: iters left: 5 (7 enodes)
39.903 * * [simplify]: iters left: 4 (26 enodes)
39.911 * * [simplify]: iters left: 3 (35 enodes)
39.922 * * [simplify]: iters left: 2 (44 enodes)
39.933 * * [simplify]: Extracting #0: cost 1 inf + 0
39.933 * * [simplify]: Extracting #1: cost 8 inf + 0
39.933 * * [simplify]: Extracting #2: cost 18 inf + 0
39.933 * * [simplify]: Extracting #3: cost 15 inf + 74
39.933 * * [simplify]: Extracting #4: cost 8 inf + 554
39.934 * * [simplify]: Extracting #5: cost 0 inf + 1911
39.934 * [simplify]: Simplified to (+ (log n) (log (* 2 PI)))
39.934 * [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))))
39.935 * * * * [progress]: [ 201 / 226 ] 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))))>
39.935 * * * * [progress]: [ 202 / 226 ] 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))))>
39.935 * * * * [progress]: [ 203 / 226 ] 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))))>
39.935 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
39.935 * * [simplify]: iters left: 6 (11 enodes)
39.943 * * [simplify]: iters left: 5 (48 enodes)
39.961 * * [simplify]: iters left: 4 (121 enodes)
40.017 * * [simplify]: iters left: 3 (348 enodes)
40.182 * * [simplify]: Extracting #0: cost 1 inf + 0
40.182 * * [simplify]: Extracting #1: cost 67 inf + 0
40.182 * * [simplify]: Extracting #2: cost 165 inf + 786
40.185 * * [simplify]: Extracting #3: cost 85 inf + 10177
40.191 * * [simplify]: Extracting #4: cost 9 inf + 26399
40.202 * * [simplify]: Extracting #5: cost 0 inf + 28546
40.213 * * [simplify]: Extracting #6: cost 0 inf + 28506
40.220 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI))
40.220 * [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))))
40.220 * * * * [progress]: [ 204 / 226 ] 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))))>
40.220 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
40.220 * * [simplify]: iters left: 6 (9 enodes)
40.223 * * [simplify]: iters left: 5 (45 enodes)
40.234 * * [simplify]: iters left: 4 (117 enodes)
40.279 * * [simplify]: iters left: 3 (374 enodes)
40.588 * * [simplify]: Extracting #0: cost 1 inf + 0
40.588 * * [simplify]: Extracting #1: cost 77 inf + 0
40.590 * * [simplify]: Extracting #2: cost 184 inf + 984
40.597 * * [simplify]: Extracting #3: cost 106 inf + 11690
40.615 * * [simplify]: Extracting #4: cost 6 inf + 30376
40.630 * * [simplify]: Extracting #5: cost 0 inf + 31644
40.643 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n))
40.643 * [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))))
40.643 * * * * [progress]: [ 205 / 226 ] 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))))>
40.643 * * * * [progress]: [ 206 / 226 ] 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))))>
40.643 * * * * [progress]: [ 207 / 226 ] 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))))>
40.643 * * * * [progress]: [ 208 / 226 ] 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))))>
40.643 * * * * [progress]: [ 209 / 226 ] 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))))>
40.643 * * * * [progress]: [ 210 / 226 ] 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))))>
40.643 * [simplify]: Simplifying (* (cbrt n) (cbrt n))
40.643 * * [simplify]: iters left: 3 (3 enodes)
40.644 * * [simplify]: iters left: 2 (9 enodes)
40.645 * * [simplify]: Extracting #0: cost 1 inf + 0
40.645 * * [simplify]: Extracting #1: cost 3 inf + 0
40.645 * * [simplify]: Extracting #2: cost 5 inf + 0
40.645 * * [simplify]: Extracting #3: cost 4 inf + 1
40.645 * * [simplify]: Extracting #4: cost 0 inf + 405
40.645 * [simplify]: Simplified to (* (cbrt n) (cbrt n))
40.645 * [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))))
40.646 * * * * [progress]: [ 211 / 226 ] 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))))>
40.646 * [simplify]: Simplifying (sqrt n)
40.646 * * [simplify]: iters left: 1 (2 enodes)
40.646 * * [simplify]: Extracting #0: cost 1 inf + 0
40.646 * * [simplify]: Extracting #1: cost 3 inf + 0
40.646 * * [simplify]: Extracting #2: cost 2 inf + 1
40.646 * * [simplify]: Extracting #3: cost 0 inf + 83
40.646 * [simplify]: Simplified to (sqrt n)
40.646 * [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))))
40.646 * * * * [progress]: [ 212 / 226 ] 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))))>
40.646 * * * * [progress]: [ 213 / 226 ] 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))))>
40.646 * * * * [progress]: [ 214 / 226 ] 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))))>
40.646 * * * * [progress]: [ 215 / 226 ] 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))))>
40.647 * [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)))))))
40.647 * * [simplify]: iters left: 6 (37 enodes)
40.658 * * [simplify]: iters left: 5 (190 enodes)
40.704 * * [simplify]: Extracting #0: cost 1 inf + 0
40.704 * * [simplify]: Extracting #1: cost 18 inf + 0
40.704 * * [simplify]: Extracting #2: cost 85 inf + 0
40.704 * * [simplify]: Extracting #3: cost 169 inf + 45
40.705 * * [simplify]: Extracting #4: cost 194 inf + 581
40.707 * * [simplify]: Extracting #5: cost 128 inf + 18118
40.725 * * [simplify]: Extracting #6: cost 27 inf + 64733
40.758 * * [simplify]: Extracting #7: cost 1 inf + 82414
40.781 * * [simplify]: Extracting #8: cost 0 inf + 81915
40.796 * * [simplify]: Extracting #9: cost 0 inf + 81594
40.827 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4)))
40.827 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) (sqrt k))))
40.828 * * * * [progress]: [ 216 / 226 ] 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))))>
40.828 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
40.828 * * [simplify]: iters left: 6 (15 enodes)
40.837 * * [simplify]: iters left: 5 (65 enodes)
40.859 * * [simplify]: iters left: 4 (123 enodes)
40.904 * * [simplify]: iters left: 3 (360 enodes)
41.069 * * [simplify]: Extracting #0: cost 1 inf + 0
41.069 * * [simplify]: Extracting #1: cost 37 inf + 0
41.070 * * [simplify]: Extracting #2: cost 214 inf + 1
41.073 * * [simplify]: Extracting #3: cost 351 inf + 1827
41.082 * * [simplify]: Extracting #4: cost 217 inf + 29927
41.113 * * [simplify]: Extracting #5: cost 35 inf + 80289
41.143 * * [simplify]: Extracting #6: cost 0 inf + 89737
41.174 * * [simplify]: Extracting #7: cost 0 inf + 88848
41.198 * * [simplify]: Extracting #8: cost 0 inf + 88843
41.215 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4))
41.215 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) (sqrt k))))
41.215 * * * * [progress]: [ 217 / 226 ] 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))))>
41.215 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
41.215 * * [simplify]: iters left: 6 (16 enodes)
41.220 * * [simplify]: iters left: 5 (67 enodes)
41.234 * * [simplify]: iters left: 4 (134 enodes)
41.290 * * [simplify]: iters left: 3 (406 enodes)
41.461 * * [simplify]: Extracting #0: cost 1 inf + 0
41.461 * * [simplify]: Extracting #1: cost 39 inf + 0
41.461 * * [simplify]: Extracting #2: cost 241 inf + 72
41.463 * * [simplify]: Extracting #3: cost 449 inf + 888
41.469 * * [simplify]: Extracting #4: cost 276 inf + 41470
41.504 * * [simplify]: Extracting #5: cost 21 inf + 115189
41.548 * * [simplify]: Extracting #6: cost 0 inf + 121987
41.590 * * [simplify]: Extracting #7: cost 0 inf + 121985
41.617 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
41.617 * [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))))
41.617 * * * * [progress]: [ 218 / 226 ] 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))))>
41.618 * [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)))))))
41.618 * * [simplify]: iters left: 6 (37 enodes)
41.629 * * [simplify]: iters left: 5 (190 enodes)
41.703 * * [simplify]: Extracting #0: cost 1 inf + 0
41.703 * * [simplify]: Extracting #1: cost 18 inf + 0
41.703 * * [simplify]: Extracting #2: cost 85 inf + 0
41.704 * * [simplify]: Extracting #3: cost 169 inf + 45
41.705 * * [simplify]: Extracting #4: cost 194 inf + 581
41.710 * * [simplify]: Extracting #5: cost 128 inf + 18118
41.728 * * [simplify]: Extracting #6: cost 27 inf + 64733
41.761 * * [simplify]: Extracting #7: cost 1 inf + 82414
41.786 * * [simplify]: Extracting #8: cost 0 inf + 81915
41.802 * * [simplify]: Extracting #9: cost 0 inf + 81594
41.828 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4)))
41.828 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
41.828 * * * * [progress]: [ 219 / 226 ] 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))))>
41.829 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
41.829 * * [simplify]: iters left: 6 (15 enodes)
41.834 * * [simplify]: iters left: 5 (65 enodes)
41.845 * * [simplify]: iters left: 4 (123 enodes)
41.877 * * [simplify]: iters left: 3 (360 enodes)
42.032 * * [simplify]: Extracting #0: cost 1 inf + 0
42.032 * * [simplify]: Extracting #1: cost 37 inf + 0
42.033 * * [simplify]: Extracting #2: cost 214 inf + 1
42.034 * * [simplify]: Extracting #3: cost 351 inf + 1827
42.038 * * [simplify]: Extracting #4: cost 217 inf + 29927
42.054 * * [simplify]: Extracting #5: cost 35 inf + 80289
42.078 * * [simplify]: Extracting #6: cost 0 inf + 89737
42.097 * * [simplify]: Extracting #7: cost 0 inf + 88848
42.112 * * [simplify]: Extracting #8: cost 0 inf + 88843
42.138 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4))
42.138 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
42.138 * * * * [progress]: [ 220 / 226 ] 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))))>
42.138 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
42.138 * * [simplify]: iters left: 6 (16 enodes)
42.145 * * [simplify]: iters left: 5 (67 enodes)
42.157 * * [simplify]: iters left: 4 (134 enodes)
42.199 * * [simplify]: iters left: 3 (406 enodes)
42.399 * * [simplify]: Extracting #0: cost 1 inf + 0
42.399 * * [simplify]: Extracting #1: cost 39 inf + 0
42.400 * * [simplify]: Extracting #2: cost 241 inf + 72
42.403 * * [simplify]: Extracting #3: cost 449 inf + 888
42.414 * * [simplify]: Extracting #4: cost 276 inf + 41470
42.448 * * [simplify]: Extracting #5: cost 21 inf + 115189
42.488 * * [simplify]: Extracting #6: cost 0 inf + 121987
42.531 * * [simplify]: Extracting #7: cost 0 inf + 121985
42.572 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
42.572 * [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))))
42.573 * * * * [progress]: [ 221 / 226 ] 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))))>
42.573 * [simplify]: Simplifying (* 2 (* n PI))
42.573 * * [simplify]: iters left: 4 (5 enodes)
42.578 * * [simplify]: iters left: 3 (19 enodes)
42.584 * * [simplify]: iters left: 2 (27 enodes)
42.591 * * [simplify]: iters left: 1 (32 enodes)
42.599 * * [simplify]: Extracting #0: cost 1 inf + 0
42.599 * * [simplify]: Extracting #1: cost 8 inf + 0
42.599 * * [simplify]: Extracting #2: cost 7 inf + 45
42.599 * * [simplify]: Extracting #3: cost 0 inf + 421
42.600 * [simplify]: Simplified to (* (* PI n) 2)
42.600 * [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))))
42.600 * * * * [progress]: [ 222 / 226 ] 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))))>
42.600 * [simplify]: Simplifying (* 2 (* n PI))
42.600 * * [simplify]: iters left: 4 (5 enodes)
42.603 * * [simplify]: iters left: 3 (19 enodes)
42.608 * * [simplify]: iters left: 2 (27 enodes)
42.616 * * [simplify]: iters left: 1 (32 enodes)
42.624 * * [simplify]: Extracting #0: cost 1 inf + 0
42.624 * * [simplify]: Extracting #1: cost 8 inf + 0
42.625 * * [simplify]: Extracting #2: cost 7 inf + 45
42.625 * * [simplify]: Extracting #3: cost 0 inf + 421
42.625 * [simplify]: Simplified to (* (* PI n) 2)
42.625 * [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))))
42.625 * * * * [progress]: [ 223 / 226 ] 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))))>
42.626 * [simplify]: Simplifying (* 2 (* n PI))
42.626 * * [simplify]: iters left: 4 (5 enodes)
42.628 * * [simplify]: iters left: 3 (19 enodes)
42.635 * * [simplify]: iters left: 2 (27 enodes)
42.643 * * [simplify]: iters left: 1 (32 enodes)
42.651 * * [simplify]: Extracting #0: cost 1 inf + 0
42.651 * * [simplify]: Extracting #1: cost 8 inf + 0
42.651 * * [simplify]: Extracting #2: cost 7 inf + 45
42.651 * * [simplify]: Extracting #3: cost 0 inf + 421
42.651 * [simplify]: Simplified to (* (* PI n) 2)
42.651 * [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))))
42.652 * * * * [progress]: [ 224 / 226 ] 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))))>
42.652 * [simplify]: Simplifying (* 2 (* n PI))
42.652 * * [simplify]: iters left: 4 (5 enodes)
42.655 * * [simplify]: iters left: 3 (19 enodes)
42.661 * * [simplify]: iters left: 2 (27 enodes)
42.666 * * [simplify]: iters left: 1 (32 enodes)
42.671 * * [simplify]: Extracting #0: cost 1 inf + 0
42.671 * * [simplify]: Extracting #1: cost 8 inf + 0
42.671 * * [simplify]: Extracting #2: cost 7 inf + 45
42.671 * * [simplify]: Extracting #3: cost 0 inf + 421
42.671 * [simplify]: Simplified to (* (* PI n) 2)
42.671 * [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))))
42.671 * * * * [progress]: [ 225 / 226 ] 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))))>
42.671 * [simplify]: Simplifying (* 2 (* n PI))
42.671 * * [simplify]: iters left: 4 (5 enodes)
42.673 * * [simplify]: iters left: 3 (19 enodes)
42.676 * * [simplify]: iters left: 2 (27 enodes)
42.680 * * [simplify]: iters left: 1 (32 enodes)
42.684 * * [simplify]: Extracting #0: cost 1 inf + 0
42.684 * * [simplify]: Extracting #1: cost 8 inf + 0
42.684 * * [simplify]: Extracting #2: cost 7 inf + 45
42.685 * * [simplify]: Extracting #3: cost 0 inf + 421
42.685 * [simplify]: Simplified to (* (* PI n) 2)
42.685 * [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))))
42.685 * * * * [progress]: [ 226 / 226 ] 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))))>
42.685 * [simplify]: Simplifying (* 2 (* n PI))
42.685 * * [simplify]: iters left: 4 (5 enodes)
42.687 * * [simplify]: iters left: 3 (19 enodes)
42.689 * * [simplify]: iters left: 2 (27 enodes)
42.695 * * [simplify]: iters left: 1 (32 enodes)
42.705 * * [simplify]: Extracting #0: cost 1 inf + 0
42.705 * * [simplify]: Extracting #1: cost 8 inf + 0
42.705 * * [simplify]: Extracting #2: cost 7 inf + 45
42.705 * * [simplify]: Extracting #3: cost 0 inf + 421
42.705 * [simplify]: Simplified to (* (* PI n) 2)
42.706 * [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))))
42.706 * * * [progress]: adding candidates to table
45.925 * * [progress]: iteration 3 / 4
45.925 * * * [progress]: picking best candidate
45.962 * * * * [pick]: Picked  #<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))))>
45.962 * * * [progress]: localizing error
46.058 * * * [progress]: generating rewritten candidates
46.058 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
46.074 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
46.152 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2)
46.162 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2)
46.175 * * * [progress]: generating series expansions
46.175 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
46.176 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
46.176 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
46.176 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
46.176 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
46.176 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
46.176 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
46.176 * [taylor]: Taking taylor expansion of 1/4 in k
46.176 * [backup-simplify]: Simplify 1/4 into 1/4
46.176 * [taylor]: Taking taylor expansion of (- 1 k) in k
46.176 * [taylor]: Taking taylor expansion of 1 in k
46.176 * [backup-simplify]: Simplify 1 into 1
46.176 * [taylor]: Taking taylor expansion of k in k
46.176 * [backup-simplify]: Simplify 0 into 0
46.176 * [backup-simplify]: Simplify 1 into 1
46.176 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
46.176 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
46.176 * [taylor]: Taking taylor expansion of 2 in k
46.176 * [backup-simplify]: Simplify 2 into 2
46.176 * [taylor]: Taking taylor expansion of (* n PI) in k
46.176 * [taylor]: Taking taylor expansion of n in k
46.176 * [backup-simplify]: Simplify n into n
46.176 * [taylor]: Taking taylor expansion of PI in k
46.176 * [backup-simplify]: Simplify PI into PI
46.176 * [backup-simplify]: Simplify (* n PI) into (* n PI)
46.176 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
46.176 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
46.176 * [backup-simplify]: Simplify (- 0) into 0
46.177 * [backup-simplify]: Simplify (+ 1 0) into 1
46.177 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
46.177 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
46.177 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
46.177 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
46.177 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
46.177 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
46.177 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
46.177 * [taylor]: Taking taylor expansion of 1/4 in n
46.177 * [backup-simplify]: Simplify 1/4 into 1/4
46.177 * [taylor]: Taking taylor expansion of (- 1 k) in n
46.177 * [taylor]: Taking taylor expansion of 1 in n
46.177 * [backup-simplify]: Simplify 1 into 1
46.177 * [taylor]: Taking taylor expansion of k in n
46.177 * [backup-simplify]: Simplify k into k
46.177 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
46.177 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
46.177 * [taylor]: Taking taylor expansion of 2 in n
46.177 * [backup-simplify]: Simplify 2 into 2
46.177 * [taylor]: Taking taylor expansion of (* n PI) in n
46.177 * [taylor]: Taking taylor expansion of n in n
46.177 * [backup-simplify]: Simplify 0 into 0
46.177 * [backup-simplify]: Simplify 1 into 1
46.177 * [taylor]: Taking taylor expansion of PI in n
46.177 * [backup-simplify]: Simplify PI into PI
46.178 * [backup-simplify]: Simplify (* 0 PI) into 0
46.178 * [backup-simplify]: Simplify (* 2 0) into 0
46.179 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
46.180 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
46.180 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.180 * [backup-simplify]: Simplify (- k) into (- k)
46.181 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
46.181 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
46.181 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.182 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
46.183 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
46.183 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
46.183 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
46.183 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
46.183 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
46.183 * [taylor]: Taking taylor expansion of 1/4 in n
46.183 * [backup-simplify]: Simplify 1/4 into 1/4
46.183 * [taylor]: Taking taylor expansion of (- 1 k) in n
46.183 * [taylor]: Taking taylor expansion of 1 in n
46.183 * [backup-simplify]: Simplify 1 into 1
46.183 * [taylor]: Taking taylor expansion of k in n
46.183 * [backup-simplify]: Simplify k into k
46.183 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
46.183 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
46.183 * [taylor]: Taking taylor expansion of 2 in n
46.183 * [backup-simplify]: Simplify 2 into 2
46.183 * [taylor]: Taking taylor expansion of (* n PI) in n
46.183 * [taylor]: Taking taylor expansion of n in n
46.183 * [backup-simplify]: Simplify 0 into 0
46.183 * [backup-simplify]: Simplify 1 into 1
46.183 * [taylor]: Taking taylor expansion of PI in n
46.183 * [backup-simplify]: Simplify PI into PI
46.183 * [backup-simplify]: Simplify (* 0 PI) into 0
46.183 * [backup-simplify]: Simplify (* 2 0) into 0
46.185 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
46.185 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
46.186 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.186 * [backup-simplify]: Simplify (- k) into (- k)
46.186 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
46.186 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
46.187 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.188 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
46.192 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
46.192 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
46.192 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
46.192 * [taylor]: Taking taylor expansion of 1/4 in k
46.192 * [backup-simplify]: Simplify 1/4 into 1/4
46.192 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
46.192 * [taylor]: Taking taylor expansion of (- 1 k) in k
46.192 * [taylor]: Taking taylor expansion of 1 in k
46.192 * [backup-simplify]: Simplify 1 into 1
46.192 * [taylor]: Taking taylor expansion of k in k
46.192 * [backup-simplify]: Simplify 0 into 0
46.192 * [backup-simplify]: Simplify 1 into 1
46.192 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
46.192 * [taylor]: Taking taylor expansion of (log n) in k
46.192 * [taylor]: Taking taylor expansion of n in k
46.192 * [backup-simplify]: Simplify n into n
46.192 * [backup-simplify]: Simplify (log n) into (log n)
46.192 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
46.192 * [taylor]: Taking taylor expansion of (* 2 PI) in k
46.192 * [taylor]: Taking taylor expansion of 2 in k
46.192 * [backup-simplify]: Simplify 2 into 2
46.192 * [taylor]: Taking taylor expansion of PI in k
46.192 * [backup-simplify]: Simplify PI into PI
46.192 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
46.193 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.193 * [backup-simplify]: Simplify (- 0) into 0
46.194 * [backup-simplify]: Simplify (+ 1 0) into 1
46.194 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.195 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
46.195 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
46.196 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
46.197 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
46.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
46.198 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
46.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
46.199 * [backup-simplify]: Simplify (- 0) into 0
46.199 * [backup-simplify]: Simplify (+ 0 0) into 0
46.199 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
46.200 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.201 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
46.203 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
46.203 * [taylor]: Taking taylor expansion of 0 in k
46.203 * [backup-simplify]: Simplify 0 into 0
46.203 * [backup-simplify]: Simplify 0 into 0
46.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
46.205 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
46.206 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
46.207 * [backup-simplify]: Simplify (+ 0 0) into 0
46.207 * [backup-simplify]: Simplify (- 1) into -1
46.207 * [backup-simplify]: Simplify (+ 0 -1) into -1
46.209 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
46.211 * [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)))))
46.213 * [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)))))))
46.216 * [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)))))))
46.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
46.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
46.222 * [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
46.222 * [backup-simplify]: Simplify (- 0) into 0
46.223 * [backup-simplify]: Simplify (+ 0 0) into 0
46.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
46.224 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.225 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
46.227 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.227 * [taylor]: Taking taylor expansion of 0 in k
46.227 * [backup-simplify]: Simplify 0 into 0
46.227 * [backup-simplify]: Simplify 0 into 0
46.227 * [backup-simplify]: Simplify 0 into 0
46.228 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
46.228 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
46.230 * [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
46.230 * [backup-simplify]: Simplify (+ 0 0) into 0
46.230 * [backup-simplify]: Simplify (- 0) into 0
46.231 * [backup-simplify]: Simplify (+ 0 0) into 0
46.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
46.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
46.236 * [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)))))
46.238 * [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))))) 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)))))
46.243 * [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)))))))
46.244 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
46.244 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
46.244 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
46.244 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
46.244 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
46.244 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
46.244 * [taylor]: Taking taylor expansion of 1/4 in k
46.244 * [backup-simplify]: Simplify 1/4 into 1/4
46.244 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
46.244 * [taylor]: Taking taylor expansion of 1 in k
46.244 * [backup-simplify]: Simplify 1 into 1
46.244 * [taylor]: Taking taylor expansion of (/ 1 k) in k
46.244 * [taylor]: Taking taylor expansion of k in k
46.244 * [backup-simplify]: Simplify 0 into 0
46.244 * [backup-simplify]: Simplify 1 into 1
46.245 * [backup-simplify]: Simplify (/ 1 1) into 1
46.245 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
46.245 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
46.245 * [taylor]: Taking taylor expansion of 2 in k
46.245 * [backup-simplify]: Simplify 2 into 2
46.245 * [taylor]: Taking taylor expansion of (/ PI n) in k
46.245 * [taylor]: Taking taylor expansion of PI in k
46.245 * [backup-simplify]: Simplify PI into PI
46.245 * [taylor]: Taking taylor expansion of n in k
46.245 * [backup-simplify]: Simplify n into n
46.245 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
46.245 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
46.245 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
46.245 * [backup-simplify]: Simplify (- 1) into -1
46.245 * [backup-simplify]: Simplify (+ 0 -1) into -1
46.246 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
46.246 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
46.246 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
46.246 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
46.246 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
46.246 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
46.246 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
46.246 * [taylor]: Taking taylor expansion of 1/4 in n
46.246 * [backup-simplify]: Simplify 1/4 into 1/4
46.246 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
46.246 * [taylor]: Taking taylor expansion of 1 in n
46.246 * [backup-simplify]: Simplify 1 into 1
46.246 * [taylor]: Taking taylor expansion of (/ 1 k) in n
46.246 * [taylor]: Taking taylor expansion of k in n
46.246 * [backup-simplify]: Simplify k into k
46.246 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
46.246 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
46.246 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
46.246 * [taylor]: Taking taylor expansion of 2 in n
46.246 * [backup-simplify]: Simplify 2 into 2
46.246 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.246 * [taylor]: Taking taylor expansion of PI in n
46.246 * [backup-simplify]: Simplify PI into PI
46.246 * [taylor]: Taking taylor expansion of n in n
46.246 * [backup-simplify]: Simplify 0 into 0
46.246 * [backup-simplify]: Simplify 1 into 1
46.246 * [backup-simplify]: Simplify (/ PI 1) into PI
46.247 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
46.247 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.247 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
46.247 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
46.247 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
46.248 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
46.249 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
46.250 * [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)))))
46.250 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
46.250 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
46.250 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
46.250 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
46.250 * [taylor]: Taking taylor expansion of 1/4 in n
46.250 * [backup-simplify]: Simplify 1/4 into 1/4
46.250 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
46.250 * [taylor]: Taking taylor expansion of 1 in n
46.250 * [backup-simplify]: Simplify 1 into 1
46.250 * [taylor]: Taking taylor expansion of (/ 1 k) in n
46.250 * [taylor]: Taking taylor expansion of k in n
46.250 * [backup-simplify]: Simplify k into k
46.250 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
46.250 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
46.250 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
46.250 * [taylor]: Taking taylor expansion of 2 in n
46.250 * [backup-simplify]: Simplify 2 into 2
46.250 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.250 * [taylor]: Taking taylor expansion of PI in n
46.250 * [backup-simplify]: Simplify PI into PI
46.250 * [taylor]: Taking taylor expansion of n in n
46.250 * [backup-simplify]: Simplify 0 into 0
46.250 * [backup-simplify]: Simplify 1 into 1
46.250 * [backup-simplify]: Simplify (/ PI 1) into PI
46.250 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
46.251 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.251 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
46.251 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
46.251 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
46.252 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
46.253 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
46.253 * [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)))))
46.253 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
46.253 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
46.253 * [taylor]: Taking taylor expansion of 1/4 in k
46.253 * [backup-simplify]: Simplify 1/4 into 1/4
46.253 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
46.253 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
46.253 * [taylor]: Taking taylor expansion of 1 in k
46.253 * [backup-simplify]: Simplify 1 into 1
46.253 * [taylor]: Taking taylor expansion of (/ 1 k) in k
46.254 * [taylor]: Taking taylor expansion of k in k
46.254 * [backup-simplify]: Simplify 0 into 0
46.254 * [backup-simplify]: Simplify 1 into 1
46.254 * [backup-simplify]: Simplify (/ 1 1) into 1
46.254 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
46.254 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
46.254 * [taylor]: Taking taylor expansion of (* 2 PI) in k
46.254 * [taylor]: Taking taylor expansion of 2 in k
46.254 * [backup-simplify]: Simplify 2 into 2
46.254 * [taylor]: Taking taylor expansion of PI in k
46.254 * [backup-simplify]: Simplify PI into PI
46.254 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
46.255 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.255 * [taylor]: Taking taylor expansion of (log n) in k
46.255 * [taylor]: Taking taylor expansion of n in k
46.255 * [backup-simplify]: Simplify n into n
46.255 * [backup-simplify]: Simplify (log n) into (log n)
46.255 * [backup-simplify]: Simplify (- 1) into -1
46.255 * [backup-simplify]: Simplify (+ 0 -1) into -1
46.255 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
46.256 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
46.257 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
46.258 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
46.259 * [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)))))
46.260 * [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)))))
46.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
46.262 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
46.264 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
46.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
46.264 * [backup-simplify]: Simplify (- 0) into 0
46.264 * [backup-simplify]: Simplify (+ 0 0) into 0
46.265 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
46.266 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
46.267 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
46.269 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
46.269 * [taylor]: Taking taylor expansion of 0 in k
46.269 * [backup-simplify]: Simplify 0 into 0
46.269 * [backup-simplify]: Simplify 0 into 0
46.269 * [backup-simplify]: Simplify 0 into 0
46.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.271 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
46.274 * [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
46.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
46.275 * [backup-simplify]: Simplify (- 0) into 0
46.276 * [backup-simplify]: Simplify (+ 0 0) into 0
46.276 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
46.278 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
46.279 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
46.281 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.282 * [taylor]: Taking taylor expansion of 0 in k
46.282 * [backup-simplify]: Simplify 0 into 0
46.282 * [backup-simplify]: Simplify 0 into 0
46.282 * [backup-simplify]: Simplify 0 into 0
46.282 * [backup-simplify]: Simplify 0 into 0
46.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
46.290 * [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
46.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
46.291 * [backup-simplify]: Simplify (- 0) into 0
46.291 * [backup-simplify]: Simplify (+ 0 0) into 0
46.292 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
46.293 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
46.295 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
46.298 * [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
46.298 * [taylor]: Taking taylor expansion of 0 in k
46.298 * [backup-simplify]: Simplify 0 into 0
46.298 * [backup-simplify]: Simplify 0 into 0
46.301 * [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))))))
46.302 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
46.302 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
46.302 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
46.302 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
46.302 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
46.302 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
46.302 * [taylor]: Taking taylor expansion of 1/4 in k
46.302 * [backup-simplify]: Simplify 1/4 into 1/4
46.302 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
46.302 * [taylor]: Taking taylor expansion of (/ 1 k) in k
46.302 * [taylor]: Taking taylor expansion of k in k
46.302 * [backup-simplify]: Simplify 0 into 0
46.302 * [backup-simplify]: Simplify 1 into 1
46.303 * [backup-simplify]: Simplify (/ 1 1) into 1
46.303 * [taylor]: Taking taylor expansion of 1 in k
46.303 * [backup-simplify]: Simplify 1 into 1
46.303 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
46.303 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
46.303 * [taylor]: Taking taylor expansion of -2 in k
46.303 * [backup-simplify]: Simplify -2 into -2
46.303 * [taylor]: Taking taylor expansion of (/ PI n) in k
46.303 * [taylor]: Taking taylor expansion of PI in k
46.303 * [backup-simplify]: Simplify PI into PI
46.303 * [taylor]: Taking taylor expansion of n in k
46.303 * [backup-simplify]: Simplify n into n
46.303 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
46.303 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
46.303 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
46.304 * [backup-simplify]: Simplify (+ 1 0) into 1
46.304 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
46.304 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
46.304 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
46.305 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
46.305 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
46.305 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
46.305 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
46.305 * [taylor]: Taking taylor expansion of 1/4 in n
46.305 * [backup-simplify]: Simplify 1/4 into 1/4
46.305 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
46.305 * [taylor]: Taking taylor expansion of (/ 1 k) in n
46.305 * [taylor]: Taking taylor expansion of k in n
46.305 * [backup-simplify]: Simplify k into k
46.305 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
46.305 * [taylor]: Taking taylor expansion of 1 in n
46.305 * [backup-simplify]: Simplify 1 into 1
46.305 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
46.305 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
46.305 * [taylor]: Taking taylor expansion of -2 in n
46.305 * [backup-simplify]: Simplify -2 into -2
46.305 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.305 * [taylor]: Taking taylor expansion of PI in n
46.305 * [backup-simplify]: Simplify PI into PI
46.305 * [taylor]: Taking taylor expansion of n in n
46.305 * [backup-simplify]: Simplify 0 into 0
46.305 * [backup-simplify]: Simplify 1 into 1
46.306 * [backup-simplify]: Simplify (/ PI 1) into PI
46.306 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
46.307 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
46.307 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
46.307 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
46.309 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.310 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
46.311 * [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)))))
46.311 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
46.311 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
46.311 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
46.312 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
46.312 * [taylor]: Taking taylor expansion of 1/4 in n
46.312 * [backup-simplify]: Simplify 1/4 into 1/4
46.312 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
46.312 * [taylor]: Taking taylor expansion of (/ 1 k) in n
46.312 * [taylor]: Taking taylor expansion of k in n
46.312 * [backup-simplify]: Simplify k into k
46.312 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
46.312 * [taylor]: Taking taylor expansion of 1 in n
46.312 * [backup-simplify]: Simplify 1 into 1
46.312 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
46.312 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
46.312 * [taylor]: Taking taylor expansion of -2 in n
46.312 * [backup-simplify]: Simplify -2 into -2
46.312 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.312 * [taylor]: Taking taylor expansion of PI in n
46.312 * [backup-simplify]: Simplify PI into PI
46.312 * [taylor]: Taking taylor expansion of n in n
46.312 * [backup-simplify]: Simplify 0 into 0
46.312 * [backup-simplify]: Simplify 1 into 1
46.313 * [backup-simplify]: Simplify (/ PI 1) into PI
46.313 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
46.314 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
46.314 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
46.314 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
46.316 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.317 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
46.318 * [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)))))
46.318 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
46.318 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
46.318 * [taylor]: Taking taylor expansion of 1/4 in k
46.318 * [backup-simplify]: Simplify 1/4 into 1/4
46.318 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
46.318 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
46.318 * [taylor]: Taking taylor expansion of (/ 1 k) in k
46.318 * [taylor]: Taking taylor expansion of k in k
46.318 * [backup-simplify]: Simplify 0 into 0
46.319 * [backup-simplify]: Simplify 1 into 1
46.319 * [backup-simplify]: Simplify (/ 1 1) into 1
46.319 * [taylor]: Taking taylor expansion of 1 in k
46.319 * [backup-simplify]: Simplify 1 into 1
46.319 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
46.319 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
46.319 * [taylor]: Taking taylor expansion of (* -2 PI) in k
46.319 * [taylor]: Taking taylor expansion of -2 in k
46.319 * [backup-simplify]: Simplify -2 into -2
46.319 * [taylor]: Taking taylor expansion of PI in k
46.319 * [backup-simplify]: Simplify PI into PI
46.320 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
46.321 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
46.321 * [taylor]: Taking taylor expansion of (log n) in k
46.321 * [taylor]: Taking taylor expansion of n in k
46.321 * [backup-simplify]: Simplify n into n
46.321 * [backup-simplify]: Simplify (log n) into (log n)
46.321 * [backup-simplify]: Simplify (+ 1 0) into 1
46.321 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
46.322 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
46.323 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
46.324 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
46.325 * [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)))))
46.326 * [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)))))
46.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
46.328 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
46.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
46.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
46.331 * [backup-simplify]: Simplify (+ 0 0) into 0
46.331 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
46.333 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.334 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
46.337 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
46.337 * [taylor]: Taking taylor expansion of 0 in k
46.337 * [backup-simplify]: Simplify 0 into 0
46.337 * [backup-simplify]: Simplify 0 into 0
46.337 * [backup-simplify]: Simplify 0 into 0
46.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.340 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
46.343 * [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
46.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
46.344 * [backup-simplify]: Simplify (+ 0 0) into 0
46.344 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
46.346 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.347 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
46.349 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.350 * [taylor]: Taking taylor expansion of 0 in k
46.350 * [backup-simplify]: Simplify 0 into 0
46.350 * [backup-simplify]: Simplify 0 into 0
46.350 * [backup-simplify]: Simplify 0 into 0
46.350 * [backup-simplify]: Simplify 0 into 0
46.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.352 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
46.358 * [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
46.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
46.359 * [backup-simplify]: Simplify (+ 0 0) into 0
46.360 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
46.361 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.363 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
46.366 * [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
46.366 * [taylor]: Taking taylor expansion of 0 in k
46.366 * [backup-simplify]: Simplify 0 into 0
46.366 * [backup-simplify]: Simplify 0 into 0
46.367 * [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))))))
46.367 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
46.369 * [backup-simplify]: Simplify (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) into (pow (* PI (* n (pow (cbrt 2) 3))) (* 1/4 (- 1 k)))
46.369 * [approximate]: Taking taylor expansion of (pow (* PI (* n (pow (cbrt 2) 3))) (* 1/4 (- 1 k))) in (n k) around 0
46.369 * [taylor]: Taking taylor expansion of (pow (* PI (* n (pow (cbrt 2) 3))) (* 1/4 (- 1 k))) in k
46.369 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* PI (* n (pow (cbrt 2) 3)))))) in k
46.369 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* PI (* n (pow (cbrt 2) 3))))) in k
46.369 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
46.369 * [taylor]: Taking taylor expansion of 1/4 in k
46.369 * [backup-simplify]: Simplify 1/4 into 1/4
46.369 * [taylor]: Taking taylor expansion of (- 1 k) in k
46.369 * [taylor]: Taking taylor expansion of 1 in k
46.369 * [backup-simplify]: Simplify 1 into 1
46.369 * [taylor]: Taking taylor expansion of k in k
46.369 * [backup-simplify]: Simplify 0 into 0
46.369 * [backup-simplify]: Simplify 1 into 1
46.369 * [taylor]: Taking taylor expansion of (log (* PI (* n (pow (cbrt 2) 3)))) in k
46.369 * [taylor]: Taking taylor expansion of (* PI (* n (pow (cbrt 2) 3))) in k
46.369 * [taylor]: Taking taylor expansion of PI in k
46.369 * [backup-simplify]: Simplify PI into PI
46.369 * [taylor]: Taking taylor expansion of (* n (pow (cbrt 2) 3)) in k
46.369 * [taylor]: Taking taylor expansion of n in k
46.369 * [backup-simplify]: Simplify n into n
46.369 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 3) in k
46.369 * [taylor]: Taking taylor expansion of (cbrt 2) in k
46.369 * [taylor]: Taking taylor expansion of 2 in k
46.369 * [backup-simplify]: Simplify 2 into 2
46.370 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
46.371 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
46.372 * [backup-simplify]: Simplify (* (cbrt 2) (cbrt 2)) into (pow (cbrt 2) 2)
46.374 * [backup-simplify]: Simplify (* (cbrt 2) (pow (cbrt 2) 2)) into (pow (cbrt 2) 3)
46.375 * [backup-simplify]: Simplify (* n (pow (cbrt 2) 3)) into (* 2 n)
46.375 * [backup-simplify]: Simplify (* PI (* 2 n)) into (* 2 (* n PI))
46.375 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
46.376 * [backup-simplify]: Simplify (- 0) into 0
46.376 * [backup-simplify]: Simplify (+ 1 0) into 1
46.376 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
46.376 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
46.377 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
46.377 * [taylor]: Taking taylor expansion of (pow (* PI (* n (pow (cbrt 2) 3))) (* 1/4 (- 1 k))) in n
46.377 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* PI (* n (pow (cbrt 2) 3)))))) in n
46.377 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* PI (* n (pow (cbrt 2) 3))))) in n
46.377 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
46.377 * [taylor]: Taking taylor expansion of 1/4 in n
46.377 * [backup-simplify]: Simplify 1/4 into 1/4
46.377 * [taylor]: Taking taylor expansion of (- 1 k) in n
46.377 * [taylor]: Taking taylor expansion of 1 in n
46.377 * [backup-simplify]: Simplify 1 into 1
46.377 * [taylor]: Taking taylor expansion of k in n
46.377 * [backup-simplify]: Simplify k into k
46.377 * [taylor]: Taking taylor expansion of (log (* PI (* n (pow (cbrt 2) 3)))) in n
46.377 * [taylor]: Taking taylor expansion of (* PI (* n (pow (cbrt 2) 3))) in n
46.377 * [taylor]: Taking taylor expansion of PI in n
46.377 * [backup-simplify]: Simplify PI into PI
46.377 * [taylor]: Taking taylor expansion of (* n (pow (cbrt 2) 3)) in n
46.377 * [taylor]: Taking taylor expansion of n in n
46.377 * [backup-simplify]: Simplify 0 into 0
46.377 * [backup-simplify]: Simplify 1 into 1
46.377 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 3) in n
46.377 * [taylor]: Taking taylor expansion of (cbrt 2) in n
46.377 * [taylor]: Taking taylor expansion of 2 in n
46.377 * [backup-simplify]: Simplify 2 into 2
46.378 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
46.378 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
46.380 * [backup-simplify]: Simplify (* (cbrt 2) (cbrt 2)) into (pow (cbrt 2) 2)
46.381 * [backup-simplify]: Simplify (* (cbrt 2) (pow (cbrt 2) 2)) into (pow (cbrt 2) 3)
46.382 * [backup-simplify]: Simplify (* 0 (pow (cbrt 2) 3)) into 0
46.383 * [backup-simplify]: Simplify (* PI 0) into 0
46.384 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (* 0 (cbrt 2))) into 0
46.384 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (* 0 (pow (cbrt 2) 2))) into 0
46.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cbrt 2) 3))) into 2
46.389 * [backup-simplify]: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI)
46.390 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.390 * [backup-simplify]: Simplify (- k) into (- k)
46.391 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
46.391 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
46.392 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.393 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
46.394 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
46.394 * [taylor]: Taking taylor expansion of (pow (* PI (* n (pow (cbrt 2) 3))) (* 1/4 (- 1 k))) in n
46.394 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* PI (* n (pow (cbrt 2) 3)))))) in n
46.394 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* PI (* n (pow (cbrt 2) 3))))) in n
46.394 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
46.394 * [taylor]: Taking taylor expansion of 1/4 in n
46.394 * [backup-simplify]: Simplify 1/4 into 1/4
46.394 * [taylor]: Taking taylor expansion of (- 1 k) in n
46.394 * [taylor]: Taking taylor expansion of 1 in n
46.394 * [backup-simplify]: Simplify 1 into 1
46.394 * [taylor]: Taking taylor expansion of k in n
46.394 * [backup-simplify]: Simplify k into k
46.394 * [taylor]: Taking taylor expansion of (log (* PI (* n (pow (cbrt 2) 3)))) in n
46.394 * [taylor]: Taking taylor expansion of (* PI (* n (pow (cbrt 2) 3))) in n
46.394 * [taylor]: Taking taylor expansion of PI in n
46.394 * [backup-simplify]: Simplify PI into PI
46.394 * [taylor]: Taking taylor expansion of (* n (pow (cbrt 2) 3)) in n
46.394 * [taylor]: Taking taylor expansion of n in n
46.395 * [backup-simplify]: Simplify 0 into 0
46.395 * [backup-simplify]: Simplify 1 into 1
46.395 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 3) in n
46.395 * [taylor]: Taking taylor expansion of (cbrt 2) in n
46.395 * [taylor]: Taking taylor expansion of 2 in n
46.395 * [backup-simplify]: Simplify 2 into 2
46.395 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
46.396 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
46.397 * [backup-simplify]: Simplify (* (cbrt 2) (cbrt 2)) into (pow (cbrt 2) 2)
46.399 * [backup-simplify]: Simplify (* (cbrt 2) (pow (cbrt 2) 2)) into (pow (cbrt 2) 3)
46.400 * [backup-simplify]: Simplify (* 0 (pow (cbrt 2) 3)) into 0
46.401 * [backup-simplify]: Simplify (* PI 0) into 0
46.401 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (* 0 (cbrt 2))) into 0
46.402 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (* 0 (pow (cbrt 2) 2))) into 0
46.406 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cbrt 2) 3))) into 2
46.408 * [backup-simplify]: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI)
46.409 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.409 * [backup-simplify]: Simplify (- k) into (- k)
46.409 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
46.409 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
46.411 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.412 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
46.413 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
46.413 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
46.413 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
46.413 * [taylor]: Taking taylor expansion of 1/4 in k
46.413 * [backup-simplify]: Simplify 1/4 into 1/4
46.413 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
46.413 * [taylor]: Taking taylor expansion of (- 1 k) in k
46.413 * [taylor]: Taking taylor expansion of 1 in k
46.413 * [backup-simplify]: Simplify 1 into 1
46.413 * [taylor]: Taking taylor expansion of k in k
46.413 * [backup-simplify]: Simplify 0 into 0
46.413 * [backup-simplify]: Simplify 1 into 1
46.413 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
46.413 * [taylor]: Taking taylor expansion of (log n) in k
46.413 * [taylor]: Taking taylor expansion of n in k
46.413 * [backup-simplify]: Simplify n into n
46.413 * [backup-simplify]: Simplify (log n) into (log n)
46.414 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
46.414 * [taylor]: Taking taylor expansion of (* 2 PI) in k
46.414 * [taylor]: Taking taylor expansion of 2 in k
46.414 * [backup-simplify]: Simplify 2 into 2
46.414 * [taylor]: Taking taylor expansion of PI in k
46.414 * [backup-simplify]: Simplify PI into PI
46.414 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
46.415 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.416 * [backup-simplify]: Simplify (- 0) into 0
46.416 * [backup-simplify]: Simplify (+ 1 0) into 1
46.417 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.418 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
46.419 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
46.420 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
46.421 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
46.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
46.424 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0
46.426 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 2)))) into 0
46.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (cbrt 2) 3)))) into 0
46.428 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0
46.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
46.431 * [backup-simplify]: Simplify (- 0) into 0
46.431 * [backup-simplify]: Simplify (+ 0 0) into 0
46.432 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
46.433 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.434 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
46.436 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
46.436 * [taylor]: Taking taylor expansion of 0 in k
46.436 * [backup-simplify]: Simplify 0 into 0
46.436 * [backup-simplify]: Simplify 0 into 0
46.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
46.438 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
46.439 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
46.440 * [backup-simplify]: Simplify (+ 0 0) into 0
46.440 * [backup-simplify]: Simplify (- 1) into -1
46.441 * [backup-simplify]: Simplify (+ 0 -1) into -1
46.442 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
46.445 * [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)))))
46.448 * [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)))))))
46.455 * [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)))))))
46.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
46.457 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))) into 0
46.459 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 2))))) into 0
46.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 3))))) into 0
46.461 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 2) (* 0 0)))) into 0
46.465 * [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
46.465 * [backup-simplify]: Simplify (- 0) into 0
46.465 * [backup-simplify]: Simplify (+ 0 0) into 0
46.466 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
46.468 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
46.469 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
46.471 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.472 * [taylor]: Taking taylor expansion of 0 in k
46.472 * [backup-simplify]: Simplify 0 into 0
46.472 * [backup-simplify]: Simplify 0 into 0
46.472 * [backup-simplify]: Simplify 0 into 0
46.473 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
46.475 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
46.478 * [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
46.478 * [backup-simplify]: Simplify (+ 0 0) into 0
46.479 * [backup-simplify]: Simplify (- 0) into 0
46.479 * [backup-simplify]: Simplify (+ 0 0) into 0
46.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
46.483 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
46.487 * [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)))))
46.491 * [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)))))
46.500 * [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)))))))
46.502 * [backup-simplify]: Simplify (pow (* (* (cbrt (* (/ 1 n) (* 2 PI))) (cbrt (* (/ 1 n) (* 2 PI)))) (cbrt (* (/ 1 n) (* 2 PI)))) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (/ (* PI (pow (cbrt 2) 3)) n) (* 1/4 (- 1 (/ 1 k))))
46.502 * [approximate]: Taking taylor expansion of (pow (/ (* PI (pow (cbrt 2) 3)) n) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
46.502 * [taylor]: Taking taylor expansion of (pow (/ (* PI (pow (cbrt 2) 3)) n) (* 1/4 (- 1 (/ 1 k)))) in k
46.502 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ (* PI (pow (cbrt 2) 3)) n)))) in k
46.502 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ (* PI (pow (cbrt 2) 3)) n))) in k
46.502 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
46.502 * [taylor]: Taking taylor expansion of 1/4 in k
46.502 * [backup-simplify]: Simplify 1/4 into 1/4
46.502 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
46.503 * [taylor]: Taking taylor expansion of 1 in k
46.503 * [backup-simplify]: Simplify 1 into 1
46.503 * [taylor]: Taking taylor expansion of (/ 1 k) in k
46.503 * [taylor]: Taking taylor expansion of k in k
46.503 * [backup-simplify]: Simplify 0 into 0
46.503 * [backup-simplify]: Simplify 1 into 1
46.503 * [backup-simplify]: Simplify (/ 1 1) into 1
46.503 * [taylor]: Taking taylor expansion of (log (/ (* PI (pow (cbrt 2) 3)) n)) in k
46.503 * [taylor]: Taking taylor expansion of (/ (* PI (pow (cbrt 2) 3)) n) in k
46.503 * [taylor]: Taking taylor expansion of (* PI (pow (cbrt 2) 3)) in k
46.503 * [taylor]: Taking taylor expansion of PI in k
46.503 * [backup-simplify]: Simplify PI into PI
46.503 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 3) in k
46.503 * [taylor]: Taking taylor expansion of (cbrt 2) in k
46.503 * [taylor]: Taking taylor expansion of 2 in k
46.503 * [backup-simplify]: Simplify 2 into 2
46.504 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
46.504 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
46.505 * [taylor]: Taking taylor expansion of n in k
46.505 * [backup-simplify]: Simplify n into n
46.506 * [backup-simplify]: Simplify (* (cbrt 2) (cbrt 2)) into (pow (cbrt 2) 2)
46.508 * [backup-simplify]: Simplify (* (cbrt 2) (pow (cbrt 2) 2)) into (pow (cbrt 2) 3)
46.510 * [backup-simplify]: Simplify (* PI (pow (cbrt 2) 3)) into (* 2 PI)
46.511 * [backup-simplify]: Simplify (/ (* 2 PI) n) into (* 2 (/ PI n))
46.511 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
46.511 * [backup-simplify]: Simplify (- 1) into -1
46.511 * [backup-simplify]: Simplify (+ 0 -1) into -1
46.512 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
46.512 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
46.514 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ (* PI (pow (cbrt 2) 3)) n)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
46.514 * [taylor]: Taking taylor expansion of (pow (/ (* PI (pow (cbrt 2) 3)) n) (* 1/4 (- 1 (/ 1 k)))) in n
46.514 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ (* PI (pow (cbrt 2) 3)) n)))) in n
46.514 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ (* PI (pow (cbrt 2) 3)) n))) in n
46.514 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
46.514 * [taylor]: Taking taylor expansion of 1/4 in n
46.514 * [backup-simplify]: Simplify 1/4 into 1/4
46.514 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
46.514 * [taylor]: Taking taylor expansion of 1 in n
46.514 * [backup-simplify]: Simplify 1 into 1
46.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n
46.514 * [taylor]: Taking taylor expansion of k in n
46.514 * [backup-simplify]: Simplify k into k
46.514 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
46.514 * [taylor]: Taking taylor expansion of (log (/ (* PI (pow (cbrt 2) 3)) n)) in n
46.514 * [taylor]: Taking taylor expansion of (/ (* PI (pow (cbrt 2) 3)) n) in n
46.514 * [taylor]: Taking taylor expansion of (* PI (pow (cbrt 2) 3)) in n
46.514 * [taylor]: Taking taylor expansion of PI in n
46.514 * [backup-simplify]: Simplify PI into PI
46.514 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 3) in n
46.515 * [taylor]: Taking taylor expansion of (cbrt 2) in n
46.515 * [taylor]: Taking taylor expansion of 2 in n
46.515 * [backup-simplify]: Simplify 2 into 2
46.515 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
46.516 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
46.516 * [taylor]: Taking taylor expansion of n in n
46.516 * [backup-simplify]: Simplify 0 into 0
46.516 * [backup-simplify]: Simplify 1 into 1
46.517 * [backup-simplify]: Simplify (* (cbrt 2) (cbrt 2)) into (pow (cbrt 2) 2)
46.519 * [backup-simplify]: Simplify (* (cbrt 2) (pow (cbrt 2) 2)) into (pow (cbrt 2) 3)
46.520 * [backup-simplify]: Simplify (* PI (pow (cbrt 2) 3)) into (* 2 PI)
46.522 * [backup-simplify]: Simplify (/ (* 2 PI) 1) into (* 2 PI)
46.523 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.523 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
46.523 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
46.523 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
46.525 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
46.526 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
46.528 * [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)))))
46.528 * [taylor]: Taking taylor expansion of (pow (/ (* PI (pow (cbrt 2) 3)) n) (* 1/4 (- 1 (/ 1 k)))) in n
46.528 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (/ (* PI (pow (cbrt 2) 3)) n)))) in n
46.528 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (/ (* PI (pow (cbrt 2) 3)) n))) in n
46.528 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
46.528 * [taylor]: Taking taylor expansion of 1/4 in n
46.528 * [backup-simplify]: Simplify 1/4 into 1/4
46.528 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
46.528 * [taylor]: Taking taylor expansion of 1 in n
46.528 * [backup-simplify]: Simplify 1 into 1
46.528 * [taylor]: Taking taylor expansion of (/ 1 k) in n
46.528 * [taylor]: Taking taylor expansion of k in n
46.528 * [backup-simplify]: Simplify k into k
46.528 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
46.528 * [taylor]: Taking taylor expansion of (log (/ (* PI (pow (cbrt 2) 3)) n)) in n
46.528 * [taylor]: Taking taylor expansion of (/ (* PI (pow (cbrt 2) 3)) n) in n
46.528 * [taylor]: Taking taylor expansion of (* PI (pow (cbrt 2) 3)) in n
46.528 * [taylor]: Taking taylor expansion of PI in n
46.528 * [backup-simplify]: Simplify PI into PI
46.528 * [taylor]: Taking taylor expansion of (pow (cbrt 2) 3) in n
46.528 * [taylor]: Taking taylor expansion of (cbrt 2) in n
46.528 * [taylor]: Taking taylor expansion of 2 in n
46.528 * [backup-simplify]: Simplify 2 into 2
46.529 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
46.530 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
46.530 * [taylor]: Taking taylor expansion of n in n
46.530 * [backup-simplify]: Simplify 0 into 0
46.530 * [backup-simplify]: Simplify 1 into 1
46.531 * [backup-simplify]: Simplify (* (cbrt 2) (cbrt 2)) into (pow (cbrt 2) 2)
46.533 * [backup-simplify]: Simplify (* (cbrt 2) (pow (cbrt 2) 2)) into (pow (cbrt 2) 3)
46.534 * [backup-simplify]: Simplify (* PI (pow (cbrt 2) 3)) into (* 2 PI)
46.536 * [backup-simplify]: Simplify (/ (* 2 PI) 1) into (* 2 PI)
46.537 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.537 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
46.537 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
46.537 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
46.538 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
46.539 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
46.540 * [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)))))
46.540 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
46.540 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
46.540 * [taylor]: Taking taylor expansion of 1/4 in k
46.540 * [backup-simplify]: Simplify 1/4 into 1/4
46.540 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
46.541 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
46.541 * [taylor]: Taking taylor expansion of 1 in k
46.541 * [backup-simplify]: Simplify 1 into 1
46.541 * [taylor]: Taking taylor expansion of (/ 1 k) in k
46.541 * [taylor]: Taking taylor expansion of k in k
46.541 * [backup-simplify]: Simplify 0 into 0
46.541 * [backup-simplify]: Simplify 1 into 1
46.541 * [backup-simplify]: Simplify (/ 1 1) into 1
46.541 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
46.541 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
46.541 * [taylor]: Taking taylor expansion of (* 2 PI) in k
46.541 * [taylor]: Taking taylor expansion of 2 in k
46.541 * [backup-simplify]: Simplify 2 into 2
46.541 * [taylor]: Taking taylor expansion of PI in k
46.541 * [backup-simplify]: Simplify PI into PI
46.542 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
46.543 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
46.543 * [taylor]: Taking taylor expansion of (log n) in k
46.543 * [taylor]: Taking taylor expansion of n in k
46.543 * [backup-simplify]: Simplify n into n
46.543 * [backup-simplify]: Simplify (log n) into (log n)
46.543 * [backup-simplify]: Simplify (- 1) into -1
46.544 * [backup-simplify]: Simplify (+ 0 -1) into -1
46.544 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
46.545 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
46.546 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
46.547 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
46.548 * [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)))))
46.549 * [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)))))
46.550 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (* 0 (cbrt 2))) into 0
46.551 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (* 0 (pow (cbrt 2) 2))) into 0
46.552 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (pow (cbrt 2) 3))) into 0
46.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 2 PI) (/ 0 1)))) into 0
46.555 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
46.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
46.556 * [backup-simplify]: Simplify (- 0) into 0
46.556 * [backup-simplify]: Simplify (+ 0 0) into 0
46.557 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
46.558 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
46.559 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
46.561 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
46.561 * [taylor]: Taking taylor expansion of 0 in k
46.561 * [backup-simplify]: Simplify 0 into 0
46.561 * [backup-simplify]: Simplify 0 into 0
46.561 * [backup-simplify]: Simplify 0 into 0
46.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
46.563 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0
46.565 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 2)))) into 0
46.566 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 3)))) into 0
46.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 2 PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.571 * [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
46.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
46.572 * [backup-simplify]: Simplify (- 0) into 0
46.572 * [backup-simplify]: Simplify (+ 0 0) into 0
46.573 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
46.574 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
46.576 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
46.578 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.578 * [taylor]: Taking taylor expansion of 0 in k
46.578 * [backup-simplify]: Simplify 0 into 0
46.578 * [backup-simplify]: Simplify 0 into 0
46.578 * [backup-simplify]: Simplify 0 into 0
46.578 * [backup-simplify]: Simplify 0 into 0
46.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
46.581 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))) into 0
46.582 * [backup-simplify]: Simplify (+ (* (cbrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 2))))) into 0
46.584 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 2) 3))))) into 0
46.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 2 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.589 * [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
46.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
46.590 * [backup-simplify]: Simplify (- 0) into 0
46.590 * [backup-simplify]: Simplify (+ 0 0) into 0
46.593 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
46.594 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
46.595 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
46.597 * [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
46.597 * [taylor]: Taking taylor expansion of 0 in k
46.597 * [backup-simplify]: Simplify 0 into 0
46.597 * [backup-simplify]: Simplify 0 into 0
46.598 * [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))))))
46.599 * [backup-simplify]: Simplify (pow (* (* (cbrt (* (/ 1 (- n)) (* 2 PI))) (cbrt (* (/ 1 (- n)) (* 2 PI)))) (cbrt (* (/ 1 (- n)) (* 2 PI)))) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (/ (* (pow (cbrt -2) 3) PI) n) (* 1/4 (+ (/ 1 k) 1)))
46.599 * [approximate]: Taking taylor expansion of (pow (/ (* (pow (cbrt -2) 3) PI) n) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
46.599 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (cbrt -2) 3) PI) n) (* 1/4 (+ (/ 1 k) 1))) in k
46.599 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ (* (pow (cbrt -2) 3) PI) n)))) in k
46.599 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ (* (pow (cbrt -2) 3) PI) n))) in k
46.599 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
46.599 * [taylor]: Taking taylor expansion of 1/4 in k
46.599 * [backup-simplify]: Simplify 1/4 into 1/4
46.599 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
46.599 * [taylor]: Taking taylor expansion of (/ 1 k) in k
46.599 * [taylor]: Taking taylor expansion of k in k
46.599 * [backup-simplify]: Simplify 0 into 0
46.599 * [backup-simplify]: Simplify 1 into 1
46.599 * [backup-simplify]: Simplify (/ 1 1) into 1
46.599 * [taylor]: Taking taylor expansion of 1 in k
46.599 * [backup-simplify]: Simplify 1 into 1
46.599 * [taylor]: Taking taylor expansion of (log (/ (* (pow (cbrt -2) 3) PI) n)) in k
46.599 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -2) 3) PI) n) in k
46.599 * [taylor]: Taking taylor expansion of (* (pow (cbrt -2) 3) PI) in k
46.599 * [taylor]: Taking taylor expansion of (pow (cbrt -2) 3) in k
46.599 * [taylor]: Taking taylor expansion of (cbrt -2) in k
46.599 * [taylor]: Taking taylor expansion of -2 in k
46.599 * [backup-simplify]: Simplify -2 into -2
46.600 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
46.600 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
46.600 * [taylor]: Taking taylor expansion of PI in k
46.600 * [backup-simplify]: Simplify PI into PI
46.600 * [taylor]: Taking taylor expansion of n in k
46.600 * [backup-simplify]: Simplify n into n
46.601 * [backup-simplify]: Simplify (* (cbrt -2) (cbrt -2)) into (pow (cbrt -2) 2)
46.602 * [backup-simplify]: Simplify (* (cbrt -2) (pow (cbrt -2) 2)) into (pow (cbrt -2) 3)
46.603 * [backup-simplify]: Simplify (* (pow (cbrt -2) 3) PI) into (* -2 PI)
46.603 * [backup-simplify]: Simplify (/ (* -2 PI) n) into (* -2 (/ PI n))
46.604 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
46.604 * [backup-simplify]: Simplify (+ 1 0) into 1
46.604 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
46.604 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
46.605 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ (* (pow (cbrt -2) 3) PI) n)))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
46.605 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (cbrt -2) 3) PI) n) (* 1/4 (+ (/ 1 k) 1))) in n
46.605 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ (* (pow (cbrt -2) 3) PI) n)))) in n
46.605 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ (* (pow (cbrt -2) 3) PI) n))) in n
46.605 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
46.605 * [taylor]: Taking taylor expansion of 1/4 in n
46.605 * [backup-simplify]: Simplify 1/4 into 1/4
46.605 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
46.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n
46.605 * [taylor]: Taking taylor expansion of k in n
46.605 * [backup-simplify]: Simplify k into k
46.605 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
46.605 * [taylor]: Taking taylor expansion of 1 in n
46.606 * [backup-simplify]: Simplify 1 into 1
46.606 * [taylor]: Taking taylor expansion of (log (/ (* (pow (cbrt -2) 3) PI) n)) in n
46.606 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -2) 3) PI) n) in n
46.606 * [taylor]: Taking taylor expansion of (* (pow (cbrt -2) 3) PI) in n
46.606 * [taylor]: Taking taylor expansion of (pow (cbrt -2) 3) in n
46.606 * [taylor]: Taking taylor expansion of (cbrt -2) in n
46.606 * [taylor]: Taking taylor expansion of -2 in n
46.606 * [backup-simplify]: Simplify -2 into -2
46.606 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
46.606 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
46.606 * [taylor]: Taking taylor expansion of PI in n
46.606 * [backup-simplify]: Simplify PI into PI
46.606 * [taylor]: Taking taylor expansion of n in n
46.606 * [backup-simplify]: Simplify 0 into 0
46.606 * [backup-simplify]: Simplify 1 into 1
46.608 * [backup-simplify]: Simplify (* (cbrt -2) (cbrt -2)) into (pow (cbrt -2) 2)
46.609 * [backup-simplify]: Simplify (* (cbrt -2) (pow (cbrt -2) 2)) into (pow (cbrt -2) 3)
46.610 * [backup-simplify]: Simplify (* (pow (cbrt -2) 3) PI) into (* -2 PI)
46.610 * [backup-simplify]: Simplify (/ (* -2 PI) 1) into (* -2 PI)
46.611 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
46.611 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
46.611 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
46.612 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.613 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
46.613 * [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)))))
46.613 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (cbrt -2) 3) PI) n) (* 1/4 (+ (/ 1 k) 1))) in n
46.613 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (/ (* (pow (cbrt -2) 3) PI) n)))) in n
46.613 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (/ (* (pow (cbrt -2) 3) PI) n))) in n
46.613 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
46.613 * [taylor]: Taking taylor expansion of 1/4 in n
46.613 * [backup-simplify]: Simplify 1/4 into 1/4
46.613 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
46.613 * [taylor]: Taking taylor expansion of (/ 1 k) in n
46.613 * [taylor]: Taking taylor expansion of k in n
46.613 * [backup-simplify]: Simplify k into k
46.613 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
46.613 * [taylor]: Taking taylor expansion of 1 in n
46.613 * [backup-simplify]: Simplify 1 into 1
46.613 * [taylor]: Taking taylor expansion of (log (/ (* (pow (cbrt -2) 3) PI) n)) in n
46.613 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -2) 3) PI) n) in n
46.614 * [taylor]: Taking taylor expansion of (* (pow (cbrt -2) 3) PI) in n
46.614 * [taylor]: Taking taylor expansion of (pow (cbrt -2) 3) in n
46.614 * [taylor]: Taking taylor expansion of (cbrt -2) in n
46.614 * [taylor]: Taking taylor expansion of -2 in n
46.614 * [backup-simplify]: Simplify -2 into -2
46.614 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
46.614 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
46.614 * [taylor]: Taking taylor expansion of PI in n
46.614 * [backup-simplify]: Simplify PI into PI
46.614 * [taylor]: Taking taylor expansion of n in n
46.614 * [backup-simplify]: Simplify 0 into 0
46.614 * [backup-simplify]: Simplify 1 into 1
46.615 * [backup-simplify]: Simplify (* (cbrt -2) (cbrt -2)) into (pow (cbrt -2) 2)
46.616 * [backup-simplify]: Simplify (* (cbrt -2) (pow (cbrt -2) 2)) into (pow (cbrt -2) 3)
46.617 * [backup-simplify]: Simplify (* (pow (cbrt -2) 3) PI) into (* -2 PI)
46.618 * [backup-simplify]: Simplify (/ (* -2 PI) 1) into (* -2 PI)
46.619 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
46.619 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
46.619 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
46.620 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.620 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
46.621 * [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)))))
46.622 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
46.622 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
46.622 * [taylor]: Taking taylor expansion of 1/4 in k
46.622 * [backup-simplify]: Simplify 1/4 into 1/4
46.622 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
46.622 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
46.622 * [taylor]: Taking taylor expansion of (/ 1 k) in k
46.622 * [taylor]: Taking taylor expansion of k in k
46.622 * [backup-simplify]: Simplify 0 into 0
46.622 * [backup-simplify]: Simplify 1 into 1
46.622 * [backup-simplify]: Simplify (/ 1 1) into 1
46.622 * [taylor]: Taking taylor expansion of 1 in k
46.622 * [backup-simplify]: Simplify 1 into 1
46.622 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
46.622 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
46.622 * [taylor]: Taking taylor expansion of (* -2 PI) in k
46.622 * [taylor]: Taking taylor expansion of -2 in k
46.622 * [backup-simplify]: Simplify -2 into -2
46.622 * [taylor]: Taking taylor expansion of PI in k
46.622 * [backup-simplify]: Simplify PI into PI
46.623 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
46.624 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
46.624 * [taylor]: Taking taylor expansion of (log n) in k
46.624 * [taylor]: Taking taylor expansion of n in k
46.624 * [backup-simplify]: Simplify n into n
46.624 * [backup-simplify]: Simplify (log n) into (log n)
46.624 * [backup-simplify]: Simplify (+ 1 0) into 1
46.624 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
46.625 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
46.626 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
46.628 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
46.629 * [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)))))
46.630 * [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)))))
46.631 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (cbrt -2))) into 0
46.632 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (pow (cbrt -2) 2))) into 0
46.633 * [backup-simplify]: Simplify (+ (* (pow (cbrt -2) 3) 0) (* 0 PI)) into 0
46.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -2 PI) (/ 0 1)))) into 0
46.636 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
46.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
46.636 * [backup-simplify]: Simplify (+ 0 0) into 0
46.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
46.638 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.638 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
46.639 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
46.639 * [taylor]: Taking taylor expansion of 0 in k
46.639 * [backup-simplify]: Simplify 0 into 0
46.639 * [backup-simplify]: Simplify 0 into 0
46.639 * [backup-simplify]: Simplify 0 into 0
46.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
46.641 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (* 0 (cbrt -2)))) into 0
46.642 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (* 0 (pow (cbrt -2) 2)))) into 0
46.642 * [backup-simplify]: Simplify (+ (* (pow (cbrt -2) 3) 0) (+ (* 0 0) (* 0 PI))) into 0
46.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -2 PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.645 * [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
46.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
46.645 * [backup-simplify]: Simplify (+ 0 0) into 0
46.646 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
46.646 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.647 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
46.649 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.649 * [taylor]: Taking taylor expansion of 0 in k
46.649 * [backup-simplify]: Simplify 0 into 0
46.649 * [backup-simplify]: Simplify 0 into 0
46.649 * [backup-simplify]: Simplify 0 into 0
46.649 * [backup-simplify]: Simplify 0 into 0
46.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -2))) into 0
46.651 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -2))))) into 0
46.651 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -2) 2))))) into 0
46.652 * [backup-simplify]: Simplify (+ (* (pow (cbrt -2) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
46.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -2 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.656 * [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
46.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
46.657 * [backup-simplify]: Simplify (+ 0 0) into 0
46.657 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
46.658 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.659 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
46.661 * [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
46.661 * [taylor]: Taking taylor expansion of 0 in k
46.661 * [backup-simplify]: Simplify 0 into 0
46.661 * [backup-simplify]: Simplify 0 into 0
46.661 * [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))))))
46.661 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2)
46.662 * [backup-simplify]: Simplify (cbrt (* n (* 2 PI))) into (* (pow (* PI n) 1/3) (cbrt 2))
46.662 * [approximate]: Taking taylor expansion of (* (pow (* PI n) 1/3) (cbrt 2)) in (n) around 0
46.662 * [taylor]: Taking taylor expansion of (* (pow (* PI n) 1/3) (cbrt 2)) in n
46.662 * [taylor]: Taking taylor expansion of (pow (* PI n) 1/3) in n
46.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* PI n)))) in n
46.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (* PI n))) in n
46.662 * [taylor]: Taking taylor expansion of 1/3 in n
46.662 * [backup-simplify]: Simplify 1/3 into 1/3
46.662 * [taylor]: Taking taylor expansion of (log (* PI n)) in n
46.662 * [taylor]: Taking taylor expansion of (* PI n) in n
46.662 * [taylor]: Taking taylor expansion of PI in n
46.662 * [backup-simplify]: Simplify PI into PI
46.662 * [taylor]: Taking taylor expansion of n in n
46.662 * [backup-simplify]: Simplify 0 into 0
46.662 * [backup-simplify]: Simplify 1 into 1
46.662 * [backup-simplify]: Simplify (* PI 0) into 0
46.663 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
46.663 * [backup-simplify]: Simplify (log PI) into (log PI)
46.664 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
46.664 * [backup-simplify]: Simplify (* 1/3 (+ (log PI) (log n))) into (* 1/3 (+ (log PI) (log n)))
46.665 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log PI) (log n)))) into (exp (* 1/3 (+ (log PI) (log n))))
46.665 * [taylor]: Taking taylor expansion of (cbrt 2) in n
46.665 * [taylor]: Taking taylor expansion of 2 in n
46.665 * [backup-simplify]: Simplify 2 into 2
46.665 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
46.666 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
46.666 * [taylor]: Taking taylor expansion of (* (pow (* PI n) 1/3) (cbrt 2)) in n
46.666 * [taylor]: Taking taylor expansion of (pow (* PI n) 1/3) in n
46.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* PI n)))) in n
46.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (* PI n))) in n
46.666 * [taylor]: Taking taylor expansion of 1/3 in n
46.666 * [backup-simplify]: Simplify 1/3 into 1/3
46.666 * [taylor]: Taking taylor expansion of (log (* PI n)) in n
46.666 * [taylor]: Taking taylor expansion of (* PI n) in n
46.666 * [taylor]: Taking taylor expansion of PI in n
46.666 * [backup-simplify]: Simplify PI into PI
46.666 * [taylor]: Taking taylor expansion of n in n
46.666 * [backup-simplify]: Simplify 0 into 0
46.666 * [backup-simplify]: Simplify 1 into 1
46.667 * [backup-simplify]: Simplify (* PI 0) into 0
46.668 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
46.668 * [backup-simplify]: Simplify (log PI) into (log PI)
46.669 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
46.670 * [backup-simplify]: Simplify (* 1/3 (+ (log PI) (log n))) into (* 1/3 (+ (log PI) (log n)))
46.670 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log PI) (log n)))) into (exp (* 1/3 (+ (log PI) (log n))))
46.670 * [taylor]: Taking taylor expansion of (cbrt 2) in n
46.670 * [taylor]: Taking taylor expansion of 2 in n
46.670 * [backup-simplify]: Simplify 2 into 2
46.671 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
46.671 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
46.672 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (cbrt 2)) into (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
46.673 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n))))) into (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
46.674 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
46.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
46.676 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
46.677 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log PI) (log n)))) into 0
46.678 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
46.679 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (* 0 (cbrt 2))) into 0
46.679 * [backup-simplify]: Simplify 0 into 0
46.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
46.681 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
46.683 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
46.683 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
46.684 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))) into 0
46.685 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.686 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0
46.686 * [backup-simplify]: Simplify 0 into 0
46.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
46.687 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
46.692 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
46.693 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
46.694 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n)))))) into 0
46.695 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
46.696 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))) into 0
46.696 * [backup-simplify]: Simplify 0 into 0
46.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
46.698 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
46.704 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
46.705 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
46.706 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))))) into 0
46.708 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.709 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2)))))) into 0
46.709 * [backup-simplify]: Simplify 0 into 0
46.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
46.710 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
46.720 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0
46.721 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
46.724 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n)))))))) into 0
46.729 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
46.731 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))))) into 0
46.731 * [backup-simplify]: Simplify 0 into 0
46.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
46.735 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
46.767 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0
46.767 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
46.769 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))))))) into 0
46.772 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.773 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2)))))))) into 0
46.773 * [backup-simplify]: Simplify 0 into 0
46.774 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n))))) into (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
46.774 * [backup-simplify]: Simplify (cbrt (* (/ 1 n) (* 2 PI))) into (* (pow (/ PI n) 1/3) (cbrt 2))
46.774 * [approximate]: Taking taylor expansion of (* (pow (/ PI n) 1/3) (cbrt 2)) in (n) around 0
46.774 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) 1/3) (cbrt 2)) in n
46.774 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
46.774 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
46.774 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
46.774 * [taylor]: Taking taylor expansion of 1/3 in n
46.774 * [backup-simplify]: Simplify 1/3 into 1/3
46.774 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
46.774 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.774 * [taylor]: Taking taylor expansion of PI in n
46.774 * [backup-simplify]: Simplify PI into PI
46.774 * [taylor]: Taking taylor expansion of n in n
46.774 * [backup-simplify]: Simplify 0 into 0
46.774 * [backup-simplify]: Simplify 1 into 1
46.775 * [backup-simplify]: Simplify (/ PI 1) into PI
46.775 * [backup-simplify]: Simplify (log PI) into (log PI)
46.775 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.776 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
46.776 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
46.776 * [taylor]: Taking taylor expansion of (cbrt 2) in n
46.776 * [taylor]: Taking taylor expansion of 2 in n
46.776 * [backup-simplify]: Simplify 2 into 2
46.776 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
46.777 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
46.777 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) 1/3) (cbrt 2)) in n
46.777 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
46.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
46.777 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
46.777 * [taylor]: Taking taylor expansion of 1/3 in n
46.777 * [backup-simplify]: Simplify 1/3 into 1/3
46.777 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
46.777 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.777 * [taylor]: Taking taylor expansion of PI in n
46.777 * [backup-simplify]: Simplify PI into PI
46.777 * [taylor]: Taking taylor expansion of n in n
46.777 * [backup-simplify]: Simplify 0 into 0
46.777 * [backup-simplify]: Simplify 1 into 1
46.777 * [backup-simplify]: Simplify (/ PI 1) into PI
46.778 * [backup-simplify]: Simplify (log PI) into (log PI)
46.778 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.778 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
46.779 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
46.779 * [taylor]: Taking taylor expansion of (cbrt 2) in n
46.779 * [taylor]: Taking taylor expansion of 2 in n
46.779 * [backup-simplify]: Simplify 2 into 2
46.779 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
46.779 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
46.780 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (cbrt 2)) into (* (cbrt 2) (exp (* 1/3 (- (log PI) (log n)))))
46.780 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (- (log PI) (log n))))) into (* (cbrt 2) (exp (* 1/3 (- (log PI) (log n)))))
46.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
46.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
46.782 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.783 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log PI) (log n)))) into 0
46.783 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
46.784 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (* 0 (cbrt 2))) into 0
46.784 * [backup-simplify]: Simplify 0 into 0
46.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
46.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
46.787 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.788 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0
46.789 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.790 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0
46.790 * [backup-simplify]: Simplify 0 into 0
46.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
46.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.794 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
46.794 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.798 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))) into 0
46.801 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
46.802 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))) into 0
46.802 * [backup-simplify]: Simplify 0 into 0
46.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
46.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.812 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
46.813 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.814 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))) into 0
46.816 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.817 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2)))))) into 0
46.817 * [backup-simplify]: Simplify 0 into 0
46.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
46.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.828 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0
46.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.830 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))))) into 0
46.832 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
46.833 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))))) into 0
46.833 * [backup-simplify]: Simplify 0 into 0
46.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
46.835 * [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
46.861 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0
46.862 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.865 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))))) into 0
46.872 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.874 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2)))))))) into 0
46.874 * [backup-simplify]: Simplify 0 into 0
46.875 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (- (log PI) (log (/ 1 n)))))) into (* (exp (* 1/3 (- (log PI) (log (/ 1 n))))) (cbrt 2))
46.876 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- n)) (* 2 PI))) into (* (cbrt -2) (pow (/ PI n) 1/3))
46.876 * [approximate]: Taking taylor expansion of (* (cbrt -2) (pow (/ PI n) 1/3)) in (n) around 0
46.876 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ PI n) 1/3)) in n
46.876 * [taylor]: Taking taylor expansion of (cbrt -2) in n
46.876 * [taylor]: Taking taylor expansion of -2 in n
46.876 * [backup-simplify]: Simplify -2 into -2
46.876 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
46.877 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
46.877 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
46.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
46.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
46.877 * [taylor]: Taking taylor expansion of 1/3 in n
46.877 * [backup-simplify]: Simplify 1/3 into 1/3
46.877 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
46.877 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.877 * [taylor]: Taking taylor expansion of PI in n
46.877 * [backup-simplify]: Simplify PI into PI
46.877 * [taylor]: Taking taylor expansion of n in n
46.878 * [backup-simplify]: Simplify 0 into 0
46.878 * [backup-simplify]: Simplify 1 into 1
46.878 * [backup-simplify]: Simplify (/ PI 1) into PI
46.878 * [backup-simplify]: Simplify (log PI) into (log PI)
46.879 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.880 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
46.880 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
46.880 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ PI n) 1/3)) in n
46.880 * [taylor]: Taking taylor expansion of (cbrt -2) in n
46.880 * [taylor]: Taking taylor expansion of -2 in n
46.880 * [backup-simplify]: Simplify -2 into -2
46.881 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
46.882 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
46.882 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
46.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
46.882 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
46.882 * [taylor]: Taking taylor expansion of 1/3 in n
46.882 * [backup-simplify]: Simplify 1/3 into 1/3
46.882 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
46.882 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.882 * [taylor]: Taking taylor expansion of PI in n
46.882 * [backup-simplify]: Simplify PI into PI
46.882 * [taylor]: Taking taylor expansion of n in n
46.882 * [backup-simplify]: Simplify 0 into 0
46.882 * [backup-simplify]: Simplify 1 into 1
46.883 * [backup-simplify]: Simplify (/ PI 1) into PI
46.883 * [backup-simplify]: Simplify (log PI) into (log PI)
46.884 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.884 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
46.885 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
46.886 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n))))) into (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n)))))
46.887 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n))))) into (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n)))))
46.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
46.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
46.890 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.891 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log PI) (log n)))) into 0
46.892 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
46.893 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (exp (* 1/3 (- (log PI) (log n)))))) into 0
46.893 * [backup-simplify]: Simplify 0 into 0
46.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.898 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
46.899 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.900 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0
46.901 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
46.903 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n))))))) into 0
46.903 * [backup-simplify]: Simplify 0 into 0
46.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.906 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
46.907 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.908 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))) into 0
46.910 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
46.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -2))) into 0
46.914 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n)))))))) into 0
46.914 * [backup-simplify]: Simplify 0 into 0
46.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.921 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
46.922 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.923 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))) into 0
46.925 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
46.928 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n))))))))) into 0
46.928 * [backup-simplify]: Simplify 0 into 0
46.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.939 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0
46.940 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.941 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))))) into 0
46.943 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
46.944 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -2))) into 0
46.947 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n)))))))))) into 0
46.947 * [backup-simplify]: Simplify 0 into 0
46.948 * [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
46.979 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0
46.980 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
46.982 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))))) into 0
46.985 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
46.988 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n))))))))))) into 0
46.988 * [backup-simplify]: Simplify 0 into 0
46.988 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ 1 (- n))))))) into (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ -1 n))))))
46.988 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2)
46.989 * [backup-simplify]: Simplify (cbrt (* n (* 2 PI))) into (* (pow (* PI n) 1/3) (cbrt 2))
46.989 * [approximate]: Taking taylor expansion of (* (pow (* PI n) 1/3) (cbrt 2)) in (n) around 0
46.989 * [taylor]: Taking taylor expansion of (* (pow (* PI n) 1/3) (cbrt 2)) in n
46.989 * [taylor]: Taking taylor expansion of (pow (* PI n) 1/3) in n
46.989 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* PI n)))) in n
46.989 * [taylor]: Taking taylor expansion of (* 1/3 (log (* PI n))) in n
46.989 * [taylor]: Taking taylor expansion of 1/3 in n
46.989 * [backup-simplify]: Simplify 1/3 into 1/3
46.989 * [taylor]: Taking taylor expansion of (log (* PI n)) in n
46.989 * [taylor]: Taking taylor expansion of (* PI n) in n
46.989 * [taylor]: Taking taylor expansion of PI in n
46.989 * [backup-simplify]: Simplify PI into PI
46.989 * [taylor]: Taking taylor expansion of n in n
46.989 * [backup-simplify]: Simplify 0 into 0
46.989 * [backup-simplify]: Simplify 1 into 1
46.989 * [backup-simplify]: Simplify (* PI 0) into 0
46.990 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
46.990 * [backup-simplify]: Simplify (log PI) into (log PI)
46.991 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
46.991 * [backup-simplify]: Simplify (* 1/3 (+ (log PI) (log n))) into (* 1/3 (+ (log PI) (log n)))
46.991 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log PI) (log n)))) into (exp (* 1/3 (+ (log PI) (log n))))
46.991 * [taylor]: Taking taylor expansion of (cbrt 2) in n
46.991 * [taylor]: Taking taylor expansion of 2 in n
46.991 * [backup-simplify]: Simplify 2 into 2
46.992 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
46.992 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
46.992 * [taylor]: Taking taylor expansion of (* (pow (* PI n) 1/3) (cbrt 2)) in n
46.992 * [taylor]: Taking taylor expansion of (pow (* PI n) 1/3) in n
46.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* PI n)))) in n
46.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (* PI n))) in n
46.992 * [taylor]: Taking taylor expansion of 1/3 in n
46.992 * [backup-simplify]: Simplify 1/3 into 1/3
46.992 * [taylor]: Taking taylor expansion of (log (* PI n)) in n
46.992 * [taylor]: Taking taylor expansion of (* PI n) in n
46.992 * [taylor]: Taking taylor expansion of PI in n
46.992 * [backup-simplify]: Simplify PI into PI
46.992 * [taylor]: Taking taylor expansion of n in n
46.992 * [backup-simplify]: Simplify 0 into 0
46.992 * [backup-simplify]: Simplify 1 into 1
46.993 * [backup-simplify]: Simplify (* PI 0) into 0
46.993 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI
46.994 * [backup-simplify]: Simplify (log PI) into (log PI)
46.994 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
46.994 * [backup-simplify]: Simplify (* 1/3 (+ (log PI) (log n))) into (* 1/3 (+ (log PI) (log n)))
46.995 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log PI) (log n)))) into (exp (* 1/3 (+ (log PI) (log n))))
46.995 * [taylor]: Taking taylor expansion of (cbrt 2) in n
46.995 * [taylor]: Taking taylor expansion of 2 in n
46.995 * [backup-simplify]: Simplify 2 into 2
46.995 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
46.995 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
46.996 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (cbrt 2)) into (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
46.997 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n))))) into (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
46.997 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
46.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
46.998 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
46.999 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log PI) (log n)))) into 0
47.000 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.000 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (* 0 (cbrt 2))) into 0
47.000 * [backup-simplify]: Simplify 0 into 0
47.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
47.002 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
47.003 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
47.004 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
47.005 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))) into 0
47.006 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.008 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0
47.008 * [backup-simplify]: Simplify 0 into 0
47.009 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
47.010 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
47.019 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
47.020 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
47.022 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n)))))) into 0
47.024 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
47.025 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))) into 0
47.025 * [backup-simplify]: Simplify 0 into 0
47.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
47.028 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
47.039 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
47.040 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
47.041 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))))) into 0
47.043 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.044 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2)))))) into 0
47.044 * [backup-simplify]: Simplify 0 into 0
47.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
47.045 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
47.055 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0
47.056 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
47.057 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n)))))))) into 0
47.059 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
47.060 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))))) into 0
47.060 * [backup-simplify]: Simplify 0 into 0
47.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
47.062 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
47.080 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0
47.081 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n))
47.083 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))))))) into 0
47.089 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log PI) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.091 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2)))))))) into 0
47.091 * [backup-simplify]: Simplify 0 into 0
47.092 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n))))) into (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
47.093 * [backup-simplify]: Simplify (cbrt (* (/ 1 n) (* 2 PI))) into (* (pow (/ PI n) 1/3) (cbrt 2))
47.093 * [approximate]: Taking taylor expansion of (* (pow (/ PI n) 1/3) (cbrt 2)) in (n) around 0
47.093 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) 1/3) (cbrt 2)) in n
47.093 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
47.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
47.093 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
47.093 * [taylor]: Taking taylor expansion of 1/3 in n
47.093 * [backup-simplify]: Simplify 1/3 into 1/3
47.093 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
47.093 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.093 * [taylor]: Taking taylor expansion of PI in n
47.093 * [backup-simplify]: Simplify PI into PI
47.093 * [taylor]: Taking taylor expansion of n in n
47.093 * [backup-simplify]: Simplify 0 into 0
47.093 * [backup-simplify]: Simplify 1 into 1
47.093 * [backup-simplify]: Simplify (/ PI 1) into PI
47.094 * [backup-simplify]: Simplify (log PI) into (log PI)
47.095 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.095 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
47.095 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
47.095 * [taylor]: Taking taylor expansion of (cbrt 2) in n
47.096 * [taylor]: Taking taylor expansion of 2 in n
47.096 * [backup-simplify]: Simplify 2 into 2
47.096 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
47.096 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
47.097 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) 1/3) (cbrt 2)) in n
47.097 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
47.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
47.097 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
47.097 * [taylor]: Taking taylor expansion of 1/3 in n
47.097 * [backup-simplify]: Simplify 1/3 into 1/3
47.097 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
47.097 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.097 * [taylor]: Taking taylor expansion of PI in n
47.097 * [backup-simplify]: Simplify PI into PI
47.097 * [taylor]: Taking taylor expansion of n in n
47.097 * [backup-simplify]: Simplify 0 into 0
47.097 * [backup-simplify]: Simplify 1 into 1
47.097 * [backup-simplify]: Simplify (/ PI 1) into PI
47.097 * [backup-simplify]: Simplify (log PI) into (log PI)
47.098 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.098 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
47.098 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
47.098 * [taylor]: Taking taylor expansion of (cbrt 2) in n
47.098 * [taylor]: Taking taylor expansion of 2 in n
47.098 * [backup-simplify]: Simplify 2 into 2
47.099 * [backup-simplify]: Simplify (cbrt 2) into (cbrt 2)
47.099 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 2))) into 0
47.100 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (cbrt 2)) into (* (cbrt 2) (exp (* 1/3 (- (log PI) (log n)))))
47.100 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (- (log PI) (log n))))) into (* (cbrt 2) (exp (* 1/3 (- (log PI) (log n)))))
47.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.101 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
47.102 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.102 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log PI) (log n)))) into 0
47.103 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.104 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (* 0 (cbrt 2))) into 0
47.104 * [backup-simplify]: Simplify 0 into 0
47.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
47.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.107 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
47.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.108 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0
47.109 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.110 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (* 0 (cbrt 2)))) into 0
47.110 * [backup-simplify]: Simplify 0 into 0
47.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
47.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.114 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
47.117 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.118 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))) into 0
47.119 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
47.120 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))) into 0
47.120 * [backup-simplify]: Simplify 0 into 0
47.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
47.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.128 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
47.129 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.130 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))) into 0
47.132 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.133 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2)))))) into 0
47.133 * [backup-simplify]: Simplify 0 into 0
47.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 2))) into 0
47.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.154 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0
47.155 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.158 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))))) into 0
47.161 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
47.162 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2))))))) into 0
47.162 * [backup-simplify]: Simplify 0 into 0
47.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 2))))) (* 3 (cbrt 2))) into 0
47.164 * [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
47.181 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0
47.182 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.183 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))))) into 0
47.187 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.188 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (log PI) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 2)))))))) into 0
47.188 * [backup-simplify]: Simplify 0 into 0
47.188 * [backup-simplify]: Simplify (* (cbrt 2) (exp (* 1/3 (- (log PI) (log (/ 1 n)))))) into (* (exp (* 1/3 (- (log PI) (log (/ 1 n))))) (cbrt 2))
47.189 * [backup-simplify]: Simplify (cbrt (* (/ 1 (- n)) (* 2 PI))) into (* (cbrt -2) (pow (/ PI n) 1/3))
47.189 * [approximate]: Taking taylor expansion of (* (cbrt -2) (pow (/ PI n) 1/3)) in (n) around 0
47.189 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ PI n) 1/3)) in n
47.189 * [taylor]: Taking taylor expansion of (cbrt -2) in n
47.189 * [taylor]: Taking taylor expansion of -2 in n
47.189 * [backup-simplify]: Simplify -2 into -2
47.189 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
47.190 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
47.190 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
47.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
47.190 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
47.190 * [taylor]: Taking taylor expansion of 1/3 in n
47.190 * [backup-simplify]: Simplify 1/3 into 1/3
47.190 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
47.190 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.190 * [taylor]: Taking taylor expansion of PI in n
47.190 * [backup-simplify]: Simplify PI into PI
47.190 * [taylor]: Taking taylor expansion of n in n
47.190 * [backup-simplify]: Simplify 0 into 0
47.190 * [backup-simplify]: Simplify 1 into 1
47.190 * [backup-simplify]: Simplify (/ PI 1) into PI
47.190 * [backup-simplify]: Simplify (log PI) into (log PI)
47.191 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.191 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
47.192 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
47.192 * [taylor]: Taking taylor expansion of (* (cbrt -2) (pow (/ PI n) 1/3)) in n
47.192 * [taylor]: Taking taylor expansion of (cbrt -2) in n
47.192 * [taylor]: Taking taylor expansion of -2 in n
47.192 * [backup-simplify]: Simplify -2 into -2
47.192 * [backup-simplify]: Simplify (cbrt -2) into (cbrt -2)
47.192 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -2))) into 0
47.192 * [taylor]: Taking taylor expansion of (pow (/ PI n) 1/3) in n
47.192 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ PI n)))) in n
47.192 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ PI n))) in n
47.192 * [taylor]: Taking taylor expansion of 1/3 in n
47.192 * [backup-simplify]: Simplify 1/3 into 1/3
47.193 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n
47.193 * [taylor]: Taking taylor expansion of (/ PI n) in n
47.193 * [taylor]: Taking taylor expansion of PI in n
47.193 * [backup-simplify]: Simplify PI into PI
47.193 * [taylor]: Taking taylor expansion of n in n
47.193 * [backup-simplify]: Simplify 0 into 0
47.193 * [backup-simplify]: Simplify 1 into 1
47.193 * [backup-simplify]: Simplify (/ PI 1) into PI
47.193 * [backup-simplify]: Simplify (log PI) into (log PI)
47.194 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.194 * [backup-simplify]: Simplify (* 1/3 (- (log PI) (log n))) into (* 1/3 (- (log PI) (log n)))
47.194 * [backup-simplify]: Simplify (exp (* 1/3 (- (log PI) (log n)))) into (exp (* 1/3 (- (log PI) (log n))))
47.195 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n))))) into (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n)))))
47.195 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n))))) into (* (cbrt -2) (exp (* 1/3 (- (log PI) (log n)))))
47.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
47.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
47.198 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.199 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log PI) (log n)))) into 0
47.200 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
47.201 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (* 0 (exp (* 1/3 (- (log PI) (log n)))))) into 0
47.201 * [backup-simplify]: Simplify 0 into 0
47.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
47.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.207 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0
47.209 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
47.211 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n))))))) into 0
47.212 * [backup-simplify]: Simplify 0 into 0
47.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.218 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
47.219 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.220 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))) into 0
47.222 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
47.227 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -2))) into 0
47.228 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n)))))))) into 0
47.229 * [backup-simplify]: Simplify 0 into 0
47.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.241 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
47.241 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.243 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))) into 0
47.244 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
47.247 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n))))))))) into 0
47.247 * [backup-simplify]: Simplify 0 into 0
47.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
47.257 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0
47.257 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.259 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))))) into 0
47.262 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
47.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -2))) into 0
47.264 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n)))))))))) into 0
47.264 * [backup-simplify]: Simplify 0 into 0
47.265 * [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
47.286 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0
47.287 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n))
47.289 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))))))) into 0
47.295 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log PI) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
47.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -2))))) (* 3 (cbrt -2))) into 0
47.300 * [backup-simplify]: Simplify (+ (* (cbrt -2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log PI) (log n))))))))))) into 0
47.300 * [backup-simplify]: Simplify 0 into 0
47.302 * [backup-simplify]: Simplify (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ 1 (- n))))))) into (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ -1 n))))))
47.302 * * * [progress]: simplifying candidates
47.302 * * * * [progress]: [ 1 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
47.302 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
47.302 * * [simplify]: iters left: 6 (14 enodes)
47.311 * * [simplify]: iters left: 5 (60 enodes)
47.328 * * [simplify]: iters left: 4 (108 enodes)
47.355 * * [simplify]: iters left: 3 (249 enodes)
47.444 * * [simplify]: Extracting #0: cost 1 inf + 0
47.444 * * [simplify]: Extracting #1: cost 28 inf + 0
47.445 * * [simplify]: Extracting #2: cost 114 inf + 2
47.445 * * [simplify]: Extracting #3: cost 151 inf + 301
47.449 * * [simplify]: Extracting #4: cost 84 inf + 10352
47.454 * * [simplify]: Extracting #5: cost 17 inf + 27228
47.459 * * [simplify]: Extracting #6: cost 0 inf + 31848
47.471 * * [simplify]: Extracting #7: cost 0 inf + 31808
47.483 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))
47.483 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))) (sqrt k))))
47.484 * * * * [progress]: [ 2 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
47.484 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
47.484 * * [simplify]: iters left: 6 (13 enodes)
47.493 * * [simplify]: iters left: 5 (58 enodes)
47.512 * * [simplify]: iters left: 4 (101 enodes)
47.543 * * [simplify]: iters left: 3 (207 enodes)
47.616 * * [simplify]: iters left: 2 (498 enodes)
47.782 * * [simplify]: Extracting #0: cost 1 inf + 0
47.782 * * [simplify]: Extracting #1: cost 58 inf + 0
47.783 * * [simplify]: Extracting #2: cost 205 inf + 4
47.785 * * [simplify]: Extracting #3: cost 244 inf + 1075
47.792 * * [simplify]: Extracting #4: cost 137 inf + 20618
47.807 * * [simplify]: Extracting #5: cost 12 inf + 54441
47.819 * * [simplify]: Extracting #6: cost 0 inf + 58827
47.833 * * [simplify]: Extracting #7: cost 0 inf + 58826
47.850 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)
47.850 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)) (sqrt k))))
47.851 * * * * [progress]: [ 3 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
47.851 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
47.851 * * [simplify]: iters left: 6 (12 enodes)
47.858 * * [simplify]: iters left: 5 (57 enodes)
47.871 * * [simplify]: iters left: 4 (111 enodes)
47.898 * * [simplify]: iters left: 3 (212 enodes)
47.960 * * [simplify]: iters left: 2 (446 enodes)
48.063 * * [simplify]: Extracting #0: cost 1 inf + 0
48.063 * * [simplify]: Extracting #1: cost 34 inf + 0
48.064 * * [simplify]: Extracting #2: cost 143 inf + 4
48.065 * * [simplify]: Extracting #3: cost 200 inf + 396
48.067 * * [simplify]: Extracting #4: cost 133 inf + 9596
48.073 * * [simplify]: Extracting #5: cost 32 inf + 30294
48.085 * * [simplify]: Extracting #6: cost 1 inf + 36989
48.100 * * [simplify]: Extracting #7: cost 0 inf + 37182
48.114 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
48.114 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (sqrt k))))
48.115 * * * * [progress]: [ 4 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
48.115 * * * * [progress]: [ 5 / 220 ] 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 (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
48.115 * [simplify]: Simplifying (* n (* 2 PI))
48.115 * * [simplify]: iters left: 4 (5 enodes)
48.117 * * [simplify]: iters left: 3 (19 enodes)
48.120 * * [simplify]: iters left: 2 (27 enodes)
48.127 * * [simplify]: iters left: 1 (32 enodes)
48.131 * * [simplify]: Extracting #0: cost 1 inf + 0
48.131 * * [simplify]: Extracting #1: cost 8 inf + 0
48.131 * * [simplify]: Extracting #2: cost 7 inf + 45
48.131 * * [simplify]: Extracting #3: cost 0 inf + 421
48.131 * [simplify]: Simplified to (* (* PI 2) n)
48.131 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))
48.132 * * * * [progress]: [ 6 / 220 ] 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 (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
48.132 * [simplify]: Simplifying (* n (* 2 PI))
48.132 * * [simplify]: iters left: 4 (5 enodes)
48.134 * * [simplify]: iters left: 3 (19 enodes)
48.137 * * [simplify]: iters left: 2 (27 enodes)
48.141 * * [simplify]: iters left: 1 (32 enodes)
48.145 * * [simplify]: Extracting #0: cost 1 inf + 0
48.145 * * [simplify]: Extracting #1: cost 8 inf + 0
48.145 * * [simplify]: Extracting #2: cost 7 inf + 45
48.145 * * [simplify]: Extracting #3: cost 0 inf + 421
48.146 * [simplify]: Simplified to (* (* PI 2) n)
48.146 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))
48.146 * * * * [progress]: [ 7 / 220 ] 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 (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
48.146 * [simplify]: Simplifying (* n (* 2 PI))
48.146 * * [simplify]: iters left: 4 (5 enodes)
48.148 * * [simplify]: iters left: 3 (19 enodes)
48.152 * * [simplify]: iters left: 2 (27 enodes)
48.160 * * [simplify]: iters left: 1 (32 enodes)
48.168 * * [simplify]: Extracting #0: cost 1 inf + 0
48.168 * * [simplify]: Extracting #1: cost 8 inf + 0
48.168 * * [simplify]: Extracting #2: cost 7 inf + 45
48.169 * * [simplify]: Extracting #3: cost 0 inf + 421
48.169 * [simplify]: Simplified to (* (* PI 2) n)
48.169 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (sqrt k))))
48.169 * * * * [progress]: [ 8 / 220 ] 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 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (sqrt k))))>
48.170 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
48.170 * * [simplify]: iters left: 5 (9 enodes)
48.173 * * [simplify]: iters left: 4 (37 enodes)
48.179 * * [simplify]: iters left: 3 (57 enodes)
48.188 * * [simplify]: iters left: 2 (93 enodes)
48.206 * * [simplify]: iters left: 1 (170 enodes)
48.249 * * [simplify]: Extracting #0: cost 1 inf + 0
48.249 * * [simplify]: Extracting #1: cost 13 inf + 0
48.249 * * [simplify]: Extracting #2: cost 59 inf + 1
48.249 * * [simplify]: Extracting #3: cost 78 inf + 176
48.250 * * [simplify]: Extracting #4: cost 40 inf + 3875
48.252 * * [simplify]: Extracting #5: cost 7 inf + 16988
48.255 * * [simplify]: Extracting #6: cost 0 inf + 20577
48.258 * * [simplify]: Extracting #7: cost 0 inf + 20336
48.261 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
48.261 * [simplify]: Simplified (2 2 1 2) to (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 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (sqrt k))))
48.261 * * * * [progress]: [ 9 / 220 ] 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 (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
48.261 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
48.261 * * [simplify]: iters left: 6 (7 enodes)
48.264 * * [simplify]: iters left: 5 (32 enodes)
48.270 * * [simplify]: iters left: 4 (47 enodes)
48.278 * * [simplify]: iters left: 3 (53 enodes)
48.291 * * [simplify]: iters left: 2 (60 enodes)
48.307 * * [simplify]: Extracting #0: cost 1 inf + 0
48.307 * * [simplify]: Extracting #1: cost 3 inf + 0
48.308 * * [simplify]: Extracting #2: cost 11 inf + 0
48.308 * * [simplify]: Extracting #3: cost 17 inf + 3
48.308 * * [simplify]: Extracting #4: cost 14 inf + 129
48.308 * * [simplify]: Extracting #5: cost 3 inf + 794
48.309 * * [simplify]: Extracting #6: cost 0 inf + 1162
48.309 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
48.309 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.310 * * * * [progress]: [ 10 / 220 ] 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 (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
48.310 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
48.310 * * [simplify]: iters left: 6 (7 enodes)
48.316 * * [simplify]: iters left: 5 (32 enodes)
48.326 * * [simplify]: iters left: 4 (47 enodes)
48.335 * * [simplify]: iters left: 3 (53 enodes)
48.343 * * [simplify]: iters left: 2 (60 enodes)
48.355 * * [simplify]: Extracting #0: cost 1 inf + 0
48.355 * * [simplify]: Extracting #1: cost 3 inf + 0
48.355 * * [simplify]: Extracting #2: cost 11 inf + 0
48.355 * * [simplify]: Extracting #3: cost 17 inf + 3
48.355 * * [simplify]: Extracting #4: cost 14 inf + 129
48.355 * * [simplify]: Extracting #5: cost 3 inf + 794
48.356 * * [simplify]: Extracting #6: cost 0 inf + 1082
48.356 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
48.357 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.357 * * * * [progress]: [ 11 / 220 ] 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 (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k))))>
48.357 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
48.357 * * [simplify]: iters left: 6 (8 enodes)
48.363 * * [simplify]: iters left: 5 (32 enodes)
48.373 * * [simplify]: iters left: 4 (41 enodes)
48.385 * * [simplify]: Extracting #0: cost 1 inf + 0
48.385 * * [simplify]: Extracting #1: cost 4 inf + 0
48.385 * * [simplify]: Extracting #2: cost 8 inf + 0
48.385 * * [simplify]: Extracting #3: cost 9 inf + 163
48.386 * * [simplify]: Extracting #4: cost 13 inf + 164
48.386 * * [simplify]: Extracting #5: cost 10 inf + 249
48.386 * * [simplify]: Extracting #6: cost 3 inf + 986
48.387 * * [simplify]: Extracting #7: cost 0 inf + 1474
48.387 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
48.387 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.388 * * * * [progress]: [ 12 / 220 ] 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 (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k))))>
48.388 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
48.388 * * [simplify]: iters left: 6 (8 enodes)
48.393 * * [simplify]: iters left: 5 (32 enodes)
48.404 * * [simplify]: iters left: 4 (41 enodes)
48.416 * * [simplify]: Extracting #0: cost 1 inf + 0
48.416 * * [simplify]: Extracting #1: cost 4 inf + 0
48.416 * * [simplify]: Extracting #2: cost 8 inf + 0
48.417 * * [simplify]: Extracting #3: cost 9 inf + 83
48.417 * * [simplify]: Extracting #4: cost 13 inf + 84
48.417 * * [simplify]: Extracting #5: cost 10 inf + 169
48.417 * * [simplify]: Extracting #6: cost 3 inf + 866
48.418 * * [simplify]: Extracting #7: cost 0 inf + 1314
48.418 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
48.418 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.419 * * * * [progress]: [ 13 / 220 ] 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 (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (sqrt k))))>
48.419 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
48.419 * * [simplify]: iters left: 6 (7 enodes)
48.423 * * [simplify]: iters left: 5 (29 enodes)
48.433 * * [simplify]: iters left: 4 (38 enodes)
48.443 * * [simplify]: Extracting #0: cost 1 inf + 0
48.443 * * [simplify]: Extracting #1: cost 4 inf + 0
48.444 * * [simplify]: Extracting #2: cost 5 inf + 1
48.444 * * [simplify]: Extracting #3: cost 9 inf + 1
48.444 * * [simplify]: Extracting #4: cost 13 inf + 2
48.444 * * [simplify]: Extracting #5: cost 12 inf + 4
48.444 * * [simplify]: Extracting #6: cost 2 inf + 746
48.444 * * [simplify]: Extracting #7: cost 0 inf + 1152
48.445 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
48.445 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.445 * * * * [progress]: [ 14 / 220 ] 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 (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt k))))>
48.445 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
48.446 * * [simplify]: iters left: 6 (8 enodes)
48.451 * * [simplify]: iters left: 5 (32 enodes)
48.464 * * [simplify]: iters left: 4 (41 enodes)
48.477 * * [simplify]: Extracting #0: cost 1 inf + 0
48.477 * * [simplify]: Extracting #1: cost 4 inf + 0
48.477 * * [simplify]: Extracting #2: cost 8 inf + 0
48.477 * * [simplify]: Extracting #3: cost 9 inf + 163
48.477 * * [simplify]: Extracting #4: cost 13 inf + 164
48.477 * * [simplify]: Extracting #5: cost 10 inf + 249
48.477 * * [simplify]: Extracting #6: cost 3 inf + 906
48.478 * * [simplify]: Extracting #7: cost 0 inf + 1314
48.478 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
48.478 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.479 * * * * [progress]: [ 15 / 220 ] 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 (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (sqrt k))))>
48.479 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
48.479 * * [simplify]: iters left: 6 (8 enodes)
48.484 * * [simplify]: iters left: 5 (32 enodes)
48.495 * * [simplify]: iters left: 4 (41 enodes)
48.506 * * [simplify]: Extracting #0: cost 1 inf + 0
48.507 * * [simplify]: Extracting #1: cost 4 inf + 0
48.507 * * [simplify]: Extracting #2: cost 8 inf + 0
48.507 * * [simplify]: Extracting #3: cost 9 inf + 83
48.507 * * [simplify]: Extracting #4: cost 13 inf + 84
48.507 * * [simplify]: Extracting #5: cost 10 inf + 169
48.507 * * [simplify]: Extracting #6: cost 3 inf + 786
48.508 * * [simplify]: Extracting #7: cost 0 inf + 1154
48.508 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
48.508 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.509 * * * * [progress]: [ 16 / 220 ] 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 (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (sqrt k))))>
48.509 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
48.509 * * [simplify]: iters left: 6 (7 enodes)
48.513 * * [simplify]: iters left: 5 (29 enodes)
48.523 * * [simplify]: iters left: 4 (38 enodes)
48.534 * * [simplify]: Extracting #0: cost 1 inf + 0
48.534 * * [simplify]: Extracting #1: cost 4 inf + 0
48.534 * * [simplify]: Extracting #2: cost 5 inf + 1
48.534 * * [simplify]: Extracting #3: cost 9 inf + 1
48.534 * * [simplify]: Extracting #4: cost 13 inf + 2
48.535 * * [simplify]: Extracting #5: cost 12 inf + 4
48.535 * * [simplify]: Extracting #6: cost 2 inf + 666
48.535 * * [simplify]: Extracting #7: cost 0 inf + 992
48.536 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
48.536 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.536 * * * * [progress]: [ 17 / 220 ] 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 (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))))>
48.537 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
48.537 * * [simplify]: iters left: 6 (8 enodes)
48.541 * * [simplify]: iters left: 5 (30 enodes)
48.551 * * [simplify]: iters left: 4 (37 enodes)
48.557 * * [simplify]: Extracting #0: cost 1 inf + 0
48.557 * * [simplify]: Extracting #1: cost 6 inf + 0
48.557 * * [simplify]: Extracting #2: cost 12 inf + 0
48.557 * * [simplify]: Extracting #3: cost 11 inf + 405
48.557 * * [simplify]: Extracting #4: cost 10 inf + 407
48.558 * * [simplify]: Extracting #5: cost 4 inf + 1220
48.558 * * [simplify]: Extracting #6: cost 0 inf + 1869
48.558 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
48.558 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.558 * * * * [progress]: [ 18 / 220 ] 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 (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))))>
48.558 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
48.559 * * [simplify]: iters left: 6 (9 enodes)
48.562 * * [simplify]: iters left: 5 (33 enodes)
48.568 * * [simplify]: iters left: 4 (43 enodes)
48.574 * * [simplify]: iters left: 3 (45 enodes)
48.582 * * [simplify]: Extracting #0: cost 1 inf + 0
48.582 * * [simplify]: Extracting #1: cost 8 inf + 0
48.582 * * [simplify]: Extracting #2: cost 16 inf + 0
48.582 * * [simplify]: Extracting #3: cost 16 inf + 284
48.582 * * [simplify]: Extracting #4: cost 11 inf + 610
48.583 * * [simplify]: Extracting #5: cost 8 inf + 815
48.583 * * [simplify]: Extracting #6: cost 0 inf + 2517
48.584 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
48.584 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.584 * * * * [progress]: [ 19 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) (sqrt k))))>
48.585 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
48.585 * * [simplify]: iters left: 6 (8 enodes)
48.592 * * [simplify]: iters left: 5 (30 enodes)
48.603 * * [simplify]: iters left: 4 (40 enodes)
48.615 * * [simplify]: iters left: 3 (42 enodes)
48.624 * * [simplify]: Extracting #0: cost 1 inf + 0
48.624 * * [simplify]: Extracting #1: cost 8 inf + 0
48.624 * * [simplify]: Extracting #2: cost 12 inf + 82
48.624 * * [simplify]: Extracting #3: cost 13 inf + 405
48.624 * * [simplify]: Extracting #4: cost 12 inf + 407
48.624 * * [simplify]: Extracting #5: cost 5 inf + 1383
48.625 * * [simplify]: Extracting #6: cost 0 inf + 2195
48.625 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
48.625 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.625 * * * * [progress]: [ 20 / 220 ] 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 (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))))>
48.625 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
48.625 * * [simplify]: iters left: 6 (9 enodes)
48.628 * * [simplify]: iters left: 5 (33 enodes)
48.634 * * [simplify]: iters left: 4 (43 enodes)
48.640 * * [simplify]: iters left: 3 (45 enodes)
48.654 * * [simplify]: Extracting #0: cost 1 inf + 0
48.654 * * [simplify]: Extracting #1: cost 8 inf + 0
48.654 * * [simplify]: Extracting #2: cost 16 inf + 0
48.655 * * [simplify]: Extracting #3: cost 16 inf + 284
48.655 * * [simplify]: Extracting #4: cost 11 inf + 610
48.655 * * [simplify]: Extracting #5: cost 8 inf + 815
48.656 * * [simplify]: Extracting #6: cost 0 inf + 2517
48.656 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
48.656 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.657 * * * * [progress]: [ 21 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
48.657 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
48.657 * * [simplify]: iters left: 6 (8 enodes)
48.662 * * [simplify]: iters left: 5 (30 enodes)
48.671 * * [simplify]: iters left: 4 (35 enodes)
48.679 * * [simplify]: Extracting #0: cost 1 inf + 0
48.679 * * [simplify]: Extracting #1: cost 6 inf + 0
48.679 * * [simplify]: Extracting #2: cost 8 inf + 42
48.679 * * [simplify]: Extracting #3: cost 11 inf + 83
48.679 * * [simplify]: Extracting #4: cost 10 inf + 85
48.679 * * [simplify]: Extracting #5: cost 4 inf + 658
48.680 * * [simplify]: Extracting #6: cost 0 inf + 1227
48.680 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
48.680 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.680 * * * * [progress]: [ 22 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) (sqrt k))))>
48.680 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
48.680 * * [simplify]: iters left: 6 (8 enodes)
48.683 * * [simplify]: iters left: 5 (30 enodes)
48.687 * * [simplify]: iters left: 4 (40 enodes)
48.693 * * [simplify]: iters left: 3 (42 enodes)
48.699 * * [simplify]: Extracting #0: cost 1 inf + 0
48.699 * * [simplify]: Extracting #1: cost 8 inf + 0
48.699 * * [simplify]: Extracting #2: cost 12 inf + 42
48.699 * * [simplify]: Extracting #3: cost 13 inf + 245
48.699 * * [simplify]: Extracting #4: cost 12 inf + 247
48.699 * * [simplify]: Extracting #5: cost 5 inf + 1143
48.700 * * [simplify]: Extracting #6: cost 0 inf + 1875
48.700 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
48.700 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.700 * * * * [progress]: [ 23 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) (sqrt k))))>
48.700 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
48.700 * * [simplify]: iters left: 6 (8 enodes)
48.704 * * [simplify]: iters left: 5 (30 enodes)
48.709 * * [simplify]: iters left: 4 (40 enodes)
48.718 * * [simplify]: iters left: 3 (42 enodes)
48.730 * * [simplify]: Extracting #0: cost 1 inf + 0
48.730 * * [simplify]: Extracting #1: cost 8 inf + 0
48.730 * * [simplify]: Extracting #2: cost 11 inf + 203
48.730 * * [simplify]: Extracting #3: cost 13 inf + 405
48.731 * * [simplify]: Extracting #4: cost 12 inf + 407
48.731 * * [simplify]: Extracting #5: cost 3 inf + 1789
48.732 * * [simplify]: Extracting #6: cost 0 inf + 2195
48.732 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
48.732 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.733 * * * * [progress]: [ 24 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) (sqrt k))))>
48.733 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
48.733 * * [simplify]: iters left: 6 (8 enodes)
48.737 * * [simplify]: iters left: 5 (30 enodes)
48.746 * * [simplify]: iters left: 4 (40 enodes)
48.756 * * [simplify]: iters left: 3 (42 enodes)
48.767 * * [simplify]: Extracting #0: cost 1 inf + 0
48.767 * * [simplify]: Extracting #1: cost 8 inf + 0
48.767 * * [simplify]: Extracting #2: cost 11 inf + 123
48.767 * * [simplify]: Extracting #3: cost 13 inf + 245
48.767 * * [simplify]: Extracting #4: cost 12 inf + 247
48.768 * * [simplify]: Extracting #5: cost 3 inf + 1509
48.768 * * [simplify]: Extracting #6: cost 0 inf + 1875
48.769 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
48.769 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.769 * * * * [progress]: [ 25 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)) (sqrt k))))>
48.769 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
48.769 * * [simplify]: iters left: 6 (7 enodes)
48.773 * * [simplify]: iters left: 5 (28 enodes)
48.781 * * [simplify]: iters left: 4 (35 enodes)
48.789 * * [simplify]: Extracting #0: cost 1 inf + 0
48.790 * * [simplify]: Extracting #1: cost 6 inf + 0
48.790 * * [simplify]: Extracting #2: cost 7 inf + 2
48.790 * * [simplify]: Extracting #3: cost 11 inf + 2
48.790 * * [simplify]: Extracting #4: cost 9 inf + 45
48.790 * * [simplify]: Extracting #5: cost 4 inf + 455
48.790 * * [simplify]: Extracting #6: cost 0 inf + 1066
48.791 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
48.791 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.791 * * * * [progress]: [ 26 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (sqrt k))))>
48.791 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
48.791 * * [simplify]: iters left: 6 (8 enodes)
48.795 * * [simplify]: iters left: 5 (30 enodes)
48.801 * * [simplify]: iters left: 4 (37 enodes)
48.806 * * [simplify]: Extracting #0: cost 1 inf + 0
48.806 * * [simplify]: Extracting #1: cost 6 inf + 0
48.806 * * [simplify]: Extracting #2: cost 12 inf + 0
48.807 * * [simplify]: Extracting #3: cost 11 inf + 405
48.807 * * [simplify]: Extracting #4: cost 10 inf + 407
48.807 * * [simplify]: Extracting #5: cost 4 inf + 1100
48.807 * * [simplify]: Extracting #6: cost 0 inf + 1629
48.807 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
48.807 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.807 * * * * [progress]: [ 27 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
48.808 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
48.808 * * [simplify]: iters left: 6 (9 enodes)
48.810 * * [simplify]: iters left: 5 (33 enodes)
48.816 * * [simplify]: iters left: 4 (43 enodes)
48.824 * * [simplify]: iters left: 3 (45 enodes)
48.830 * * [simplify]: Extracting #0: cost 1 inf + 0
48.830 * * [simplify]: Extracting #1: cost 8 inf + 0
48.831 * * [simplify]: Extracting #2: cost 16 inf + 0
48.831 * * [simplify]: Extracting #3: cost 16 inf + 284
48.831 * * [simplify]: Extracting #4: cost 11 inf + 610
48.831 * * [simplify]: Extracting #5: cost 8 inf + 775
48.831 * * [simplify]: Extracting #6: cost 0 inf + 2197
48.831 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
48.832 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.832 * * * * [progress]: [ 28 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) (sqrt k))))>
48.832 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
48.832 * * [simplify]: iters left: 6 (8 enodes)
48.834 * * [simplify]: iters left: 5 (30 enodes)
48.840 * * [simplify]: iters left: 4 (40 enodes)
48.845 * * [simplify]: iters left: 3 (42 enodes)
48.851 * * [simplify]: Extracting #0: cost 1 inf + 0
48.852 * * [simplify]: Extracting #1: cost 8 inf + 0
48.852 * * [simplify]: Extracting #2: cost 12 inf + 82
48.852 * * [simplify]: Extracting #3: cost 13 inf + 405
48.852 * * [simplify]: Extracting #4: cost 12 inf + 407
48.852 * * [simplify]: Extracting #5: cost 5 inf + 1223
48.852 * * [simplify]: Extracting #6: cost 0 inf + 1875
48.853 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
48.853 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.853 * * * * [progress]: [ 29 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
48.853 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
48.853 * * [simplify]: iters left: 6 (9 enodes)
48.856 * * [simplify]: iters left: 5 (33 enodes)
48.862 * * [simplify]: iters left: 4 (43 enodes)
48.871 * * [simplify]: iters left: 3 (45 enodes)
48.883 * * [simplify]: Extracting #0: cost 1 inf + 0
48.883 * * [simplify]: Extracting #1: cost 8 inf + 0
48.883 * * [simplify]: Extracting #2: cost 16 inf + 0
48.883 * * [simplify]: Extracting #3: cost 16 inf + 284
48.884 * * [simplify]: Extracting #4: cost 11 inf + 610
48.884 * * [simplify]: Extracting #5: cost 8 inf + 775
48.884 * * [simplify]: Extracting #6: cost 0 inf + 2197
48.885 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
48.885 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.886 * * * * [progress]: [ 30 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
48.886 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
48.886 * * [simplify]: iters left: 6 (8 enodes)
48.890 * * [simplify]: iters left: 5 (30 enodes)
48.900 * * [simplify]: iters left: 4 (35 enodes)
48.910 * * [simplify]: Extracting #0: cost 1 inf + 0
48.910 * * [simplify]: Extracting #1: cost 6 inf + 0
48.910 * * [simplify]: Extracting #2: cost 8 inf + 42
48.910 * * [simplify]: Extracting #3: cost 11 inf + 83
48.910 * * [simplify]: Extracting #4: cost 10 inf + 85
48.910 * * [simplify]: Extracting #5: cost 4 inf + 538
48.911 * * [simplify]: Extracting #6: cost 0 inf + 987
48.911 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
48.911 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.911 * * * * [progress]: [ 31 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) (sqrt k))))>
48.912 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
48.912 * * [simplify]: iters left: 6 (8 enodes)
48.916 * * [simplify]: iters left: 5 (30 enodes)
48.926 * * [simplify]: iters left: 4 (40 enodes)
48.940 * * [simplify]: iters left: 3 (42 enodes)
48.953 * * [simplify]: Extracting #0: cost 1 inf + 0
48.953 * * [simplify]: Extracting #1: cost 8 inf + 0
48.953 * * [simplify]: Extracting #2: cost 12 inf + 42
48.953 * * [simplify]: Extracting #3: cost 13 inf + 245
48.953 * * [simplify]: Extracting #4: cost 12 inf + 247
48.954 * * [simplify]: Extracting #5: cost 5 inf + 983
48.954 * * [simplify]: Extracting #6: cost 0 inf + 1555
48.955 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
48.955 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.955 * * * * [progress]: [ 32 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) (sqrt k))))>
48.956 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
48.956 * * [simplify]: iters left: 6 (8 enodes)
48.960 * * [simplify]: iters left: 5 (30 enodes)
48.967 * * [simplify]: iters left: 4 (40 enodes)
48.973 * * [simplify]: iters left: 3 (42 enodes)
48.979 * * [simplify]: Extracting #0: cost 1 inf + 0
48.979 * * [simplify]: Extracting #1: cost 8 inf + 0
48.980 * * [simplify]: Extracting #2: cost 11 inf + 203
48.980 * * [simplify]: Extracting #3: cost 13 inf + 405
48.980 * * [simplify]: Extracting #4: cost 12 inf + 407
48.980 * * [simplify]: Extracting #5: cost 3 inf + 1549
48.980 * * [simplify]: Extracting #6: cost 0 inf + 1875
48.981 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
48.981 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
48.981 * * * * [progress]: [ 33 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) (sqrt k))))>
48.981 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
48.981 * * [simplify]: iters left: 6 (8 enodes)
48.984 * * [simplify]: iters left: 5 (30 enodes)
48.988 * * [simplify]: iters left: 4 (40 enodes)
48.994 * * [simplify]: iters left: 3 (42 enodes)
49.001 * * [simplify]: Extracting #0: cost 1 inf + 0
49.001 * * [simplify]: Extracting #1: cost 8 inf + 0
49.001 * * [simplify]: Extracting #2: cost 11 inf + 123
49.001 * * [simplify]: Extracting #3: cost 13 inf + 245
49.001 * * [simplify]: Extracting #4: cost 12 inf + 247
49.002 * * [simplify]: Extracting #5: cost 3 inf + 1269
49.002 * * [simplify]: Extracting #6: cost 0 inf + 1555
49.003 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
49.003 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
49.003 * * * * [progress]: [ 34 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) (sqrt k))))>
49.003 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
49.003 * * [simplify]: iters left: 6 (7 enodes)
49.007 * * [simplify]: iters left: 5 (28 enodes)
49.015 * * [simplify]: iters left: 4 (35 enodes)
49.024 * * [simplify]: Extracting #0: cost 1 inf + 0
49.024 * * [simplify]: Extracting #1: cost 6 inf + 0
49.024 * * [simplify]: Extracting #2: cost 7 inf + 2
49.024 * * [simplify]: Extracting #3: cost 11 inf + 2
49.024 * * [simplify]: Extracting #4: cost 9 inf + 45
49.024 * * [simplify]: Extracting #5: cost 4 inf + 375
49.025 * * [simplify]: Extracting #6: cost 0 inf + 826
49.025 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
49.025 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (sqrt k))))
49.025 * * * * [progress]: [ 35 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (sqrt k))))>
49.026 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
49.026 * * [simplify]: iters left: 6 (7 enodes)
49.029 * * [simplify]: iters left: 5 (30 enodes)
49.038 * * [simplify]: iters left: 4 (49 enodes)
49.049 * * [simplify]: iters left: 3 (59 enodes)
49.057 * * [simplify]: iters left: 2 (64 enodes)
49.066 * * [simplify]: Extracting #0: cost 1 inf + 0
49.066 * * [simplify]: Extracting #1: cost 9 inf + 0
49.066 * * [simplify]: Extracting #2: cost 23 inf + 0
49.066 * * [simplify]: Extracting #3: cost 24 inf + 3
49.066 * * [simplify]: Extracting #4: cost 15 inf + 980
49.067 * * [simplify]: Extracting #5: cost 1 inf + 3007
49.067 * * [simplify]: Extracting #6: cost 0 inf + 3169
49.068 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
49.068 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
49.068 * * * * [progress]: [ 36 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k))))>
49.068 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
49.068 * * [simplify]: iters left: 6 (8 enodes)
49.073 * * [simplify]: iters left: 5 (33 enodes)
49.084 * * [simplify]: iters left: 4 (55 enodes)
49.102 * * [simplify]: iters left: 3 (72 enodes)
49.121 * * [simplify]: iters left: 2 (84 enodes)
49.132 * * [simplify]: iters left: 1 (88 enodes)
49.145 * * [simplify]: Extracting #0: cost 1 inf + 0
49.145 * * [simplify]: Extracting #1: cost 11 inf + 0
49.145 * * [simplify]: Extracting #2: cost 30 inf + 0
49.145 * * [simplify]: Extracting #3: cost 33 inf + 84
49.146 * * [simplify]: Extracting #4: cost 12 inf + 2402
49.146 * * [simplify]: Extracting #5: cost 0 inf + 4469
49.147 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
49.147 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
49.147 * * * * [progress]: [ 37 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (sqrt k))))>
49.148 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
49.148 * * [simplify]: iters left: 6 (7 enodes)
49.152 * * [simplify]: iters left: 5 (30 enodes)
49.164 * * [simplify]: iters left: 4 (52 enodes)
49.181 * * [simplify]: iters left: 3 (70 enodes)
49.191 * * [simplify]: iters left: 2 (81 enodes)
49.201 * * [simplify]: iters left: 1 (84 enodes)
49.214 * * [simplify]: Extracting #0: cost 1 inf + 0
49.214 * * [simplify]: Extracting #1: cost 11 inf + 0
49.214 * * [simplify]: Extracting #2: cost 25 inf + 203
49.215 * * [simplify]: Extracting #3: cost 25 inf + 530
49.215 * * [simplify]: Extracting #4: cost 4 inf + 2936
49.217 * * [simplify]: Extracting #5: cost 0 inf + 3504
49.218 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
49.218 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
49.218 * * * * [progress]: [ 38 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))>
49.218 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
49.219 * * [simplify]: iters left: 6 (8 enodes)
49.224 * * [simplify]: iters left: 5 (33 enodes)
49.235 * * [simplify]: iters left: 4 (55 enodes)
49.251 * * [simplify]: iters left: 3 (72 enodes)
49.272 * * [simplify]: iters left: 2 (84 enodes)
49.296 * * [simplify]: iters left: 1 (88 enodes)
49.314 * * [simplify]: Extracting #0: cost 1 inf + 0
49.314 * * [simplify]: Extracting #1: cost 11 inf + 0
49.314 * * [simplify]: Extracting #2: cost 30 inf + 0
49.314 * * [simplify]: Extracting #3: cost 33 inf + 44
49.314 * * [simplify]: Extracting #4: cost 12 inf + 2362
49.315 * * [simplify]: Extracting #5: cost 0 inf + 4469
49.316 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
49.316 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
49.316 * * * * [progress]: [ 39 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (sqrt k))))>
49.316 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
49.316 * * [simplify]: iters left: 6 (7 enodes)
49.319 * * [simplify]: iters left: 5 (30 enodes)
49.324 * * [simplify]: iters left: 4 (48 enodes)
49.332 * * [simplify]: iters left: 3 (56 enodes)
49.342 * * [simplify]: Extracting #0: cost 1 inf + 0
49.342 * * [simplify]: Extracting #1: cost 8 inf + 0
49.342 * * [simplify]: Extracting #2: cost 15 inf + 43
49.342 * * [simplify]: Extracting #3: cost 16 inf + 86
49.342 * * [simplify]: Extracting #4: cost 5 inf + 911
49.343 * * [simplify]: Extracting #5: cost 1 inf + 1198
49.344 * * [simplify]: Extracting #6: cost 0 inf + 1320
49.345 * [simplify]: Simplified to (/ (- 1 k) 2)
49.345 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (sqrt k))))
49.345 * * * * [progress]: [ 40 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (sqrt k))))>
49.345 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
49.346 * * [simplify]: iters left: 6 (7 enodes)
49.350 * * [simplify]: iters left: 5 (30 enodes)
49.360 * * [simplify]: iters left: 4 (52 enodes)
49.376 * * [simplify]: iters left: 3 (70 enodes)
49.386 * * [simplify]: iters left: 2 (81 enodes)
49.398 * * [simplify]: iters left: 1 (84 enodes)
49.417 * * [simplify]: Extracting #0: cost 1 inf + 0
49.417 * * [simplify]: Extracting #1: cost 11 inf + 0
49.417 * * [simplify]: Extracting #2: cost 25 inf + 123
49.418 * * [simplify]: Extracting #3: cost 25 inf + 330
49.418 * * [simplify]: Extracting #4: cost 4 inf + 2256
49.420 * * [simplify]: Extracting #5: cost 0 inf + 2704
49.421 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
49.421 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))
49.421 * * * * [progress]: [ 41 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))>
49.421 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
49.422 * * [simplify]: iters left: 6 (7 enodes)
49.427 * * [simplify]: iters left: 5 (31 enodes)
49.437 * * [simplify]: iters left: 4 (51 enodes)
49.446 * * [simplify]: iters left: 3 (64 enodes)
49.455 * * [simplify]: iters left: 2 (77 enodes)
49.465 * * [simplify]: iters left: 1 (84 enodes)
49.476 * * [simplify]: Extracting #0: cost 1 inf + 0
49.476 * * [simplify]: Extracting #1: cost 11 inf + 0
49.476 * * [simplify]: Extracting #2: cost 26 inf + 82
49.476 * * [simplify]: Extracting #3: cost 24 inf + 692
49.476 * * [simplify]: Extracting #4: cost 3 inf + 3057
49.477 * * [simplify]: Extracting #5: cost 0 inf + 3504
49.478 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
49.478 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
49.478 * * * * [progress]: [ 42 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))>
49.478 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
49.478 * * [simplify]: iters left: 6 (7 enodes)
49.481 * * [simplify]: iters left: 5 (31 enodes)
49.488 * * [simplify]: iters left: 4 (51 enodes)
49.496 * * [simplify]: iters left: 3 (64 enodes)
49.505 * * [simplify]: iters left: 2 (77 enodes)
49.516 * * [simplify]: iters left: 1 (84 enodes)
49.527 * * [simplify]: Extracting #0: cost 1 inf + 0
49.527 * * [simplify]: Extracting #1: cost 11 inf + 0
49.527 * * [simplify]: Extracting #2: cost 26 inf + 42
49.527 * * [simplify]: Extracting #3: cost 24 inf + 452
49.528 * * [simplify]: Extracting #4: cost 3 inf + 2337
49.528 * * [simplify]: Extracting #5: cost 0 inf + 2704
49.529 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
49.529 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (sqrt k))))
49.529 * * * * [progress]: [ 43 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
49.529 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
49.529 * * [simplify]: iters left: 6 (6 enodes)
49.532 * * [simplify]: iters left: 5 (29 enodes)
49.537 * * [simplify]: iters left: 4 (44 enodes)
49.543 * * [simplify]: iters left: 3 (50 enodes)
49.551 * * [simplify]: iters left: 2 (57 enodes)
49.558 * * [simplify]: Extracting #0: cost 1 inf + 0
49.559 * * [simplify]: Extracting #1: cost 9 inf + 0
49.559 * * [simplify]: Extracting #2: cost 15 inf + 3
49.559 * * [simplify]: Extracting #3: cost 11 inf + 131
49.559 * * [simplify]: Extracting #4: cost 2 inf + 711
49.559 * * [simplify]: Extracting #5: cost 0 inf + 836
49.559 * [simplify]: Simplified to (- 1/4 (/ k 4))
49.559 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (sqrt k))))
49.560 * * * * [progress]: [ 44 / 220 ] 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 (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))))>
49.560 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
49.560 * * [simplify]: iters left: 6 (9 enodes)
49.564 * * [simplify]: iters left: 5 (36 enodes)
49.570 * * [simplify]: iters left: 4 (58 enodes)
49.578 * * [simplify]: iters left: 3 (71 enodes)
49.588 * * [simplify]: iters left: 2 (79 enodes)
49.598 * * [simplify]: iters left: 1 (80 enodes)
49.607 * * [simplify]: Extracting #0: cost 1 inf + 0
49.607 * * [simplify]: Extracting #1: cost 9 inf + 0
49.607 * * [simplify]: Extracting #2: cost 24 inf + 0
49.607 * * [simplify]: Extracting #3: cost 29 inf + 2
49.607 * * [simplify]: Extracting #4: cost 10 inf + 2233
49.608 * * [simplify]: Extracting #5: cost 1 inf + 4013
49.609 * * [simplify]: Extracting #6: cost 0 inf + 4135
49.609 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
49.609 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
49.610 * * * * [progress]: [ 45 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
49.610 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
49.610 * * [simplify]: iters left: 6 (10 enodes)
49.614 * * [simplify]: iters left: 5 (39 enodes)
49.626 * * [simplify]: iters left: 4 (64 enodes)
49.644 * * [simplify]: iters left: 3 (86 enodes)
49.670 * * [simplify]: iters left: 2 (99 enodes)
49.695 * * [simplify]: iters left: 1 (104 enodes)
49.720 * * [simplify]: Extracting #0: cost 1 inf + 0
49.720 * * [simplify]: Extracting #1: cost 11 inf + 0
49.720 * * [simplify]: Extracting #2: cost 31 inf + 0
49.720 * * [simplify]: Extracting #3: cost 39 inf + 2
49.721 * * [simplify]: Extracting #4: cost 22 inf + 1871
49.722 * * [simplify]: Extracting #5: cost 4 inf + 4865
49.724 * * [simplify]: Extracting #6: cost 0 inf + 5675
49.727 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
49.727 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
49.727 * * * * [progress]: [ 46 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) (sqrt k))))>
49.728 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
49.728 * * [simplify]: iters left: 6 (9 enodes)
49.733 * * [simplify]: iters left: 5 (36 enodes)
49.745 * * [simplify]: iters left: 4 (61 enodes)
49.763 * * [simplify]: iters left: 3 (84 enodes)
49.781 * * [simplify]: iters left: 2 (96 enodes)
49.793 * * [simplify]: iters left: 1 (100 enodes)
49.806 * * [simplify]: Extracting #0: cost 1 inf + 0
49.806 * * [simplify]: Extracting #1: cost 11 inf + 0
49.807 * * [simplify]: Extracting #2: cost 27 inf + 82
49.807 * * [simplify]: Extracting #3: cost 29 inf + 651
49.807 * * [simplify]: Extracting #4: cost 12 inf + 2763
49.808 * * [simplify]: Extracting #5: cost 1 inf + 4587
49.808 * * [simplify]: Extracting #6: cost 0 inf + 4710
49.809 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
49.809 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
49.809 * * * * [progress]: [ 47 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
49.810 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
49.810 * * [simplify]: iters left: 6 (10 enodes)
49.813 * * [simplify]: iters left: 5 (39 enodes)
49.821 * * [simplify]: iters left: 4 (64 enodes)
49.839 * * [simplify]: iters left: 3 (86 enodes)
49.862 * * [simplify]: iters left: 2 (99 enodes)
49.887 * * [simplify]: iters left: 1 (104 enodes)
49.911 * * [simplify]: Extracting #0: cost 1 inf + 0
49.912 * * [simplify]: Extracting #1: cost 11 inf + 0
49.912 * * [simplify]: Extracting #2: cost 31 inf + 0
49.912 * * [simplify]: Extracting #3: cost 39 inf + 2
49.912 * * [simplify]: Extracting #4: cost 22 inf + 1831
49.914 * * [simplify]: Extracting #5: cost 4 inf + 4785
49.916 * * [simplify]: Extracting #6: cost 0 inf + 5595
49.918 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
49.918 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
49.919 * * * * [progress]: [ 48 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
49.919 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
49.919 * * [simplify]: iters left: 6 (9 enodes)
49.928 * * [simplify]: iters left: 5 (36 enodes)
49.940 * * [simplify]: iters left: 4 (57 enodes)
49.957 * * [simplify]: iters left: 3 (73 enodes)
49.975 * * [simplify]: iters left: 2 (80 enodes)
49.994 * * [simplify]: iters left: 1 (81 enodes)
50.013 * * [simplify]: Extracting #0: cost 1 inf + 0
50.013 * * [simplify]: Extracting #1: cost 9 inf + 0
50.013 * * [simplify]: Extracting #2: cost 18 inf + 43
50.013 * * [simplify]: Extracting #3: cost 23 inf + 85
50.013 * * [simplify]: Extracting #4: cost 9 inf + 1271
50.014 * * [simplify]: Extracting #5: cost 0 inf + 2370
50.015 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
50.015 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.016 * * * * [progress]: [ 49 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) (sqrt k))))>
50.016 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
50.016 * * [simplify]: iters left: 6 (9 enodes)
50.022 * * [simplify]: iters left: 5 (36 enodes)
50.033 * * [simplify]: iters left: 4 (61 enodes)
50.052 * * [simplify]: iters left: 3 (84 enodes)
50.074 * * [simplify]: iters left: 2 (96 enodes)
50.100 * * [simplify]: iters left: 1 (100 enodes)
50.119 * * [simplify]: Extracting #0: cost 1 inf + 0
50.119 * * [simplify]: Extracting #1: cost 11 inf + 0
50.119 * * [simplify]: Extracting #2: cost 27 inf + 42
50.119 * * [simplify]: Extracting #3: cost 29 inf + 411
50.119 * * [simplify]: Extracting #4: cost 12 inf + 2163
50.120 * * [simplify]: Extracting #5: cost 1 inf + 3707
50.121 * * [simplify]: Extracting #6: cost 0 inf + 3830
50.121 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
50.121 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.122 * * * * [progress]: [ 50 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) (sqrt k))))>
50.122 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
50.122 * * [simplify]: iters left: 6 (9 enodes)
50.125 * * [simplify]: iters left: 5 (36 enodes)
50.131 * * [simplify]: iters left: 4 (62 enodes)
50.140 * * [simplify]: iters left: 3 (78 enodes)
50.150 * * [simplify]: iters left: 2 (90 enodes)
50.161 * * [simplify]: iters left: 1 (94 enodes)
50.174 * * [simplify]: Extracting #0: cost 1 inf + 0
50.174 * * [simplify]: Extracting #1: cost 11 inf + 0
50.174 * * [simplify]: Extracting #2: cost 27 inf + 1
50.175 * * [simplify]: Extracting #3: cost 29 inf + 409
50.175 * * [simplify]: Extracting #4: cost 12 inf + 2359
50.175 * * [simplify]: Extracting #5: cost 2 inf + 4022
50.176 * * [simplify]: Extracting #6: cost 0 inf + 4466
50.177 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
50.177 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.177 * * * * [progress]: [ 51 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) (sqrt k))))>
50.177 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
50.177 * * [simplify]: iters left: 6 (9 enodes)
50.180 * * [simplify]: iters left: 5 (36 enodes)
50.187 * * [simplify]: iters left: 4 (62 enodes)
50.196 * * [simplify]: iters left: 3 (78 enodes)
50.206 * * [simplify]: iters left: 2 (90 enodes)
50.218 * * [simplify]: iters left: 1 (94 enodes)
50.229 * * [simplify]: Extracting #0: cost 1 inf + 0
50.229 * * [simplify]: Extracting #1: cost 11 inf + 0
50.229 * * [simplify]: Extracting #2: cost 27 inf + 1
50.230 * * [simplify]: Extracting #3: cost 29 inf + 249
50.230 * * [simplify]: Extracting #4: cost 12 inf + 1879
50.230 * * [simplify]: Extracting #5: cost 2 inf + 3302
50.231 * * [simplify]: Extracting #6: cost 0 inf + 3666
50.232 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
50.232 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.232 * * * * [progress]: [ 52 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) (sqrt k))))>
50.232 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
50.232 * * [simplify]: iters left: 6 (8 enodes)
50.235 * * [simplify]: iters left: 5 (34 enodes)
50.242 * * [simplify]: iters left: 4 (58 enodes)
50.251 * * [simplify]: iters left: 3 (65 enodes)
50.259 * * [simplify]: Extracting #0: cost 1 inf + 0
50.259 * * [simplify]: Extracting #1: cost 8 inf + 0
50.260 * * [simplify]: Extracting #2: cost 14 inf + 3
50.260 * * [simplify]: Extracting #3: cost 17 inf + 5
50.260 * * [simplify]: Extracting #4: cost 12 inf + 292
50.260 * * [simplify]: Extracting #5: cost 1 inf + 1355
50.260 * * [simplify]: Extracting #6: cost 0 inf + 1478
50.260 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
50.261 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.261 * * * * [progress]: [ 53 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (sqrt k))))>
50.261 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
50.261 * * [simplify]: iters left: 6 (8 enodes)
50.263 * * [simplify]: iters left: 5 (33 enodes)
50.269 * * [simplify]: iters left: 4 (52 enodes)
50.280 * * [simplify]: iters left: 3 (62 enodes)
50.296 * * [simplify]: iters left: 2 (67 enodes)
50.304 * * [simplify]: Extracting #0: cost 1 inf + 0
50.304 * * [simplify]: Extracting #1: cost 9 inf + 0
50.304 * * [simplify]: Extracting #2: cost 23 inf + 0
50.304 * * [simplify]: Extracting #3: cost 24 inf + 285
50.305 * * [simplify]: Extracting #4: cost 18 inf + 975
50.305 * * [simplify]: Extracting #5: cost 7 inf + 2516
50.305 * * [simplify]: Extracting #6: cost 0 inf + 3891
50.306 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
50.306 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.306 * * * * [progress]: [ 54 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) (sqrt k))))>
50.306 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
50.307 * * [simplify]: iters left: 6 (9 enodes)
50.309 * * [simplify]: iters left: 5 (36 enodes)
50.315 * * [simplify]: iters left: 4 (58 enodes)
50.324 * * [simplify]: iters left: 3 (75 enodes)
50.336 * * [simplify]: iters left: 2 (87 enodes)
50.362 * * [simplify]: iters left: 1 (91 enodes)
50.374 * * [simplify]: Extracting #0: cost 1 inf + 0
50.374 * * [simplify]: Extracting #1: cost 11 inf + 0
50.374 * * [simplify]: Extracting #2: cost 30 inf + 0
50.375 * * [simplify]: Extracting #3: cost 36 inf + 83
50.375 * * [simplify]: Extracting #4: cost 30 inf + 451
50.375 * * [simplify]: Extracting #5: cost 10 inf + 3649
50.376 * * [simplify]: Extracting #6: cost 0 inf + 5431
50.377 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
50.377 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.377 * * * * [progress]: [ 55 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) (sqrt k))))>
50.377 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
50.377 * * [simplify]: iters left: 6 (8 enodes)
50.380 * * [simplify]: iters left: 5 (33 enodes)
50.385 * * [simplify]: iters left: 4 (55 enodes)
50.394 * * [simplify]: iters left: 3 (73 enodes)
50.407 * * [simplify]: iters left: 2 (84 enodes)
50.430 * * [simplify]: iters left: 1 (87 enodes)
50.449 * * [simplify]: Extracting #0: cost 1 inf + 0
50.449 * * [simplify]: Extracting #1: cost 11 inf + 0
50.451 * * [simplify]: Extracting #2: cost 25 inf + 203
50.451 * * [simplify]: Extracting #3: cost 29 inf + 407
50.451 * * [simplify]: Extracting #4: cost 24 inf + 896
50.452 * * [simplify]: Extracting #5: cost 9 inf + 2805
50.452 * * [simplify]: Extracting #6: cost 0 inf + 4466
50.453 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
50.453 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.453 * * * * [progress]: [ 56 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) (sqrt k))))>
50.454 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
50.454 * * [simplify]: iters left: 6 (9 enodes)
50.457 * * [simplify]: iters left: 5 (36 enodes)
50.463 * * [simplify]: iters left: 4 (58 enodes)
50.478 * * [simplify]: iters left: 3 (75 enodes)
50.499 * * [simplify]: iters left: 2 (87 enodes)
50.523 * * [simplify]: iters left: 1 (91 enodes)
50.539 * * [simplify]: Extracting #0: cost 1 inf + 0
50.539 * * [simplify]: Extracting #1: cost 11 inf + 0
50.539 * * [simplify]: Extracting #2: cost 30 inf + 0
50.539 * * [simplify]: Extracting #3: cost 36 inf + 43
50.540 * * [simplify]: Extracting #4: cost 30 inf + 451
50.540 * * [simplify]: Extracting #5: cost 10 inf + 3769
50.541 * * [simplify]: Extracting #6: cost 0 inf + 5431
50.542 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
50.542 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.542 * * * * [progress]: [ 57 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (sqrt k))))>
50.542 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
50.542 * * [simplify]: iters left: 6 (8 enodes)
50.545 * * [simplify]: iters left: 5 (33 enodes)
50.550 * * [simplify]: iters left: 4 (51 enodes)
50.558 * * [simplify]: iters left: 3 (59 enodes)
50.575 * * [simplify]: Extracting #0: cost 1 inf + 0
50.575 * * [simplify]: Extracting #1: cost 8 inf + 0
50.575 * * [simplify]: Extracting #2: cost 15 inf + 43
50.575 * * [simplify]: Extracting #3: cost 19 inf + 85
50.575 * * [simplify]: Extracting #4: cost 16 inf + 250
50.576 * * [simplify]: Extracting #5: cost 5 inf + 1311
50.577 * * [simplify]: Extracting #6: cost 0 inf + 1962
50.577 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
50.577 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.578 * * * * [progress]: [ 58 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) (sqrt k))))>
50.578 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
50.578 * * [simplify]: iters left: 6 (8 enodes)
50.583 * * [simplify]: iters left: 5 (33 enodes)
50.594 * * [simplify]: iters left: 4 (55 enodes)
50.606 * * [simplify]: iters left: 3 (73 enodes)
50.616 * * [simplify]: iters left: 2 (84 enodes)
50.627 * * [simplify]: iters left: 1 (87 enodes)
50.642 * * [simplify]: Extracting #0: cost 1 inf + 0
50.642 * * [simplify]: Extracting #1: cost 11 inf + 0
50.643 * * [simplify]: Extracting #2: cost 25 inf + 123
50.643 * * [simplify]: Extracting #3: cost 29 inf + 247
50.643 * * [simplify]: Extracting #4: cost 24 inf + 576
50.644 * * [simplify]: Extracting #5: cost 9 inf + 2245
50.645 * * [simplify]: Extracting #6: cost 0 inf + 3666
50.647 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
50.647 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.647 * * * * [progress]: [ 59 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) (sqrt k))))>
50.647 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
50.647 * * [simplify]: iters left: 6 (8 enodes)
50.652 * * [simplify]: iters left: 5 (34 enodes)
50.664 * * [simplify]: iters left: 4 (54 enodes)
50.683 * * [simplify]: iters left: 3 (67 enodes)
50.693 * * [simplify]: iters left: 2 (80 enodes)
50.703 * * [simplify]: iters left: 1 (87 enodes)
50.714 * * [simplify]: Extracting #0: cost 1 inf + 0
50.714 * * [simplify]: Extracting #1: cost 11 inf + 0
50.714 * * [simplify]: Extracting #2: cost 25 inf + 203
50.715 * * [simplify]: Extracting #3: cost 26 inf + 773
50.715 * * [simplify]: Extracting #4: cost 24 inf + 896
50.715 * * [simplify]: Extracting #5: cost 8 inf + 3127
50.716 * * [simplify]: Extracting #6: cost 0 inf + 4466
50.717 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
50.717 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.717 * * * * [progress]: [ 60 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) (sqrt k))))>
50.718 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
50.718 * * [simplify]: iters left: 6 (8 enodes)
50.723 * * [simplify]: iters left: 5 (34 enodes)
50.736 * * [simplify]: iters left: 4 (54 enodes)
50.752 * * [simplify]: iters left: 3 (67 enodes)
50.771 * * [simplify]: iters left: 2 (80 enodes)
50.793 * * [simplify]: iters left: 1 (87 enodes)
50.814 * * [simplify]: Extracting #0: cost 1 inf + 0
50.814 * * [simplify]: Extracting #1: cost 11 inf + 0
50.814 * * [simplify]: Extracting #2: cost 25 inf + 123
50.814 * * [simplify]: Extracting #3: cost 26 inf + 493
50.814 * * [simplify]: Extracting #4: cost 24 inf + 576
50.815 * * [simplify]: Extracting #5: cost 8 inf + 2527
50.815 * * [simplify]: Extracting #6: cost 0 inf + 3666
50.816 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
50.816 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.816 * * * * [progress]: [ 61 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (sqrt k))))>
50.817 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
50.817 * * [simplify]: iters left: 6 (7 enodes)
50.819 * * [simplify]: iters left: 5 (32 enodes)
50.826 * * [simplify]: iters left: 4 (50 enodes)
50.833 * * [simplify]: iters left: 3 (54 enodes)
50.844 * * [simplify]: Extracting #0: cost 1 inf + 0
50.844 * * [simplify]: Extracting #1: cost 8 inf + 0
50.844 * * [simplify]: Extracting #2: cost 13 inf + 3
50.844 * * [simplify]: Extracting #3: cost 15 inf + 5
50.845 * * [simplify]: Extracting #4: cost 14 inf + 6
50.845 * * [simplify]: Extracting #5: cost 4 inf + 825
50.845 * * [simplify]: Extracting #6: cost 0 inf + 1234
50.846 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
50.846 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.846 * * * * [progress]: [ 62 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (sqrt k))))>
50.847 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
50.847 * * [simplify]: iters left: 6 (7 enodes)
50.851 * * [simplify]: iters left: 5 (30 enodes)
50.861 * * [simplify]: iters left: 4 (49 enodes)
50.876 * * [simplify]: iters left: 3 (59 enodes)
50.893 * * [simplify]: iters left: 2 (64 enodes)
50.911 * * [simplify]: Extracting #0: cost 1 inf + 0
50.911 * * [simplify]: Extracting #1: cost 9 inf + 0
50.911 * * [simplify]: Extracting #2: cost 23 inf + 0
50.911 * * [simplify]: Extracting #3: cost 24 inf + 3
50.911 * * [simplify]: Extracting #4: cost 15 inf + 980
50.912 * * [simplify]: Extracting #5: cost 1 inf + 3007
50.913 * * [simplify]: Extracting #6: cost 0 inf + 3169
50.914 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
50.914 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
50.915 * * * * [progress]: [ 63 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (sqrt k))))>
50.915 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
50.915 * * [simplify]: iters left: 6 (8 enodes)
50.920 * * [simplify]: iters left: 5 (33 enodes)
50.937 * * [simplify]: iters left: 4 (55 enodes)
50.954 * * [simplify]: iters left: 3 (72 enodes)
50.974 * * [simplify]: iters left: 2 (84 enodes)
50.997 * * [simplify]: iters left: 1 (88 enodes)
51.017 * * [simplify]: Extracting #0: cost 1 inf + 0
51.017 * * [simplify]: Extracting #1: cost 11 inf + 0
51.017 * * [simplify]: Extracting #2: cost 30 inf + 0
51.017 * * [simplify]: Extracting #3: cost 33 inf + 84
51.017 * * [simplify]: Extracting #4: cost 12 inf + 2402
51.018 * * [simplify]: Extracting #5: cost 0 inf + 4469
51.019 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
51.019 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
51.019 * * * * [progress]: [ 64 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (sqrt k))))>
51.019 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
51.019 * * [simplify]: iters left: 6 (7 enodes)
51.022 * * [simplify]: iters left: 5 (30 enodes)
51.027 * * [simplify]: iters left: 4 (52 enodes)
51.035 * * [simplify]: iters left: 3 (70 enodes)
51.054 * * [simplify]: iters left: 2 (81 enodes)
51.079 * * [simplify]: iters left: 1 (84 enodes)
51.100 * * [simplify]: Extracting #0: cost 1 inf + 0
51.100 * * [simplify]: Extracting #1: cost 11 inf + 0
51.101 * * [simplify]: Extracting #2: cost 25 inf + 203
51.101 * * [simplify]: Extracting #3: cost 25 inf + 530
51.102 * * [simplify]: Extracting #4: cost 4 inf + 2936
51.103 * * [simplify]: Extracting #5: cost 0 inf + 3504
51.104 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
51.104 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
51.104 * * * * [progress]: [ 65 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (sqrt k))))>
51.105 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
51.105 * * [simplify]: iters left: 6 (8 enodes)
51.110 * * [simplify]: iters left: 5 (33 enodes)
51.122 * * [simplify]: iters left: 4 (55 enodes)
51.141 * * [simplify]: iters left: 3 (72 enodes)
51.157 * * [simplify]: iters left: 2 (84 enodes)
51.168 * * [simplify]: iters left: 1 (88 enodes)
51.179 * * [simplify]: Extracting #0: cost 1 inf + 0
51.179 * * [simplify]: Extracting #1: cost 11 inf + 0
51.179 * * [simplify]: Extracting #2: cost 30 inf + 0
51.179 * * [simplify]: Extracting #3: cost 33 inf + 44
51.179 * * [simplify]: Extracting #4: cost 12 inf + 2362
51.180 * * [simplify]: Extracting #5: cost 0 inf + 4469
51.181 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
51.181 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
51.181 * * * * [progress]: [ 66 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (sqrt k))))>
51.181 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
51.181 * * [simplify]: iters left: 6 (7 enodes)
51.184 * * [simplify]: iters left: 5 (30 enodes)
51.197 * * [simplify]: iters left: 4 (48 enodes)
51.212 * * [simplify]: iters left: 3 (56 enodes)
51.228 * * [simplify]: Extracting #0: cost 1 inf + 0
51.228 * * [simplify]: Extracting #1: cost 8 inf + 0
51.228 * * [simplify]: Extracting #2: cost 15 inf + 43
51.228 * * [simplify]: Extracting #3: cost 16 inf + 86
51.228 * * [simplify]: Extracting #4: cost 5 inf + 911
51.229 * * [simplify]: Extracting #5: cost 1 inf + 1198
51.230 * * [simplify]: Extracting #6: cost 0 inf + 1320
51.230 * [simplify]: Simplified to (/ (- 1 k) 2)
51.230 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (sqrt k))))
51.231 * * * * [progress]: [ 67 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (sqrt k))))>
51.231 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
51.231 * * [simplify]: iters left: 6 (7 enodes)
51.236 * * [simplify]: iters left: 5 (30 enodes)
51.246 * * [simplify]: iters left: 4 (52 enodes)
51.260 * * [simplify]: iters left: 3 (70 enodes)
51.269 * * [simplify]: iters left: 2 (81 enodes)
51.280 * * [simplify]: iters left: 1 (84 enodes)
51.292 * * [simplify]: Extracting #0: cost 1 inf + 0
51.292 * * [simplify]: Extracting #1: cost 11 inf + 0
51.292 * * [simplify]: Extracting #2: cost 25 inf + 123
51.292 * * [simplify]: Extracting #3: cost 25 inf + 330
51.293 * * [simplify]: Extracting #4: cost 4 inf + 2256
51.295 * * [simplify]: Extracting #5: cost 0 inf + 2704
51.296 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
51.296 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))
51.296 * * * * [progress]: [ 68 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))>
51.297 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
51.297 * * [simplify]: iters left: 6 (7 enodes)
51.301 * * [simplify]: iters left: 5 (31 enodes)
51.315 * * [simplify]: iters left: 4 (51 enodes)
51.323 * * [simplify]: iters left: 3 (64 enodes)
51.335 * * [simplify]: iters left: 2 (77 enodes)
51.353 * * [simplify]: iters left: 1 (84 enodes)
51.368 * * [simplify]: Extracting #0: cost 1 inf + 0
51.368 * * [simplify]: Extracting #1: cost 11 inf + 0
51.368 * * [simplify]: Extracting #2: cost 26 inf + 82
51.368 * * [simplify]: Extracting #3: cost 24 inf + 692
51.368 * * [simplify]: Extracting #4: cost 3 inf + 3057
51.369 * * [simplify]: Extracting #5: cost 0 inf + 3504
51.370 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
51.370 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
51.370 * * * * [progress]: [ 69 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))>
51.370 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
51.370 * * [simplify]: iters left: 6 (7 enodes)
51.373 * * [simplify]: iters left: 5 (31 enodes)
51.378 * * [simplify]: iters left: 4 (51 enodes)
51.391 * * [simplify]: iters left: 3 (64 enodes)
51.408 * * [simplify]: iters left: 2 (77 enodes)
51.432 * * [simplify]: iters left: 1 (84 enodes)
51.453 * * [simplify]: Extracting #0: cost 1 inf + 0
51.453 * * [simplify]: Extracting #1: cost 11 inf + 0
51.453 * * [simplify]: Extracting #2: cost 26 inf + 42
51.453 * * [simplify]: Extracting #3: cost 24 inf + 452
51.454 * * [simplify]: Extracting #4: cost 3 inf + 2337
51.455 * * [simplify]: Extracting #5: cost 0 inf + 2704
51.457 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
51.457 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (sqrt k))))
51.457 * * * * [progress]: [ 70 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
51.457 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
51.457 * * [simplify]: iters left: 6 (6 enodes)
51.462 * * [simplify]: iters left: 5 (29 enodes)
51.472 * * [simplify]: iters left: 4 (44 enodes)
51.483 * * [simplify]: iters left: 3 (50 enodes)
51.490 * * [simplify]: iters left: 2 (57 enodes)
51.498 * * [simplify]: Extracting #0: cost 1 inf + 0
51.498 * * [simplify]: Extracting #1: cost 9 inf + 0
51.498 * * [simplify]: Extracting #2: cost 15 inf + 3
51.498 * * [simplify]: Extracting #3: cost 11 inf + 131
51.498 * * [simplify]: Extracting #4: cost 2 inf + 711
51.498 * * [simplify]: Extracting #5: cost 0 inf + 836
51.498 * [simplify]: Simplified to (- 1/4 (/ k 4))
51.498 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (sqrt k))))
51.499 * * * * [progress]: [ 71 / 220 ] 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 (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (sqrt k))))>
51.499 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
51.499 * * [simplify]: iters left: 6 (7 enodes)
51.501 * * [simplify]: iters left: 5 (31 enodes)
51.507 * * [simplify]: iters left: 4 (51 enodes)
51.514 * * [simplify]: iters left: 3 (64 enodes)
51.526 * * [simplify]: iters left: 2 (77 enodes)
51.549 * * [simplify]: iters left: 1 (84 enodes)
51.572 * * [simplify]: Extracting #0: cost 1 inf + 0
51.572 * * [simplify]: Extracting #1: cost 11 inf + 0
51.573 * * [simplify]: Extracting #2: cost 26 inf + 82
51.573 * * [simplify]: Extracting #3: cost 24 inf + 692
51.573 * * [simplify]: Extracting #4: cost 3 inf + 3057
51.574 * * [simplify]: Extracting #5: cost 0 inf + 3504
51.574 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
51.574 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
51.574 * * * * [progress]: [ 72 / 220 ] 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 (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (sqrt k))))>
51.575 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
51.575 * * [simplify]: iters left: 6 (7 enodes)
51.577 * * [simplify]: iters left: 5 (31 enodes)
51.582 * * [simplify]: iters left: 4 (51 enodes)
51.590 * * [simplify]: iters left: 3 (64 enodes)
51.599 * * [simplify]: iters left: 2 (77 enodes)
51.612 * * [simplify]: iters left: 1 (84 enodes)
51.625 * * [simplify]: Extracting #0: cost 1 inf + 0
51.625 * * [simplify]: Extracting #1: cost 11 inf + 0
51.625 * * [simplify]: Extracting #2: cost 26 inf + 42
51.625 * * [simplify]: Extracting #3: cost 24 inf + 452
51.626 * * [simplify]: Extracting #4: cost 3 inf + 2337
51.626 * * [simplify]: Extracting #5: cost 0 inf + 2704
51.627 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
51.627 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (sqrt k))))
51.627 * * * * [progress]: [ 73 / 220 ] 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 (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
51.627 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
51.627 * * [simplify]: iters left: 6 (6 enodes)
51.630 * * [simplify]: iters left: 5 (29 enodes)
51.635 * * [simplify]: iters left: 4 (44 enodes)
51.643 * * [simplify]: iters left: 3 (50 enodes)
51.650 * * [simplify]: iters left: 2 (57 enodes)
51.663 * * [simplify]: Extracting #0: cost 1 inf + 0
51.663 * * [simplify]: Extracting #1: cost 9 inf + 0
51.663 * * [simplify]: Extracting #2: cost 15 inf + 3
51.663 * * [simplify]: Extracting #3: cost 11 inf + 131
51.664 * * [simplify]: Extracting #4: cost 2 inf + 711
51.664 * * [simplify]: Extracting #5: cost 0 inf + 836
51.665 * [simplify]: Simplified to (- 1/4 (/ k 4))
51.665 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) (sqrt k))))
51.665 * * * * [progress]: [ 74 / 220 ] 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 (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (sqrt k))))>
51.665 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
51.665 * * [simplify]: iters left: 4 (5 enodes)
51.670 * * [simplify]: iters left: 3 (20 enodes)
51.677 * * [simplify]: iters left: 2 (27 enodes)
51.685 * * [simplify]: iters left: 1 (29 enodes)
51.694 * * [simplify]: Extracting #0: cost 1 inf + 0
51.694 * * [simplify]: Extracting #1: cost 8 inf + 0
51.694 * * [simplify]: Extracting #2: cost 4 inf + 449
51.695 * * [simplify]: Extracting #3: cost 0 inf + 895
51.695 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
51.695 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
51.695 * * * * [progress]: [ 75 / 220 ] 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 (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (sqrt k))))>
51.696 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
51.696 * * [simplify]: iters left: 4 (5 enodes)
51.698 * * [simplify]: iters left: 3 (20 enodes)
51.702 * * [simplify]: iters left: 2 (27 enodes)
51.707 * * [simplify]: iters left: 1 (29 enodes)
51.711 * * [simplify]: Extracting #0: cost 1 inf + 0
51.711 * * [simplify]: Extracting #1: cost 8 inf + 0
51.711 * * [simplify]: Extracting #2: cost 4 inf + 289
51.711 * * [simplify]: Extracting #3: cost 0 inf + 575
51.712 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
51.712 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (sqrt k))))
51.712 * * * * [progress]: [ 76 / 220 ] 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 (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) (sqrt k))))>
51.712 * [simplify]: Simplifying (/ (/ 1 2) 2)
51.712 * * [simplify]: iters left: 4 (4 enodes)
51.715 * * [simplify]: iters left: 3 (19 enodes)
51.718 * * [simplify]: iters left: 2 (23 enodes)
51.722 * * [simplify]: Extracting #0: cost 1 inf + 0
51.722 * * [simplify]: Extracting #1: cost 0 inf + 1
51.722 * [simplify]: Simplified to 1/4
51.722 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) (sqrt k))))
51.722 * * * * [progress]: [ 77 / 220 ] 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 (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
51.722 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
51.722 * * [simplify]: iters left: 6 (6 enodes)
51.725 * * [simplify]: iters left: 5 (29 enodes)
51.736 * * [simplify]: iters left: 4 (44 enodes)
51.749 * * [simplify]: iters left: 3 (50 enodes)
51.768 * * [simplify]: iters left: 2 (57 enodes)
51.783 * * [simplify]: Extracting #0: cost 1 inf + 0
51.783 * * [simplify]: Extracting #1: cost 9 inf + 0
51.783 * * [simplify]: Extracting #2: cost 15 inf + 3
51.783 * * [simplify]: Extracting #3: cost 11 inf + 131
51.783 * * [simplify]: Extracting #4: cost 2 inf + 711
51.784 * * [simplify]: Extracting #5: cost 0 inf + 836
51.784 * [simplify]: Simplified to (- 1/4 (/ k 4))
51.784 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (sqrt k))))
51.785 * * * * [progress]: [ 78 / 220 ] 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 (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)) (sqrt k))))>
51.785 * [simplify]: Simplifying (/ 1 2)
51.785 * * [simplify]: iters left: 2 (3 enodes)
51.788 * * [simplify]: iters left: 1 (12 enodes)
51.792 * * [simplify]: Extracting #0: cost 1 inf + 0
51.792 * * [simplify]: Extracting #1: cost 0 inf + 1
51.792 * [simplify]: Simplified to 1/2
51.792 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) (sqrt k))))
51.792 * * * * [progress]: [ 79 / 220 ] 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 (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
51.793 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
51.793 * * [simplify]: iters left: 6 (8 enodes)
51.795 * * [simplify]: iters left: 5 (38 enodes)
51.802 * * [simplify]: iters left: 4 (66 enodes)
51.813 * * [simplify]: iters left: 3 (110 enodes)
51.841 * * [simplify]: iters left: 2 (200 enodes)
51.927 * * [simplify]: iters left: 1 (403 enodes)
52.106 * * [simplify]: Extracting #0: cost 1 inf + 0
52.106 * * [simplify]: Extracting #1: cost 26 inf + 0
52.107 * * [simplify]: Extracting #2: cost 100 inf + 2
52.108 * * [simplify]: Extracting #3: cost 164 inf + 10
52.109 * * [simplify]: Extracting #4: cost 157 inf + 1472
52.116 * * [simplify]: Extracting #5: cost 64 inf + 19273
52.131 * * [simplify]: Extracting #6: cost 8 inf + 47461
52.149 * * [simplify]: Extracting #7: cost 0 inf + 52807
52.166 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
52.166 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt k))))
52.167 * * * * [progress]: [ 80 / 220 ] 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 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (sqrt k))))>
52.167 * * * * [progress]: [ 81 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
52.167 * * * * [progress]: [ 82 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
52.167 * * * * [progress]: [ 83 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
52.167 * * * * [progress]: [ 84 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
52.167 * * * * [progress]: [ 85 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
52.167 * * * * [progress]: [ 86 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))))>
52.167 * * * * [progress]: [ 87 / 220 ] 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) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt k))))>
52.167 * * * * [progress]: [ 88 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (sqrt k))))>
52.168 * * * * [progress]: [ 89 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (+ (+ (log (cbrt (* n (* 2 PI)))) (log (cbrt (* n (* 2 PI))))) (log (cbrt (* n (* 2 PI))))) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
52.168 * [simplify]: Simplifying (* (+ (+ (log (cbrt (* n (* 2 PI)))) (log (cbrt (* n (* 2 PI))))) (log (cbrt (* n (* 2 PI))))) (/ (/ (- 1 k) 2) 2))
52.168 * * [simplify]: iters left: 6 (15 enodes)
52.177 * * [simplify]: iters left: 5 (64 enodes)
52.198 * * [simplify]: iters left: 4 (106 enodes)
52.230 * * [simplify]: iters left: 3 (171 enodes)
52.270 * * [simplify]: iters left: 2 (276 enodes)
52.370 * * [simplify]: Extracting #0: cost 1 inf + 0
52.371 * * [simplify]: Extracting #1: cost 41 inf + 0
52.371 * * [simplify]: Extracting #2: cost 120 inf + 4
52.371 * * [simplify]: Extracting #3: cost 133 inf + 1901
52.372 * * [simplify]: Extracting #4: cost 117 inf + 4158
52.374 * * [simplify]: Extracting #5: cost 104 inf + 7354
52.380 * * [simplify]: Extracting #6: cost 19 inf + 37315
52.390 * * [simplify]: Extracting #7: cost 0 inf + 44169
52.403 * * [simplify]: Extracting #8: cost 0 inf + 44168
52.412 * [simplify]: Simplified to (/ (- (+ (+ (log (cbrt (* (* PI 2) n))) (log (cbrt (* (* PI 2) n)))) (log (cbrt (* (* PI 2) n)))) (* (+ (+ (log (cbrt (* (* PI 2) n))) (log (cbrt (* (* PI 2) n)))) (log (cbrt (* (* PI 2) n)))) k)) 4)
52.413 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (- (+ (+ (log (cbrt (* (* PI 2) n))) (log (cbrt (* (* PI 2) n)))) (log (cbrt (* (* PI 2) n)))) (* (+ (+ (log (cbrt (* (* PI 2) n))) (log (cbrt (* (* PI 2) n)))) (log (cbrt (* (* PI 2) n)))) k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
52.413 * * * * [progress]: [ 90 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (+ (log (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))) (log (cbrt (* n (* 2 PI))))) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
52.413 * [simplify]: Simplifying (* (+ (log (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))) (log (cbrt (* n (* 2 PI))))) (/ (/ (- 1 k) 2) 2))
52.413 * * [simplify]: iters left: 6 (16 enodes)
52.418 * * [simplify]: iters left: 5 (68 enodes)
52.430 * * [simplify]: iters left: 4 (110 enodes)
52.458 * * [simplify]: iters left: 3 (175 enodes)
52.496 * * [simplify]: iters left: 2 (280 enodes)
52.552 * * [simplify]: Extracting #0: cost 1 inf + 0
52.552 * * [simplify]: Extracting #1: cost 41 inf + 0
52.553 * * [simplify]: Extracting #2: cost 120 inf + 4
52.554 * * [simplify]: Extracting #3: cost 138 inf + 1489
52.556 * * [simplify]: Extracting #4: cost 120 inf + 3995
52.559 * * [simplify]: Extracting #5: cost 111 inf + 5788
52.565 * * [simplify]: Extracting #6: cost 68 inf + 19035
52.579 * * [simplify]: Extracting #7: cost 16 inf + 40265
52.589 * * [simplify]: Extracting #8: cost 0 inf + 47120
52.599 * [simplify]: Simplified to (* (log (cbrt (* (* PI 2) n))) (+ (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (/ (- 1 k) 4)))
52.599 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (* (log (cbrt (* (* PI 2) n))) (+ (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (/ (- 1 k) 4)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
52.599 * * * * [progress]: [ 91 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (log (* (* (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))))>
52.599 * [simplify]: Simplifying (* (log (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI))))) (/ (/ (- 1 k) 2) 2))
52.599 * * [simplify]: iters left: 6 (15 enodes)
52.604 * * [simplify]: iters left: 5 (67 enodes)
52.626 * * [simplify]: iters left: 4 (115 enodes)
52.665 * * [simplify]: iters left: 3 (189 enodes)
52.726 * * [simplify]: iters left: 2 (342 enodes)
52.868 * * [simplify]: Extracting #0: cost 1 inf + 0
52.869 * * [simplify]: Extracting #1: cost 69 inf + 0
52.870 * * [simplify]: Extracting #2: cost 252 inf + 6
52.872 * * [simplify]: Extracting #3: cost 311 inf + 1258
52.877 * * [simplify]: Extracting #4: cost 229 inf + 12423
52.890 * * [simplify]: Extracting #5: cost 83 inf + 45119
52.915 * * [simplify]: Extracting #6: cost 15 inf + 66777
52.936 * * [simplify]: Extracting #7: cost 0 inf + 72769
52.950 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) k)) 4)
52.950 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (- (log (* (* PI 2) n)) (* (log (* (* PI 2) n)) k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
52.950 * * * * [progress]: [ 92 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (log (* (* (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))))>
52.950 * * * * [progress]: [ 93 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (* (+ (+ 1/3 1/3) 1/3) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
52.951 * [simplify]: Simplifying (* n (* 2 PI))
52.951 * * [simplify]: iters left: 4 (5 enodes)
52.952 * * [simplify]: iters left: 3 (19 enodes)
52.955 * * [simplify]: iters left: 2 (27 enodes)
52.961 * * [simplify]: iters left: 1 (32 enodes)
52.965 * * [simplify]: Extracting #0: cost 1 inf + 0
52.966 * * [simplify]: Extracting #1: cost 8 inf + 0
52.966 * * [simplify]: Extracting #2: cost 7 inf + 45
52.966 * * [simplify]: Extracting #3: cost 0 inf + 421
52.966 * [simplify]: Simplified to (* (* PI 2) n)
52.966 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* (+ (+ 1/3 1/3) 1/3) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
52.966 * * * * [progress]: [ 94 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* n (* 2 PI))) (* (+ (+ 1 1) 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
52.966 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
52.966 * * [simplify]: iters left: 5 (6 enodes)
52.968 * * [simplify]: iters left: 4 (22 enodes)
52.971 * * [simplify]: iters left: 3 (30 enodes)
52.975 * * [simplify]: iters left: 2 (35 enodes)
52.980 * * [simplify]: Extracting #0: cost 1 inf + 0
52.980 * * [simplify]: Extracting #1: cost 3 inf + 0
52.980 * * [simplify]: Extracting #2: cost 10 inf + 0
52.980 * * [simplify]: Extracting #3: cost 10 inf + 3
52.980 * * [simplify]: Extracting #4: cost 6 inf + 171
52.980 * * [simplify]: Extracting #5: cost 1 inf + 584
52.980 * * [simplify]: Extracting #6: cost 0 inf + 747
52.980 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
52.980 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* PI 2) n)) (* (+ (+ 1 1) 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
52.980 * * * * [progress]: [ 95 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* n (* 2 PI))) (* (+ 2 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
52.981 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
52.981 * * [simplify]: iters left: 5 (6 enodes)
52.982 * * [simplify]: iters left: 4 (22 enodes)
52.986 * * [simplify]: iters left: 3 (30 enodes)
52.990 * * [simplify]: iters left: 2 (35 enodes)
52.994 * * [simplify]: Extracting #0: cost 1 inf + 0
52.994 * * [simplify]: Extracting #1: cost 3 inf + 0
52.994 * * [simplify]: Extracting #2: cost 10 inf + 0
52.994 * * [simplify]: Extracting #3: cost 10 inf + 3
52.994 * * [simplify]: Extracting #4: cost 6 inf + 171
52.994 * * [simplify]: Extracting #5: cost 1 inf + 584
52.995 * * [simplify]: Extracting #6: cost 0 inf + 747
52.995 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
52.995 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* PI 2) n)) (* (+ 2 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
52.995 * * * * [progress]: [ 96 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* n (* 2 PI))) (* (+ (+ 1 1) 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
52.995 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
52.995 * * [simplify]: iters left: 5 (6 enodes)
52.997 * * [simplify]: iters left: 4 (22 enodes)
53.000 * * [simplify]: iters left: 3 (30 enodes)
53.004 * * [simplify]: iters left: 2 (35 enodes)
53.011 * * [simplify]: Extracting #0: cost 1 inf + 0
53.011 * * [simplify]: Extracting #1: cost 3 inf + 0
53.011 * * [simplify]: Extracting #2: cost 10 inf + 0
53.011 * * [simplify]: Extracting #3: cost 10 inf + 3
53.011 * * [simplify]: Extracting #4: cost 6 inf + 171
53.011 * * [simplify]: Extracting #5: cost 1 inf + 584
53.011 * * [simplify]: Extracting #6: cost 0 inf + 747
53.011 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
53.011 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* PI 2) n)) (* (+ (+ 1 1) 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
53.012 * * * * [progress]: [ 97 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (* (+ (* 2 1/3) 1/3) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
53.012 * [simplify]: Simplifying (* n (* 2 PI))
53.012 * * [simplify]: iters left: 4 (5 enodes)
53.013 * * [simplify]: iters left: 3 (19 enodes)
53.016 * * [simplify]: iters left: 2 (27 enodes)
53.020 * * [simplify]: iters left: 1 (32 enodes)
53.024 * * [simplify]: Extracting #0: cost 1 inf + 0
53.024 * * [simplify]: Extracting #1: cost 8 inf + 0
53.024 * * [simplify]: Extracting #2: cost 7 inf + 45
53.024 * * [simplify]: Extracting #3: cost 0 inf + 421
53.024 * [simplify]: Simplified to (* (* PI 2) n)
53.024 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* (+ (* 2 1/3) 1/3) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
53.024 * * * * [progress]: [ 98 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* n (* 2 PI))) (* (+ (* 2 1) 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
53.024 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
53.024 * * [simplify]: iters left: 5 (6 enodes)
53.026 * * [simplify]: iters left: 4 (22 enodes)
53.029 * * [simplify]: iters left: 3 (30 enodes)
53.033 * * [simplify]: iters left: 2 (35 enodes)
53.039 * * [simplify]: Extracting #0: cost 1 inf + 0
53.039 * * [simplify]: Extracting #1: cost 3 inf + 0
53.039 * * [simplify]: Extracting #2: cost 10 inf + 0
53.039 * * [simplify]: Extracting #3: cost 10 inf + 3
53.039 * * [simplify]: Extracting #4: cost 6 inf + 171
53.040 * * [simplify]: Extracting #5: cost 1 inf + 584
53.040 * * [simplify]: Extracting #6: cost 0 inf + 747
53.040 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
53.040 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* PI 2) n)) (* (+ (* 2 1) 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
53.040 * * * * [progress]: [ 99 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) (* 1/3 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
53.040 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
53.040 * * [simplify]: iters left: 6 (7 enodes)
53.043 * * [simplify]: iters left: 5 (35 enodes)
53.050 * * [simplify]: iters left: 4 (120 enodes)
53.094 * * [simplify]: iters left: 3 (434 enodes)
53.457 * * [simplify]: Extracting #0: cost 1 inf + 0
53.457 * * [simplify]: Extracting #1: cost 75 inf + 0
53.459 * * [simplify]: Extracting #2: cost 188 inf + 579
53.468 * * [simplify]: Extracting #3: cost 77 inf + 16228
53.484 * * [simplify]: Extracting #4: cost 1 inf + 27462
53.503 * * [simplify]: Extracting #5: cost 0 inf + 27292
53.523 * [simplify]: Simplified to (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
53.523 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n))) (* 1/3 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
53.523 * * * * [progress]: [ 100 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
53.524 * [simplify]: Simplifying (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI))))
53.524 * * [simplify]: iters left: 6 (8 enodes)
53.528 * * [simplify]: iters left: 5 (29 enodes)
53.537 * * [simplify]: iters left: 4 (39 enodes)
53.550 * * [simplify]: iters left: 3 (50 enodes)
53.570 * * [simplify]: iters left: 2 (62 enodes)
53.582 * * [simplify]: iters left: 1 (90 enodes)
53.598 * * [simplify]: Extracting #0: cost 1 inf + 0
53.598 * * [simplify]: Extracting #1: cost 14 inf + 0
53.598 * * [simplify]: Extracting #2: cost 23 inf + 46
53.598 * * [simplify]: Extracting #3: cost 17 inf + 504
53.599 * * [simplify]: Extracting #4: cost 7 inf + 3903
53.599 * * [simplify]: Extracting #5: cost 1 inf + 6527
53.600 * * [simplify]: Extracting #6: cost 0 inf + 6901
53.602 * [simplify]: Simplified to (* (* n PI) 2)
53.602 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* n PI) 2) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
53.602 * * * * [progress]: [ 101 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
53.602 * [simplify]: Simplifying (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI))))
53.603 * * [simplify]: iters left: 6 (8 enodes)
53.607 * * [simplify]: iters left: 5 (29 enodes)
53.614 * * [simplify]: iters left: 4 (39 enodes)
53.622 * * [simplify]: iters left: 3 (50 enodes)
53.629 * * [simplify]: iters left: 2 (62 enodes)
53.641 * * [simplify]: iters left: 1 (90 enodes)
53.664 * * [simplify]: Extracting #0: cost 1 inf + 0
53.664 * * [simplify]: Extracting #1: cost 14 inf + 0
53.664 * * [simplify]: Extracting #2: cost 23 inf + 46
53.664 * * [simplify]: Extracting #3: cost 17 inf + 504
53.665 * * [simplify]: Extracting #4: cost 7 inf + 3903
53.665 * * [simplify]: Extracting #5: cost 1 inf + 6527
53.666 * * [simplify]: Extracting #6: cost 0 inf + 6901
53.667 * [simplify]: Simplified to (* (* n PI) 2)
53.667 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* n PI) 2) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
53.667 * * * * [progress]: [ 102 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* n (* 2 PI))) (* 3 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
53.668 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
53.668 * * [simplify]: iters left: 5 (6 enodes)
53.669 * * [simplify]: iters left: 4 (22 enodes)
53.673 * * [simplify]: iters left: 3 (30 enodes)
53.677 * * [simplify]: iters left: 2 (35 enodes)
53.682 * * [simplify]: Extracting #0: cost 1 inf + 0
53.682 * * [simplify]: Extracting #1: cost 3 inf + 0
53.682 * * [simplify]: Extracting #2: cost 10 inf + 0
53.682 * * [simplify]: Extracting #3: cost 10 inf + 3
53.682 * * [simplify]: Extracting #4: cost 6 inf + 171
53.682 * * [simplify]: Extracting #5: cost 1 inf + 584
53.683 * * [simplify]: Extracting #6: cost 0 inf + 747
53.683 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
53.683 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* PI 2) n)) (* 3 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
53.683 * * * * [progress]: [ 103 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* n (* 2 PI))) (* (+ (+ 1 1) 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
53.684 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
53.684 * * [simplify]: iters left: 5 (6 enodes)
53.687 * * [simplify]: iters left: 4 (22 enodes)
53.694 * * [simplify]: iters left: 3 (30 enodes)
53.699 * * [simplify]: iters left: 2 (35 enodes)
53.703 * * [simplify]: Extracting #0: cost 1 inf + 0
53.704 * * [simplify]: Extracting #1: cost 3 inf + 0
53.704 * * [simplify]: Extracting #2: cost 10 inf + 0
53.704 * * [simplify]: Extracting #3: cost 10 inf + 3
53.704 * * [simplify]: Extracting #4: cost 6 inf + 171
53.704 * * [simplify]: Extracting #5: cost 1 inf + 584
53.704 * * [simplify]: Extracting #6: cost 0 inf + 747
53.704 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
53.704 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* PI 2) n)) (* (+ (+ 1 1) 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
53.704 * * * * [progress]: [ 104 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* n (* 2 PI))) (* (+ 2 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
53.705 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
53.705 * * [simplify]: iters left: 5 (6 enodes)
53.706 * * [simplify]: iters left: 4 (22 enodes)
53.709 * * [simplify]: iters left: 3 (30 enodes)
53.713 * * [simplify]: iters left: 2 (35 enodes)
53.717 * * [simplify]: Extracting #0: cost 1 inf + 0
53.717 * * [simplify]: Extracting #1: cost 3 inf + 0
53.717 * * [simplify]: Extracting #2: cost 10 inf + 0
53.718 * * [simplify]: Extracting #3: cost 10 inf + 3
53.718 * * [simplify]: Extracting #4: cost 6 inf + 171
53.718 * * [simplify]: Extracting #5: cost 1 inf + 584
53.718 * * [simplify]: Extracting #6: cost 0 inf + 747
53.718 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
53.718 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* PI 2) n)) (* (+ 2 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
53.718 * * * * [progress]: [ 105 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* n (* 2 PI))) (* (+ (+ 1 1) 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
53.718 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
53.718 * * [simplify]: iters left: 5 (6 enodes)
53.720 * * [simplify]: iters left: 4 (22 enodes)
53.723 * * [simplify]: iters left: 3 (30 enodes)
53.731 * * [simplify]: iters left: 2 (35 enodes)
53.739 * * [simplify]: Extracting #0: cost 1 inf + 0
53.740 * * [simplify]: Extracting #1: cost 3 inf + 0
53.740 * * [simplify]: Extracting #2: cost 10 inf + 0
53.740 * * [simplify]: Extracting #3: cost 10 inf + 3
53.740 * * [simplify]: Extracting #4: cost 6 inf + 171
53.740 * * [simplify]: Extracting #5: cost 1 inf + 584
53.740 * * [simplify]: Extracting #6: cost 0 inf + 747
53.741 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
53.741 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* PI 2) n)) (* (+ (+ 1 1) 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
53.741 * * * * [progress]: [ 106 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (cbrt (* n (* 2 PI))) (* (+ (* 2 1) 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
53.741 * [simplify]: Simplifying (cbrt (* n (* 2 PI)))
53.741 * * [simplify]: iters left: 5 (6 enodes)
53.742 * * [simplify]: iters left: 4 (22 enodes)
53.746 * * [simplify]: iters left: 3 (30 enodes)
53.752 * * [simplify]: iters left: 2 (35 enodes)
53.756 * * [simplify]: Extracting #0: cost 1 inf + 0
53.756 * * [simplify]: Extracting #1: cost 3 inf + 0
53.756 * * [simplify]: Extracting #2: cost 10 inf + 0
53.756 * * [simplify]: Extracting #3: cost 10 inf + 3
53.756 * * [simplify]: Extracting #4: cost 6 inf + 171
53.757 * * [simplify]: Extracting #5: cost 1 inf + 584
53.757 * * [simplify]: Extracting #6: cost 0 inf + 747
53.757 * [simplify]: Simplified to (cbrt (* (* PI 2) n))
53.757 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (cbrt (* (* PI 2) n)) (* (+ (* 2 1) 1) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
53.757 * * * * [progress]: [ 107 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
53.757 * [simplify]: Simplifying (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI))))
53.757 * * [simplify]: iters left: 6 (8 enodes)
53.759 * * [simplify]: iters left: 5 (29 enodes)
53.764 * * [simplify]: iters left: 4 (39 enodes)
53.772 * * [simplify]: iters left: 3 (50 enodes)
53.784 * * [simplify]: iters left: 2 (62 enodes)
53.795 * * [simplify]: iters left: 1 (90 enodes)
53.813 * * [simplify]: Extracting #0: cost 1 inf + 0
53.813 * * [simplify]: Extracting #1: cost 14 inf + 0
53.814 * * [simplify]: Extracting #2: cost 23 inf + 46
53.814 * * [simplify]: Extracting #3: cost 17 inf + 504
53.815 * * [simplify]: Extracting #4: cost 7 inf + 3903
53.816 * * [simplify]: Extracting #5: cost 1 inf + 6527
53.818 * * [simplify]: Extracting #6: cost 0 inf + 6901
53.819 * [simplify]: Simplified to (* (* n PI) 2)
53.819 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* n PI) 2) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
53.819 * * * * [progress]: [ 108 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 2) 2)) (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ k 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
53.820 * [simplify]: Simplifying (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ k 2) 2))
53.820 * * [simplify]: iters left: 6 (12 enodes)
53.827 * * [simplify]: iters left: 5 (47 enodes)
53.835 * * [simplify]: iters left: 4 (69 enodes)
53.848 * * [simplify]: iters left: 3 (111 enodes)
53.875 * * [simplify]: iters left: 2 (197 enodes)
53.923 * * [simplify]: iters left: 1 (382 enodes)
54.091 * * [simplify]: Extracting #0: cost 1 inf + 0
54.091 * * [simplify]: Extracting #1: cost 26 inf + 0
54.092 * * [simplify]: Extracting #2: cost 113 inf + 1
54.093 * * [simplify]: Extracting #3: cost 149 inf + 220
54.096 * * [simplify]: Extracting #4: cost 95 inf + 6250
54.105 * * [simplify]: Extracting #5: cost 34 inf + 35100
54.122 * * [simplify]: Extracting #6: cost 1 inf + 61194
54.141 * * [simplify]: Extracting #7: cost 0 inf + 61220
54.158 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
54.158 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
54.158 * * * * [progress]: [ 109 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.158 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
54.159 * * [simplify]: iters left: 6 (7 enodes)
54.164 * * [simplify]: iters left: 5 (32 enodes)
54.175 * * [simplify]: iters left: 4 (47 enodes)
54.187 * * [simplify]: iters left: 3 (53 enodes)
54.195 * * [simplify]: iters left: 2 (60 enodes)
54.203 * * [simplify]: Extracting #0: cost 1 inf + 0
54.203 * * [simplify]: Extracting #1: cost 3 inf + 0
54.203 * * [simplify]: Extracting #2: cost 11 inf + 0
54.203 * * [simplify]: Extracting #3: cost 17 inf + 3
54.203 * * [simplify]: Extracting #4: cost 14 inf + 129
54.204 * * [simplify]: Extracting #5: cost 3 inf + 794
54.204 * * [simplify]: Extracting #6: cost 0 inf + 1162
54.204 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
54.204 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.204 * * * * [progress]: [ 110 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
54.205 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
54.205 * * [simplify]: iters left: 6 (7 enodes)
54.207 * * [simplify]: iters left: 5 (32 enodes)
54.213 * * [simplify]: iters left: 4 (47 enodes)
54.226 * * [simplify]: iters left: 3 (53 enodes)
54.239 * * [simplify]: iters left: 2 (60 enodes)
54.247 * * [simplify]: Extracting #0: cost 1 inf + 0
54.247 * * [simplify]: Extracting #1: cost 3 inf + 0
54.247 * * [simplify]: Extracting #2: cost 11 inf + 0
54.247 * * [simplify]: Extracting #3: cost 17 inf + 3
54.248 * * [simplify]: Extracting #4: cost 14 inf + 129
54.248 * * [simplify]: Extracting #5: cost 3 inf + 794
54.248 * * [simplify]: Extracting #6: cost 0 inf + 1082
54.248 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
54.248 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
54.248 * * * * [progress]: [ 111 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.249 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
54.249 * * [simplify]: iters left: 6 (8 enodes)
54.253 * * [simplify]: iters left: 5 (32 enodes)
54.258 * * [simplify]: iters left: 4 (41 enodes)
54.264 * * [simplify]: Extracting #0: cost 1 inf + 0
54.264 * * [simplify]: Extracting #1: cost 4 inf + 0
54.264 * * [simplify]: Extracting #2: cost 8 inf + 0
54.264 * * [simplify]: Extracting #3: cost 9 inf + 163
54.264 * * [simplify]: Extracting #4: cost 13 inf + 164
54.264 * * [simplify]: Extracting #5: cost 10 inf + 249
54.264 * * [simplify]: Extracting #6: cost 3 inf + 986
54.265 * * [simplify]: Extracting #7: cost 0 inf + 1474
54.265 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
54.265 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.265 * * * * [progress]: [ 112 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.265 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
54.265 * * [simplify]: iters left: 6 (8 enodes)
54.268 * * [simplify]: iters left: 5 (32 enodes)
54.274 * * [simplify]: iters left: 4 (41 enodes)
54.280 * * [simplify]: Extracting #0: cost 1 inf + 0
54.280 * * [simplify]: Extracting #1: cost 4 inf + 0
54.280 * * [simplify]: Extracting #2: cost 8 inf + 0
54.280 * * [simplify]: Extracting #3: cost 9 inf + 83
54.280 * * [simplify]: Extracting #4: cost 13 inf + 84
54.280 * * [simplify]: Extracting #5: cost 10 inf + 169
54.280 * * [simplify]: Extracting #6: cost 3 inf + 866
54.280 * * [simplify]: Extracting #7: cost 0 inf + 1314
54.281 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
54.281 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.281 * * * * [progress]: [ 113 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.281 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
54.281 * * [simplify]: iters left: 6 (7 enodes)
54.283 * * [simplify]: iters left: 5 (29 enodes)
54.288 * * [simplify]: iters left: 4 (38 enodes)
54.298 * * [simplify]: Extracting #0: cost 1 inf + 0
54.298 * * [simplify]: Extracting #1: cost 4 inf + 0
54.298 * * [simplify]: Extracting #2: cost 5 inf + 1
54.298 * * [simplify]: Extracting #3: cost 9 inf + 1
54.298 * * [simplify]: Extracting #4: cost 13 inf + 2
54.298 * * [simplify]: Extracting #5: cost 12 inf + 4
54.299 * * [simplify]: Extracting #6: cost 2 inf + 746
54.299 * * [simplify]: Extracting #7: cost 0 inf + 1152
54.299 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
54.300 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.300 * * * * [progress]: [ 114 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.300 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
54.300 * * [simplify]: iters left: 6 (8 enodes)
54.305 * * [simplify]: iters left: 5 (32 enodes)
54.315 * * [simplify]: iters left: 4 (41 enodes)
54.327 * * [simplify]: Extracting #0: cost 1 inf + 0
54.327 * * [simplify]: Extracting #1: cost 4 inf + 0
54.329 * * [simplify]: Extracting #2: cost 8 inf + 0
54.330 * * [simplify]: Extracting #3: cost 9 inf + 163
54.330 * * [simplify]: Extracting #4: cost 13 inf + 164
54.330 * * [simplify]: Extracting #5: cost 10 inf + 249
54.330 * * [simplify]: Extracting #6: cost 3 inf + 906
54.331 * * [simplify]: Extracting #7: cost 0 inf + 1314
54.331 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
54.331 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.331 * * * * [progress]: [ 115 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.332 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
54.332 * * [simplify]: iters left: 6 (8 enodes)
54.337 * * [simplify]: iters left: 5 (32 enodes)
54.348 * * [simplify]: iters left: 4 (41 enodes)
54.359 * * [simplify]: Extracting #0: cost 1 inf + 0
54.359 * * [simplify]: Extracting #1: cost 4 inf + 0
54.360 * * [simplify]: Extracting #2: cost 8 inf + 0
54.360 * * [simplify]: Extracting #3: cost 9 inf + 83
54.360 * * [simplify]: Extracting #4: cost 13 inf + 84
54.360 * * [simplify]: Extracting #5: cost 10 inf + 169
54.360 * * [simplify]: Extracting #6: cost 3 inf + 786
54.361 * * [simplify]: Extracting #7: cost 0 inf + 1154
54.361 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
54.361 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.362 * * * * [progress]: [ 116 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
54.362 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
54.362 * * [simplify]: iters left: 6 (7 enodes)
54.367 * * [simplify]: iters left: 5 (29 enodes)
54.379 * * [simplify]: iters left: 4 (38 enodes)
54.390 * * [simplify]: Extracting #0: cost 1 inf + 0
54.390 * * [simplify]: Extracting #1: cost 4 inf + 0
54.390 * * [simplify]: Extracting #2: cost 5 inf + 1
54.390 * * [simplify]: Extracting #3: cost 9 inf + 1
54.390 * * [simplify]: Extracting #4: cost 13 inf + 2
54.390 * * [simplify]: Extracting #5: cost 12 inf + 4
54.391 * * [simplify]: Extracting #6: cost 2 inf + 666
54.391 * * [simplify]: Extracting #7: cost 0 inf + 992
54.391 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
54.391 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
54.392 * * * * [progress]: [ 117 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.392 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
54.392 * * [simplify]: iters left: 6 (8 enodes)
54.397 * * [simplify]: iters left: 5 (30 enodes)
54.407 * * [simplify]: iters left: 4 (37 enodes)
54.418 * * [simplify]: Extracting #0: cost 1 inf + 0
54.418 * * [simplify]: Extracting #1: cost 6 inf + 0
54.418 * * [simplify]: Extracting #2: cost 12 inf + 0
54.418 * * [simplify]: Extracting #3: cost 11 inf + 405
54.419 * * [simplify]: Extracting #4: cost 10 inf + 407
54.419 * * [simplify]: Extracting #5: cost 4 inf + 1220
54.419 * * [simplify]: Extracting #6: cost 0 inf + 1869
54.420 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
54.420 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.420 * * * * [progress]: [ 118 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.421 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
54.421 * * [simplify]: iters left: 6 (9 enodes)
54.426 * * [simplify]: iters left: 5 (33 enodes)
54.438 * * [simplify]: iters left: 4 (43 enodes)
54.451 * * [simplify]: iters left: 3 (45 enodes)
54.465 * * [simplify]: Extracting #0: cost 1 inf + 0
54.465 * * [simplify]: Extracting #1: cost 8 inf + 0
54.465 * * [simplify]: Extracting #2: cost 16 inf + 0
54.465 * * [simplify]: Extracting #3: cost 16 inf + 284
54.465 * * [simplify]: Extracting #4: cost 11 inf + 610
54.466 * * [simplify]: Extracting #5: cost 8 inf + 815
54.466 * * [simplify]: Extracting #6: cost 0 inf + 2517
54.467 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
54.467 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.467 * * * * [progress]: [ 119 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.468 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
54.468 * * [simplify]: iters left: 6 (8 enodes)
54.472 * * [simplify]: iters left: 5 (30 enodes)
54.479 * * [simplify]: iters left: 4 (40 enodes)
54.485 * * [simplify]: iters left: 3 (42 enodes)
54.492 * * [simplify]: Extracting #0: cost 1 inf + 0
54.492 * * [simplify]: Extracting #1: cost 8 inf + 0
54.492 * * [simplify]: Extracting #2: cost 12 inf + 82
54.492 * * [simplify]: Extracting #3: cost 13 inf + 405
54.492 * * [simplify]: Extracting #4: cost 12 inf + 407
54.492 * * [simplify]: Extracting #5: cost 5 inf + 1383
54.492 * * [simplify]: Extracting #6: cost 0 inf + 2195
54.493 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
54.493 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.493 * * * * [progress]: [ 120 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.493 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
54.493 * * [simplify]: iters left: 6 (9 enodes)
54.496 * * [simplify]: iters left: 5 (33 enodes)
54.502 * * [simplify]: iters left: 4 (43 enodes)
54.515 * * [simplify]: iters left: 3 (45 enodes)
54.528 * * [simplify]: Extracting #0: cost 1 inf + 0
54.528 * * [simplify]: Extracting #1: cost 8 inf + 0
54.528 * * [simplify]: Extracting #2: cost 16 inf + 0
54.529 * * [simplify]: Extracting #3: cost 16 inf + 284
54.529 * * [simplify]: Extracting #4: cost 11 inf + 610
54.529 * * [simplify]: Extracting #5: cost 8 inf + 815
54.530 * * [simplify]: Extracting #6: cost 0 inf + 2517
54.530 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
54.530 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.531 * * * * [progress]: [ 121 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.531 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
54.531 * * [simplify]: iters left: 6 (8 enodes)
54.536 * * [simplify]: iters left: 5 (30 enodes)
54.542 * * [simplify]: iters left: 4 (35 enodes)
54.547 * * [simplify]: Extracting #0: cost 1 inf + 0
54.547 * * [simplify]: Extracting #1: cost 6 inf + 0
54.547 * * [simplify]: Extracting #2: cost 8 inf + 42
54.547 * * [simplify]: Extracting #3: cost 11 inf + 83
54.547 * * [simplify]: Extracting #4: cost 10 inf + 85
54.547 * * [simplify]: Extracting #5: cost 4 inf + 658
54.547 * * [simplify]: Extracting #6: cost 0 inf + 1227
54.548 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
54.548 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.548 * * * * [progress]: [ 122 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.548 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
54.548 * * [simplify]: iters left: 6 (8 enodes)
54.550 * * [simplify]: iters left: 5 (30 enodes)
54.555 * * [simplify]: iters left: 4 (40 enodes)
54.561 * * [simplify]: iters left: 3 (42 enodes)
54.568 * * [simplify]: Extracting #0: cost 1 inf + 0
54.568 * * [simplify]: Extracting #1: cost 8 inf + 0
54.568 * * [simplify]: Extracting #2: cost 12 inf + 42
54.568 * * [simplify]: Extracting #3: cost 13 inf + 245
54.569 * * [simplify]: Extracting #4: cost 12 inf + 247
54.569 * * [simplify]: Extracting #5: cost 5 inf + 1143
54.570 * * [simplify]: Extracting #6: cost 0 inf + 1875
54.570 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
54.570 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.570 * * * * [progress]: [ 123 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.571 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
54.571 * * [simplify]: iters left: 6 (8 enodes)
54.575 * * [simplify]: iters left: 5 (30 enodes)
54.583 * * [simplify]: iters left: 4 (40 enodes)
54.589 * * [simplify]: iters left: 3 (42 enodes)
54.595 * * [simplify]: Extracting #0: cost 1 inf + 0
54.596 * * [simplify]: Extracting #1: cost 8 inf + 0
54.596 * * [simplify]: Extracting #2: cost 11 inf + 203
54.596 * * [simplify]: Extracting #3: cost 13 inf + 405
54.596 * * [simplify]: Extracting #4: cost 12 inf + 407
54.596 * * [simplify]: Extracting #5: cost 3 inf + 1789
54.596 * * [simplify]: Extracting #6: cost 0 inf + 2195
54.597 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
54.597 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.597 * * * * [progress]: [ 124 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.597 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
54.597 * * [simplify]: iters left: 6 (8 enodes)
54.600 * * [simplify]: iters left: 5 (30 enodes)
54.605 * * [simplify]: iters left: 4 (40 enodes)
54.614 * * [simplify]: iters left: 3 (42 enodes)
54.628 * * [simplify]: Extracting #0: cost 1 inf + 0
54.628 * * [simplify]: Extracting #1: cost 8 inf + 0
54.628 * * [simplify]: Extracting #2: cost 11 inf + 123
54.628 * * [simplify]: Extracting #3: cost 13 inf + 245
54.628 * * [simplify]: Extracting #4: cost 12 inf + 247
54.629 * * [simplify]: Extracting #5: cost 3 inf + 1509
54.629 * * [simplify]: Extracting #6: cost 0 inf + 1875
54.630 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
54.630 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.630 * * * * [progress]: [ 125 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.631 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
54.631 * * [simplify]: iters left: 6 (7 enodes)
54.635 * * [simplify]: iters left: 5 (28 enodes)
54.644 * * [simplify]: iters left: 4 (35 enodes)
54.653 * * [simplify]: Extracting #0: cost 1 inf + 0
54.654 * * [simplify]: Extracting #1: cost 6 inf + 0
54.654 * * [simplify]: Extracting #2: cost 7 inf + 2
54.654 * * [simplify]: Extracting #3: cost 11 inf + 2
54.654 * * [simplify]: Extracting #4: cost 9 inf + 45
54.655 * * [simplify]: Extracting #5: cost 4 inf + 455
54.655 * * [simplify]: Extracting #6: cost 0 inf + 1066
54.655 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
54.655 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.656 * * * * [progress]: [ 126 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.656 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
54.656 * * [simplify]: iters left: 6 (8 enodes)
54.661 * * [simplify]: iters left: 5 (30 enodes)
54.670 * * [simplify]: iters left: 4 (37 enodes)
54.681 * * [simplify]: Extracting #0: cost 1 inf + 0
54.681 * * [simplify]: Extracting #1: cost 6 inf + 0
54.681 * * [simplify]: Extracting #2: cost 12 inf + 0
54.681 * * [simplify]: Extracting #3: cost 11 inf + 405
54.682 * * [simplify]: Extracting #4: cost 10 inf + 407
54.682 * * [simplify]: Extracting #5: cost 4 inf + 1100
54.682 * * [simplify]: Extracting #6: cost 0 inf + 1629
54.683 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
54.683 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.683 * * * * [progress]: [ 127 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.683 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
54.684 * * [simplify]: iters left: 6 (9 enodes)
54.689 * * [simplify]: iters left: 5 (33 enodes)
54.700 * * [simplify]: iters left: 4 (43 enodes)
54.709 * * [simplify]: iters left: 3 (45 enodes)
54.716 * * [simplify]: Extracting #0: cost 1 inf + 0
54.716 * * [simplify]: Extracting #1: cost 8 inf + 0
54.716 * * [simplify]: Extracting #2: cost 16 inf + 0
54.716 * * [simplify]: Extracting #3: cost 16 inf + 284
54.716 * * [simplify]: Extracting #4: cost 11 inf + 610
54.716 * * [simplify]: Extracting #5: cost 8 inf + 775
54.717 * * [simplify]: Extracting #6: cost 0 inf + 2197
54.717 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
54.717 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.717 * * * * [progress]: [ 128 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.717 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
54.718 * * [simplify]: iters left: 6 (8 enodes)
54.720 * * [simplify]: iters left: 5 (30 enodes)
54.725 * * [simplify]: iters left: 4 (40 enodes)
54.731 * * [simplify]: iters left: 3 (42 enodes)
54.742 * * [simplify]: Extracting #0: cost 1 inf + 0
54.742 * * [simplify]: Extracting #1: cost 8 inf + 0
54.742 * * [simplify]: Extracting #2: cost 12 inf + 82
54.743 * * [simplify]: Extracting #3: cost 13 inf + 405
54.743 * * [simplify]: Extracting #4: cost 12 inf + 407
54.743 * * [simplify]: Extracting #5: cost 5 inf + 1223
54.744 * * [simplify]: Extracting #6: cost 0 inf + 1875
54.744 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
54.744 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.745 * * * * [progress]: [ 129 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.745 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
54.745 * * [simplify]: iters left: 6 (9 enodes)
54.753 * * [simplify]: iters left: 5 (33 enodes)
54.765 * * [simplify]: iters left: 4 (43 enodes)
54.778 * * [simplify]: iters left: 3 (45 enodes)
54.784 * * [simplify]: Extracting #0: cost 1 inf + 0
54.785 * * [simplify]: Extracting #1: cost 8 inf + 0
54.785 * * [simplify]: Extracting #2: cost 16 inf + 0
54.785 * * [simplify]: Extracting #3: cost 16 inf + 284
54.785 * * [simplify]: Extracting #4: cost 11 inf + 610
54.785 * * [simplify]: Extracting #5: cost 8 inf + 775
54.785 * * [simplify]: Extracting #6: cost 0 inf + 2197
54.786 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
54.786 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.786 * * * * [progress]: [ 130 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.786 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
54.786 * * [simplify]: iters left: 6 (8 enodes)
54.789 * * [simplify]: iters left: 5 (30 enodes)
54.794 * * [simplify]: iters left: 4 (35 enodes)
54.802 * * [simplify]: Extracting #0: cost 1 inf + 0
54.802 * * [simplify]: Extracting #1: cost 6 inf + 0
54.802 * * [simplify]: Extracting #2: cost 8 inf + 42
54.802 * * [simplify]: Extracting #3: cost 11 inf + 83
54.802 * * [simplify]: Extracting #4: cost 10 inf + 85
54.802 * * [simplify]: Extracting #5: cost 4 inf + 538
54.803 * * [simplify]: Extracting #6: cost 0 inf + 987
54.803 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
54.803 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.804 * * * * [progress]: [ 131 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.804 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
54.804 * * [simplify]: iters left: 6 (8 enodes)
54.809 * * [simplify]: iters left: 5 (30 enodes)
54.820 * * [simplify]: iters left: 4 (40 enodes)
54.832 * * [simplify]: iters left: 3 (42 enodes)
54.844 * * [simplify]: Extracting #0: cost 1 inf + 0
54.844 * * [simplify]: Extracting #1: cost 8 inf + 0
54.844 * * [simplify]: Extracting #2: cost 12 inf + 42
54.844 * * [simplify]: Extracting #3: cost 13 inf + 245
54.845 * * [simplify]: Extracting #4: cost 12 inf + 247
54.845 * * [simplify]: Extracting #5: cost 5 inf + 983
54.846 * * [simplify]: Extracting #6: cost 0 inf + 1555
54.846 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
54.846 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.846 * * * * [progress]: [ 132 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.847 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
54.847 * * [simplify]: iters left: 6 (8 enodes)
54.852 * * [simplify]: iters left: 5 (30 enodes)
54.862 * * [simplify]: iters left: 4 (40 enodes)
54.874 * * [simplify]: iters left: 3 (42 enodes)
54.887 * * [simplify]: Extracting #0: cost 1 inf + 0
54.887 * * [simplify]: Extracting #1: cost 8 inf + 0
54.887 * * [simplify]: Extracting #2: cost 11 inf + 203
54.887 * * [simplify]: Extracting #3: cost 13 inf + 405
54.888 * * [simplify]: Extracting #4: cost 12 inf + 407
54.888 * * [simplify]: Extracting #5: cost 3 inf + 1549
54.889 * * [simplify]: Extracting #6: cost 0 inf + 1875
54.889 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
54.889 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.890 * * * * [progress]: [ 133 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.890 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
54.890 * * [simplify]: iters left: 6 (8 enodes)
54.897 * * [simplify]: iters left: 5 (30 enodes)
54.907 * * [simplify]: iters left: 4 (40 enodes)
54.919 * * [simplify]: iters left: 3 (42 enodes)
54.931 * * [simplify]: Extracting #0: cost 1 inf + 0
54.931 * * [simplify]: Extracting #1: cost 8 inf + 0
54.931 * * [simplify]: Extracting #2: cost 11 inf + 123
54.932 * * [simplify]: Extracting #3: cost 13 inf + 245
54.932 * * [simplify]: Extracting #4: cost 12 inf + 247
54.932 * * [simplify]: Extracting #5: cost 3 inf + 1269
54.933 * * [simplify]: Extracting #6: cost 0 inf + 1555
54.933 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
54.933 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.934 * * * * [progress]: [ 134 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
54.934 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
54.934 * * [simplify]: iters left: 6 (7 enodes)
54.938 * * [simplify]: iters left: 5 (28 enodes)
54.943 * * [simplify]: iters left: 4 (35 enodes)
54.948 * * [simplify]: Extracting #0: cost 1 inf + 0
54.948 * * [simplify]: Extracting #1: cost 6 inf + 0
54.948 * * [simplify]: Extracting #2: cost 7 inf + 2
54.948 * * [simplify]: Extracting #3: cost 11 inf + 2
54.948 * * [simplify]: Extracting #4: cost 9 inf + 45
54.948 * * [simplify]: Extracting #5: cost 4 inf + 375
54.949 * * [simplify]: Extracting #6: cost 0 inf + 826
54.949 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
54.949 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
54.949 * * * * [progress]: [ 135 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.949 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
54.949 * * [simplify]: iters left: 6 (7 enodes)
54.951 * * [simplify]: iters left: 5 (30 enodes)
54.957 * * [simplify]: iters left: 4 (49 enodes)
54.964 * * [simplify]: iters left: 3 (59 enodes)
54.980 * * [simplify]: iters left: 2 (64 enodes)
54.989 * * [simplify]: Extracting #0: cost 1 inf + 0
54.989 * * [simplify]: Extracting #1: cost 9 inf + 0
54.989 * * [simplify]: Extracting #2: cost 23 inf + 0
54.989 * * [simplify]: Extracting #3: cost 24 inf + 3
54.990 * * [simplify]: Extracting #4: cost 15 inf + 980
54.990 * * [simplify]: Extracting #5: cost 1 inf + 3007
54.991 * * [simplify]: Extracting #6: cost 0 inf + 3169
54.991 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
54.991 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
54.992 * * * * [progress]: [ 136 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
54.992 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
54.992 * * [simplify]: iters left: 6 (8 enodes)
54.995 * * [simplify]: iters left: 5 (33 enodes)
55.000 * * [simplify]: iters left: 4 (55 enodes)
55.010 * * [simplify]: iters left: 3 (72 enodes)
55.024 * * [simplify]: iters left: 2 (84 enodes)
55.047 * * [simplify]: iters left: 1 (88 enodes)
55.070 * * [simplify]: Extracting #0: cost 1 inf + 0
55.070 * * [simplify]: Extracting #1: cost 11 inf + 0
55.070 * * [simplify]: Extracting #2: cost 30 inf + 0
55.070 * * [simplify]: Extracting #3: cost 33 inf + 84
55.071 * * [simplify]: Extracting #4: cost 12 inf + 2402
55.073 * * [simplify]: Extracting #5: cost 0 inf + 4469
55.074 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
55.074 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
55.075 * * * * [progress]: [ 137 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
55.075 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
55.075 * * [simplify]: iters left: 6 (7 enodes)
55.080 * * [simplify]: iters left: 5 (30 enodes)
55.091 * * [simplify]: iters left: 4 (52 enodes)
55.108 * * [simplify]: iters left: 3 (70 enodes)
55.127 * * [simplify]: iters left: 2 (81 enodes)
55.152 * * [simplify]: iters left: 1 (84 enodes)
55.173 * * [simplify]: Extracting #0: cost 1 inf + 0
55.173 * * [simplify]: Extracting #1: cost 11 inf + 0
55.173 * * [simplify]: Extracting #2: cost 25 inf + 203
55.174 * * [simplify]: Extracting #3: cost 25 inf + 530
55.174 * * [simplify]: Extracting #4: cost 4 inf + 2936
55.176 * * [simplify]: Extracting #5: cost 0 inf + 3504
55.177 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
55.177 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
55.177 * * * * [progress]: [ 138 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
55.177 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
55.178 * * [simplify]: iters left: 6 (8 enodes)
55.183 * * [simplify]: iters left: 5 (33 enodes)
55.195 * * [simplify]: iters left: 4 (55 enodes)
55.210 * * [simplify]: iters left: 3 (72 enodes)
55.221 * * [simplify]: iters left: 2 (84 enodes)
55.239 * * [simplify]: iters left: 1 (88 enodes)
55.257 * * [simplify]: Extracting #0: cost 1 inf + 0
55.257 * * [simplify]: Extracting #1: cost 11 inf + 0
55.257 * * [simplify]: Extracting #2: cost 30 inf + 0
55.257 * * [simplify]: Extracting #3: cost 33 inf + 44
55.258 * * [simplify]: Extracting #4: cost 12 inf + 2362
55.258 * * [simplify]: Extracting #5: cost 0 inf + 4469
55.259 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
55.259 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
55.259 * * * * [progress]: [ 139 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
55.259 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
55.259 * * [simplify]: iters left: 6 (7 enodes)
55.262 * * [simplify]: iters left: 5 (30 enodes)
55.269 * * [simplify]: iters left: 4 (48 enodes)
55.276 * * [simplify]: iters left: 3 (56 enodes)
55.285 * * [simplify]: Extracting #0: cost 1 inf + 0
55.285 * * [simplify]: Extracting #1: cost 8 inf + 0
55.285 * * [simplify]: Extracting #2: cost 15 inf + 43
55.285 * * [simplify]: Extracting #3: cost 16 inf + 86
55.285 * * [simplify]: Extracting #4: cost 5 inf + 911
55.286 * * [simplify]: Extracting #5: cost 1 inf + 1198
55.287 * * [simplify]: Extracting #6: cost 0 inf + 1320
55.287 * [simplify]: Simplified to (/ (- 1 k) 2)
55.287 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
55.288 * * * * [progress]: [ 140 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
55.288 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
55.288 * * [simplify]: iters left: 6 (7 enodes)
55.291 * * [simplify]: iters left: 5 (30 enodes)
55.296 * * [simplify]: iters left: 4 (52 enodes)
55.305 * * [simplify]: iters left: 3 (70 enodes)
55.315 * * [simplify]: iters left: 2 (81 enodes)
55.331 * * [simplify]: iters left: 1 (84 enodes)
55.352 * * [simplify]: Extracting #0: cost 1 inf + 0
55.353 * * [simplify]: Extracting #1: cost 11 inf + 0
55.353 * * [simplify]: Extracting #2: cost 25 inf + 123
55.353 * * [simplify]: Extracting #3: cost 25 inf + 330
55.354 * * [simplify]: Extracting #4: cost 4 inf + 2256
55.355 * * [simplify]: Extracting #5: cost 0 inf + 2704
55.356 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
55.356 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
55.357 * * * * [progress]: [ 141 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
55.357 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
55.357 * * [simplify]: iters left: 6 (7 enodes)
55.362 * * [simplify]: iters left: 5 (31 enodes)
55.373 * * [simplify]: iters left: 4 (51 enodes)
55.392 * * [simplify]: iters left: 3 (64 enodes)
55.410 * * [simplify]: iters left: 2 (77 enodes)
55.422 * * [simplify]: iters left: 1 (84 enodes)
55.432 * * [simplify]: Extracting #0: cost 1 inf + 0
55.432 * * [simplify]: Extracting #1: cost 11 inf + 0
55.432 * * [simplify]: Extracting #2: cost 26 inf + 82
55.432 * * [simplify]: Extracting #3: cost 24 inf + 692
55.433 * * [simplify]: Extracting #4: cost 3 inf + 3057
55.433 * * [simplify]: Extracting #5: cost 0 inf + 3504
55.434 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
55.434 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
55.434 * * * * [progress]: [ 142 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
55.434 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
55.434 * * [simplify]: iters left: 6 (7 enodes)
55.437 * * [simplify]: iters left: 5 (31 enodes)
55.443 * * [simplify]: iters left: 4 (51 enodes)
55.453 * * [simplify]: iters left: 3 (64 enodes)
55.462 * * [simplify]: iters left: 2 (77 enodes)
55.473 * * [simplify]: iters left: 1 (84 enodes)
55.494 * * [simplify]: Extracting #0: cost 1 inf + 0
55.494 * * [simplify]: Extracting #1: cost 11 inf + 0
55.494 * * [simplify]: Extracting #2: cost 26 inf + 42
55.495 * * [simplify]: Extracting #3: cost 24 inf + 452
55.495 * * [simplify]: Extracting #4: cost 3 inf + 2337
55.497 * * [simplify]: Extracting #5: cost 0 inf + 2704
55.498 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
55.498 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
55.498 * * * * [progress]: [ 143 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
55.498 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
55.499 * * [simplify]: iters left: 6 (6 enodes)
55.502 * * [simplify]: iters left: 5 (29 enodes)
55.507 * * [simplify]: iters left: 4 (44 enodes)
55.513 * * [simplify]: iters left: 3 (50 enodes)
55.521 * * [simplify]: iters left: 2 (57 enodes)
55.529 * * [simplify]: Extracting #0: cost 1 inf + 0
55.529 * * [simplify]: Extracting #1: cost 9 inf + 0
55.529 * * [simplify]: Extracting #2: cost 15 inf + 3
55.529 * * [simplify]: Extracting #3: cost 11 inf + 131
55.529 * * [simplify]: Extracting #4: cost 2 inf + 711
55.529 * * [simplify]: Extracting #5: cost 0 inf + 836
55.529 * [simplify]: Simplified to (- 1/4 (/ k 4))
55.529 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
55.530 * * * * [progress]: [ 144 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
55.530 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
55.530 * * [simplify]: iters left: 6 (9 enodes)
55.533 * * [simplify]: iters left: 5 (36 enodes)
55.538 * * [simplify]: iters left: 4 (58 enodes)
55.547 * * [simplify]: iters left: 3 (71 enodes)
55.556 * * [simplify]: iters left: 2 (79 enodes)
55.576 * * [simplify]: iters left: 1 (80 enodes)
55.595 * * [simplify]: Extracting #0: cost 1 inf + 0
55.595 * * [simplify]: Extracting #1: cost 9 inf + 0
55.595 * * [simplify]: Extracting #2: cost 24 inf + 0
55.596 * * [simplify]: Extracting #3: cost 29 inf + 2
55.596 * * [simplify]: Extracting #4: cost 10 inf + 2233
55.597 * * [simplify]: Extracting #5: cost 1 inf + 4013
55.599 * * [simplify]: Extracting #6: cost 0 inf + 4135
55.600 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
55.600 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
55.600 * * * * [progress]: [ 145 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
55.601 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
55.601 * * [simplify]: iters left: 6 (10 enodes)
55.607 * * [simplify]: iters left: 5 (39 enodes)
55.620 * * [simplify]: iters left: 4 (64 enodes)
55.638 * * [simplify]: iters left: 3 (86 enodes)
55.660 * * [simplify]: iters left: 2 (99 enodes)
55.673 * * [simplify]: iters left: 1 (104 enodes)
55.686 * * [simplify]: Extracting #0: cost 1 inf + 0
55.686 * * [simplify]: Extracting #1: cost 11 inf + 0
55.686 * * [simplify]: Extracting #2: cost 31 inf + 0
55.687 * * [simplify]: Extracting #3: cost 39 inf + 2
55.687 * * [simplify]: Extracting #4: cost 22 inf + 1871
55.689 * * [simplify]: Extracting #5: cost 4 inf + 4865
55.690 * * [simplify]: Extracting #6: cost 0 inf + 5675
55.695 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
55.695 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
55.695 * * * * [progress]: [ 146 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
55.696 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
55.696 * * [simplify]: iters left: 6 (9 enodes)
55.702 * * [simplify]: iters left: 5 (36 enodes)
55.714 * * [simplify]: iters left: 4 (61 enodes)
55.732 * * [simplify]: iters left: 3 (84 enodes)
55.754 * * [simplify]: iters left: 2 (96 enodes)
55.769 * * [simplify]: iters left: 1 (100 enodes)
55.781 * * [simplify]: Extracting #0: cost 1 inf + 0
55.781 * * [simplify]: Extracting #1: cost 11 inf + 0
55.782 * * [simplify]: Extracting #2: cost 27 inf + 82
55.782 * * [simplify]: Extracting #3: cost 29 inf + 651
55.782 * * [simplify]: Extracting #4: cost 12 inf + 2763
55.783 * * [simplify]: Extracting #5: cost 1 inf + 4587
55.784 * * [simplify]: Extracting #6: cost 0 inf + 4710
55.784 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
55.784 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
55.784 * * * * [progress]: [ 147 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
55.785 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
55.785 * * [simplify]: iters left: 6 (10 enodes)
55.788 * * [simplify]: iters left: 5 (39 enodes)
55.800 * * [simplify]: iters left: 4 (64 enodes)
55.821 * * [simplify]: iters left: 3 (86 enodes)
55.832 * * [simplify]: iters left: 2 (99 enodes)
55.844 * * [simplify]: iters left: 1 (104 enodes)
55.857 * * [simplify]: Extracting #0: cost 1 inf + 0
55.857 * * [simplify]: Extracting #1: cost 11 inf + 0
55.857 * * [simplify]: Extracting #2: cost 31 inf + 0
55.857 * * [simplify]: Extracting #3: cost 39 inf + 2
55.858 * * [simplify]: Extracting #4: cost 22 inf + 1831
55.858 * * [simplify]: Extracting #5: cost 4 inf + 4785
55.859 * * [simplify]: Extracting #6: cost 0 inf + 5595
55.860 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
55.860 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
55.860 * * * * [progress]: [ 148 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
55.861 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
55.861 * * [simplify]: iters left: 6 (9 enodes)
55.863 * * [simplify]: iters left: 5 (36 enodes)
55.869 * * [simplify]: iters left: 4 (57 enodes)
55.878 * * [simplify]: iters left: 3 (73 enodes)
55.894 * * [simplify]: iters left: 2 (80 enodes)
55.916 * * [simplify]: iters left: 1 (81 enodes)
55.935 * * [simplify]: Extracting #0: cost 1 inf + 0
55.935 * * [simplify]: Extracting #1: cost 9 inf + 0
55.935 * * [simplify]: Extracting #2: cost 18 inf + 43
55.936 * * [simplify]: Extracting #3: cost 23 inf + 85
55.936 * * [simplify]: Extracting #4: cost 9 inf + 1271
55.937 * * [simplify]: Extracting #5: cost 0 inf + 2370
55.938 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
55.938 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
55.938 * * * * [progress]: [ 149 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
55.939 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
55.939 * * [simplify]: iters left: 6 (9 enodes)
55.944 * * [simplify]: iters left: 5 (36 enodes)
55.956 * * [simplify]: iters left: 4 (61 enodes)
55.975 * * [simplify]: iters left: 3 (84 enodes)
55.991 * * [simplify]: iters left: 2 (96 enodes)
56.003 * * [simplify]: iters left: 1 (100 enodes)
56.014 * * [simplify]: Extracting #0: cost 1 inf + 0
56.014 * * [simplify]: Extracting #1: cost 11 inf + 0
56.014 * * [simplify]: Extracting #2: cost 27 inf + 42
56.014 * * [simplify]: Extracting #3: cost 29 inf + 411
56.015 * * [simplify]: Extracting #4: cost 12 inf + 2163
56.015 * * [simplify]: Extracting #5: cost 1 inf + 3707
56.016 * * [simplify]: Extracting #6: cost 0 inf + 3830
56.018 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
56.018 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.018 * * * * [progress]: [ 150 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.018 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
56.019 * * [simplify]: iters left: 6 (9 enodes)
56.024 * * [simplify]: iters left: 5 (36 enodes)
56.040 * * [simplify]: iters left: 4 (62 enodes)
56.050 * * [simplify]: iters left: 3 (78 enodes)
56.060 * * [simplify]: iters left: 2 (90 enodes)
56.071 * * [simplify]: iters left: 1 (94 enodes)
56.085 * * [simplify]: Extracting #0: cost 1 inf + 0
56.085 * * [simplify]: Extracting #1: cost 11 inf + 0
56.085 * * [simplify]: Extracting #2: cost 27 inf + 1
56.085 * * [simplify]: Extracting #3: cost 29 inf + 409
56.085 * * [simplify]: Extracting #4: cost 12 inf + 2359
56.086 * * [simplify]: Extracting #5: cost 2 inf + 4022
56.087 * * [simplify]: Extracting #6: cost 0 inf + 4466
56.087 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
56.087 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.088 * * * * [progress]: [ 151 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.088 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
56.088 * * [simplify]: iters left: 6 (9 enodes)
56.091 * * [simplify]: iters left: 5 (36 enodes)
56.097 * * [simplify]: iters left: 4 (62 enodes)
56.106 * * [simplify]: iters left: 3 (78 enodes)
56.119 * * [simplify]: iters left: 2 (90 enodes)
56.131 * * [simplify]: iters left: 1 (94 enodes)
56.153 * * [simplify]: Extracting #0: cost 1 inf + 0
56.154 * * [simplify]: Extracting #1: cost 11 inf + 0
56.154 * * [simplify]: Extracting #2: cost 27 inf + 1
56.154 * * [simplify]: Extracting #3: cost 29 inf + 249
56.154 * * [simplify]: Extracting #4: cost 12 inf + 1879
56.156 * * [simplify]: Extracting #5: cost 2 inf + 3302
56.157 * * [simplify]: Extracting #6: cost 0 inf + 3666
56.157 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
56.157 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.158 * * * * [progress]: [ 152 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.158 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
56.158 * * [simplify]: iters left: 6 (8 enodes)
56.161 * * [simplify]: iters left: 5 (34 enodes)
56.167 * * [simplify]: iters left: 4 (58 enodes)
56.175 * * [simplify]: iters left: 3 (65 enodes)
56.183 * * [simplify]: Extracting #0: cost 1 inf + 0
56.183 * * [simplify]: Extracting #1: cost 8 inf + 0
56.183 * * [simplify]: Extracting #2: cost 14 inf + 3
56.183 * * [simplify]: Extracting #3: cost 17 inf + 5
56.183 * * [simplify]: Extracting #4: cost 12 inf + 292
56.183 * * [simplify]: Extracting #5: cost 1 inf + 1355
56.184 * * [simplify]: Extracting #6: cost 0 inf + 1478
56.184 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
56.184 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
56.184 * * * * [progress]: [ 153 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.184 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
56.184 * * [simplify]: iters left: 6 (8 enodes)
56.187 * * [simplify]: iters left: 5 (33 enodes)
56.196 * * [simplify]: iters left: 4 (52 enodes)
56.211 * * [simplify]: iters left: 3 (62 enodes)
56.231 * * [simplify]: iters left: 2 (67 enodes)
56.248 * * [simplify]: Extracting #0: cost 1 inf + 0
56.249 * * [simplify]: Extracting #1: cost 9 inf + 0
56.249 * * [simplify]: Extracting #2: cost 23 inf + 0
56.249 * * [simplify]: Extracting #3: cost 24 inf + 285
56.249 * * [simplify]: Extracting #4: cost 18 inf + 975
56.250 * * [simplify]: Extracting #5: cost 7 inf + 2516
56.251 * * [simplify]: Extracting #6: cost 0 inf + 3891
56.252 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
56.252 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.253 * * * * [progress]: [ 154 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.253 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
56.253 * * [simplify]: iters left: 6 (9 enodes)
56.258 * * [simplify]: iters left: 5 (36 enodes)
56.268 * * [simplify]: iters left: 4 (58 enodes)
56.276 * * [simplify]: iters left: 3 (75 enodes)
56.287 * * [simplify]: iters left: 2 (87 enodes)
56.299 * * [simplify]: iters left: 1 (91 enodes)
56.314 * * [simplify]: Extracting #0: cost 1 inf + 0
56.314 * * [simplify]: Extracting #1: cost 11 inf + 0
56.314 * * [simplify]: Extracting #2: cost 30 inf + 0
56.315 * * [simplify]: Extracting #3: cost 36 inf + 83
56.315 * * [simplify]: Extracting #4: cost 30 inf + 451
56.315 * * [simplify]: Extracting #5: cost 10 inf + 3649
56.316 * * [simplify]: Extracting #6: cost 0 inf + 5431
56.317 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
56.317 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.317 * * * * [progress]: [ 155 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.317 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
56.317 * * [simplify]: iters left: 6 (8 enodes)
56.320 * * [simplify]: iters left: 5 (33 enodes)
56.327 * * [simplify]: iters left: 4 (55 enodes)
56.338 * * [simplify]: iters left: 3 (73 enodes)
56.354 * * [simplify]: iters left: 2 (84 enodes)
56.365 * * [simplify]: iters left: 1 (87 enodes)
56.376 * * [simplify]: Extracting #0: cost 1 inf + 0
56.376 * * [simplify]: Extracting #1: cost 11 inf + 0
56.376 * * [simplify]: Extracting #2: cost 25 inf + 203
56.376 * * [simplify]: Extracting #3: cost 29 inf + 407
56.376 * * [simplify]: Extracting #4: cost 24 inf + 896
56.376 * * [simplify]: Extracting #5: cost 9 inf + 2805
56.377 * * [simplify]: Extracting #6: cost 0 inf + 4466
56.378 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
56.378 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.378 * * * * [progress]: [ 156 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.378 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
56.378 * * [simplify]: iters left: 6 (9 enodes)
56.381 * * [simplify]: iters left: 5 (36 enodes)
56.388 * * [simplify]: iters left: 4 (58 enodes)
56.405 * * [simplify]: iters left: 3 (75 enodes)
56.428 * * [simplify]: iters left: 2 (87 enodes)
56.444 * * [simplify]: iters left: 1 (91 enodes)
56.455 * * [simplify]: Extracting #0: cost 1 inf + 0
56.455 * * [simplify]: Extracting #1: cost 11 inf + 0
56.455 * * [simplify]: Extracting #2: cost 30 inf + 0
56.455 * * [simplify]: Extracting #3: cost 36 inf + 43
56.455 * * [simplify]: Extracting #4: cost 30 inf + 451
56.456 * * [simplify]: Extracting #5: cost 10 inf + 3769
56.457 * * [simplify]: Extracting #6: cost 0 inf + 5431
56.457 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
56.457 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.458 * * * * [progress]: [ 157 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.458 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
56.458 * * [simplify]: iters left: 6 (8 enodes)
56.460 * * [simplify]: iters left: 5 (33 enodes)
56.467 * * [simplify]: iters left: 4 (51 enodes)
56.482 * * [simplify]: iters left: 3 (59 enodes)
56.498 * * [simplify]: Extracting #0: cost 1 inf + 0
56.498 * * [simplify]: Extracting #1: cost 8 inf + 0
56.498 * * [simplify]: Extracting #2: cost 15 inf + 43
56.499 * * [simplify]: Extracting #3: cost 19 inf + 85
56.499 * * [simplify]: Extracting #4: cost 16 inf + 250
56.499 * * [simplify]: Extracting #5: cost 5 inf + 1311
56.500 * * [simplify]: Extracting #6: cost 0 inf + 1962
56.501 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
56.501 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.501 * * * * [progress]: [ 158 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.501 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
56.501 * * [simplify]: iters left: 6 (8 enodes)
56.506 * * [simplify]: iters left: 5 (33 enodes)
56.518 * * [simplify]: iters left: 4 (55 enodes)
56.534 * * [simplify]: iters left: 3 (73 enodes)
56.558 * * [simplify]: iters left: 2 (84 enodes)
56.580 * * [simplify]: iters left: 1 (87 enodes)
56.602 * * [simplify]: Extracting #0: cost 1 inf + 0
56.602 * * [simplify]: Extracting #1: cost 11 inf + 0
56.602 * * [simplify]: Extracting #2: cost 25 inf + 123
56.603 * * [simplify]: Extracting #3: cost 29 inf + 247
56.603 * * [simplify]: Extracting #4: cost 24 inf + 576
56.604 * * [simplify]: Extracting #5: cost 9 inf + 2245
56.605 * * [simplify]: Extracting #6: cost 0 inf + 3666
56.606 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
56.606 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.607 * * * * [progress]: [ 159 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.607 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
56.607 * * [simplify]: iters left: 6 (8 enodes)
56.613 * * [simplify]: iters left: 5 (34 enodes)
56.625 * * [simplify]: iters left: 4 (54 enodes)
56.641 * * [simplify]: iters left: 3 (67 enodes)
56.657 * * [simplify]: iters left: 2 (80 enodes)
56.668 * * [simplify]: iters left: 1 (87 enodes)
56.681 * * [simplify]: Extracting #0: cost 1 inf + 0
56.681 * * [simplify]: Extracting #1: cost 11 inf + 0
56.681 * * [simplify]: Extracting #2: cost 25 inf + 203
56.682 * * [simplify]: Extracting #3: cost 26 inf + 773
56.682 * * [simplify]: Extracting #4: cost 24 inf + 896
56.682 * * [simplify]: Extracting #5: cost 8 inf + 3127
56.683 * * [simplify]: Extracting #6: cost 0 inf + 4466
56.684 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
56.684 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.684 * * * * [progress]: [ 160 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.684 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
56.684 * * [simplify]: iters left: 6 (8 enodes)
56.689 * * [simplify]: iters left: 5 (34 enodes)
56.700 * * [simplify]: iters left: 4 (54 enodes)
56.716 * * [simplify]: iters left: 3 (67 enodes)
56.730 * * [simplify]: iters left: 2 (80 enodes)
56.742 * * [simplify]: iters left: 1 (87 enodes)
56.764 * * [simplify]: Extracting #0: cost 1 inf + 0
56.764 * * [simplify]: Extracting #1: cost 11 inf + 0
56.764 * * [simplify]: Extracting #2: cost 25 inf + 123
56.765 * * [simplify]: Extracting #3: cost 26 inf + 493
56.765 * * [simplify]: Extracting #4: cost 24 inf + 576
56.766 * * [simplify]: Extracting #5: cost 8 inf + 2527
56.767 * * [simplify]: Extracting #6: cost 0 inf + 3666
56.768 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
56.768 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.769 * * * * [progress]: [ 161 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
56.769 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
56.769 * * [simplify]: iters left: 6 (7 enodes)
56.774 * * [simplify]: iters left: 5 (32 enodes)
56.784 * * [simplify]: iters left: 4 (50 enodes)
56.797 * * [simplify]: iters left: 3 (54 enodes)
56.807 * * [simplify]: Extracting #0: cost 1 inf + 0
56.807 * * [simplify]: Extracting #1: cost 8 inf + 0
56.807 * * [simplify]: Extracting #2: cost 13 inf + 3
56.807 * * [simplify]: Extracting #3: cost 15 inf + 5
56.807 * * [simplify]: Extracting #4: cost 14 inf + 6
56.807 * * [simplify]: Extracting #5: cost 4 inf + 825
56.807 * * [simplify]: Extracting #6: cost 0 inf + 1234
56.807 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
56.808 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
56.808 * * * * [progress]: [ 162 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.808 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
56.808 * * [simplify]: iters left: 6 (7 enodes)
56.810 * * [simplify]: iters left: 5 (30 enodes)
56.815 * * [simplify]: iters left: 4 (49 enodes)
56.822 * * [simplify]: iters left: 3 (59 enodes)
56.831 * * [simplify]: iters left: 2 (64 enodes)
56.844 * * [simplify]: Extracting #0: cost 1 inf + 0
56.844 * * [simplify]: Extracting #1: cost 9 inf + 0
56.844 * * [simplify]: Extracting #2: cost 23 inf + 0
56.844 * * [simplify]: Extracting #3: cost 24 inf + 3
56.844 * * [simplify]: Extracting #4: cost 15 inf + 980
56.845 * * [simplify]: Extracting #5: cost 1 inf + 3007
56.845 * * [simplify]: Extracting #6: cost 0 inf + 3169
56.846 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
56.846 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.846 * * * * [progress]: [ 163 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.846 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
56.846 * * [simplify]: iters left: 6 (8 enodes)
56.849 * * [simplify]: iters left: 5 (33 enodes)
56.854 * * [simplify]: iters left: 4 (55 enodes)
56.862 * * [simplify]: iters left: 3 (72 enodes)
56.880 * * [simplify]: iters left: 2 (84 enodes)
56.900 * * [simplify]: iters left: 1 (88 enodes)
56.910 * * [simplify]: Extracting #0: cost 1 inf + 0
56.911 * * [simplify]: Extracting #1: cost 11 inf + 0
56.911 * * [simplify]: Extracting #2: cost 30 inf + 0
56.911 * * [simplify]: Extracting #3: cost 33 inf + 84
56.911 * * [simplify]: Extracting #4: cost 12 inf + 2402
56.912 * * [simplify]: Extracting #5: cost 0 inf + 4469
56.912 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
56.913 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.913 * * * * [progress]: [ 164 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.913 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
56.913 * * [simplify]: iters left: 6 (7 enodes)
56.915 * * [simplify]: iters left: 5 (30 enodes)
56.921 * * [simplify]: iters left: 4 (52 enodes)
56.929 * * [simplify]: iters left: 3 (70 enodes)
56.948 * * [simplify]: iters left: 2 (81 enodes)
56.969 * * [simplify]: iters left: 1 (84 enodes)
56.989 * * [simplify]: Extracting #0: cost 1 inf + 0
56.989 * * [simplify]: Extracting #1: cost 11 inf + 0
56.989 * * [simplify]: Extracting #2: cost 25 inf + 203
56.989 * * [simplify]: Extracting #3: cost 25 inf + 530
56.990 * * [simplify]: Extracting #4: cost 4 inf + 2936
56.991 * * [simplify]: Extracting #5: cost 0 inf + 3504
56.992 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
56.992 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
56.992 * * * * [progress]: [ 165 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
56.993 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
56.993 * * [simplify]: iters left: 6 (8 enodes)
56.998 * * [simplify]: iters left: 5 (33 enodes)
57.010 * * [simplify]: iters left: 4 (55 enodes)
57.028 * * [simplify]: iters left: 3 (72 enodes)
57.038 * * [simplify]: iters left: 2 (84 enodes)
57.050 * * [simplify]: iters left: 1 (88 enodes)
57.061 * * [simplify]: Extracting #0: cost 1 inf + 0
57.061 * * [simplify]: Extracting #1: cost 11 inf + 0
57.061 * * [simplify]: Extracting #2: cost 30 inf + 0
57.061 * * [simplify]: Extracting #3: cost 33 inf + 44
57.062 * * [simplify]: Extracting #4: cost 12 inf + 2362
57.063 * * [simplify]: Extracting #5: cost 0 inf + 4469
57.065 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
57.065 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
57.065 * * * * [progress]: [ 166 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
57.065 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
57.065 * * [simplify]: iters left: 6 (7 enodes)
57.068 * * [simplify]: iters left: 5 (30 enodes)
57.073 * * [simplify]: iters left: 4 (48 enodes)
57.080 * * [simplify]: iters left: 3 (56 enodes)
57.087 * * [simplify]: Extracting #0: cost 1 inf + 0
57.087 * * [simplify]: Extracting #1: cost 8 inf + 0
57.087 * * [simplify]: Extracting #2: cost 15 inf + 43
57.087 * * [simplify]: Extracting #3: cost 16 inf + 86
57.088 * * [simplify]: Extracting #4: cost 5 inf + 911
57.088 * * [simplify]: Extracting #5: cost 1 inf + 1198
57.088 * * [simplify]: Extracting #6: cost 0 inf + 1320
57.089 * [simplify]: Simplified to (/ (- 1 k) 2)
57.089 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
57.089 * * * * [progress]: [ 167 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
57.089 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
57.089 * * [simplify]: iters left: 6 (7 enodes)
57.091 * * [simplify]: iters left: 5 (30 enodes)
57.096 * * [simplify]: iters left: 4 (52 enodes)
57.110 * * [simplify]: iters left: 3 (70 enodes)
57.120 * * [simplify]: iters left: 2 (81 enodes)
57.131 * * [simplify]: iters left: 1 (84 enodes)
57.141 * * [simplify]: Extracting #0: cost 1 inf + 0
57.141 * * [simplify]: Extracting #1: cost 11 inf + 0
57.142 * * [simplify]: Extracting #2: cost 25 inf + 123
57.142 * * [simplify]: Extracting #3: cost 25 inf + 330
57.143 * * [simplify]: Extracting #4: cost 4 inf + 2256
57.144 * * [simplify]: Extracting #5: cost 0 inf + 2704
57.145 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
57.145 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
57.145 * * * * [progress]: [ 168 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
57.146 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
57.146 * * [simplify]: iters left: 6 (7 enodes)
57.151 * * [simplify]: iters left: 5 (31 enodes)
57.161 * * [simplify]: iters left: 4 (51 enodes)
57.177 * * [simplify]: iters left: 3 (64 enodes)
57.195 * * [simplify]: iters left: 2 (77 enodes)
57.216 * * [simplify]: iters left: 1 (84 enodes)
57.240 * * [simplify]: Extracting #0: cost 1 inf + 0
57.240 * * [simplify]: Extracting #1: cost 11 inf + 0
57.240 * * [simplify]: Extracting #2: cost 26 inf + 82
57.241 * * [simplify]: Extracting #3: cost 24 inf + 692
57.241 * * [simplify]: Extracting #4: cost 3 inf + 3057
57.243 * * [simplify]: Extracting #5: cost 0 inf + 3504
57.244 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
57.244 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))
57.244 * * * * [progress]: [ 169 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
57.244 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
57.245 * * [simplify]: iters left: 6 (7 enodes)
57.249 * * [simplify]: iters left: 5 (31 enodes)
57.256 * * [simplify]: iters left: 4 (51 enodes)
57.264 * * [simplify]: iters left: 3 (64 enodes)
57.273 * * [simplify]: iters left: 2 (77 enodes)
57.283 * * [simplify]: iters left: 1 (84 enodes)
57.302 * * [simplify]: Extracting #0: cost 1 inf + 0
57.302 * * [simplify]: Extracting #1: cost 11 inf + 0
57.303 * * [simplify]: Extracting #2: cost 26 inf + 42
57.303 * * [simplify]: Extracting #3: cost 24 inf + 452
57.304 * * [simplify]: Extracting #4: cost 3 inf + 2337
57.305 * * [simplify]: Extracting #5: cost 0 inf + 2704
57.306 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
57.306 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
57.306 * * * * [progress]: [ 170 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
57.307 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
57.307 * * [simplify]: iters left: 6 (6 enodes)
57.311 * * [simplify]: iters left: 5 (29 enodes)
57.321 * * [simplify]: iters left: 4 (44 enodes)
57.329 * * [simplify]: iters left: 3 (50 enodes)
57.339 * * [simplify]: iters left: 2 (57 enodes)
57.346 * * [simplify]: Extracting #0: cost 1 inf + 0
57.347 * * [simplify]: Extracting #1: cost 9 inf + 0
57.347 * * [simplify]: Extracting #2: cost 15 inf + 3
57.347 * * [simplify]: Extracting #3: cost 11 inf + 131
57.347 * * [simplify]: Extracting #4: cost 2 inf + 711
57.347 * * [simplify]: Extracting #5: cost 0 inf + 836
57.347 * [simplify]: Simplified to (- 1/4 (/ k 4))
57.347 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
57.348 * * * * [progress]: [ 171 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
57.348 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
57.348 * * [simplify]: iters left: 6 (7 enodes)
57.350 * * [simplify]: iters left: 5 (31 enodes)
57.355 * * [simplify]: iters left: 4 (51 enodes)
57.363 * * [simplify]: iters left: 3 (64 enodes)
57.371 * * [simplify]: iters left: 2 (77 enodes)
57.382 * * [simplify]: iters left: 1 (84 enodes)
57.392 * * [simplify]: Extracting #0: cost 1 inf + 0
57.392 * * [simplify]: Extracting #1: cost 11 inf + 0
57.392 * * [simplify]: Extracting #2: cost 26 inf + 82
57.392 * * [simplify]: Extracting #3: cost 24 inf + 692
57.393 * * [simplify]: Extracting #4: cost 3 inf + 3057
57.393 * * [simplify]: Extracting #5: cost 0 inf + 3504
57.394 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
57.394 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
57.394 * * * * [progress]: [ 172 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
57.394 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
57.394 * * [simplify]: iters left: 6 (7 enodes)
57.397 * * [simplify]: iters left: 5 (31 enodes)
57.402 * * [simplify]: iters left: 4 (51 enodes)
57.417 * * [simplify]: iters left: 3 (64 enodes)
57.435 * * [simplify]: iters left: 2 (77 enodes)
57.447 * * [simplify]: iters left: 1 (84 enodes)
57.465 * * [simplify]: Extracting #0: cost 1 inf + 0
57.465 * * [simplify]: Extracting #1: cost 11 inf + 0
57.465 * * [simplify]: Extracting #2: cost 26 inf + 42
57.466 * * [simplify]: Extracting #3: cost 24 inf + 452
57.466 * * [simplify]: Extracting #4: cost 3 inf + 2337
57.468 * * [simplify]: Extracting #5: cost 0 inf + 2704
57.469 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
57.469 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
57.469 * * * * [progress]: [ 173 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
57.469 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
57.469 * * [simplify]: iters left: 6 (6 enodes)
57.474 * * [simplify]: iters left: 5 (29 enodes)
57.483 * * [simplify]: iters left: 4 (44 enodes)
57.496 * * [simplify]: iters left: 3 (50 enodes)
57.509 * * [simplify]: iters left: 2 (57 enodes)
57.524 * * [simplify]: Extracting #0: cost 1 inf + 0
57.524 * * [simplify]: Extracting #1: cost 9 inf + 0
57.524 * * [simplify]: Extracting #2: cost 15 inf + 3
57.524 * * [simplify]: Extracting #3: cost 11 inf + 131
57.525 * * [simplify]: Extracting #4: cost 2 inf + 711
57.525 * * [simplify]: Extracting #5: cost 0 inf + 836
57.525 * [simplify]: Simplified to (- 1/4 (/ k 4))
57.525 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ 1 1)) (- 1/4 (/ k 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
57.526 * * * * [progress]: [ 174 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
57.526 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
57.526 * * [simplify]: iters left: 4 (5 enodes)
57.529 * * [simplify]: iters left: 3 (20 enodes)
57.533 * * [simplify]: iters left: 2 (27 enodes)
57.539 * * [simplify]: iters left: 1 (29 enodes)
57.543 * * [simplify]: Extracting #0: cost 1 inf + 0
57.543 * * [simplify]: Extracting #1: cost 8 inf + 0
57.543 * * [simplify]: Extracting #2: cost 4 inf + 449
57.543 * * [simplify]: Extracting #3: cost 0 inf + 895
57.544 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
57.544 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
57.544 * * * * [progress]: [ 175 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
57.544 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
57.544 * * [simplify]: iters left: 4 (5 enodes)
57.548 * * [simplify]: iters left: 3 (20 enodes)
57.554 * * [simplify]: iters left: 2 (27 enodes)
57.563 * * [simplify]: iters left: 1 (29 enodes)
57.572 * * [simplify]: Extracting #0: cost 1 inf + 0
57.572 * * [simplify]: Extracting #1: cost 8 inf + 0
57.572 * * [simplify]: Extracting #2: cost 4 inf + 289
57.572 * * [simplify]: Extracting #3: cost 0 inf + 575
57.573 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
57.573 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
57.573 * * * * [progress]: [ 176 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
57.573 * [simplify]: Simplifying (/ (/ 1 2) 2)
57.573 * * [simplify]: iters left: 4 (4 enodes)
57.578 * * [simplify]: iters left: 3 (19 enodes)
57.584 * * [simplify]: iters left: 2 (23 enodes)
57.591 * * [simplify]: Extracting #0: cost 1 inf + 0
57.591 * * [simplify]: Extracting #1: cost 0 inf + 1
57.591 * [simplify]: Simplified to 1/4
57.591 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 1)) 1/4) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
57.591 * * * * [progress]: [ 177 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
57.591 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
57.591 * * [simplify]: iters left: 6 (6 enodes)
57.596 * * [simplify]: iters left: 5 (29 enodes)
57.605 * * [simplify]: iters left: 4 (44 enodes)
57.617 * * [simplify]: iters left: 3 (50 enodes)
57.624 * * [simplify]: iters left: 2 (57 enodes)
57.633 * * [simplify]: Extracting #0: cost 1 inf + 0
57.633 * * [simplify]: Extracting #1: cost 9 inf + 0
57.633 * * [simplify]: Extracting #2: cost 15 inf + 3
57.633 * * [simplify]: Extracting #3: cost 11 inf + 131
57.633 * * [simplify]: Extracting #4: cost 2 inf + 711
57.633 * * [simplify]: Extracting #5: cost 0 inf + 836
57.634 * [simplify]: Simplified to (- 1/4 (/ k 4))
57.634 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) 1) (- 1/4 (/ k 4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
57.634 * * * * [progress]: [ 178 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
57.634 * [simplify]: Simplifying (/ 1 2)
57.634 * * [simplify]: iters left: 2 (3 enodes)
57.636 * * [simplify]: iters left: 1 (12 enodes)
57.638 * * [simplify]: Extracting #0: cost 1 inf + 0
57.638 * * [simplify]: Extracting #1: cost 0 inf + 1
57.638 * [simplify]: Simplified to 1/2
57.638 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) 1/2) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
57.638 * * * * [progress]: [ 179 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (pow (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow (cbrt (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
57.638 * [simplify]: Simplifying (pow (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2))
57.638 * * [simplify]: iters left: 6 (13 enodes)
57.642 * * [simplify]: iters left: 5 (57 enodes)
57.661 * * [simplify]: iters left: 4 (93 enodes)
57.691 * * [simplify]: iters left: 3 (146 enodes)
57.739 * * [simplify]: iters left: 2 (263 enodes)
57.828 * * [simplify]: iters left: 1 (462 enodes)
58.003 * * [simplify]: Extracting #0: cost 1 inf + 0
58.003 * * [simplify]: Extracting #1: cost 24 inf + 0
58.003 * * [simplify]: Extracting #2: cost 95 inf + 1
58.004 * * [simplify]: Extracting #3: cost 168 inf + 9
58.006 * * [simplify]: Extracting #4: cost 182 inf + 60
58.009 * * [simplify]: Extracting #5: cost 120 inf + 6739
58.018 * * [simplify]: Extracting #6: cost 42 inf + 27229
58.038 * * [simplify]: Extracting #7: cost 4 inf + 61081
58.062 * * [simplify]: Extracting #8: cost 0 inf + 64457
58.088 * [simplify]: Simplified to (pow (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (- 1/4 (/ k 4)))
58.088 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (* (pow (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (- 1/4 (/ k 4))) (pow (cbrt (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
58.088 * * * * [progress]: [ 180 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.088 * * * * [progress]: [ 181 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (log (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))))>
58.088 * * * * [progress]: [ 182 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (log (exp (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))))>
58.088 * * * * [progress]: [ 183 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (* (cbrt (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))) (cbrt (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))))>
58.089 * * * * [progress]: [ 184 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (cbrt (* (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (pow (* (* (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))))>
58.089 * * * * [progress]: [ 185 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (sqrt (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2))) (sqrt (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))))>
58.089 * * * * [progress]: [ 186 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (* 1 (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))))>
58.089 * * * * [progress]: [ 187 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (/ (- 1 k) 2) 2) 2))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.089 * * * * [progress]: [ 188 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (posit16->real (real->posit16 (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))))>
58.089 * * * * [progress]: [ 189 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (pow (* n (* 2 PI)) 1/3)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.089 * * * * [progress]: [ 190 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (pow (cbrt (* n (* 2 PI))) 1)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.089 * * * * [progress]: [ 191 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (exp (log (cbrt (* n (* 2 PI)))))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.089 * * * * [progress]: [ 192 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (log (exp (cbrt (* n (* 2 PI)))))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.089 * * * * [progress]: [ 193 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (* (cbrt n) (cbrt (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.089 * [simplify]: Simplifying (cbrt n)
58.090 * * [simplify]: iters left: 1 (2 enodes)
58.090 * * [simplify]: Extracting #0: cost 1 inf + 0
58.090 * * [simplify]: Extracting #1: cost 3 inf + 0
58.090 * * [simplify]: Extracting #2: cost 2 inf + 1
58.091 * * [simplify]: Extracting #3: cost 0 inf + 163
58.091 * [simplify]: Simplified to (cbrt n)
58.091 * [simplify]: Simplified (2 1 1 1 2 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (* (cbrt n) (cbrt (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
58.091 * * * * [progress]: [ 194 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (* (* (cbrt (cbrt (* n (* 2 PI)))) (cbrt (cbrt (* n (* 2 PI))))) (cbrt (cbrt (* n (* 2 PI)))))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.091 * * * * [progress]: [ 195 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* (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))))>
58.091 * * * * [progress]: [ 196 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (* (sqrt (cbrt (* n (* 2 PI)))) (sqrt (cbrt (* n (* 2 PI)))))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.091 * * * * [progress]: [ 197 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (* 1 (cbrt (* n (* 2 PI))))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.091 * * * * [progress]: [ 198 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (posit16->real (real->posit16 (cbrt (* n (* 2 PI)))))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.091 * * * * [progress]: [ 199 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (pow (* n (* 2 PI)) 1/3)) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.091 * * * * [progress]: [ 200 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (pow (cbrt (* n (* 2 PI))) 1)) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.092 * * * * [progress]: [ 201 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (exp (log (cbrt (* n (* 2 PI)))))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.092 * * * * [progress]: [ 202 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (log (exp (cbrt (* n (* 2 PI)))))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.092 * * * * [progress]: [ 203 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (* (cbrt n) (cbrt (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.092 * [simplify]: Simplifying (cbrt n)
58.092 * * [simplify]: iters left: 1 (2 enodes)
58.093 * * [simplify]: Extracting #0: cost 1 inf + 0
58.093 * * [simplify]: Extracting #1: cost 3 inf + 0
58.093 * * [simplify]: Extracting #2: cost 2 inf + 1
58.093 * * [simplify]: Extracting #3: cost 0 inf + 163
58.093 * [simplify]: Simplified to (cbrt n)
58.093 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (* (cbrt n) (cbrt (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
58.093 * * * * [progress]: [ 204 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (* (* (cbrt (cbrt (* n (* 2 PI)))) (cbrt (cbrt (* n (* 2 PI))))) (cbrt (cbrt (* n (* 2 PI)))))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.093 * * * * [progress]: [ 205 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* (* (cbrt (* n (* 2 PI))) (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))))>
58.094 * * * * [progress]: [ 206 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (* (sqrt (cbrt (* n (* 2 PI)))) (sqrt (cbrt (* n (* 2 PI)))))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.094 * * * * [progress]: [ 207 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (* 1 (cbrt (* n (* 2 PI))))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.094 * * * * [progress]: [ 208 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (posit16->real (real->posit16 (cbrt (* n (* 2 PI)))))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
58.094 * * * * [progress]: [ 209 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* 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))))>
58.094 * [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)))))))
58.095 * * [simplify]: iters left: 6 (37 enodes)
58.119 * * [simplify]: iters left: 5 (190 enodes)
58.160 * * [simplify]: Extracting #0: cost 1 inf + 0
58.161 * * [simplify]: Extracting #1: cost 18 inf + 0
58.161 * * [simplify]: Extracting #2: cost 85 inf + 0
58.161 * * [simplify]: Extracting #3: cost 169 inf + 45
58.162 * * [simplify]: Extracting #4: cost 194 inf + 581
58.164 * * [simplify]: Extracting #5: cost 128 inf + 18118
58.175 * * [simplify]: Extracting #6: cost 27 inf + 64733
58.203 * * [simplify]: Extracting #7: cost 1 inf + 82414
58.221 * * [simplify]: Extracting #8: cost 0 inf + 81915
58.238 * * [simplify]: Extracting #9: cost 0 inf + 81594
58.262 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4)))
58.262 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) (sqrt k))))
58.263 * * * * [progress]: [ 210 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k))))>
58.263 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
58.263 * * [simplify]: iters left: 6 (15 enodes)
58.268 * * [simplify]: iters left: 5 (65 enodes)
58.278 * * [simplify]: iters left: 4 (123 enodes)
58.314 * * [simplify]: iters left: 3 (360 enodes)
58.494 * * [simplify]: Extracting #0: cost 1 inf + 0
58.494 * * [simplify]: Extracting #1: cost 37 inf + 0
58.495 * * [simplify]: Extracting #2: cost 214 inf + 1
58.496 * * [simplify]: Extracting #3: cost 351 inf + 1827
58.500 * * [simplify]: Extracting #4: cost 217 inf + 29927
58.515 * * [simplify]: Extracting #5: cost 35 inf + 80289
58.540 * * [simplify]: Extracting #6: cost 0 inf + 89737
58.571 * * [simplify]: Extracting #7: cost 0 inf + 88848
58.594 * * [simplify]: Extracting #8: cost 0 inf + 88843
58.609 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4))
58.609 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) (sqrt k))))
58.609 * * * * [progress]: [ 211 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k))))>
58.610 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
58.610 * * [simplify]: iters left: 6 (16 enodes)
58.614 * * [simplify]: iters left: 5 (67 enodes)
58.627 * * [simplify]: iters left: 4 (134 enodes)
58.656 * * [simplify]: iters left: 3 (406 enodes)
58.820 * * [simplify]: Extracting #0: cost 1 inf + 0
58.820 * * [simplify]: Extracting #1: cost 39 inf + 0
58.820 * * [simplify]: Extracting #2: cost 241 inf + 72
58.822 * * [simplify]: Extracting #3: cost 449 inf + 888
58.827 * * [simplify]: Extracting #4: cost 276 inf + 41470
58.850 * * [simplify]: Extracting #5: cost 21 inf + 115189
58.876 * * [simplify]: Extracting #6: cost 0 inf + 121987
58.912 * * [simplify]: Extracting #7: cost 0 inf + 121985
58.939 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
58.940 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k))))
58.940 * * * * [progress]: [ 212 / 220 ] 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))))>
58.940 * [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)))))))
58.940 * * [simplify]: iters left: 6 (37 enodes)
58.953 * * [simplify]: iters left: 5 (190 enodes)
58.991 * * [simplify]: Extracting #0: cost 1 inf + 0
58.992 * * [simplify]: Extracting #1: cost 18 inf + 0
58.992 * * [simplify]: Extracting #2: cost 85 inf + 0
58.992 * * [simplify]: Extracting #3: cost 169 inf + 45
58.993 * * [simplify]: Extracting #4: cost 194 inf + 581
58.995 * * [simplify]: Extracting #5: cost 128 inf + 18118
59.004 * * [simplify]: Extracting #6: cost 27 inf + 64733
59.019 * * [simplify]: Extracting #7: cost 1 inf + 82414
59.037 * * [simplify]: Extracting #8: cost 0 inf + 81915
59.059 * * [simplify]: Extracting #9: cost 0 inf + 81594
59.074 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4)))
59.075 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
59.075 * * * * [progress]: [ 213 / 220 ] 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))))>
59.075 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
59.075 * * [simplify]: iters left: 6 (15 enodes)
59.080 * * [simplify]: iters left: 5 (65 enodes)
59.092 * * [simplify]: iters left: 4 (123 enodes)
59.143 * * [simplify]: iters left: 3 (360 enodes)
59.309 * * [simplify]: Extracting #0: cost 1 inf + 0
59.309 * * [simplify]: Extracting #1: cost 37 inf + 0
59.310 * * [simplify]: Extracting #2: cost 214 inf + 1
59.311 * * [simplify]: Extracting #3: cost 351 inf + 1827
59.315 * * [simplify]: Extracting #4: cost 217 inf + 29927
59.327 * * [simplify]: Extracting #5: cost 35 inf + 80289
59.355 * * [simplify]: Extracting #6: cost 0 inf + 89737
59.370 * * [simplify]: Extracting #7: cost 0 inf + 88848
59.385 * * [simplify]: Extracting #8: cost 0 inf + 88843
59.411 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4))
59.411 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
59.411 * * * * [progress]: [ 214 / 220 ] 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))))>
59.412 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
59.412 * * [simplify]: iters left: 6 (16 enodes)
59.419 * * [simplify]: iters left: 5 (67 enodes)
59.434 * * [simplify]: iters left: 4 (134 enodes)
59.462 * * [simplify]: iters left: 3 (406 enodes)
59.602 * * [simplify]: Extracting #0: cost 1 inf + 0
59.602 * * [simplify]: Extracting #1: cost 39 inf + 0
59.603 * * [simplify]: Extracting #2: cost 241 inf + 72
59.604 * * [simplify]: Extracting #3: cost 449 inf + 888
59.610 * * [simplify]: Extracting #4: cost 276 inf + 41470
59.628 * * [simplify]: Extracting #5: cost 21 inf + 115189
59.662 * * [simplify]: Extracting #6: cost 0 inf + 121987
59.704 * * [simplify]: Extracting #7: cost 0 inf + 121985
59.726 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
59.726 * [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))))
59.726 * * * * [progress]: [ 215 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
59.726 * [simplify]: Simplifying (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
59.726 * * [simplify]: iters left: 6 (11 enodes)
59.730 * * [simplify]: iters left: 5 (44 enodes)
59.737 * * [simplify]: iters left: 4 (67 enodes)
59.750 * * [simplify]: iters left: 3 (108 enodes)
59.777 * * [simplify]: iters left: 2 (171 enodes)
59.813 * * [simplify]: iters left: 1 (379 enodes)
59.918 * * [simplify]: Extracting #0: cost 1 inf + 0
59.919 * * [simplify]: Extracting #1: cost 72 inf + 0
59.919 * * [simplify]: Extracting #2: cost 276 inf + 0
59.921 * * [simplify]: Extracting #3: cost 294 inf + 3107
59.927 * * [simplify]: Extracting #4: cost 150 inf + 62887
59.946 * * [simplify]: Extracting #5: cost 22 inf + 144631
59.980 * * [simplify]: Extracting #6: cost 0 inf + 161139
60.019 * [simplify]: Simplified to (* (cbrt 2) (cbrt (* PI n)))
60.019 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (* (cbrt 2) (cbrt (* PI n)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
60.020 * * * * [progress]: [ 216 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (* (exp (* 1/3 (- (log PI) (log (/ 1 n))))) (cbrt 2))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
60.020 * [simplify]: Simplifying (* (exp (* 1/3 (- (log PI) (log (/ 1 n))))) (cbrt 2))
60.020 * * [simplify]: iters left: 6 (13 enodes)
60.024 * * [simplify]: iters left: 5 (51 enodes)
60.032 * * [simplify]: iters left: 4 (69 enodes)
60.043 * * [simplify]: iters left: 3 (116 enodes)
60.062 * * [simplify]: iters left: 2 (206 enodes)
60.128 * * [simplify]: iters left: 1 (397 enodes)
60.242 * * [simplify]: Extracting #0: cost 1 inf + 0
60.242 * * [simplify]: Extracting #1: cost 55 inf + 0
60.244 * * [simplify]: Extracting #2: cost 218 inf + 0
60.246 * * [simplify]: Extracting #3: cost 249 inf + 2412
60.252 * * [simplify]: Extracting #4: cost 148 inf + 33418
60.269 * * [simplify]: Extracting #5: cost 49 inf + 86184
60.285 * * [simplify]: Extracting #6: cost 1 inf + 133962
60.305 * * [simplify]: Extracting #7: cost 0 inf + 127262
60.327 * * [simplify]: Extracting #8: cost 0 inf + 126408
60.341 * [simplify]: Simplified to (* (cbrt 2) (cbrt (* PI n)))
60.341 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (* (cbrt 2) (cbrt (* PI n)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
60.342 * * * * [progress]: [ 217 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ -1 n))))))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
60.342 * [simplify]: Simplifying (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ -1 n))))))
60.342 * * [simplify]: iters left: 6 (13 enodes)
60.346 * * [simplify]: iters left: 5 (48 enodes)
60.359 * * [simplify]: iters left: 4 (73 enodes)
60.376 * * [simplify]: iters left: 3 (136 enodes)
60.403 * * [simplify]: iters left: 2 (267 enodes)
60.481 * * [simplify]: Extracting #0: cost 1 inf + 0
60.481 * * [simplify]: Extracting #1: cost 27 inf + 0
60.481 * * [simplify]: Extracting #2: cost 99 inf + 0
60.482 * * [simplify]: Extracting #3: cost 151 inf + 869
60.482 * * [simplify]: Extracting #4: cost 157 inf + 3125
60.484 * * [simplify]: Extracting #5: cost 123 inf + 7937
60.489 * * [simplify]: Extracting #6: cost 62 inf + 21340
60.499 * * [simplify]: Extracting #7: cost 22 inf + 33835
60.512 * * [simplify]: Extracting #8: cost 3 inf + 47455
60.518 * * [simplify]: Extracting #9: cost 0 inf + 49976
60.525 * [simplify]: Simplified to (* (cbrt (/ PI (/ -1 n))) (cbrt -2))
60.525 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (* (cbrt (/ PI (/ -1 n))) (cbrt -2))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
60.525 * * * * [progress]: [ 218 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
60.526 * [simplify]: Simplifying (* (cbrt 2) (exp (* 1/3 (+ (log PI) (log n)))))
60.526 * * [simplify]: iters left: 6 (11 enodes)
60.529 * * [simplify]: iters left: 5 (44 enodes)
60.537 * * [simplify]: iters left: 4 (67 enodes)
60.547 * * [simplify]: iters left: 3 (108 enodes)
60.565 * * [simplify]: iters left: 2 (171 enodes)
60.630 * * [simplify]: iters left: 1 (379 enodes)
60.761 * * [simplify]: Extracting #0: cost 1 inf + 0
60.762 * * [simplify]: Extracting #1: cost 72 inf + 0
60.762 * * [simplify]: Extracting #2: cost 276 inf + 0
60.764 * * [simplify]: Extracting #3: cost 294 inf + 3107
60.769 * * [simplify]: Extracting #4: cost 150 inf + 62887
60.797 * * [simplify]: Extracting #5: cost 22 inf + 144631
60.816 * * [simplify]: Extracting #6: cost 0 inf + 161139
60.837 * [simplify]: Simplified to (* (cbrt 2) (cbrt (* PI n)))
60.837 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (* (cbrt 2) (cbrt (* PI n)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
60.838 * * * * [progress]: [ 219 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (* (exp (* 1/3 (- (log PI) (log (/ 1 n))))) (cbrt 2))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
60.838 * [simplify]: Simplifying (* (exp (* 1/3 (- (log PI) (log (/ 1 n))))) (cbrt 2))
60.838 * * [simplify]: iters left: 6 (13 enodes)
60.846 * * [simplify]: iters left: 5 (51 enodes)
60.862 * * [simplify]: iters left: 4 (69 enodes)
60.884 * * [simplify]: iters left: 3 (116 enodes)
60.925 * * [simplify]: iters left: 2 (206 enodes)
60.990 * * [simplify]: iters left: 1 (397 enodes)
61.088 * * [simplify]: Extracting #0: cost 1 inf + 0
61.088 * * [simplify]: Extracting #1: cost 55 inf + 0
61.088 * * [simplify]: Extracting #2: cost 218 inf + 0
61.089 * * [simplify]: Extracting #3: cost 249 inf + 2412
61.096 * * [simplify]: Extracting #4: cost 148 inf + 33418
61.109 * * [simplify]: Extracting #5: cost 49 inf + 86184
61.138 * * [simplify]: Extracting #6: cost 1 inf + 133962
61.166 * * [simplify]: Extracting #7: cost 0 inf + 127262
61.194 * * [simplify]: Extracting #8: cost 0 inf + 126408
61.221 * [simplify]: Simplified to (* (cbrt 2) (cbrt (* PI n)))
61.222 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (* (cbrt 2) (cbrt (* PI n)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
61.222 * * * * [progress]: [ 220 / 220 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ -1 n))))))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
61.222 * [simplify]: Simplifying (* (cbrt -2) (exp (* 1/3 (- (log PI) (log (/ -1 n))))))
61.222 * * [simplify]: iters left: 6 (13 enodes)
61.230 * * [simplify]: iters left: 5 (48 enodes)
61.248 * * [simplify]: iters left: 4 (73 enodes)
61.272 * * [simplify]: iters left: 3 (136 enodes)
61.303 * * [simplify]: iters left: 2 (267 enodes)
61.384 * * [simplify]: Extracting #0: cost 1 inf + 0
61.384 * * [simplify]: Extracting #1: cost 27 inf + 0
61.384 * * [simplify]: Extracting #2: cost 99 inf + 0
61.385 * * [simplify]: Extracting #3: cost 151 inf + 869
61.387 * * [simplify]: Extracting #4: cost 157 inf + 3125
61.389 * * [simplify]: Extracting #5: cost 123 inf + 7937
61.395 * * [simplify]: Extracting #6: cost 62 inf + 21340
61.401 * * [simplify]: Extracting #7: cost 22 inf + 33835
61.407 * * [simplify]: Extracting #8: cost 3 inf + 47455
61.414 * * [simplify]: Extracting #9: cost 0 inf + 49976
61.421 * [simplify]: Simplified to (* (cbrt (/ PI (/ -1 n))) (cbrt -2))
61.421 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (k n) (* (/ (pow (* (* (cbrt (* n (* 2 PI))) (* (cbrt (/ PI (/ -1 n))) (cbrt -2))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))
61.421 * * * [progress]: adding candidates to table
64.928 * * [progress]: iteration 4 / 4
64.928 * * * [progress]: picking best candidate
64.963 * * * * [pick]: Picked  #<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)) 4)) (sqrt k))))>
64.963 * * * [progress]: localizing error
65.074 * * * [progress]: generating rewritten candidates
65.074 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
65.098 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
65.128 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1)
65.131 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1 2)
65.140 * * * [progress]: generating series expansions
65.140 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
65.141 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) into (pow (* 2 (* n PI)) (pow (pow (- 1 k) 2) 1/3))
65.141 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (pow (pow (- 1 k) 2) 1/3)) in (n k) around 0
65.141 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (pow (pow (- 1 k) 2) 1/3)) in k
65.141 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 k) 2) 1/3) (log (* 2 (* n PI))))) in k
65.141 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 k) 2) 1/3) (log (* 2 (* n PI)))) in k
65.141 * [taylor]: Taking taylor expansion of (pow (pow (- 1 k) 2) 1/3) in k
65.141 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 k) 2)))) in k
65.141 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 k) 2))) in k
65.141 * [taylor]: Taking taylor expansion of 1/3 in k
65.141 * [backup-simplify]: Simplify 1/3 into 1/3
65.141 * [taylor]: Taking taylor expansion of (log (pow (- 1 k) 2)) in k
65.142 * [taylor]: Taking taylor expansion of (pow (- 1 k) 2) in k
65.142 * [taylor]: Taking taylor expansion of (- 1 k) in k
65.142 * [taylor]: Taking taylor expansion of 1 in k
65.142 * [backup-simplify]: Simplify 1 into 1
65.142 * [taylor]: Taking taylor expansion of k in k
65.142 * [backup-simplify]: Simplify 0 into 0
65.142 * [backup-simplify]: Simplify 1 into 1
65.142 * [backup-simplify]: Simplify (- 0) into 0
65.142 * [backup-simplify]: Simplify (+ 1 0) into 1
65.142 * [backup-simplify]: Simplify (* 1 1) into 1
65.143 * [backup-simplify]: Simplify (log 1) into 0
65.143 * [backup-simplify]: Simplify (* 1/3 0) into 0
65.143 * [backup-simplify]: Simplify (- 1) into -1
65.143 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.144 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1 1)) into -2
65.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2
65.145 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3
65.145 * [backup-simplify]: Simplify (exp 0) into 1
65.145 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
65.145 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
65.145 * [taylor]: Taking taylor expansion of 2 in k
65.145 * [backup-simplify]: Simplify 2 into 2
65.145 * [taylor]: Taking taylor expansion of (* n PI) in k
65.145 * [taylor]: Taking taylor expansion of n in k
65.145 * [backup-simplify]: Simplify n into n
65.145 * [taylor]: Taking taylor expansion of PI in k
65.145 * [backup-simplify]: Simplify PI into PI
65.145 * [backup-simplify]: Simplify (* n PI) into (* n PI)
65.145 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
65.145 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
65.145 * [backup-simplify]: Simplify (* 1 (log (* 2 (* n PI)))) into (log (* 2 (* n PI)))
65.145 * [backup-simplify]: Simplify (exp (log (* 2 (* n PI)))) into (* 2 (* n PI))
65.145 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (pow (pow (- 1 k) 2) 1/3)) in n
65.145 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 k) 2) 1/3) (log (* 2 (* n PI))))) in n
65.145 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 k) 2) 1/3) (log (* 2 (* n PI)))) in n
65.145 * [taylor]: Taking taylor expansion of (pow (pow (- 1 k) 2) 1/3) in n
65.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 k) 2)))) in n
65.145 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 k) 2))) in n
65.145 * [taylor]: Taking taylor expansion of 1/3 in n
65.145 * [backup-simplify]: Simplify 1/3 into 1/3
65.146 * [taylor]: Taking taylor expansion of (log (pow (- 1 k) 2)) in n
65.146 * [taylor]: Taking taylor expansion of (pow (- 1 k) 2) in n
65.146 * [taylor]: Taking taylor expansion of (- 1 k) in n
65.146 * [taylor]: Taking taylor expansion of 1 in n
65.146 * [backup-simplify]: Simplify 1 into 1
65.146 * [taylor]: Taking taylor expansion of k in n
65.146 * [backup-simplify]: Simplify k into k
65.146 * [backup-simplify]: Simplify (- k) into (- k)
65.146 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
65.146 * [backup-simplify]: Simplify (* (- 1 k) (- 1 k)) into (pow (- 1 k) 2)
65.146 * [backup-simplify]: Simplify (log (pow (- 1 k) 2)) into (log (pow (- 1 k) 2))
65.146 * [backup-simplify]: Simplify (* 1/3 (log (pow (- 1 k) 2))) into (* 1/3 (log (pow (- 1 k) 2)))
65.146 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- 1 k) 2)))) into (pow (pow (- 1 k) 2) 1/3)
65.146 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
65.146 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
65.146 * [taylor]: Taking taylor expansion of 2 in n
65.146 * [backup-simplify]: Simplify 2 into 2
65.146 * [taylor]: Taking taylor expansion of (* n PI) in n
65.146 * [taylor]: Taking taylor expansion of n in n
65.146 * [backup-simplify]: Simplify 0 into 0
65.146 * [backup-simplify]: Simplify 1 into 1
65.146 * [taylor]: Taking taylor expansion of PI in n
65.146 * [backup-simplify]: Simplify PI into PI
65.146 * [backup-simplify]: Simplify (* 0 PI) into 0
65.147 * [backup-simplify]: Simplify (* 2 0) into 0
65.148 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
65.148 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
65.149 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
65.150 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
65.150 * [backup-simplify]: Simplify (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI)))) into (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI))))
65.151 * [backup-simplify]: Simplify (exp (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI))))) into (exp (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI)))))
65.151 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (pow (pow (- 1 k) 2) 1/3)) in n
65.151 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 k) 2) 1/3) (log (* 2 (* n PI))))) in n
65.151 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 k) 2) 1/3) (log (* 2 (* n PI)))) in n
65.151 * [taylor]: Taking taylor expansion of (pow (pow (- 1 k) 2) 1/3) in n
65.151 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 k) 2)))) in n
65.151 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 k) 2))) in n
65.151 * [taylor]: Taking taylor expansion of 1/3 in n
65.151 * [backup-simplify]: Simplify 1/3 into 1/3
65.151 * [taylor]: Taking taylor expansion of (log (pow (- 1 k) 2)) in n
65.151 * [taylor]: Taking taylor expansion of (pow (- 1 k) 2) in n
65.151 * [taylor]: Taking taylor expansion of (- 1 k) in n
65.151 * [taylor]: Taking taylor expansion of 1 in n
65.151 * [backup-simplify]: Simplify 1 into 1
65.151 * [taylor]: Taking taylor expansion of k in n
65.151 * [backup-simplify]: Simplify k into k
65.151 * [backup-simplify]: Simplify (- k) into (- k)
65.151 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
65.152 * [backup-simplify]: Simplify (* (- 1 k) (- 1 k)) into (pow (- 1 k) 2)
65.152 * [backup-simplify]: Simplify (log (pow (- 1 k) 2)) into (log (pow (- 1 k) 2))
65.152 * [backup-simplify]: Simplify (* 1/3 (log (pow (- 1 k) 2))) into (* 1/3 (log (pow (- 1 k) 2)))
65.152 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- 1 k) 2)))) into (pow (pow (- 1 k) 2) 1/3)
65.152 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
65.152 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
65.152 * [taylor]: Taking taylor expansion of 2 in n
65.152 * [backup-simplify]: Simplify 2 into 2
65.152 * [taylor]: Taking taylor expansion of (* n PI) in n
65.152 * [taylor]: Taking taylor expansion of n in n
65.152 * [backup-simplify]: Simplify 0 into 0
65.152 * [backup-simplify]: Simplify 1 into 1
65.152 * [taylor]: Taking taylor expansion of PI in n
65.152 * [backup-simplify]: Simplify PI into PI
65.152 * [backup-simplify]: Simplify (* 0 PI) into 0
65.152 * [backup-simplify]: Simplify (* 2 0) into 0
65.153 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
65.154 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
65.155 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
65.156 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
65.156 * [backup-simplify]: Simplify (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI)))) into (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI))))
65.157 * [backup-simplify]: Simplify (exp (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI))))) into (exp (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI)))))
65.158 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI))))) in k
65.158 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI)))) in k
65.158 * [taylor]: Taking taylor expansion of (pow (pow (- 1 k) 2) 1/3) in k
65.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 k) 2)))) in k
65.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 k) 2))) in k
65.158 * [taylor]: Taking taylor expansion of 1/3 in k
65.158 * [backup-simplify]: Simplify 1/3 into 1/3
65.158 * [taylor]: Taking taylor expansion of (log (pow (- 1 k) 2)) in k
65.158 * [taylor]: Taking taylor expansion of (pow (- 1 k) 2) in k
65.158 * [taylor]: Taking taylor expansion of (- 1 k) in k
65.158 * [taylor]: Taking taylor expansion of 1 in k
65.158 * [backup-simplify]: Simplify 1 into 1
65.158 * [taylor]: Taking taylor expansion of k in k
65.158 * [backup-simplify]: Simplify 0 into 0
65.158 * [backup-simplify]: Simplify 1 into 1
65.158 * [backup-simplify]: Simplify (- 0) into 0
65.159 * [backup-simplify]: Simplify (+ 1 0) into 1
65.159 * [backup-simplify]: Simplify (* 1 1) into 1
65.160 * [backup-simplify]: Simplify (log 1) into 0
65.160 * [backup-simplify]: Simplify (* 1/3 0) into 0
65.160 * [backup-simplify]: Simplify (- 1) into -1
65.161 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.162 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1 1)) into -2
65.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2
65.164 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3
65.164 * [backup-simplify]: Simplify (exp 0) into 1
65.164 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
65.164 * [taylor]: Taking taylor expansion of (log n) in k
65.164 * [taylor]: Taking taylor expansion of n in k
65.164 * [backup-simplify]: Simplify n into n
65.164 * [backup-simplify]: Simplify (log n) into (log n)
65.164 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
65.164 * [taylor]: Taking taylor expansion of (* 2 PI) in k
65.164 * [taylor]: Taking taylor expansion of 2 in k
65.164 * [backup-simplify]: Simplify 2 into 2
65.164 * [taylor]: Taking taylor expansion of PI in k
65.164 * [backup-simplify]: Simplify PI into PI
65.165 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
65.166 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
65.167 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
65.168 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
65.169 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI))))
65.170 * [backup-simplify]: Simplify (exp (+ (log n) (log (* 2 PI)))) into (exp (+ (log n) (log (* 2 PI))))
65.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
65.172 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
65.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
65.174 * [backup-simplify]: Simplify (- 0) into 0
65.175 * [backup-simplify]: Simplify (+ 0 0) into 0
65.175 * [backup-simplify]: Simplify (+ (* (- 1 k) 0) (* 0 (- 1 k))) into 0
65.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (- 1 k) 2) 1)))) 1) into 0
65.177 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow (- 1 k) 2)))) into 0
65.178 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- 1 k) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
65.179 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
65.180 * [backup-simplify]: Simplify (+ (* (pow (pow (- 1 k) 2) 1/3) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
65.182 * [backup-simplify]: Simplify (* (exp (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
65.182 * [taylor]: Taking taylor expansion of 0 in k
65.182 * [backup-simplify]: Simplify 0 into 0
65.182 * [backup-simplify]: Simplify 0 into 0
65.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
65.184 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
65.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
65.186 * [backup-simplify]: Simplify (+ 0 0) into 0
65.187 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -2/3 1) 1)))) into -2/3
65.188 * [backup-simplify]: Simplify (+ (* 1 0) (* -2/3 (+ (log n) (log (* 2 PI))))) into (- (+ (* 2/3 (log (* 2 PI))) (* 2/3 (log n))))
65.191 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* 2/3 (log (* 2 PI))) (* 2/3 (log n)))) 1) 1)))) into (* -1 (* (+ (* 2/3 (log n)) (* 2/3 (log (* 2 PI)))) (exp (+ (log n) (log (* 2 PI))))))
65.193 * [backup-simplify]: Simplify (* -1 (* (+ (* 2/3 (log n)) (* 2/3 (log (* 2 PI)))) (exp (+ (log n) (log (* 2 PI)))))) into (* -1 (* (+ (* 2/3 (log n)) (* 2/3 (log (* 2 PI)))) (exp (+ (log n) (log (* 2 PI))))))
65.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
65.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
65.198 * [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
65.199 * [backup-simplify]: Simplify (- 0) into 0
65.199 * [backup-simplify]: Simplify (+ 0 0) into 0
65.199 * [backup-simplify]: Simplify (+ (* (- 1 k) 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
65.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (- 1 k) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (- 1 k) 2) 1)))) 2) into 0
65.202 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (- 1 k) 2))))) into 0
65.203 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- 1 k) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
65.204 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
65.205 * [backup-simplify]: Simplify (+ (* (pow (pow (- 1 k) 2) 1/3) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
65.207 * [backup-simplify]: Simplify (* (exp (* (pow (pow (- 1 k) 2) 1/3) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
65.207 * [taylor]: Taking taylor expansion of 0 in k
65.207 * [backup-simplify]: Simplify 0 into 0
65.207 * [backup-simplify]: Simplify 0 into 0
65.207 * [backup-simplify]: Simplify 0 into 0
65.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
65.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
65.213 * [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
65.213 * [backup-simplify]: Simplify (+ 0 0) into 0
65.213 * [backup-simplify]: Simplify (- 0) into 0
65.214 * [backup-simplify]: Simplify (+ 0 0) into 0
65.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 -1) (* 0 1))) into 1
65.217 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1
65.218 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 0))) into -1/3
65.220 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into -1/9
65.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -2/3 0) (* -1/9 (+ (log n) (log (* 2 PI)))))) into (- (+ (* 1/9 (log n)) (* 1/9 (log (* 2 PI)))))
65.225 * [backup-simplify]: Simplify (* (exp (+ (log n) (log (* 2 PI)))) (+ (* (/ (pow (- (+ (* 2/3 (log (* 2 PI))) (* 2/3 (log n)))) 2) 2)) (* (/ (pow (- (+ (* 1/9 (log n)) (* 1/9 (log (* 2 PI))))) 1) 1)))) into (* (- (+ (* 2/9 (pow (log n) 2)) (+ (* 4/9 (* (log n) (log (* 2 PI)))) (* 2/9 (pow (log (* 2 PI)) 2)))) (+ (* 1/9 (log (* 2 PI))) (* 1/9 (log n)))) (exp (+ (log n) (log (* 2 PI)))))
65.231 * [backup-simplify]: Simplify (* (- (+ (* 2/9 (pow (log n) 2)) (+ (* 4/9 (* (log n) (log (* 2 PI)))) (* 2/9 (pow (log (* 2 PI)) 2)))) (+ (* 1/9 (log (* 2 PI))) (* 1/9 (log n)))) (exp (+ (log n) (log (* 2 PI))))) into (* (- (+ (* 2/9 (pow (log n) 2)) (+ (* 4/9 (* (log n) (log (* 2 PI)))) (* 2/9 (pow (log (* 2 PI)) 2)))) (+ (* 1/9 (log (* 2 PI))) (* 1/9 (log n)))) (exp (+ (log n) (log (* 2 PI)))))
65.241 * [backup-simplify]: Simplify (+ (* (* (- (+ (* 2/9 (pow (log n) 2)) (+ (* 4/9 (* (log n) (log (* 2 PI)))) (* 2/9 (pow (log (* 2 PI)) 2)))) (+ (* 1/9 (log (* 2 PI))) (* 1/9 (log n)))) (exp (+ (log n) (log (* 2 PI))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 2/3 (log n)) (* 2/3 (log (* 2 PI)))) (exp (+ (log n) (log (* 2 PI)))))) (* k 1)) (exp (+ (log n) (log (* 2 PI)))))) into (- (+ (* 2/9 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (+ (* 4/9 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (+ (* 2/9 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2)))) (exp (+ (log n) (log (* 2 PI))))))) (+ (* 2/3 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (+ (* 1/9 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (+ (* 1/9 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (* 2/3 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI)))))))))
65.242 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (* (cbrt (- 1 (/ 1 k))) (cbrt (- 1 (/ 1 k)))) 1) 1)) into (pow (* 2 (/ PI n)) (pow (pow (- 1 (/ 1 k)) 2) 1/3))
65.242 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (pow (pow (- 1 (/ 1 k)) 2) 1/3)) in (n k) around 0
65.242 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (pow (pow (- 1 (/ 1 k)) 2) 1/3)) in k
65.242 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (log (* 2 (/ PI n))))) in k
65.242 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (log (* 2 (/ PI n)))) in k
65.242 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 k)) 2) 1/3) in k
65.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) in k
65.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 k)) 2))) in k
65.242 * [taylor]: Taking taylor expansion of 1/3 in k
65.242 * [backup-simplify]: Simplify 1/3 into 1/3
65.242 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 k)) 2)) in k
65.242 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 2) in k
65.242 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
65.242 * [taylor]: Taking taylor expansion of 1 in k
65.242 * [backup-simplify]: Simplify 1 into 1
65.242 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.242 * [taylor]: Taking taylor expansion of k in k
65.242 * [backup-simplify]: Simplify 0 into 0
65.242 * [backup-simplify]: Simplify 1 into 1
65.243 * [backup-simplify]: Simplify (/ 1 1) into 1
65.243 * [backup-simplify]: Simplify (- 1) into -1
65.243 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.244 * [backup-simplify]: Simplify (* -1 -1) into 1
65.244 * [backup-simplify]: Simplify (log 1) into 0
65.245 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
65.245 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log k)))) into (* -2/3 (log k))
65.245 * [backup-simplify]: Simplify (exp (* -2/3 (log k))) into (pow k -2/3)
65.245 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
65.245 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
65.245 * [taylor]: Taking taylor expansion of 2 in k
65.245 * [backup-simplify]: Simplify 2 into 2
65.245 * [taylor]: Taking taylor expansion of (/ PI n) in k
65.245 * [taylor]: Taking taylor expansion of PI in k
65.245 * [backup-simplify]: Simplify PI into PI
65.245 * [taylor]: Taking taylor expansion of n in k
65.245 * [backup-simplify]: Simplify n into n
65.245 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
65.245 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
65.245 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
65.245 * [backup-simplify]: Simplify (* (pow k -2/3) (log (* 2 (/ PI n)))) into (* (log (* 2 (/ PI n))) (pow (/ 1 (pow k 2)) 1/3))
65.245 * [backup-simplify]: Simplify (exp (* (log (* 2 (/ PI n))) (pow (/ 1 (pow k 2)) 1/3))) into (exp (* (log (* 2 (/ PI n))) (pow (/ 1 (pow k 2)) 1/3)))
65.246 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (pow (pow (- 1 (/ 1 k)) 2) 1/3)) in n
65.246 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (log (* 2 (/ PI n))))) in n
65.246 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (log (* 2 (/ PI n)))) in n
65.246 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 k)) 2) 1/3) in n
65.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) in n
65.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 k)) 2))) in n
65.246 * [taylor]: Taking taylor expansion of 1/3 in n
65.246 * [backup-simplify]: Simplify 1/3 into 1/3
65.246 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 k)) 2)) in n
65.246 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 2) in n
65.246 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
65.246 * [taylor]: Taking taylor expansion of 1 in n
65.246 * [backup-simplify]: Simplify 1 into 1
65.246 * [taylor]: Taking taylor expansion of (/ 1 k) in n
65.246 * [taylor]: Taking taylor expansion of k in n
65.246 * [backup-simplify]: Simplify k into k
65.246 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
65.246 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
65.246 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
65.246 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- 1 (/ 1 k))) into (pow (- 1 (/ 1 k)) 2)
65.246 * [backup-simplify]: Simplify (log (pow (- 1 (/ 1 k)) 2)) into (log (pow (- 1 (/ 1 k)) 2))
65.247 * [backup-simplify]: Simplify (* 1/3 (log (pow (- 1 (/ 1 k)) 2))) into (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))
65.247 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) into (pow (pow (- 1 (/ 1 k)) 2) 1/3)
65.247 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
65.247 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
65.247 * [taylor]: Taking taylor expansion of 2 in n
65.247 * [backup-simplify]: Simplify 2 into 2
65.247 * [taylor]: Taking taylor expansion of (/ PI n) in n
65.247 * [taylor]: Taking taylor expansion of PI in n
65.247 * [backup-simplify]: Simplify PI into PI
65.247 * [taylor]: Taking taylor expansion of n in n
65.247 * [backup-simplify]: Simplify 0 into 0
65.247 * [backup-simplify]: Simplify 1 into 1
65.248 * [backup-simplify]: Simplify (/ PI 1) into PI
65.248 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
65.249 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
65.250 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
65.251 * [backup-simplify]: Simplify (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n))) into (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n)))
65.258 * [backup-simplify]: Simplify (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n)))) into (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n))))
65.258 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (pow (pow (- 1 (/ 1 k)) 2) 1/3)) in n
65.258 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (log (* 2 (/ PI n))))) in n
65.258 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (log (* 2 (/ PI n)))) in n
65.258 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 k)) 2) 1/3) in n
65.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) in n
65.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 k)) 2))) in n
65.258 * [taylor]: Taking taylor expansion of 1/3 in n
65.258 * [backup-simplify]: Simplify 1/3 into 1/3
65.258 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 k)) 2)) in n
65.258 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 2) in n
65.258 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
65.258 * [taylor]: Taking taylor expansion of 1 in n
65.258 * [backup-simplify]: Simplify 1 into 1
65.258 * [taylor]: Taking taylor expansion of (/ 1 k) in n
65.258 * [taylor]: Taking taylor expansion of k in n
65.259 * [backup-simplify]: Simplify k into k
65.259 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
65.259 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
65.259 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
65.259 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- 1 (/ 1 k))) into (pow (- 1 (/ 1 k)) 2)
65.259 * [backup-simplify]: Simplify (log (pow (- 1 (/ 1 k)) 2)) into (log (pow (- 1 (/ 1 k)) 2))
65.259 * [backup-simplify]: Simplify (* 1/3 (log (pow (- 1 (/ 1 k)) 2))) into (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))
65.259 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) into (pow (pow (- 1 (/ 1 k)) 2) 1/3)
65.259 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
65.259 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
65.259 * [taylor]: Taking taylor expansion of 2 in n
65.259 * [backup-simplify]: Simplify 2 into 2
65.259 * [taylor]: Taking taylor expansion of (/ PI n) in n
65.259 * [taylor]: Taking taylor expansion of PI in n
65.259 * [backup-simplify]: Simplify PI into PI
65.259 * [taylor]: Taking taylor expansion of n in n
65.259 * [backup-simplify]: Simplify 0 into 0
65.259 * [backup-simplify]: Simplify 1 into 1
65.260 * [backup-simplify]: Simplify (/ PI 1) into PI
65.261 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
65.261 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
65.263 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
65.264 * [backup-simplify]: Simplify (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n))) into (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n)))
65.265 * [backup-simplify]: Simplify (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n)))) into (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n))))
65.265 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n)))) in k
65.265 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n))) in k
65.265 * [taylor]: Taking taylor expansion of (pow (pow (- 1 (/ 1 k)) 2) 1/3) in k
65.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) in k
65.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1 (/ 1 k)) 2))) in k
65.265 * [taylor]: Taking taylor expansion of 1/3 in k
65.265 * [backup-simplify]: Simplify 1/3 into 1/3
65.265 * [taylor]: Taking taylor expansion of (log (pow (- 1 (/ 1 k)) 2)) in k
65.265 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 2) in k
65.265 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
65.265 * [taylor]: Taking taylor expansion of 1 in k
65.265 * [backup-simplify]: Simplify 1 into 1
65.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.265 * [taylor]: Taking taylor expansion of k in k
65.265 * [backup-simplify]: Simplify 0 into 0
65.265 * [backup-simplify]: Simplify 1 into 1
65.266 * [backup-simplify]: Simplify (/ 1 1) into 1
65.266 * [backup-simplify]: Simplify (- 1) into -1
65.267 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.267 * [backup-simplify]: Simplify (* -1 -1) into 1
65.267 * [backup-simplify]: Simplify (log 1) into 0
65.268 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
65.268 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log k)))) into (* -2/3 (log k))
65.268 * [backup-simplify]: Simplify (exp (* -2/3 (log k))) into (pow k -2/3)
65.268 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
65.268 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
65.268 * [taylor]: Taking taylor expansion of (* 2 PI) in k
65.268 * [taylor]: Taking taylor expansion of 2 in k
65.268 * [backup-simplify]: Simplify 2 into 2
65.268 * [taylor]: Taking taylor expansion of PI in k
65.268 * [backup-simplify]: Simplify PI into PI
65.269 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
65.270 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
65.270 * [taylor]: Taking taylor expansion of (log n) in k
65.270 * [taylor]: Taking taylor expansion of n in k
65.270 * [backup-simplify]: Simplify n into n
65.270 * [backup-simplify]: Simplify (log n) into (log n)
65.270 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
65.271 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
65.272 * [backup-simplify]: Simplify (* (pow k -2/3) (- (log (* 2 PI)) (log n))) into (* (- (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))
65.273 * [backup-simplify]: Simplify (exp (* (- (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) into (exp (* (- (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3)))
65.274 * [backup-simplify]: Simplify (exp (* (- (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) into (exp (* (- (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3)))
65.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
65.275 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
65.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
65.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
65.278 * [backup-simplify]: Simplify (- 0) into 0
65.279 * [backup-simplify]: Simplify (+ 0 0) into 0
65.279 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- 1 (/ 1 k)))) into 0
65.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (- 1 (/ 1 k)) 2) 1)))) 1) into 0
65.280 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow (- 1 (/ 1 k)) 2)))) into 0
65.281 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
65.282 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
65.283 * [backup-simplify]: Simplify (+ (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
65.285 * [backup-simplify]: Simplify (* (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
65.285 * [taylor]: Taking taylor expansion of 0 in k
65.285 * [backup-simplify]: Simplify 0 into 0
65.285 * [backup-simplify]: Simplify 0 into 0
65.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
65.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
65.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
65.289 * [backup-simplify]: Simplify (- 0) into 0
65.290 * [backup-simplify]: Simplify (+ 0 0) into 0
65.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.291 * [backup-simplify]: Simplify (- 0) into 0
65.291 * [backup-simplify]: Simplify (+ 1 0) into 1
65.292 * [backup-simplify]: Simplify (+ (* -1 1) (* 1 -1)) into -2
65.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2
65.294 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
65.294 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 2 (log k))))) into (- 2/3)
65.295 * [backup-simplify]: Simplify (* (exp (* -2/3 (log k))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow k 2)) 1/3))
65.296 * [backup-simplify]: Simplify (+ (* (pow k -2/3) 0) (* (* -2/3 (pow (/ 1 (pow k 2)) 1/3)) (- (log (* 2 PI)) (log n)))) into (- (* 2/3 (* (log n) (pow (/ 1 (pow k 2)) 1/3))) (* 2/3 (* (log (* 2 PI)) (pow (/ 1 (pow k 2)) 1/3))))
65.299 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) (+ (* (/ (pow (- (* 2/3 (* (log n) (pow (/ 1 (pow k 2)) 1/3))) (* 2/3 (* (log (* 2 PI)) (pow (/ 1 (pow k 2)) 1/3)))) 1) 1)))) into (* (exp (* (- (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) (- (* 2/3 (* (log n) (pow (/ 1 (pow k 2)) 1/3))) (* 2/3 (* (log (* 2 PI)) (pow (/ 1 (pow k 2)) 1/3)))))
65.302 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) (- (* 2/3 (* (log n) (pow (/ 1 (pow k 2)) 1/3))) (* 2/3 (* (log (* 2 PI)) (pow (/ 1 (pow k 2)) 1/3))))) into (* (exp (* (- (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) (- (* 2/3 (* (log n) (pow (/ 1 (pow k 2)) 1/3))) (* 2/3 (* (log (* 2 PI)) (pow (/ 1 (pow k 2)) 1/3)))))
65.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.304 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
65.307 * [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
65.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
65.308 * [backup-simplify]: Simplify (- 0) into 0
65.308 * [backup-simplify]: Simplify (+ 0 0) into 0
65.308 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
65.310 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (- 1 (/ 1 k)) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (- 1 (/ 1 k)) 2) 1)))) 2) into 0
65.311 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (- 1 (/ 1 k)) 2))))) into 0
65.312 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (- 1 (/ 1 k)) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
65.314 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
65.315 * [backup-simplify]: Simplify (+ (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
65.317 * [backup-simplify]: Simplify (* (exp (* (pow (pow (- 1 (/ 1 k)) 2) 1/3) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
65.318 * [taylor]: Taking taylor expansion of 0 in k
65.318 * [backup-simplify]: Simplify 0 into 0
65.318 * [backup-simplify]: Simplify 0 into 0
65.318 * [backup-simplify]: Simplify 0 into 0
65.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
65.321 * [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
65.322 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
65.323 * [backup-simplify]: Simplify (- 0) into 0
65.323 * [backup-simplify]: Simplify (+ 0 0) into 0
65.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.324 * [backup-simplify]: Simplify (- 0) into 0
65.324 * [backup-simplify]: Simplify (+ 0 0) into 0
65.325 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1
65.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1
65.327 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
65.327 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (* 2 (log k)))))) into (- 1/3)
65.328 * [backup-simplify]: Simplify (* (exp (* -2/3 (log k))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow k 2)) 1/3))
65.329 * [backup-simplify]: Simplify (+ (* (pow k -2/3) 0) (+ (* (* -2/3 (pow (/ 1 (pow k 2)) 1/3)) 0) (* (* -1/9 (pow (/ 1 (pow k 2)) 1/3)) (- (log (* 2 PI)) (log n))))) into (- (* 1/9 (* (log n) (pow (/ 1 (pow k 2)) 1/3))) (* 1/9 (* (log (* 2 PI)) (pow (/ 1 (pow k 2)) 1/3))))
65.332 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) (+ (* (/ (pow (- (* 2/3 (* (log n) (pow (/ 1 (pow k 2)) 1/3))) (* 2/3 (* (log (* 2 PI)) (pow (/ 1 (pow k 2)) 1/3)))) 2) 2)) (* (/ (pow (- (* 1/9 (* (log n) (pow (/ 1 (pow k 2)) 1/3))) (* 1/9 (* (log (* 2 PI)) (pow (/ 1 (pow k 2)) 1/3)))) 1) 1)))) into (* (exp (* (- (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) (- (+ (* 2/9 (* (pow (log n) 2) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/9 (* (pow (log (* 2 PI)) 2) (pow (/ 1 (pow k 4)) 1/3))) (* 1/9 (* (log n) (pow (/ 1 (pow k 2)) 1/3))))) (+ (* 2/9 (* (pow (/ 1 (pow k 4)) 1/3) (* (log n) (log (* 2 PI))))) (+ (* 2/9 (* (* (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 4)) 1/3))) (* 1/9 (* (log (* 2 PI)) (pow (/ 1 (pow k 2)) 1/3)))))))
65.337 * [backup-simplify]: Simplify (* (exp (* (- (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) (- (+ (* 2/9 (* (pow (log n) 2) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/9 (* (pow (log (* 2 PI)) 2) (pow (/ 1 (pow k 4)) 1/3))) (* 1/9 (* (log n) (pow (/ 1 (pow k 2)) 1/3))))) (+ (* 2/9 (* (pow (/ 1 (pow k 4)) 1/3) (* (log n) (log (* 2 PI))))) (+ (* 2/9 (* (* (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 4)) 1/3))) (* 1/9 (* (log (* 2 PI)) (pow (/ 1 (pow k 2)) 1/3))))))) into (* (exp (* (- (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) (- (+ (* 2/9 (* (pow (log n) 2) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/9 (* (pow (log (* 2 PI)) 2) (pow (/ 1 (pow k 4)) 1/3))) (* 1/9 (* (log n) (pow (/ 1 (pow k 2)) 1/3))))) (+ (* 2/9 (* (* (log (* 2 PI)) (log n)) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/9 (* (pow (/ 1 (pow k 4)) 1/3) (* (log n) (log (* 2 PI))))) (* 1/9 (* (log (* 2 PI)) (pow (/ 1 (pow k 2)) 1/3)))))))
65.344 * [backup-simplify]: Simplify (+ (* (* (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (/ 1 (pow (/ 1 k) 2)) 1/3))) (- (+ (* 2/9 (* (pow (log (/ 1 n)) 2) (pow (/ 1 (pow (/ 1 k) 4)) 1/3))) (+ (* 2/9 (* (pow (log (* 2 PI)) 2) (pow (/ 1 (pow (/ 1 k) 4)) 1/3))) (* 1/9 (* (log (/ 1 n)) (pow (/ 1 (pow (/ 1 k) 2)) 1/3))))) (+ (* 2/9 (* (* (log (* 2 PI)) (log (/ 1 n))) (pow (/ 1 (pow (/ 1 k) 4)) 1/3))) (+ (* 2/9 (* (pow (/ 1 (pow (/ 1 k) 4)) 1/3) (* (log (/ 1 n)) (log (* 2 PI))))) (* 1/9 (* (log (* 2 PI)) (pow (/ 1 (pow (/ 1 k) 2)) 1/3))))))) (pow (* (/ 1 k) 1) 2)) (+ (* (* (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (/ 1 (pow (/ 1 k) 2)) 1/3))) (- (* 2/3 (* (log (/ 1 n)) (pow (/ 1 (pow (/ 1 k) 2)) 1/3))) (* 2/3 (* (log (* 2 PI)) (pow (/ 1 (pow (/ 1 k) 2)) 1/3))))) (* (/ 1 k) 1)) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (/ 1 (pow (/ 1 k) 2)) 1/3))))) into (- (+ (* 1/9 (* (pow (/ 1 (pow k 4)) 1/3) (* (log (/ 1 n)) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))))) (+ (* 2/9 (* (pow (/ 1 (pow k 2)) 1/3) (* (pow (log (/ 1 n)) 2) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))))) (+ (* 2/3 (* (pow (/ 1 k) 1/3) (* (log (/ 1 n)) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))))) (+ (* 2/9 (* (* (pow (log (* 2 PI)) 2) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 2)) 1/3))) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3))))))) (+ (* 2/3 (* (pow (/ 1 k) 1/3) (* (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3))) (log (* 2 PI))))) (+ (* 1/9 (* (* (log (* 2 PI)) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/9 (* (pow (/ 1 (pow k 2)) 1/3) (* (log (/ 1 n)) (* (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3))) (log (* 2 PI)))))) (* 2/9 (* (* (log (* 2 PI)) (* (log (/ 1 n)) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3))))) (pow (/ 1 (pow k 2)) 1/3)))))))
65.345 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (* (cbrt (- 1 (/ 1 (- k)))) (cbrt (- 1 (/ 1 (- k))))) 1) 1)) into (pow (* -2 (/ PI n)) (pow (pow (+ (/ 1 k) 1) 2) 1/3))
65.345 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (pow (pow (+ (/ 1 k) 1) 2) 1/3)) in (n k) around 0
65.345 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (pow (pow (+ (/ 1 k) 1) 2) 1/3)) in k
65.345 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (log (* -2 (/ PI n))))) in k
65.345 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (log (* -2 (/ PI n)))) in k
65.345 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 k) 1) 2) 1/3) in k
65.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) in k
65.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 k) 1) 2))) in k
65.345 * [taylor]: Taking taylor expansion of 1/3 in k
65.345 * [backup-simplify]: Simplify 1/3 into 1/3
65.345 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 k) 1) 2)) in k
65.345 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 2) in k
65.345 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
65.345 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.345 * [taylor]: Taking taylor expansion of k in k
65.345 * [backup-simplify]: Simplify 0 into 0
65.345 * [backup-simplify]: Simplify 1 into 1
65.346 * [backup-simplify]: Simplify (/ 1 1) into 1
65.346 * [taylor]: Taking taylor expansion of 1 in k
65.346 * [backup-simplify]: Simplify 1 into 1
65.346 * [backup-simplify]: Simplify (+ 1 0) into 1
65.346 * [backup-simplify]: Simplify (* 1 1) into 1
65.346 * [backup-simplify]: Simplify (log 1) into 0
65.347 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
65.347 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log k)))) into (* -2/3 (log k))
65.347 * [backup-simplify]: Simplify (exp (* -2/3 (log k))) into (pow k -2/3)
65.347 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
65.347 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
65.347 * [taylor]: Taking taylor expansion of -2 in k
65.347 * [backup-simplify]: Simplify -2 into -2
65.347 * [taylor]: Taking taylor expansion of (/ PI n) in k
65.347 * [taylor]: Taking taylor expansion of PI in k
65.347 * [backup-simplify]: Simplify PI into PI
65.347 * [taylor]: Taking taylor expansion of n in k
65.347 * [backup-simplify]: Simplify n into n
65.347 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
65.347 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
65.347 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
65.347 * [backup-simplify]: Simplify (* (pow k -2/3) (log (* -2 (/ PI n)))) into (* (log (* -2 (/ PI n))) (pow (/ 1 (pow k 2)) 1/3))
65.347 * [backup-simplify]: Simplify (exp (* (log (* -2 (/ PI n))) (pow (/ 1 (pow k 2)) 1/3))) into (exp (* (log (* -2 (/ PI n))) (pow (/ 1 (pow k 2)) 1/3)))
65.347 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (pow (pow (+ (/ 1 k) 1) 2) 1/3)) in n
65.348 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (log (* -2 (/ PI n))))) in n
65.348 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (log (* -2 (/ PI n)))) in n
65.348 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 k) 1) 2) 1/3) in n
65.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) in n
65.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 k) 1) 2))) in n
65.348 * [taylor]: Taking taylor expansion of 1/3 in n
65.348 * [backup-simplify]: Simplify 1/3 into 1/3
65.348 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 k) 1) 2)) in n
65.348 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 2) in n
65.348 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
65.348 * [taylor]: Taking taylor expansion of (/ 1 k) in n
65.348 * [taylor]: Taking taylor expansion of k in n
65.348 * [backup-simplify]: Simplify k into k
65.348 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
65.348 * [taylor]: Taking taylor expansion of 1 in n
65.348 * [backup-simplify]: Simplify 1 into 1
65.348 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
65.348 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (+ (/ 1 k) 1)) into (pow (+ (/ 1 k) 1) 2)
65.348 * [backup-simplify]: Simplify (log (pow (+ (/ 1 k) 1) 2)) into (log (pow (+ (/ 1 k) 1) 2))
65.348 * [backup-simplify]: Simplify (* 1/3 (log (pow (+ (/ 1 k) 1) 2))) into (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))
65.348 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) into (pow (pow (+ (/ 1 k) 1) 2) 1/3)
65.348 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
65.348 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
65.348 * [taylor]: Taking taylor expansion of -2 in n
65.348 * [backup-simplify]: Simplify -2 into -2
65.348 * [taylor]: Taking taylor expansion of (/ PI n) in n
65.348 * [taylor]: Taking taylor expansion of PI in n
65.348 * [backup-simplify]: Simplify PI into PI
65.348 * [taylor]: Taking taylor expansion of n in n
65.348 * [backup-simplify]: Simplify 0 into 0
65.348 * [backup-simplify]: Simplify 1 into 1
65.349 * [backup-simplify]: Simplify (/ PI 1) into PI
65.349 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
65.350 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
65.350 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
65.351 * [backup-simplify]: Simplify (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n))) into (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n)))
65.352 * [backup-simplify]: Simplify (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n)))) into (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n))))
65.352 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (pow (pow (+ (/ 1 k) 1) 2) 1/3)) in n
65.352 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (log (* -2 (/ PI n))))) in n
65.352 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (log (* -2 (/ PI n)))) in n
65.352 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 k) 1) 2) 1/3) in n
65.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) in n
65.352 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 k) 1) 2))) in n
65.352 * [taylor]: Taking taylor expansion of 1/3 in n
65.352 * [backup-simplify]: Simplify 1/3 into 1/3
65.352 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 k) 1) 2)) in n
65.352 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 2) in n
65.352 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
65.352 * [taylor]: Taking taylor expansion of (/ 1 k) in n
65.352 * [taylor]: Taking taylor expansion of k in n
65.352 * [backup-simplify]: Simplify k into k
65.352 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
65.352 * [taylor]: Taking taylor expansion of 1 in n
65.352 * [backup-simplify]: Simplify 1 into 1
65.352 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
65.352 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (+ (/ 1 k) 1)) into (pow (+ (/ 1 k) 1) 2)
65.352 * [backup-simplify]: Simplify (log (pow (+ (/ 1 k) 1) 2)) into (log (pow (+ (/ 1 k) 1) 2))
65.352 * [backup-simplify]: Simplify (* 1/3 (log (pow (+ (/ 1 k) 1) 2))) into (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))
65.353 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) into (pow (pow (+ (/ 1 k) 1) 2) 1/3)
65.353 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
65.353 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
65.353 * [taylor]: Taking taylor expansion of -2 in n
65.353 * [backup-simplify]: Simplify -2 into -2
65.353 * [taylor]: Taking taylor expansion of (/ PI n) in n
65.353 * [taylor]: Taking taylor expansion of PI in n
65.353 * [backup-simplify]: Simplify PI into PI
65.353 * [taylor]: Taking taylor expansion of n in n
65.353 * [backup-simplify]: Simplify 0 into 0
65.353 * [backup-simplify]: Simplify 1 into 1
65.353 * [backup-simplify]: Simplify (/ PI 1) into PI
65.353 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
65.354 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
65.355 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
65.355 * [backup-simplify]: Simplify (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n))) into (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n)))
65.356 * [backup-simplify]: Simplify (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n)))) into (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n))))
65.356 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n)))) in k
65.356 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n))) in k
65.356 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 k) 1) 2) 1/3) in k
65.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) in k
65.356 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 k) 1) 2))) in k
65.356 * [taylor]: Taking taylor expansion of 1/3 in k
65.356 * [backup-simplify]: Simplify 1/3 into 1/3
65.356 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 k) 1) 2)) in k
65.356 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 2) in k
65.356 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
65.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.356 * [taylor]: Taking taylor expansion of k in k
65.357 * [backup-simplify]: Simplify 0 into 0
65.357 * [backup-simplify]: Simplify 1 into 1
65.357 * [backup-simplify]: Simplify (/ 1 1) into 1
65.357 * [taylor]: Taking taylor expansion of 1 in k
65.357 * [backup-simplify]: Simplify 1 into 1
65.358 * [backup-simplify]: Simplify (+ 1 0) into 1
65.358 * [backup-simplify]: Simplify (* 1 1) into 1
65.358 * [backup-simplify]: Simplify (log 1) into 0
65.359 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
65.359 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log k)))) into (* -2/3 (log k))
65.359 * [backup-simplify]: Simplify (exp (* -2/3 (log k))) into (pow k -2/3)
65.359 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
65.359 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
65.359 * [taylor]: Taking taylor expansion of (* -2 PI) in k
65.359 * [taylor]: Taking taylor expansion of -2 in k
65.359 * [backup-simplify]: Simplify -2 into -2
65.359 * [taylor]: Taking taylor expansion of PI in k
65.359 * [backup-simplify]: Simplify PI into PI
65.360 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
65.361 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
65.361 * [taylor]: Taking taylor expansion of (log n) in k
65.361 * [taylor]: Taking taylor expansion of n in k
65.361 * [backup-simplify]: Simplify n into n
65.361 * [backup-simplify]: Simplify (log n) into (log n)
65.361 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
65.362 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
65.363 * [backup-simplify]: Simplify (* (pow k -2/3) (- (log (* -2 PI)) (log n))) into (* (- (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))
65.364 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) into (exp (* (- (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3)))
65.365 * [backup-simplify]: Simplify (exp (* (- (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) into (exp (* (- (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3)))
65.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
65.367 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
65.369 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
65.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
65.369 * [backup-simplify]: Simplify (+ 0 0) into 0
65.369 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (+ (/ 1 k) 1))) into 0
65.370 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (+ (/ 1 k) 1) 2) 1)))) 1) into 0
65.371 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow (+ (/ 1 k) 1) 2)))) into 0
65.377 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
65.378 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
65.379 * [backup-simplify]: Simplify (+ (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
65.381 * [backup-simplify]: Simplify (* (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
65.381 * [taylor]: Taking taylor expansion of 0 in k
65.382 * [backup-simplify]: Simplify 0 into 0
65.382 * [backup-simplify]: Simplify 0 into 0
65.382 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
65.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
65.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
65.385 * [backup-simplify]: Simplify (- 0) into 0
65.386 * [backup-simplify]: Simplify (+ 0 0) into 0
65.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.387 * [backup-simplify]: Simplify (+ 0 1) into 1
65.387 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2
65.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2
65.389 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
65.390 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 2 (log k))))) into 2/3
65.391 * [backup-simplify]: Simplify (* (exp (* -2/3 (log k))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow k 2)) 1/3))
65.392 * [backup-simplify]: Simplify (+ (* (pow k -2/3) 0) (* (* 2/3 (pow (/ 1 (pow k 2)) 1/3)) (- (log (* -2 PI)) (log n)))) into (- (* 2/3 (* (log (* -2 PI)) (pow (/ 1 (pow k 2)) 1/3))) (* 2/3 (* (log n) (pow (/ 1 (pow k 2)) 1/3))))
65.395 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) (+ (* (/ (pow (- (* 2/3 (* (log (* -2 PI)) (pow (/ 1 (pow k 2)) 1/3))) (* 2/3 (* (log n) (pow (/ 1 (pow k 2)) 1/3)))) 1) 1)))) into (* (- (* 2/3 (* (log (* -2 PI)) (pow (/ 1 (pow k 2)) 1/3))) (* 2/3 (* (log n) (pow (/ 1 (pow k 2)) 1/3)))) (exp (* (- (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))))
65.398 * [backup-simplify]: Simplify (* (- (* 2/3 (* (log (* -2 PI)) (pow (/ 1 (pow k 2)) 1/3))) (* 2/3 (* (log n) (pow (/ 1 (pow k 2)) 1/3)))) (exp (* (- (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3)))) into (* (- (* 2/3 (* (log (* -2 PI)) (pow (/ 1 (pow k 2)) 1/3))) (* 2/3 (* (log n) (pow (/ 1 (pow k 2)) 1/3)))) (exp (* (- (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))))
65.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.400 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
65.404 * [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
65.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
65.405 * [backup-simplify]: Simplify (+ 0 0) into 0
65.405 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
65.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (+ (/ 1 k) 1) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (+ (/ 1 k) 1) 2) 1)))) 2) into 0
65.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (+ (/ 1 k) 1) 2))))) into 0
65.410 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (+ (/ 1 k) 1) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
65.412 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
65.413 * [backup-simplify]: Simplify (+ (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
65.416 * [backup-simplify]: Simplify (* (exp (* (pow (pow (+ (/ 1 k) 1) 2) 1/3) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
65.416 * [taylor]: Taking taylor expansion of 0 in k
65.416 * [backup-simplify]: Simplify 0 into 0
65.416 * [backup-simplify]: Simplify 0 into 0
65.416 * [backup-simplify]: Simplify 0 into 0
65.417 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
65.420 * [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
65.422 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
65.423 * [backup-simplify]: Simplify (- 0) into 0
65.423 * [backup-simplify]: Simplify (+ 0 0) into 0
65.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.424 * [backup-simplify]: Simplify (+ 0 0) into 0
65.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1
65.427 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into -1
65.428 * [backup-simplify]: Simplify (+ (* (- 2) (log k)) 0) into (- (* 2 (log k)))
65.429 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (* 2 (log k)))))) into (- 1/3)
65.430 * [backup-simplify]: Simplify (* (exp (* -2/3 (log k))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (pow (/ 1 (pow k 2)) 1/3))
65.432 * [backup-simplify]: Simplify (+ (* (pow k -2/3) 0) (+ (* (* 2/3 (pow (/ 1 (pow k 2)) 1/3)) 0) (* (* -1/9 (pow (/ 1 (pow k 2)) 1/3)) (- (log (* -2 PI)) (log n))))) into (- (* 1/9 (* (log n) (pow (/ 1 (pow k 2)) 1/3))) (* 1/9 (* (log (* -2 PI)) (pow (/ 1 (pow k 2)) 1/3))))
65.437 * [backup-simplify]: Simplify (* (exp (* (- (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))) (+ (* (/ (pow (- (* 2/3 (* (log (* -2 PI)) (pow (/ 1 (pow k 2)) 1/3))) (* 2/3 (* (log n) (pow (/ 1 (pow k 2)) 1/3)))) 2) 2)) (* (/ (pow (- (* 1/9 (* (log n) (pow (/ 1 (pow k 2)) 1/3))) (* 1/9 (* (log (* -2 PI)) (pow (/ 1 (pow k 2)) 1/3)))) 1) 1)))) into (* (- (+ (* 2/9 (* (pow (log n) 2) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/9 (* (pow (log (* -2 PI)) 2) (pow (/ 1 (pow k 4)) 1/3))) (* 1/9 (* (log n) (pow (/ 1 (pow k 2)) 1/3))))) (+ (* 1/9 (* (log (* -2 PI)) (pow (/ 1 (pow k 2)) 1/3))) (+ (* 2/9 (* (* (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 4)) 1/3))) (* 2/9 (* (pow (/ 1 (pow k 4)) 1/3) (* (log n) (log (* -2 PI)))))))) (exp (* (- (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))))
65.444 * [backup-simplify]: Simplify (* (- (+ (* 2/9 (* (pow (log n) 2) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/9 (* (pow (log (* -2 PI)) 2) (pow (/ 1 (pow k 4)) 1/3))) (* 1/9 (* (log n) (pow (/ 1 (pow k 2)) 1/3))))) (+ (* 1/9 (* (log (* -2 PI)) (pow (/ 1 (pow k 2)) 1/3))) (+ (* 2/9 (* (* (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 4)) 1/3))) (* 2/9 (* (pow (/ 1 (pow k 4)) 1/3) (* (log n) (log (* -2 PI)))))))) (exp (* (- (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3)))) into (* (- (+ (* 2/9 (* (pow (log n) 2) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/9 (* (pow (log (* -2 PI)) 2) (pow (/ 1 (pow k 4)) 1/3))) (* 1/9 (* (log n) (pow (/ 1 (pow k 2)) 1/3))))) (+ (* 1/9 (* (log (* -2 PI)) (pow (/ 1 (pow k 2)) 1/3))) (+ (* 2/9 (* (* (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 4)) 1/3))) (* 2/9 (* (pow (/ 1 (pow k 4)) 1/3) (* (log n) (log (* -2 PI)))))))) (exp (* (- (log (* -2 PI)) (log n)) (pow (/ 1 (pow k 2)) 1/3))))
65.455 * [backup-simplify]: Simplify (+ (* (* (- (+ (* 2/9 (* (pow (log (/ 1 (- n))) 2) (pow (/ 1 (pow (/ 1 (- k)) 4)) 1/3))) (+ (* 2/9 (* (pow (log (* -2 PI)) 2) (pow (/ 1 (pow (/ 1 (- k)) 4)) 1/3))) (* 1/9 (* (log (/ 1 (- n))) (pow (/ 1 (pow (/ 1 (- k)) 2)) 1/3))))) (+ (* 1/9 (* (log (* -2 PI)) (pow (/ 1 (pow (/ 1 (- k)) 2)) 1/3))) (+ (* 2/9 (* (* (log (* -2 PI)) (log (/ 1 (- n)))) (pow (/ 1 (pow (/ 1 (- k)) 4)) 1/3))) (* 2/9 (* (pow (/ 1 (pow (/ 1 (- k)) 4)) 1/3) (* (log (/ 1 (- n))) (log (* -2 PI)))))))) (exp (* (- (log (* -2 PI)) (log (/ 1 (- n)))) (pow (/ 1 (pow (/ 1 (- k)) 2)) 1/3)))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* (- (* 2/3 (* (log (* -2 PI)) (pow (/ 1 (pow (/ 1 (- k)) 2)) 1/3))) (* 2/3 (* (log (/ 1 (- n))) (pow (/ 1 (pow (/ 1 (- k)) 2)) 1/3)))) (exp (* (- (log (* -2 PI)) (log (/ 1 (- n)))) (pow (/ 1 (pow (/ 1 (- k)) 2)) 1/3)))) (* (/ 1 (- k)) 1)) (exp (* (- (log (* -2 PI)) (log (/ 1 (- n)))) (pow (/ 1 (pow (/ 1 (- k)) 2)) 1/3))))) into (- (+ (* 1/9 (* (* (log (/ -1 n)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/9 (* (* (pow (log (/ -1 n)) 2) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 2)) 1/3))) (+ (* 2/9 (* (* (pow (log (* -2 PI)) 2) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 2)) 1/3))) (+ (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3))) (* 2/3 (* (* (log (/ -1 n)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 k) 1/3))))))) (+ (* 1/9 (* (* (log (* -2 PI)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/3 (* (pow (/ 1 k) 1/3) (* (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3))) (log (* -2 PI))))) (+ (* 2/9 (* (* (log (* -2 PI)) (* (log (/ -1 n)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3))))) (pow (/ 1 (pow k 2)) 1/3))) (* 2/9 (* (pow (/ 1 (pow k 2)) 1/3) (* (log (/ -1 n)) (* (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3))) (log (* -2 PI))))))))))
65.456 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
65.456 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
65.456 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
65.456 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
65.456 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
65.456 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
65.456 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
65.456 * [taylor]: Taking taylor expansion of 1/4 in k
65.456 * [backup-simplify]: Simplify 1/4 into 1/4
65.456 * [taylor]: Taking taylor expansion of (- 1 k) in k
65.456 * [taylor]: Taking taylor expansion of 1 in k
65.456 * [backup-simplify]: Simplify 1 into 1
65.456 * [taylor]: Taking taylor expansion of k in k
65.456 * [backup-simplify]: Simplify 0 into 0
65.456 * [backup-simplify]: Simplify 1 into 1
65.456 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
65.456 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
65.456 * [taylor]: Taking taylor expansion of 2 in k
65.456 * [backup-simplify]: Simplify 2 into 2
65.456 * [taylor]: Taking taylor expansion of (* n PI) in k
65.456 * [taylor]: Taking taylor expansion of n in k
65.456 * [backup-simplify]: Simplify n into n
65.456 * [taylor]: Taking taylor expansion of PI in k
65.456 * [backup-simplify]: Simplify PI into PI
65.456 * [backup-simplify]: Simplify (* n PI) into (* n PI)
65.456 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
65.457 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
65.457 * [backup-simplify]: Simplify (- 0) into 0
65.457 * [backup-simplify]: Simplify (+ 1 0) into 1
65.457 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
65.457 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
65.457 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
65.457 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
65.457 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
65.457 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
65.458 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
65.458 * [taylor]: Taking taylor expansion of 1/4 in n
65.458 * [backup-simplify]: Simplify 1/4 into 1/4
65.458 * [taylor]: Taking taylor expansion of (- 1 k) in n
65.458 * [taylor]: Taking taylor expansion of 1 in n
65.458 * [backup-simplify]: Simplify 1 into 1
65.458 * [taylor]: Taking taylor expansion of k in n
65.458 * [backup-simplify]: Simplify k into k
65.458 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
65.458 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
65.458 * [taylor]: Taking taylor expansion of 2 in n
65.458 * [backup-simplify]: Simplify 2 into 2
65.458 * [taylor]: Taking taylor expansion of (* n PI) in n
65.458 * [taylor]: Taking taylor expansion of n in n
65.458 * [backup-simplify]: Simplify 0 into 0
65.458 * [backup-simplify]: Simplify 1 into 1
65.458 * [taylor]: Taking taylor expansion of PI in n
65.458 * [backup-simplify]: Simplify PI into PI
65.458 * [backup-simplify]: Simplify (* 0 PI) into 0
65.458 * [backup-simplify]: Simplify (* 2 0) into 0
65.459 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
65.460 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
65.461 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
65.461 * [backup-simplify]: Simplify (- k) into (- k)
65.461 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
65.461 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
65.462 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
65.462 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
65.463 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
65.463 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
65.463 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
65.463 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
65.463 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
65.463 * [taylor]: Taking taylor expansion of 1/4 in n
65.463 * [backup-simplify]: Simplify 1/4 into 1/4
65.463 * [taylor]: Taking taylor expansion of (- 1 k) in n
65.463 * [taylor]: Taking taylor expansion of 1 in n
65.463 * [backup-simplify]: Simplify 1 into 1
65.463 * [taylor]: Taking taylor expansion of k in n
65.463 * [backup-simplify]: Simplify k into k
65.463 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
65.463 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
65.463 * [taylor]: Taking taylor expansion of 2 in n
65.463 * [backup-simplify]: Simplify 2 into 2
65.463 * [taylor]: Taking taylor expansion of (* n PI) in n
65.463 * [taylor]: Taking taylor expansion of n in n
65.463 * [backup-simplify]: Simplify 0 into 0
65.463 * [backup-simplify]: Simplify 1 into 1
65.463 * [taylor]: Taking taylor expansion of PI in n
65.463 * [backup-simplify]: Simplify PI into PI
65.463 * [backup-simplify]: Simplify (* 0 PI) into 0
65.464 * [backup-simplify]: Simplify (* 2 0) into 0
65.465 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
65.465 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
65.466 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
65.466 * [backup-simplify]: Simplify (- k) into (- k)
65.466 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
65.466 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
65.467 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
65.468 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
65.468 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
65.468 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
65.468 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
65.468 * [taylor]: Taking taylor expansion of 1/4 in k
65.468 * [backup-simplify]: Simplify 1/4 into 1/4
65.468 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
65.468 * [taylor]: Taking taylor expansion of (- 1 k) in k
65.468 * [taylor]: Taking taylor expansion of 1 in k
65.468 * [backup-simplify]: Simplify 1 into 1
65.468 * [taylor]: Taking taylor expansion of k in k
65.468 * [backup-simplify]: Simplify 0 into 0
65.468 * [backup-simplify]: Simplify 1 into 1
65.468 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
65.468 * [taylor]: Taking taylor expansion of (log n) in k
65.469 * [taylor]: Taking taylor expansion of n in k
65.469 * [backup-simplify]: Simplify n into n
65.469 * [backup-simplify]: Simplify (log n) into (log n)
65.469 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
65.469 * [taylor]: Taking taylor expansion of (* 2 PI) in k
65.469 * [taylor]: Taking taylor expansion of 2 in k
65.469 * [backup-simplify]: Simplify 2 into 2
65.469 * [taylor]: Taking taylor expansion of PI in k
65.469 * [backup-simplify]: Simplify PI into PI
65.469 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
65.469 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
65.470 * [backup-simplify]: Simplify (- 0) into 0
65.470 * [backup-simplify]: Simplify (+ 1 0) into 1
65.471 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
65.471 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
65.472 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
65.472 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
65.473 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
65.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
65.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
65.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
65.475 * [backup-simplify]: Simplify (- 0) into 0
65.476 * [backup-simplify]: Simplify (+ 0 0) into 0
65.476 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
65.477 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
65.478 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
65.479 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
65.479 * [taylor]: Taking taylor expansion of 0 in k
65.479 * [backup-simplify]: Simplify 0 into 0
65.479 * [backup-simplify]: Simplify 0 into 0
65.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
65.480 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
65.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
65.481 * [backup-simplify]: Simplify (+ 0 0) into 0
65.481 * [backup-simplify]: Simplify (- 1) into -1
65.482 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.483 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
65.484 * [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)))))
65.485 * [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)))))))
65.487 * [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)))))))
65.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
65.489 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
65.494 * [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
65.494 * [backup-simplify]: Simplify (- 0) into 0
65.495 * [backup-simplify]: Simplify (+ 0 0) into 0
65.495 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
65.496 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
65.497 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
65.498 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
65.498 * [taylor]: Taking taylor expansion of 0 in k
65.498 * [backup-simplify]: Simplify 0 into 0
65.498 * [backup-simplify]: Simplify 0 into 0
65.498 * [backup-simplify]: Simplify 0 into 0
65.499 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
65.500 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
65.501 * [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
65.502 * [backup-simplify]: Simplify (+ 0 0) into 0
65.502 * [backup-simplify]: Simplify (- 0) into 0
65.502 * [backup-simplify]: Simplify (+ 0 0) into 0
65.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
65.505 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
65.507 * [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)))))
65.510 * [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)))))
65.515 * [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)))))))
65.515 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
65.515 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
65.515 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
65.515 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
65.515 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
65.515 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
65.515 * [taylor]: Taking taylor expansion of 1/4 in k
65.515 * [backup-simplify]: Simplify 1/4 into 1/4
65.515 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
65.515 * [taylor]: Taking taylor expansion of 1 in k
65.515 * [backup-simplify]: Simplify 1 into 1
65.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.515 * [taylor]: Taking taylor expansion of k in k
65.515 * [backup-simplify]: Simplify 0 into 0
65.515 * [backup-simplify]: Simplify 1 into 1
65.516 * [backup-simplify]: Simplify (/ 1 1) into 1
65.516 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
65.516 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
65.516 * [taylor]: Taking taylor expansion of 2 in k
65.516 * [backup-simplify]: Simplify 2 into 2
65.516 * [taylor]: Taking taylor expansion of (/ PI n) in k
65.516 * [taylor]: Taking taylor expansion of PI in k
65.516 * [backup-simplify]: Simplify PI into PI
65.516 * [taylor]: Taking taylor expansion of n in k
65.516 * [backup-simplify]: Simplify n into n
65.516 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
65.516 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
65.516 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
65.516 * [backup-simplify]: Simplify (- 1) into -1
65.516 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.517 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
65.517 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
65.517 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
65.517 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
65.517 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
65.517 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
65.517 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
65.517 * [taylor]: Taking taylor expansion of 1/4 in n
65.517 * [backup-simplify]: Simplify 1/4 into 1/4
65.517 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
65.517 * [taylor]: Taking taylor expansion of 1 in n
65.517 * [backup-simplify]: Simplify 1 into 1
65.517 * [taylor]: Taking taylor expansion of (/ 1 k) in n
65.517 * [taylor]: Taking taylor expansion of k in n
65.517 * [backup-simplify]: Simplify k into k
65.517 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
65.517 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
65.517 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
65.517 * [taylor]: Taking taylor expansion of 2 in n
65.517 * [backup-simplify]: Simplify 2 into 2
65.517 * [taylor]: Taking taylor expansion of (/ PI n) in n
65.517 * [taylor]: Taking taylor expansion of PI in n
65.517 * [backup-simplify]: Simplify PI into PI
65.517 * [taylor]: Taking taylor expansion of n in n
65.517 * [backup-simplify]: Simplify 0 into 0
65.517 * [backup-simplify]: Simplify 1 into 1
65.518 * [backup-simplify]: Simplify (/ PI 1) into PI
65.518 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
65.518 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
65.518 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
65.518 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
65.519 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
65.519 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
65.520 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
65.521 * [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)))))
65.521 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
65.521 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
65.521 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
65.521 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
65.521 * [taylor]: Taking taylor expansion of 1/4 in n
65.521 * [backup-simplify]: Simplify 1/4 into 1/4
65.521 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
65.521 * [taylor]: Taking taylor expansion of 1 in n
65.521 * [backup-simplify]: Simplify 1 into 1
65.521 * [taylor]: Taking taylor expansion of (/ 1 k) in n
65.521 * [taylor]: Taking taylor expansion of k in n
65.521 * [backup-simplify]: Simplify k into k
65.521 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
65.521 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
65.521 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
65.521 * [taylor]: Taking taylor expansion of 2 in n
65.521 * [backup-simplify]: Simplify 2 into 2
65.521 * [taylor]: Taking taylor expansion of (/ PI n) in n
65.521 * [taylor]: Taking taylor expansion of PI in n
65.521 * [backup-simplify]: Simplify PI into PI
65.521 * [taylor]: Taking taylor expansion of n in n
65.521 * [backup-simplify]: Simplify 0 into 0
65.521 * [backup-simplify]: Simplify 1 into 1
65.521 * [backup-simplify]: Simplify (/ PI 1) into PI
65.522 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
65.522 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
65.522 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
65.522 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
65.522 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
65.523 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
65.524 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
65.524 * [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)))))
65.524 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
65.525 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
65.525 * [taylor]: Taking taylor expansion of 1/4 in k
65.525 * [backup-simplify]: Simplify 1/4 into 1/4
65.525 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
65.525 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
65.525 * [taylor]: Taking taylor expansion of 1 in k
65.525 * [backup-simplify]: Simplify 1 into 1
65.525 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.525 * [taylor]: Taking taylor expansion of k in k
65.525 * [backup-simplify]: Simplify 0 into 0
65.525 * [backup-simplify]: Simplify 1 into 1
65.525 * [backup-simplify]: Simplify (/ 1 1) into 1
65.525 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
65.525 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
65.525 * [taylor]: Taking taylor expansion of (* 2 PI) in k
65.525 * [taylor]: Taking taylor expansion of 2 in k
65.525 * [backup-simplify]: Simplify 2 into 2
65.525 * [taylor]: Taking taylor expansion of PI in k
65.525 * [backup-simplify]: Simplify PI into PI
65.525 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
65.526 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
65.526 * [taylor]: Taking taylor expansion of (log n) in k
65.526 * [taylor]: Taking taylor expansion of n in k
65.526 * [backup-simplify]: Simplify n into n
65.526 * [backup-simplify]: Simplify (log n) into (log n)
65.526 * [backup-simplify]: Simplify (- 1) into -1
65.526 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.526 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
65.527 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
65.528 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
65.528 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
65.529 * [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)))))
65.530 * [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)))))
65.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
65.531 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
65.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
65.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
65.532 * [backup-simplify]: Simplify (- 0) into 0
65.532 * [backup-simplify]: Simplify (+ 0 0) into 0
65.533 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
65.533 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
65.534 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
65.535 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
65.535 * [taylor]: Taking taylor expansion of 0 in k
65.535 * [backup-simplify]: Simplify 0 into 0
65.535 * [backup-simplify]: Simplify 0 into 0
65.535 * [backup-simplify]: Simplify 0 into 0
65.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.536 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
65.538 * [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
65.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
65.538 * [backup-simplify]: Simplify (- 0) into 0
65.539 * [backup-simplify]: Simplify (+ 0 0) into 0
65.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
65.540 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
65.541 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
65.542 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
65.542 * [taylor]: Taking taylor expansion of 0 in k
65.542 * [backup-simplify]: Simplify 0 into 0
65.542 * [backup-simplify]: Simplify 0 into 0
65.542 * [backup-simplify]: Simplify 0 into 0
65.542 * [backup-simplify]: Simplify 0 into 0
65.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.543 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
65.546 * [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
65.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
65.547 * [backup-simplify]: Simplify (- 0) into 0
65.547 * [backup-simplify]: Simplify (+ 0 0) into 0
65.548 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
65.548 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
65.550 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
65.551 * [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
65.551 * [taylor]: Taking taylor expansion of 0 in k
65.551 * [backup-simplify]: Simplify 0 into 0
65.551 * [backup-simplify]: Simplify 0 into 0
65.552 * [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))))))
65.552 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
65.552 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
65.552 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
65.552 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
65.552 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
65.552 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
65.552 * [taylor]: Taking taylor expansion of 1/4 in k
65.552 * [backup-simplify]: Simplify 1/4 into 1/4
65.552 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
65.552 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.552 * [taylor]: Taking taylor expansion of k in k
65.552 * [backup-simplify]: Simplify 0 into 0
65.552 * [backup-simplify]: Simplify 1 into 1
65.553 * [backup-simplify]: Simplify (/ 1 1) into 1
65.553 * [taylor]: Taking taylor expansion of 1 in k
65.553 * [backup-simplify]: Simplify 1 into 1
65.553 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
65.553 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
65.553 * [taylor]: Taking taylor expansion of -2 in k
65.553 * [backup-simplify]: Simplify -2 into -2
65.553 * [taylor]: Taking taylor expansion of (/ PI n) in k
65.553 * [taylor]: Taking taylor expansion of PI in k
65.553 * [backup-simplify]: Simplify PI into PI
65.553 * [taylor]: Taking taylor expansion of n in k
65.553 * [backup-simplify]: Simplify n into n
65.553 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
65.553 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
65.553 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
65.553 * [backup-simplify]: Simplify (+ 1 0) into 1
65.553 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
65.554 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
65.554 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
65.554 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
65.554 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
65.554 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
65.554 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
65.554 * [taylor]: Taking taylor expansion of 1/4 in n
65.554 * [backup-simplify]: Simplify 1/4 into 1/4
65.554 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
65.554 * [taylor]: Taking taylor expansion of (/ 1 k) in n
65.554 * [taylor]: Taking taylor expansion of k in n
65.554 * [backup-simplify]: Simplify k into k
65.554 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
65.554 * [taylor]: Taking taylor expansion of 1 in n
65.554 * [backup-simplify]: Simplify 1 into 1
65.554 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
65.554 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
65.554 * [taylor]: Taking taylor expansion of -2 in n
65.554 * [backup-simplify]: Simplify -2 into -2
65.554 * [taylor]: Taking taylor expansion of (/ PI n) in n
65.554 * [taylor]: Taking taylor expansion of PI in n
65.554 * [backup-simplify]: Simplify PI into PI
65.554 * [taylor]: Taking taylor expansion of n in n
65.554 * [backup-simplify]: Simplify 0 into 0
65.554 * [backup-simplify]: Simplify 1 into 1
65.554 * [backup-simplify]: Simplify (/ PI 1) into PI
65.555 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
65.555 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
65.555 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
65.555 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
65.556 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
65.557 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
65.557 * [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)))))
65.557 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
65.557 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
65.557 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
65.557 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
65.557 * [taylor]: Taking taylor expansion of 1/4 in n
65.557 * [backup-simplify]: Simplify 1/4 into 1/4
65.557 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
65.558 * [taylor]: Taking taylor expansion of (/ 1 k) in n
65.558 * [taylor]: Taking taylor expansion of k in n
65.558 * [backup-simplify]: Simplify k into k
65.558 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
65.558 * [taylor]: Taking taylor expansion of 1 in n
65.558 * [backup-simplify]: Simplify 1 into 1
65.558 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
65.558 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
65.558 * [taylor]: Taking taylor expansion of -2 in n
65.558 * [backup-simplify]: Simplify -2 into -2
65.558 * [taylor]: Taking taylor expansion of (/ PI n) in n
65.558 * [taylor]: Taking taylor expansion of PI in n
65.558 * [backup-simplify]: Simplify PI into PI
65.558 * [taylor]: Taking taylor expansion of n in n
65.558 * [backup-simplify]: Simplify 0 into 0
65.558 * [backup-simplify]: Simplify 1 into 1
65.558 * [backup-simplify]: Simplify (/ PI 1) into PI
65.558 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
65.559 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
65.559 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
65.559 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
65.560 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
65.561 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
65.561 * [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)))))
65.561 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
65.561 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
65.561 * [taylor]: Taking taylor expansion of 1/4 in k
65.562 * [backup-simplify]: Simplify 1/4 into 1/4
65.562 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
65.562 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
65.562 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.562 * [taylor]: Taking taylor expansion of k in k
65.562 * [backup-simplify]: Simplify 0 into 0
65.562 * [backup-simplify]: Simplify 1 into 1
65.562 * [backup-simplify]: Simplify (/ 1 1) into 1
65.562 * [taylor]: Taking taylor expansion of 1 in k
65.562 * [backup-simplify]: Simplify 1 into 1
65.562 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
65.562 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
65.562 * [taylor]: Taking taylor expansion of (* -2 PI) in k
65.562 * [taylor]: Taking taylor expansion of -2 in k
65.562 * [backup-simplify]: Simplify -2 into -2
65.562 * [taylor]: Taking taylor expansion of PI in k
65.562 * [backup-simplify]: Simplify PI into PI
65.562 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
65.563 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
65.563 * [taylor]: Taking taylor expansion of (log n) in k
65.563 * [taylor]: Taking taylor expansion of n in k
65.563 * [backup-simplify]: Simplify n into n
65.563 * [backup-simplify]: Simplify (log n) into (log n)
65.563 * [backup-simplify]: Simplify (+ 1 0) into 1
65.563 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
65.564 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
65.564 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
65.565 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
65.566 * [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)))))
65.566 * [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)))))
65.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
65.567 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
65.568 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
65.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
65.568 * [backup-simplify]: Simplify (+ 0 0) into 0
65.569 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
65.570 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
65.570 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
65.571 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
65.571 * [taylor]: Taking taylor expansion of 0 in k
65.571 * [backup-simplify]: Simplify 0 into 0
65.571 * [backup-simplify]: Simplify 0 into 0
65.571 * [backup-simplify]: Simplify 0 into 0
65.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.572 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
65.578 * [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
65.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
65.578 * [backup-simplify]: Simplify (+ 0 0) into 0
65.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
65.580 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
65.581 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
65.582 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
65.582 * [taylor]: Taking taylor expansion of 0 in k
65.582 * [backup-simplify]: Simplify 0 into 0
65.582 * [backup-simplify]: Simplify 0 into 0
65.582 * [backup-simplify]: Simplify 0 into 0
65.582 * [backup-simplify]: Simplify 0 into 0
65.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.583 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
65.586 * [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
65.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
65.587 * [backup-simplify]: Simplify (+ 0 0) into 0
65.588 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
65.589 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
65.590 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
65.592 * [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
65.592 * [taylor]: Taking taylor expansion of 0 in k
65.592 * [backup-simplify]: Simplify 0 into 0
65.592 * [backup-simplify]: Simplify 0 into 0
65.592 * [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))))))
65.592 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1)
65.592 * [backup-simplify]: Simplify (cbrt (- 1 k)) into (pow (- 1 k) 1/3)
65.592 * [approximate]: Taking taylor expansion of (pow (- 1 k) 1/3) in (k) around 0
65.592 * [taylor]: Taking taylor expansion of (pow (- 1 k) 1/3) in k
65.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 k)))) in k
65.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 k))) in k
65.593 * [taylor]: Taking taylor expansion of 1/3 in k
65.593 * [backup-simplify]: Simplify 1/3 into 1/3
65.593 * [taylor]: Taking taylor expansion of (log (- 1 k)) in k
65.593 * [taylor]: Taking taylor expansion of (- 1 k) in k
65.593 * [taylor]: Taking taylor expansion of 1 in k
65.593 * [backup-simplify]: Simplify 1 into 1
65.593 * [taylor]: Taking taylor expansion of k in k
65.593 * [backup-simplify]: Simplify 0 into 0
65.593 * [backup-simplify]: Simplify 1 into 1
65.593 * [backup-simplify]: Simplify (- 0) into 0
65.593 * [backup-simplify]: Simplify (+ 1 0) into 1
65.593 * [backup-simplify]: Simplify (log 1) into 0
65.594 * [backup-simplify]: Simplify (* 1/3 0) into 0
65.594 * [backup-simplify]: Simplify (- 1) into -1
65.594 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
65.595 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3
65.595 * [backup-simplify]: Simplify (exp 0) into 1
65.595 * [taylor]: Taking taylor expansion of (pow (- 1 k) 1/3) in k
65.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 k)))) in k
65.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 k))) in k
65.595 * [taylor]: Taking taylor expansion of 1/3 in k
65.595 * [backup-simplify]: Simplify 1/3 into 1/3
65.595 * [taylor]: Taking taylor expansion of (log (- 1 k)) in k
65.595 * [taylor]: Taking taylor expansion of (- 1 k) in k
65.595 * [taylor]: Taking taylor expansion of 1 in k
65.595 * [backup-simplify]: Simplify 1 into 1
65.595 * [taylor]: Taking taylor expansion of k in k
65.595 * [backup-simplify]: Simplify 0 into 0
65.595 * [backup-simplify]: Simplify 1 into 1
65.596 * [backup-simplify]: Simplify (- 0) into 0
65.596 * [backup-simplify]: Simplify (+ 1 0) into 1
65.596 * [backup-simplify]: Simplify (log 1) into 0
65.596 * [backup-simplify]: Simplify (* 1/3 0) into 0
65.597 * [backup-simplify]: Simplify (- 1) into -1
65.597 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
65.598 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3
65.598 * [backup-simplify]: Simplify (exp 0) into 1
65.598 * [backup-simplify]: Simplify 1 into 1
65.599 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3
65.599 * [backup-simplify]: Simplify -1/3 into -1/3
65.599 * [backup-simplify]: Simplify (- 0) into 0
65.599 * [backup-simplify]: Simplify (+ 0 0) into 0
65.601 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
65.601 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6
65.602 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
65.602 * [backup-simplify]: Simplify -1/9 into -1/9
65.603 * [backup-simplify]: Simplify (+ (* -1/9 (pow k 2)) (+ (* -1/3 k) 1)) into (- 1 (+ (* 1/9 (pow k 2)) (* 1/3 k)))
65.603 * [backup-simplify]: Simplify (cbrt (- 1 (/ 1 k))) into (pow (- 1 (/ 1 k)) 1/3)
65.603 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 1/3) in (k) around 0
65.603 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 1/3) in k
65.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 k))))) in k
65.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 k)))) in k
65.603 * [taylor]: Taking taylor expansion of 1/3 in k
65.603 * [backup-simplify]: Simplify 1/3 into 1/3
65.603 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 k))) in k
65.603 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
65.603 * [taylor]: Taking taylor expansion of 1 in k
65.603 * [backup-simplify]: Simplify 1 into 1
65.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.603 * [taylor]: Taking taylor expansion of k in k
65.603 * [backup-simplify]: Simplify 0 into 0
65.603 * [backup-simplify]: Simplify 1 into 1
65.603 * [backup-simplify]: Simplify (/ 1 1) into 1
65.603 * [backup-simplify]: Simplify (- 1) into -1
65.604 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.604 * [backup-simplify]: Simplify (log -1) into (log -1)
65.604 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
65.605 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log k))) into (* 1/3 (- (log -1) (log k)))
65.605 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log k)))) into (exp (* 1/3 (- (log -1) (log k))))
65.605 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 1/3) in k
65.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 k))))) in k
65.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 k)))) in k
65.605 * [taylor]: Taking taylor expansion of 1/3 in k
65.605 * [backup-simplify]: Simplify 1/3 into 1/3
65.605 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 k))) in k
65.605 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
65.605 * [taylor]: Taking taylor expansion of 1 in k
65.605 * [backup-simplify]: Simplify 1 into 1
65.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.605 * [taylor]: Taking taylor expansion of k in k
65.605 * [backup-simplify]: Simplify 0 into 0
65.605 * [backup-simplify]: Simplify 1 into 1
65.605 * [backup-simplify]: Simplify (/ 1 1) into 1
65.606 * [backup-simplify]: Simplify (- 1) into -1
65.606 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.606 * [backup-simplify]: Simplify (log -1) into (log -1)
65.606 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
65.607 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log k))) into (* 1/3 (- (log -1) (log k)))
65.607 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log k)))) into (exp (* 1/3 (- (log -1) (log k))))
65.607 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log k)))) into (exp (* 1/3 (- (log -1) (log k))))
65.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.608 * [backup-simplify]: Simplify (- 0) into 0
65.608 * [backup-simplify]: Simplify (+ 1 0) into 1
65.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
65.610 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
65.610 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log k)))) into (- 1/3)
65.611 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log k)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log k)))))
65.611 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log k))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log k)))))
65.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.612 * [backup-simplify]: Simplify (- 0) into 0
65.612 * [backup-simplify]: Simplify (+ 0 0) into 0
65.614 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
65.614 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
65.615 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log k))))) into (- 1/6)
65.616 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log k)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log k)))))
65.617 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log k))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log k)))))
65.618 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 k)))))) (pow (/ 1 k) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 k)))))) (/ 1 k)) (exp (* 1/3 (- (log -1) (log (/ 1 k))))))) into (- (exp (* 1/3 (- (log -1) (log (/ 1 k))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ 1 k))))) (pow k 2))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ 1 k))))) k))))
65.618 * [backup-simplify]: Simplify (cbrt (- 1 (/ 1 (- k)))) into (pow (+ (/ 1 k) 1) 1/3)
65.618 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 1/3) in (k) around 0
65.618 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 1/3) in k
65.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 k) 1)))) in k
65.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 k) 1))) in k
65.618 * [taylor]: Taking taylor expansion of 1/3 in k
65.618 * [backup-simplify]: Simplify 1/3 into 1/3
65.618 * [taylor]: Taking taylor expansion of (log (+ (/ 1 k) 1)) in k
65.618 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
65.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.618 * [taylor]: Taking taylor expansion of k in k
65.618 * [backup-simplify]: Simplify 0 into 0
65.618 * [backup-simplify]: Simplify 1 into 1
65.618 * [backup-simplify]: Simplify (/ 1 1) into 1
65.618 * [taylor]: Taking taylor expansion of 1 in k
65.618 * [backup-simplify]: Simplify 1 into 1
65.618 * [backup-simplify]: Simplify (+ 1 0) into 1
65.619 * [backup-simplify]: Simplify (log 1) into 0
65.619 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
65.619 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k))
65.619 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3)
65.619 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 1/3) in k
65.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 k) 1)))) in k
65.619 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 k) 1))) in k
65.619 * [taylor]: Taking taylor expansion of 1/3 in k
65.619 * [backup-simplify]: Simplify 1/3 into 1/3
65.619 * [taylor]: Taking taylor expansion of (log (+ (/ 1 k) 1)) in k
65.619 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
65.619 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.619 * [taylor]: Taking taylor expansion of k in k
65.619 * [backup-simplify]: Simplify 0 into 0
65.619 * [backup-simplify]: Simplify 1 into 1
65.619 * [backup-simplify]: Simplify (/ 1 1) into 1
65.619 * [taylor]: Taking taylor expansion of 1 in k
65.619 * [backup-simplify]: Simplify 1 into 1
65.620 * [backup-simplify]: Simplify (+ 1 0) into 1
65.620 * [backup-simplify]: Simplify (log 1) into 0
65.620 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
65.620 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k))
65.620 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3)
65.620 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3)
65.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.621 * [backup-simplify]: Simplify (+ 0 1) into 1
65.622 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
65.622 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
65.622 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log k)))) into 1/3
65.623 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 k) 1/3))
65.623 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 k) 1/3)) into (* 1/3 (pow (/ 1 k) 1/3))
65.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.624 * [backup-simplify]: Simplify (+ 0 0) into 0
65.625 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
65.626 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
65.626 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log k))))) into (- 1/6)
65.627 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 k) 1/3))
65.627 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 k) 1/3)) into (* -1/9 (pow (/ 1 k) 1/3))
65.627 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 (- k))) 1/3)) (pow (/ 1 (- k)) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 (- k))) 1/3)) (/ 1 (- k))) (pow (/ 1 (- k)) -1/3))) into (- (pow (/ -1 k) -1/3) (+ (* 1/9 (pow (/ -1 (pow k 5)) 1/3)) (* 1/3 (pow (/ -1 (pow k 2)) 1/3))))
65.627 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1 2)
65.628 * [backup-simplify]: Simplify (cbrt (- 1 k)) into (pow (- 1 k) 1/3)
65.628 * [approximate]: Taking taylor expansion of (pow (- 1 k) 1/3) in (k) around 0
65.628 * [taylor]: Taking taylor expansion of (pow (- 1 k) 1/3) in k
65.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 k)))) in k
65.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 k))) in k
65.628 * [taylor]: Taking taylor expansion of 1/3 in k
65.628 * [backup-simplify]: Simplify 1/3 into 1/3
65.628 * [taylor]: Taking taylor expansion of (log (- 1 k)) in k
65.628 * [taylor]: Taking taylor expansion of (- 1 k) in k
65.628 * [taylor]: Taking taylor expansion of 1 in k
65.628 * [backup-simplify]: Simplify 1 into 1
65.628 * [taylor]: Taking taylor expansion of k in k
65.628 * [backup-simplify]: Simplify 0 into 0
65.628 * [backup-simplify]: Simplify 1 into 1
65.628 * [backup-simplify]: Simplify (- 0) into 0
65.628 * [backup-simplify]: Simplify (+ 1 0) into 1
65.628 * [backup-simplify]: Simplify (log 1) into 0
65.629 * [backup-simplify]: Simplify (* 1/3 0) into 0
65.629 * [backup-simplify]: Simplify (- 1) into -1
65.629 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
65.630 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3
65.630 * [backup-simplify]: Simplify (exp 0) into 1
65.630 * [taylor]: Taking taylor expansion of (pow (- 1 k) 1/3) in k
65.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 k)))) in k
65.630 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 k))) in k
65.630 * [taylor]: Taking taylor expansion of 1/3 in k
65.630 * [backup-simplify]: Simplify 1/3 into 1/3
65.630 * [taylor]: Taking taylor expansion of (log (- 1 k)) in k
65.631 * [taylor]: Taking taylor expansion of (- 1 k) in k
65.631 * [taylor]: Taking taylor expansion of 1 in k
65.631 * [backup-simplify]: Simplify 1 into 1
65.631 * [taylor]: Taking taylor expansion of k in k
65.631 * [backup-simplify]: Simplify 0 into 0
65.631 * [backup-simplify]: Simplify 1 into 1
65.631 * [backup-simplify]: Simplify (- 0) into 0
65.631 * [backup-simplify]: Simplify (+ 1 0) into 1
65.631 * [backup-simplify]: Simplify (log 1) into 0
65.632 * [backup-simplify]: Simplify (* 1/3 0) into 0
65.632 * [backup-simplify]: Simplify (- 1) into -1
65.632 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.633 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1
65.633 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3
65.633 * [backup-simplify]: Simplify (exp 0) into 1
65.633 * [backup-simplify]: Simplify 1 into 1
65.634 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3
65.634 * [backup-simplify]: Simplify -1/3 into -1/3
65.634 * [backup-simplify]: Simplify (- 0) into 0
65.634 * [backup-simplify]: Simplify (+ 0 0) into 0
65.636 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
65.637 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6
65.638 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9
65.639 * [backup-simplify]: Simplify -1/9 into -1/9
65.639 * [backup-simplify]: Simplify (+ (* -1/9 (pow k 2)) (+ (* -1/3 k) 1)) into (- 1 (+ (* 1/9 (pow k 2)) (* 1/3 k)))
65.639 * [backup-simplify]: Simplify (cbrt (- 1 (/ 1 k))) into (pow (- 1 (/ 1 k)) 1/3)
65.639 * [approximate]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 1/3) in (k) around 0
65.639 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 1/3) in k
65.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 k))))) in k
65.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 k)))) in k
65.639 * [taylor]: Taking taylor expansion of 1/3 in k
65.639 * [backup-simplify]: Simplify 1/3 into 1/3
65.639 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 k))) in k
65.639 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
65.639 * [taylor]: Taking taylor expansion of 1 in k
65.639 * [backup-simplify]: Simplify 1 into 1
65.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.639 * [taylor]: Taking taylor expansion of k in k
65.639 * [backup-simplify]: Simplify 0 into 0
65.639 * [backup-simplify]: Simplify 1 into 1
65.640 * [backup-simplify]: Simplify (/ 1 1) into 1
65.640 * [backup-simplify]: Simplify (- 1) into -1
65.641 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.641 * [backup-simplify]: Simplify (log -1) into (log -1)
65.642 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
65.642 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log k))) into (* 1/3 (- (log -1) (log k)))
65.643 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log k)))) into (exp (* 1/3 (- (log -1) (log k))))
65.643 * [taylor]: Taking taylor expansion of (pow (- 1 (/ 1 k)) 1/3) in k
65.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 k))))) in k
65.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 k)))) in k
65.643 * [taylor]: Taking taylor expansion of 1/3 in k
65.643 * [backup-simplify]: Simplify 1/3 into 1/3
65.643 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 k))) in k
65.643 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
65.643 * [taylor]: Taking taylor expansion of 1 in k
65.643 * [backup-simplify]: Simplify 1 into 1
65.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.643 * [taylor]: Taking taylor expansion of k in k
65.643 * [backup-simplify]: Simplify 0 into 0
65.643 * [backup-simplify]: Simplify 1 into 1
65.644 * [backup-simplify]: Simplify (/ 1 1) into 1
65.644 * [backup-simplify]: Simplify (- 1) into -1
65.644 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.645 * [backup-simplify]: Simplify (log -1) into (log -1)
65.646 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
65.646 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log k))) into (* 1/3 (- (log -1) (log k)))
65.647 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log k)))) into (exp (* 1/3 (- (log -1) (log k))))
65.647 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log k)))) into (exp (* 1/3 (- (log -1) (log k))))
65.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.648 * [backup-simplify]: Simplify (- 0) into 0
65.649 * [backup-simplify]: Simplify (+ 1 0) into 1
65.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1
65.651 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
65.652 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log k)))) into (- 1/3)
65.653 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log k)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log k)))))
65.654 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log k))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log k)))))
65.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.655 * [backup-simplify]: Simplify (- 0) into 0
65.655 * [backup-simplify]: Simplify (+ 0 0) into 0
65.658 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2
65.659 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) (log -1)) into (- (log -1) (log k))
65.661 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log k))))) into (- 1/6)
65.663 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log k)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log k)))))
65.663 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log k))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log k)))))
65.665 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 k)))))) (pow (/ 1 k) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 k)))))) (/ 1 k)) (exp (* 1/3 (- (log -1) (log (/ 1 k))))))) into (- (exp (* 1/3 (- (log -1) (log (/ 1 k))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ 1 k))))) (pow k 2))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ 1 k))))) k))))
65.665 * [backup-simplify]: Simplify (cbrt (- 1 (/ 1 (- k)))) into (pow (+ (/ 1 k) 1) 1/3)
65.665 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 1/3) in (k) around 0
65.665 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 1/3) in k
65.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 k) 1)))) in k
65.665 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 k) 1))) in k
65.665 * [taylor]: Taking taylor expansion of 1/3 in k
65.665 * [backup-simplify]: Simplify 1/3 into 1/3
65.666 * [taylor]: Taking taylor expansion of (log (+ (/ 1 k) 1)) in k
65.666 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
65.666 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.666 * [taylor]: Taking taylor expansion of k in k
65.666 * [backup-simplify]: Simplify 0 into 0
65.666 * [backup-simplify]: Simplify 1 into 1
65.666 * [backup-simplify]: Simplify (/ 1 1) into 1
65.666 * [taylor]: Taking taylor expansion of 1 in k
65.666 * [backup-simplify]: Simplify 1 into 1
65.667 * [backup-simplify]: Simplify (+ 1 0) into 1
65.667 * [backup-simplify]: Simplify (log 1) into 0
65.667 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
65.667 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k))
65.667 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3)
65.668 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 k) 1) 1/3) in k
65.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 k) 1)))) in k
65.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 k) 1))) in k
65.668 * [taylor]: Taking taylor expansion of 1/3 in k
65.668 * [backup-simplify]: Simplify 1/3 into 1/3
65.668 * [taylor]: Taking taylor expansion of (log (+ (/ 1 k) 1)) in k
65.668 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
65.668 * [taylor]: Taking taylor expansion of (/ 1 k) in k
65.668 * [taylor]: Taking taylor expansion of k in k
65.668 * [backup-simplify]: Simplify 0 into 0
65.668 * [backup-simplify]: Simplify 1 into 1
65.668 * [backup-simplify]: Simplify (/ 1 1) into 1
65.668 * [taylor]: Taking taylor expansion of 1 in k
65.668 * [backup-simplify]: Simplify 1 into 1
65.669 * [backup-simplify]: Simplify (+ 1 0) into 1
65.669 * [backup-simplify]: Simplify (log 1) into 0
65.669 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
65.669 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k))
65.669 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3)
65.669 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3)
65.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.670 * [backup-simplify]: Simplify (+ 0 1) into 1
65.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1
65.671 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
65.671 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (log k)))) into 1/3
65.672 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 k) 1/3))
65.672 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 k) 1/3)) into (* 1/3 (pow (/ 1 k) 1/3))
65.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.673 * [backup-simplify]: Simplify (+ 0 0) into 0
65.677 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2
65.678 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
65.679 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log k))))) into (- 1/6)
65.679 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 k) 1/3))
65.680 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 k) 1/3)) into (* -1/9 (pow (/ 1 k) 1/3))
65.680 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 (- k))) 1/3)) (pow (/ 1 (- k)) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 (- k))) 1/3)) (/ 1 (- k))) (pow (/ 1 (- k)) -1/3))) into (- (pow (/ -1 k) -1/3) (+ (* 1/9 (pow (/ -1 (pow k 5)) 1/3)) (* 1/3 (pow (/ -1 (pow k 2)) 1/3))))
65.680 * * * [progress]: simplifying candidates
65.680 * * * * [progress]: [ 1 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
65.680 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
65.680 * * [simplify]: iters left: 6 (16 enodes)
65.684 * * [simplify]: iters left: 5 (55 enodes)
65.693 * * [simplify]: iters left: 4 (97 enodes)
65.717 * * [simplify]: iters left: 3 (215 enodes)
65.794 * * [simplify]: iters left: 2 (429 enodes)
65.994 * * [simplify]: Extracting #0: cost 1 inf + 0
65.994 * * [simplify]: Extracting #1: cost 17 inf + 0
65.995 * * [simplify]: Extracting #2: cost 77 inf + 1
65.995 * * [simplify]: Extracting #3: cost 103 inf + 1
65.996 * * [simplify]: Extracting #4: cost 85 inf + 2214
66.000 * * [simplify]: Extracting #5: cost 40 inf + 13598
66.009 * * [simplify]: Extracting #6: cost 3 inf + 24790
66.020 * * [simplify]: Extracting #7: cost 0 inf + 25901
66.030 * [simplify]: Simplified to (* (cbrt (- 1 k)) (* (cbrt (- 1 k)) (+ (log n) (+ (log 2) (log PI)))))
66.030 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (* (cbrt (- 1 k)) (* (cbrt (- 1 k)) (+ (log n) (+ (log 2) (log PI)))))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.030 * * * * [progress]: [ 2 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.030 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
66.031 * * [simplify]: iters left: 6 (15 enodes)
66.038 * * [simplify]: iters left: 5 (54 enodes)
66.055 * * [simplify]: iters left: 4 (93 enodes)
66.085 * * [simplify]: iters left: 3 (180 enodes)
66.173 * * [simplify]: iters left: 2 (364 enodes)
66.272 * * [simplify]: iters left: 1 (478 enodes)
66.397 * * [simplify]: Extracting #0: cost 1 inf + 0
66.397 * * [simplify]: Extracting #1: cost 17 inf + 0
66.398 * * [simplify]: Extracting #2: cost 55 inf + 1
66.398 * * [simplify]: Extracting #3: cost 86 inf + 1
66.399 * * [simplify]: Extracting #4: cost 78 inf + 484
66.400 * * [simplify]: Extracting #5: cost 60 inf + 2609
66.405 * * [simplify]: Extracting #6: cost 18 inf + 13435
66.413 * * [simplify]: Extracting #7: cost 1 inf + 18896
66.422 * * [simplify]: Extracting #8: cost 0 inf + 19169
66.434 * [simplify]: Simplified to (* (* (cbrt (- 1 k)) (cbrt (- 1 k))) (+ (log n) (log (* 2 PI))))
66.434 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (* (* (cbrt (- 1 k)) (cbrt (- 1 k))) (+ (log n) (log (* 2 PI))))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.435 * * * * [progress]: [ 3 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (* (log (* n (* 2 PI))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.435 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
66.435 * * [simplify]: iters left: 6 (14 enodes)
66.443 * * [simplify]: iters left: 5 (52 enodes)
66.459 * * [simplify]: iters left: 4 (97 enodes)
66.486 * * [simplify]: iters left: 3 (182 enodes)
66.537 * * [simplify]: iters left: 2 (349 enodes)
66.650 * * [simplify]: Extracting #0: cost 1 inf + 0
66.650 * * [simplify]: Extracting #1: cost 24 inf + 0
66.650 * * [simplify]: Extracting #2: cost 77 inf + 1
66.651 * * [simplify]: Extracting #3: cost 104 inf + 1
66.651 * * [simplify]: Extracting #4: cost 93 inf + 907
66.653 * * [simplify]: Extracting #5: cost 42 inf + 10890
66.656 * * [simplify]: Extracting #6: cost 0 inf + 21160
66.662 * [simplify]: Simplified to (* (cbrt (- 1 k)) (* (cbrt (- 1 k)) (log (* (* PI 2) n))))
66.662 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (* (cbrt (- 1 k)) (* (cbrt (- 1 k)) (log (* (* PI 2) n))))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.662 * * * * [progress]: [ 4 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (* (log (* n (* 2 PI))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.662 * * * * [progress]: [ 5 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (* 1 (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.663 * [simplify]: Simplifying (* n (* 2 PI))
66.663 * * [simplify]: iters left: 4 (5 enodes)
66.666 * * [simplify]: iters left: 3 (19 enodes)
66.672 * * [simplify]: iters left: 2 (27 enodes)
66.678 * * [simplify]: iters left: 1 (32 enodes)
66.682 * * [simplify]: Extracting #0: cost 1 inf + 0
66.682 * * [simplify]: Extracting #1: cost 8 inf + 0
66.682 * * [simplify]: Extracting #2: cost 7 inf + 45
66.682 * * [simplify]: Extracting #3: cost 0 inf + 421
66.683 * [simplify]: Simplified to (* (* PI 2) n)
66.683 * [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 (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.683 * * * * [progress]: [ 6 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (* 1 (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.683 * [simplify]: Simplifying (* n (* 2 PI))
66.683 * * [simplify]: iters left: 4 (5 enodes)
66.684 * * [simplify]: iters left: 3 (19 enodes)
66.687 * * [simplify]: iters left: 2 (27 enodes)
66.691 * * [simplify]: iters left: 1 (32 enodes)
66.695 * * [simplify]: Extracting #0: cost 1 inf + 0
66.695 * * [simplify]: Extracting #1: cost 8 inf + 0
66.695 * * [simplify]: Extracting #2: cost 7 inf + 45
66.695 * * [simplify]: Extracting #3: cost 0 inf + 421
66.695 * [simplify]: Simplified to (* (* PI 2) n)
66.695 * [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 (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.696 * * * * [progress]: [ 7 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (* 1 (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.696 * [simplify]: Simplifying (* n (* 2 PI))
66.696 * * [simplify]: iters left: 4 (5 enodes)
66.697 * * [simplify]: iters left: 3 (19 enodes)
66.700 * * [simplify]: iters left: 2 (27 enodes)
66.704 * * [simplify]: iters left: 1 (32 enodes)
66.708 * * [simplify]: Extracting #0: cost 1 inf + 0
66.708 * * [simplify]: Extracting #1: cost 8 inf + 0
66.708 * * [simplify]: Extracting #2: cost 7 inf + 45
66.708 * * [simplify]: Extracting #3: cost 0 inf + 421
66.708 * [simplify]: Simplified to (* (* PI 2) n)
66.708 * [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 (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.708 * * * * [progress]: [ 8 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (cbrt (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)))) (cbrt (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.709 * [simplify]: Simplifying (cbrt (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
66.709 * * [simplify]: iters left: 6 (8 enodes)
66.713 * * [simplify]: iters left: 5 (26 enodes)
66.724 * * [simplify]: iters left: 4 (39 enodes)
66.734 * * [simplify]: iters left: 3 (40 enodes)
66.744 * * [simplify]: Extracting #0: cost 1 inf + 0
66.744 * * [simplify]: Extracting #1: cost 3 inf + 0
66.744 * * [simplify]: Extracting #2: cost 7 inf + 0
66.744 * * [simplify]: Extracting #3: cost 9 inf + 1
66.744 * * [simplify]: Extracting #4: cost 12 inf + 1
66.744 * * [simplify]: Extracting #5: cost 12 inf + 2
66.744 * * [simplify]: Extracting #6: cost 6 inf + 653
66.745 * * [simplify]: Extracting #7: cost 1 inf + 1382
66.745 * * [simplify]: Extracting #8: cost 0 inf + 1544
66.746 * [simplify]: Simplified to (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
66.746 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (cbrt (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)))) (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.746 * * * * [progress]: [ 9 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (sqrt (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.746 * [simplify]: Simplifying (sqrt (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
66.746 * * [simplify]: iters left: 6 (8 enodes)
66.750 * * [simplify]: iters left: 5 (26 enodes)
66.759 * * [simplify]: iters left: 4 (40 enodes)
66.769 * * [simplify]: iters left: 3 (41 enodes)
66.779 * * [simplify]: Extracting #0: cost 1 inf + 0
66.779 * * [simplify]: Extracting #1: cost 4 inf + 0
66.779 * * [simplify]: Extracting #2: cost 9 inf + 0
66.779 * * [simplify]: Extracting #3: cost 12 inf + 1
66.779 * * [simplify]: Extracting #4: cost 12 inf + 2
66.779 * * [simplify]: Extracting #5: cost 5 inf + 614
66.780 * * [simplify]: Extracting #6: cost 0 inf + 1384
66.780 * [simplify]: Simplified to (fabs (cbrt (- 1 k)))
66.780 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (fabs (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.780 * * * * [progress]: [ 10 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (cbrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.781 * [simplify]: Simplifying (/ (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (cbrt 1))
66.781 * * [simplify]: iters left: 6 (9 enodes)
66.787 * * [simplify]: iters left: 5 (31 enodes)
66.797 * * [simplify]: iters left: 4 (44 enodes)
66.804 * * [simplify]: iters left: 3 (45 enodes)
66.809 * * [simplify]: Extracting #0: cost 1 inf + 0
66.809 * * [simplify]: Extracting #1: cost 4 inf + 0
66.809 * * [simplify]: Extracting #2: cost 6 inf + 1
66.809 * * [simplify]: Extracting #3: cost 9 inf + 1
66.810 * * [simplify]: Extracting #4: cost 12 inf + 1
66.810 * * [simplify]: Extracting #5: cost 11 inf + 43
66.810 * * [simplify]: Extracting #6: cost 6 inf + 572
66.810 * * [simplify]: Extracting #7: cost 0 inf + 1544
66.810 * [simplify]: Simplified to (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
66.810 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))) (* (cbrt 1) (cbrt 1)))) (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.810 * * * * [progress]: [ 11 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))) (sqrt 1))) (/ (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (sqrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.811 * [simplify]: Simplifying (/ (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (sqrt 1))
66.811 * * [simplify]: iters left: 6 (9 enodes)
66.814 * * [simplify]: iters left: 5 (31 enodes)
66.819 * * [simplify]: iters left: 4 (44 enodes)
66.825 * * [simplify]: iters left: 3 (45 enodes)
66.830 * * [simplify]: Extracting #0: cost 1 inf + 0
66.830 * * [simplify]: Extracting #1: cost 4 inf + 0
66.830 * * [simplify]: Extracting #2: cost 6 inf + 1
66.830 * * [simplify]: Extracting #3: cost 9 inf + 1
66.830 * * [simplify]: Extracting #4: cost 12 inf + 1
66.830 * * [simplify]: Extracting #5: cost 11 inf + 43
66.830 * * [simplify]: Extracting #6: cost 6 inf + 572
66.830 * * [simplify]: Extracting #7: cost 0 inf + 1544
66.831 * [simplify]: Simplified to (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
66.831 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))) (sqrt 1))) (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.831 * * * * [progress]: [ 12 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))) 1)) (/ (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.831 * [simplify]: Simplifying (/ (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 1)
66.831 * * [simplify]: iters left: 6 (8 enodes)
66.834 * * [simplify]: iters left: 5 (26 enodes)
66.845 * * [simplify]: iters left: 4 (39 enodes)
66.855 * * [simplify]: iters left: 3 (40 enodes)
66.865 * * [simplify]: Extracting #0: cost 1 inf + 0
66.865 * * [simplify]: Extracting #1: cost 4 inf + 0
66.866 * * [simplify]: Extracting #2: cost 6 inf + 1
66.866 * * [simplify]: Extracting #3: cost 9 inf + 1
66.866 * * [simplify]: Extracting #4: cost 12 inf + 1
66.866 * * [simplify]: Extracting #5: cost 12 inf + 2
66.866 * * [simplify]: Extracting #6: cost 6 inf + 653
66.866 * * [simplify]: Extracting #7: cost 1 inf + 1382
66.867 * * [simplify]: Extracting #8: cost 0 inf + 1544
66.867 * [simplify]: Simplified to (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
66.867 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (cbrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))) 1)) (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.868 * * * * [progress]: [ 13 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (* (cbrt 1) (cbrt 1)))) (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (cbrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.868 * [simplify]: Simplifying (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (cbrt 1))
66.868 * * [simplify]: iters left: 6 (9 enodes)
66.875 * * [simplify]: iters left: 5 (31 enodes)
66.884 * * [simplify]: iters left: 4 (45 enodes)
66.896 * * [simplify]: iters left: 3 (46 enodes)
66.901 * * [simplify]: Extracting #0: cost 1 inf + 0
66.901 * * [simplify]: Extracting #1: cost 5 inf + 0
66.901 * * [simplify]: Extracting #2: cost 8 inf + 1
66.902 * * [simplify]: Extracting #3: cost 12 inf + 1
66.902 * * [simplify]: Extracting #4: cost 11 inf + 43
66.902 * * [simplify]: Extracting #5: cost 6 inf + 572
66.902 * * [simplify]: Extracting #6: cost 0 inf + 1384
66.902 * [simplify]: Simplified to (fabs (cbrt (- 1 k)))
66.902 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (* (cbrt 1) (cbrt 1)))) (fabs (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.902 * * * * [progress]: [ 14 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (sqrt 1))) (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (sqrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.903 * [simplify]: Simplifying (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (sqrt 1))
66.903 * * [simplify]: iters left: 6 (9 enodes)
66.906 * * [simplify]: iters left: 5 (31 enodes)
66.911 * * [simplify]: iters left: 4 (45 enodes)
66.916 * * [simplify]: iters left: 3 (46 enodes)
66.922 * * [simplify]: Extracting #0: cost 1 inf + 0
66.922 * * [simplify]: Extracting #1: cost 5 inf + 0
66.922 * * [simplify]: Extracting #2: cost 8 inf + 1
66.922 * * [simplify]: Extracting #3: cost 12 inf + 1
66.922 * * [simplify]: Extracting #4: cost 11 inf + 43
66.922 * * [simplify]: Extracting #5: cost 6 inf + 572
66.922 * * [simplify]: Extracting #6: cost 0 inf + 1384
66.922 * [simplify]: Simplified to (fabs (cbrt (- 1 k)))
66.922 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (sqrt 1))) (fabs (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.923 * * * * [progress]: [ 15 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 1)) (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.923 * [simplify]: Simplifying (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 1)
66.923 * * [simplify]: iters left: 6 (8 enodes)
66.925 * * [simplify]: iters left: 5 (26 enodes)
66.930 * * [simplify]: iters left: 4 (40 enodes)
66.941 * * [simplify]: iters left: 3 (41 enodes)
66.951 * * [simplify]: Extracting #0: cost 1 inf + 0
66.951 * * [simplify]: Extracting #1: cost 5 inf + 0
66.951 * * [simplify]: Extracting #2: cost 8 inf + 1
66.952 * * [simplify]: Extracting #3: cost 12 inf + 1
66.952 * * [simplify]: Extracting #4: cost 12 inf + 2
66.952 * * [simplify]: Extracting #5: cost 5 inf + 614
66.952 * * [simplify]: Extracting #6: cost 0 inf + 1384
66.953 * [simplify]: Simplified to (fabs (cbrt (- 1 k)))
66.953 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 1)) (fabs (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.953 * * * * [progress]: [ 16 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (* (cbrt 1) (cbrt 1))) (* (cbrt 1) (cbrt 1)))) (/ (/ (cbrt (- 1 k)) (cbrt 1)) (cbrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.953 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 1)) (cbrt 1))
66.954 * * [simplify]: iters left: 6 (7 enodes)
66.959 * * [simplify]: iters left: 5 (27 enodes)
66.966 * * [simplify]: iters left: 4 (32 enodes)
66.975 * * [simplify]: Extracting #0: cost 1 inf + 0
66.975 * * [simplify]: Extracting #1: cost 4 inf + 0
66.975 * * [simplify]: Extracting #2: cost 6 inf + 1
66.975 * * [simplify]: Extracting #3: cost 1 inf + 371
66.976 * * [simplify]: Extracting #4: cost 0 inf + 412
66.976 * [simplify]: Simplified to (cbrt (- 1 k))
66.976 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (* (cbrt 1) (cbrt 1))) (* (cbrt 1) (cbrt 1)))) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
66.976 * * * * [progress]: [ 17 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (* (cbrt 1) (cbrt 1))) (sqrt 1))) (/ (/ (cbrt (- 1 k)) (cbrt 1)) (sqrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
66.977 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 1)) (sqrt 1))
66.977 * * [simplify]: iters left: 6 (8 enodes)
66.985 * * [simplify]: iters left: 5 (30 enodes)
66.995 * * [simplify]: iters left: 4 (35 enodes)
67.003 * * [simplify]: Extracting #0: cost 1 inf + 0
67.003 * * [simplify]: Extracting #1: cost 4 inf + 0
67.003 * * [simplify]: Extracting #2: cost 6 inf + 1
67.003 * * [simplify]: Extracting #3: cost 1 inf + 371
67.003 * * [simplify]: Extracting #4: cost 0 inf + 412
67.003 * [simplify]: Simplified to (cbrt (- 1 k))
67.003 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (* (cbrt 1) (cbrt 1))) (sqrt 1))) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.004 * * * * [progress]: [ 18 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (* (cbrt 1) (cbrt 1))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 1)) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.004 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 1)) 1)
67.004 * * [simplify]: iters left: 6 (7 enodes)
67.007 * * [simplify]: iters left: 5 (25 enodes)
67.010 * * [simplify]: iters left: 4 (30 enodes)
67.014 * * [simplify]: Extracting #0: cost 1 inf + 0
67.014 * * [simplify]: Extracting #1: cost 4 inf + 0
67.014 * * [simplify]: Extracting #2: cost 6 inf + 1
67.014 * * [simplify]: Extracting #3: cost 2 inf + 249
67.014 * * [simplify]: Extracting #4: cost 0 inf + 412
67.014 * [simplify]: Simplified to (cbrt (- 1 k))
67.014 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (* (cbrt 1) (cbrt 1))) 1)) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.014 * * * * [progress]: [ 19 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (sqrt 1)) (* (cbrt 1) (cbrt 1)))) (/ (/ (cbrt (- 1 k)) (sqrt 1)) (cbrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.014 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 1)) (cbrt 1))
67.015 * * [simplify]: iters left: 6 (8 enodes)
67.019 * * [simplify]: iters left: 5 (30 enodes)
67.023 * * [simplify]: iters left: 4 (35 enodes)
67.027 * * [simplify]: Extracting #0: cost 1 inf + 0
67.027 * * [simplify]: Extracting #1: cost 4 inf + 0
67.027 * * [simplify]: Extracting #2: cost 6 inf + 1
67.027 * * [simplify]: Extracting #3: cost 1 inf + 371
67.027 * * [simplify]: Extracting #4: cost 0 inf + 412
67.027 * [simplify]: Simplified to (cbrt (- 1 k))
67.027 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (sqrt 1)) (* (cbrt 1) (cbrt 1)))) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.027 * * * * [progress]: [ 20 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (sqrt 1)) (sqrt 1))) (/ (/ (cbrt (- 1 k)) (sqrt 1)) (sqrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.027 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 1)) (sqrt 1))
67.028 * * [simplify]: iters left: 6 (7 enodes)
67.030 * * [simplify]: iters left: 5 (27 enodes)
67.033 * * [simplify]: iters left: 4 (32 enodes)
67.037 * * [simplify]: Extracting #0: cost 1 inf + 0
67.037 * * [simplify]: Extracting #1: cost 4 inf + 0
67.037 * * [simplify]: Extracting #2: cost 6 inf + 1
67.037 * * [simplify]: Extracting #3: cost 1 inf + 371
67.037 * * [simplify]: Extracting #4: cost 0 inf + 412
67.038 * [simplify]: Simplified to (cbrt (- 1 k))
67.038 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (sqrt 1)) (sqrt 1))) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.038 * * * * [progress]: [ 21 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (sqrt 1)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 1)) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.038 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 1)) 1)
67.038 * * [simplify]: iters left: 6 (7 enodes)
67.043 * * [simplify]: iters left: 5 (25 enodes)
67.050 * * [simplify]: iters left: 4 (30 enodes)
67.057 * * [simplify]: Extracting #0: cost 1 inf + 0
67.057 * * [simplify]: Extracting #1: cost 4 inf + 0
67.057 * * [simplify]: Extracting #2: cost 6 inf + 1
67.057 * * [simplify]: Extracting #3: cost 2 inf + 249
67.057 * * [simplify]: Extracting #4: cost 0 inf + 412
67.058 * [simplify]: Simplified to (cbrt (- 1 k))
67.058 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) (sqrt 1)) 1)) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.058 * * * * [progress]: [ 22 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) 1) (* (cbrt 1) (cbrt 1)))) (/ (/ (cbrt (- 1 k)) 1) (cbrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.058 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 1) (cbrt 1))
67.058 * * [simplify]: iters left: 6 (7 enodes)
67.063 * * [simplify]: iters left: 5 (25 enodes)
67.069 * * [simplify]: iters left: 4 (30 enodes)
67.077 * * [simplify]: Extracting #0: cost 1 inf + 0
67.077 * * [simplify]: Extracting #1: cost 4 inf + 0
67.077 * * [simplify]: Extracting #2: cost 6 inf + 1
67.077 * * [simplify]: Extracting #3: cost 2 inf + 249
67.077 * * [simplify]: Extracting #4: cost 0 inf + 412
67.077 * [simplify]: Simplified to (cbrt (- 1 k))
67.077 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) 1) (* (cbrt 1) (cbrt 1)))) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.078 * * * * [progress]: [ 23 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) 1) (sqrt 1))) (/ (/ (cbrt (- 1 k)) 1) (sqrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.078 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 1) (sqrt 1))
67.078 * * [simplify]: iters left: 6 (7 enodes)
67.083 * * [simplify]: iters left: 5 (25 enodes)
67.089 * * [simplify]: iters left: 4 (30 enodes)
67.095 * * [simplify]: Extracting #0: cost 1 inf + 0
67.095 * * [simplify]: Extracting #1: cost 4 inf + 0
67.095 * * [simplify]: Extracting #2: cost 6 inf + 1
67.095 * * [simplify]: Extracting #3: cost 2 inf + 249
67.095 * * [simplify]: Extracting #4: cost 0 inf + 412
67.095 * [simplify]: Simplified to (cbrt (- 1 k))
67.095 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) 1) (sqrt 1))) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.095 * * * * [progress]: [ 24 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) 1) 1)) (/ (/ (cbrt (- 1 k)) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.095 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 1) 1)
67.095 * * [simplify]: iters left: 6 (6 enodes)
67.097 * * [simplify]: iters left: 5 (18 enodes)
67.101 * * [simplify]: iters left: 4 (25 enodes)
67.104 * * [simplify]: Extracting #0: cost 1 inf + 0
67.104 * * [simplify]: Extracting #1: cost 4 inf + 0
67.104 * * [simplify]: Extracting #2: cost 6 inf + 1
67.104 * * [simplify]: Extracting #3: cost 1 inf + 371
67.104 * * [simplify]: Extracting #4: cost 0 inf + 412
67.104 * [simplify]: Simplified to (cbrt (- 1 k))
67.104 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (cbrt (- 1 k)) 1) 1)) (cbrt (- 1 k))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.104 * * * * [progress]: [ 25 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (cbrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.104 * [simplify]: Simplifying (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (cbrt 1))
67.105 * * [simplify]: iters left: 6 (8 enodes)
67.108 * * [simplify]: iters left: 5 (30 enodes)
67.112 * * [simplify]: iters left: 4 (41 enodes)
67.117 * * [simplify]: iters left: 3 (42 enodes)
67.123 * * [simplify]: Extracting #0: cost 1 inf + 0
67.123 * * [simplify]: Extracting #1: cost 5 inf + 0
67.123 * * [simplify]: Extracting #2: cost 7 inf + 1
67.123 * * [simplify]: Extracting #3: cost 10 inf + 1
67.123 * * [simplify]: Extracting #4: cost 7 inf + 127
67.123 * * [simplify]: Extracting #5: cost 2 inf + 736
67.124 * * [simplify]: Extracting #6: cost 0 inf + 1060
67.124 * [simplify]: Simplified to (* (cbrt (- 1 k)) (cbrt (- 1 k)))
67.124 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 1) (cbrt 1)))) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.125 * * * * [progress]: [ 26 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.125 * [simplify]: Simplifying (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 1))
67.125 * * [simplify]: iters left: 6 (8 enodes)
67.131 * * [simplify]: iters left: 5 (30 enodes)
67.139 * * [simplify]: iters left: 4 (41 enodes)
67.149 * * [simplify]: iters left: 3 (42 enodes)
67.159 * * [simplify]: Extracting #0: cost 1 inf + 0
67.159 * * [simplify]: Extracting #1: cost 5 inf + 0
67.159 * * [simplify]: Extracting #2: cost 7 inf + 1
67.160 * * [simplify]: Extracting #3: cost 10 inf + 1
67.160 * * [simplify]: Extracting #4: cost 7 inf + 127
67.160 * * [simplify]: Extracting #5: cost 2 inf + 736
67.160 * * [simplify]: Extracting #6: cost 0 inf + 1060
67.161 * [simplify]: Simplified to (* (cbrt (- 1 k)) (cbrt (- 1 k)))
67.161 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 1))) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.161 * * * * [progress]: [ 27 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.161 * [simplify]: Simplifying (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)
67.161 * * [simplify]: iters left: 6 (7 enodes)
67.165 * * [simplify]: iters left: 5 (23 enodes)
67.172 * * [simplify]: iters left: 4 (36 enodes)
67.182 * * [simplify]: iters left: 3 (37 enodes)
67.191 * * [simplify]: Extracting #0: cost 1 inf + 0
67.191 * * [simplify]: Extracting #1: cost 5 inf + 0
67.191 * * [simplify]: Extracting #2: cost 7 inf + 1
67.191 * * [simplify]: Extracting #3: cost 10 inf + 1
67.191 * * [simplify]: Extracting #4: cost 9 inf + 43
67.191 * * [simplify]: Extracting #5: cost 3 inf + 614
67.192 * * [simplify]: Extracting #6: cost 1 inf + 898
67.192 * * [simplify]: Extracting #7: cost 0 inf + 1060
67.192 * [simplify]: Simplified to (* (cbrt (- 1 k)) (cbrt (- 1 k)))
67.193 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ 1 1)) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.193 * * * * [progress]: [ 28 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 1) (cbrt 1)))) (/ (/ 1 1) (cbrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.193 * [simplify]: Simplifying (/ (/ 1 1) (cbrt 1))
67.193 * * [simplify]: iters left: 4 (4 enodes)
67.199 * * [simplify]: iters left: 3 (12 enodes)
67.202 * * [simplify]: iters left: 2 (14 enodes)
67.205 * * [simplify]: Extracting #0: cost 1 inf + 0
67.205 * * [simplify]: Extracting #1: cost 0 inf + 1
67.205 * [simplify]: Simplified to 1
67.205 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 1) (cbrt 1)))) 1) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.206 * * * * [progress]: [ 29 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 1))) (/ (/ 1 1) (sqrt 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.206 * [simplify]: Simplifying (/ (/ 1 1) (sqrt 1))
67.206 * * [simplify]: iters left: 4 (4 enodes)
67.212 * * [simplify]: iters left: 3 (12 enodes)
67.215 * * [simplify]: iters left: 2 (14 enodes)
67.218 * * [simplify]: Extracting #0: cost 1 inf + 0
67.218 * * [simplify]: Extracting #1: cost 0 inf + 1
67.218 * [simplify]: Simplified to 1
67.218 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 1))) 1) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.218 * * * * [progress]: [ 30 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (/ 1 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.218 * [simplify]: Simplifying (/ (/ 1 1) 1)
67.218 * * [simplify]: iters left: 4 (3 enodes)
67.222 * * [simplify]: iters left: 3 (7 enodes)
67.225 * * [simplify]: iters left: 2 (9 enodes)
67.227 * * [simplify]: Extracting #0: cost 1 inf + 0
67.227 * * [simplify]: Extracting #1: cost 0 inf + 1
67.227 * [simplify]: Simplified to 1
67.227 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 1) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.227 * * * * [progress]: [ 31 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) 1) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.228 * [simplify]: Simplifying (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)
67.228 * * [simplify]: iters left: 6 (7 enodes)
67.231 * * [simplify]: iters left: 5 (23 enodes)
67.239 * * [simplify]: iters left: 4 (36 enodes)
67.248 * * [simplify]: iters left: 3 (37 enodes)
67.256 * * [simplify]: Extracting #0: cost 1 inf + 0
67.257 * * [simplify]: Extracting #1: cost 5 inf + 0
67.257 * * [simplify]: Extracting #2: cost 7 inf + 1
67.257 * * [simplify]: Extracting #3: cost 10 inf + 1
67.257 * * [simplify]: Extracting #4: cost 9 inf + 43
67.257 * * [simplify]: Extracting #5: cost 3 inf + 614
67.257 * * [simplify]: Extracting #6: cost 1 inf + 898
67.258 * * [simplify]: Extracting #7: cost 0 inf + 1060
67.258 * [simplify]: Simplified to (* (cbrt (- 1 k)) (cbrt (- 1 k)))
67.259 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) 1) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.259 * * * * [progress]: [ 32 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ 1 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.259 * [simplify]: Simplifying (/ 1 1)
67.259 * * [simplify]: iters left: 2 (2 enodes)
67.261 * * [simplify]: iters left: 1 (6 enodes)
67.263 * * [simplify]: Extracting #0: cost 1 inf + 0
67.263 * * [simplify]: Extracting #1: cost 0 inf + 1
67.263 * [simplify]: Simplified to 1
67.263 * [simplify]: Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 1) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.263 * * * * [progress]: [ 33 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (pow (* 2 PI) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.263 * [simplify]: Simplifying (pow n (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
67.263 * * [simplify]: iters left: 6 (9 enodes)
67.268 * * [simplify]: iters left: 5 (35 enodes)
67.280 * * [simplify]: iters left: 4 (71 enodes)
67.301 * * [simplify]: iters left: 3 (111 enodes)
67.323 * * [simplify]: iters left: 2 (244 enodes)
67.415 * * [simplify]: Extracting #0: cost 1 inf + 0
67.416 * * [simplify]: Extracting #1: cost 17 inf + 0
67.416 * * [simplify]: Extracting #2: cost 101 inf + 2
67.416 * * [simplify]: Extracting #3: cost 132 inf + 5
67.417 * * [simplify]: Extracting #4: cost 139 inf + 8
67.417 * * [simplify]: Extracting #5: cost 132 inf + 1155
67.419 * * [simplify]: Extracting #6: cost 89 inf + 10634
67.423 * * [simplify]: Extracting #7: cost 49 inf + 26069
67.431 * * [simplify]: Extracting #8: cost 0 inf + 54754
67.440 * * [simplify]: Extracting #9: cost 0 inf + 54372
67.448 * [simplify]: Simplified to (pow n (* (cbrt (- 1 k)) (cbrt (- 1 k))))
67.448 * [simplify]: Simplified (2 2 1 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (pow n (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (pow (* 2 PI) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.448 * * * * [progress]: [ 34 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) 1) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.448 * * * * [progress]: [ 35 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (exp (log (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.448 * * * * [progress]: [ 36 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (log (exp (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.448 * * * * [progress]: [ 37 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (cbrt (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.448 * * * * [progress]: [ 38 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.449 * * * * [progress]: [ 39 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (sqrt (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (sqrt (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.449 * * * * [progress]: [ 40 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* 1 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.449 * * * * [progress]: [ 41 / 176 ] 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) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) 2))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.449 * * * * [progress]: [ 42 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
67.449 * * * * [progress]: [ 43 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (+ (log n) (+ (log 2) (log 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))))>
67.449 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
67.449 * * [simplify]: iters left: 6 (14 enodes)
67.457 * * [simplify]: iters left: 5 (60 enodes)
67.469 * * [simplify]: iters left: 4 (108 enodes)
67.488 * * [simplify]: iters left: 3 (249 enodes)
67.552 * * [simplify]: Extracting #0: cost 1 inf + 0
67.552 * * [simplify]: Extracting #1: cost 28 inf + 0
67.552 * * [simplify]: Extracting #2: cost 114 inf + 2
67.553 * * [simplify]: Extracting #3: cost 151 inf + 301
67.554 * * [simplify]: Extracting #4: cost 84 inf + 10352
67.559 * * [simplify]: Extracting #5: cost 17 inf + 27228
67.564 * * [simplify]: Extracting #6: cost 0 inf + 31848
67.570 * * [simplify]: Extracting #7: cost 0 inf + 31808
67.578 * [simplify]: Simplified to (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))
67.578 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (+ (log n) (+ (log 2) (log PI))) (/ 4 (- 1 k)))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.578 * * * * [progress]: [ 44 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (+ (log n) (log (* 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))))>
67.579 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
67.579 * * [simplify]: iters left: 6 (13 enodes)
67.583 * * [simplify]: iters left: 5 (58 enodes)
67.592 * * [simplify]: iters left: 4 (101 enodes)
67.615 * * [simplify]: iters left: 3 (207 enodes)
67.660 * * [simplify]: iters left: 2 (498 enodes)
67.843 * * [simplify]: Extracting #0: cost 1 inf + 0
67.843 * * [simplify]: Extracting #1: cost 58 inf + 0
67.844 * * [simplify]: Extracting #2: cost 205 inf + 4
67.845 * * [simplify]: Extracting #3: cost 244 inf + 1075
67.856 * * [simplify]: Extracting #4: cost 137 inf + 20618
67.875 * * [simplify]: Extracting #5: cost 12 inf + 54441
67.899 * * [simplify]: Extracting #6: cost 0 inf + 58827
67.923 * * [simplify]: Extracting #7: cost 0 inf + 58826
67.947 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)
67.947 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 4)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
67.947 * * * * [progress]: [ 45 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (log (* 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))))>
67.948 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
67.948 * * [simplify]: iters left: 6 (12 enodes)
67.955 * * [simplify]: iters left: 5 (57 enodes)
67.975 * * [simplify]: iters left: 4 (111 enodes)
68.434 * * [simplify]: iters left: 3 (212 enodes)
68.474 * * [simplify]: iters left: 2 (446 enodes)
68.610 * * [simplify]: Extracting #0: cost 1 inf + 0
68.610 * * [simplify]: Extracting #1: cost 34 inf + 0
68.611 * * [simplify]: Extracting #2: cost 143 inf + 4
68.611 * * [simplify]: Extracting #3: cost 200 inf + 396
68.613 * * [simplify]: Extracting #4: cost 133 inf + 9596
68.619 * * [simplify]: Extracting #5: cost 32 inf + 30294
68.633 * * [simplify]: Extracting #6: cost 1 inf + 36989
68.648 * * [simplify]: Extracting #7: cost 0 inf + 37182
68.664 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)
68.664 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
68.664 * * * * [progress]: [ 46 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* (log (* 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))))>
68.664 * * * * [progress]: [ 47 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
68.665 * [simplify]: Simplifying (* n (* 2 PI))
68.665 * * [simplify]: iters left: 4 (5 enodes)
68.668 * * [simplify]: iters left: 3 (19 enodes)
68.673 * * [simplify]: iters left: 2 (27 enodes)
68.681 * * [simplify]: iters left: 1 (32 enodes)
68.689 * * [simplify]: Extracting #0: cost 1 inf + 0
68.689 * * [simplify]: Extracting #1: cost 8 inf + 0
68.690 * * [simplify]: Extracting #2: cost 7 inf + 45
68.690 * * [simplify]: Extracting #3: cost 0 inf + 421
68.690 * [simplify]: Simplified to (* (* PI 2) n)
68.690 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
68.691 * * * * [progress]: [ 48 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
68.691 * [simplify]: Simplifying (* n (* 2 PI))
68.691 * * [simplify]: iters left: 4 (5 enodes)
68.694 * * [simplify]: iters left: 3 (19 enodes)
68.700 * * [simplify]: iters left: 2 (27 enodes)
68.704 * * [simplify]: iters left: 1 (32 enodes)
68.708 * * [simplify]: Extracting #0: cost 1 inf + 0
68.708 * * [simplify]: Extracting #1: cost 8 inf + 0
68.708 * * [simplify]: Extracting #2: cost 7 inf + 45
68.708 * * [simplify]: Extracting #3: cost 0 inf + 421
68.708 * [simplify]: Simplified to (* (* PI 2) n)
68.708 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
68.708 * * * * [progress]: [ 49 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
68.709 * [simplify]: Simplifying (* n (* 2 PI))
68.709 * * [simplify]: iters left: 4 (5 enodes)
68.712 * * [simplify]: iters left: 3 (19 enodes)
68.715 * * [simplify]: iters left: 2 (27 enodes)
68.719 * * [simplify]: iters left: 1 (32 enodes)
68.723 * * [simplify]: Extracting #0: cost 1 inf + 0
68.723 * * [simplify]: Extracting #1: cost 8 inf + 0
68.723 * * [simplify]: Extracting #2: cost 7 inf + 45
68.723 * * [simplify]: Extracting #3: cost 0 inf + 421
68.723 * [simplify]: Simplified to (* (* PI 2) n)
68.723 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
68.724 * * * * [progress]: [ 50 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
68.724 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2))
68.724 * * [simplify]: iters left: 5 (9 enodes)
68.727 * * [simplify]: iters left: 4 (37 enodes)
68.737 * * [simplify]: iters left: 3 (57 enodes)
68.755 * * [simplify]: iters left: 2 (93 enodes)
68.775 * * [simplify]: iters left: 1 (170 enodes)
68.820 * * [simplify]: Extracting #0: cost 1 inf + 0
68.820 * * [simplify]: Extracting #1: cost 13 inf + 0
68.820 * * [simplify]: Extracting #2: cost 59 inf + 1
68.821 * * [simplify]: Extracting #3: cost 78 inf + 176
68.822 * * [simplify]: Extracting #4: cost 40 inf + 3875
68.827 * * [simplify]: Extracting #5: cost 7 inf + 16988
68.833 * * [simplify]: Extracting #6: cost 0 inf + 20577
68.839 * * [simplify]: Extracting #7: cost 0 inf + 20336
68.844 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4))
68.844 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
68.845 * * * * [progress]: [ 51 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
68.845 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2))
68.845 * * [simplify]: iters left: 6 (7 enodes)
68.851 * * [simplify]: iters left: 5 (32 enodes)
68.861 * * [simplify]: iters left: 4 (47 enodes)
68.872 * * [simplify]: iters left: 3 (53 enodes)
68.880 * * [simplify]: iters left: 2 (60 enodes)
68.888 * * [simplify]: Extracting #0: cost 1 inf + 0
68.888 * * [simplify]: Extracting #1: cost 3 inf + 0
68.888 * * [simplify]: Extracting #2: cost 11 inf + 0
68.888 * * [simplify]: Extracting #3: cost 17 inf + 3
68.888 * * [simplify]: Extracting #4: cost 14 inf + 129
68.888 * * [simplify]: Extracting #5: cost 3 inf + 794
68.888 * * [simplify]: Extracting #6: cost 0 inf + 1162
68.889 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4)))
68.889 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
68.889 * * * * [progress]: [ 52 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
68.889 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2))
68.889 * * [simplify]: iters left: 6 (7 enodes)
68.892 * * [simplify]: iters left: 5 (32 enodes)
68.898 * * [simplify]: iters left: 4 (47 enodes)
68.909 * * [simplify]: iters left: 3 (53 enodes)
68.919 * * [simplify]: iters left: 2 (60 enodes)
68.929 * * [simplify]: Extracting #0: cost 1 inf + 0
68.929 * * [simplify]: Extracting #1: cost 3 inf + 0
68.929 * * [simplify]: Extracting #2: cost 11 inf + 0
68.929 * * [simplify]: Extracting #3: cost 17 inf + 3
68.930 * * [simplify]: Extracting #4: cost 14 inf + 129
68.930 * * [simplify]: Extracting #5: cost 3 inf + 794
68.930 * * [simplify]: Extracting #6: cost 0 inf + 1082
68.930 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4)))
68.930 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
68.931 * * * * [progress]: [ 53 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
68.931 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
68.931 * * [simplify]: iters left: 6 (8 enodes)
68.933 * * [simplify]: iters left: 5 (32 enodes)
68.939 * * [simplify]: iters left: 4 (41 enodes)
68.945 * * [simplify]: Extracting #0: cost 1 inf + 0
68.945 * * [simplify]: Extracting #1: cost 4 inf + 0
68.945 * * [simplify]: Extracting #2: cost 8 inf + 0
68.946 * * [simplify]: Extracting #3: cost 9 inf + 163
68.946 * * [simplify]: Extracting #4: cost 13 inf + 164
68.946 * * [simplify]: Extracting #5: cost 10 inf + 249
68.946 * * [simplify]: Extracting #6: cost 3 inf + 986
68.947 * * [simplify]: Extracting #7: cost 0 inf + 1474
68.947 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))
68.947 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
68.947 * * * * [progress]: [ 54 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
68.948 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
68.948 * * [simplify]: iters left: 6 (8 enodes)
68.953 * * [simplify]: iters left: 5 (32 enodes)
68.963 * * [simplify]: iters left: 4 (41 enodes)
68.975 * * [simplify]: Extracting #0: cost 1 inf + 0
68.975 * * [simplify]: Extracting #1: cost 4 inf + 0
68.975 * * [simplify]: Extracting #2: cost 8 inf + 0
68.975 * * [simplify]: Extracting #3: cost 9 inf + 83
68.975 * * [simplify]: Extracting #4: cost 13 inf + 84
68.976 * * [simplify]: Extracting #5: cost 10 inf + 169
68.976 * * [simplify]: Extracting #6: cost 3 inf + 866
68.976 * * [simplify]: Extracting #7: cost 0 inf + 1314
68.977 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))
68.977 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
68.977 * * * * [progress]: [ 55 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
68.978 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2)
68.978 * * [simplify]: iters left: 6 (7 enodes)
68.982 * * [simplify]: iters left: 5 (29 enodes)
68.988 * * [simplify]: iters left: 4 (38 enodes)
68.993 * * [simplify]: Extracting #0: cost 1 inf + 0
68.993 * * [simplify]: Extracting #1: cost 4 inf + 0
68.993 * * [simplify]: Extracting #2: cost 5 inf + 1
68.993 * * [simplify]: Extracting #3: cost 9 inf + 1
68.994 * * [simplify]: Extracting #4: cost 13 inf + 2
68.994 * * [simplify]: Extracting #5: cost 12 inf + 4
68.994 * * [simplify]: Extracting #6: cost 2 inf + 746
68.994 * * [simplify]: Extracting #7: cost 0 inf + 1152
68.994 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2)
68.994 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
68.994 * * * * [progress]: [ 56 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
68.994 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
68.995 * * [simplify]: iters left: 6 (8 enodes)
68.997 * * [simplify]: iters left: 5 (32 enodes)
69.003 * * [simplify]: iters left: 4 (41 enodes)
69.009 * * [simplify]: Extracting #0: cost 1 inf + 0
69.009 * * [simplify]: Extracting #1: cost 4 inf + 0
69.009 * * [simplify]: Extracting #2: cost 8 inf + 0
69.009 * * [simplify]: Extracting #3: cost 9 inf + 163
69.009 * * [simplify]: Extracting #4: cost 13 inf + 164
69.009 * * [simplify]: Extracting #5: cost 10 inf + 249
69.009 * * [simplify]: Extracting #6: cost 3 inf + 906
69.010 * * [simplify]: Extracting #7: cost 0 inf + 1314
69.010 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))
69.010 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.010 * * * * [progress]: [ 57 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.010 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
69.010 * * [simplify]: iters left: 6 (8 enodes)
69.013 * * [simplify]: iters left: 5 (32 enodes)
69.024 * * [simplify]: iters left: 4 (41 enodes)
69.038 * * [simplify]: Extracting #0: cost 1 inf + 0
69.039 * * [simplify]: Extracting #1: cost 4 inf + 0
69.039 * * [simplify]: Extracting #2: cost 8 inf + 0
69.039 * * [simplify]: Extracting #3: cost 9 inf + 83
69.039 * * [simplify]: Extracting #4: cost 13 inf + 84
69.039 * * [simplify]: Extracting #5: cost 10 inf + 169
69.039 * * [simplify]: Extracting #6: cost 3 inf + 786
69.040 * * [simplify]: Extracting #7: cost 0 inf + 1154
69.040 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))
69.040 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.041 * * * * [progress]: [ 58 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.041 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2)
69.041 * * [simplify]: iters left: 6 (7 enodes)
69.045 * * [simplify]: iters left: 5 (29 enodes)
69.055 * * [simplify]: iters left: 4 (38 enodes)
69.065 * * [simplify]: Extracting #0: cost 1 inf + 0
69.065 * * [simplify]: Extracting #1: cost 4 inf + 0
69.065 * * [simplify]: Extracting #2: cost 5 inf + 1
69.065 * * [simplify]: Extracting #3: cost 9 inf + 1
69.065 * * [simplify]: Extracting #4: cost 13 inf + 2
69.065 * * [simplify]: Extracting #5: cost 12 inf + 4
69.066 * * [simplify]: Extracting #6: cost 2 inf + 666
69.066 * * [simplify]: Extracting #7: cost 0 inf + 992
69.066 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2)
69.066 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.067 * * * * [progress]: [ 59 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.067 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))
69.067 * * [simplify]: iters left: 6 (8 enodes)
69.072 * * [simplify]: iters left: 5 (30 enodes)
69.082 * * [simplify]: iters left: 4 (37 enodes)
69.093 * * [simplify]: Extracting #0: cost 1 inf + 0
69.093 * * [simplify]: Extracting #1: cost 6 inf + 0
69.093 * * [simplify]: Extracting #2: cost 12 inf + 0
69.093 * * [simplify]: Extracting #3: cost 11 inf + 405
69.093 * * [simplify]: Extracting #4: cost 10 inf + 407
69.093 * * [simplify]: Extracting #5: cost 4 inf + 1220
69.094 * * [simplify]: Extracting #6: cost 0 inf + 1869
69.094 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
69.094 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.095 * * * * [progress]: [ 60 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.095 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
69.095 * * [simplify]: iters left: 6 (9 enodes)
69.100 * * [simplify]: iters left: 5 (33 enodes)
69.111 * * [simplify]: iters left: 4 (43 enodes)
69.123 * * [simplify]: iters left: 3 (45 enodes)
69.136 * * [simplify]: Extracting #0: cost 1 inf + 0
69.136 * * [simplify]: Extracting #1: cost 8 inf + 0
69.136 * * [simplify]: Extracting #2: cost 16 inf + 0
69.136 * * [simplify]: Extracting #3: cost 16 inf + 284
69.136 * * [simplify]: Extracting #4: cost 11 inf + 610
69.137 * * [simplify]: Extracting #5: cost 8 inf + 815
69.137 * * [simplify]: Extracting #6: cost 0 inf + 2517
69.138 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))
69.138 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.138 * * * * [progress]: [ 61 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.139 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)
69.139 * * [simplify]: iters left: 6 (8 enodes)
69.143 * * [simplify]: iters left: 5 (30 enodes)
69.153 * * [simplify]: iters left: 4 (40 enodes)
69.165 * * [simplify]: iters left: 3 (42 enodes)
69.177 * * [simplify]: Extracting #0: cost 1 inf + 0
69.177 * * [simplify]: Extracting #1: cost 8 inf + 0
69.177 * * [simplify]: Extracting #2: cost 12 inf + 82
69.177 * * [simplify]: Extracting #3: cost 13 inf + 405
69.178 * * [simplify]: Extracting #4: cost 12 inf + 407
69.178 * * [simplify]: Extracting #5: cost 5 inf + 1383
69.178 * * [simplify]: Extracting #6: cost 0 inf + 2195
69.179 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))
69.179 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.179 * * * * [progress]: [ 62 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.180 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
69.180 * * [simplify]: iters left: 6 (9 enodes)
69.187 * * [simplify]: iters left: 5 (33 enodes)
69.198 * * [simplify]: iters left: 4 (43 enodes)
69.210 * * [simplify]: iters left: 3 (45 enodes)
69.223 * * [simplify]: Extracting #0: cost 1 inf + 0
69.224 * * [simplify]: Extracting #1: cost 8 inf + 0
69.224 * * [simplify]: Extracting #2: cost 16 inf + 0
69.224 * * [simplify]: Extracting #3: cost 16 inf + 284
69.224 * * [simplify]: Extracting #4: cost 11 inf + 610
69.224 * * [simplify]: Extracting #5: cost 8 inf + 815
69.225 * * [simplify]: Extracting #6: cost 0 inf + 2517
69.226 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))
69.226 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.226 * * * * [progress]: [ 63 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.226 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))
69.226 * * [simplify]: iters left: 6 (8 enodes)
69.231 * * [simplify]: iters left: 5 (30 enodes)
69.241 * * [simplify]: iters left: 4 (35 enodes)
69.250 * * [simplify]: Extracting #0: cost 1 inf + 0
69.250 * * [simplify]: Extracting #1: cost 6 inf + 0
69.251 * * [simplify]: Extracting #2: cost 8 inf + 42
69.251 * * [simplify]: Extracting #3: cost 11 inf + 83
69.251 * * [simplify]: Extracting #4: cost 10 inf + 85
69.251 * * [simplify]: Extracting #5: cost 4 inf + 658
69.251 * * [simplify]: Extracting #6: cost 0 inf + 1227
69.252 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2)
69.252 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.252 * * * * [progress]: [ 64 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.252 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)
69.252 * * [simplify]: iters left: 6 (8 enodes)
69.257 * * [simplify]: iters left: 5 (30 enodes)
69.266 * * [simplify]: iters left: 4 (40 enodes)
69.278 * * [simplify]: iters left: 3 (42 enodes)
69.289 * * [simplify]: Extracting #0: cost 1 inf + 0
69.289 * * [simplify]: Extracting #1: cost 8 inf + 0
69.289 * * [simplify]: Extracting #2: cost 12 inf + 42
69.290 * * [simplify]: Extracting #3: cost 13 inf + 245
69.290 * * [simplify]: Extracting #4: cost 12 inf + 247
69.290 * * [simplify]: Extracting #5: cost 5 inf + 1143
69.291 * * [simplify]: Extracting #6: cost 0 inf + 1875
69.291 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))
69.291 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.291 * * * * [progress]: [ 65 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.292 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))
69.292 * * [simplify]: iters left: 6 (8 enodes)
69.296 * * [simplify]: iters left: 5 (30 enodes)
69.306 * * [simplify]: iters left: 4 (40 enodes)
69.317 * * [simplify]: iters left: 3 (42 enodes)
69.329 * * [simplify]: Extracting #0: cost 1 inf + 0
69.329 * * [simplify]: Extracting #1: cost 8 inf + 0
69.330 * * [simplify]: Extracting #2: cost 11 inf + 203
69.330 * * [simplify]: Extracting #3: cost 13 inf + 405
69.330 * * [simplify]: Extracting #4: cost 12 inf + 407
69.330 * * [simplify]: Extracting #5: cost 3 inf + 1789
69.331 * * [simplify]: Extracting #6: cost 0 inf + 2195
69.331 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2))
69.332 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.332 * * * * [progress]: [ 66 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.332 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))
69.332 * * [simplify]: iters left: 6 (8 enodes)
69.337 * * [simplify]: iters left: 5 (30 enodes)
69.348 * * [simplify]: iters left: 4 (40 enodes)
69.360 * * [simplify]: iters left: 3 (42 enodes)
69.371 * * [simplify]: Extracting #0: cost 1 inf + 0
69.371 * * [simplify]: Extracting #1: cost 8 inf + 0
69.372 * * [simplify]: Extracting #2: cost 11 inf + 123
69.372 * * [simplify]: Extracting #3: cost 13 inf + 245
69.372 * * [simplify]: Extracting #4: cost 12 inf + 247
69.372 * * [simplify]: Extracting #5: cost 3 inf + 1509
69.373 * * [simplify]: Extracting #6: cost 0 inf + 1875
69.374 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2))
69.374 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.374 * * * * [progress]: [ 67 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.374 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2)
69.374 * * [simplify]: iters left: 6 (7 enodes)
69.378 * * [simplify]: iters left: 5 (28 enodes)
69.387 * * [simplify]: iters left: 4 (35 enodes)
69.392 * * [simplify]: Extracting #0: cost 1 inf + 0
69.393 * * [simplify]: Extracting #1: cost 6 inf + 0
69.393 * * [simplify]: Extracting #2: cost 7 inf + 2
69.393 * * [simplify]: Extracting #3: cost 11 inf + 2
69.393 * * [simplify]: Extracting #4: cost 9 inf + 45
69.393 * * [simplify]: Extracting #5: cost 4 inf + 455
69.393 * * [simplify]: Extracting #6: cost 0 inf + 1066
69.393 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4)
69.393 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.393 * * * * [progress]: [ 68 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.393 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))
69.394 * * [simplify]: iters left: 6 (8 enodes)
69.396 * * [simplify]: iters left: 5 (30 enodes)
69.401 * * [simplify]: iters left: 4 (37 enodes)
69.406 * * [simplify]: Extracting #0: cost 1 inf + 0
69.406 * * [simplify]: Extracting #1: cost 6 inf + 0
69.406 * * [simplify]: Extracting #2: cost 12 inf + 0
69.406 * * [simplify]: Extracting #3: cost 11 inf + 405
69.406 * * [simplify]: Extracting #4: cost 10 inf + 407
69.407 * * [simplify]: Extracting #5: cost 4 inf + 1100
69.407 * * [simplify]: Extracting #6: cost 0 inf + 1629
69.407 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))
69.407 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.407 * * * * [progress]: [ 69 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.408 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
69.408 * * [simplify]: iters left: 6 (9 enodes)
69.410 * * [simplify]: iters left: 5 (33 enodes)
69.416 * * [simplify]: iters left: 4 (43 enodes)
69.423 * * [simplify]: iters left: 3 (45 enodes)
69.433 * * [simplify]: Extracting #0: cost 1 inf + 0
69.433 * * [simplify]: Extracting #1: cost 8 inf + 0
69.433 * * [simplify]: Extracting #2: cost 16 inf + 0
69.434 * * [simplify]: Extracting #3: cost 16 inf + 284
69.434 * * [simplify]: Extracting #4: cost 11 inf + 610
69.434 * * [simplify]: Extracting #5: cost 8 inf + 775
69.435 * * [simplify]: Extracting #6: cost 0 inf + 2197
69.435 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))
69.435 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.436 * * * * [progress]: [ 70 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.436 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)
69.436 * * [simplify]: iters left: 6 (8 enodes)
69.441 * * [simplify]: iters left: 5 (30 enodes)
69.450 * * [simplify]: iters left: 4 (40 enodes)
69.465 * * [simplify]: iters left: 3 (42 enodes)
69.477 * * [simplify]: Extracting #0: cost 1 inf + 0
69.477 * * [simplify]: Extracting #1: cost 8 inf + 0
69.477 * * [simplify]: Extracting #2: cost 12 inf + 82
69.477 * * [simplify]: Extracting #3: cost 13 inf + 405
69.477 * * [simplify]: Extracting #4: cost 12 inf + 407
69.478 * * [simplify]: Extracting #5: cost 5 inf + 1223
69.478 * * [simplify]: Extracting #6: cost 0 inf + 1875
69.479 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))
69.479 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.479 * * * * [progress]: [ 71 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.480 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
69.480 * * [simplify]: iters left: 6 (9 enodes)
69.485 * * [simplify]: iters left: 5 (33 enodes)
69.495 * * [simplify]: iters left: 4 (43 enodes)
69.508 * * [simplify]: iters left: 3 (45 enodes)
69.521 * * [simplify]: Extracting #0: cost 1 inf + 0
69.521 * * [simplify]: Extracting #1: cost 8 inf + 0
69.521 * * [simplify]: Extracting #2: cost 16 inf + 0
69.521 * * [simplify]: Extracting #3: cost 16 inf + 284
69.522 * * [simplify]: Extracting #4: cost 11 inf + 610
69.522 * * [simplify]: Extracting #5: cost 8 inf + 775
69.522 * * [simplify]: Extracting #6: cost 0 inf + 2197
69.523 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))
69.523 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.523 * * * * [progress]: [ 72 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.524 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))
69.524 * * [simplify]: iters left: 6 (8 enodes)
69.528 * * [simplify]: iters left: 5 (30 enodes)
69.538 * * [simplify]: iters left: 4 (35 enodes)
69.548 * * [simplify]: Extracting #0: cost 1 inf + 0
69.548 * * [simplify]: Extracting #1: cost 6 inf + 0
69.548 * * [simplify]: Extracting #2: cost 8 inf + 42
69.548 * * [simplify]: Extracting #3: cost 11 inf + 83
69.548 * * [simplify]: Extracting #4: cost 10 inf + 85
69.548 * * [simplify]: Extracting #5: cost 4 inf + 538
69.549 * * [simplify]: Extracting #6: cost 0 inf + 987
69.549 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2)
69.549 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.550 * * * * [progress]: [ 73 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.550 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)
69.550 * * [simplify]: iters left: 6 (8 enodes)
69.554 * * [simplify]: iters left: 5 (30 enodes)
69.564 * * [simplify]: iters left: 4 (40 enodes)
69.576 * * [simplify]: iters left: 3 (42 enodes)
69.588 * * [simplify]: Extracting #0: cost 1 inf + 0
69.588 * * [simplify]: Extracting #1: cost 8 inf + 0
69.588 * * [simplify]: Extracting #2: cost 12 inf + 42
69.589 * * [simplify]: Extracting #3: cost 13 inf + 245
69.589 * * [simplify]: Extracting #4: cost 12 inf + 247
69.589 * * [simplify]: Extracting #5: cost 5 inf + 983
69.590 * * [simplify]: Extracting #6: cost 0 inf + 1555
69.590 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))
69.590 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.591 * * * * [progress]: [ 74 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.591 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))
69.591 * * [simplify]: iters left: 6 (8 enodes)
69.595 * * [simplify]: iters left: 5 (30 enodes)
69.605 * * [simplify]: iters left: 4 (40 enodes)
69.619 * * [simplify]: iters left: 3 (42 enodes)
69.631 * * [simplify]: Extracting #0: cost 1 inf + 0
69.631 * * [simplify]: Extracting #1: cost 8 inf + 0
69.631 * * [simplify]: Extracting #2: cost 11 inf + 203
69.631 * * [simplify]: Extracting #3: cost 13 inf + 405
69.631 * * [simplify]: Extracting #4: cost 12 inf + 407
69.631 * * [simplify]: Extracting #5: cost 3 inf + 1549
69.632 * * [simplify]: Extracting #6: cost 0 inf + 1875
69.633 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2))
69.633 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.633 * * * * [progress]: [ 75 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.634 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))
69.634 * * [simplify]: iters left: 6 (8 enodes)
69.638 * * [simplify]: iters left: 5 (30 enodes)
69.647 * * [simplify]: iters left: 4 (40 enodes)
69.658 * * [simplify]: iters left: 3 (42 enodes)
69.670 * * [simplify]: Extracting #0: cost 1 inf + 0
69.670 * * [simplify]: Extracting #1: cost 8 inf + 0
69.670 * * [simplify]: Extracting #2: cost 11 inf + 123
69.670 * * [simplify]: Extracting #3: cost 13 inf + 245
69.671 * * [simplify]: Extracting #4: cost 12 inf + 247
69.671 * * [simplify]: Extracting #5: cost 3 inf + 1269
69.671 * * [simplify]: Extracting #6: cost 0 inf + 1555
69.672 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2))
69.672 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.672 * * * * [progress]: [ 76 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.673 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2)
69.673 * * [simplify]: iters left: 6 (7 enodes)
69.677 * * [simplify]: iters left: 5 (28 enodes)
69.686 * * [simplify]: iters left: 4 (35 enodes)
69.695 * * [simplify]: Extracting #0: cost 1 inf + 0
69.695 * * [simplify]: Extracting #1: cost 6 inf + 0
69.695 * * [simplify]: Extracting #2: cost 7 inf + 2
69.695 * * [simplify]: Extracting #3: cost 11 inf + 2
69.695 * * [simplify]: Extracting #4: cost 9 inf + 45
69.696 * * [simplify]: Extracting #5: cost 4 inf + 375
69.696 * * [simplify]: Extracting #6: cost 0 inf + 826
69.696 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4)
69.696 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.697 * * * * [progress]: [ 77 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.697 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
69.697 * * [simplify]: iters left: 6 (7 enodes)
69.701 * * [simplify]: iters left: 5 (30 enodes)
69.712 * * [simplify]: iters left: 4 (49 enodes)
69.726 * * [simplify]: iters left: 3 (59 enodes)
69.742 * * [simplify]: iters left: 2 (64 enodes)
69.754 * * [simplify]: Extracting #0: cost 1 inf + 0
69.754 * * [simplify]: Extracting #1: cost 9 inf + 0
69.754 * * [simplify]: Extracting #2: cost 23 inf + 0
69.754 * * [simplify]: Extracting #3: cost 24 inf + 3
69.755 * * [simplify]: Extracting #4: cost 15 inf + 980
69.755 * * [simplify]: Extracting #5: cost 1 inf + 3007
69.755 * * [simplify]: Extracting #6: cost 0 inf + 3169
69.756 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
69.756 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.756 * * * * [progress]: [ 78 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.756 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
69.756 * * [simplify]: iters left: 6 (8 enodes)
69.761 * * [simplify]: iters left: 5 (33 enodes)
69.767 * * [simplify]: iters left: 4 (55 enodes)
69.776 * * [simplify]: iters left: 3 (72 enodes)
69.794 * * [simplify]: iters left: 2 (84 enodes)
69.806 * * [simplify]: iters left: 1 (88 enodes)
69.817 * * [simplify]: Extracting #0: cost 1 inf + 0
69.817 * * [simplify]: Extracting #1: cost 11 inf + 0
69.817 * * [simplify]: Extracting #2: cost 30 inf + 0
69.817 * * [simplify]: Extracting #3: cost 33 inf + 84
69.818 * * [simplify]: Extracting #4: cost 12 inf + 2402
69.818 * * [simplify]: Extracting #5: cost 0 inf + 4469
69.819 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
69.819 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.819 * * * * [progress]: [ 79 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.819 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
69.819 * * [simplify]: iters left: 6 (7 enodes)
69.823 * * [simplify]: iters left: 5 (30 enodes)
69.833 * * [simplify]: iters left: 4 (52 enodes)
69.849 * * [simplify]: iters left: 3 (70 enodes)
69.871 * * [simplify]: iters left: 2 (81 enodes)
69.892 * * [simplify]: iters left: 1 (84 enodes)
69.913 * * [simplify]: Extracting #0: cost 1 inf + 0
69.913 * * [simplify]: Extracting #1: cost 11 inf + 0
69.914 * * [simplify]: Extracting #2: cost 25 inf + 203
69.914 * * [simplify]: Extracting #3: cost 25 inf + 530
69.915 * * [simplify]: Extracting #4: cost 4 inf + 2936
69.916 * * [simplify]: Extracting #5: cost 0 inf + 3504
69.917 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
69.917 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
69.918 * * * * [progress]: [ 80 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
69.918 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
69.918 * * [simplify]: iters left: 6 (8 enodes)
69.924 * * [simplify]: iters left: 5 (33 enodes)
69.935 * * [simplify]: iters left: 4 (55 enodes)
69.951 * * [simplify]: iters left: 3 (72 enodes)
69.971 * * [simplify]: iters left: 2 (84 enodes)
69.993 * * [simplify]: iters left: 1 (88 enodes)
70.008 * * [simplify]: Extracting #0: cost 1 inf + 0
70.008 * * [simplify]: Extracting #1: cost 11 inf + 0
70.008 * * [simplify]: Extracting #2: cost 30 inf + 0
70.008 * * [simplify]: Extracting #3: cost 33 inf + 44
70.009 * * [simplify]: Extracting #4: cost 12 inf + 2362
70.009 * * [simplify]: Extracting #5: cost 0 inf + 4469
70.010 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
70.010 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.010 * * * * [progress]: [ 81 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.011 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
70.011 * * [simplify]: iters left: 6 (7 enodes)
70.013 * * [simplify]: iters left: 5 (30 enodes)
70.019 * * [simplify]: iters left: 4 (48 enodes)
70.025 * * [simplify]: iters left: 3 (56 enodes)
70.033 * * [simplify]: Extracting #0: cost 1 inf + 0
70.033 * * [simplify]: Extracting #1: cost 8 inf + 0
70.033 * * [simplify]: Extracting #2: cost 15 inf + 43
70.033 * * [simplify]: Extracting #3: cost 16 inf + 86
70.033 * * [simplify]: Extracting #4: cost 5 inf + 911
70.033 * * [simplify]: Extracting #5: cost 1 inf + 1198
70.034 * * [simplify]: Extracting #6: cost 0 inf + 1320
70.034 * [simplify]: Simplified to (/ (- 1 k) 2)
70.034 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.034 * * * * [progress]: [ 82 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.034 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
70.035 * * [simplify]: iters left: 6 (7 enodes)
70.037 * * [simplify]: iters left: 5 (30 enodes)
70.047 * * [simplify]: iters left: 4 (52 enodes)
70.064 * * [simplify]: iters left: 3 (70 enodes)
70.083 * * [simplify]: iters left: 2 (81 enodes)
70.096 * * [simplify]: iters left: 1 (84 enodes)
70.107 * * [simplify]: Extracting #0: cost 1 inf + 0
70.107 * * [simplify]: Extracting #1: cost 11 inf + 0
70.107 * * [simplify]: Extracting #2: cost 25 inf + 123
70.107 * * [simplify]: Extracting #3: cost 25 inf + 330
70.107 * * [simplify]: Extracting #4: cost 4 inf + 2256
70.109 * * [simplify]: Extracting #5: cost 0 inf + 2704
70.110 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
70.110 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.110 * * * * [progress]: [ 83 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.110 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
70.111 * * [simplify]: iters left: 6 (7 enodes)
70.114 * * [simplify]: iters left: 5 (31 enodes)
70.119 * * [simplify]: iters left: 4 (51 enodes)
70.132 * * [simplify]: iters left: 3 (64 enodes)
70.144 * * [simplify]: iters left: 2 (77 enodes)
70.154 * * [simplify]: iters left: 1 (84 enodes)
70.165 * * [simplify]: Extracting #0: cost 1 inf + 0
70.165 * * [simplify]: Extracting #1: cost 11 inf + 0
70.165 * * [simplify]: Extracting #2: cost 26 inf + 82
70.166 * * [simplify]: Extracting #3: cost 24 inf + 692
70.166 * * [simplify]: Extracting #4: cost 3 inf + 3057
70.168 * * [simplify]: Extracting #5: cost 0 inf + 3504
70.169 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
70.169 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.169 * * * * [progress]: [ 84 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.170 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
70.170 * * [simplify]: iters left: 6 (7 enodes)
70.174 * * [simplify]: iters left: 5 (31 enodes)
70.183 * * [simplify]: iters left: 4 (51 enodes)
70.191 * * [simplify]: iters left: 3 (64 enodes)
70.200 * * [simplify]: iters left: 2 (77 enodes)
70.212 * * [simplify]: iters left: 1 (84 enodes)
70.224 * * [simplify]: Extracting #0: cost 1 inf + 0
70.225 * * [simplify]: Extracting #1: cost 11 inf + 0
70.225 * * [simplify]: Extracting #2: cost 26 inf + 42
70.225 * * [simplify]: Extracting #3: cost 24 inf + 452
70.225 * * [simplify]: Extracting #4: cost 3 inf + 2337
70.226 * * [simplify]: Extracting #5: cost 0 inf + 2704
70.226 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
70.226 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.227 * * * * [progress]: [ 85 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.227 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
70.227 * * [simplify]: iters left: 6 (6 enodes)
70.229 * * [simplify]: iters left: 5 (29 enodes)
70.235 * * [simplify]: iters left: 4 (44 enodes)
70.241 * * [simplify]: iters left: 3 (50 enodes)
70.248 * * [simplify]: iters left: 2 (57 enodes)
70.256 * * [simplify]: Extracting #0: cost 1 inf + 0
70.256 * * [simplify]: Extracting #1: cost 9 inf + 0
70.256 * * [simplify]: Extracting #2: cost 15 inf + 3
70.256 * * [simplify]: Extracting #3: cost 11 inf + 131
70.257 * * [simplify]: Extracting #4: cost 2 inf + 711
70.257 * * [simplify]: Extracting #5: cost 0 inf + 836
70.258 * [simplify]: Simplified to (- 1/4 (/ k 4))
70.258 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.258 * * * * [progress]: [ 86 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.258 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))
70.259 * * [simplify]: iters left: 6 (9 enodes)
70.264 * * [simplify]: iters left: 5 (36 enodes)
70.275 * * [simplify]: iters left: 4 (58 enodes)
70.288 * * [simplify]: iters left: 3 (71 enodes)
70.300 * * [simplify]: iters left: 2 (79 enodes)
70.310 * * [simplify]: iters left: 1 (80 enodes)
70.326 * * [simplify]: Extracting #0: cost 1 inf + 0
70.326 * * [simplify]: Extracting #1: cost 9 inf + 0
70.326 * * [simplify]: Extracting #2: cost 24 inf + 0
70.326 * * [simplify]: Extracting #3: cost 29 inf + 2
70.327 * * [simplify]: Extracting #4: cost 10 inf + 2233
70.328 * * [simplify]: Extracting #5: cost 1 inf + 4013
70.329 * * [simplify]: Extracting #6: cost 0 inf + 4135
70.330 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
70.330 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.330 * * * * [progress]: [ 87 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.330 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))
70.330 * * [simplify]: iters left: 6 (10 enodes)
70.334 * * [simplify]: iters left: 5 (39 enodes)
70.340 * * [simplify]: iters left: 4 (64 enodes)
70.350 * * [simplify]: iters left: 3 (86 enodes)
70.362 * * [simplify]: iters left: 2 (99 enodes)
70.387 * * [simplify]: iters left: 1 (104 enodes)
70.413 * * [simplify]: Extracting #0: cost 1 inf + 0
70.413 * * [simplify]: Extracting #1: cost 11 inf + 0
70.413 * * [simplify]: Extracting #2: cost 31 inf + 0
70.413 * * [simplify]: Extracting #3: cost 39 inf + 2
70.413 * * [simplify]: Extracting #4: cost 22 inf + 1871
70.414 * * [simplify]: Extracting #5: cost 4 inf + 4865
70.415 * * [simplify]: Extracting #6: cost 0 inf + 5675
70.416 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
70.416 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.416 * * * * [progress]: [ 88 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.416 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)
70.416 * * [simplify]: iters left: 6 (9 enodes)
70.419 * * [simplify]: iters left: 5 (36 enodes)
70.426 * * [simplify]: iters left: 4 (61 enodes)
70.435 * * [simplify]: iters left: 3 (84 enodes)
70.458 * * [simplify]: iters left: 2 (96 enodes)
70.482 * * [simplify]: iters left: 1 (100 enodes)
70.506 * * [simplify]: Extracting #0: cost 1 inf + 0
70.506 * * [simplify]: Extracting #1: cost 11 inf + 0
70.506 * * [simplify]: Extracting #2: cost 27 inf + 82
70.506 * * [simplify]: Extracting #3: cost 29 inf + 651
70.507 * * [simplify]: Extracting #4: cost 12 inf + 2763
70.509 * * [simplify]: Extracting #5: cost 1 inf + 4587
70.510 * * [simplify]: Extracting #6: cost 0 inf + 4710
70.512 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
70.512 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.512 * * * * [progress]: [ 89 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.512 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))
70.513 * * [simplify]: iters left: 6 (10 enodes)
70.519 * * [simplify]: iters left: 5 (39 enodes)
70.535 * * [simplify]: iters left: 4 (64 enodes)
70.554 * * [simplify]: iters left: 3 (86 enodes)
70.577 * * [simplify]: iters left: 2 (99 enodes)
70.602 * * [simplify]: iters left: 1 (104 enodes)
70.627 * * [simplify]: Extracting #0: cost 1 inf + 0
70.627 * * [simplify]: Extracting #1: cost 11 inf + 0
70.627 * * [simplify]: Extracting #2: cost 31 inf + 0
70.627 * * [simplify]: Extracting #3: cost 39 inf + 2
70.628 * * [simplify]: Extracting #4: cost 22 inf + 1831
70.629 * * [simplify]: Extracting #5: cost 4 inf + 4785
70.631 * * [simplify]: Extracting #6: cost 0 inf + 5595
70.633 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
70.633 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.633 * * * * [progress]: [ 90 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.633 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))
70.633 * * [simplify]: iters left: 6 (9 enodes)
70.636 * * [simplify]: iters left: 5 (36 enodes)
70.642 * * [simplify]: iters left: 4 (57 enodes)
70.651 * * [simplify]: iters left: 3 (73 enodes)
70.666 * * [simplify]: iters left: 2 (80 enodes)
70.685 * * [simplify]: iters left: 1 (81 enodes)
70.694 * * [simplify]: Extracting #0: cost 1 inf + 0
70.694 * * [simplify]: Extracting #1: cost 9 inf + 0
70.694 * * [simplify]: Extracting #2: cost 18 inf + 43
70.694 * * [simplify]: Extracting #3: cost 23 inf + 85
70.695 * * [simplify]: Extracting #4: cost 9 inf + 1271
70.695 * * [simplify]: Extracting #5: cost 0 inf + 2370
70.695 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
70.696 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.696 * * * * [progress]: [ 91 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.696 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)
70.696 * * [simplify]: iters left: 6 (9 enodes)
70.699 * * [simplify]: iters left: 5 (36 enodes)
70.705 * * [simplify]: iters left: 4 (61 enodes)
70.715 * * [simplify]: iters left: 3 (84 enodes)
70.738 * * [simplify]: iters left: 2 (96 enodes)
70.753 * * [simplify]: iters left: 1 (100 enodes)
70.768 * * [simplify]: Extracting #0: cost 1 inf + 0
70.768 * * [simplify]: Extracting #1: cost 11 inf + 0
70.768 * * [simplify]: Extracting #2: cost 27 inf + 42
70.768 * * [simplify]: Extracting #3: cost 29 inf + 411
70.768 * * [simplify]: Extracting #4: cost 12 inf + 2163
70.769 * * [simplify]: Extracting #5: cost 1 inf + 3707
70.770 * * [simplify]: Extracting #6: cost 0 inf + 3830
70.771 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
70.771 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.771 * * * * [progress]: [ 92 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.771 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))
70.771 * * [simplify]: iters left: 6 (9 enodes)
70.776 * * [simplify]: iters left: 5 (36 enodes)
70.789 * * [simplify]: iters left: 4 (62 enodes)
70.806 * * [simplify]: iters left: 3 (78 enodes)
70.826 * * [simplify]: iters left: 2 (90 enodes)
70.841 * * [simplify]: iters left: 1 (94 enodes)
70.852 * * [simplify]: Extracting #0: cost 1 inf + 0
70.852 * * [simplify]: Extracting #1: cost 11 inf + 0
70.852 * * [simplify]: Extracting #2: cost 27 inf + 1
70.852 * * [simplify]: Extracting #3: cost 29 inf + 409
70.853 * * [simplify]: Extracting #4: cost 12 inf + 2359
70.853 * * [simplify]: Extracting #5: cost 2 inf + 4022
70.854 * * [simplify]: Extracting #6: cost 0 inf + 4466
70.854 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
70.855 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.855 * * * * [progress]: [ 93 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.855 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))
70.855 * * [simplify]: iters left: 6 (9 enodes)
70.858 * * [simplify]: iters left: 5 (36 enodes)
70.866 * * [simplify]: iters left: 4 (62 enodes)
70.887 * * [simplify]: iters left: 3 (78 enodes)
70.908 * * [simplify]: iters left: 2 (90 enodes)
70.930 * * [simplify]: iters left: 1 (94 enodes)
70.953 * * [simplify]: Extracting #0: cost 1 inf + 0
70.953 * * [simplify]: Extracting #1: cost 11 inf + 0
70.953 * * [simplify]: Extracting #2: cost 27 inf + 1
70.953 * * [simplify]: Extracting #3: cost 29 inf + 249
70.954 * * [simplify]: Extracting #4: cost 12 inf + 1879
70.955 * * [simplify]: Extracting #5: cost 2 inf + 3302
70.957 * * [simplify]: Extracting #6: cost 0 inf + 3666
70.958 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
70.958 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
70.959 * * * * [progress]: [ 94 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
70.959 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)
70.959 * * [simplify]: iters left: 6 (8 enodes)
70.964 * * [simplify]: iters left: 5 (34 enodes)
70.977 * * [simplify]: iters left: 4 (58 enodes)
70.993 * * [simplify]: iters left: 3 (65 enodes)
71.009 * * [simplify]: Extracting #0: cost 1 inf + 0
71.009 * * [simplify]: Extracting #1: cost 8 inf + 0
71.009 * * [simplify]: Extracting #2: cost 14 inf + 3
71.009 * * [simplify]: Extracting #3: cost 17 inf + 5
71.009 * * [simplify]: Extracting #4: cost 12 inf + 292
71.010 * * [simplify]: Extracting #5: cost 1 inf + 1355
71.010 * * [simplify]: Extracting #6: cost 0 inf + 1478
71.011 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4)
71.011 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.012 * * * * [progress]: [ 95 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.012 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))
71.012 * * [simplify]: iters left: 6 (8 enodes)
71.017 * * [simplify]: iters left: 5 (33 enodes)
71.028 * * [simplify]: iters left: 4 (52 enodes)
71.044 * * [simplify]: iters left: 3 (62 enodes)
71.053 * * [simplify]: iters left: 2 (67 enodes)
71.062 * * [simplify]: Extracting #0: cost 1 inf + 0
71.062 * * [simplify]: Extracting #1: cost 9 inf + 0
71.062 * * [simplify]: Extracting #2: cost 23 inf + 0
71.062 * * [simplify]: Extracting #3: cost 24 inf + 285
71.062 * * [simplify]: Extracting #4: cost 18 inf + 975
71.063 * * [simplify]: Extracting #5: cost 7 inf + 2516
71.063 * * [simplify]: Extracting #6: cost 0 inf + 3891
71.064 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))
71.064 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.064 * * * * [progress]: [ 96 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.064 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))
71.064 * * [simplify]: iters left: 6 (9 enodes)
71.067 * * [simplify]: iters left: 5 (36 enodes)
71.074 * * [simplify]: iters left: 4 (58 enodes)
71.092 * * [simplify]: iters left: 3 (75 enodes)
71.114 * * [simplify]: iters left: 2 (87 enodes)
71.137 * * [simplify]: iters left: 1 (91 enodes)
71.155 * * [simplify]: Extracting #0: cost 1 inf + 0
71.155 * * [simplify]: Extracting #1: cost 11 inf + 0
71.155 * * [simplify]: Extracting #2: cost 30 inf + 0
71.155 * * [simplify]: Extracting #3: cost 36 inf + 83
71.155 * * [simplify]: Extracting #4: cost 30 inf + 451
71.156 * * [simplify]: Extracting #5: cost 10 inf + 3649
71.157 * * [simplify]: Extracting #6: cost 0 inf + 5431
71.157 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))
71.157 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.158 * * * * [progress]: [ 97 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.158 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)
71.158 * * [simplify]: iters left: 6 (8 enodes)
71.160 * * [simplify]: iters left: 5 (33 enodes)
71.166 * * [simplify]: iters left: 4 (55 enodes)
71.175 * * [simplify]: iters left: 3 (73 enodes)
71.188 * * [simplify]: iters left: 2 (84 enodes)
71.211 * * [simplify]: iters left: 1 (87 enodes)
71.233 * * [simplify]: Extracting #0: cost 1 inf + 0
71.233 * * [simplify]: Extracting #1: cost 11 inf + 0
71.233 * * [simplify]: Extracting #2: cost 25 inf + 203
71.234 * * [simplify]: Extracting #3: cost 29 inf + 407
71.234 * * [simplify]: Extracting #4: cost 24 inf + 896
71.235 * * [simplify]: Extracting #5: cost 9 inf + 2805
71.236 * * [simplify]: Extracting #6: cost 0 inf + 4466
71.237 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))
71.237 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.238 * * * * [progress]: [ 98 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.238 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))
71.238 * * [simplify]: iters left: 6 (9 enodes)
71.243 * * [simplify]: iters left: 5 (36 enodes)
71.255 * * [simplify]: iters left: 4 (58 enodes)
71.275 * * [simplify]: iters left: 3 (75 enodes)
71.296 * * [simplify]: iters left: 2 (87 enodes)
71.320 * * [simplify]: iters left: 1 (91 enodes)
71.342 * * [simplify]: Extracting #0: cost 1 inf + 0
71.342 * * [simplify]: Extracting #1: cost 11 inf + 0
71.342 * * [simplify]: Extracting #2: cost 30 inf + 0
71.343 * * [simplify]: Extracting #3: cost 36 inf + 43
71.343 * * [simplify]: Extracting #4: cost 30 inf + 451
71.344 * * [simplify]: Extracting #5: cost 10 inf + 3769
71.345 * * [simplify]: Extracting #6: cost 0 inf + 5431
71.346 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))
71.346 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.346 * * * * [progress]: [ 99 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.346 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))
71.346 * * [simplify]: iters left: 6 (8 enodes)
71.349 * * [simplify]: iters left: 5 (33 enodes)
71.354 * * [simplify]: iters left: 4 (51 enodes)
71.361 * * [simplify]: iters left: 3 (59 enodes)
71.370 * * [simplify]: Extracting #0: cost 1 inf + 0
71.370 * * [simplify]: Extracting #1: cost 8 inf + 0
71.370 * * [simplify]: Extracting #2: cost 15 inf + 43
71.370 * * [simplify]: Extracting #3: cost 19 inf + 85
71.370 * * [simplify]: Extracting #4: cost 16 inf + 250
71.370 * * [simplify]: Extracting #5: cost 5 inf + 1311
71.370 * * [simplify]: Extracting #6: cost 0 inf + 1962
71.371 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2)
71.371 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.371 * * * * [progress]: [ 100 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.371 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)
71.371 * * [simplify]: iters left: 6 (8 enodes)
71.374 * * [simplify]: iters left: 5 (33 enodes)
71.381 * * [simplify]: iters left: 4 (55 enodes)
71.400 * * [simplify]: iters left: 3 (73 enodes)
71.421 * * [simplify]: iters left: 2 (84 enodes)
71.443 * * [simplify]: iters left: 1 (87 enodes)
71.464 * * [simplify]: Extracting #0: cost 1 inf + 0
71.465 * * [simplify]: Extracting #1: cost 11 inf + 0
71.465 * * [simplify]: Extracting #2: cost 25 inf + 123
71.465 * * [simplify]: Extracting #3: cost 29 inf + 247
71.465 * * [simplify]: Extracting #4: cost 24 inf + 576
71.465 * * [simplify]: Extracting #5: cost 9 inf + 2245
71.466 * * [simplify]: Extracting #6: cost 0 inf + 3666
71.467 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))
71.467 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.467 * * * * [progress]: [ 101 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.467 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))
71.467 * * [simplify]: iters left: 6 (8 enodes)
71.470 * * [simplify]: iters left: 5 (34 enodes)
71.476 * * [simplify]: iters left: 4 (54 enodes)
71.484 * * [simplify]: iters left: 3 (67 enodes)
71.493 * * [simplify]: iters left: 2 (80 enodes)
71.514 * * [simplify]: iters left: 1 (87 enodes)
71.535 * * [simplify]: Extracting #0: cost 1 inf + 0
71.535 * * [simplify]: Extracting #1: cost 11 inf + 0
71.536 * * [simplify]: Extracting #2: cost 25 inf + 203
71.536 * * [simplify]: Extracting #3: cost 26 inf + 773
71.536 * * [simplify]: Extracting #4: cost 24 inf + 896
71.537 * * [simplify]: Extracting #5: cost 8 inf + 3127
71.538 * * [simplify]: Extracting #6: cost 0 inf + 4466
71.540 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2))
71.540 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.540 * * * * [progress]: [ 102 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.541 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))
71.541 * * [simplify]: iters left: 6 (8 enodes)
71.546 * * [simplify]: iters left: 5 (34 enodes)
71.557 * * [simplify]: iters left: 4 (54 enodes)
71.573 * * [simplify]: iters left: 3 (67 enodes)
71.592 * * [simplify]: iters left: 2 (80 enodes)
71.613 * * [simplify]: iters left: 1 (87 enodes)
71.626 * * [simplify]: Extracting #0: cost 1 inf + 0
71.626 * * [simplify]: Extracting #1: cost 11 inf + 0
71.626 * * [simplify]: Extracting #2: cost 25 inf + 123
71.626 * * [simplify]: Extracting #3: cost 26 inf + 493
71.627 * * [simplify]: Extracting #4: cost 24 inf + 576
71.627 * * [simplify]: Extracting #5: cost 8 inf + 2527
71.628 * * [simplify]: Extracting #6: cost 0 inf + 3666
71.628 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2))
71.628 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.628 * * * * [progress]: [ 103 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.629 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2)
71.629 * * [simplify]: iters left: 6 (7 enodes)
71.631 * * [simplify]: iters left: 5 (32 enodes)
71.637 * * [simplify]: iters left: 4 (50 enodes)
71.646 * * [simplify]: iters left: 3 (54 enodes)
71.652 * * [simplify]: Extracting #0: cost 1 inf + 0
71.653 * * [simplify]: Extracting #1: cost 8 inf + 0
71.653 * * [simplify]: Extracting #2: cost 13 inf + 3
71.653 * * [simplify]: Extracting #3: cost 15 inf + 5
71.653 * * [simplify]: Extracting #4: cost 14 inf + 6
71.653 * * [simplify]: Extracting #5: cost 4 inf + 825
71.653 * * [simplify]: Extracting #6: cost 0 inf + 1234
71.653 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4))
71.653 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.654 * * * * [progress]: [ 104 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.654 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))
71.654 * * [simplify]: iters left: 6 (7 enodes)
71.656 * * [simplify]: iters left: 5 (30 enodes)
71.667 * * [simplify]: iters left: 4 (49 enodes)
71.681 * * [simplify]: iters left: 3 (59 enodes)
71.698 * * [simplify]: iters left: 2 (64 enodes)
71.715 * * [simplify]: Extracting #0: cost 1 inf + 0
71.715 * * [simplify]: Extracting #1: cost 9 inf + 0
71.716 * * [simplify]: Extracting #2: cost 23 inf + 0
71.716 * * [simplify]: Extracting #3: cost 24 inf + 3
71.716 * * [simplify]: Extracting #4: cost 15 inf + 980
71.717 * * [simplify]: Extracting #5: cost 1 inf + 3007
71.718 * * [simplify]: Extracting #6: cost 0 inf + 3169
71.719 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2)))
71.719 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.719 * * * * [progress]: [ 105 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.720 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
71.720 * * [simplify]: iters left: 6 (8 enodes)
71.725 * * [simplify]: iters left: 5 (33 enodes)
71.736 * * [simplify]: iters left: 4 (55 enodes)
71.753 * * [simplify]: iters left: 3 (72 enodes)
71.773 * * [simplify]: iters left: 2 (84 enodes)
71.799 * * [simplify]: iters left: 1 (88 enodes)
71.820 * * [simplify]: Extracting #0: cost 1 inf + 0
71.821 * * [simplify]: Extracting #1: cost 11 inf + 0
71.821 * * [simplify]: Extracting #2: cost 30 inf + 0
71.821 * * [simplify]: Extracting #3: cost 33 inf + 84
71.821 * * [simplify]: Extracting #4: cost 12 inf + 2402
71.823 * * [simplify]: Extracting #5: cost 0 inf + 4469
71.824 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
71.824 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.825 * * * * [progress]: [ 106 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.825 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2)
71.825 * * [simplify]: iters left: 6 (7 enodes)
71.829 * * [simplify]: iters left: 5 (30 enodes)
71.840 * * [simplify]: iters left: 4 (52 enodes)
71.856 * * [simplify]: iters left: 3 (70 enodes)
71.875 * * [simplify]: iters left: 2 (81 enodes)
71.896 * * [simplify]: iters left: 1 (84 enodes)
71.918 * * [simplify]: Extracting #0: cost 1 inf + 0
71.918 * * [simplify]: Extracting #1: cost 11 inf + 0
71.918 * * [simplify]: Extracting #2: cost 25 inf + 203
71.918 * * [simplify]: Extracting #3: cost 25 inf + 530
71.919 * * [simplify]: Extracting #4: cost 4 inf + 2936
71.920 * * [simplify]: Extracting #5: cost 0 inf + 3504
71.921 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2))
71.921 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.922 * * * * [progress]: [ 107 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.922 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))
71.922 * * [simplify]: iters left: 6 (8 enodes)
71.929 * * [simplify]: iters left: 5 (33 enodes)
71.935 * * [simplify]: iters left: 4 (55 enodes)
71.944 * * [simplify]: iters left: 3 (72 enodes)
71.954 * * [simplify]: iters left: 2 (84 enodes)
71.974 * * [simplify]: iters left: 1 (88 enodes)
71.993 * * [simplify]: Extracting #0: cost 1 inf + 0
71.993 * * [simplify]: Extracting #1: cost 11 inf + 0
71.993 * * [simplify]: Extracting #2: cost 30 inf + 0
71.993 * * [simplify]: Extracting #3: cost 33 inf + 44
71.993 * * [simplify]: Extracting #4: cost 12 inf + 2362
71.994 * * [simplify]: Extracting #5: cost 0 inf + 4469
71.995 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))
71.995 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
71.995 * * * * [progress]: [ 108 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
71.996 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))
71.996 * * [simplify]: iters left: 6 (7 enodes)
71.998 * * [simplify]: iters left: 5 (30 enodes)
72.004 * * [simplify]: iters left: 4 (48 enodes)
72.011 * * [simplify]: iters left: 3 (56 enodes)
72.020 * * [simplify]: Extracting #0: cost 1 inf + 0
72.020 * * [simplify]: Extracting #1: cost 8 inf + 0
72.020 * * [simplify]: Extracting #2: cost 15 inf + 43
72.020 * * [simplify]: Extracting #3: cost 16 inf + 86
72.021 * * [simplify]: Extracting #4: cost 5 inf + 911
72.021 * * [simplify]: Extracting #5: cost 1 inf + 1198
72.022 * * [simplify]: Extracting #6: cost 0 inf + 1320
72.023 * [simplify]: Simplified to (/ (- 1 k) 2)
72.023 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.023 * * * * [progress]: [ 109 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.023 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2)
72.023 * * [simplify]: iters left: 6 (7 enodes)
72.030 * * [simplify]: iters left: 5 (30 enodes)
72.040 * * [simplify]: iters left: 4 (52 enodes)
72.056 * * [simplify]: iters left: 3 (70 enodes)
72.075 * * [simplify]: iters left: 2 (81 enodes)
72.097 * * [simplify]: iters left: 1 (84 enodes)
72.118 * * [simplify]: Extracting #0: cost 1 inf + 0
72.118 * * [simplify]: Extracting #1: cost 11 inf + 0
72.118 * * [simplify]: Extracting #2: cost 25 inf + 123
72.118 * * [simplify]: Extracting #3: cost 25 inf + 330
72.119 * * [simplify]: Extracting #4: cost 4 inf + 2256
72.120 * * [simplify]: Extracting #5: cost 0 inf + 2704
72.121 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2))
72.121 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.122 * * * * [progress]: [ 110 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.122 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
72.122 * * [simplify]: iters left: 6 (7 enodes)
72.127 * * [simplify]: iters left: 5 (31 enodes)
72.137 * * [simplify]: iters left: 4 (51 enodes)
72.151 * * [simplify]: iters left: 3 (64 enodes)
72.160 * * [simplify]: iters left: 2 (77 enodes)
72.173 * * [simplify]: iters left: 1 (84 enodes)
72.183 * * [simplify]: Extracting #0: cost 1 inf + 0
72.183 * * [simplify]: Extracting #1: cost 11 inf + 0
72.183 * * [simplify]: Extracting #2: cost 26 inf + 82
72.183 * * [simplify]: Extracting #3: cost 24 inf + 692
72.184 * * [simplify]: Extracting #4: cost 3 inf + 3057
72.184 * * [simplify]: Extracting #5: cost 0 inf + 3504
72.185 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
72.185 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.186 * * * * [progress]: [ 111 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.186 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
72.186 * * [simplify]: iters left: 6 (7 enodes)
72.191 * * [simplify]: iters left: 5 (31 enodes)
72.201 * * [simplify]: iters left: 4 (51 enodes)
72.216 * * [simplify]: iters left: 3 (64 enodes)
72.234 * * [simplify]: iters left: 2 (77 enodes)
72.255 * * [simplify]: iters left: 1 (84 enodes)
72.278 * * [simplify]: Extracting #0: cost 1 inf + 0
72.278 * * [simplify]: Extracting #1: cost 11 inf + 0
72.278 * * [simplify]: Extracting #2: cost 26 inf + 42
72.278 * * [simplify]: Extracting #3: cost 24 inf + 452
72.279 * * [simplify]: Extracting #4: cost 3 inf + 2337
72.280 * * [simplify]: Extracting #5: cost 0 inf + 2704
72.281 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
72.281 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.282 * * * * [progress]: [ 112 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.282 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
72.282 * * [simplify]: iters left: 6 (6 enodes)
72.287 * * [simplify]: iters left: 5 (29 enodes)
72.295 * * [simplify]: iters left: 4 (44 enodes)
72.302 * * [simplify]: iters left: 3 (50 enodes)
72.309 * * [simplify]: iters left: 2 (57 enodes)
72.317 * * [simplify]: Extracting #0: cost 1 inf + 0
72.317 * * [simplify]: Extracting #1: cost 9 inf + 0
72.317 * * [simplify]: Extracting #2: cost 15 inf + 3
72.317 * * [simplify]: Extracting #3: cost 11 inf + 131
72.317 * * [simplify]: Extracting #4: cost 2 inf + 711
72.317 * * [simplify]: Extracting #5: cost 0 inf + 836
72.317 * [simplify]: Simplified to (- 1/4 (/ k 4))
72.318 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.318 * * * * [progress]: [ 113 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.318 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2))
72.318 * * [simplify]: iters left: 6 (7 enodes)
72.321 * * [simplify]: iters left: 5 (31 enodes)
72.331 * * [simplify]: iters left: 4 (51 enodes)
72.348 * * [simplify]: iters left: 3 (64 enodes)
72.365 * * [simplify]: iters left: 2 (77 enodes)
72.376 * * [simplify]: iters left: 1 (84 enodes)
72.387 * * [simplify]: Extracting #0: cost 1 inf + 0
72.387 * * [simplify]: Extracting #1: cost 11 inf + 0
72.387 * * [simplify]: Extracting #2: cost 26 inf + 82
72.387 * * [simplify]: Extracting #3: cost 24 inf + 692
72.387 * * [simplify]: Extracting #4: cost 3 inf + 3057
72.388 * * [simplify]: Extracting #5: cost 0 inf + 3504
72.389 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2)))
72.389 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.389 * * * * [progress]: [ 114 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.389 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2))
72.389 * * [simplify]: iters left: 6 (7 enodes)
72.392 * * [simplify]: iters left: 5 (31 enodes)
72.399 * * [simplify]: iters left: 4 (51 enodes)
72.407 * * [simplify]: iters left: 3 (64 enodes)
72.420 * * [simplify]: iters left: 2 (77 enodes)
72.440 * * [simplify]: iters left: 1 (84 enodes)
72.460 * * [simplify]: Extracting #0: cost 1 inf + 0
72.460 * * [simplify]: Extracting #1: cost 11 inf + 0
72.460 * * [simplify]: Extracting #2: cost 26 inf + 42
72.460 * * [simplify]: Extracting #3: cost 24 inf + 452
72.460 * * [simplify]: Extracting #4: cost 3 inf + 2337
72.461 * * [simplify]: Extracting #5: cost 0 inf + 2704
72.462 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2)))
72.462 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.462 * * * * [progress]: [ 115 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.462 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
72.462 * * [simplify]: iters left: 6 (6 enodes)
72.465 * * [simplify]: iters left: 5 (29 enodes)
72.470 * * [simplify]: iters left: 4 (44 enodes)
72.476 * * [simplify]: iters left: 3 (50 enodes)
72.484 * * [simplify]: iters left: 2 (57 enodes)
72.491 * * [simplify]: Extracting #0: cost 1 inf + 0
72.491 * * [simplify]: Extracting #1: cost 9 inf + 0
72.491 * * [simplify]: Extracting #2: cost 15 inf + 3
72.492 * * [simplify]: Extracting #3: cost 11 inf + 131
72.492 * * [simplify]: Extracting #4: cost 2 inf + 711
72.492 * * [simplify]: Extracting #5: cost 0 inf + 836
72.492 * [simplify]: Simplified to (- 1/4 (/ k 4))
72.492 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.492 * * * * [progress]: [ 116 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.493 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2))
72.493 * * [simplify]: iters left: 4 (5 enodes)
72.497 * * [simplify]: iters left: 3 (20 enodes)
72.500 * * [simplify]: iters left: 2 (27 enodes)
72.505 * * [simplify]: iters left: 1 (29 enodes)
72.509 * * [simplify]: Extracting #0: cost 1 inf + 0
72.509 * * [simplify]: Extracting #1: cost 8 inf + 0
72.509 * * [simplify]: Extracting #2: cost 4 inf + 449
72.509 * * [simplify]: Extracting #3: cost 0 inf + 895
72.509 * [simplify]: Simplified to (/ 1/2 (cbrt 2))
72.509 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.510 * * * * [progress]: [ 117 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.510 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2))
72.510 * * [simplify]: iters left: 4 (5 enodes)
72.513 * * [simplify]: iters left: 3 (20 enodes)
72.516 * * [simplify]: iters left: 2 (27 enodes)
72.521 * * [simplify]: iters left: 1 (29 enodes)
72.525 * * [simplify]: Extracting #0: cost 1 inf + 0
72.525 * * [simplify]: Extracting #1: cost 8 inf + 0
72.525 * * [simplify]: Extracting #2: cost 4 inf + 289
72.525 * * [simplify]: Extracting #3: cost 0 inf + 575
72.526 * [simplify]: Simplified to (/ 1/2 (sqrt 2))
72.526 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.526 * * * * [progress]: [ 118 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.526 * [simplify]: Simplifying (/ (/ 1 2) 2)
72.526 * * [simplify]: iters left: 4 (4 enodes)
72.529 * * [simplify]: iters left: 3 (19 enodes)
72.535 * * [simplify]: iters left: 2 (23 enodes)
72.541 * * [simplify]: Extracting #0: cost 1 inf + 0
72.541 * * [simplify]: Extracting #1: cost 0 inf + 1
72.541 * [simplify]: Simplified to 1/4
72.541 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.541 * * * * [progress]: [ 119 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.541 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2)
72.542 * * [simplify]: iters left: 6 (6 enodes)
72.544 * * [simplify]: iters left: 5 (29 enodes)
72.549 * * [simplify]: iters left: 4 (44 enodes)
72.556 * * [simplify]: iters left: 3 (50 enodes)
72.564 * * [simplify]: iters left: 2 (57 enodes)
72.571 * * [simplify]: Extracting #0: cost 1 inf + 0
72.572 * * [simplify]: Extracting #1: cost 9 inf + 0
72.572 * * [simplify]: Extracting #2: cost 15 inf + 3
72.572 * * [simplify]: Extracting #3: cost 11 inf + 131
72.572 * * [simplify]: Extracting #4: cost 2 inf + 711
72.572 * * [simplify]: Extracting #5: cost 0 inf + 836
72.572 * [simplify]: Simplified to (- 1/4 (/ k 4))
72.572 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.573 * * * * [progress]: [ 120 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.573 * [simplify]: Simplifying (/ 1 2)
72.573 * * [simplify]: iters left: 2 (3 enodes)
72.574 * * [simplify]: iters left: 1 (12 enodes)
72.577 * * [simplify]: Extracting #0: cost 1 inf + 0
72.577 * * [simplify]: Extracting #1: cost 0 inf + 1
72.577 * [simplify]: Simplified to 1/2
72.577 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.577 * * * * [progress]: [ 121 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 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))))>
72.577 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2))
72.577 * * [simplify]: iters left: 6 (8 enodes)
72.580 * * [simplify]: iters left: 5 (38 enodes)
72.589 * * [simplify]: iters left: 4 (66 enodes)
72.600 * * [simplify]: iters left: 3 (110 enodes)
72.619 * * [simplify]: iters left: 2 (200 enodes)
72.666 * * [simplify]: iters left: 1 (403 enodes)
72.790 * * [simplify]: Extracting #0: cost 1 inf + 0
72.790 * * [simplify]: Extracting #1: cost 26 inf + 0
72.791 * * [simplify]: Extracting #2: cost 100 inf + 2
72.791 * * [simplify]: Extracting #3: cost 164 inf + 10
72.792 * * [simplify]: Extracting #4: cost 157 inf + 1472
72.795 * * [simplify]: Extracting #5: cost 64 inf + 19273
72.807 * * [simplify]: Extracting #6: cost 8 inf + 47461
72.822 * * [simplify]: Extracting #7: cost 0 inf + 52807
72.839 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4)))
72.839 * [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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
72.840 * * * * [progress]: [ 122 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.840 * * * * [progress]: [ 123 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (log (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))))>
72.840 * * * * [progress]: [ 124 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (log (exp (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))))>
72.840 * * * * [progress]: [ 125 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.840 * * * * [progress]: [ 126 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.840 * * * * [progress]: [ 127 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.840 * * * * [progress]: [ 128 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (* 1 (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))))>
72.840 * * * * [progress]: [ 129 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
72.840 * * * * [progress]: [ 130 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (posit16->real (real->posit16 (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))))>
72.840 * * * * [progress]: [ 131 / 176 ] 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)) (/ (pow (- 1 k) 1/3) 4)) (sqrt k))))>
72.840 * * * * [progress]: [ 132 / 176 ] 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)) (/ (pow (cbrt (- 1 k)) 1) 4)) (sqrt k))))>
72.840 * * * * [progress]: [ 133 / 176 ] 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)) (/ (exp (log (cbrt (- 1 k)))) 4)) (sqrt k))))>
72.841 * * * * [progress]: [ 134 / 176 ] 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)) (/ (log (exp (cbrt (- 1 k)))) 4)) (sqrt k))))>
72.841 * * * * [progress]: [ 135 / 176 ] 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 (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (cbrt (cbrt (- 1 k)))) 4)) (sqrt k))))>
72.841 * [simplify]: Simplifying (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
72.841 * * [simplify]: iters left: 6 (6 enodes)
72.845 * * [simplify]: iters left: 5 (22 enodes)
72.851 * * [simplify]: iters left: 4 (27 enodes)
72.859 * * [simplify]: Extracting #0: cost 1 inf + 0
72.859 * * [simplify]: Extracting #1: cost 3 inf + 0
72.859 * * [simplify]: Extracting #2: cost 5 inf + 0
72.859 * * [simplify]: Extracting #3: cost 7 inf + 0
72.859 * * [simplify]: Extracting #4: cost 11 inf + 0
72.859 * * [simplify]: Extracting #5: cost 7 inf + 127
72.860 * * [simplify]: Extracting #6: cost 1 inf + 978
72.860 * * [simplify]: Extracting #7: cost 0 inf + 1220
72.860 * [simplify]: Simplified to (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
72.860 * [simplify]: Simplified (2 2 1 2 1 1) 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 (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (cbrt (cbrt (- 1 k)))) 4)) (sqrt k))))
72.861 * * * * [progress]: [ 136 / 176 ] 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 (sqrt (- 1 k))) (cbrt (sqrt (- 1 k)))) 4)) (sqrt k))))>
72.861 * [simplify]: Simplifying (cbrt (sqrt (- 1 k)))
72.861 * * [simplify]: iters left: 4 (5 enodes)
72.864 * * [simplify]: iters left: 3 (19 enodes)
72.870 * * [simplify]: iters left: 2 (24 enodes)
72.876 * * [simplify]: Extracting #0: cost 1 inf + 0
72.876 * * [simplify]: Extracting #1: cost 3 inf + 0
72.876 * * [simplify]: Extracting #2: cost 5 inf + 0
72.876 * * [simplify]: Extracting #3: cost 9 inf + 0
72.876 * * [simplify]: Extracting #4: cost 7 inf + 43
72.877 * * [simplify]: Extracting #5: cost 0 inf + 656
72.877 * [simplify]: Simplified to (cbrt (sqrt (- 1 k)))
72.877 * [simplify]: Simplified (2 2 1 2 1 1) 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 (sqrt (- 1 k))) (cbrt (sqrt (- 1 k)))) 4)) (sqrt k))))
72.877 * * * * [progress]: [ 137 / 176 ] 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) (cbrt (- 1 k))) 4)) (sqrt k))))>
72.878 * [simplify]: Simplifying (cbrt 1)
72.878 * * [simplify]: iters left: 1 (2 enodes)
72.881 * * [simplify]: Extracting #0: cost 1 inf + 0
72.881 * * [simplify]: Extracting #1: cost 0 inf + 1
72.881 * [simplify]: Simplified to 1
72.881 * [simplify]: Simplified (2 2 1 2 1 1) 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)) (/ (* 1 (cbrt (- 1 k))) 4)) (sqrt k))))
72.881 * * * * [progress]: [ 138 / 176 ] 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 (+ (sqrt 1) (sqrt k))) (cbrt (- (sqrt 1) (sqrt k)))) 4)) (sqrt k))))>
72.882 * [simplify]: Simplifying (cbrt (+ (sqrt 1) (sqrt k)))
72.882 * * [simplify]: iters left: 4 (6 enodes)
72.886 * * [simplify]: iters left: 3 (21 enodes)
72.892 * * [simplify]: iters left: 2 (23 enodes)
72.898 * * [simplify]: Extracting #0: cost 1 inf + 0
72.899 * * [simplify]: Extracting #1: cost 3 inf + 0
72.899 * * [simplify]: Extracting #2: cost 6 inf + 0
72.899 * * [simplify]: Extracting #3: cost 7 inf + 1
72.899 * * [simplify]: Extracting #4: cost 1 inf + 410
72.899 * * [simplify]: Extracting #5: cost 0 inf + 572
72.899 * [simplify]: Simplified to (cbrt (+ (sqrt k) 1))
72.899 * [simplify]: Simplified (2 2 1 2 1 1) 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 (+ (sqrt k) 1)) (cbrt (- (sqrt 1) (sqrt k)))) 4)) (sqrt k))))
72.900 * * * * [progress]: [ 139 / 176 ] 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 (sqrt k))) (cbrt (- 1 (sqrt k)))) 4)) (sqrt k))))>
72.900 * [simplify]: Simplifying (cbrt (+ 1 (sqrt k)))
72.900 * * [simplify]: iters left: 4 (5 enodes)
72.903 * * [simplify]: iters left: 3 (18 enodes)
72.908 * * [simplify]: iters left: 2 (20 enodes)
72.914 * * [simplify]: Extracting #0: cost 1 inf + 0
72.914 * * [simplify]: Extracting #1: cost 3 inf + 0
72.914 * * [simplify]: Extracting #2: cost 6 inf + 0
72.914 * * [simplify]: Extracting #3: cost 7 inf + 1
72.914 * * [simplify]: Extracting #4: cost 0 inf + 572
72.914 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k)))
72.914 * [simplify]: Simplified (2 2 1 2 1 1) 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 (sqrt k))) (cbrt (- 1 (sqrt k)))) 4)) (sqrt k))))
72.915 * * * * [progress]: [ 140 / 176 ] 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) (cbrt (- 1 k))) 4)) (sqrt k))))>
72.915 * [simplify]: Simplifying (cbrt 1)
72.915 * * [simplify]: iters left: 1 (2 enodes)
72.918 * * [simplify]: Extracting #0: cost 1 inf + 0
72.918 * * [simplify]: Extracting #1: cost 0 inf + 1
72.918 * [simplify]: Simplified to 1
72.918 * [simplify]: Simplified (2 2 1 2 1 1) 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)) (/ (* 1 (cbrt (- 1 k))) 4)) (sqrt k))))
72.918 * * * * [progress]: [ 141 / 176 ] 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 (- (pow 1 3) (pow k 3))) (cbrt (+ (* 1 1) (+ (* k k) (* 1 k))))) 4)) (sqrt k))))>
72.919 * [simplify]: Simplifying (cbrt (- (pow 1 3) (pow k 3)))
72.919 * * [simplify]: iters left: 4 (7 enodes)
72.924 * * [simplify]: iters left: 3 (33 enodes)
72.936 * * [simplify]: iters left: 2 (64 enodes)
72.961 * * [simplify]: iters left: 1 (105 enodes)
72.997 * * [simplify]: Extracting #0: cost 1 inf + 0
72.997 * * [simplify]: Extracting #1: cost 3 inf + 0
72.997 * * [simplify]: Extracting #2: cost 7 inf + 0
72.997 * * [simplify]: Extracting #3: cost 22 inf + 1
72.998 * * [simplify]: Extracting #4: cost 39 inf + 44
72.998 * * [simplify]: Extracting #5: cost 25 inf + 1493
72.999 * * [simplify]: Extracting #6: cost 10 inf + 5596
73.001 * * [simplify]: Extracting #7: cost 0 inf + 9753
73.002 * [simplify]: Simplified to (cbrt (- 1 (* k (* k k))))
73.003 * [simplify]: Simplified (2 2 1 2 1 1) 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 (* k k)))) (cbrt (+ (* 1 1) (+ (* k k) (* 1 k))))) 4)) (sqrt k))))
73.003 * * * * [progress]: [ 142 / 176 ] 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 1) (* k k))) (cbrt (+ 1 k))) 4)) (sqrt k))))>
73.003 * [simplify]: Simplifying (cbrt (- (* 1 1) (* k k)))
73.003 * * [simplify]: iters left: 5 (6 enodes)
73.006 * * [simplify]: iters left: 4 (20 enodes)
73.010 * * [simplify]: iters left: 3 (29 enodes)
73.014 * * [simplify]: iters left: 2 (31 enodes)
73.018 * * [simplify]: Extracting #0: cost 1 inf + 0
73.018 * * [simplify]: Extracting #1: cost 3 inf + 0
73.018 * * [simplify]: Extracting #2: cost 7 inf + 0
73.019 * * [simplify]: Extracting #3: cost 10 inf + 1
73.019 * * [simplify]: Extracting #4: cost 2 inf + 613
73.019 * * [simplify]: Extracting #5: cost 0 inf + 816
73.019 * [simplify]: Simplified to (cbrt (- 1 (* k k)))
73.019 * [simplify]: Simplified (2 2 1 2 1 1) 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 k))) (cbrt (+ 1 k))) 4)) (sqrt k))))
73.019 * * * * [progress]: [ 143 / 176 ] 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 (cbrt (- 1 k))) (cbrt (cbrt (- 1 k)))) (cbrt (cbrt (- 1 k)))) 4)) (sqrt k))))>
73.019 * * * * [progress]: [ 144 / 176 ] 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 (* (* (cbrt (- 1 k)) (cbrt (- 1 k))) (cbrt (- 1 k)))) 4)) (sqrt k))))>
73.019 * * * * [progress]: [ 145 / 176 ] 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)) (/ (* (sqrt (cbrt (- 1 k))) (sqrt (cbrt (- 1 k)))) 4)) (sqrt k))))>
73.019 * * * * [progress]: [ 146 / 176 ] 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)) (/ (* 1 (cbrt (- 1 k))) 4)) (sqrt k))))>
73.019 * * * * [progress]: [ 147 / 176 ] 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)) (/ (posit16->real (real->posit16 (cbrt (- 1 k)))) 4)) (sqrt k))))>
73.019 * * * * [progress]: [ 148 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (pow (- 1 k) 1/3)) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.019 * * * * [progress]: [ 149 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (pow (cbrt (- 1 k)) 1)) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.019 * * * * [progress]: [ 150 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (exp (log (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.020 * * * * [progress]: [ 151 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (log (exp (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.020 * * * * [progress]: [ 152 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (cbrt (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.020 * [simplify]: Simplifying (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
73.020 * * [simplify]: iters left: 6 (6 enodes)
73.021 * * [simplify]: iters left: 5 (22 enodes)
73.025 * * [simplify]: iters left: 4 (27 enodes)
73.029 * * [simplify]: Extracting #0: cost 1 inf + 0
73.029 * * [simplify]: Extracting #1: cost 3 inf + 0
73.029 * * [simplify]: Extracting #2: cost 5 inf + 0
73.029 * * [simplify]: Extracting #3: cost 7 inf + 0
73.029 * * [simplify]: Extracting #4: cost 11 inf + 0
73.029 * * [simplify]: Extracting #5: cost 7 inf + 127
73.029 * * [simplify]: Extracting #6: cost 1 inf + 978
73.029 * * [simplify]: Extracting #7: cost 0 inf + 1220
73.029 * [simplify]: Simplified to (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k))))
73.029 * [simplify]: Simplified (2 2 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (cbrt (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
73.030 * * * * [progress]: [ 153 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt (sqrt (- 1 k))) (cbrt (sqrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.030 * [simplify]: Simplifying (cbrt (sqrt (- 1 k)))
73.030 * * [simplify]: iters left: 4 (5 enodes)
73.031 * * [simplify]: iters left: 3 (19 enodes)
73.034 * * [simplify]: iters left: 2 (24 enodes)
73.037 * * [simplify]: Extracting #0: cost 1 inf + 0
73.037 * * [simplify]: Extracting #1: cost 3 inf + 0
73.037 * * [simplify]: Extracting #2: cost 5 inf + 0
73.038 * * [simplify]: Extracting #3: cost 9 inf + 0
73.038 * * [simplify]: Extracting #4: cost 7 inf + 43
73.038 * * [simplify]: Extracting #5: cost 0 inf + 656
73.038 * [simplify]: Simplified to (cbrt (sqrt (- 1 k)))
73.038 * [simplify]: Simplified (2 2 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt (sqrt (- 1 k))) (cbrt (sqrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
73.038 * * * * [progress]: [ 154 / 176 ] 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) (cbrt (- 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.038 * [simplify]: Simplifying (cbrt 1)
73.038 * * [simplify]: iters left: 1 (2 enodes)
73.040 * * [simplify]: Extracting #0: cost 1 inf + 0
73.040 * * [simplify]: Extracting #1: cost 0 inf + 1
73.040 * [simplify]: Simplified to 1
73.040 * [simplify]: Simplified (2 2 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* 1 (cbrt (- 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
73.040 * * * * [progress]: [ 155 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt (+ (sqrt 1) (sqrt k))) (cbrt (- (sqrt 1) (sqrt k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.040 * [simplify]: Simplifying (cbrt (+ (sqrt 1) (sqrt k)))
73.041 * * [simplify]: iters left: 4 (6 enodes)
73.043 * * [simplify]: iters left: 3 (21 enodes)
73.046 * * [simplify]: iters left: 2 (23 enodes)
73.049 * * [simplify]: Extracting #0: cost 1 inf + 0
73.049 * * [simplify]: Extracting #1: cost 3 inf + 0
73.049 * * [simplify]: Extracting #2: cost 6 inf + 0
73.049 * * [simplify]: Extracting #3: cost 7 inf + 1
73.049 * * [simplify]: Extracting #4: cost 1 inf + 410
73.049 * * [simplify]: Extracting #5: cost 0 inf + 572
73.049 * [simplify]: Simplified to (cbrt (+ (sqrt k) 1))
73.049 * [simplify]: Simplified (2 2 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt (+ (sqrt k) 1)) (cbrt (- (sqrt 1) (sqrt k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
73.050 * * * * [progress]: [ 156 / 176 ] 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 (sqrt k))) (cbrt (- 1 (sqrt k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.050 * [simplify]: Simplifying (cbrt (+ 1 (sqrt k)))
73.050 * * [simplify]: iters left: 4 (5 enodes)
73.051 * * [simplify]: iters left: 3 (18 enodes)
73.057 * * [simplify]: iters left: 2 (20 enodes)
73.062 * * [simplify]: Extracting #0: cost 1 inf + 0
73.062 * * [simplify]: Extracting #1: cost 3 inf + 0
73.062 * * [simplify]: Extracting #2: cost 6 inf + 0
73.062 * * [simplify]: Extracting #3: cost 7 inf + 1
73.062 * * [simplify]: Extracting #4: cost 0 inf + 572
73.063 * [simplify]: Simplified to (cbrt (+ 1 (sqrt k)))
73.063 * [simplify]: Simplified (2 2 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (cbrt (+ 1 (sqrt k))) (cbrt (- 1 (sqrt k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
73.063 * * * * [progress]: [ 157 / 176 ] 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) (cbrt (- 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.063 * [simplify]: Simplifying (cbrt 1)
73.063 * * [simplify]: iters left: 1 (2 enodes)
73.069 * * [simplify]: Extracting #0: cost 1 inf + 0
73.069 * * [simplify]: Extracting #1: cost 0 inf + 1
73.069 * [simplify]: Simplified to 1
73.069 * [simplify]: Simplified (2 2 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* 1 (cbrt (- 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
73.069 * * * * [progress]: [ 158 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (/ (cbrt (- (pow 1 3) (pow k 3))) (cbrt (+ (* 1 1) (+ (* k k) (* 1 k)))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.069 * [simplify]: Simplifying (cbrt (- (pow 1 3) (pow k 3)))
73.069 * * [simplify]: iters left: 4 (7 enodes)
73.074 * * [simplify]: iters left: 3 (33 enodes)
73.086 * * [simplify]: iters left: 2 (64 enodes)
73.108 * * [simplify]: iters left: 1 (105 enodes)
73.139 * * [simplify]: Extracting #0: cost 1 inf + 0
73.140 * * [simplify]: Extracting #1: cost 3 inf + 0
73.140 * * [simplify]: Extracting #2: cost 7 inf + 0
73.140 * * [simplify]: Extracting #3: cost 22 inf + 1
73.140 * * [simplify]: Extracting #4: cost 39 inf + 44
73.140 * * [simplify]: Extracting #5: cost 25 inf + 1493
73.140 * * [simplify]: Extracting #6: cost 10 inf + 5596
73.141 * * [simplify]: Extracting #7: cost 0 inf + 9753
73.142 * [simplify]: Simplified to (cbrt (- 1 (* k (* k k))))
73.142 * [simplify]: Simplified (2 2 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (/ (cbrt (- 1 (* k (* k k)))) (cbrt (+ (* 1 1) (+ (* k k) (* 1 k)))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
73.142 * * * * [progress]: [ 159 / 176 ] 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 1) (* k k))) (cbrt (+ 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.142 * [simplify]: Simplifying (cbrt (- (* 1 1) (* k k)))
73.143 * * [simplify]: iters left: 5 (6 enodes)
73.144 * * [simplify]: iters left: 4 (20 enodes)
73.147 * * [simplify]: iters left: 3 (29 enodes)
73.151 * * [simplify]: iters left: 2 (31 enodes)
73.155 * * [simplify]: Extracting #0: cost 1 inf + 0
73.155 * * [simplify]: Extracting #1: cost 3 inf + 0
73.155 * * [simplify]: Extracting #2: cost 7 inf + 0
73.155 * * [simplify]: Extracting #3: cost 10 inf + 1
73.155 * * [simplify]: Extracting #4: cost 2 inf + 613
73.156 * * [simplify]: Extracting #5: cost 0 inf + 816
73.156 * [simplify]: Simplified to (cbrt (- 1 (* k k)))
73.156 * [simplify]: Simplified (2 2 1 1 2 1 1 2 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (/ (cbrt (- 1 (* k k))) (cbrt (+ 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
73.156 * * * * [progress]: [ 160 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (* (cbrt (cbrt (- 1 k))) (cbrt (cbrt (- 1 k)))) (cbrt (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.156 * * * * [progress]: [ 161 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (* (* (cbrt (- 1 k)) (cbrt (- 1 k))) (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.156 * * * * [progress]: [ 162 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* (sqrt (cbrt (- 1 k))) (sqrt (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.156 * * * * [progress]: [ 163 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (* 1 (cbrt (- 1 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.156 * * * * [progress]: [ 164 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (posit16->real (real->posit16 (cbrt (- 1 k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.156 * * * * [progress]: [ 165 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (- (+ (* 2/9 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (+ (* 4/9 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (+ (* 2/9 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2)))) (exp (+ (log n) (log (* 2 PI))))))) (+ (* 2/3 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (+ (* 1/9 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (+ (* 1/9 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (* 2/3 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI))))))))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.156 * [simplify]: Simplifying (- (+ (* 2/9 (* (pow (log (* 2 PI)) 2) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (+ (* 4/9 (* (log n) (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2))))) (+ (* 2/9 (* (exp (+ (log n) (log (* 2 PI)))) (* (pow (log n) 2) (pow k 2)))) (exp (+ (log n) (log (* 2 PI))))))) (+ (* 2/3 (* k (* (log n) (exp (+ (log n) (log (* 2 PI))))))) (+ (* 1/9 (* (exp (+ (log n) (log (* 2 PI)))) (* (log n) (pow k 2)))) (+ (* 1/9 (* (log (* 2 PI)) (* (exp (+ (log n) (log (* 2 PI)))) (pow k 2)))) (* 2/3 (* k (* (exp (+ (log n) (log (* 2 PI)))) (log (* 2 PI)))))))))
73.157 * * [simplify]: iters left: 6 (42 enodes)
73.169 * * [simplify]: iters left: 5 (209 enodes)
73.245 * * [simplify]: Extracting #0: cost 1 inf + 0
73.245 * * [simplify]: Extracting #1: cost 25 inf + 0
73.245 * * [simplify]: Extracting #2: cost 115 inf + 0
73.246 * * [simplify]: Extracting #3: cost 203 inf + 127
73.246 * * [simplify]: Extracting #4: cost 233 inf + 1269
73.248 * * [simplify]: Extracting #5: cost 193 inf + 6903
73.252 * * [simplify]: Extracting #6: cost 100 inf + 30966
73.263 * * [simplify]: Extracting #7: cost 26 inf + 65294
73.281 * * [simplify]: Extracting #8: cost 1 inf + 87916
73.302 * * [simplify]: Extracting #9: cost 0 inf + 88382
73.323 * * [simplify]: Extracting #10: cost 0 inf + 88342
73.350 * [simplify]: Simplified to (- (+ (* (* (* (log (* PI 2)) (log (* PI 2))) 2/9) (* (* k k) (* (* PI 2) n))) (+ (+ (* (* PI 2) n) (* (* n (* (* PI 2) (* (* (log n) k) (* (log n) k)))) 2/9)) (* 4/9 (* (* (* (* (log n) n) (* PI 2)) (* k k)) (log (* PI 2)))))) (+ (* 1/9 (+ (* (* (* (log n) n) (* PI 2)) (* k k)) (* (* (* PI 2) n) (* (* k k) (log (* PI 2)))))) (+ (* 2/3 (* (log (* PI 2)) (* (* k n) (* PI 2)))) (* (* (* (log n) n) (* PI 2)) (* k 2/3)))))
73.350 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (- (+ (* (* (* (log (* PI 2)) (log (* PI 2))) 2/9) (* (* k k) (* (* PI 2) n))) (+ (+ (* (* PI 2) n) (* (* n (* (* PI 2) (* (* (log n) k) (* (log n) k)))) 2/9)) (* 4/9 (* (* (* (* (log n) n) (* PI 2)) (* k k)) (log (* PI 2)))))) (+ (* 1/9 (+ (* (* (* (log n) n) (* PI 2)) (* k k)) (* (* (* PI 2) n) (* (* k k) (log (* PI 2)))))) (+ (* 2/3 (* (log (* PI 2)) (* (* k n) (* PI 2)))) (* (* (* (log n) n) (* PI 2)) (* k 2/3))))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
73.351 * * * * [progress]: [ 166 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (- (+ (* 1/9 (* (pow (/ 1 (pow k 4)) 1/3) (* (log (/ 1 n)) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))))) (+ (* 2/9 (* (pow (/ 1 (pow k 2)) 1/3) (* (pow (log (/ 1 n)) 2) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))))) (+ (* 2/3 (* (pow (/ 1 k) 1/3) (* (log (/ 1 n)) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))))) (+ (* 2/9 (* (* (pow (log (* 2 PI)) 2) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 2)) 1/3))) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3))))))) (+ (* 2/3 (* (pow (/ 1 k) 1/3) (* (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3))) (log (* 2 PI))))) (+ (* 1/9 (* (* (log (* 2 PI)) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/9 (* (pow (/ 1 (pow k 2)) 1/3) (* (log (/ 1 n)) (* (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3))) (log (* 2 PI)))))) (* 2/9 (* (* (log (* 2 PI)) (* (log (/ 1 n)) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3))))) (pow (/ 1 (pow k 2)) 1/3))))))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.351 * [simplify]: Simplifying (- (+ (* 1/9 (* (pow (/ 1 (pow k 4)) 1/3) (* (log (/ 1 n)) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))))) (+ (* 2/9 (* (pow (/ 1 (pow k 2)) 1/3) (* (pow (log (/ 1 n)) 2) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))))) (+ (* 2/3 (* (pow (/ 1 k) 1/3) (* (log (/ 1 n)) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))))) (+ (* 2/9 (* (* (pow (log (* 2 PI)) 2) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 2)) 1/3))) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3))))))) (+ (* 2/3 (* (pow (/ 1 k) 1/3) (* (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3))) (log (* 2 PI))))) (+ (* 1/9 (* (* (log (* 2 PI)) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/9 (* (pow (/ 1 (pow k 2)) 1/3) (* (log (/ 1 n)) (* (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3))) (log (* 2 PI)))))) (* 2/9 (* (* (log (* 2 PI)) (* (log (/ 1 n)) (exp (* (- (log (* 2 PI)) (log (/ 1 n))) (pow (pow k 2) 1/3))))) (pow (/ 1 (pow k 2)) 1/3)))))))
73.352 * * [simplify]: iters left: 6 (59 enodes)
73.369 * * [simplify]: iters left: 5 (295 enodes)
73.467 * * [simplify]: Extracting #0: cost 1 inf + 0
73.467 * * [simplify]: Extracting #1: cost 25 inf + 0
73.468 * * [simplify]: Extracting #2: cost 136 inf + 0
73.468 * * [simplify]: Extracting #3: cost 270 inf + 4
73.469 * * [simplify]: Extracting #4: cost 334 inf + 8
73.471 * * [simplify]: Extracting #5: cost 318 inf + 1860
73.475 * * [simplify]: Extracting #6: cost 242 inf + 21446
73.497 * * [simplify]: Extracting #7: cost 92 inf + 102646
73.523 * * [simplify]: Extracting #8: cost 42 inf + 147929
73.577 * * [simplify]: Extracting #9: cost 6 inf + 200566
73.624 * * [simplify]: Extracting #10: cost 0 inf + 211479
73.672 * [simplify]: Simplified to (+ (+ (+ (* 2/9 (* (* (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))) (* (log n) (log n))) (cbrt (/ 1 (* k k))))) (* (* (- (log n)) (cbrt (/ 1 k))) (* (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))) 2/3))) (- (+ (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))) (* 2/9 (* (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))) (* (* (log (* 2 PI)) (log (* 2 PI))) (cbrt (/ 1 (* k k))))))) (+ (+ (* (* (cbrt (/ 1 (* (* k k) (* k k)))) 1/9) (* (log (* 2 PI)) (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))))) (* (* (log (* 2 PI)) (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k))))) (* (cbrt (/ 1 k)) 2/3))) (* (* (* (- (* (log n) (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))))) (log (* 2 PI))) (cbrt (/ 1 (* k k)))) 4/9)))) (* (* (- (* (log n) (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))))) (cbrt (/ 1 (* (* k k) (* k k))))) 1/9))
73.672 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (+ (+ (+ (* 2/9 (* (* (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))) (* (log n) (log n))) (cbrt (/ 1 (* k k))))) (* (* (- (log n)) (cbrt (/ 1 k))) (* (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))) 2/3))) (- (+ (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))) (* 2/9 (* (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))) (* (* (log (* 2 PI)) (log (* 2 PI))) (cbrt (/ 1 (* k k))))))) (+ (+ (* (* (cbrt (/ 1 (* (* k k) (* k k)))) 1/9) (* (log (* 2 PI)) (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))))) (* (* (log (* 2 PI)) (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k))))) (* (cbrt (/ 1 k)) 2/3))) (* (* (* (- (* (log n) (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))))) (log (* 2 PI))) (cbrt (/ 1 (* k k)))) 4/9)))) (* (* (- (* (log n) (exp (* (+ (log n) (log (* 2 PI))) (cbrt (* k k)))))) (cbrt (/ 1 (* (* k k) (* k k))))) 1/9)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
73.673 * * * * [progress]: [ 167 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (- (+ (* 1/9 (* (* (log (/ -1 n)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/9 (* (* (pow (log (/ -1 n)) 2) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 2)) 1/3))) (+ (* 2/9 (* (* (pow (log (* -2 PI)) 2) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 2)) 1/3))) (+ (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3))) (* 2/3 (* (* (log (/ -1 n)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 k) 1/3))))))) (+ (* 1/9 (* (* (log (* -2 PI)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/3 (* (pow (/ 1 k) 1/3) (* (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3))) (log (* -2 PI))))) (+ (* 2/9 (* (* (log (* -2 PI)) (* (log (/ -1 n)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3))))) (pow (/ 1 (pow k 2)) 1/3))) (* 2/9 (* (pow (/ 1 (pow k 2)) 1/3) (* (log (/ -1 n)) (* (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3))) (log (* -2 PI)))))))))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.673 * [simplify]: Simplifying (- (+ (* 1/9 (* (* (log (/ -1 n)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/9 (* (* (pow (log (/ -1 n)) 2) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 2)) 1/3))) (+ (* 2/9 (* (* (pow (log (* -2 PI)) 2) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 2)) 1/3))) (+ (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3))) (* 2/3 (* (* (log (/ -1 n)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 k) 1/3))))))) (+ (* 1/9 (* (* (log (* -2 PI)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3)))) (pow (/ 1 (pow k 4)) 1/3))) (+ (* 2/3 (* (pow (/ 1 k) 1/3) (* (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3))) (log (* -2 PI))))) (+ (* 2/9 (* (* (log (* -2 PI)) (* (log (/ -1 n)) (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3))))) (pow (/ 1 (pow k 2)) 1/3))) (* 2/9 (* (pow (/ 1 (pow k 2)) 1/3) (* (log (/ -1 n)) (* (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (pow (pow k 2) 1/3))) (log (* -2 PI))))))))))
73.674 * * [simplify]: iters left: 6 (61 enodes)
73.692 * * [simplify]: iters left: 5 (302 enodes)
73.775 * * [simplify]: Extracting #0: cost 1 inf + 0
73.775 * * [simplify]: Extracting #1: cost 25 inf + 0
73.775 * * [simplify]: Extracting #2: cost 135 inf + 0
73.776 * * [simplify]: Extracting #3: cost 262 inf + 4
73.777 * * [simplify]: Extracting #4: cost 331 inf + 7
73.778 * * [simplify]: Extracting #5: cost 315 inf + 1589
73.781 * * [simplify]: Extracting #6: cost 251 inf + 19258
73.801 * * [simplify]: Extracting #7: cost 136 inf + 79386
73.847 * * [simplify]: Extracting #8: cost 32 inf + 167595
73.898 * * [simplify]: Extracting #9: cost 1 inf + 211055
73.942 * * [simplify]: Extracting #10: cost 0 inf + 212635
73.992 * [simplify]: Simplified to (- (- (+ (+ (+ (* (cbrt (/ 1 k)) (* (* 2/3 (log (/ -1 n))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (cbrt (/ 1 (* k k))) (+ (* (* 2/9 (* (log (/ -1 n)) (log (/ -1 n)))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (* 2/9 (* (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (log (* -2 PI)) (log (* -2 PI)))))))) (* (* (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n))))) (log (/ -1 n))) (* (cbrt (/ 1 (* (* k k) (* k k)))) 1/9))) (+ (* (* (* (log (* -2 PI)) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (cbrt (/ 1 (* k k))) (log (/ -1 n)))) 4/9) (* (* (cbrt (/ 1 k)) 2/3) (* (log (* -2 PI)) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n))))))))) (* (* 1/9 (cbrt (/ 1 (* (* k k) (* k k))))) (* (log (* -2 PI)) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n))))))))
73.992 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (- (- (+ (+ (+ (* (cbrt (/ 1 k)) (* (* 2/3 (log (/ -1 n))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n))))))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (cbrt (/ 1 (* k k))) (+ (* (* 2/9 (* (log (/ -1 n)) (log (/ -1 n)))) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (* 2/9 (* (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (log (* -2 PI)) (log (* -2 PI)))))))) (* (* (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n))))) (log (/ -1 n))) (* (cbrt (/ 1 (* (* k k) (* k k)))) 1/9))) (+ (* (* (* (log (* -2 PI)) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (cbrt (/ 1 (* k k))) (log (/ -1 n)))) 4/9) (* (* (cbrt (/ 1 k)) 2/3) (* (log (* -2 PI)) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n))))))))) (* (* 1/9 (cbrt (/ 1 (* (* k k) (* k k))))) (* (log (* -2 PI)) (exp (* (cbrt (* k k)) (- (log (* -2 PI)) (log (/ -1 n)))))))) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
73.993 * * * * [progress]: [ 168 / 176 ] 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 (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
73.993 * [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)))))))
73.993 * * [simplify]: iters left: 6 (37 enodes)
74.006 * * [simplify]: iters left: 5 (190 enodes)
74.070 * * [simplify]: Extracting #0: cost 1 inf + 0
74.070 * * [simplify]: Extracting #1: cost 18 inf + 0
74.070 * * [simplify]: Extracting #2: cost 85 inf + 0
74.070 * * [simplify]: Extracting #3: cost 169 inf + 45
74.071 * * [simplify]: Extracting #4: cost 194 inf + 581
74.073 * * [simplify]: Extracting #5: cost 128 inf + 18118
74.083 * * [simplify]: Extracting #6: cost 27 inf + 64733
74.098 * * [simplify]: Extracting #7: cost 1 inf + 82414
74.116 * * [simplify]: Extracting #8: cost 0 inf + 81915
74.140 * * [simplify]: Extracting #9: cost 0 inf + 81594
74.158 * [simplify]: Simplified to (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4)))
74.158 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (+ (+ (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* (log (* PI 2)) 1/16) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (* k k) (log n))))) (- (* 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))))))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))) 1/4))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
74.158 * * * * [progress]: [ 169 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
74.159 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
74.159 * * [simplify]: iters left: 6 (15 enodes)
74.164 * * [simplify]: iters left: 5 (65 enodes)
74.177 * * [simplify]: iters left: 4 (123 enodes)
74.211 * * [simplify]: iters left: 3 (360 enodes)
74.360 * * [simplify]: Extracting #0: cost 1 inf + 0
74.360 * * [simplify]: Extracting #1: cost 37 inf + 0
74.361 * * [simplify]: Extracting #2: cost 214 inf + 1
74.362 * * [simplify]: Extracting #3: cost 351 inf + 1827
74.366 * * [simplify]: Extracting #4: cost 217 inf + 29927
74.382 * * [simplify]: Extracting #5: cost 35 inf + 80289
74.399 * * [simplify]: Extracting #6: cost 0 inf + 89737
74.430 * * [simplify]: Extracting #7: cost 0 inf + 88848
74.460 * * [simplify]: Extracting #8: cost 0 inf + 88843
74.490 * [simplify]: Simplified to (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4))
74.490 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (exp (* (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 1/4)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
74.491 * * * * [progress]: [ 170 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
74.491 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
74.491 * * [simplify]: iters left: 6 (16 enodes)
74.501 * * [simplify]: iters left: 5 (67 enodes)
74.527 * * [simplify]: iters left: 4 (134 enodes)
74.571 * * [simplify]: iters left: 3 (406 enodes)
74.727 * * [simplify]: Extracting #0: cost 1 inf + 0
74.727 * * [simplify]: Extracting #1: cost 39 inf + 0
74.728 * * [simplify]: Extracting #2: cost 241 inf + 72
74.729 * * [simplify]: Extracting #3: cost 449 inf + 888
74.735 * * [simplify]: Extracting #4: cost 276 inf + 41470
74.753 * * [simplify]: Extracting #5: cost 21 inf + 115189
74.777 * * [simplify]: Extracting #6: cost 0 inf + 121987
74.806 * * [simplify]: Extracting #7: cost 0 inf + 121985
74.836 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
74.836 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
74.836 * * * * [progress]: [ 171 / 176 ] 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)) (/ (- 1 (+ (* 1/9 (pow k 2)) (* 1/3 k))) 4)) (sqrt k))))>
74.836 * [simplify]: Simplifying (- 1 (+ (* 1/9 (pow k 2)) (* 1/3 k)))
74.837 * * [simplify]: iters left: 6 (10 enodes)
74.840 * * [simplify]: iters left: 5 (43 enodes)
74.849 * * [simplify]: iters left: 4 (62 enodes)
74.867 * * [simplify]: iters left: 3 (112 enodes)
74.890 * * [simplify]: iters left: 2 (172 enodes)
74.926 * * [simplify]: iters left: 1 (222 enodes)
74.991 * * [simplify]: Extracting #0: cost 1 inf + 0
74.991 * * [simplify]: Extracting #1: cost 16 inf + 0
74.992 * * [simplify]: Extracting #2: cost 42 inf + 2
74.992 * * [simplify]: Extracting #3: cost 36 inf + 627
74.994 * * [simplify]: Extracting #4: cost 6 inf + 3340
74.997 * * [simplify]: Extracting #5: cost 0 inf + 4120
74.999 * [simplify]: Simplified to (- 1 (* k (+ (* k 1/9) 1/3)))
74.999 * [simplify]: Simplified (2 2 1 2 1) 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)) (/ (- 1 (* k (+ (* k 1/9) 1/3))) 4)) (sqrt k))))
75.000 * * * * [progress]: [ 172 / 176 ] 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)) (/ (- (exp (* 1/3 (- (log -1) (log (/ 1 k))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ 1 k))))) (pow k 2))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ 1 k))))) k)))) 4)) (sqrt k))))>
75.000 * [simplify]: Simplifying (- (exp (* 1/3 (- (log -1) (log (/ 1 k))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ 1 k))))) (pow k 2))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ 1 k))))) k))))
75.000 * * [simplify]: iters left: 6 (19 enodes)
75.013 * * [simplify]: iters left: 5 (83 enodes)
75.040 * * [simplify]: iters left: 4 (131 enodes)
75.065 * * [simplify]: iters left: 3 (260 enodes)
75.163 * * [simplify]: Extracting #0: cost 1 inf + 0
75.164 * * [simplify]: Extracting #1: cost 15 inf + 0
75.164 * * [simplify]: Extracting #2: cost 94 inf + 0
75.164 * * [simplify]: Extracting #3: cost 164 inf + 455
75.165 * * [simplify]: Extracting #4: cost 142 inf + 5141
75.168 * * [simplify]: Extracting #5: cost 75 inf + 18466
75.173 * * [simplify]: Extracting #6: cost 27 inf + 37321
75.180 * * [simplify]: Extracting #7: cost 0 inf + 53662
75.190 * [simplify]: Simplified to (- (cbrt (* -1 k)) (* (/ (cbrt (* -1 k)) k) (+ (/ 1/9 k) 1/3)))
75.190 * [simplify]: Simplified (2 2 1 2 1) 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)) (* (/ (cbrt (* -1 k)) k) (+ (/ 1/9 k) 1/3))) 4)) (sqrt k))))
75.191 * * * * [progress]: [ 173 / 176 ] 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)) (/ (- (pow (/ -1 k) -1/3) (+ (* 1/9 (pow (/ -1 (pow k 5)) 1/3)) (* 1/3 (pow (/ -1 (pow k 2)) 1/3)))) 4)) (sqrt k))))>
75.191 * [simplify]: Simplifying (- (pow (/ -1 k) -1/3) (+ (* 1/9 (pow (/ -1 (pow k 5)) 1/3)) (* 1/3 (pow (/ -1 (pow k 2)) 1/3))))
75.191 * * [simplify]: iters left: 6 (19 enodes)
75.204 * * [simplify]: iters left: 5 (85 enodes)
75.230 * * [simplify]: iters left: 4 (158 enodes)
75.273 * * [simplify]: iters left: 3 (347 enodes)
75.385 * * [simplify]: Extracting #0: cost 1 inf + 0
75.385 * * [simplify]: Extracting #1: cost 15 inf + 0
75.385 * * [simplify]: Extracting #2: cost 80 inf + 0
75.386 * * [simplify]: Extracting #3: cost 145 inf + 4
75.387 * * [simplify]: Extracting #4: cost 135 inf + 2319
75.390 * * [simplify]: Extracting #5: cost 124 inf + 9143
75.395 * * [simplify]: Extracting #6: cost 94 inf + 24525
75.406 * * [simplify]: Extracting #7: cost 81 inf + 29058
75.415 * * [simplify]: Extracting #8: cost 33 inf + 51129
75.428 * * [simplify]: Extracting #9: cost 2 inf + 71140
75.437 * * [simplify]: Extracting #10: cost 0 inf + 72481
75.444 * [simplify]: Simplified to (- (+ (pow (/ -1 k) -1/3) (* (cbrt (/ (/ -1 k) k)) -1/3)) (* 1/9 (cbrt (/ -1 (pow k 5)))))
75.444 * [simplify]: Simplified (2 2 1 2 1) 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)) (/ (- (+ (pow (/ -1 k) -1/3) (* (cbrt (/ (/ -1 k) k)) -1/3)) (* 1/9 (cbrt (/ -1 (pow k 5))))) 4)) (sqrt k))))
75.444 * * * * [progress]: [ 174 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (- 1 (+ (* 1/9 (pow k 2)) (* 1/3 k)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
75.444 * [simplify]: Simplifying (- 1 (+ (* 1/9 (pow k 2)) (* 1/3 k)))
75.444 * * [simplify]: iters left: 6 (10 enodes)
75.448 * * [simplify]: iters left: 5 (43 enodes)
75.455 * * [simplify]: iters left: 4 (62 enodes)
75.469 * * [simplify]: iters left: 3 (112 enodes)
75.504 * * [simplify]: iters left: 2 (172 enodes)
75.558 * * [simplify]: iters left: 1 (222 enodes)
75.593 * * [simplify]: Extracting #0: cost 1 inf + 0
75.593 * * [simplify]: Extracting #1: cost 16 inf + 0
75.594 * * [simplify]: Extracting #2: cost 42 inf + 2
75.594 * * [simplify]: Extracting #3: cost 36 inf + 627
75.596 * * [simplify]: Extracting #4: cost 6 inf + 3340
75.599 * * [simplify]: Extracting #5: cost 0 inf + 4120
75.601 * [simplify]: Simplified to (- 1 (* k (+ (* k 1/9) 1/3)))
75.601 * [simplify]: Simplified (2 2 1 1 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (- 1 (* k (+ (* k 1/9) 1/3)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
75.602 * * * * [progress]: [ 175 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (- (exp (* 1/3 (- (log -1) (log (/ 1 k))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ 1 k))))) (pow k 2))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ 1 k))))) k))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
75.602 * [simplify]: Simplifying (- (exp (* 1/3 (- (log -1) (log (/ 1 k))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ 1 k))))) (pow k 2))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ 1 k))))) k))))
75.602 * * [simplify]: iters left: 6 (19 enodes)
75.614 * * [simplify]: iters left: 5 (83 enodes)
75.643 * * [simplify]: iters left: 4 (131 enodes)
75.686 * * [simplify]: iters left: 3 (260 enodes)
75.760 * * [simplify]: Extracting #0: cost 1 inf + 0
75.761 * * [simplify]: Extracting #1: cost 15 inf + 0
75.761 * * [simplify]: Extracting #2: cost 94 inf + 0
75.762 * * [simplify]: Extracting #3: cost 164 inf + 455
75.764 * * [simplify]: Extracting #4: cost 142 inf + 5141
75.769 * * [simplify]: Extracting #5: cost 75 inf + 18466
75.779 * * [simplify]: Extracting #6: cost 27 inf + 37321
75.793 * * [simplify]: Extracting #7: cost 0 inf + 53662
75.808 * [simplify]: Simplified to (- (cbrt (* -1 k)) (* (/ (cbrt (* -1 k)) k) (+ (/ 1/9 k) 1/3)))
75.809 * [simplify]: Simplified (2 2 1 1 2 1 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 (* -1 k)) k) (+ (/ 1/9 k) 1/3)))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
75.809 * * * * [progress]: [ 176 / 176 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (- (pow (/ -1 k) -1/3) (+ (* 1/9 (pow (/ -1 (pow k 5)) 1/3)) (* 1/3 (pow (/ -1 (pow k 2)) 1/3))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))>
75.809 * [simplify]: Simplifying (- (pow (/ -1 k) -1/3) (+ (* 1/9 (pow (/ -1 (pow k 5)) 1/3)) (* 1/3 (pow (/ -1 (pow k 2)) 1/3))))
75.809 * * [simplify]: iters left: 6 (19 enodes)
75.822 * * [simplify]: iters left: 5 (85 enodes)
75.843 * * [simplify]: iters left: 4 (158 enodes)
75.888 * * [simplify]: iters left: 3 (347 enodes)
75.990 * * [simplify]: Extracting #0: cost 1 inf + 0
75.990 * * [simplify]: Extracting #1: cost 15 inf + 0
75.990 * * [simplify]: Extracting #2: cost 80 inf + 0
75.991 * * [simplify]: Extracting #3: cost 145 inf + 4
75.992 * * [simplify]: Extracting #4: cost 135 inf + 2319
75.995 * * [simplify]: Extracting #5: cost 124 inf + 9143
76.000 * * [simplify]: Extracting #6: cost 94 inf + 24525
76.004 * * [simplify]: Extracting #7: cost 81 inf + 29058
76.009 * * [simplify]: Extracting #8: cost 33 inf + 51129
76.015 * * [simplify]: Extracting #9: cost 2 inf + 71140
76.022 * * [simplify]: Extracting #10: cost 0 inf + 72481
76.029 * [simplify]: Simplified to (- (+ (pow (/ -1 k) -1/3) (* (cbrt (/ (/ -1 k) k)) -1/3)) (* 1/9 (cbrt (/ -1 (pow k 5)))))
76.029 * [simplify]: Simplified (2 2 1 1 2 1 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (- (+ (pow (/ -1 k) -1/3) (* (cbrt (/ (/ -1 k) k)) -1/3)) (* 1/9 (cbrt (/ -1 (pow k 5)))))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (sqrt k))))
76.029 * * * [progress]: adding candidates to table
79.148 * [progress]: [Phase 3 of 3] Extracting.
79.148 * * [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) (* (/ (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))))> #<alt (λ (k n) (cbrt (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))))> #<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)) 4)) (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 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))> #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<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)))))>)
79.151 * * * [regime-changes]: Trying 2 branch expressions: (n k)
79.151 * * * * [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) (* (/ (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))))> #<alt (λ (k n) (cbrt (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))))> #<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)) 4)) (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 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))> #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<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)))))>)
79.238 * * * * [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) (* (/ (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))))> #<alt (λ (k n) (cbrt (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2))))))> #<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)) 4)) (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 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))> #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))> #<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)))))>)
79.304 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
79.304 * [simplify]: Simplifying (* (/ (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)))
79.305 * * [simplify]: iters left: 6 (19 enodes)
79.306 * * [simplify]: iters left: 5 (25 enodes)
79.308 * * [simplify]: Extracting #0: cost 1 inf + 0
79.308 * * [simplify]: Extracting #1: cost 3 inf + 0
79.308 * * [simplify]: Extracting #2: cost 8 inf + 0
79.308 * * [simplify]: Extracting #3: cost 13 inf + 1
79.308 * * [simplify]: Extracting #4: cost 14 inf + 3
79.308 * * [simplify]: Extracting #5: cost 11 inf + 170
79.308 * * [simplify]: Extracting #6: cost 8 inf + 336
79.308 * * [simplify]: Extracting #7: cost 5 inf + 997
79.309 * * [simplify]: Extracting #8: cost 2 inf + 1938
79.310 * * [simplify]: Extracting #9: cost 0 inf + 3418
79.310 * [simplify]: Simplified to (* (pow (* (cbrt (* (* PI 2) n)) (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))) (/ (/ (- 1 k) 2) 2)) (/ (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2)) (sqrt k)))
87.920 * [regime-testing]: Baseline error score: 0.5197429599826796
87.924 * [regime-testing]: Oracle error score: 0.04575816352152193
87.933 * [regime-testing]: End program error score: 0.5197429599826796